diff --git a/Exercise1/exercise1.ipynb b/Exercise1/exercise1.ipynb index 6f921a48..81b39f02 100755 --- a/Exercise1/exercise1.ipynb +++ b/Exercise1/exercise1.ipynb @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -108,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -126,7 +126,7 @@ " Return the 5x5 identity matrix.\n", " \"\"\" \n", " # ======== YOUR CODE HERE ======\n", - " A = [] # modify this line\n", + " A = np.eye(5) # modify this line\n", " \n", " # ==============================\n", " return A" @@ -149,9 +149,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1., 0., 0., 0., 0.],\n", + " [0., 1., 0., 0., 0.],\n", + " [0., 0., 1., 0., 0.],\n", + " [0., 0., 0., 1., 0.],\n", + " [0., 0., 0., 0., 1.]])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "warmUpExercise()" ] @@ -173,9 +188,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 0 / 40 | Your answer is incorrect.\n", + " Gradient Descent (for one variable) | 0 / 50 | Your answer is incorrect.\n", + " Feature Normalization | 0 / 0 | Your answer is incorrect.\n", + " Computing Cost (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Normal Equations | 0 / 0 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 10 / 100 | \n", + "\n" + ] + } + ], "source": [ "# appends the implemented function in part 1 to the grader object\n", "grader[1] = warmUpExercise\n", @@ -199,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -236,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -270,8 +307,10 @@ " fig = pyplot.figure() # open a new figure\n", " \n", " # ====================== YOUR CODE HERE ======================= \n", - " \n", - "\n", + " pyplot.plot(x, y, 'ro', ms=10, mec='k')\n", + " pyplot.ylabel('Profit in $10,000')\n", + " pyplot.xlabel('Population of City in 10,000s')\n", + " #pyplot.show()\n", " # =============================================================\n" ] }, @@ -288,9 +327,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plotData(X, y)" ] @@ -352,7 +404,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -377,7 +429,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -395,11 +447,11 @@ " \n", " y : array_like\n", " The values of the function at each data point. This is a vector of\n", - " shape (m, ).\n", + " shape (m,1 ).\n", " \n", " theta : array_like\n", " The parameters for the regression function. This is a vector of \n", - " shape (n+1, ).\n", + " shape (n+1,1 ).\n", " \n", " Returns\n", " -------\n", @@ -416,10 +468,13 @@ " m = y.size # number of training examples\n", " \n", " # You need to return the following variables correctly\n", - " J = 0\n", " \n", - " # ====================== YOUR CODE HERE =====================\n", "\n", + " # ====================== YOUR CODE HERE =====================\n", + " xtheta = np.dot(X,theta)\n", + " esq = (xtheta-y)**2\n", + " esqsum = np.sum(esq)\n", + " J = esqsum/(2*m)\n", " \n", " # ===========================================================\n", " return J" @@ -434,9 +489,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "With theta = [0, 0] \n", + "Cost computed = 32.07\n", + "Expected cost value (approximately) 32.07\n", + "\n", + "With theta = [-1, 2]\n", + "Cost computed = 54.24\n", + "Expected cost value (approximately) 54.24\n" + ] + } + ], "source": [ "J = computeCost(X, y, theta=np.array([0.0, 0.0]))\n", "print('With theta = [0, 0] \\nCost computed = %.2f' % J)\n", @@ -457,9 +526,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 40 / 40 | Nice work!\n", + " Gradient Descent (for one variable) | 0 / 50 | Your answer is incorrect.\n", + " Feature Normalization | 0 / 0 | Your answer is incorrect.\n", + " Computing Cost (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Normal Equations | 0 / 0 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 50 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[2] = computeCost\n", "grader.grade()" @@ -494,7 +585,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -543,11 +634,18 @@ " # are passed by reference to functions\n", " theta = theta.copy()\n", " \n", - " J_history = [] # Use a python list to save cost in every iteration\n", + " J_history = [computeCost(X, y, theta)] # Use a python list to save cost in every iteration\n", " \n", " for i in range(num_iters):\n", " # ==================== YOUR CODE HERE =================================\n", + " #if J_history[i-1] and (J_history[i-1]-J_history[i])\n", + " #cost func = 1/2m * (XTheta - y)**2\n", + " #cost func grad = 1/m * Xtranspose * (Xtheta-y)\n", + " xtheta = np.dot(X,theta) #pred_y which is m x 1\n", + " err = xtheta - y # m x 1\n", + " grad = np.dot(X.T,err)/m # n+1 x 1\n", " \n", + " theta = theta - alpha*grad\n", "\n", " # =====================================================================\n", " \n", @@ -566,9 +664,18 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Theta found by gradient descent: -3.6303, 1.1664\n", + "Expected theta values (approximately): [-3.6303, 1.1664]\n" + ] + } + ], "source": [ "# initialize fitting parameters\n", "theta = np.zeros(2)\n", @@ -593,9 +700,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# plot the linear fit\n", "plotData(X[:, 1], y)\n", @@ -620,9 +740,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For population = 35,000, we predict a profit of 4519.77\n", + "\n", + "For population = 70,000, we predict a profit of 45342.45\n", + "\n" + ] + } + ], "source": [ "# Predict values for population sizes of 35,000 and 70,000\n", "predict1 = np.dot([1, 3.5], theta)\n", @@ -641,9 +772,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 40 / 40 | Nice work!\n", + " Gradient Descent (for one variable) | 50 / 50 | Nice work!\n", + " Feature Normalization | 0 / 0 | Your answer is incorrect.\n", + " Computing Cost (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Normal Equations | 0 / 0 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[3] = gradientDescent\n", "grader.grade()" @@ -666,9 +819,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqYAAAFNCAYAAADSEK1DAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOz9d3hbaXqnCd8HgQnMpBjFIOYcReWcpVKl7q7qtj0zHts9bXt7x2GcZ7we76694/U3Y7dn2t722t5xO3d1RVUp5xwoMeck5kyCBAOI+H5/gDgEKQaAlERKOvd16ariCcCLdPDDE36PJIRAQUFBQUFBQUFBYb1RrfcCFBQUFBQUFBQUFEARpgoKCgoKCgoKChsERZgqKCgoKCgoKChsCBRhqqCgoKCgoKCgsCFQhKmCgoKCgoKCgsKGQBGmCgoKCgoKCgoKGwJFmCp4jCRJkZIk3ZIkaUKSpP+23utRUFBQeB2RJElIkpTyAm9/ryRJjS/q9j1BkqRJSZKSnvexCq8eijB9Q5AkaY8kSfckSRqXJGlUkqS7kiSVrPLmvgMMA4FCiF97jstUUFBQWBRJkn5SkqTHs6KkT5Kk85Ik7XkOt/u3kiT9wfNY46uGEOK2ECJ9vdcBIITwF0K0Pe9jFV49FGH6BiBJUiDwFfA/gFAgFvjfAZOHtyNJkqQCEoA6oUxnUFBQeAlIkvQfgO8B/xcQCcQDfwG8u47LWhFJkjTrvQYFhVcNRZi+GaQBCCH+WQhhE0IYhRCXhBBVkiT9viRJ/+A8UJKkxNn0kWb27xuSJP2hJEl3gWng74CfBn5zNnJxRJKkbZIk3ZckaWw2kvF9SZK8XG4zW5Kky7OR2gFJkv7j7HaVJEm/LUlSqyRJI5IkfSRJUujLfGIUFBQ2NpIkBQH/B/BdIcSnQogpIYRFCPGlEOI3Zo/xliTpe5Ik9c7++54kSd6z+w5IktQtSdKvSZI0OHuN+pnZfd8Bfoq569mXs9szZ699Y5Ik1UqS9I7Lem5IkvRtl7//rSRJd1z+FpIkfVeSpGag2Y3HlyJJ0s3ZbNawJEk/WnDIEUmSmiVJ0kuS9OeSJEmz56kkSfpdSZI6Zh/X380+V0iS9ENJkn5t9v9jZ9f0v7jc3+hsoOGAJEndLmtplyTp1yVJqppdz48kSfJx2f+bs89fryRJ35aWKTWYfZ7+YDZTNylJ0peSJIVJkvSPkiQZJEkqlSQpccHzljL7/387+1jPSo6SsYeSJCUvc+xfSI4I+qTkyAZGzb4H9JIkNUiSVLjYuS7n/8Hs/zvfK7/p8l55T5KkU5IkNc0+b/9xpddUYW0owvTNoAmwzV6sTkqSFOLh+f8aR/o+APgZ4B+BP55Np1wBbMCvAuHATuAw4LwIBgBXgAtADJACXJ293V8C3gP2z+7TA3++yseooKDwerIT8AE+W+aY/wTsAAqAfGAb8Lsu+6OAIBzZop8D/lySpBAhxP/L/OvZ25IkaYEvgUtABPDvgX+UJMmTlPd7wHYgy41j/8/Z+woBNuPIbLlyGiiZfVwfAsdnt//b2X8HgSTAH/j+7L6bwIHZ/98PtM3+F2AfcHuZjNeHwAlgC5A3ex9IknQC+A/AERzX8f1LnO/Kt3B8f8QCycB94H/iyNzVA/95mXN/AkdmLwRoAf5wmWM/xPF6h+PIBN4Hymb//hj4EzfW6iQKx/stFvg94K+AfwUUA3uB35OU+tYXiiJM3wCEEAZgDyBwfMiGJEk6I0lSpJs38bdCiFohhFUIYVnk9p8IIR7M7m8H/pK5i9ZpoF8I8d+EEDNCiAkhxMPZfT8P/CchRLcQwgT8PvANSUl/KSgozBEGDAshrMsc81PA/yGEGBRCDOEQNP/aZb9ldr9FCHEOmASWEpo7cIi8PxJCmIUQ13CUQv2EB2v+L0KIUSGE0Y1jLTjKo2Jmr5F3Fuz/IyHEmBCiE7iOQ3yD4zH/iRCiTQgxCfwO8K3Z6+dNYK/kKL3aB/wxsHv2vP2z+5fivwsheoUQozgEuvP+PgT+5+x3wTSO53gl/qcQolUIMQ6cB1qFEFdmX8sfA4XLnPupEOLR7LH/6LKOxfhs9ntoBscPmBkhxN8JIWzAj1a4n4VYgD+c/a77Fxzi9s9mv7tqgVocgl3hBaEI0zcEIUS9EOLfCiE2Azk4IpTfc/P0ruV2SpKUJknSV5Ik9UuSZMBRBxY+uzsOaF3i1ATgs9l02RiOX9A2HDVkCgoKCgAjQPgKP1hjgA6Xvztmt8m3sUDYTuMQn0vdVpcQwr7g9mLdX/Ly18wF/CYgAY9mywZ+dsH+fpf/d133Yo9ZA0QKIVpxiO8CHFG+r4De2ajvSsJ0uftzfVzuPMYBl/83LvL3Uq/Bcut43vezkJFZQes8d7Hb9+T2FDxEEaZvIEKIBuBvcQjUKcDPZXfUYqescJP/D9AApAohAoH/iONCC46LV/IS53UBJ4UQwS7/fIQQPe49EgUFhTeA+8AMjvT4UvTi+KHrJH52mzssvL71AnGz0UbX23Nel57HNXPuQCH6hRD/TggRgyOL9BdL1W0uss6Fj9nKnIi6CXwD8Jq9pt4E/g2O1HiFu+tzoQ9HqYGTuFXcxkZgmpVfP4V1RBGmbwCSJGVIjsL/zbN/x+FISz3AcYHaJ0lS/Gzh/O+s4i4CAAMwKUlSBvCLLvu+AqIkSfoVydGgECBJ0vbZfT8A/lCSpITZdW2SJGlDd9kqKCi8XGbTwL+Hoy70PUmS/CRJ0s7Wy//x7GH/DPzu7DUkfPb4f1jqNhcwgKNG08lDHOLzN2fv5wDwNo60LjiumV+bXUcKjprVZZltBPr9JfZ94Lw246izFzgyRyvxz8CvSpK0RZIkfxyZqh+5RIZvAv8rcGv27xs46mXvuEQEPeEj4GckR2OYH47n+FWkAvhJSZLUs3Wz7tTKKrxEFGH6ZjCBoxD/oSRJUzgEaQ3wa0KIyzhqcKqAJziEpKf8OvCTs/fzV7O3B4AQYgI4iuPC3o+jS/Xg7O4/A84AlyRJmphd13YUFBQUXBBC/AmOxpvfBYZwZFv+V+Dz2UP+AHiM4zpWjaPxxV1v0r8BsmZLij4XQpiBd4CTOPya/wL4N7OZJoA/Bcw4BO0PcdQ/rkQccHeJfSU4rs2TOK6HvyyEeOrGbf5/wN/jEJ5PcUSV/73L/ps4ggZOYXoHR6TwFqtACHEe+O846lxbcESywUPbwQ3AL+P4PhrDUaf7+XouRuFZJMWKUkFBQUFB4cUwGw39sRBi53qv5XkiSVImjgCH9wqNaQoKHqEIUwUFBQUFBYUVkSTpfeAsoMMRLbYLId5b10UpvHYoqXwFBQWFF8hsLVu5JEmrKZNRUNhI/DyOUopWHHWwv7j84QoKnqP4RSooKCi8WH4ZhxVa4HovREFhLQghTqz3GhRef5SIqYKCgsILYra+8C3gr9d7LQoKCgqvAoowVVBQUHhxfA+Hgbp9heMUFBQUFFg5la90RikoKKwWaeVDXl8kSToNDAohnsx6YS513HeA7wDodLrijIyMl7PAVxQBNHcOYbM7tL5GrSJI50Ogvy8+Xkp1msLyNOqHMdscJgJatZoQb19CfHzxUqnXeWWvB0+ePBkWQmxay22s1JWvCFMFBYXV8qYL0/+CY167FfDBUWP6qRDiXy11ztatW8Xjx49f0gpfXTr6Rrlwv54L9xvoGRqXt2+JCeXYjgxO7MggNiJ4/RaosGFpH9fz4+YaPm2upXdqQt6+MzqeD9KyOZmYhp/Wax1X+GojSdITIcTWNd2GIkwVFBReEG+0MHVlNmL660KI08sdpwhTzxBCUN3ax8X7DVx51Ih+wijvy02J5uTOTI5sSyc4wHcdV6mwEbHZ7dzv6+SjphoutDdjmo2i6rRa3tqSwQdpOZRExiJJymXMExRhqqCgsJFRruizKML0xWO12iit6+T8/XpuPGlhxuwQGmq1ih05CZzYmcm+wmR8vbXrvFKFjYbBbOJsWyM/bqrmyWCvvD0xMJhvpObw9dRsYvwVUw13UISpgoLCRkYRph6iCNPnw/SMmVtlrVx4UM/Dmg5sdsdXma+3lgNFKZzYlUlJVjwatdL/qzCf1rFRPm6u4ZPmWgamJwHHhWxPbAIfpOVyPCEFH43y42YpFGGqoKCwkVGEqYcowvT5M2qY5sqjRi7cq6emrV/eHhrox7EdGZzclUlGQoSSslWYh9Vu505PBz9uquZSRwtmuw2AQC9v3knK4IO0XPI3RSnvmwUowlRBQWEjo1yxPUQRpi+WrgE9Fx80cP5ePV0DY/L2hKgQTuzK5MTOTGI3Ba3fAhU2JGMzRs60NfDjphqqhud+3KQGh/FBWg7vp2QR4ee/jivcOCjCVEFBYSOjCFMPUYTpy0EIQf3TAc7dq+Pyw/lNU3kpMZzYlcmRbWkE+ytNUwrzaRgd4qOmaj5vqWdkZhoAtSRxYHMSH6bncCguGS/1m2s9pQhTBQWFjYwiTD1EEaYvH6vVxqO6Ti4saJrSqFXsytvCyV2Z7MlPwlvxSFVwwWK3cb2rjR831XCtsw2rcPjqhvr48n5KFh+m5ZIRuiY7z1cSRZgqKChsZBRh6iGKMF1fnE1T5+7V8ai2E/vs96O/rzeHSlI5uTOTwvTNqFTKW1thjmHjFJ+11PFRUw1N+mF5e254JB+k5fBuUibBPm9G9F0RpgoKChsZ5dvbQxRhunEYHpvi0sMGLtyrp6FjUN4eEerPiR2ZnNydSXJs+DquUGGjIYSgarifj5pqONNaj8FsAsBLpeZ4YiofpOWwJyYBter1dYNQhKmCgsJGRhGmHqII043J094RLtxv4ML9evqGDfL2tPhNnNyVxfEd6YQHK80vCnPMWK1c6mjmo6Zq7vR0yGIqWhfAN1Jz+CAtm4TAkHVd44tAEaYKCgobGUWYekhmRq4488UlUtIUG5qNiBCCyuZezt+r48qjJiamHRExlSRRkh3PiZ2ZHCxOwc9HGWmpMEfPpIFPmmv5cVM1nRNzI3S3R23mw7RcTm15fcagKsJUQUFhI6MoKw8JC4kXxRn/jpjYEPYdzmL/4SySUiMVkboBMZmt3Kt6yrl7ddytfIrV5mh+8fHScKA4hZO7stiWHf9ap20VPMMuBA/7uvhxcw3nnjZhtFoAxxjU01sy+DA9l+KImFf6864IUwUFhY3Mq3t1XSfiN6eKHXm/yJh+St4WszmU/Ycz2XdIEakblfFJI1dLmzl/r47K5rmRlmFBOo7vyODUrkxS4zcpr52CzITZxNmnjXzUOH8ManJQKB+m5fB+ajaRr6A3qiJMFRQUNjLKt7CHbN26VTx8+Ijqik5uXavj9vV6xvXT8n5ZpB7OIilFEakbkZ7BMc7fr3/GxD8pNoyTuzI5sSOTyLCA9VugwoajWT8yOwa1hiHjq+2NqghTBQWFjYyimjxkYfOTzWqnqryDW9fquHOzYZ5I3Rwfxv7DWew/kkViUsR6LFdhGYQQ1LT2ceF+PZceNjI+OQOAJMHWzHhO7c5S6lEV5mGx27jZ9ZSPmqq56uKNGubjx/spWXwzPZe0kI3tBKEIUwUFhY2MIkw9ZLmufJvVTlVFB7ev1TsiqWNzIjVhS7hckxqf+OaZem90LFYb96vbOX+vnlvlrVisjrnrrvWoJVnxaNRKPaqCg6W8UQs2RfNhWg5vJ2cS6OW9jitcHEWYKigobGQUYeoh7tpF2ax2KsrauXmllrs3G5kwzI3UTEjaxP7DWRw4ks3m+LAXuVyFVWCYmuFqaRPn7tVT2dQjb5frUXdnkRav/LhQcCCEoHKon4+aqjnTWs+ExQyAj1rDyS1pfDMtl+3Rcag2SFmPIkwVFBQ2MhvjSvkKsRofU6vVRnnpU25drePerUYmJmbkfcmpkew/ks3+w1lEx75+nomvOj2DY1y438C5e3Xz6lFT4sI5tSuL4zsy2BTy6jXAKLwYjFYL55828VFTDff7OuXt8QFBfJiWyzfScojWrW/9siJMFeYhhMBqtaJWq5EkSWmMUFhvlDegh6zVYN9isVFe2saNKw6ROj1lkvelZ8aw73AW+w5lEhkd/BxWq/C8EEJQ29bPubt1XHrYiGHK8ePC6Y96alcmB4pT8fXWrvNKFTYKnYYxPmqq4ePmGvqmJgDH+2VvbCLfTMvlSEIy3mrNS1+XIkwVZGw2GxaLBaPRkdJTqVRotVq0Wq0iVBXWC+UN5yHPc/KT2WTl8cNWbl6p5cHdZozTZnlfVs5m9h/JYt/hLMLClQ7xjYTFauNupcMf9U5Fm+yP6uut5dDWVE7tzqI4Iw6VSvl4KYDNbud2TwcfNVVzqaMZi93xfgnx9pUbpjJCX15piCJMFeQoqdVqBcBiscj77LNvUHAIVY1GIwtVlWL6rPDiUb45PeRFjSQ1zVgofdDCzSt1PLjbjGnGcZ2QJMgtSGD/kSz2HswkOET33O9bYfWMTRq58qiJ8/fqqG7pk7dHhgZwclcmp3ZlkRgTuo4rVNhIjM5M83lLPR81VVM/OiRvz98UxYdpubzzEhqmFGH6hmO327FYLNjtdjkaajabn4mMOl9ju92O3W6ns7OTpKQkRagqvGgUYeohL0qYumI0mnl4t5kbl2spfdCCxezoEFepJQqKt7D/cBa792cQGOT7Qteh4Bmd/XrO36vj3N16+kYM8vasLZGcnK1HDQ5QXjOFWauykQH+pdHRMGUwO0p6XkbDlCJM31CEEHLqHpDT9EKIRYWpKzabjfLycoqLi5WIqsKLRhGmHvIyhKkrU5Mz3LvVyM2rdTx52IZtNm2s0ago3p7MgaPZ7Nqbjq+f4rW5UbDbBeWN3Zy7V8e10mamZhwlGmq1it15W3hrTxZ78pPQal4NQ3aFF4vRauFCezM/aqxetGHqg7Qcop5jw5QiTN9AhBBYLBYqKipISUlBp9PN27eSMLXb7ZSVlbF169Z55zn/OXHWqGo0GkWoKqwWRZh6yMsWpq4Yxqe5e7ORG1dqqXzSjt3uuB54e2vYtiuVA0ez2bYzBW8fpQFnozBjsnCrvJVz9+p4UN2BffYaHqjz4fiOdE7tziJrS5TSX6AAOBqmftxcw4+b5jdMHdi8hQ/Tcjkcv/YJU4owfcOw2+2YzWaEEFRVVZGamvpchOlCFhOqarVajqZqNBrlQqfgDsqbxEPWU5i6oh+d5Pa1eq5frqW2qkve7uvnxY49aRw4ks3WHclotUpUbqMwPDbpsJ66W0dL95whe0JUCKd2Z3FqV5YyClUBcDRM3epp56Omai53tMgNU2E+fnwtNYtvpuWRGrI6D2RFmL4huKbunWn7yspKkpOT8ff3n3fcSsJUCMHjx48pKSnx6P6d/6amppicnCQmJmZeRFURqgqLoLwpPGSjCFNXBgfGuXWtnpuXa2ms75W3BwT4sOdgJgeOZpNXmIBamVq0IRBC0Nw5xFd367j0oIFRg2NCmHMU6lu7szi4VbGeUnAwYpzms5Y6ftRUPW/CVFFEDN9Mz+XtpAx0WvdLeRRh+gbgFJvOBienAKyqqmLLli0EBMz9Arbb7YyPj+Pn57ekUFyNMHVFr9czPDxMcnLyohFVRagquKC8CTxkIwpTV/p69Ny4UsuNy7U8bR2Ut4eG+bNvdtpUZk6s8vnfIFhtdh5Ut3PuXh23yloxz45CdVpPvbUni6J0xXpKYW7C1I+aqjjT2sDk7IQpP42W00kZfCs9l6KImBU/24owfc1xTd0v9CGtrq4mISGBwMBAwNGNX11djdVqxWKx4OvrS0hICCEhIc8I1dLS0jUL09TUVHnbcql/Rai+0SgvuodsdGHqSnvbINcvO0RqX49e3h4RFcSBI1kcPJZDUkqk8tnfIBimZrjyqImzd2vnWU9FhQVwclcWb+3OIj5KmQ6mANMWM2efNvGjxipKB+bG5qYEh/Gt9Fy+lpJNmK/foucqwvQ1xdWbdClj/JqaGuLi4ggKCmJ0dJT6+npSU1MJCgoCYHp6Gr1ez9jYGFNTU/j7+xMSEkJwcDA1NTVs27ZtVWtbTJgutn4hxDwbK0WovpEoL7KHvErC1IkQguaGPm5cruXG1TqGB+esjOITwzlwNJuDR3OIjVP8NjcKnf16zt2t4/y9+dZTuSnRnN6TzZGSNAJ0Puu4QoWNQuvYKB81VfNJcw1DRkdZiFal4mhCCt9My2NvbAJql+ZoRZi+hiyVul9IbW0tMTExjIyMMDo6Sl5eHt7e3kv6mE5NTaHX69Hr9YyOjhIRESFHVH183L8AuSNMF3tMTqE6NTXFzMwMkZGRilB9/VFeVA95FYWpK3a7oLaqi+uXa7h9rZ7xsWl5X1pmNAeOZLP/SDabIgLXcZUKTpzWU2fv1nG1tAmjyWFB6KVRs78ohbf2ZLEtOwGNUj/8xmOx27jW2caPGqu53t0mO0DE6AL4RloOH6TlEB8QrAjT14mlvEmXoqqqisnJSTZt2kRKSorbPqYAjx49IiMjQxaqZrOZwMBAWah6eS1d6LwaYerK0NAQExMTJCYmzouoajQa+Z8iVF8blBfRQ151YeqK1WqjrPQpNy7VcPdWozwS1Tlt6uCxHPYezCAwaPGUoMLLZXrGzPUnLZy9U8uThi6c0iAsSMfJnRm8tTeb5Njw9V2kwoagf2qCj5tr+aipmg7DmLz9J9Lz+L/3nVCE6euAO6l7V4aGhqiqqiI5OZnExMR5t+OuMHVN5dvtdiYmJhgdHWVsbAyr1UpQUJCc+tdq57o3n4cwnZycZMuWLfPWvbBG1Wn2r9FoUKlUilB9NVFeNA95nYSpK6YZCw/vNXPjSi0P7zbL06bUahVbdyRz8Gg2OxUj/w1D37CB8/fqOXu3lq6BMXl75pZI3tqdxbEdGQT7K1Om3nTsQvCgr4sfNVZxvr2J/1C0m18s2KEI01edhWNFV/IgbWpqYmpqCh8fH6KioggLm/MaW60wXYjNZsNgMMgRVSGELFQBRkdHSUtL8/CROlhMmC5koVCVJGleRFURqq8MyovkIa+rMHVlasrE3RsN3LhcS9njNuy2WSN/Hy079qRy8GgOW3ck4+WlWeeVKgghqG7p4+zdWi4/bGLS6BhtqVGr2FuQxFt7stmVm4hGmTL1xjNumkGSJIK8fRRh+qqyMHW/0mSl6elpqquriYiIIDExkaamJsLCwggPn0utuCtMPe3Kt1qtjI+Po9frGRkZwWKxEB0dTUhICEFBQag9mBThjjBdiKtQNZvNGAwGoqOjFaG68VFeFA95E4SpK/rRSW5dref65Rrqqrvl7QEBPuw5lMnhY7nkFMQrdkYbgBmzhZtlrZy9U8uj2k65xjAkwJcTuzJ5e082KXGb1nmVCuuNUmP6iiKEYHp6mra2NlJTU1cUVf39/bS2tpKdnU1wcDAATU1NhISEsGnT3IXgRQlTV8bGxujv7ycsLIyxsTHGxsZQq9UEBwfLQnU5kT04OMjU1JRHwtSVyclJOjs7ycjIUCKqGx/lRfCQN02YutLfN8bNK7Vcv1RDW8ucR2p4RCAHjmRz6Fg2yWnKeM2NwJB+kvP36zl7p5anvaPy9vSECE7vyeLY9gxCApXa4TcRRZi+gji9Sc1mM5WVlSum1BsaGrBYLGRnZ8+r9WxubiYoKIiIiAh5mxBCjsAux1qF6eDg4LxUvtlsZmxsDL1ej8FgQKPRyI1UAQEB84Tq4OAg09PT82pjPWFiYoLu7m4yMzPlbc6OfydOoeocoaoI1XVDedI95E0Wpq48bR3k+qUarl+uZaBvTN6+OT6MQ8dyOHhMsZ/aCAghqH86wFd3arn4oIGJaUeqX61WsSd/C6f3ZLM7b4uS6n+DUITpK8TCBiebzcaTJ0/Yvn37osdPTk5SXV1NbGwscXFxzwirlpYWAgICiIyMnHcf6yFMF2IymeT61ImJCby9vWWhOj09jdFoXLUwNRgM9PT0zBOmC1lMqDobqTQajVsNZgrPBeVJ9hBFmM5HCEF9TQ/XLlZz81od4/o5+6n0rBgOHc/lwJEsQkL9l7kVhZeByWzldkUbZ+/Ucr+6/ZlU/+k92aQqqf7XHkWYviIs5k1qt9t5+PAhO3fufObYnp4eOjs7yc3NnTdy1JXW1lZ0Oh1RUVHzzt0IwnQhRqNRNvvX6/Wo1Wo2b95McHAwOp3OI5FoMBjo7e0lIyPD7XOcQtX5Xh8dHSU6OlqOqCpC9YWhPKkeogjTpbFZ7ZQ/fsq1i9Xz7KdUaomirUkcPJbN7v0Z+Om813mlCsNjU1y4X8+Xt2t52jsib89IiOCtPdkc35FBcIDS1f86ogjTVwBnlHThWFEhBPfv32fXrl3zjq2rq0OSJDIzM9Folu5KbWtrw9fXl+joaHnbRhWmrvT392MwGNDpdOj1eqamptDpdHJE1dfXd1mROD4+Tn9/P+np6au6fyEEpaWlFBcXy6+JSqV6JvWv8FxQhKmHKMLUPWZmLNy/3ci1izU8ftCKzebIkHh5adixJ5XDJ3LZuiMFrVZJIa8nQgjqnvbz1Z06Lrmk+jVqFXsKknh7TzY787YoBv6vEc9DmCp+HC+Ihan7hWJnofgyGAzU1NSQmJhITEzMirfvNNRf7H5fZPRvrbctSRLe3t7ExsYSGxs7bypVS0sLMzMz8vjUpaZSrWUNzh8HTicB53PorPsFFKGqsG7Y7UoswB18fLQcPJrDwaM5GManuX29gWsXq6mu6OTWtXpuXasnINCXfYcyOXwil6zcOKWzfx2QJInspGiyk6L5lW/t51Z5K2fv1vKguoMbT1q48aSF0EA/Tu3KVAz8FWSUiOkLwF1v0nv37rFz5046Ozvp7e0lLy8PnU7n1n20t7ej1WqJjY2Vt72Mrvy1RiwHBgaYmZkhISFh0f1CCCYnJ+UaVZPJREBAgCxUjUbjmiK2sLyPq/Pz4FqjqgjVVaMoAQ+JCo0X7xR/l93Hc9l9Mo/krFilzMQDBvvHuX65hqsXqmlvG5K3R0YFceBoNoeO57IlOWKZW1B4GQzpJzl3r46vbtfS0a+Xt2dtieT0nmyObk8nSDHwfyVRUvkbDE+9Se/evYufnx/e3t5kZGR4JHg6OjrkWk0nMzMztLa2yhHHxaKNsL7CtL+/H5PJtKQwXYhzKpVTqM7MzKBWq0lMTCQkJGSeU4G7rDRgwJXFplJZrVY0Gg06nU4RqsujKCoPCdXFiO0R35L/jooLZc/JfPaczCMtP14RqR7Q1jLAtYvVXLtUy/CgQd6elBrJ4eO5HDyaTXhE4DquUEEIQU1rH1/dqeXSw0amjI6slVajZn9RMm/vyWZbTgJq5Rr7yqAI0w2Es77TZrO51Uyj1+spLS0lPz9/Xme9u3R2diJJEnFxcYCjoae+vp7NmzdjNpvR6/WYzWYCAwMJDQ0lODgYLy/HuL/1FqZms5n4+PhVnT88PExfXx86nY6xsTHsdvu88anL1eU6WcvjF0LQ29uLzWaTo9UqleqZrn8FQBGmHlNcvFX89Z/9E3cuVHH/UjX6oQl5X0RMCLtO5LLnZD6ZRQnKDyI3sdsFNRWdXL1Uze1r9UxOzAAgSVBQvIVDx3PYcyADnf/iP+QVXg5OA/+vbtfyqK4DpzSJCPHn1O4sTu/JJj4qZH0XqbAiijDdIDi9SRc2OC2GEIK2tjaGh4exWCzs2bNnVffZ1dWFEIK4uDja2toYGRkhLy8PlUolr8Nut2MwGBgdHZ0n4oaHhykpKXFLxC1kvYXp6Ogoo6OjpKSkAA6vV6fRv17vSAk5RWpwcPCiU6nWIkwBenp6AOQaWdeIqhBiXtr/DReqb+wDXy2uzU82m536J+3cPlfB3YvVjPSPy8eFRgSy65gj3Z+7LQm14hPpFmazldL7LVy9WM3DO81YLDYAtF5qduxO4/CJXEp2Kk1T603/iIGzdx2p/p6hufd9fmoMp/dkc2RbOjpfr3VcocJSKMJ0nVnY4LSSADGZTFRXVxMYGEhKSgoPHjyY15XvCd3d3bJfaEBAAKmpqahUqnkCeSHO0aJ1dXX4+vqiUqncntjkZL2F6cjICGNjYyQnJy+632q1yiJ1qalUaxWmXV1daDSaeY4IThZL/avVajmi6rSnekN4Yx7o82Kprny73U5jRSd3zldx53wlgz1zdXlBYf7sOpbD3lMF5O1IVkSqm0wYjNy54WiaqizrkLcHBPqy/0gWh4/nkpW7+U36vG44hBCUN/Xw1e1arpY2YTQ5yuR8vDQcLknj7X05FKYpddgbCUWYriPOJh13DduHh4dpbGwkPT1dnm9/7969VQvTpqYmenp6yMnJmTeWdDlh6sRZY+k6sWl8fBwvLy9CQkIIDQ3F399/0dtYqzDt6+vDYrGsKZU/Pj6+pDBdyGJTqaampmSP2NWkQzs7O/Hy8prnIbsUb7hQfW0f2IvCHbsoIQQtNd3cvVDFnXNV9LTPNfkEhujYdSyHPacKyN+ZgkaJ/LnF4MA4Ny7XcvVCNU9b58ahRseGcPh4DodP5BIbF7aOK1SYnjFztbSJL2/XUtHUI2/fHBHEW3uyOb07m8iwxX2/FV4eijBdJ5wNTk5huZywsNvttLS0YDAYyM3Nxdt7zvx5NcJUCMHTp0/p6ekhMjLyme50T4TpQmZmZtDr9YyOjjI5OYmfn5/cDe/n54ckSRgMBvr6+tYkTK1Wq1wb6ynDw8MYDAaSkpJWdf7MzAxlZWWEhITMm0oVHBxMQECAWyKxvb0dPz+/eeNg3cUpUqurq0lLS8PLy+t1FqqvzQN5WXjqYyqE4Gl9L7fPVXL7XCU9T+dEqn+QLzuP5bLnZB6Fu9PQeinugO7Q1jLAlfPVXL9Uw8jwXI1vemYMh044mqaCQ9xzT1F4MXQN6PnqTh1n79QyqJ8EHDXD27ISeHtvNvuLUvBW3u/rgiJMXzILU/cLDfIXYjQaqaqqIjw8nKSkpGcEh6fC1Gw2U11djb+/PwEBAczMzDwj0NYiTF0RQjA9PS13w09PTxMQEICPjw9Go5Hs7Gy31+3KWoXp0NAQk5OTbNmyZVXn2+12ysrK2LrV8bkxGo1yRHViYgJfX19ZjC81lerp06f4+/vPi1R7SllZGbm5uWg0GnkylfO+XiOh+soufL1Yi8G+EIKOpn7unHeI1M7mAXmff6AvO4/lsPetAgp2pSoi1Q1sNjtVZR1cuVDF3RsNTLtMmirZnsLhk7ns3JOGt4/nziAKzweb3c6jmg6+vFPLzbJWLFZHzXCAnzfHd2Tw9r4cMhIiXuVr6CuHIkxfIot5ky4nLAcGBmhpaSErK4uQkMU7CT0Rpnq9nrq6OlJTU4mIiKC/v5+pqalnUtrPS5guRAjBxMQEfX19DA8Po9Vq5W54T2yb1luY2mw2KioqKC4ufmafEEIen7rcVKrW1laCg4MJC1t9au/JkycUFBQ805zljKi6ClVnt/8rKFRfmYVuFJ7n5KfOlgFun6vgzrlK2hv75e1OkbrnVL4SSXWTmRkLD+40cfV8NaUPW7DbHF+Nfjpv9h50mPjnFSYoJv7ryPikkUsPGvnyTi0N7XM/ylLiwnlnbw4ndmYqY1BfAoowfQks9CZ1rSddTFja7XYaGhqYmZkhJydHtmhaDKfB/kpd/O3t7QwODpKXl4evr+ODNTAwwMTEhNyd7sQdYbqW5h/nrPq0tDTGx8dlESeEkJuMluqGB2SrpdUK08HBQaanp0lMTFzV+VarlaqqKoqKilY81jmVyhlRnZ6ext/fH4vFQlRUlFs1pktRWlrK1q1bVxSZSwlVZ0RVpVJtZKG6YRf2spAkyQe4BXjjmLT3sRDiPy91/IsaSeoUqbfPVtLRNCdSdQE+7DyWy77TBRTuTlNqUt1APzrFjSu1XL1QRVN9n7w9PCKQw8dzOHIyj4Qtq8+mKKydps4hvrxdw4X79YxPOuzBNGoV+wqTeXtvNjtyExVv1BeEIkxfMCt13S8UplNTU1RVVRETE0N8/Mpm2A8ePKCkpGRJEedM3et0OtLS0uY16gwODjI+Pk5qauoz57wMYZqRkTFv+2Ld8M5IY2BgoLz23t5e7Hb7vMEAnrDS5KiVsFgs1NTUUFhY6PG5zoa3pqYmWSy6TqVyrR9eidW+Bq7NVC0tLaSmps5L/W8wobphFrJeSI4XQyeEmJQkSQvcAX5ZCPFgseNflDB1pbNlgDuzNantjXPCKiDYj13Hctn7ltI45S6d7cNcu1jN1Ys1DPSNydtT0qM4ejKPA0dzCAlV6lHXC7PFyu2KNr66Xcv96nbss3rH6Y369t5s4iIVb9TnyfMQpkoOZwk88SYFh+Bqb28nOzuboKAgt+5jqXn3AGNjY9TW1pKSkrKoAf9y57rDSuLVUzQaDeHh4bLjgNPkv7+/n6amJrnJyGq1rmpak5O1PGbn+at93JIkERAQgL+/P1FRUQQEBMhTqerq6rBarQQGBspR4+Wi5avF9b1oMBiQJAmbzYbVapX3u6b+N5hQfeMQjjfs5Oyf2tl/6/qDPz4lkp/8pWP85C8do6t1gNtnK7l1toKOpn4ufvSQix89VESqm8QnhvNvf/4g/+bfHaC2qosrF6q4dbWOlsZ+Whr7+cv/cZmt25M5fDyXnfvS8VHqUV8qXlqHrdThkjSG9JOcvVvHl7dr6BoY42+/esTffvWIgrRY3tmbw6GSVPx8FG/UjYASMV2Aa+p+JUF67949SkpKaGhowG63k52d7ZFpvXPyk6uAcU3d5+bm4ufnt+i5w8PDjIyMPNMd727E1J008mIsFTFdCWftZm9vLzMzM3La37V20x3W6oNqMploaGggPz9/VecD8oStgID51iR2u10ubxgbG8Nms8lG/8HBwfME+Vq9VJe6jYX2VOssVBVFDEiSpAaeACnAnwshfmvB/u8A3wGIj48v7ujoePZGXgIdTf3cPlfBra8q6HKxTAoM0bH7RC773y4kZ1syarWSAl0Os8nKgztNXLlQRen9Vmw2OwB+fl7sPZTF0ZN55BTEK/Wo64SrN+qVR43MmB0/6v18tBzdls7b+3LITY5WftCvEiWV/5wRQmA2m+c1OC3HnTt3UKlUxMfHExvrucnv48eP51lIWSwWqqur8fX1JT09fVmPzZGREYaHh1clTB8/fkxRUdGqPDwNBgM9PT1kZmZ6fC44pibZ7XZCQkLk+tSZmRm3U+JrbZ6amZmhqamJvLy8VZ0PUFdXR3x8PP7+/sseZ7PZ5glV1zrc1tZWjxvQFuKOuHWWHDhxClXnZKoXLFSVK7sLkiQFA58B/14IUbPYMS8jlb8Szu7+2+cquX12vkgN2RTAnpP57HurgKyticpY1BUY009x80odVy5U0VjXK2+PjAri0IlcjpzIJS4hfB1X+GYzZTRz+VEjX96uobplrqxlS0wob+/N4dTuLEIDFw8OKSyOIkyfI56OFe3q6qKxsZFt27a5nbpfyJMnT8jOzsbHx2fF1P1CRkdHGRgYeEYgujoHLMVahOnExATd3d1rEqaAPGceHM/95OQko6Oj6PV6rFar3PG/MNK41uYpo9FIS0sLubm5qzofoKamhqSkpCWj2UvhWofb09MzT4wHBgYuWWu8GEIIHj9+7HHUdaFQHRkZISoq6kUJVUWYLkCSpP8MTAkh/uti+zeCMHVFCEF7Qx83v6rg5lfl9HeOyPvCooLYczKPfW8VkFmUqESYVqCrY5grF6q5eqGaQZfxsulZMRw5kceBo9kEBSsiaL1o7x3lzO0azt2tY9QwDYBarWJP/hbe2ZvDzrwtaJRswYoowvQ54OlYUYvFQm1tLVqtlqmpKQoKClZdS1heXk5aWhpDQ0P09/eTl5fntthx1m8uFIiTk5Oo1eplRc5SVkXu8CKE6UIWizQ6Bdz0tOOCsdrmqenpadra2sjJyVnV+QDV1dWkpKTIDgmrobS0lIKCgnmTtzQajRxRdW0YW4yFfqyr5dGjRxQXF8upf5VKJTdSuTvVbBneeKUiSdImwCKEGJMkyRe4BPzfQoivFjt+owlTV5wTp259VcGtsxXzxqJGxIaw73QB+98uJDlLGRG5HHa7oKq8g6vnq7h9vV72R9VoVGzblcqRk3ls352KVqnrXResVht3q55y5lYN96qeYrM7ro3hwTre2p3F23tziI9SGqaWQml+WiOepu6dUc3k5GSioqJ48uTJvOjTau6/rq4Of39/tm3b5lEEc2HzkzOK29nZCYCXlxehoaGEhIQsOV50o6JWqwkNDSU0NBRwRBr1ej3Dw8MMDw+jUqmwWCyEhoZ6PFb0eTR92e32NaUwna+bVqtl06ZNslG/yWRibGxMbhhzjogNCQl5ZirVWtfgRJKkeT9QnJ8Jk8kkfya0Wi0NDQ3k5uauqXHtDSUa+OFsnakK+GgpUbrRkSSJ1Nw4UnPj+NnfPk1TZadDpJ6rZLBHz8d/eZ2P//I6sVs2se+tAvadLiAxPXq9l73hUKkkCooTKShO5Lu/fpL7txu5cr6aJw9buXerkXu3GgkM8uXAkWyOnMwjPSvmlbp+v+poNGr2F6WwvyiF4bEpzt2r48ytGjr79fzwbCk/PFtKYXos7+zL5dDWVHy9lWvi8+aNjJgKITCZTJjNZrRarVup+8UaksrLy0lPT/c4pQuOmfOPHz8mKSlpVWbx4+PjdHd3k52djdVqpba2FrVaTUpKCpIkYTKZ5NT45OQk/v7+hISEEBoaSl1dHXl5eR41ajlZa8S0u7sbSZKWjZguR09PD1arFW9vb3lak7e3tyzCl5rW5GRycpLOzk6ysrJWdf8AFRUVZGVlrTpSbrPZKC8vXzHa6RwR63wNfXx8ZKGq0WhobGxcUxMXLF+n6rw22O12jh8/zvXr1z19ryvfph6ykSOmS2G326l70s6tL8u5fa6SsZFJeV98aiT7Thdw4O0iYhVvz2UZGZ7g+qUaLp+r4qlLXe/m+DCOnMzlyIk8IqJWVzamsDaEEFQ293LmVs28himdjxfHdqTzzr4csrZEKT8gUFL5q8KZuu/u7l50pOdClvMSraioIDU1FZ3OfZ86IQSdnZ309fXh7e1NcnIygYGBHj8Og8FAZ2cniYmJVFdXyw1Yi9WYOo3inUJ1bGyMiIgIwsLCPJraBM9HmKpUKmJiYp7b+UajUX5srtOaQkNDn0m3r3X94BgnulphD56Z/DtxnUo1NjbGxMQEVquVxMREQkJC8PPzW9VF0d0pYHv27KGsrMzT8g/lKu0hr6IwdcVmtVH1oJVbX5Vz92I1E2PT8r7UvDj2ny5k3+kCNkUHr98iXwFam/q5fL6KaxdrGNNPAY5Z8AXFWzh6Ko/dBzLw9VWsjdaDSaOJKw8bOXO7lprWuYaplM3hvLMvhxO7Mgn2f3MnTCnC1ENcx4oODQ0tOjnJlZGRERoaGkhLS1t0LnpVVRVbtmx5xjZoKZzm7t7e3mRkZFBXV0dcXNyqmqcmJiaoq6vDZrORm5srr8Gd5qeysjLi4+MxGAzy1CankAsKClo2RbzewrSrqwuNRkN09OIpQqcI1+v1jI6OYjKZ5Caj0NBQjEYj/f39z7gZeMJaanTB8WOnrq6OgoKCVa9hcnKS1tZWwsLC5k2lcrXgWgkhBKWlpW4L04qKCk/FryJMPeRVF6auWC02yu82cfPLcu5dqsY4aZL35ZQkse90AXtO5hOyyb3r55uIzWrn8cNWrpyv4t7tRixmxyx4H18tew9mcuRkHvlFiYr11DrR1jPCl7drOHu3jrEJIwBajZr9Rcm8sy+HbVlv3phapcbUTRaOFVWpVKhUqiXrQ51TdcbGxiguLsbHx2fR45a7jYWMj49TW1tLUlKSPMrSk/NdsdvttLW1YTQa2bNnj8eRO0mSCAwMlM3wLRYLY2NjDA0N0dLSglarlYXcYvWpazW5f5FIkoS/vz/+/v7ExcVht9tlE/za2lpMJhMqlYqhoSE5Je4pa63vfB71oXa7HS8vLzZv3szmzZvlqVR6vZ6mpqZ5gnwpCy673e6WuN7Ir7fCxkWjVVNyIJOSA5mYZsw8ulbPra8qeHStlprSNmpK2/jB//4Z+TtT2f9OIbtP5OEf+OZGmhZDrVGxfXcq23enMmEwcvNqHVfOVVFX083lc1VcPlfFpshAjpzM49ipPGLjwtZ7yW8USbFh/PK39vO/fGMPt8pbOXOrhgc17Vx51MSVR01EhQXw9t4c3t6bTVSY55nRN5XXXpgKIbBYLNhstnm1pGq1GpvN9szxMzMzVFVVERoauqIJvTvC0tmU1NPTQ35+/ry0/2qmNxmNRqqqqmTT9tUIq4WPaWETjrO2sbOzk8nJSXQ6nVzDudYampc9uUmlUhEUFERQUBCJiYmMjIzQ29uLwWCgo6MDSZLkTvigoCC3o6BreR6elzB1XatzKlVAQADx8fHzLLjq6+uxWQ1Eho2j9dtGSEgIXl5e2Gw2t9exxu58hTccbx8v9p7KZ++pfKYnZ3hwuYabX1VQdruR8rtNlN9t4vv/28eUHMjkwNtFbDuchY+Sqp5HQKAvp98v5vT7xfR0jXDlfDVXLlQz0DfGP//tHf75b++QnRfH0VN57DuUhX/A4gEVheePVqOWJ0wNjEzw1Z1aztyuoW/YwF99fp+//uI+27MTeHd/LvsKk9FqFMeF5Xithely3qSLicrBwUGam5vJzMyUO8KXYyVharVaqampQavVsm3btmdEj6cR06GhIZqamuTGm+bmZrfPdWUlQezj40N0dDTR0dHzUuNNTU0YjUaEEAwODnpcn+p6/6tlrV31kiTh6+tLcnIyMBctHh4eprW1FY1GMy9a/CIMxJ+XMF3uNlQqFYGBgQ7bKesjvM1/zKT1CJ0jOfT09GCz2dDpdFitViwWy7Kv40qlIQrPj5H+Mf7hj79kx4l8knPjXsvn3c/fh0Pvb+XQ+1uZGJvi7oVqbnxZTtX9Fu5fquH+pRp8dd7sOJLN/rcLKdqbjtbrtf6q8pjYuDB++jsH+Nff3k9NRSeXz1Vy81odtVVd1FZ18Rd/cpGd+9I4eiqf4pIk1BrFf/NlERkWwM+9u4OfeXs7jxu6OHOzmutPWnhQ08GDmg6CA3w5uSuTd/blkByrDFdYjNeyxtQdb9KJiQna29vJzc3FbrfT1NTE1NQUubm5bndbNzU1ERISsmj9qcFgoKamhi1btixZD7nc+QsfT0tLC+Pj4+Tl5eHl5cX09DSNjY0UFhbOO9adGtPKykoyMjKWnbC0FAaDgba2NgIDA+fVp7obcVypRnQl2tvb8fX1dWsIwWKMjIwwNjYmC9OFmEwmuRN+YmJiXie8s+N/reNEVzvW1RVnjfSyzXvCgMr039CKLjT2Sszaf4/F698CDmeAgYEB+fVwnUoVFBQ0LxI/MTHBBx98wN27d91aW2NjI9/85jeprKysnN2UBPwe8HfAj4BEoB34UAihB5Ak6XeAnwNswC8JIS66/2y8PoR4R4rtAe8CELE5lJ2nCth1qpCcHSmoX/Moy8jAOLe+quDml+U0VnbK2wOC/dh7Kp8D7xSRXbJFmTa1BMZpM3du1HP5XBUVT9rl7aHh/hw5kcuxt/KJT1ScEdaDsUkjF+/X88XNGlq6h+XtuSnRvLsvlyPb0vDzeT0yBErz0yK46006NTVFc3MzaWlpVFVVERkZSWKiZ9NLmpubCQoKIiIiYt79O1P3eXl5y3bsL3b+QsxmM1VVVQQFBclWUOBI6dfX1z/T2e2OMK2qqiItLW3J2tnlWGi35JxmNDo6KpvEOz1IF6tPfR7C1M/Pb9nnbDmGh4cxGAwrujHA/E54Z8e/v78/4+PjFBYWrtpgf2xsjMHBQdLS0lZ1PsDAwAAzMzMkJCQsul+yXkdl+kMkMYhaXYwdmFGfRO31oXyMq0B2vo7Of84SB41Gg81m4zd+4ze4dOmSp8uUZv07e4DtwHeBUSHEH0mS9NtAiBDityRJygL+GdgGxABXgDQhxLO1Nq85mWnZ4hdO/zYPLlSiHzTI2wNDdWw/ns+ukwUUHsjEx8/zH5WvEn2dI9z8spwbZ8roaOqXt2+KCWb/6UIOvFtEUqbi77kUA31jXLlQzZXzVfR0jcrb07NiOHoqnwNHsgkMUup5XzZCCOqfDvDFrRouPWhgasYxXMHPR8ux7Rm8u//Vt51ShOkCnFFSd8aKGo1GysvLEUKQk5Ozqs741tZWdDqd3MzkTN1rNBoyMzNXjB4uPH8her2eurq6RV0BZmZmqK2tpbi4eN52m80mR4qX4nkK04W4+qdOTEw8Y93U2dmJVqtdtTB9+vQp/v7+K0aZl2JoaIjJyclVecc6G4yqqqrw9/fHZDIRGBgoR1TdjbSPjo4yOjq6rCPESiw1mlXYR1CZ/xS19YzjbykCEwlY7XfR+PwhGu3X5WOdQwtSU1OfuX1nicP58+f53ve+x9TUFL/wC7/AoUOH2L59u7slHJIkSceA/yyE2C1JUiNwQAjRJ0lSNHBDCJE+Gy1FCPFfZk+6CPy+EOL+ap6bVxlnV77dbqexrJ17Z8u5d7acnrY5X0tvXy1FB7LYeaqQHcfzCAz1X8cVv3ie1vdy7Ysn3PqygsHeuWlTcckR7H+7kIPvFhGjRAIXRQhBXXU3l85WcvNKrTxlSqtVs2NPGkdP5VGyI0VJ9a8DRpOFq4+a+OJWNZXNvfL25M1hvLsvl5O7Mgl6BW2nFGE6i6djRW02GzU1NYyMjLB3795VT7N5+vQp3t7exMTEyKn7xMREt62Q2tra8PX1fUakCSHo6OhgYGCAvLy8RSNzJpOJ6urqZ0zarVar3Oi1FGsZqemJQb0QgunpaVmIOTviAwMD2bJly6qe97a2NgICAlYtTAcHB5meniYxMXFV58OcKb3dbpctt/R6PTabTU6HL9eYNjw8zPj4+JLlBO6wmO2Wxfw5ZtN/IVAVBGIQi6oAvaUcnSYZ7HVoff4EtfaUfPxKZQ1OKisr+d73vscHH3zA9evX+e3f/m13nz9JkqT/DygTQnxfkqQxIUSwy069ECJEkqTvAw+EEP8wu/1vgPNCiI/df0ZeDxazixJC0NnUx/3zldw/V05jWbu8T6VWkbcrjV2nC9l1qoDw6Nd3VKLdbqe+rIMbX5Rx+3wl4y5G/un58Rx8t4h9pwsV+6klmJmxcO9mA5fOVVFe2obzqz80zJ/Ds6n+BGUIwrqwmO2Ul0bNga0pvLc/l6L0uFfGdkoRpsz3JnVHlE5OTlJdXU10dDT9/f3s2LFj1ffd0dEh1zt1d3eTm5uLv7/70Yv29na8vLzmiQur1Up1dbXsdbpUPZXZbKaysvKZWseXIUw7OjrIzs72+Fy73U5zczNms1l+zYKDg2X/VHc64p31rU6rK09ZKQXuDkvVmNpsNsbGxmQTfEmS5tXfOl/LtURtnXR2duLl5UVUVBR2ew9m43/GZrsNgL+6gEkxzYytEQCdJgPsTWh9/wK15pB8G+6K9Hv37vHZZ5/xgx/8wKM1SpLkDfQC2UKIgWWE6Z8D9xcI03NCiE88usPXAHd8TIf79Dw4X8m98xVU3m7AZp1roEwvSmTXW4XsOlVIXOrimZjXAZvVRsXdZq6fKePexWqMUw6PVJVaReHuVA68U8TOY7nolM70RRkaNHDlfBWXz1XS3Tk/1X/sLUeqP0Cx7nrpWKw2bpe38sWs7ZRTnm2OCOKdfbmc3pNFePDGzpC80T6mi3mTrnR8T08PnZ2d5ObmotPp6OvrW/Ycd9bQ3d1NQEDAol33KyFJ0ryu/ImJCaqrq5dtmHI9d7XWS2s9d7WoVCp8fX0JCgoiKipKrmtcrCN+4Wx4J2vtyl/r+cuhVqsJCwsjLMzhJWixWNDr9bLbg1arJTQ09Ll0udtsNiQVTJv+CWH6/wHTgBabqpARWx1CTMwdLCyz/+P7zG2485511taugpM4oqUDs38PSJIU7ZLKd+anuwHXmoTNOAStwiKER4dw+mcPcPpnDzAxNsWjS9XcPVvO46s1NJa101jWzv/8Pz8jPj2aXW8Vsud00WvX4a/WqCnen0Hx/gxm/sDMw6u1XPvsCU9uNfDkViNPbjXi5f1jth3K5tB7xWw9kKF09ruwKSKQn/jpPXzr3+ymvqaHi2cruHm5lsa6XhrrevnB9y6xc28ax04XULwtCbVaSfW/DLQaNYdK0jhUkkb/iIEzt2o4c7uG7sFx/uLjO/zlp3fZnZ/Eu/ty2Jm3Bc1r+rq8kp/UpbxJl8J1lvy2bdvkLuS1eGpOTEzQ0dFBcHAwOTk5q7oNV4HY09NDR0cHeXl5bomA5cTlixRfa8V1zRqNhvDwcDn66eyI7+7uZmJiAj8/P9k/1dfX97k8puchbN1Fq9USEREhN2o56297e3sxGo1MTEzIEVVPR4oKqQ28/pwp0zB+TIMqFYPdjMn6mIBnbseCVVUM6HCVoZ4IU0/G7rrwEziampycAX4a+KPZ/37hsv2fJEn6ExzNT6nAo9Xc4ZtGQLCOwx/u4PCHO5iZMvHkRh33zpbz8GIVnY19dDb28S9/co7oxHB2vVXEnreLSC9KfK062318vdh/upD9pwsx6Ke4c76S65+XUVPaxp3zldw5X4l/kC/73irg4HvFZBW/Xo9/LUiSRFbuZrJyN/OLv3J8Xqr/1rV6bl2rJ3xTgMPA/618NscrBv4vi6iwQL7z/i5+7t0dPKzp4Iub1dyqaONWeSu3yluJCPHn9J5s3tmXQ8wmz3tkNjKvXCrfOU50dHSULVu2rPhl7py4tFjt571799i1a5dH9++MvHZ1dREZGYkkSatOyXZ3d2OxWJiamsJms5Gdne22Yb7NZqO0tHReKYLJZKKqqgqbzSZ3xi8WeXQ+H6sRG1NTU7S3t68qlQ+O8gcfH58V7Z5c61P1ej0zMzMEBARgNpuJjo5edVd+b28vdrudzZs3r+p8u91OWVnZM7W9ntDT04MQgtDQUPnxOUeKOoX4Uo1pQpiZNP05kzN/jSRZ0UgJaFQRjFnLcHxc1QRIZvl4SYrBJMUwbq0mMeBjfDRzo1hdywGW4x//8R+ZmJjgN37jN9x+jNPT0+h0ulEgSQgx7liLFAZ8BMQDncAHQojR2X3/CfhZwAr8ihDivNt39hrxvEaSWi1Wqu42cfercu6dK5/X4R8eHczOUwXsfquI3F2pr60N1VCvnhtnyrn2+RPaG+eyYxGxIRx8t4gD7xSRmL66JszXncGBca6er+bi2Up6u+dS/Vm5mzn2Vj77D2eh81fKJF42I+NTnL1bxxc3q+kaGANAkmBbdgLv7stlX2ESXtr1jTe+UTWmrg1O4+Pj9Pb2LiuOnA1E/f39cup+IZ4KU6vVSl1dneNXZlYWQ0NDTE1NrbqJ5enTp3R2drJlyxbi4jxLtdntdh4+fMjOnTuBuQ7+lJQUfHx8GB8fZ3R0VO6Md408vgrCdCHO0aLNzc2yubxro5G7ZRQ9PT0AxMbGerx2cPwgqKioeMYNwRMWs8xyHSk6OjqK2WwmKChIfnxeXl4YLY+ZNP0dNtvF2XOyMUk+IMrl25HQ4S8ZAA02VQm95ib81GrsYpykwLN4qePlY911OPjLv/xLdDodv/iLv+jpQ92YYfsNzPMSpq7YbHbqH7Vy56sy7n5VxlDPXGd7YKiOnScL2ftOEQX7MtCs85fai+JpQy/Xvyjj+hdlDPeNydu3ZERz6L1iDrxbRHhU8Lqtb6MihKCmsotLX1Vw81odM0ZHWZC3t4bdBzI4frqA/KLEV6Yx53VBCEFZQzdf3KrmWmkzZqvDWS84wJe3dmfx3v5cEqJXHhL0InhjhOlCb9LJyUmePn1KXl7eosebzWZqamrw9fUlPT19ybSNJ8LUWf+ZkJAgi5rBwUHGx8cXtdtZicHBQerq6oiMjCQzM9Pj84UQ3L9/n507d9LZ2UlfXx/5+flotVqsVqv8mJ2Tm5yd8c7nMTY2lujoaI9Hmq5VmK7VIL+5uZnw8HACAgLmNRqp1eplo8ROurq6UKvVbjsnLMRqtVJVVfWMf6wnuCPOnR3/o6OjjBl68A75Z7wCbuEjZeGl6mZsJhKztg0/dTJqUS+fp5ZC0KlCGLapmbQ5RLhOJSEwkRx0Fa1qLtLc0tIiP2fL8ad/+qckJSXxr/7Vv/L0oSrfVh7yIoSpK0IImis6uHu2nDtfltHTOiDv8w/2Y+fJAva8XUTh/ky8vFfnVrKRsdvt1JY+5foXT7h9rpLJcUcHtCRJ5O9K4dB7xew6nqc0TS2CcdrM7ev1XD5XSWVZh7w9MjqYY2/lcfRUPlHRweu3wDeU8UkjFxYx7y9Mj+W9/bkc3JqKj9fL+yy/EcLU2eDk6k06PT1NU1MTBQUFzxzvnA2empq6YrrXXWHa3d0tN00FBMxZkQwPDzMyMkJ6evoyZ8/H2Zk+OTlJZGQkJpNp1RHXu3fv4u/vL/umqlQqOaq8lBi32+1UVlbi4+PD1NQUkiTNE3Qr1V49D2G6FoP8pqYmIiIiCA4OnrfdWZ/qjBL7+fnN8091CtW1+qiazWbq6uoWfe+5iyderBOmKwwZ/09sYhiEhDAXY1I3gHoGAB+S0aocwlRCh13ait76GNePrp/KAghSg+6iVgXK2xsbG4mKilrRw/cP/uAP2LFjB++//76nD1URph7yooWpK0IIOhr7uP3FY26feUKnS7rbL8CH7cfy2P12EVsPZb+Whv5mk5XHN+u59tljHl6rw2p2RJ28vDXsOJLDwfeK2bo/A4329Sx1WAt9PXouna3k8vkqBvvH5e0FxYkcO53PngOZ+Pi8fj9sNjJCCGrb+vn8ZjWXHzZiNDmi2wF+3pzclcm7+3NJjXvxdmCvdVf+Qm9SV8GkUqmw2WzPHN/W1sbw8DBFRUWrnsrjijN1D8hNU654Out+ZmaGqqoqwsLCKCoqYmhoiJmZmVWtbWpqiqmpKRISEjyql1SpVPj4+LB582a5ZlOv19Pb24vBYJgn6Pz8/Fa1thfJUs1L3t7eREVFERUVJden6vV6Wlpa5PrU0NBQLBaL20b4S93/i55zD2C29dE59UdoGcMmhtGo4piyB6H11YJt7j1jtdjReoNpJpURyYJaPYhWmhOlEl5ISKAqYrGufHceyxq68hU2MJIkkZgRQ2LGO/zr33qHzqY+7nxZxp0vn9BW0831Tx5x/ZNHePt5sf1oHvveK2br4ZzXRqR6eWvYdSyXXcdymRif5vbZSq5/8YSaR23cOlvBrbMVBIbo2H+6gEPvbyW9IH7DNpW+bKJjQ/jp7xzgX397PxWPn3LxbCV3btRT8aSdiiftfP+/XuDAkWxOvF1AepYyoetlIEkSOcnR5CRH86s/cYBLDxv4/GY19U8H+OhKBR9dqSAnKYr3DuRxdHs6vhs4I7IhhelK3qRqtXqeMJ2ZmaG6upqgoCBKSko8Eg5LCR2n32lcXNySws8TYToyMkJDQwMZGRmyndBCuyh3cdoP+fr6rrqJxxkp9/LyIjIyksjIyHkNR05BFxgYKNenOg3x1+Jm8DKQJAmdTodOp2Pz5s1yfero6CgDAwNIksTExAShoaEe1acCz8XqaTlhKoSNwZl/pm/6B9gxEqbNRa3eQb+5HoGecNX88hVf3yCM9m0MqFsA8LL4onXR3VophSHbNFOWVtKD5l+I7Hb7i7aLUniFiE+L5id/7S1+8tfeordtkLtflXHnqzIay9q59cVjbn3xGB+dN9uO5LL33WJKjrw+IjUgyI9TP7mTUz+5k8EePTfOlHHt8yd0NPXz5d/f5cu/v0vslk0ceq+Yg+8VE610pwOgUkkUbUuiaFsSkxMnuXG5lotnK2is6+XcF2Wc+6KMhKRNHD9dwOHjuYSErsrdQ8FDdL5evH8gj/cP5NHUMcgXt6o5f6+BmrZ+atr6+dN/usHxnRm8tz+XjMTVldW9SDZUKn+hN+lSVlCujT9DQ0M0NTWRnp7usen6gwcPKCkpeebL2WndtDB1vxCDwUBnZ+eydlFCCJ4+fcrw8DB5eXnzuq09LQUQQtDc3MzExAS5ubk8fvz4mVIE5/O3nDhvaGggJiaGwMDAJY+B+XWOer2jYcLf35+pqSkKCgpWFTl8+vQpOp1u1al8d9e+3P37+fmh0Wgc9Zsu9akhISErljNMTU3x9OnTVVuEwdIpdIOlnv7p/86k1eGU5KPOxC78Mdjmmps2afOYsT1CCBUa9Vam7b5M2p7I+wM1SWCvQ0UQ05ZERm3jaLQjSHYf8sT/JDQ0FG9vh5iorKwkIyND/nspfu7nfo7f/d3fXbKmexmUMImHvMxUvrv0dw5z50wZt754TFN5u7zd28+LksM57Hm7iO3H8vB9zbq0hRC01fdy9dPH3PiiDP3wnDdw1tYtHHqvmH1v5RMQrIithbS3DXLpq0ouX6hiXD8NgFqtYtvuFI6/VcC2XSloXlM3iI3KjMnCldImPr9RTVXLnE10RkIE7+7P5fjODPx91/5D87WqMfV0rOjdu3cJDw+XRdpKX66LUVpaSn5+vpzatdls1NXVYbfb3bJumpiYWLYJy2KxUF1djU6nIzU19RnBMzIywuDgoFvNT2azmaqqKoKCgkhJSUGSpEVrZN0Rpu7WFi72ePr7++Wucm9vb7k+1V0fzrXOuq+vr5fLEFbDYpOjzGazLL4nJibw8fGRherCx+XJSFZ3H4PVPsXT6b+ix/gJYZog7MKIXUphwNJIlDaJaVutfO4mbQ42oad7SoVRM0akVybT1jJ5f7AmBY3kTadpALOYRqeKxEY3WkJIMX6P0dFRLBYLQUFB6PV68vPzVyx7+da3vsX3v//91diiKcLUQzaiMHWlv3OYu1+WcfvMExqePJW3e/tqKTmay/73Sl6rSKoTm9VG+d0mrn72hPuXajAZHZZsGi812w9lcfj9EsXEfxEsFhsP7zZz6WwFj+63YLc5JEVIqI6jp/I4frqAuITVTfFTWD2t3cN8cbOac/fqMMxOTfPx0nBsRwZfO5BH5pbIVWcGX5saU7vdjtlsntfgtBxGo5Hp6Wm0Wi3FxcWrfgJdU/HO1P3mzZvZvHmzW7e5XCp/fHycmpoaUlJSluy+VqlUbqXFnbeVlpa2akH3PNBqtYSFhTE+Pk5OTo5cx9nW1sb09PS8tP9a6jhfJIuVbji9PJ31qUajkdHRUdra2jAajQQEBMh1t89jeIFrOcCQ6TrNk3+G2T4ESKilLQxZ2zCLxtmj50pW1JIOowinw9QJGsf7RnLRfj6qeKbtMQxa5oSNStJiE6BV+5KQkEBCQgJ2u53x8XGGhoaoq6tDCLGs9ZanqfyxsTG+/e1v88knnzTg+HH7s0Aj8CMgEWgHPhRC6AEkSfod4OdmH+wvCSEuun1nCi+VqPhwvv7dY3z9u8cY6hnlzpeOSGp9aRt3zpRx50wZPjpvth91pPtfl5pUtUbN1v2ZbN2fiXHKxP1L1Vz97AkVd5u4e6GauxeqCQzRse+tAg59rZiMggSlrhLQatXsOZDBngMZjI5McuV8FRe/qqCrY4SP/uE+H/3DfbLz4jh+uoD9h7Pw9duY3xuvG8mbw/kPP3WQ736wl+uPm/niVjVPGrodk6Zu1ZAat4n3D+RyYmcm/uvw+V3XiKlr6t4dQQrQ399Pa2srNpuNffv2ren+y8vLSU9PZ2xsjPb29hVT9wsxGo3U19fPsw5yjint7u4mPz9/2QaisbExenp6lu1w7+rqWvK2VhsxXaqz3R2mp6dpa2t7JpXtWsep1+ux2+3yVKPg4GB5PWuNmNbV1REfH7/qmkd3LZKcCCHmPS6TyYQkSSQnJxMcHOyx3RZATU0N0Yk6Oq1/x7jlEgA+qjim7QEIBrGIuS7XSG0sRlsLvup8Ok2ThGojGbNWy/ujvTKZttajVefSOvOUKK9kJq1V8v5gTSIqyYyNVA6G/e68dZSWllJSUiKPhnW13nK+dr6+vpw6dYpbt24tafq/kJ/+6Z9m7969fPvb35YkSfIC/ID/CIwKIf5IkqTfBkKEEL8lSVIWjulQ23BMfboCpAkhbEvewWtMfl6BePLk8SvnJzrYPcLtM2Xc+ryUxrJ2ebtTpO7/WglbD+Xg9Zp1ag/3j3HjizKufvaY9sZ+eXts4iYOvV/M4a9tJXLz+vhJblSEENRVd3PhywpuXavDOO2IPvv4atl/KIsTbxeSledecEjh+dHRN8rnN6s5e7eOsQmHjZq3l4YjJWm8fyCP3JRot16TVzqVv9CbdKUHbLPZaGxsxGQykZOTQ2lpqcdTmxZSWVkpN6J4MnXJiclkorq6Wp4C5OziV6lUZGZmrthYYjAY5FrWhTjLCoQQZGdnL3pbG0mYLsRqtcr2TePj43h5eREaGsr09DShoaGrrjFdy3AAmPNBDQkJWdX5IyMj9PT04Ofnx9jYGCqVSo6mumO3ZRdW7rX+dyYDLqNV+aJlHG91Ll2mZgR2gjUSNjEtHx/llc6YVU2vuROAzd7JjFvnUvuRXtvpMXUyaXeI2RivdCasFQBoJB06dSFtM9WEe6XwbsQfzVvLo0eP2LZt2zNrdDo1dHZ28p3vfAeLxcIv/dIvceTIEXJzc5d9jAaDgfz8fNra2pBcPtSSJDUCB4QQfZIkRQM3hBDps9FShBD/Zfa4i8DvCyHuL/tEvqZEBMSI3f5vU3Qoh23H89l6NI+wV8wbcqmaVL8AH3adKmTfe1sp3J/5WqW9nfWo1z59zPUzZeiH5upRc7YlceTrJew5ma/4oy7A6Y164ctyaiq75O2b48M48XYBR0/lERKqNF6+TMwWKzfLWvn0RhVP6udek+TNYby3P49TuzIJ0C39Pn5lhamnqXtnmj0mJob4+Pgl6ys9YWpqiocPH7J582ZSU1NX9evMYrFQXl7Otm3b3OriX8hSNarT09NUVVURExOz7ESo1QrTtYgzd4XpQoxGoyx27HY7wcHBctrfk/rgtQrTtYhyQB5UkJKSAsyJOKd/6nL1qSPmWmoN/5VJm8OcOkiTz7htgCmbyyQetRWBBRVafNT5jFvHmbDN+Utu9t7CuLUelTUItFtQSV4MW2rk/bHe6RgsFQRqcugwGQjURKC3NBHtncNbm/73eY9lKWG6kJ07d/Krv/qrXLt2jSNHjvAzP/MzSx5bUVHBd77zHbKysvjhD39YATwBfhnoEUIEO4+TJEkvhAiRJOn7wAMhxD/Mbv8b4LwQ4uMVF/YaskkXLYo4Om9bSkEiJcfyKDmWR0ZJ8is1QrS/Y5jbXzzm5uePaanqlLf7B/ux661C9r+3lfw96a9chHg5bFYbFfdauPppKfcuVmOacTTzenlr2HU8l0Pvb6VoT9or9Tq+DLo7R7j4VQWXz1UxOjIJOBqmtu9O5fjpArbtTEGtWZtVn4JndA3o+fxmNV/drkXvZhT1lROmQghmZmZkL0h3xKCzQz4nJ2deJ/b9+/fZsWPHqgRlX1+f3J2dkJCw6uiZc159QkKC3KntSbf45OQkLS0t88zanS4D2dnZK4qn9RKmra2ti0Z53aGtrY2AgAC8vb1lkWez2WShupJ9U01NDUlJSav2WF1t45eTkZERxsbGFh2K4KxPdQrV6elpAgIC8A/R0O31BWa6mbZWz4rKBCbt0wjR5XILEgHqaXTqdAYsgjHrCOHaQKZtQ/IRm723YBO+NE13YZdsJPqkzBOmm73zGLdO0212TH2K8Upl1FJPnE8xx8P/47z1OlP5yyGEYN++fZSXl7v1WXv8+DE7duzg7t27bN++XZIk6c8AA/DvlxCmfw7cXyBMzwkhPlnxzl5Dtm7dKr76+DyPLlZSeqmSypv1cqMNgH+Ijq1HctlxqpCtR/MICHl1OsJ7Wge4+fljbn1eSnv9XFdwYKiOPW8Xc+BrJeTsfLZJ9FVmamKGuxequPJJKdUPW+XtIeEBHHy3iCPfKGFLxuqm0L2u2Kx2Ht1v4cKX5Ty81yw3TIWG+XP0VB4n3i4gNk6x63qZWKw2bpS18PmNakrr5n5gJsWG8f6BXE7uyiJwNor6SglTZ+r+yZMnZGVlrdgJ7Gpun5WV9Uya/eHDhxQXF3uUfrfZbDQ0NGCxWMjJyaGlpYVNmzbJvqKeYrPZuHnzJiEhIeTk5Mg+n+4yPT1NY2MjhYWFCCFobW1Fr9eTl5fnVhRxtcLU0zpLV4xGIy0tLWsSpgu74m02G3q9Xq5x1Gg08vr8/f3nCaLq6mqSk5NXLUzXajc1NDTE5OSkWx3qdruNOv0XNJj+CZs0jc4Ug1bjTa8YQKhshGiisNrb5eN9VeF4qzbRYZob9xeq8WPG7oioBmlSsQgf+sxzX3AJPkmMWOpQS974qzMx27X0zxOqaQyb60j1O8T+0O/K24UQPH782C1hunfvXiorK1d8vOCoAd+xYwft7e0AkiRJe4HfBlJQUvkrsrAr32Q0U3W7gdJLlZReqqLXZYSoSq0iZ3c6208UsP1kAZtTo16ZuryOxl5uff6YW58/pqt5rjYzPDqYve9u5cDXSkgrTHxlHo87DHSPcu3zJ1z99DE9T+d+bCZnx3Lk6yUceKeI4DAlbe2Ks2HqwpcVdHeOyNtzC+I58XYBew9lKROmXjJdA3q+uFnDV3dqGTU4ys6cUdSvHcwjLzX21RCmVqtV9iatqqoiJSVl2eYVg8FATU3NvLn0C3n8+LFHNlFTU1NUVVURGxsrp8ebm5sJCgpaVb2j0WikqqqK6elpDhw4sKoLqLN5Kjc3l6qqKvz9/Re1lVqKhcLU1ec0LCyM0NDQRRtW1lOYtra2EhQUtKznrMlkkqOpk5OT+Pv7y3Wczc3NpKSkrHqy11rtpgYHB5meniYxMXHZ44bNbTRNfUrXzDUAgjQp2EUY/ZYK+Rg/Sxhq7x4k1ARocukyGYD+ebcTrNaikrQIEmid6STOO5wxa7e8P8EnEbsQdJlMjFvHSfZLYsBcJ++P985i2i7ho4rjvYi5FLzNZqOiooLi4uJlH4fVauXQoUOUl5cve5wre/fu5a//+q9JT0+XJEn6fcAZ1htxaX4KFUL8piRJ2cA/Mdf8dBVIfVObn1ayi+pp6efBuXIenq+g+m4jdtucK0h0UgTbTxSw7UQBeXtfDesiIQRP63q48ekjbn5WyoCL+IhKCGffe1vZ/14JSTmvTzOMEIKGig6ufvqYm2fKmTQ4UqRqjYqt+zM5/LWtbD+cjZf3xn/9XhZCCOqqurnwZTk3rtbJ5RF+Om8OHs3mxNuFpGW615yj8HywWG3cKm/lsxtVPKp1RFEPl6TxR//r2xtbmC7mTVpTU0NcXNyiqVQhBF1dXfT09JCbm7useHV21LsTOXOm7hem2ltbW9HpdERFRXn0uIaHh2lsbCQrK4v6+vpV17qaTCbKy8ux2+0kJycvaSu1FK7C1GKxyOI2LCyMsbEx2bNyYZq8tbWV4ODgVUWKn4cw9eS+hRBMTk7KQtVgMBAREcGmTZtW1RVfW1tLQkLCqrv6+/v7MZvNxMfHL7rfZJ/iyfg/Uz91kXifZKZsXaikeNpn2knwSWXEMtdRH6bZjNpuZtCkYlwy4GX3w1s7Ku9XoSbKK4MmYy9m4UjnxnoHY7A6xKu/ehO+0mZaZhrkc1L8kug31yEhEa7NwmTT8dRUT0ngQU6F/5R8nNlspq6ubl4ZyWKMj4/zEz/xE9y+fdvt56iiooJvf/vbPHnypBpoA34GUAEfAfFAJ/CBEGIUQJKk/4TDUsoK/IoQ4rzbd/aa4YmP6eTYFI8vV/PoQgWll6swzNblgaPRqPhoHrveKqLkeP4rkfIXQlD/uE2OpI4OzLlTxKdFc+Dr2zjwtRJitqyucXIjYjZZeHilliufPubxzQb5h4Z/kC8H3nak+tPylu4zeBOZmjJx43ItF74sp7FuriQkKSWCk+8Uceh4DgGBax9JruA+zlrUPflJFGXEbVxhutRY0fr6eiIjI5+J1lksFmpqavD29iY9PX3FjvaqqiqSkpKWFRgLO/kXptqfPn2Kt7c3MTHu1fgslm5fSxNWR0cHTU1N7Nq1a1XNPM77npiYkFPcmzZtwmw2y1FXm80mi1RnmlwIQUREBLGxsR5f8F62MF1IRUUF0dHRTExMoNfr5alNzq74lR5PTU0NW7ZsWXXzVF9fH1arlbi4uGf2tUzf4sHY3zJjH0dCTbxPIS3GRizCYWCc6JPK8Kww9VEFEqDOosU4Z+0UoAoGySE6vcyR6IU3JvUorh/DaC9/jDYDGtNmOqVx4n02MWieS/0n+yVitk+ht/jQaxomxS+ZLlMju4KOczTsA/k4d1/H3t5efvmXf5kLFy54/FyhGOx7zGoN9m02Ow2PWnh4oZJH5yt4WjtXu6zWqMndnc72UwXsOFVITNLGG0G4EJvNTs39Zm59/pg7Xz5h3EV0pxUmcvDr29j37tZXzrFgOfRDE9w4U8aVTx/TVtcjb49LieTo10s49H4xYZGrq41/XXnaOsiFLyu4drGa8TFHWlnrpWbvwUxOvF1IXmECKpVyGXqZbNgaUyEEJpNJbnJypbm5meDg4Hk+lnq9nrq6OpKTk92OXi4XeYW5zvbo6Gi5k38hnZ2dSJK0qMhYyGKTl2DxOs+VsNvtNDQ0YDKZMJlM7Nixw6Pzndy7d4/ExETa29vJy8vD399fdjxYqhzAZDLR0NAgR7IDAgJkYeeOKf56C9OFYzSdU5ucXfF+fn7y41ks3b/WGtWeHscXhmuJybC5k2ujf4uKUcasXYRotqC3CgI1gfSb56KZiT6pjFhq0c4k0Kc2skkbhd7aJO8P0YSjlaZQSXE0GbtQo8JLNTPv/uPViXRZJhm3T87e5iaGLY7Uvq/Kn01eKdRONsofXKcw3R/8NgdC35VvZ3Jyko6OjmU9dMHxef3DP/xDPvlkVb1IyjeChzyvyU/97UPcP1vG/a/Knkn5x2fGsuNkATtPF5FRkrzhm42sFivlN+u58Wkp986WY5ydVCNJEjk7UznwtRL2vlNM4GtkK9RW18OVTx9z7fM5Ua5SSRTuSePI10vYeSwHbx/FjN6J2Wzlwe0mzp0pp+xRm7w9JjaE46cLOPZWPmGbVle+peAZG3bykzNCupgYVKvVWK1WYG6O/NDQEIWFhR6JBbVajc22eBlaf38/bW1tZGdnL9t9rVKplrwNV8bGxqitrX0uk5dmZmaorKwkMjKStLQ0VvslZLfbmZmZob+/n23btrmd0vb29iYgIIDAwEDCwsJk8/iamhrZFD80NJSgoKAX8oXlzqSrlc53fV8tnNo0NTWFXq+nqakJk8lEUFCQbN/kjBav5XG5nm+yT3N/7BMqJy5jx8YWnzgC1Tk0G9sBCNTMvxBK+GIWSXRLI2AHlcvjUKHGTxVL68xTzLOd+hqVF+AQpoHqcEyWYJqsQ5gxyedZbGYkVER6ZdAwNYxGMi34NSkI1UThJc13YLDb7StmJQC5xlfh1SIqcRPvf/c473/3OIbRSR5fruLBuXIeX66ms76HzvoePvqTs4RGBrHjdBG73y4mf3/WhqxL1Wg1lBzJpeRILjPTJh5dqubGZ6WUXqmm+l4T1fea+H9+518oPpTNoW9sZ/vxvFd+2lRSVizfyYrlZ3/rNI9v1HPl01IeXq3jya1GntxqRBfgw/63Czn6jW2kFyweeHmT8PLSsO9wFvsOZ9HfN8alryq48FUlvT16/udfXueHf32D7btSOflOISU7FNupjc4LuwotNa7TKSid5vQBAQGUlJR4LBYWE6aukciSkpIVu+RVKpXclLUYQgg6Ojro7++nqKho1Q03TkZGRmhoaCAzM5PQ0FDsdvuqhJrZbKayshKVSkV+fr5bAsMVSZJkgRcYGEhgYCCJiYmyKf7g4CDNzc2yJ6cz+vi8Ln5ruZ3lRoJKkoS/vz/+/v7ExcXJozdHR0fp6OhAkiTMZjMTExN4eXmtSqA6BV2V4S73x/+Rafs4KtREemUxaB5n1No+t1Yc739fVRBeUhwjFjWD5rnmDuc40XDtFvpMgh7zDGYx935Uo0EjeROiSaVuqgebGCRAI+blMVQWP6bNkZSZHJFcq23ufB+VL8IeQONkP3n+8x+rzWZzW5iutuxBYWMQGOrPoW/u4tA3d2G1WKm528T9r8q4f7aMgc5hzv3Ndc79zXX8An3ZdiyfnaeLKDmWhy5odVmFF4mPnzf73tvKvve2MmWY5t65Cm58Wkr5jToeXqzi4cUqfHXe7DxVwMGvb6Nwf+Yr7ZGq0arZcTSHHUdzMOinuPllOZc/KaW5qotz/3Sfc/90n7iUSI58fSuH3ismPCp4vZe87kRFB/Nv/t0Bfupn91H2qI3zX5Zz/1YT9287/oWFB3DsdD4nThcQHbs6q0iFF8sLqzF11pcupLu7G4PBgF6vX1MEcmHjkjN1HxUVRUKCe3OKBwYGmJycXNST0mq1UlNTg5eXFxkZGUuKGHdS+UII2tvbGRoaIi8vT+6UF0Jw//59j0oBDAYD1dXVpKWl0dbW9oxl1kqpfHDU1up0uhXdCKanp+U0+czMDIGBgQQEBDA0NLRi08xSrMURABxNb6ux5gLHe7KsrAx/f38mJyfx9fX1WHiXtz/giXSBYXs33ioj4dpERi12hiwjxHj5Y7DNCc9E3wQQXjROD2Kym0nzS6LLNJfaT/JJY9puo2naISrjvGPQ29rl/XFe6XSZRjBYHak8CfBVWxAIfIUOnXYzI9Yxxq1zTSKxUgDj0igh9lg6rTPE+oTRae7kX8d8i53B2+XjhoeHMRgMJCUlLft4L168yKNHj/jjP/7jFZ+bRXizwzir4Hml8t1BCEFrZQd3v3zCvTNPaK+bc3vQaNXk7c1k97tb2XW6iNANLnhGB8a59fljrn/ycN5I1KAwf/a+U8yhD3aQWZL02kQW2xv7uPxxKdc+e8zYglT/0Q+2sfNoDl7eio2SE/3oJJfPVXH+TDk9XXMNpoVbt3DinQJ278/AawNmC15FNmyNKSwuTO12O5WVlRgMBrZv3+727O3FaG9vx8vLi5iYGAYGBmhpaXHLlN6VoaEhWSC74mwmSkxMXLEx6t69e+zcuXPJC57VaqW6uhofHx/S09OfEYye1Kj29PTQ2dlJXl4eOp2OR48eUVRU5LEwbW9vx8/PzyObLLvdjsFgYHBwkP7+fnQ6nSzqAgMD3b7gr1WYlpWVkZeXt6oZ9TAnbDUaDUaj8Rnh7Uz7LxS+07Ypbuo/oXziBgJBoDocf3Ugrca5JpMoLz8mZ6c4bdImYrP70W56Ku9P9dtCt6kRlVAT6Z2Oya6lfaZR3p/gs5kRaxuhmiimrTombVam7XO+lVpJg7faTLiUSINxGAs2QrVapu1zI0xzdMl0zxjpnnFcfDdLQQyrhjmpOsqOsBK5pGFgYACj0bii7dWnn35KR0cHv/d7v+fxc40iTD3mZQrThfS2DciR1Np7Tdjtjsu/JElk7Uxlzztb2fVOMVEJaytnetH0tg1y/dNH3Py0lM6mualpUQnhHPzGdg59YztxqZ45sWxUrBYbj282cOWTUh5eq8VqdmQR/YN8OfhOEUc/2EbKa2S1tVaEEFRXdHL+TDm3r9VjNjvKCgODfDl6Kp+T7xQSn7i0laHCymxoYWq1Wuel2o1GoyzQnJ33a6GzsxMhBNPT0xiNRnJzcz2Ooo2MjDA0NERGRoa8zTlpytlMtBL3799n+/btiwrByclJqqqq2LJlC9HR0Yue744wtdvt89wFnKKstLSU/Pz8eU1L7gpTX19fj+2pwFEj29TUREZGhjzhyGAwzBOqy/3gaG5ulj1WV8OTJ08oKCjwuHzByVLC1im8R0dH0ev1CCEICQkhJCSYJqma2qlS+i11qISaMFUS/dYJzIzMu40IrRcqSYOKaBqme0jxjaDfPBeFSvVLxGK38XTCwIRkIkOXSMfMXPNTkm8iAg3VE90IINo7HIN1zg4lzjuJQfMEwxaDvC1QI2EWZgLUgehUkYxZphi2zEUEkv0i6Df185PB3yTCGIper0eSJLRaLT4+PqSkpCz7Xvn7v/97jEYjv/Zrv+bxc40iTD1mPYWpK+PDEzw4V87dM48pu1aLxTRXIpKSn8Cud4rZdbqYxOyNK3qEELTVdHPt44fc/PQRw31j8r7U/AQOfH0b+9/fSnj065HONeinuHGmjMsfl9JSM3fdSUyP5ug3Sjj4bjEhSgOQzOTEDNcuVnPuizLaWgbl7Tn5cZx4u5C9hzLx9VUazDzllRGmzprFzMxMwJFCd/7/ann69CmdnZ0kJCS4nbpfiF6vp6+vj6ysLHkqlNVqJTs72+2I3FITqJzeqbm5ucuaua8kTE0mE5WVlWzatInExPmTUB4/fkxeXp7HwrSjowMfH581CdO8vDx5m7PpyBl9XMw71claxqHC2oWpu+dbLBZqhyu5MnGGUWmQMHsofl5qBkwmJqRp/NX+2JgTgBpJS4JPEjWTPViE41d4km84g2aHsAzVbEKnjqR2qkU+J1O3hfaZRlSo2OydismmpWVmbv9m7wj01m5CteHYbMEMmicxo5+3zkCNRLRXIjUTQ5jsFqK8/RizzgnXvIAU2qbG+Xbc18gLTJYfW0tLC0ajEavVire3t9z0ptPp5r3HfvCDHxAYGMjP//zPu/X8JiYmEhAQgFqtprKy8okQYqskSaHAj4BEoB34UAihB5id/PRzgA34JSHERbfu6DVlowhTV6YnjJRequLOF6WUXqzCODnnFBGTHMne90rY+34JKQUbd1KTzWan+m4T1z5+wJ0vy5iecDwGSZLI35POoQ93sOd0EX4Bq8/ibSTa6nq49ONHXD9ThmF0CnBMCtt2MJPjH25n64FMNNrVXUNfN4QQNNb1cv7Lcm5crsU47fCM9tN5c/h4LqfeLSQ57fWIsL8MNrwwtVgsNDY2Mj09TW5uLl5eXhgMBjo7O8nJyVntTTMwMEBDQwPh4eEr2t0sh8FgoKOjg+TkZKqqqoiJiZGnQrnLwqilM7o5MzPjVi3kcsLU6QaQnp6+6KSkJ0+ekJ2dPS9C6Y4w7ezslLvZPWUxYbqQxbxTnVHS3t5eNm3atGph+vjxY4qKilbdWe/O+ePWce7or3J37BLgsHEKkKJodqkP1Qlf7BpHbWeMdzKdRiMWMYHFpXkp0SeESZuBEE0iVYZe0v1jaJ+ZS+1n6hIx2Y0MmyV6TXoydPG0z7iOG43BW/Kh0tCLDUG4NpBpMTy33zuBAfMUw+YJeVuYlxdTtmnCtaGoRBCT9hn6TaP8Ydq/I91/biiA648To9EoR7+npqbkSVteXl788Ic/JDU1lZ/6qTlz/uVITEzk8ePHzverBCBJ0h8Doy5Tn0KEEL8lSVIW8M/MTX26AqS9qVOfAHKz8sSNqzcJ26BRPPOMmfIbddw784T7Z8sYH55770UmhLP3vRL2vFdC+takDWtDZZ6x8OhKNdc/fsijS9VYZtO53r5adp4s5NAH2yk68Go3TTmxmK08ul7H5R+XUnqjXrYNCwkP4ND7xRz9YBsJr0lZw/NgesrEzat1XPiynPqaOS/Z9MwYTr5byIEj2fjpXm3HhxfNhrWLAkfjTHl5OVFRUWRkZMhiz9UuylOcos9oNJKWlsbk5OTKJy2DSqWS15mTk7OstdRyt+GspXVGN8PDw+c95tXQ3d1NV1fXsjZay3WnrydqtZqwsDDZq9RkMjEyMkJ7ezt6vZ7p6WlMJpPb3qmuPG+7KVesdgs39Ne5MnKJRN9YvFU+hGsTqZvsJtHXNO9YrcYLb0KZNPlQYXKkgfzUc3pKhQp/VQTt09A+29xkZ67mOlgTjNUeQNVEn8s5c+cm+CRhtKqpnbWeAtCo1GCDECkEs1VH7cQkSPM/A2pJTaJPChXjfVjFADE+jnIUb9X859m1K9/X1xdfX19iYmLkSVt6vZ7f+Z3f4cmTJ+Tk5KDT6Thw4IBHNdwuvAscmP3/HwI3gN+a3f4vQggT8FSSpBYcIvX+au7kdaC/fZCfSPgu0UkRZO9KJ2d3Ojm70onLiFn3zzWAl48X208UsP1EAb9k+xlq7jZy+7NH3P3iMQMdw3z8Z+f5+M/OEx4Twq53itn9zlZyd6ej1myc6JyXj5Y9p4vYc7qIyfFpbp95wrWPHlB9v5kbnz7ixqePCAoPYN+7jqapjOItG+K5Xw1aLw27j+ex+3ge+qEJrn72mEsfPaSrdZBP/uoGn/zVDdLz4zn6wTb2v12I/xs+MclP583Jdwo5+U4hT1sGOHemnCvnq2is76Wxvpe//O+XOXAkm5PvFJKetTE+k68jLyxi2t/fj0qlekbszczMUFtbu+KM7oU4Z9NHRESQmJjI6OjoM/WhnmC326mvr2dgYIA9e/Z4LJCcOEejmkwm6urqyMjI8Mg8fmHE1Lkuq9VKTk7OsinnxcayOiduLfeB6erqQqPRLFn3uhwmk4nGxsZlI6bL0djYiE6nw2q1Mjo66rF3amlpKVu3bl31BaG0tJSSkpJnttdO1PD50CcMW4aRkMjSZdM41cWEzdFYlOobR6/ZEc30lfyI8kqiZqoF++xHRELgrXb84AqxhTFh90JS29Hb5jrm0/0jGTANEGCJoMU2QVZADM3Tc2bQWbp4TGKGURN0zYyRroulY2ZuqlOCTyTeKh/Kx/sQQLDGDzOO21ehItkvgdapYQzWORG9yduHcesU38/+VaK85+p63W1C+/Vf/3XS09PR6/WMjY3xP/7H/1j2+C1bthASEoIkSZSVlf28EOL/lSRpTAgR7DxGkiS9ECJEkqTvAw+EEP8wu/1vgPNCiI+XvZPXmOjgzWKb6ti8dDlAaFQw+fuzKDiUTcGBbKI32FhOm81O/cNmbn9Wyp0vHjPcM1fmErwpkD3vbWXf17aTszsdtXpjRlL7O4e58ckjrv344bymqdikCA59uIPDH+wgKuHVb4wRQtBQ0cHlHz/ixpflGCcd1wsvbw17TuZz7MNt5G7f+IMXXhYzMxZuX6vj/JcV1FR0ytuTUiM59W4Rh4/noPN/PUpAngcbOmK6adOmRSOjGo3GLVN7V5w1qllZWXIKeDmD/ZUwmUxUVVXJ9kerFaVOuru7GR0dXbPXqav5vjt1s+v1a20tUUun12hwcPCqvFOXi3iuZu29M/38qP9zBJMMW4aJ9orFYFExZrHJotS5bhUqQmwxtNuMmO2TsigFUEsagjX+eLGJupk+wEQYc2UcEuAtApkwz9BtG3tmLaHaYBABVI73y9ucBvwaSU2iTyLjZkHtzFxTg1alwWx3pPyHZwTl+mFQzY/s+qv9CFBtQistHTFdDpPJxO7du9m+ffuKxwLcvXuXmJgYBgcHiYyM/K4kSQ3LHL7YC7m2kPgrTmxKFJ8++CueVndRc6+RmjsNVN9pYLR/jOs/usf1H90DHGnz/P1Zjn8HsomIW90kteeFWq0iZ5cjuvsLf/xTNJU95e6ZJ9z5/BE9LQN89VfX+OqvrhESEcTud4vZ+942cvdsrEhqVHw43/rVU3zzV07SUtXJ9Y8fcf2Th/S0DfL3f3SGv/+jM+TsSOXwhzvY+24x/hvQ59UdJEkiszCRzMJEvvO/vce9i9Vc+vEjKu81c+3zJ1z7/AlR8WEc+2AbR762lU0xG7Os5GXh46Pl6Kl8jp7Kp7N9mAtnyrl0rpK25gG+/1/P81ffv8KBw1mceq+IjGzPx3wrPMsLE6ZLvTieCEq73U5TUxNTU1OUlJTME5CrFaajo6PU19eTkZFBYGAg5eXlHt+GE6vVisFgQJIktm3btqZfmM6xrJ5EXCVJmmfJJYSgs7OTgYEBQkNDCQsLe6aZxXneWlPizwuNRsOmTZtkP1und2pLSwszMzPPTG56Xh/6Kes0Xwxd4NbofezYyfVPJEqbSt2kI+0erJ3vyKCVfEHEUGdxRCjDXDSVt8qLGK8tNEx2YRFzkRZJrQIbRGki0M9INI/pGZeM8n6BHR+VN9FecZSNDeAXOP+HnBqJLb7xdE+beKjvI003v1ktUO1HoDqA8jFHKYG/2keeCuWn9ibOO5ZaQz8m+xTeqvkf9RdlsO+0V5u1IvsMR2p+QJKkaCFEnyRJ0YCzBbYbcJ0HvBno5Q1HrVGTUphISmEi7333uONzXd9DxY1aKq7XUXmzloGOYS793S0u/d0twNGElLcvk8KDORQdySEoPHDd1i9JEunFSaQXJ/Ezv/8N2qo6ufnpI2598pC+p4OySA0KD2DX28XsfX8bBfszN4xIlSSJ1PwEUvMT+Ln//DXKb9Zz9aMH3DtXTs2DZmoeNPMXv/3PbD+ex+EPdrD1SM6GnJjlDj6+Xhx6r5hD7xXT3zXCpR8/4vLHpfR3jvB3/+08f/8nFyjck8axD7ex82guXt6v5uN8XsQnhvOdXzrKv/2Fg9y92cC5z8uoLOvg4tlKLp6tJDFpE6feK+Lw8VwC3vCyiLXwwlL5zpTyYrhjkbQwdb9QkExPT9PY2EhhYaFb63Edf5qfn4+Pjw82m43S0tJVzaqfmpqiqqoKlUpFRkbGqupTwRFhiouLo7e3l/z8fI8irlVVVSQlJeHv74/dbqeurg673U5cXBwGg4GRkRGmpqbk8aNOf87u7m5UKtWKHq2LYTKZaGhoID8/3+NzAZqamoiIiHCrVtF1cpNer5drgvPy8ggICFiVSH3w6AGGJBvXRq8zatHjJXkR653AjM1Eh2lOE2X7x9NqbCVMGwYiCC1etBjnGpcSfCMZtnST6JNE06QBqxDYmJh3X4m+IahEAFUTjihosi6EHtMQACokkuyOlP4UDkFaGLSZhinHfcR4hxOq3sTD8blmqEz/aNqMXfjiRZRXFONWO73mOZ/TUK0Oo5gg1S+ehvExJm1mJMnx4+3izt901KjOUl1dTUpKyorvtw8//JAf/OAHJCQkrPjcTk1NYbfbCQgIcDZR3Qf+D+AwMOLS/BQqhPhNSZKygX9irvnpKpD6Jjc/udOVb7PZaavqoPJGHZU366i+3cD0xNwPHkmSSClMZOvRPIqP5pG5I3VDCCenof+tz0q5/dkjelvn3rtB4QHsfb+E/V/fQc7utA2ZRp6aMHL3yzKuffyQytuN8o/7oDB/Dnx9G0c+3ElK/qs/HtRms1N+p5HLPy7l3uVq2Rs1INiPQ+8Xc+KbO0hM97wM7HWlu3OE87NR1HG9I8vm7e0YkfrWe8Vk5rxZUdQN3ZW/FmE6NDREU1PTvNT9QkwmEzU1NW7VqlosFqqrq/Hz8yMtbe6it5rJS4Bs6J+bm0t3dzfR0dGr6jK32WzcuHGDiIgIsrKyPLZAcg4B0Gq1cglAXFwcVqtV/iAIIWSRqtc7rIY0Gg06nY7k5GSPPzBrFaaNjY1ERUWtSsibzWYeP35McHAwExMTbnunOqmaaOL/a/0xo6oJQrRqoryieWo0MGaZJk0XTrdpLtqZ678Fk11QOd6HDUFuQPy8etBM3RYGTdN0GB3PaYhGh4kxAHxUXmz2jqN5aoApm1k+J9EviH7zCNFSGJPCiwAvH5qn5jo/k6VAxtWTBEubqJseJT94M7WT7fL+7IBY1JKK6tFhpoWVFF043aa51H+2fzx9xkl6ZhwC2U+lxYwJtaTi0q7fmvdcVFZWkpGRgbf38h2mp0+f5tNPP3Urit/W1sb7778POLIJdXV1vyuE+ENJksKAj4B4oBP4QAgxCiBJ0n8CfhawAr8ihDi/4h29xqzGLspmtdFa2UHF9VrKrtVQfbthnu+oj86b/P1ZFB7KoehwLglZ6/9FKYTgaU0Xtz97xK1PH9HdPPc+Do0KZu/7Jex9fxvZO1M3pEgd7tNz/eNHXP3oPu31cz9o49OjOfLNnRz8xvbXIgU+MTbF9S/KuPijh7S5PM70/HiOfbiN/acL0SmRQQAsFhv3bzVy9osyykvnghhvWhT1tROmdrud5uZmJicnZXuppbBarZSVlbFt27Zl12EwGKipqSEpKWlReyRPJi8JIWhubmZiYoK8vDy0Wi0NDQ1s2rTJo4YncESEKysrmZmZYe/evavy5aypqSEkJIT29na5BEAIgdlsXvKLx+lhOTU1hc1mw9/fXxZ3K4kUWF9hCvDo0SO2bdvmkXdqr3GIf+r/iqoJx5Slzd5RWO0S7TND8jGpulB6TAOzXe2JWGxq6qba5f1OYRog/PDXRmARKtpd6j03aQOZFqMk+yXSPGFAbzHio7bNq0PNCYhmfMZO07RDzGYGbqJ12iGGvVVa8v238EjfxYzdEUFNUQXRqXKY+Kf6xeIt+VE6NremDP8I2md6ifUJQ9h8MFpt9JrnTP9DtH54qSDWO4I/zf/mvOfR3QlaBw8e5O7du269NxbhzQkTPCeeh4/pzLSJ6tsNlF2t5snlatpru+btD4sJoehwLttOFFB8NBf/YPdLNV4EQgjaqjq58fEDbn7ykIGOOUu0sOgQ9r5XwsFv7iR968YbKSqEoKWqkys/us+NTx4xPjseVJIk8vemc+RbO9nzVhE+r7jFkBCClppuLvzoITfOzPnAevto2XMyn+Pf3E7Oto33+qwXvd2jnD9TzsWvKhnTO3xkvbycUdQisnI37mCKtbKhhalTIC3GYmJwZmaGqqoqwsPD2bJlZXsOu93Ow4cP2blz55L3393dTXd3tzzC0921LIbZbKayspKQkJB5kcbGxkZCQ0PlGkl3cNa5ZmVl0dTUtKhBvzs8evQIs9lMUVGR3Jm/kjAF6O3txW63Exsby+TkJKOjo4yMjLjVIb9RhOlCFnqnarVavIP9uGGrpX6mnTHbAKHaIOzT3rTbDei0dmxirj43WReCt+RNr9FC34yBvMBYGqfnOuLzAxKx2KFszBFBzfCP4qlxTphm6OIZNRvpNI4BDusnzWyXfoDGj2htJN3GcUYsc/ZOaQFhdBoHSdPF0TYxwWa/YOom5m6zMCgWvXmCmRkV7eZJUjWBtLsY7OcGxoBQUT7ajx1I0oXSNVsq4Kf2IkMXy5PRXgI0Ppzd+wvzni933Q327NlDRUXFai+ir+eV9wXyIgz2h3tGKbtaQ9nVasqv1aAfmHOKUKlVZO9KY9uJAkqOF7Al1zMf5+eNEIKmsqfc/tQRSR3onBOpUYmb2P+NHRz4xna25KzvOhfDarHy+GotVz66z8MLVbI/qq/Om73vFnPkmzvJ2aARYE+YMZq5d6GKix89pOrBXKlR7JZNHP9wO0e+XqJMmJpluSjqW+8Vc+Rk7mvX0f/KCtOFYzydqfvMzEyPRlUuJSptNhu1tbWOGc8rpMjdEaZOo/u0tLRnBGhzczNBQUFuzZ0XQtDR0cHAwIBc5/ro0SMKCws9Gqfq9HMdGhoiOzt7XrTWXWFqs9mIi4ubt93ZIT86Osr4+Dg+Pj6yMb6zFtFsNlNfX7/hhKkrFruVL/vu8tngLYzCTJhdR7DGl2bLONZZL1FfjQ0x+/aO8d6En0pHtWEurZ4bGEPTdCfqWRsmYddSMdEu73fWe0Z6haAlEIPZzKB17kvUS6VBq7KS7BdH7dgokzYzm7y9GbfOdfqXhCTQNTVF+/QYAPlBUdTPNl+FewWwxSeKOyNtiFl9VxgUTc1UN15CTZQIxI6GNtucUE3z30SXaZBM/800jOkJ1PrSMzPKZt9gPtn1cx4/j6AI07UiSVIc8HdAFGAH/l8hxJ8tdfyLnvwkhOBpdRePL1fy6HwFtfeasFnnSnrDYkLYeiyfkuP5FB3OWddoqhCCxidt3PzxA258/JDR/jF5X3xGDPu+to39X99OfEbsuq1xKSbHp7n5WSmX/+U+DY/nSoCiEsI5/MEODn+4g5ikjWX5tRr6Oke49NFDLn/8iJEBx8Q5tUbF9sPZHPtgG1v3Z2yYprb1pq9Hz7kvyuZFUb29NRw4kv1adfS/ssK0tLRUHgvZ0tKCwWB4ZrSmOywmKp1NSXFxcWzevHlVt+H6GJxR1/z8/EWN7ltbW9HpdCtOUXKKZbVaTWZmpizKF5t3vxzOyG1oaCgmk+mZ+lZ3hGlfXx9Wq/UZYeqKEAKj0cjIyAijo6OYTCaCg4MJCgqit7fX7aazhTQ0NBATE0Ng4Oq6hlcSVPdG67k9WkmpoRYVKlL94pmw2Gmf6XE5SuCjsRGo8iNUG0XlWD/xOn/6TXMiLycwGpsQ9Bst9BgnKAreTI1LvWduwGbsQkWZvg87kOgXSr/Z0WwuAZm6eLqMBgZNU/I5IV4apmwmNqkD8NMEMW030WV0iYAGRdBtHCXBJ4ry0UFygyOpMsxFULeGxGITUDs8zKSwkR8UQd3UXF1sttcm+mwz9Jsc4jfZP5T26WFS/MP5x+0/Pe95WsrP1RUhBPv27aO8vFwRpqtk1oUgWghRJklSAPAEeE8IUbfY8S97JOnU+DRlV2t4dL6c0kuVjLrMk3dGU3e8VcTO08VsTlu/hhebzU7N3UZufPyAO5+XYhiZyzxsyYnj4Ic7OfjhDiLiNp7PaFdzP1c/us/Vjx4w1DP3ec/anszRb+1i33tb0QW82rWHNquN0hsNXProIQ+v1ckTpsIiAzn6jW0c/+Z2otbZ0myjYLHYuHezgbOfl1HxpF3eviU5grfeL+bwiVx0r3Dpx4YWpuBI+y5GWVkZycnJNDY2EhYWRlLS6mpTForK/v5+2trayMnJcVv4LBd1ratzfHcsF3V9+vQp3t7ey3a4T09PU1lZyebNm58Rg4uNFV2KiYkJqqqqSE1NJSIigvr6eiIjI+dFmd0VphaLhfj4+CWPWYgzVT40NMTAwABBQUFyNNXPz8/t1+9FCdPmyV7+pusStRMd5AZuxiosjJgs9MyME+8bRr9L97qvyosEr3BqJ0Yxz0ZQY7y9GbU5vuw2+4QTpA6mdGzOTLkoOJaayQ40qEjVxWO1aaiamEv1J+vC6TH1s8U3kkmzihGTkSkxJ0oBYnz9CLDpqJ7UO8RsgD+9M460qlZSUxKcwJPRfgwWxw+6otBoqmeFaaZ/NL6SLw9G59ZUHBpDlaGLJF04JrMaL1Q0Ggfl/YlegQi1IN0/lv+r4OS8tbgrTPfu3UtlZeWyxy3DGy9MFyJJ0hfA94UQlxfb/7KFqSvOWs/Si5U8vlT5TDR1c2o0O04Xsf1UIdm70tZtZKfVYqXiRh03P3nIvS+fMDk2l4XI3ZPOgQ92sve9EoLCN1Y62WazU323iSsf3efOl2XMTDm+H739vNhzuoij39pF3p6N6UjgCaODBq58WsqlHz2ip32ujr9wTxonvrmDHUdz3njbKSc9XY6O/otn5zr6fXy1HDyaw1vvFZGW6blzznqz4YWp2Wxe1C/z0aNHmEwmsrOzPUrdL8QpKj2dT7/wNnbu3DlPWDmFZGxsLHFxy9cydXR0oFarl4zODg8P09jYSHZ29qIWSWVlZWRmZq5o2+MU3Xl5efj7Ozw2GxsbCQ8P9ziV39/fj9ls9kiYOjGbzbLfqjOaajQa51lSLVcv+7yF6aBpnDP9Dzgz8AABxPqEEakJ46FhrvYp0S+cXlM/KiSi7SGMSmpGrePzbjfKywub3Yav1Z9m6yTpfmG0meYuqkXBsViFoHFEz7iwUBgcQ83kXFNJTmAMFpugesxxTriXjnG7I7Xlo9KS6hdDzXg/Rhfv3VidH8PmCTL9Y+meNBLk5UXL5Fw5QGFoFFNWE1armiaDnq1hMZSPzUVQd4TFYzCbqRwdko+vnnBEhjd56YhXh/BwrI90bRD/Kbpw3uCC0tLSlUsiLBaOHj3KkydPln9RlkYRpi5IkpQI3AJyhBCGxY5ZT2G6kKnxaR5fquLB2TIenS9nQj/3Q0sX5MfWo3lsP1VIyYn8dfNNtZitPL5cxbUf3ePB2XLMM46GW7VGTdGhbA58sJOdp4s2XOe4cXKGO1+Vcemf7lF9r0neHrE5lMPf3MnRb+585VP9QghqHrVx4V8ecOd8JWaTo+Y2MEQn204lpC2faXxTMJut3LvVyNnPnlBZNhfwSEmP4q33ijl0LAdfv7UNAnpZvHLC1G6309raSnd3N7m5uYSHry3tcu/ePYqKiqisrFzS73QlHjx4QElJiRwRdda7LiUkF9LV1YUQ4hmRJ4Sgvb1d9k1dqqu5oqKC1NTUJZuzFnMCcOKMOLs+j+4KU5PJ5JY35UKcwrSgoEDeZrfb51lSqVQq2eDf399/3lrq6+uJjY1dtTB1RvqmrDP8S889PusrJTMgggHzKOGaMKrG+8gLjqVuci6yuMUvHB+1iiGjnS7jOH5qLVbmRj76qb3J9I+mVN+H2e4QjinegXRaHWm3OE0IAZoAyibm7FIKg2OpmewkWONHjNcmpi02mqbnLG+ifQLR28bJ1MXSNG7AYDGBar6BfnFoNCPTZlomxxz3GRjC06kR+fx431DuDs2J3+KwaCrGegiQtCT6R6ISKh7re+btb5seItk3goqhQTKDIqgy9LEvIpH/O+ew7GBgNBoxm82kp6fL3raLMTY2xk/91E9x69Ytj14jFxRhOoskSf7ATeAPhRCfLtj3HeA7APHx8cUdHR2L3ML6YrPaqL3fxMOz5Tw8V05nw9z7TqWSyNmTwa53trLz7eJ1G5c6ZTBy/6sybvz4Pk+u1sjpZC8fLTveKuTwt3ZTfCR3Q3i6utL7dJAr/3KfKx89YLBrzlUjZ0fq/5+9/45v4z6z/fH3oPde2ItIiiIpUr1azbZcZMs1jh07iZ3EKZtNtmX3Zktu2dzv/W3u1ru7KbvZbIpjO7YTOy5yL7J6l9hEiWLvBSABkOh1fn8ABEhZhVIkWcrmvF5+2R4MBp8BwMGZ53nOOdz+6ZvYeM9y1De4QMY/FeLDV47z9vOH6G3PjR/VLC9j26Nr2Xj3UlTqG4N4XW0M9E3wxisneP/NZvwZ9wONRsGtdzaw/YHllFc6L3KEjxc3FDGdUd1bLBZisRh5eXm/UbUUYM+ePdmZzcs91oz4SCaT0d3djdfrvaSZz+HhYeLxOGVlZdltiUSCkydPolQqqa6uvmBrprm5mYqKimwVdDbi8TgtLS3o9Xqqqqo+QjY7OzsxmUxzBFnzIabj4+NEIpErRkzPtc+M0j8QCKDX67PVuu7uboqKitDrL6/NdujIYVwlMp4e3MNUIoRGqqBBX8JRbz/RDKlcZiyiLZj+cS9SWTFLLByZ6sseQy9VEiWETJBSrS2izedBJQdfPGdSXqO3Ek0lEJIqTk1PUqMy0pXI5X8vMxYgCBJaPBOEkgkWGx2cmTXvucxYzFAowFAo7SmqlsqIZ1KZChQGtFIdQ2Ef/lm59mU6A4FEjGKVlcaJcRaZrZyezrXmV1sLSKYEGl3jxESRVfZ8jmeIqUoiY62liCPuUQKJdNVomSWfpqkR7iio4u+W35k9Tjwe58SJE9jtdrxeL6IontONYWhoiG984xu89db8rUWTySQrV66ksLCQ119/XRAEwQK8AJQBfcDDoih6AQRB+EvgSSAJ/KEoiu/M+4VuIAiCIAdeB94RRfGfLrTv9VQxvRBGe8Y5/FYTh988QfOuUyTiuU7AgoZS1t+zgrX3LKdq2cUdVq4Gpib87H3lKLt+dZDWfWey2w1WHZseXM3ND6+jdu31pZBPpVK0HujkvecPzGn1q7RKNt23gtsfvYm6tZU3tEBGFEU6W4d454VDfPjaCcKB9Dlq9Spuvm8Fdz66lora60/M9nEgGomz98PTvPHKCdpacgWK2voitj+wgo0316BUzb87fK1wwxDTmXb2jNfmpSjZz7koUaS7u5u+vj7WrVt3SZGJZ+PYsWMsWrSIM2fOoNPpqKq6tIvVyMgI0WiU8vJyIDcGUFJSQmHhxf/AWlpaKC8v/whRCwaDNDc3n9d/Fc7tCDAfYupyuQiFQnPI9HwxH2I6G6Io4vf7s23/UCiE3W4nPz8fvV5/Se/17ol2vnvmHbRqOa7YFIu0RXT4vSzQmmmbbbNkKmIs6sEstdDoHaNa76A7nKtmmmRqSjQmBoNhRsPpuVKrWo4/kb47tSl0lKnsHJwYZMZQambeU4JApcJGMiZyOu7LHrPe6KQ9OMICrY14XEo8Cf2RXPXDIFOikQuYkmpOB6dJAVqFkPUs1UoVNJjyOeoeI5JMb6sxW+nwu5ELkvSoQFykyZc7j5X2fJp9ozQY8+j1TVOuM2eJKsAKawEiIot0Tv5i6Ybs9rM/w7PdGJRKJaFQiMnJSV566SVefPHFeX9G//RP/8SxY8eYnp6eIaZ/B3hmpT6ZRVH8c0EQaoHnyKU+vQ8s/G1LfRLSf4hPkX4P/vhi+98oxHQ2glMhjrzdxIHXjnH07eY5KVS2Igtr717O+ntXsnRL7ccylzo+MMGuXx7kg+cP0H869/dhL7Kw5ZPruPVT6ylffH4h6MeBkD/CnleP8e5z+zl1ODeWlF9uZ+sj67jtU+twFN3YYqJIKMqeN5p567mDtDfmugRV9UXc8chatty7HK3+xq4UXyn0do2nq6hvtRAKpTUIeoOa2+5q4O77l1Ncev2I/m4IYtrR0YHP56OhoSHbzu7p6UGtVpOff+kqz1gsRktLCwaDgenpaerr6y/X/BvIeYFWVVXhdF56iXxsbIxgMEhFRUV2DGDx4sXztkM6efIkxcXFc/afOU59ff0FW97d3d3odLo5674WxLStre2yVfltbW3odDpCoRDT09PzSm9qnR7i33p3cirTSl9jLqUn4GM0k3C01JTHqcxspU6qZLG+lAOT/cRSaVpZY3DQlTGyLxD0qBUm2vyjc17DqJJmsumdNE66KNEZs211gOWWPJKiSP/kFBOp+EfmPatlBiIidEXSc3hVegs94fS8qEGmZJHWyQnPKNFUzjtVLkshk0io0+dzxuNFIZMwEcsJORaazOikSoamgoyFQ9Rb7JycSou4BGBzXhkdXi/DwfT7sNKez3HPMAJQb8pDIyg56BriUxWL+dayjdnjhsPhbHLZuRAOh/nggw/4/ve/z5kzZ9i+fTu33XYbDz744AVFekNDQzzxxBN861vf4p/+6Z9miOkZYIsoiqMZhfouURSrM9VSRFH8DoAgCO8Afy2K4sHzvsANCEEQNgB7gVbI3uf8lSiKb55r/xuRmM5GLBqn6cM2Dr1xgkOvn2BiONdl0Ju1rN2+gg0PrGLF1noUqmvbup0Rd334y4PsevEQ7qHc2ioaSrj10ZvY8sl1WPNN13RdF8NQ1zjvPX+A958/yGTGMksQBJZtqeHOT29g7bYlKJTXX+XsUtB7eoR3fnmYD14+RmAqfWOj0ijYcs8y7nx0HQsbrj/f2o8D4VCMXe+38cYrx+k4nfsNW7qijO0PrGD95mpkH7M913VPTI8fP45KpfpI9OXFBEPnw4yf6IwqvbGxkerq6nPaOM0Hw8PDtLe309DQcEkG+bPhcrnw+XxIpVI8Hs8ljQFAmqgVFhZiMpnSHoO9vUxOTs7rOOeyqpoPMXW73QQCgWyV91IQj8c5efLkZRPTU6dOUVxcjF6vn5PeNDk5SSKRyLaUTSYTg2EvP+nfz25P2h1hgcaBdzqCVCVhLJrTjiwx5tEdHGehtpCTXi/VBhvN07NaHwYH4VQEmajhpG8Ch1KDJ5HLtVdIpCwx5tPqnSSQSN+NLtAb6c8kNFXp7Oglao54ctWWVdYCTviGsCq0FCjMpJICTdO5GdRimZoJIcxClY2OaT96uRJXPPeaMolAg9nBwFSQ8XCajJrVCqbi6aptndGJmIST3pwYqtZs5fS0m1KZFkGqwqBQ0uydVUG15RNOxQlFkvRMTbHSkc/xyRE+v3Ap32jIBVEEAgEGBgaora294Ge1Z88e3njjDT73uc/x3nvv8Y1vfOOCIr2HHnqIv/zLv8Tv9/MP//APM8TUJ4qiaWYfQRC8oiiaBUH4HnBIFMVnMtt/DLwliuL8y7O/hbjRielsiKJI54leDu44zr6Xj8ypVqp1KlbfuZT1965k9balaI2Xdw2/XKRSKdoOdrLzhQPseelwVtkvkQgsu7mOmx9Zz033rkBzHdk4JZMpGnef5r1f7OfAm01ZA3+9WcvND63h9kfXU9lw6YLW6wnRSIz9b7fy9vOHaJ1VKV5QU8Cdn1rLzfevQHedCdk+LnS0j/LGy8fZ+e5JohnRn8Wq4457lnL3fctx5F2eV/hviitBTK9qX6Wuru6cBEkmk503rvRcEEWRgYEBRkdHWbZsWZaISqVSkslL7/ylUilOnz5NPB7HZrP9RhVXURQZGxvD4XCwYsWKS55ZkkgkpFIpkskkra2tKJXKeR9HEIQ54rIZYjswMIBer8/aOc3HiupaYuY7IQgCOp0OnU5HSUkJyWQSr9dL1/gQvzz1JocTYyglUvJVRjQSHa0Z9XkxuQuTBAG9VIMkZeCgO1dNnIFdocMg0dM86SFF+sdHKknfUUoFgTp9IX3TAQ67x0mRq2amRJEStRklKk66J2iwzr1JkAoSlhqKaXK7GEmNs8KaP+exUpOD6UkXjZ50VUYjSrILW6S1EUvA0TH3nGPGUwkW6m0kYgItY5MU6efOHRvlKqrUNs54vUCEBltuhKPKYEGBnKPjOVusmdtKvXzu9zuZTM4rAjcYDKLX61m9evVFFfyvv/569m9g165dFz025xZG/UY3wr/D9QVBEFi4YgELVyzgib/+JAPtw+x7+Sj7Xj5CV1Mfu188xO4XDyGTS1l6y2I2fWIN6+9dicHy0Xn7Kw2JREL9TdXU31TNV//+Mxx5u4n3f7Gfo+80c/yDkxz/4CTf/SMF67YvZ+tjG1h+S93HbhQvlUpYeUsdK2+pw+8NsvPFw7zz7D56Tg7x2o928tqPdrJgcRG3P3YTt35yLXrzxxs1ezlQqhTccv8Kbrl/BYPd47z13CE++PUxek6P8IP/9Wt+/J0dbLx7KXc9to5Fy0r/S1dRFy7KZ+FfbudLX9/K+2+38MbLx+nvneC5n+3jhZ/vZ9XaSrY/uIKVayuQSq+fWer54KpWTBOJxDmJ4+z293yOcfLkSeRy+RxjekhXG4uKii4pRSgSidDc3IzT6aS0tJTTp09/xKR+vggEAjQ2NqJWq1m58vJuENrb2zEYDPT39887FGAGsz1UZxv4L1iwgEgkwuTk5JxKpNVqxWg04vF4mJ6eZsGCBZe83itRMS0pKTmn2CuQiPLqcAs/6d9PJBXHItfgQE9beGIWZYQCrYqJWIBFunwmQwkMchWn/LnK4SpLAT0hN6UqB42TLqoNdk4Fcm2PQrUem1KNOxRjMNMGl8py31OnUkexysRh90g2dWmxxc5p/zgKJNQZCyAl4ejkXEV809Qw9cZ8xv1hLEoNbdO5NZVqjSgkEAzEGI5H0UlkBITczVm5zoxGkHHSkxsfcGjVuKMhSrRGDIKKYDxOTyBn0F1ntRFKxtGipM09wRKHgyZPjphuzCvGHQxxd2kVn69bmt0+U6Guqqq64Gf14osvMjQ0xP/4H//jgvsB/OVf/iVPP/00MpmMSCTC9PQ04XD4WWAV/4Vb+ZeKmYppMpGk43gP7Ue6aD/SxWD7MMHpEKHpMJFQDLlChkIlR6FWYLDoMNoNGG0G7EUW7EVWHCU28soc5JXbr3nLfD4Y7XVxcMdxDrx2jJP72kml0j81UpmUZbcuZuODq7np3pUYrNfWi3TaE2Dvy0f44Ln9tB3szG635Jm45ZF1bH1sw3U3j9rVMsC7zx3gwxcPZy295EoZG7Yv545Pb7jhvVFj0QQH3k1XUZsP5D6T8kX5bHt03e+qqBmIosjJ5kFe//Ux9u1qJ54RJDrzTdx13zLuvGcZZsvVv1m57lv55yOmbrcbr9fLwoULL/h8v99Pa2srZWVl5zSwP5fB/IUwOTlJe3s7tbW1WSLa3t6O3W6f4wU6H7hcLrq6uigtLcXn81FXV3dJz59BU1MTU1NTLFmyZF72VLPR19eHXC7HarXS1NREQUEBxcXFH2nlJxIJfD4fk5OTTE1NIZFIkMvlVFdXX3I19WoQ01gqwYuDzfy07zCFaj2jMS8L1E6aPeOopAoCqdCcYyxUaAnEBQYyKvrFJgenM8RULZWzylzEIfcowYw6vcGUR1sg3WYvluqwaSwcm9WWlwoSkMaxKNQUK200usdxaNSMRXLpMg0WO3KJjDMuD9OpBCts+ZyYJTTa6Chl0D9Nrz/tj7rE4qRlKk2Gy3Vm8uR6DrhzM6k2pZqJRAi7TIU+JaM3FCJ1VkFmodmMRlDS4nIhilBs1DMQTB+/UKunVG3k4OgwM8XHeruDFu845XoTWhQoJVJOuMf4q9U38Wj14uxxJyYm5nVj8tRTTxGPx/mTP/mTC+53Nnbt2jW7lf/3wOQs8ZNFFMVvCoJQB/yCnPjpA6Dqt038dKlYuXKl+Lff+Gee/t+/YqR7/OJPuAgEQcBaaKaoKj/9z8ICSmoKKa0twlZouS4qTj73NAdeO8aelw7T9GFb1uZJIpWwZEstGx9Yzfp7V2LJM13TdY31u9n5/AHe/8U+hrtyn8WC+hJu+dR6bnlkHdb8Sy9oXC3EonEOvd3MO8/u58SHp7LdNGeJldsfvYnbHr3xBVMjfW7eev4Q7714lKlM+pdSJWfT9qVse/R3VdQZ+LxB3n2jmddfPs7YiA8AmUzChptr2H7/CuqXlVy19+mGJaZer5exsTFqamrO+9yRkRH6+vrmGMqfjY6ODsxm80XnQ2da3BMTEzQ0NMwhY/M9xuxjdXV1MTU1RUNDA5FIhIGBARYvXnzxJ591nIGBAXp7e6msrLzkeVtIz+pGo1HcbnfW8eBiM6aiKDIyMoLL5UIQBOLx+Jxq6sXurH9TYtrW1kZpaSk6nY6UKPL+WAff697DWMSPSiJjhbmYE57R7KynSa7Gn0pXAYrUJsSgiF+awhPPkdUymZpRMcRCtZ2+QIgKg4UTvhxpXGLOw58Mo0jKOeXzUKYzMRDJVR7NchUVBjPN7gkime+rU63CHQshQaDelEcyAS2+nHXTclsejd4RFuqtpBICRrmKY57cjOlSSx6T8QBmqZZmt5tqk4WOWeb5lXoLermSZtc4KRGUEikRIT0zZpLKKVDo6Av6CSdzteI8vYakmMKcktHlD1JuMtE9nTuPtfmFBKMxTrrcgJCuoE6M87/XbeaBykXZ/eZrF/aDH/wAq9XKF7/4xQvudzbOIqZW4JdACTAAfFIURQ+AIAjfAr4AJIA/FkVx/r5Uv6Vw6gvEJZFNADhKbCzdUseiNVVULi1Db9GhMahRqhUk4knikRiRUIzpCT++iWl8rikmhj24BycZH5hgvM/FWJ87S/TOhtaooXJZOYtWV7JodSU1a6quOfk7GzMkde+vD9O4M0dSBUGgfuMitjy8jo0Prr6mhv6iKNJ+tJv3f7GPXS8eJpCpSgpCeh719s9uZP09K1BeRz6c44OTvPvsft57/gCujMhrRjC17bMbWXvnkuvOz/VSEIsmOPheK289N7eKWladx12PreeW+1dcd6EKHwdSKZFjh7t5/dfHOHKgK9uZKCmzcc+DK9m6rR7tFfbIve6JaTKZJJFIfGT79PT0eclcMpmkvb2deDzO4sWLL5giNJ+c+kQiQWtrKyqV6pyeoudStp8P5/IV9fv99Pb20tDQcNHnzyCVStHW1gaASqXCYDBcliNAa2srHo+HVatWZedu5yN+mpycxOfzUVFRkZ3rnKmmqtXqrDn+uaqpV4KYlpWVcSw4xvc7D2BSqGidHmaxoYCeqWnyVHraZ/mBWhRqVDIJNrmBpgkXKcCmVuLNVEslCKy3lnDKO4krkt5WrdTTmUxXFgvUBirUNvaM92bb8gv0ZvrCHlRSGbV6J/0+P654YM46bWoVBWo9vmCc/sA0C01mOgM5Fe8GZzGecJi2yXTrfZUjP0tM89Q6Funt7B7pJ3MdoMZso93vwiCRU6G34QtG6Q37ssfTyxVI5QIVWgstYy7iqRQSaU7GbVYoqTCYaRx3kcz8zZYYDQwEpijU6nEoNIRiCTqmcmuss9mJJhN8fckqbikty24fGRkhlUpd9Gbo7//+76mpqeHRRx+94H4XwO9KF5cIg2ARN2ru4g++9yS3fXbTbzzXmEwkGe93M9Q5ytCZUQbPjDDQPkz/qSGmJ/0f2d9RYssQ1Spq1lRSuaz8YyNc05N+Dr1xgr2/PsKJ91uzYh+JVMLyrfVsfig9k6o3X/2Z1BnEonGOvdvCB88f4PCbjdk1aY0aNn9iDVs/vYHaNdeP12gymaJ5bzvvPLOPA281Ec+kL5nsem59eB13fuYmiqsu3R3nesJwr5u3XziriqpOK/q3PfY7Rf8MXGNTvPnqCd7e0YQn8z6p1HJuvaOe7Q+uoKLqyqRw3bDENBgM0tnZ+REvzFAoREtLC/n5+ZSUXLzUPNPKPp9f6MwoQHl5+XmtqeaTdT/7WGf7ip7vXM6HmRnXvLw8SkpK6O3tvWTrrJk0KLfbTUFBwRx1/XyI6UwCUGVl5UeOO+Nf6fF4zllNjcfjtLa2snz58nmvdzZeOr6PV6MDtPldCMBGWzntU56sn+hik4PTmXlQs1xNpdbJsckh4qncV9GsUjCdiFBnyMMTjKGVKWj354REKyx5DIQ9WEQ1HYFpFqqNnIn5so9XGawYFAp6fFN4IhEMciXTqVwSVI3BTjIpcsaXI3mVJhPdAS8OmQqn2oSQgmZfrr230pFPf9BHidpE87iLJTYnxz05gr3E6kQuEWgZdREXRcoNJnozqn+jQkmt0Ubj+Hi2YisVBJISEbNSRZnawCn3BFKpQGiW3VSt1YpSIqN1zEVKhHKLkZ6p9HlWGM3YFWoOj4zyL7fdzpZZ1dHBwUGkUulFv/N//dd/zZYtW7jnnnsuuN8F8Ltfg0uEQbCI91U8xtNd37vqrzU56qXjWDftR7o4fbiTjmM9czxIIT3zWbGkNE1W11RRu7aK/AXOa/5DH5wOceDVY3z4y4OceL81W0mVyaUs31qfFU7pTNdO8DPtCbD7xUO8+/ReOk70ZrcXVDi59dGb2ProTeSVXZ7by9XAtCfAzhcP8/bTe+k7nevu1K6p4M5Pb2DjvStu6ISpeCzBwXdP8uZzB+dUURfUFnLXY+t+54uaQSKR5MDuM+x4+TjNx/uy22sXF7H9wRVsuqUWhfLyq+k3LDGNRCK0tbWxYsWK7DaXy0VnZ+e8o0Dh/HGgAKOjo/T29lJfX3/BlKH5WFedK6d+BuFwmNOnT8+LqM3YXc203WH+xHgGiUSClpYWdDodarWaVCo1pyU7X2I6H/HL2dVUlUqF2WxmfHz8ksVep6dcfPfMQcb8E/Qn/NQanEyFE9hU2jmzmotNDoYiHiq1dprdE+jlSiYTc6uZyyxOpiJxujIkbJHZypnpdJvcrFCxxJTHvrEh4hkSt8Rsp2V6HAlQLtWikKg4FZ7Vyleq8CbCVOmtSBISzng8qJVSQsncd3eZ3UkqIdKSaZPX2+20eMezr7nUkseBkSFimR/MFZkKql6uoNpghTgcn8yJoapMZsaiARYZbJxypc9zLJo7T7taQ6nBSNu4m2giTVZlcgmxVAqzTE6+QsNIKMB0IkdUi4x6ZBIJWkHOqfEJKq1mOn1e/uOuu1hTkLt56+/vR6VSXbRK/81vfpOHH36Ym2+++YL7XQC/I6aXCINgEbeXfYqnO797zVXgyWSKgdPDtB/uzIqu+k8NZtt/M3CW2lh2Sz3LblnM0pvrMDtN13SdPvc0+189yp4XD9G861R2fXKFjFV3LuWWT61nzd3Lr2mlt69tiPef28/O5w8wOZq7tizZVMPtn93EhvtXotJcvvvLlYQoipw50cvbT+9j98tHCWcSpjQ6FVs+sZptj2+kasmlpwJeTxjqcfHWc4d4/6WjTGdGL9RaJTfft5y7Pr3+d+lSGQz0udnx6+O892YLocz3wGBUc+c9S7n7gRXkF1z6DPV1T0xTqdQ5baESiQQnTpxg9erVpFIpurq6mJ6epqGh4ZI8QEdGRojFYnOM4lOpFGfOnCESiVBfX3/BUQC4MLm9UE79DKLRKK2trRclakNDQwwODrJkyZI5vqt9fX3IZLJ5zZjOpEqVlpZSUFBwzjjU+RBTr9fLxMTERYnpbMxUU91uNwMDA6jV6nnNpvYGPHz/zCE+GOtGBBrUZgKCSFdGJLTSWpCdB1VLZay0FHHMPUYgnp4xdaq0uDOeoxU6C9FADI8Yz8ZuAlSbLIxGAizU2midcFNnsXNiVrVyhS2fpJhkbDrEaChEpc5I96wZ00qNEZlETrsnVyGVywViYgqHSkuRysBEKJRV8APU2mwMhaZYqLPRNu6m1mbn+ETuNVfnFZASRc6MTxKIx1nqcNLoSRNTrVzOCls+jeNjBGLp8yjS6xkMTWNQKKk2WhmanGY8FsweTwAsOg0Fcg2n3ZMkRdBrFEzH0u9TvlKFTpDS5c89p9RspH96iqfvvY/6WelgPT09GAwGbLYLp4V87Wtf4+tf//pFraIugN8R00uEVekQV6Ru4YvfeYyH/+zej3s5hPzhrDvA6cOdnNzXjt8z90axtK6IpVsWs2RLLQ0ba66pkt7rmmL/q8eyJHXm90yjV7P+3hVs/uQ6lm+tv2bzlMlkisadJ3n/F/vZ/9oxYhl/SY1exaZPrOH2z2ykdu1H46U/LoQDEfa+dpy3n9nHqSM539DKhhK2fXYjWz6xCq3h2nrMXknEonEOvNPKG88e4OSRnuz26qUl3PXYejZtX4rqOpoN/rgQDsfY9V4bO359jK4z6d8pQYDV66ou2XLqhiWmoihy8OBBVqxYQUtLC2az+SMm/PPB2bZTkUiElpYWbDYb5eXzy2g+O1J0BjMJU0ajkcrK888MxeNxGhsbz/vjPUOUo9HoOWdmBwYGEASB4uILW5DMOArMTpU619rnS0zdbvdFXRHOhZmK7ZIlSz5STbVardnZ1OHQNP/efoSdri6CyTgLdBbkooxQOEz/rHnOlbYCTk6NsdiQR6fXS7HWSOtUrkWep9ahUUjQoOLkZLoqqlFIstVMjUzOCks+J1zjBDLftRWOvCwxXWxyYJSo2Tc+y3DfbOO030Wp1ohWVOAOhHAn5rYwrVoVpRozLWMuEimRAoOWkVB63Xq5gmW2PI6PjhKKp9exLM/JiYkxNDIZtSY7MlHC4bFcu2yZM4/2KTfFUhVjkQTFegNtvtz4QaXJjEmlon1sglA8gU2jwZ0hpja1hnKdiaaxMRKzqldyhYQCnR6DREnbqBuTVoknmh5JEIBFeh1TsST/3+YNLCstyd48dHZ2YrPZLmqR9sQTT/B//s//uagR/wVwffz6XiYEQXhLFMVt1/I1axbWisW9DciVcr5/+G8oq7u+rIlSqRTdTf2c+KCFpg/bOLmvnWg4ln1cEATK60tYsqWWFVsbaNhce80qhZOjXva8eIidzx/gzNEcydKbtdx0/ypu/tRNLNlcc82sk4JTIXa9eIj3ntnL6Vmkr6DCydbHbuK2z2y8rlTyfe0jvP30Xt5/4WA2cECplrPxvpVs++xGaldf+m/09YT+zjHe+sVB3n/pKEF/+jqp1au49cGV3PXp9ZReoRnLGxmiKNLeNsyOl46x+4NTcyyn7r5/OXfesxTTRfxxb1hiCulUGalUSnV19UUrN+fDbNspr9fLqVOn5rTJ54NzeapOT09z8uRJKisr5+TQnwvJZJKjR4+ydu3ajzwWi8Vobm7GarWelyhfqGI7g5lwgSVLlswRJI2OjhIOh+fY/syHmPp8Plwu129ETGePLsxUUz0eD93jo7zs7WNv2E1CFKkyWVAKclon0ySsTKXJElOZIGGjo5SWCRcTGeFSg8VJy1T6jq1YY6BQaeSweygrXAJQyQUQBBYbnHRM+rBr1HT5c9XO5fY8oqkEkUiKHp+PFc58jk3mSOIKWx6JZIoWlwsQKNDqGMnEm5rkSgrlas5MT5OY9e136NUE43FK5RqGghEK9Lo5M6grMnPH3RM+piJRVuTnccyVJscamYw1eQWcGB1nOpr+EU+PArjQyxUsMtmIROK0eXKq/XydjpiQpFRr5OSIG5VUxnQqmn283GhEK1dwajT3HLVaRjiRYLHdzpQ/QigeZzIc4f+tX4E6EUelUmGxWPD5fJSUlFww7hbSSU7/+Z//edGbpgvguv8VEwThfDM4AvC6KIrXVBmycuVK8dFlX+Sdn+3Ckmfi/779reuOnM5GLBrnzNEumj5so2X3KU4d6iQezV3zFSo5S7bUsfrOpazetoz8BZcu8rwcDHeOsutXh9j9q0P0teVuSm1FFm791E3c8uhNlNdfu5SkgfZh3n1m35xWvyAILL91MXc+sZm1dy+7bmJFY5E4+3ac4J1n99G870x2e+miArY9vpFbH16L/hrO8l5pRMIx9rzexJu/OMCZpoHs9vo1Fdz9mfWsv/3aVdivZ5zLckoul7L51lrueWgVi2oLzskzrntiOkOSzt7W19dHV1cXGzdu/I1SiTweD2NjY2g0GsbHx2loaLhgZOK54HK5mJqayra152NTNRuiKHLo0CHWrVs3Z/v09DStra0sXLjwglZU52rHz2AmoSqZTFJXV/eRtJ5zkWpRFC+aqjU1NcXY2BjV1dUXPb+zcS5iCuCJhvllz0l+0n2cSDJBnlKLPiWnNzpFfBY/KVVpGE4EaTDmMTwVpEhn5PgsT9ElFifuWBCHXEez20W+Rs/IrPhRuSCw1JZH16QPbyRN1BaYjXT70xf7GpMNs1TNwbHcMVc68zk6OUKeSotJlKGUqeZYPxXrDPiTUSr1Fk663KRSIrFZlv4qiYQKlZr+YIRQZoa00mKmcyqt7K+z2BETIo3uXKV3RX4ebR43dWY73W4vlRYzx1y5GdOlTidSiUDHmIdgLE61zUq7L00y7RoNC00WjgyOZCukVrWaiXiIYq0ODVKGpkKExdwMrFQQWJxvZ3I6zLAvTbL1GgXT0RjvfP4xbBo14XAYj8eTnaueiX81m83nHHm566672LFjxyX7687CjUBMk8Buzr3WtaIoXlPPmZUrV4p7PtzL/3rg72nefQqj3cDfvfPfrymJ+k0Qi8Q4daiTpg9PcuydZjqO98x5vLAqj5W3LWHF7Q0s2Vx3TcQ2fW1D7PrlAT54bj/jfbkuRfniYm7+1E3c/Mg6nKXXRqQ00+p/95m9HHjteFbVb7DquPnhddz26Y1ULr1+vDhHely8/ew+3nvuAF5X+jqsUMnZeO8K7vzMBhavu37GEi4H3aeGefMXB/nwlePZWVuTVccdj6zhzk+tJa/4+qlof1yYsZza8dIxjhzoZIYyVi3K554HV7LltjpUqtxN1Q1HTGcU3Wq1Go/Hw0033fSbHB6Px8PJkyex2WwsWrToslo0k5OT2bZ2R0cH4XB4XrOps3HgwAHWr1+f/f8LiaXOxoVGCS5WbR0fH8fv989R119rYjoVi/BUZzPPdrdgVapJCAnyFAaaJtL+nGqFhEgq3Q4QgFqZFlcyhSuavgiscuTNsVmq1tnYOzqQtVkq0uoZik4jl0hYbHTQ4/IQIJm1TAIoMxlQSmWIMej0eFnidNI0S2i0Lq+QcCKRVa832B00Z4RLRoWSBrODY+OjRDIiI7VMRiiVQCOTU2e20eX2IEoEpmO5imWxRoVBoWLYH2IqGmOx007rRPpHTyOTsTqvgKbRcaYz5Hl5QR7HXGNopFJqrQ4kSYFjY7mZ1Fq7DXc0SLHWwMlhFyUmY1bcBbDYYUdMpTg9lranMigVTCViSCUC9XYHnukQg/659j9Oo5ZCnZ7/d89t6GbF7s64S8RiMTweD16vF4lEgsViwWKxoNfrEQSBzZs3c/jw4XPOVs9GJBJh06ZNRKNREokEDz30EN/+9rfJeJi+AJQBfcDDoih6ATLJT08CSeAPRVF854IvcpUgCMJJ4AFRFDvP8digKIrXtFw5k/wUDcf49kP/yLF3mzFY9Xz7pT+j7qZL/3v9uOEd93H0nWaOvtPE8XdbCPhyM9AyuZS6mxax9u7lrL9vFfnlF+5O/aZIpVK0Hejgg1/sY+9LuZQkgLr1C7n1sQ1s/uTaa2Y/Ne0J8OELB3j7qT30tOYqd+WLi7nzic3c8qn11ySedT6IxxIceruZN5/aQ+Pu09ntRZVOtj2+ids+te66WevlIOiP8OErx3nj2f30ZWcsBVZsrubuT9/EqptrbrhYz6uB0REvb7x8nLd3NDE9le5y6vQqbr97Cfc8uJLCYsuNRUxn2uMzdktnk7lLRTAYpLGxEZlMds42+nzh9XoZGhoiEolgsVhYsGDBJd8BzpzLfMRSZ+NcVU+/309LSwtVVVUXHCU4u9oL8yOm09PTjIyMsGjRogvudy7MENOF9Yt5pa+dH7QfwR+P4VBpqdJZOOgankMa1QoJ0VSSepMTbyCKkEjQH8uZ4y/S6JkQoxSrTbS6J6i3Omjy5khlic6ATaNh0OPHHU4/b7a/Z7XJilYip3FWRnyDw0GzZ5w8jY4CpQ4ZEo66Zlk3ORz0BnwsNFg4NT5JnlY3J+rTqlJTZjTR7fZkW+9alZxAPI5SIqHe5sQbDGetmQDK9TpGo2FqLTZ63D4WWMw0jufOY3VhAQlR5NTQONGUyLKCPE5kHs/Taak2WzjQP0Qyw8irbBbOeD0stFiQpiAcTTDgz1WO7VoNhSY9Y54ALn8QjVxOIBXPPlaiN9A25iKWSHHwT76AbNZNW1NTE7W1tXOEhjMk1ePxMDo6yg9+8AMmJibYsWPHee3YZiCKIsFgEJ1ORzweZ8OGDfzLv/wL69at+3vAMyv1ySyK4p8LglALPEcu9el9YOHHkfokCMJDQKsoimfO8dj9oii+ci3XM0NMIV19/N8P/z+OvNWIRCrhS//30zz4R3fdsBWqZCLJmaPdHHu3mWPvNnPmaDezf38W1Jew/r5VrN2+gsplZVd1FjQeS3DsnWZ2Pr+fQ6+fyM7JyhUy1m5fztbPbGTVHUuQya9NS7erqY/3ntnHzl8eYDrjMSlXytlw30rufGIzDZsur/ByNTDa5+adZ/fx7i8O4BlPi1jlShkb713BXU9sou468nG9VIiiyOkTfbz57EH2vNGUrWg7Cs3c9dg6bv/kGsz2axuTez0iFk2w+4M2dvz6OO1tue7ktnuX8Y2/uufGIKYzivSGhga02vRsysGDB1mzZs1l/bGNj4/T1dVFVVUVw8PDl232DulWent7Ow0NDfNOfzobBw4cYNWqVR8x358Pzq56zkSdzqfaeq5o16tNTKcjYf5p3/u8F3BTYTAzGJ6iVGOi2TVOvkbPQGRqzv7L7Hl4AxH6p9OkqkStzhJTu0pDjd7CgdGRLJmt1hk5E/EhEyQ0WJzEY0laPe65i5DCQqMFaUrCmYlJigwGBgM50ra2oIBIPMnJMRdJEVbm53PUla7K6mUyVjoLODwySjgjXKowm+nye9DI5NSabbh8QYZCc6uPRo2SUq2BXrePQDxBgUnHcCC9j04up8Fmo2XUTSgzLF5tMdA+NYVJpaLSaEIiSjg6kiPHywvyGAsFcag0nBwZZ7HTQbMrN16wuqgAXyhCpys9x1puMdEz5UMukbDIYiaRgDMTk9n9zWoVCqWMPI2WtiEXcomUsJhAJpFw8E++MOdcjh8/ztKlSz8yGjKDVCrF0aNH+drXvkZJSQk+n4/vfOc7bN269Zz7z0YoFGLDhg3827/9G2vXru0AtoiiOCoIQj6wSxTF6ky1FFEUvwMgCMI7wF+Lonjwoi/wW47ZxBTSBOpn//MFfvWPOwC45dEN/MkPv3xdpQxdLqY9AY6/28yB145y9O3mOR6qlnwza7YtY+325Sy9ZTFq7dVr+YcDEfa/eoz3ntlD0862LFk22vRsemgttzx60zVT0seicQ6/2chbP9vNiQ9OZteSV2bn9s9uvK4EU8lEkiPvtvLGU7s5vjPniFBSnc9dj29Kz6JeRChzPWPaG+S9F4/yxrP7Ge1PX2tlcinr76jn7k+vp37NjS0Gu1LoaB9lx4tH+fC9Nj77xU186vEN1zcxTaVSnDhxAlEUPzIjefToUZYuXTqvquLs43V2dhIIBGhoaCCVSs3Lqul8GB4epre3F41Gc9mG8QB79+5FKpV+xHx/PpipelZWVtLb28vk5CRLliyZl23WxMQEk5OTc1ry8xE/+f1+hoaGLhgJezZCiTiv9Lbzb23H8MYiWJVqGswO9o/m/EKLdYYsMa03OwiE4oyGAkRTuUJYsVpNSBAp05poGXWxxOHk2CybpcVmK4lkHJc/jDeeoFCjZWiWv2eJUoNGpaFjMkfKCgx6hgN+8rU68lQ6kolUVmwF6XnP7ikvpWodHW4vNXY7JyZyFdZFFgtapYLOcS+BaAybRo07Q561cjk1ZhudE5NMzxJ1OAwaQok41SYrHWOT5Bv1dM6ym1rqsBGJRunx+EmkoNZh5qQnXZUtMRooNxrZ1zuYnddZUuCkaXycOoeNaCSBSiqnzZ07h2q7Fa1STvfoBP5oghKzIUf2TQbytTqODoxkj2dUKQmlEiwrcPK9h++a81kePXqUlStXXvA7IooiGzdupLm5mVAoRCwWu+CsaTKZZMWKFXR1dfG1r32Nv/3bv0UQhClRFLNPEgTBK4qiWRCE7wGHRFF8JrP9x8Bboii+eN4XuAYQBOFuoA7IsiBRFP/3tVzD2cR0BnteOsQ/PPlvRIJRFtSX8Gc//iqVy8rPcYQbE7FonOZdbRx49RiH3zzBxPAs6zalnJV3LGHjg2tYt30FWuPVsy9yD02y87n9vP/MXvpP5ypB+Qsc3P74Zm777CYc12jucHxggnef3sO7T+/FNZi+3gmCwIqt9dz1hS2s2bb0mlV0L4ax/gneenov7/5if3YWVa6Usem+ldz9+c3UrLz0TuT1glQqxYm9Z3jjmQMc2ZnzzS2pcrL9MzdxywMrf2fcD0xPhZDKpOh0quubmM7kslut1o98KU+cOEFNTc28xUozM5ezraUSiQTHjx9nzZo1l7SuVCpFe3s7sViMiooKurq6Lrvq6nK5aGpqYt26dRc08j8fJiYmcLvdxGIx5HL5Jc3KzszHzq58iqJIOBxGFEUEQUAikXzkeJdCTMOJOC90tvHT002UGEz0B73YRTl94TB1VgeNkzlSWawzYFApCYYT9PnSBFWZaeVDukJaIJFzetqfTXJakZfHsYlRZJJ0hVSFdI5waYaYFivUyEUpQ4EwCenc7O86e9qeqS1TIa1z2DmZIaYWlYoGm4PDg8NZo/pl+Xkcd49hUChYaLKSiCVpmUUCnVotQTGWJZ3BaJzUrOu/SaVkkc3CyWE3oUyrZ4HdTLfXi0OroUinJxFPcXI8d8wauwlPJIIyKTLoj9KQZ6PZnRY7SQSB9aVFDHimGPSkL+r1BQ5axl3olQoWWi2k4imaR3MV1QVWM0hBJUg5PTxBoUnPUGbGVC2X0ZDvoGvMi1QQeP2PHpvzfh09epRVq1Zd8HOfTUwvBT6fjwceeIDvfve71NfXn4+Yfh84eBYxfVMUxZcu6cWuIARB+HdAA9wM/CfwEHBEFMUnr+U6zkdMAXpPDvLth/6Bke5xpDIpn/7vD/Kpb9533ZCTKwVRFOlp7ufgG8c5/MaJOdZPcoWM5bc1sPGB1ay5ezlG24WdJX7TNXzw/H4+fP4AkyM5Jf3SW+q47TObuOn+lVe1kjuDZDJF04dtvP3z3RzccSLbXjY7jNz2mQ3c+bktFFZcG7eDiyERz8yi/nwvjbtOZ6uo5XVF3P3EJm7+5Bq0+hs3w9417OXt5w/x9guH8Loz11utklseWMHdn15P+aL5BeX8NuO6nzGFNKE812s0NzdTUVExL+X7TGLS2Qr3VCrF4cOHP6KIvxCi0SjNzc3Y7XbKysqIRqMfSaGaD0RRpKenB4/HQzQaZcOGDZf0/BmMjo7S3t5OZWXlJdvyeDwexsfHqampQRRFUqkUqVQq+9+z/w0glUoRBIFQKMTAwMAF/SnDiTgvdp/iP9ua8ETDWJVqFlvsHBodJppRpi935HEiQ0wXmx2oRBnH3GNzjqNQCBiVKkrURlrHXOQpVQxGczOmK/PzSYopRrwBXMFQ1g80+7gjD380RudE+odBKghZYpqv1mBXanEHw4yFckKGWruN8XCQMp2JthEXdXl2TozNOmZBPingzGjaM7TGbuWUJ12RMKmU1FntNA+PZT1K5RIJUUkKs1JJoUpNj8ePSiHDF8mJoZYUORFS0DbsIpkSqclLJzoBLLRZsGvUHOjNEe5FViMdU9Ms0GvxhxLkG/U0zSKyy4vzQIQzIxOEYwnq8u2cdLkzxzNjUWk43Jc7XpnVhCcaptJioXN4EqNayfC0nyKzgRd//+E5n8l8iGk0GmXbtm0cPXr0gvudC9/+9rfRarX8t//2326YVr4gCC2iKDbM+rcO+LUoirdfy3VciJgChIMRfvJXz/HqD9JasarlC/iLn3+d4urf3h/EyREPe399hH0vH6Z1b3v2eiaRCCzesIj1965iwwOrcZRcnu3gxZBMpmj8oJV3ntqdVtJnOidqnYoND6xm66c3sGRL7TWZAZ2e9PP+c/t566e7GGjPWeA1bKrhjs9uYuMDq66bMY/RPjdv/Xwv7zy7L5thr9Iq2fLAKu56YhMLl5V9vAv8DZCIJzn4bis7nt5P6+HcjVPdynLu/sx6brpzyW8U63kj44YmpidPnqS4uDhrFn/OFxdFBgcHGR4e/khi0gwuRUQ1Q3Bne6fOVGIv9kM9G4lEgpMnT6JUKqmurubQoUOXJeTy+XzZeNHLGSXwer2Mjo5SU1OTJaWCIMypTs8Q02QySSrTcg8GgwwNDVFb+9GLaSge54WONn52qgWVQko0laBMa+bkuItam53GWWr35Y484mKSQChGv2+aYoOB/mBu1tOp0VKs02dN6gGK1GoGoyEUEin11nSl88gsdfoMMa212EhGRVJJMWsFBaCQSMgz6TAICk6NTSAiYFRJ8WWib51aLVVmC0cHRojPEOgCJ8fHxzLEUoNGoeLoaO48ah02xkJBygxGTo+4sWs1cxTuhQY9dp2GtuHceehUCvyxGKUmI0a5Am8owvB07jnVznSXIBlL0j3upb7ISfNYenxAKZOytqSQ0yNuJjJzdQutetqn/FjVSgo0OhRSOY0juTXWFzpIAR7PNOPTERYV5IivQ69loc3Csd5hYpmI0lKrkeFpPxurSvibT8ydDZ0PMfV4PDzxxBPs2rXrgvtBetZZLpdjMpkIh8Pcfvvt/Pmf/zn33HPPPwCTs8RPFlEUvykIQh3wC3Lipw+Aqo9D/DQDQRAOi6K4RhCEQ8CDwCRwUhTF+cejXQFcjJjOoHFnK//4pR/iGphAoZLzyDfv4+E/u/e6ISVXC54xH/tfOcKB147R9GEbyUTuK1O3vpqbH1nPxk+suWoxqX5vgN2/OsR7T+/h9OGu7HZnmZ07Ht/M7Y9vumoEeTZEUeTUoU7e+tlu9rx0OCve0pk0bH10A3c9eTOlNddH7GYsGufAG4288bM9tB7oyG5fuKyM7Z/fzKbrKK71ctDfMcYbz+zn/ZePEQ7kLKfu/NRa7npsHfbLiPW8kXFDENN4PJ4lRLPR3t6O3W4/rxl+Mpnk1KlTANTW1p5XqDFfYjo4OMjQ0NBHCO6FDPLPhZlY0JKSkqxa+cCBA6xbt+6SZmhGRkbo7++nvLycyclJ6urq5v3cGfh8PoaHh1m0aNE5Sem5EA6HaW1tJT8/f071OZJM8ELnaZ4+3YonGsGm0rDQbOb46Fg2/32Z08mJyTEEoN7qwCAoOTA6lD3GDDHN1+ooUOloHRlHkEuyM6gApRoNFp2OAc80nnCE5fl5HJ/l77mxqJjR6QA9kz4AKixmuqbT82ZlBgPKuEjHtJ/ZtpNWvQqZIGAWZHROTlOs19IfylVl1xYXEI0ns8RyWVEexzMVVKdOS7XFyuH+oSyRLTEb6Z+aosigx6ZSM+CewpvIVUcBFjltSFLQPpImh3lmLaP+IBJBoM5pR5aC5uFc672uyEGPx0uxWo1rOkq53UzjcO681y4oIhCOcmrIjShCpUVL53QwLXZyWNBKFRzpy1VI6grtTMWimJQqTg+4qMqz0e6aScaSs7TIScfoBPlGA//xpbnRlvMhpgMDA3zzm9/kjTfeuOB+AC0tLTzxxBPZm5+HH36Y//k//yeCINiAXwIlwADwSVEUPQCCIHwL+AKQAP5YFMW3LvpCVxGCIPwP4LvArcD3SV/7/lMUxf9xLdcxX2IKEJwO8YM//hnvPb0HSJOjP/juF1h95+WLQW8kBHxBjrzVyP5Xj3LkzcYsOZNIBBo217L5k+tYf98qzI7zFz9+Ewx1jPLBL/bx/rN7Ge9P/+0JgsCyWxdzx+ObWX/fymtyoxCcCrH7pcO89bPdc3xj69YvZNvntrDxgVXXDfEb7Bzlzaf28t7zB7LpUjqjhts+tY67PreJ4qprmmdxRREKRNj12gl2/Hw/fWfSxRaJRGDtbYvZ/pmbWHrTje35Ol/c0MS0s7MTo9F4TjukGfJXVFREUVHRBT/MixHTVCrFqVOnSKVS5zSpn4lHnQ+5nYkFraurmyMEuRSHAVEU6ejoIBQKUV9fTzAYZHBwkMWLF1/0uWfD5/PR2dlJbW0tSqXyol/6QCDAyZMnqaqqwmq1kkql8EejPHuqlVe7OhgMT2NXayjRGDjpmsCp085Ruy/Lc5IUU4xPTuOKxFjqdNI0q+1ea7WhkEhpHXVlfUhlijQx1cjTiveJSR/9kZz6dnl+Ho3ucRbb7PgDUSxq9RzrpwqLGUEKipSE9vFJ1FIpQXJVkhKjAbtaTdPQeFb4U2Ez0eXzYVcqMEpkKCQy2n2zzqMoj/FQEJtKTduwizqnI5MClUZDvoNUUuTUcLp1blarmIynI+wqTQYkooyeSQ+z0kHJM+tw6rS4vQHGfEHK7CZ6PT4ALBo1i5xWmvpHCcfSa28ocdI8PM5ChxVpCjRyOScGZ40blBUQTyUYGPUxFY6xwKyhezp9Ia+wm8jX69nfMStmtcjOqD9AmdlI19AkhVYDZ8YnWVFewL9+Lid+EkWRY8eOXZSYnj59mn/8x3/khRdeuOB+F8ENcxUWBEEpimJ05r9JC6AiM9uuFS6FmM6gZe9pfvBHP816YW799Ea+9LefvmpVw+sRIX+YA68dY/evDnL83WYSGXcMiUSgfmMNGx9cw+aH112VmdRUKkXjzjbefWo3+145mm31awxqNj+0ljs+t5maNdeGlHQ19fHGTz7kwxcOEg5kYjeNGm55ZB3bPn8zFQ3XR1BDNBxj9yvHeOOnuzhzoi+7veGmhdz9uc2sv3vZDZu+JIoibUd7ef2Z/ex7q5lkpotVtMDB3Z9Zz9ZPrEJnuHHnbC+GG5qY9vT0oFaryc+fe4fkdrvp6OiYkwl/IVyImEYiEZqbm8nLy6OkpOS8F4aLkVtRFBkYGGBsbOwjsaAAhw8fZsWKFRc15U8kEjQ3N2MwGKisTHu9+f1+ent7aWhouMiZfnRNsViMgYEBJicnEUURq9WK3W7PGqTPxsTEBF1dXSxevBidTsdUJMIzp1p5pq2V6ViUMoMRs0pN67gr66VZZNAxGPQjFQTqrQ5UgoTDs1rgM8S01GDEJFUxFYrSH5hrF2XSqqgwmOka9+CPxsjXKRmOpC+YUkFgQ3Ex3RNeRqbSM0iz/T1rbFbMciWHBnOVQo1MSkBMUmE2oxaknB6dwKhRzpn3XF1SQDgW59RIuvpY57ByMmOtlK9WUmjQc3wkF+U5IzSqtlmRJCGZSNHlyY0P2HQanCYdPl+QEV8QAUhl7m80CjmL7FbcUwGGfbPcA2xGYqkkTo2W04NuFjjNtI+n1yARBNZXFDHs8dPv8gGwpCyPxsExLFo1pWYjMgSO9+VGHJaWOonE43h9Adz+GAusWroyBuGFZj3lNjNHOgdJJNOfXW2xnQHPFLcvruAb9+SCLM6X3HU2jh07xtNPP81PfvKTC+53EdxIxPSEKIrLL7btauNyiCmkrXt+/a9v8tT/+iWxSBy1TsWn/vw+PvHHd6NQ/Xa398+G3xvgwKvH2Pvrw5x4vyVLUqUyKavvWsbWT29kzV3Lrsr74vcG+PD5A7z39B7OHMtVL0tri9j2hZvZ+ukNGKxX3wczHIjw4a8O8vbPds9ZR82aSrZ/8VY2PbjquvledDb388ZPd/Phr48QDaWr3maHgW2f3ci2Jzbd0K1wj3uat587xJvPHWRyLCMIViu49YEVbP/sTb+VYqkbmpgODAwgkUgoKipKv5Ao0t3djdfrnbddEpyfVHq9Xk6dOkVNTQ0Wi+WyjgG5kQJBEM45kwnp1ujF1hwKhWhqaqK8vHwOGQ8EAnR3d7NkyZILrvHsNZ3duo/H40xMTDAxMUEgEMBgMGCz2bBarYyOjmYjW4OpJE+1tNA4PsYx1whFegN2pYaeCS/TybnxseVmA0aFijFfAFcgxJJ8B43uXGVxXWEh/kiMU2NuQKDYaGAgQ0zNKhULDCa63JP4Y7nozHydEncsxmK7gzFPgHyDjsaxXIV0eUEeMTFJKBSjb3KKKpuFDm/OOqZCr0OqUNA5ntumUyvwR2MstFmQpQTiyRTds4hlQ6GTSCJBIhynb3KaWqeZk5MZlS2wqtDJRDBCnzu99iqHhY5JDwqplFqnjVgkwWlXzp5KLpWgVStYYDHROZxW7eu0CvyR9PtXbjNhUato7BvLVnEr8yz0e3yUmXQEI0ksWg1tIzmx05rKQsLRBKcHXSSSIkvL8mgcGEMll7Eoz4ZKIuVIT07s1FDiZCochniSgYkglQ49nZPpGVenUUuV08qJrmHWLyrlrx+7Jfu8aDRKe3v7Rb9vu3fv5t133+Vf//VfL7jfRXDdE1NBEPKAQuAZ4DFyazYA/y6K4qWb/f4GuFxiOoPhzlF++M1nOPT6cSBtc/R7//A4a7ev+C/RRjwbwakQB18/zq4XDnDs3WZSmXEdjUHNTfetYssj61l2y+Kr4mwwcHqYd3++h3ef3o1vxkJJIWP9vSu543ObWXZr/TVJE+ppHeCtn+3i/V/sJzSd7lbpLVq2PrqBbZ/fct3MoganQ3zwq8O8/pNdDMy0wqUS1t65hO2f38zS6yhk4FKRTCQ59H4bO57eT/OBXMhc/ZoK7vnsTay7vR6Z/NzjijcabghimkgkSCY/qmmYnREfi8VobW29ZHN6+GgbfUYwNTIywtKlSz9S3TwXzkdM51txPX78OHV1ded9rZkRgHNVgUOhEB0dHSxduvSi65ytvL/QPKkoikxNTeF2uxkZyRjL5zl5a3ycV7o6CScSrMzPJ5ZIcnLchSimW8nBTHKQSiZjsdWOPxylc3KWN2e+kxPucUpUanRyNWqpfA5RLTYaCKfilOgMnBpxE0ukkMiErHm+Wi6jUqthOBjDG05XTZcW5tE4NpaO1nQ40EpkHBzIEbCFdgsdHg91TjvBQBRPIMR0Mkd0BWBJoRN/MEavO002yx0mejw+JIJArcOGVirnaH+u6rqsJI+WcRe1DhvuyQBGhYwz3lyrv9phQaNS0DfmwxeKUGDSM5wRQ9m1akrNJlqHxokncjdcKpWMMquJZCxF16gHh1nL+HS6oqlXKagvcnBqwMV0Zg5uUZGN0yMTVDktyEQJcomE1lkzqSsrCkgmU/QMe/CHYyxdkEdj/xgSAeoKHegUcg515N6nxSV2vKEQ8qTIwESIqjwjHa4ptq2o4i8/uTm7XygUoru7m/r6+nN+d2bwxhtv0NzczHe+850L7ncRXPdMSBCEJ4DPASuB2YxwGnhKFMVfX8v1/KbEdAaNO1v5wZ88Rf+p9Az4yjuW8MW/eYwFDaW/8bFvVHjGfOx8bj87n9tHV2NvdnvaSH8dtz++mYVXwW8zHktw6PUTvPWTnRx/rzUrBrYVWbjj8c1s+8LN10QwFQlG+fBXB3n9RzvpaurLbq9bv5DtX7yFDfevQqGcv6/41YIoirQe6OD1n+xm/xsnsq3wgnIHd39+M7c/th696cY17u/vHOONp/fz/q+PEQ6mO30Wh4G7HlvHtkfXYXFcHQu0a4UbmpjORHHa7XZaW1uprKzE6bx0L7YjR46wbNky5HL5nOpmTU3NeQVTZ+NcxHRGwT+fimtjYyOLFi06pyfrwMAAo6OjLF26FKXyowPo4XCY06dPX7S1Ol9SOoNEIkFraysRuYK3xsfp8UzS5J2kUKlCLZEjk8g5M50jnWqZDIlMQo3FRve4h6lIlBKLgf6pXGt+tdPOiC/ASGZ2qSHfQVOGmBbodJTpDRwdGs2OAgBIZKBVKFloNtM15kErFxgJ59ruy4vyEIGRyWnc/hDLivI4kRkXkEkkrC4uoH/Sx0imTW5QyJlKxpFKBBY7HHinwnjCoay1E0CF04xOoWDCG2TUF2BxkYPWjAeoWiZlVVkhbUMuPJnzWFLspGlkHItGRb5GTSwco2sqZz9VbDEgk0uRJZL0uKbRKRVMxzMRhlIJNfl2vP4QQ5M5Vb7FqEYqkVBo0NMx6MZu1jEwmX4vpRKB1RWFjEwGGMi08utKHJwcdlFo1mPTahBEaOmfVUmuKCCZStE3OIE/kmDJDFGVCNQU2jEoFRxuzwnRaoqt+MMRahxa7ltZjsViwWKxkEwmL2oVBvDLX/6SsbExvvWtb11wv4vguiemMxAE4RMfp4/qDK4UMYW0p+SOf3+Pn3/7VwSn0vPJmx9ex+f++mEKb2CRyZXAUMcIu355kA9f2M/gLNul0toibvvsJm59bAPWggtf9y8HroEJ3ntmL+/+fDejPelrkkQisOrOpWz7ws2suWsZUtnVr5x1Nvby5k93zZlFNdkN3PHEZu76/Bbyyi4vBfFKY3LMxzvP7uetn+/BPZwuPCjVcm7+xBruefJmKuovzWLxekLQH2Hny8fY8fR+BrvS13qZXMqGbQ3c8/gGapaX3ZBdjhuamLrdbgYGBojFYnOiSi8VM9VKURRpbm6moKCA4uLiS/pAzyamMxGqS5cunVcAQFNTE1VVVXPOIZVKcfr0aZLJ5DlFVzOIRCIX9VGdsXuaMc2fj/L+7cNH2BMIsGtomEQqxebSEsb8QTrcmYhLvY6ecJpIpY3mLZxxewjGculGpRYDg9PTLLY7mPBMY5DLOTPLEmlpQR7eWAS9TMGpEReFBv0cmyWbRk2JyUD76ASRzJxXnk7JSDiKTqGg2mqBlEjjcI6ALSvK47R7ghq7jSH3FDathtOzUp6sKgUldgvD7mkm/OkfW4VSSjSRRKuQU2234g9F6XbnWvm1hXZGpv3kq1X0T/hZVGCfIzRaXZ5W7Z8ayHiQFtppG3MjAOVmPfJkik5PjqiatSpiYoqFDgsDYz58wQjJWR2mBXYzBpWck/0uZqZY8m16vMEwZWYdk1MxDDol3eO5Na5dWITPH6ZjaBJEWFzmpHVwHIdRS4FRjyBCc+8sq67KAhKpFCPj00xOhVhSkUdT3xhymZRFhTY0chlH24d45OZ6PntrPR6Ph8nJSSKRCIIgUFlZiclkOu/38mc/+xmpVIo/+qM/Oufj88QNc1XNtPT/f0CBKIrbBEGoBdaJovjja7mOK0lMZ+B1TfH8/32F13/4HvFYAplcyr2/fwef/taD6M0X95H+bcaMkf67T+9m5y/2MTWRvn5JJAJLbl7MLZ+6iQ0PrL7iaVOpVIrWve288aMP2PfykewcrCXfxB2Pb+aOz22h4BqY5ocDEXa+cIAd//EBvSfTYkpBEFh5Wz13PXkza+5cek2I8sWQTKY48m4LO378ISd2nc5ur1m1gO2f38LGe1egUH381d7LgSiKtBzqYsfP93Hw3ZPZZKmKukLueXwDW+5dhvI6mQeeD24IYppMJkkkEnO2pVIpmpqaCAQCrF+//qKioQuhqakJh8NBb28vtbW1mM2XPig9Y/ckimI2Eaq+vn7eFdeWlhbKy8uzyU+xWIympqasif+FiOTFfFRFUcy+f/OZrznc3cv3DxzCLxXomZpisd1OKBTDotFwdDQnpllkt+KJhSlQaTk9OoEoQlyS+7gVUimrivLpcXmzLenZ1cxqmxWHRsu+3oHsc4pNBgamp9O+nyo1p4bdpASR2RPG5UYtRq2OzrFJQrEES4qcNI2mialRpWRpgZPG/jECmXnNRXk2Tk1MYFQpKTcacHsCjIbCzIbDpKXQoKdzeIJQNEGR1cBgRoVfYNJTZjFxrHs4awe1NCM0qnJYkIsSVFIpTUM5cry4yIFEKjDpCTLqDVDuMNOdmUk1quTkqxX0e8NEMy0muVRCXBBZlG8jEU3QM+JFpZZlU6HsBg1lDhNtveNEMqr8EqeRYV+AmgIbU74waqWMjtFcBXvNoiL8gShn+tMCrsULnLT2j2PWyCmxWZAg0NSTI6orqgtIJlL0D3uZCkZYUplPU88on7tjOU/cmbvpmZiYYHR0FJVKhc/nQy6XY7VasVgsaDSa7Hf1e9/7Hg6HgyefvHjw0eDgII8//jhjY2NIJBK+/OUv80d/9EcIgmAFXgDKgD7gYVEUvQAZk/0ngSTwh6IovnPRF7qKEAThLeCnwLdEUVwiCIIMaBRF8cIzD1cYV4OYzsA1OMHT336Rd3++G1EU0Vt0PPQnd3Pf1+5EcwOn8VwpJOIJjr7dxHtP7+HQ68ezZFGulLPhgVVse/JWlmyuveJVLK9rivef2ctbP/6Qoc5Zns631HHPV25j7fblVz3da8YX9Y0ff8ieXx/JOgvYCi3c/cVb2PbEZszOq2O7dakY7Bxjx0928f7zBwj509Veo1XHnZ/dyPbPb8ZeeOUr3dcKrmEvbzy7n7efP8x0RtyqM6q581Nr2f6Zm3AWXf/ndkMS03A4TEtLCyaTiWg0eslq9DmLy1g9ASxfvnxe86TnwsGDB1m2bBmtra1YrVbKy8sv6eIzOyzA7/fT0tLykZSq8yEej9PY2Mjq1as/8ti5RE7nw+HBYf7t4GFOjLuRSSSsKymkb8LH8FS6ArCiKD9LTEuMBkoNRg71D2Xb7nKJhJiQQiOTUarRMOILolPKGQ1Fsq+xvCiPeCpFKBynx+1laZFzjnBpSYGTZCKVtVkCEKSQIm1Sb1OpcHmnGAvnRFYNRU7GA0EKtDpOD7moLXDM8fdcUpSuGrQPpWdWLWolk7H0KECx2YBVpeb0iIt4MvdVLbDoUSvkKAUJ7UMTVBfYOD2WVuFLJQLrKosZmpjOttFniKpBraTSZkEiwolZivgKp4WEkEKWSNI77sdh1DLmT180FFIJpWYtvmCcSX/uvZIqJBRZjehkMtr73RgNquzogFGjZFGhjY7BSXyZbQsKLfS7fdQU2vD7o6iVcs4M5ZwD1tYU4ZsO05HxS1xckUdL3zilDhMGlQKpINAyi6iurikiHImzqaGMT9yS+xtzu934/X4WLFgApP8ePR4PHo+HcDiM0WjE5XKxe/duli9fziOPPMLFMDo6yujoKMuXL8fv97NixQpeeeUV6urq/h7wzDLYN4ui+OeZauRz5Az23wcWfswG+0dFUVwlCEKjKIrLMtuaRFFcei3XUV5YIf6/v/oB275w81XzwOxq7OWH/+1pmnenfaINVj2f/NPt3PvVO1Drfpf5DWl1/b5fH2Hn8/tp2X0qOxdaWJXH7U9sYeunN2IvOrcH9+VCFEVa97Xz9k93sXeWab4l38Sdn9vCXU/eck1mUacn/bz7zD7e/MlOhme3mO9fxT1fvpW6dQuvixZzJBjlw5eO8PpPd9Hdmq72SqQS1t+1lHu+sIWGDdXXxTovB7FonD2vN7Hj5/voaMmcW8YT9d4nNtCwtvK6PbcbjpjOiIBqa2tRKBR0dnbOS/RzvuOePHmS6elp6urqLjoHeiHs378fURSprq6eF5k8G6dOnSI/P59YLEZ3dzcNDQ3zilqF9HkcO3aMNWvWZLfNd540JYrs7Orlp8eaaJtwI5dIWOxwMDQ5hVWvod2da4GvKMrHF42iQsqpUTcL7VbOeHKP2zRpUU/H2ATBzN2yQ6NgPBJDJgiU6zSoZQpaZ7XIlxY5aRobp9ZpJxFNEosl58ykAlQ5LchJE0QAh0HFWIbslluM5Ot0HO4ZzqrXl5XmcWJojAU2M1qJDDEp0jaeI2hWjRKLUYcsJeSImxREIW0/VVNgh0SKU8O55ywstDHgmaLUqGXCF6bIZqJ5MEeoV1cWEo0lODPoJhZPUV/qpGVoHKlEYFGBDa1MztGu3BxagUVPJJWkxGyge9CDRIDpWMbcW4Bym55YAobcubEGnV6JTinFqFDQOzqFxahhzJcmt0aNkpoSOx39E/gySVCVxVYG3NNUF1rxekIYdEpOD6QJv1QisLqmmNEJP/2ZDO/FFU5ODbioLrYRCyfRKuW09ozzB4/cxH2bc/OkY2NjRKNRSks/KoJJpVJMTU3xve99jxdffBGdTsdjjz3G3XfffVGx1Gzcd999fP3rX+f222+/kSJJdwGfAN4TRXG5IAhrgb8VRXHzhZ95ZWGUWsU10jswO4089Cd3s/3LW68KWRRFkaYPT/Lzb79I24EzAJgcRj7z3z/BtidvuWE9JK8GxvpcvPOzXbzzs11MDKe7GoIgsPSWxdz22U1seGD1FTewD/iCvPf0Hl7/jw8YPDOSfc2VdzSw7Qu3sPbuZVe9ippKpWj88BQ7/uN9Dr/ZmG0xl9cVc/cXb+aWT92E9jrw4xRFkdNHe3j1RzvZt+N4VixVUp3P9i9sYevD69Dob9wbrvbGfl57ai9738z585ZUObnn8Q3c+sBK1NrrIzxhBjcEMU2lUsRiMXp7e5mYmGDJkiUolcp5zVaeDzMG/MXFxQQCgQsmSF0Mo6Oj2XVczhgApM3IE4kEkUiEpUuXIpfPf9YllUpx+PBh1q1bB+RIaTKZRCKRnJOUxpNJXj/dyVPHm+nz+tDJZZToNAz5I/ijaYJUk2fjlHsCAahz2DEpVezvzRmyV2XU7gUGPXkaLWeG3YTPKlgtdFjQKZT0jfvwhcLU5lk4mZlRlUkEVhY4GZoKMuJNE7Bii5GBqal0+lGenXAoTq/bizjrFErsJrRKOYlokq5RD4uLHbSOZEQAgsC6BYWM+QL0jvvS51Foo21sAqlEoNpuJhVN0OHOKegFQKlOWyqNuqZxT4ewm7W4MuMHNr2GKqeFlt4xQtH0DVJ9mZOWwXGq8qzIRQG1TEZj/6wqbXkeAGNuP25fkOoiG6dH00S3xGog36TneOdwdn7UolcTTSWpzLMwMurDF4gQz5yzIMAChxGJVEL3YK5VbzFp0ajkmFQqOvpcOCw6hibT52UzaqgosHCqy0UwUzWpKrUy7gtiVcuY8idwWPW0Z4iqQaukrtxJZ68Lz1Sa2NZW5jHinuZrn1zHlpUV2dcdGRkhlUplbdrOhz/7sz/jzjvvJBAIMDU1xde//vUL7j+Dvr4+Nm3axMmTJzEajVOiKJqyn5UgeEVRNAuC8D3gkCiKz2S2/xh4SxTFF+f1IlcBgiAsJ538tBg4CdiBh0RRbLmW61hUWSPeYn2ArsY+APRmLdu/vJX7vnYHljzTFX89URQ5/n4LP//rX9F+JB2xaS+28tCfbOeuL976Wx9xeilIJpIce7eZ957ew8HXjhHPjOroTFpu++wm7v7SVkqusPXSTBX1jf9Iz6LOvKat0MLdX7qVbV+4+ap8L86Ga3CCN3+yi7d+ugtf5vqr1qm47TMbuOfLWympvj78OCdHfbz19F7efGoPnvF0kUSjU3HbY+u598mbKbwGc7tXCx73NG/94iBvPHsAb6boodWruOPhNWx/fAP5JVe2gn+5uCGIaTQapbGxEbVazcKFC7NzkolEguPHj8+pFM4HExMTnDlzJpu+1NnZiclkuuRKpyiKdHZ2EggEsqlQ8xE6nY1kMsmBAwfQarUsXbr0kn3WZidPXUzkFIjGeKnlFHt7Bjg2OopTp8WIQP9UEIlMQmRWbvTiAgdSiQTPVIgh7zTLi/M5PpJrTy8vzCOeSHJqOD3DKACpzA24SSFngcWCPxyle8KXfc7Skjw6JjxU2yz0jXpxaJVzbJZKzAYseg2uyQBjM2bzknQ1Uy6VUJfvIB5LcGqWuX1DiZP28Qlq8+yMT/rJM+rmzHvWFdmRS6UMu6aY9Iex61SMZyquNr2GErORzpFclRfAatSgVyvRyeS0D7goyzPTlREayaQS1lQWMuSeZtCVvnDNWDHNCI2kCDT2zJrHLbYjSAWmPAFGPSHKnCZ6M+9LgUVPgVlHW+840cz8qFohA7mEynwrY+NTTPhCCDJIiWnyXZlvRhAldA7m3genTYdWrUQpSOjoc1PoNGVHDcryzdiNapraR0lmRhYqS63EEin0Sjmd3W4WlFizRLWi0ILVoOFE2zB/8aVb2LwqR0wHBweRyWQfCbY4G1/96lf54z/+Y1aunP/1JRAIsHnzZr71rW/x4IMPIgjC+Yjp94GDZxHTNz9uVXxmrrSa9J/DGVEU4xd5yhXHypUrxaNHj3L07SZ+8X9f5dTBdLa4XCnnjic28clvbCd/wZX/cRVFkf2vHOWpv/5l1mLK7DTyyT+9l+1f2XrdRFpeL/B7A+z+5UHeeWoXZ452Z7fXra9m2xduZuNDa1Frr2yVbmpimvef3ccbP/qAoY709Ukqk7LhgVXc85XbqN+46Kq3d+OxBPtfO8brP/qA1n1nstuX3VzHvV/Zyppt14dYKhFPcODNJnb854e0Hsz5hq68tY57v3gLK2+tu2E9UeOxBAfebeW1p/Zx6lja9kwQBFbfUst9n9v4sUef3hDE1O/3Mzk5+ZEfwkuJAp3Z/+yqK0B3dzdarZa8vLx5rykej9PS0pJNYGpubv6Iqn4+iEQiNDU1IZfLKS4uPme86nwwI746Hyl1B4L84kQrL7acJhCN0ZDvJJlMpkVLmX00KjnBeBydQk61zUYykaJ5ZJbdUHE+J0ZGqXM6iEUSCCJzPEoB8k0aNKKEfm+AVArKHWZ6MqIfh17LIoeNYz3DhDN37UuK08Ilo1pJkVZDMBBlwB+ac0yNUsoCq5mhiQBToQjFDmPWNsmsVVNf6KC5dwx/xkJqWXk+JwZGcRq05Ot1iIkUrbNmVh16FWqNCp1cQfuAC6lESixT6U233u0kEyk6Zs1nlheYmfSHydMqGfeEKXaaODmQ8wxdu6iY6UAkKzRqqMijuW8MvVpBhdOCVIQT3bmK6oJ8C3KFBDGRomtwkjyzjtEMES+w6skz6TnVlyOqggB6vYo8gwqXO8R0MIZcKRBLiCjlUqoKLYTDSXqHc59HUYERo0aF3x9hcMRHcaGJgbEp5FIJ1aV2hJRIW2fu862udCCTSvBOBhkdn6aqPD0a8O0/vIO1S3Jt+76+PjQazUW/q48//jjf+c53WLRofv7y8Xic7du3c8cdd/CNb3wjc97CDdPKz6xjPWmhVrZHKoriz6/lGs4WP7Ud7OBX//g6B3ccRxRFJFIJNz+ynk9+YzsLrkK8ZCqV4tDrJ3jm/7yU9fo0OYx86pv3se3JW343g3oOdDX28vp/vM+Hz+/PWi9p9Go2PbSWu7+0lepZN4ZXAqIo0rjzJDv+/X0O7jiWbbEXLczn7i/dyh1PbEZ3DXw+e1oH2PEfH/DB8/uziU32Igt3PXkLd31+Cyb79eHH2XNykFd+tJNdLx0hFknfa+aX2dj+hZu549M3obvCjgvXEp2tg7z6s73sfr2RROb3prjSyb2Pb+DWBz+eNv8NQUxnojPPhYtFgc4gkUhw8uRJlEol1dXVc+50+vr6kMvlFBbOr4USCARoaWlhwYIFWTLb2tpKaWkpBsP8/5Bm+5x6vd5LJsezsX//flavXv0RQtoz4eXnR5sZnfZzZGiEWoeNVEIkGI4yFAjMOUaJ1YA905IPxRLUFdppHUsTOoVMyrrSIrrGJrMEaoHdnE1HqnHaCPvDDE4F57TdFzjNpEQRg1zBqQEXDSV5c2yWVpUXEk8mOT3gIp5IUWw1MuBLk06bRoleIjA0HWGWDz1FdgOCIGBRqTjd72JRsYPWWfOe6xcWMx2McHogEyea8feUCAJlFh0qiZTTo77s/kq5DJlCQpXTwvDYNJPTIYx6Fb5MVbXYZiTPpKO5azRriF9bZqdz1MOiQhtTvhBWg4am3twaVi0sJBJP0NnnIhZPUVfupHXAhUouparAikyQ0Nydq6gW2g3oNUqS8RTdA5OY9WomM84BpXkmTColp/vcJGa9EYV5BkwaJb39k0RiSdRqGaFoEqtRTaHVyKQvwMisGdWaCicSoK9vgnA0mSaqoz6KnEZMOhXBUJS+oUyalQDLFxcTDET4wifX0DCrvdjd3Y3RaMRmu7CI4hOf+AQ//elP5/V3JYoiTzzxBBaLhX/+53/ObhcE4R+AyVniJ4soit8UBKEO+AU58dMHQNXHLH56GqgAmkg7BQCIoij+4bVcx/lU+f2nhnjhH3aw87n92fSiZbcu5qE/vpuVtzdc8QqJKIoceauRZ/6/lzhzLF0R1Ju1bP/KbTzwh3ddN6TjekI4EGH3rw7y9k92cupQrkpXvaqCe75yG5sfXn/FRyNcg5O89eOdvP2zXUxm5s2VGiW3fWYD9371DsrqLjyycyXg9wZ575m97PjRB4x0p6+jcoWMLZ9cy31fvY2qZeVXfQ3zwbQnwDvP7uf1n+5ifCCtr1BplWx9ZB33felmim9gb1+v28/bzx/ijWf3Mzme7mJq9SrueGQt9z6x4Zqq+f9LENNgMEhLSwulpaUUFHx0jmVwcBBRFCkpuXj1wOVy0dnZSUNDQ9baCaCtrY3CwkJMJtNFjwHpOb3+/v6sz2lvby9KpfKc67sQZuZJm5qaiMVi2Gw27HY7Hd5pnjrSwv6eAWRSCevKiuib8DHoSX/h7GoFrsx7WmYxYZQrGZjwMhXNvc91hQ4Gp6aptJjpGfGwwGHmxNCsqp/NjEGjZMIXZMSTIUDS9AcuEQRq8mwopTKaemfltZflc2JwlEV5NiQpUEqkNM9quxdbjahVcogn6RpNXyRTmXsIASgxalArFHTMIpaLS52cHnVTW2DH749i1annKOLrS51IpQL9Qx6mQjFK7Eb6PGnyW2DW4dTraB9yZ6uTAAa9ikKrnngkSc/QJMV5JvozcaNmnYqaYhtt3S78oXSVtqEyj9Z+F4uKbMTDCXRqBc2zFO7LFxYQT6bo6B0nFhdZWGLjzPAEeo2SBXlmUrEkbX2zqroWHTazlmCm2qlRyQnEE0gEqCgwI6QkdA9PZAVfEkGgeoGdSDBG/2D6vdHoZIRjSSqKrIgJkSl/hImMfYhCLmVxdR6Tk0EGMmS0MN/EdDBCWYEZ19g0KpWMgREf//S/HmBRZa7129nZic1mu+g89Z133smbb775kaSyc2Hfvn1s3LiR+vr67E3j3/zN33D33XfbgF8CJcAA8ElRFD0AgiB8C/gCkAD+WBTFty76QlcRgiCcBmrFi1wQrzYuZhc11ufmpX9+g3ee2k0kkxpTvriYR/7bvWz+5Nor3kYVRZFDb5zghb/LjRUo1Qru+tKtfPIb92C7ga15riYG2od5+yc7eednu/Bn/m71Zi23Pb6ZbV+4hdLaK0sYk4kkh944wWv/9i6NO9uy25dsrmX7l7ey/r6VV13QlkqlaNzZxms/fJ/DbzVlnQxq11Zx71e2suH+VdeFqG7GE/XVH+2kaU97dvvyLTXc+8VbWHXbtYmKvRpIxJPsf6eF1362l1PH+4Ccmv++z22kfk3FVW/z/9YT0xkiWV9ff95q5sjICNFolPLy89+ViaJIT08PHo/nnJn2p0+fxul0XlTZL4oiHR0dhEIh6uvrs/6r/f39SKXSiwpKzj7WbOV9JBbj1WMt/Kr5DKIo4opGqbSYGfYGKbUa51go5Rt1mLVqkvEUnaPpOz+TTo03nK7SFZr0LLCYOdI9RCxTpVtWms+JoVFMahUVVjPRaIJTo+45a9Ko5VQ7bYxN+hn3BljgNGeN6hUyKWsqiuhzeRmaSBPkhlInzYPj6Uz5QjuSFDTNEhEBKJQyavLT0Z9jngBOi4bRTAqNTimjpsBG9+gUvkB67Usr8mnsG6XQYsCu00BSnJOAVOowoVLJERMinYMTaJUKApkUJp1aQYXDzIQ3wKgnV1EudJqQyyQIsTiD4wGqSqyczsx3GjRK6suddPS5mcwIh5ZU5dPSN0Z1sY1EJIlGqaBllrn90qoCEskknb0u4vEU5YUWesa8OMxa8s16Av4IvaM594J8ux6bWUf/wCT+QAy5TEqMJEaditI8M2MjPrz+SNa6y2LUUJCvZ2DAi9+fJh86vQKVUoZBLcftCqHSKHB7gwgClBdb0asVnDozSjKRPkZxkRm9VsnXP7+J0uLc97q9vZ2CgoKLdgc2bdrEkSNHLknIdw5cn34m54AgCL8i7ac6etGdryLm62Pq9wZ468cf8uvvvoUnc6PnLLPz4B/cye1PbEZruPLtybYDZ3j+717l8BsngHRV7LbHN/PAH2y74kTrtwWRUJTdvzzI6z98L1t5Bqhdt5D7vnYnGx9cfcXV9f2nhnj1397l/Wf2Zm9ezE4jd3/xVrZ/Zes1EUuN9Iyz44fv8/bP9xCaTl9XzQ4jd3/xZrZ/8dbrxhO17/Qwr/7HTna+eIhoONfmv+fJdJv/avwdXSucaR7gtZ/tZc8bTVk1f1l1Pvd9biM337/8qpn23xDEFNICqHPhfMRUFEW6u7vxer3nJJKzMT4+TiAQoKLi3HM8M9GcKpXqI2MAMzhz5gwWi+WCAqpEIkFzc3N2LnX2XcelVG1nzm9mnjQYi/Nayxl+cbSVsekAeQYdVTYzR3uHswbulRYdnVMBFBIJtfkOktEkbWNzSaXVoMaq0yBLSmgfdrO42EHLrOz1NQsKicaTtA+6iCVSFFv0DGQ8Tm16DSUmI92jE/gjOb3HgjwLnmCYcquJ3hEP5U4zjQM5grasPB9E6B3xMB2KkmfUMBpIk06HQUuRyUDn8ATBWcfMtxmQSgXMahXtvS5K7Hq6MypPAVi9sBBfIJoWBolQZtfS6wmiUcpZWGCFxNwEJINGicGgwqJR0dGbbr2r1DLCsQQKuZSFBVaSiRRn+nMzp1UlViKJJAalko4+N4vK7LT2pMmvSaeirtzBmV53VuFeX5XH6UE3hWYVYkKKTqXk1EDOSWBpdQGBYJSuvvSaC51GhienqCiyIhckeCaDuDJkXBBgYakNiURCV4+LZFJEIgiIEoGKEitSEbp63AhyCYlECoVcSmWJlVAkysCAL3sONrsWu0XHpCuI2+3HbNXi8YUoLjBh0KqYnPAz7g7wo395jPy83I9AW1sbZWVlF52n3rBhA01NTb/p3fV1T0wFQdhB+jqnB5YCR4DsBUsUxXuv5Xou1WA/Fo3zwS/28at/eD1rzq7Rq7nj81u4/2t3kF9+eXPvF0J3cz/P/d+X2fvS4WxVbOXtS/jkn25n6c2Lr1t/xY8bHce6efPHO+fMoloLzNzze7dz1xdvveLjEcGpEO8/u5fXf/g+/aeHgUyL/ZH13P/1O65Jiz0ciPDB8wfY8cP36cuI6uQKGZsfWsP9v38HVcvKrvoa5gO/N8g7z+5nx08+zLb51Voltz12E/d98bdEzf/MAbyZZDODWcu2R9ex/bPrsV3hG5UbnpgePHiQNWvWzCGLiUSClpYWtFotVVVVF1XOud1uvF4vCxcu/MhjM7ZSJSUlF5yV6+rqQq/X43Se+8sXDAZpbm6eM5c6G0NDQyQSCcrKyi64VsiR0hHfNC8cbePV5jPI5VJsOjUqiYxTQy4WFzlpmSVcqjRpkUolDHtChGJJLJqcybxCKqU23040EuPMrOSg+hInLcPjLMq3ISRALZfTOJArBjm0SjQ6NXq5gtMDblIpEZlCkk1HKrObcOq1nOgeIZFRgs+o18vtZvQKBTJRoGkWUXUa1Oj1GpSClDP9LkQx18qXZjLdBeBkb44w15Y56HN7qXSaGR2fwqyR0+nKVTvry+xIJFI6+91EognK8y10u7xpoVOxHUkS2vpy7xVAodOATa+lp3+SYDiG065jzBNAJhWoLLCgkMlo7Zql/K9wEorGUctkdPa6qK3IoyUjdnJadFQUWmhtHyWYGfCvrXQyNDlFqdPM6IgPs1FD52D6YqbXKllUZmdwxIvLnT4Ph1VHMJ7AaVLin44TjyXxZcYIzEY1pXlmhka8eLw54VhevhGrUUN/7wTBYAyZSkoimaIoT49KrmBo2EMkmv6s1CoZ5WUWfN4IoyPpkQW9UY3JqOb//Pd7sZhzd/0tLS1UVVVd0IFCFEU2bdpEY2PjfwViupn0Ov8W+Obsh0j7mF6abchviMtNfkomUxx6/Tgvf/dtWvakIxslEoGNn1jDJ/90OwuXL7jSS2WgfZhXvvc27/18d9YMvmr5Ah75b/dy0wOrb6x2aHc3/OM/wjPPQCAAOh185jPwp38K5yl6XC7CgQgfPLuXV77/NgOzCOPGT6zl7i/fyuKbrqy6XhRFWve28/J33+bAa8fmtNjv+b3b2PiJNSiUVzfOUxRFWva288oP3uXg6yeya6hbV8W9v3cbG+5bedV9WeeDZDLFkXdaeOU/PqA54zogCAKrti7mvi/fwvItVz7561ohHkuw940mXvnpHjpb0zcJUpmEDduWcN/nN1JzhW4SbhhiGovFONfrHD16dE5FdEaYVF5eflE7mxl4PB7Gx8epqamZs33GzH/x4sUXnZPr6elBrVaf8zXnc5z5jBNA2lqqZXCUZw63svtMH4IgUJdvJx5PZn0yAZaU5tE0NEaxSY8inkSr0nByLPe4WaMkThKnWol7KkogmsBuynl3quQyVi0ooHvMy2hmfnRJWR5NA2NIJQKlRg0mjY6m/rmETqWWUeGwEA0n0nOphRa6xjK+pVIJa6uKGJn005dpU8/4gcqlEhbYDGjkqjnVTEEAnU5JhcPC8JiPyakQ+XYDw5k1FdoMlNmMNHaOEMl4jC6tyqe5d5xCkxIhKUEmiPRN5ghbdYkdlVLO0LAX73Q4KzSSCAILi22QTNE95MnaKgFUl9shmWBo2Ec4lqKs2ELPiBe1UkZloRW5INB0JkfaG6rziSWSJKMpuvsnqF+YT0vnKAKwoNiK3aThWOtg9jUWltuJp1Ko5TK6etwU5ZmyCvsFxVbMehXNp0eyxs9WsxaLVYuQFOnumUCrVuAPR1EpZSwosRENxejpz4UfWM1a8guMDA948PnSVVypUkpJkQWlREJPtwtRAvGEiEYjo9BpIBSKMzoyzXPPfAmNJtdxaGpqygZcnA+iKLJx40aam5vPu888ccNcwQVBOCGK4vKztrWIonj50XSXgSsRSdrV2Mev//VNPnzhIMmMhVzDphru/9odrLtnxRWfQ532BHj9h+/x8nffYirT/SiocHLP793OHZ/bck0U4r8R3noLHnoI4vH0PzOQy9P/vPgibNt2xV92Rl3/8nff4sibjdnfyPLFJXziT+7m5k/ddMVnMkd7xnnlB+/y7lO7CWa6OCaHgXt/73a2f2XrNRG1jfW5efXf3+Ptp3Zn2/zWfDP3fOVW7v7CzRis+osc4dpgRs3/4YuHiWd+n4qr8njg97Zy68Nrb1iPX1EUaTvWy6s/3cuBd1qyrg7VS0q4/8nNbLizAZn88q8RNzwxPXHiBDU1NajVasbHx+nu7qa+vn6OMOlimJqaYnBwkMWLF6cXLIr09/czPj7O0qVLs7ZSF0JfXx8ymWzOjKgoigwMDDA2NnbR44yNjREMBs87ThBPJHm/rYtfHGxhMhgmkIiz0G5hwOXD4w9jN+sYn05X1ySCwE1VJQy5vPRnLvL1Jbm2fJnNhF2robl/NFvJBDBr5NnozwG3n4p8K82Dc9vuoWCI8ckQ05H4nDx5gzpNHkcnp3D5ciSwotCC2x9igd3MwKiXEod5rhiqPA9/wM+4J5rOqLcbGcxYQZU6TJjUStoH0nOYMyhwGDFqVSSiCboHJllU7si2xY1aFdVFZtp73QRCGTP8ijxa+sYoseuRJFMk40mGvbnoz0K7AatZy+jYVFYchERAkAhUl9hJxVK4vVP4Ark55yWLCknEk/T2ThCJJqiusHO6343FqKHIbkhXgmcR1aW1BSSTKYYGJ5majlFXnUdr1xg6jZLyQjMKiZTGU8PZ/RcusKNQSJlw+XG5AhQVmBgY92HUKSjKMxMLJegezBHPqnI7crmU3h43kUgCrUZBNJmkosxGIppgaNBLNEMwTEYVxQVmRken8Eymz1cmlVBWaUdIivR0udOqbSmYTCr+4psbsdttmEwmpFIpx48fZ+nSpUil57/wpFIpNm3a9F+CmAqC8FXg94EFQPesh/TAflEUP3Mt13MliOkMXIOTvPK9t3nzP3cSyiSK2Yut3PfV27nri7dcccIYDcd452e7+NU/7WA8IwZUapTc8cRmHvjDuyisvDzXkquK7m5oaIBQ6Pz7aDTQ0nLFK6ezMdbn4q2ffMjbP9mJN2MMb8k3c9/X7uCuJ2/BaLuyhDEcjPDh8wd47Qfv0tM6AIBCJefWT2/g/q/dSfni4iv6eudcQyDC+8/t57V/f4+B9nS6lVKtYOunN3D/799+3Zj2T036eevne3n9J7uYyMxzGyxa7npiE9u/sAVb/uUF81wPcA172fH0Pt5+/hCBzOiaLd/EPY/fxLZPrUV/GdeIG56YzrTHx8bGmJ6epqGh4ZLFFoFAgJ6eHhoaGkgmk7S1tSGRSKitrZ23ge7ZM6KpVIpTp9L5yHV1FzfidblcTE1NUVVVNWf7VCjC2y2d/HTfCVzTQYrMBgqNepoHxojFcyryPIue6UiUaqeVEdc0Fo2c05nkI4DFxQ5EAWKRBN2jHgwaJVOzxiOq8qwYVAoau0ezSu8FNg3d3hAlFgNmlYpIIETnZK5FXmAxIJULWFRq2vvTdk9KtYxIxqO03GHGbtTQ2DGrlV+RT1P/KAsLbAiJFLFQmD5vOHvMEocRg1ZFKBijb8SDRBBICunnmnQqyp1mpv0RekdywqBF5XYi8SRahZwzPS5KHFp6xtPr1KjkLK0qoH/Yy2iGpFcUWega8VBg1SAXIRRMMBHKvRdmg5qSPDPDw148meqiwaggEk+xsNiGfzqCIAj0D6fXIJEIrFxcjHc6SHfPJKIoUrvQyakeFwuKrCilEhQyKS3tOaK6oqGYYChKd4+bRDxFTZWT9t60yb1MECAp0tGb/mGWy6UsXpTP1FSY3p501bsg38h0OEppoQXvRIB4LIk7Q6oL8004LFo6u10Eg2kybTSqyc83EpoOMTToQ6WUE44nKCgwYTaoGR9KV6MhXaEuLbEw5QszPjrFD3/yKJOTk/h8PhQKBYFAgKVLl15wxjQcDnPPPfdw+PDh8+4zT9wIxNQImIHvAH8x6yH/jIPAtcSVJKYzCE6HeO/pvbz6/XcY7krfrKp1Ku78/Bbu//qdV3wONZlMcfiNE7z6g3do/KAVSLdD1927kof++G7qbrqOMsx///fhP/9zbqX0bMjl8OUvw/e+d9WXE4vG2fX8fl78f2/Q15ZO6pMr5Wx5eB33/f4dLFx55T1Rm3ef4qV/fpPDbzZmty+9uY77v3YHa+5eftVHMkRR5MQHJ/n1997h2Hu5oLUVW+u5/6u3s/L2+uvCDD8RT7D3tRO8/O/v05FJZpPKJGy4ZwX3f+VWalZe+XGZa4VIOMYHvz7GKz/Zw1BPulCkVMm59cGV3Pu5jZRWzf+m8oYhpvF4nFQq9ZHtra2tBINBLBYLVVXnTyv4xI+ep8hkYJHTxqI8O4scNvKMOgRBIBQKcebMGWpqamhqaqKgoIDi4uJLuvANDw8Tj8cpKysjFovR1NSEw+GgtLR0XseZmJhgcnKS6upqALrGJ3nhQCtvNndQnW8llkohJlN0DE9i1qrxhHNkrsCsp9hioLV3jEjG8qjKaeCMexqDWkmlw4IMgWM9uax2nUpBTExSU2DH6wsx5J6m0GFgMBNpmU43KmLI5WXIlW6bl9m09HiDyKQSFhXaUCChqWeugt6oV1JiNxHwR+gf9VFRbKNzJF3Z06rkLKsooGdokrHJ9DFrSu2cGprAbtRSZDEQDsXomJVRL5EIlBWY07ObfW4SCRGnLT3vqVbKqSq0IhEEmjtm2UNV5eELRDBrVHT2ulhY5sjOe2pVCuornQyOTDGaqSrYzBrcgRAFFg0yEcZdIWKzvrUOs5rCfDNdXe5svGdRoZlQJE6R3cDwkBebTceZDJE06lXUVDjp7Z/APZEmyHWL8hgcncKskxIOgcOm42RHek1Ws5bKMhtd3S48njQ5XFjpIBCOYTGo6e+dwOkw0N0/iSBARZkNg05Fy8nhbGu/uNiMwaBmajLAyJAPm02HyxeirMSCRiXHOxFgPPM56nQKFpTbmZgIMDrkA0BvUJFXYIKUSG+nC6VSRigap7LKyd/908PZ9yIcDnPixAl0Oh3RaBSTyYTVas1WU2d/n5988kl27tx5jm/7XHzhC1/g9ddfx+FwcPLkSSA9XvPII4/w/vvvdwF9wMOiKHoBMub6T5L2Cv1DURTfueiL/BfC1SCmM0ilUhx7p5mX/uXNrKWQIAis3raUe796Oytuu/IEoK9tkJf++Q12/mJfNk5zQX0Jd395K7d+eiMa/cectW4wgN8/v/2mpq7+ejKYiYp95btvc/TtnPXSki11PPLNe1mx9cp71w60D/Pav73Luz/fk1XzF1bm8Yk/vovbPrvpmrSu+08P88oP3uWD5/Zn55aLq/N58Ot3cuujN10X7XNRFDl9rIdX/v0D9r1+IusrXLNqAQ9+9TbW33V9pF9dDlKpFCf2nuGVn+zh+J5cstfKzYt44MnNLNuw8KLfuxuamPr9fo4ePUpJSQmVlZUXfP7Wf30KdyCY/f8Vxfn0jHuodtpYYDOhCgfI0yjZsmIJzkuMJoV0Kz4UCmG322lpaWHhwoWXFHHq8XgYHRvDLarYdbqX1xvPoFUqWOi0IBMkHOvNkUqDWok/FmNRvg0xIXJmeIISu4mBWdGfa6uKCEUT6TZ4IkVNsZ1TI2ni5DBqKTEb6RieIBDOtaeLHEYC0RhlVhP9Iz5KHUaa+3LEc3GJnXgizojLTyCSxGZQ4w5m2nsZYjns8jExlWtpVRbbCMcTWDVqOvtdVJc6aMoYy0sEgVWLipgKROjsm0AURYoc6Va+RiWnqsCGzxdk0JWLLAWorXAiQ6C7z004mmDhAgft/W7kUgmLSu1oFXKOnBzM7l+/MJ/pUBS9SkF3j4uSfAsdGasns0FNZZGN/mEPE5lqsFwmISUVyDMriEdTuCci6Awq/MEoUqmEqlI7SrmEk6dGsxf7qop0RVoqQleXm0ULnbR1jiGRCFSW2jDqVZxoGiSVqRwvrs0nnkyRjCbo7Z2kpjqPkx1jaDUKyoqtqORSGptz51BXkw+CQH/POMFAgrIyKwMjPhaU25CkRKLhGAOD6Qqu1aqlpNjC0LAPd8Yo2eHUYzZriQTDDA1MYTZpmPSFKCm1oNMo8XmCWdGTw2kgP9/A0IAHUiI/eu5Lc97/o0ePsmrVKpLJJFNTU3OqqRaLBZPJxOTkJH/1V3/Fjh07LvS1B2DPnj3odDoef/zxLDH95je/icVi4S/+4i+EjLG+WRTFPxcEoRZ4jpyx/vvAwo/TWP96w9UkprPR3dTHS//yJrt/dShLGAsr83jgD+7kts9uuuIJT95xH698/x3e/M8PsnOoGoOaOz63hXu/esfH1+aXSODCv4G5/ZIfz9d0pHuM13/4Hm/+eGd2JrNyaRkP/tFdbH54/RWfQw34grzz1G5e1xj3SgAA0W1JREFU+f472ZEMo03P9i9vZftXtmK9Bq3raU+Ad57azav//h7uIU9uDV+6le1fvOWaWF7NB+5hDzt+vIs3f76HQGYMzlFs5b4v3cKdn7mx7ab6O8d47al9fPDSUaIZZ53ShXnc//lNF7SbumGJ6djYGD09PRiNRux2+0XjEe/5t2cZ8ObuVlcUp70uZ2BSyJgKJ5BJJJTZTFQ5rdQX5lFsMVDptOIwaC/I8l0uFyMjI4RCIRoaGtDpdPM+t+lwhBf2NPLysdO4AxHWLiwmGkvQPuAmEk9kk4sgXemszrMxPDnNuDfXVi91GBia9FPlNJOIixg1Kk7MmuWsLrKBAJKUQMeAG4VMSiSVu0hW5VsxqpU0dY5mB5lrS220DU2wwGlCI1cgFaGlP6eGtxlUqJQShITI8EQIRNDqFATCaZ/NRUU2ZBLJnGpmdYmFgYlpKgtsuFx+HGYdrbMU8XXlTiSSNOmMRBNIJRISgpi2bSq2E/JHCUdjjM/yGK0uNZNIpBgfDxEKx6lflE9z1ygalZzKIhtquZSjLTmSV1VmB4mADOjsceOw6hnN+KoW55sw61Wc6R4nFst932w2FXq1gsmJCIFAjLw8A6OuaexWHfl2A/FonPbO3HuzbEkx8USS4QEvPl+ImkVOTnW4KMgzYDZokEsFWk6mbzYEQWD5kiICwRg9Xa50a78mj75hL+UlVgJTYVRKOR1d6eMXFpjIzzPQ0TGGfyo9K1tebkOllhMNxujrmaCwyMzQmI/SUhsalYxQIMpAX/ribLVpKSmxMjDgYTJTRS0utaA3qJn2BBnu92B36onGk9TUFfDNv75nzvd1hpiejXA4zOTkJK+++io/+tGPUKvV/P3f/z1btmy5oIIf0jPa27dvzxLT6upqdu3aRX5+vnAjRJFeTyhxlovf+vz/j3u/svWqWD2dDa9rird/uovX/+N93Jm5Z61Rw7Yv3Mz2L2+l4Arb5MSicfa/cpQd//4uJ/elzc0FQWDN3cu596u3s3zrNW7bXqcV03MhOBXi9f94j1//y5u5OdQ8E9t/7zbu+/070Jvn/7s1HyQTSfb++gi/+qfX6TyRjqeVyaVseXgdn/iju6hYWnZFX+9cSMQT7H35KC/961t0ZtrnMrmULZ9cy4N/sI2KqxDLezkIByK898JBXvn3DxjJuM6otUpu//RN3P/lW8kvu/SC2fWCaW+QN39xkB0/34cnU2gyWLTc9eg67nliA5azBHM3DDFNJBJZ386Ojg6CwSD19fUMDQ2hUqkuqsD/i1+/x8i0H084zMiUn6WFzjnEVCeXEYwk5jynyp5TlBvUSjZVl6GRyVngsFCRZ2GBw4JJq0pbabS24vV6Wb9+/bxnXDtGJvjVgVaO9Awz5vNTZtYhlynQKORzTOZriuwEYjEsGjUdmSz2yKwCkVmrIl8jY2wqzlSmfbK0Ip8TfaPoVAqq8qxIUtDYkztfqURAoZJRlW/F4wkx4p6iNN9C33i66qZWyFhg1+ALphjN+JbNxGoatSoWOM2Eg3Pb7gB2kxKjRsm4O0wwHKeq1JbNnC+y6TCp5XQM+khkTNzrKpx0jEyysMhGYCqCmEwxMJG7eBc6DNiMWnr6JrNWSw6HDp8/TGWxDa97GqVSTv9orqq6emkJwWCM7l4X0WiS+kX5tHSMYjVpKHIYkYgCze25CnRJgRmDQcX0VJjBIS9KhYRIIoVCIaOq1EYkGGPUPU0k8/2QyQRKCnREoyIjI34Qobzcysj4NBWlNsKBKEqljPZMDr1epyTfqSLgTzGWWefixYW4JwLYLVqGBr0UFhhpO52usJaXWbGYNDS3DBLPkOPaugIQYHRoAt9khMqFTrp73CxYYEcmCKQSKboyxNiZZ6CwyExfjxvPRLpLUF5hR61RMDnuwzXip7DYjGc6TGmplUgwRjwSY3h4Co1WQUmZDYVMwsmmAUrLbfzDj5+Y8xmfj5jOxr59+/jud79LTU0Ne/bs4cMPP7zgzdrZxNRkMuHz+SAzYyoIglcURbMgCN8DDomi+Exm+4+Bt0RRfPGCC/ovBKPUJq5V3ZW2qLmjgft+7zaW37r4qpO1ZCLJ/leP8fJ336LtQEd2+8o7lnDPV7ayetuyKz5r2NXYy6vff4edz+8nHk1XZJylNrY9eSt3fv7ma1MVu85mTOeDWCTGB8/u4+XvvpWdQ9Xo///snXd8FPe59b9Ttq96L4BoAgQI0Xs1YOMCmGJsxzU9N065eZObm5uee3NTborT7BQ7seO4g40L2PRqepPoHQmEUK/bp7x/zOxIwpi6EiLx+XyIo9HuzG9mV7tnnuc557iY/W8zmfeVu2KurNd1nQMfHOXN377Hlrd3WcWPEbcPYdHX76Fw0oAOnxm21vCHFWx5p9Vuati0QSz4yiyG3dY1/HM1TWP7ihLe/ONqSj4w/o5EUWDcXUOZ928zKBjZcQK6jkYkrLBpeTFL/7rBspuS7RJTZw/j3k9OpucAQ6x2SxHTQCBASUkJiYmJ9O5txGKVlZUhiuIVE5Mef+YNS2EuiQLDemRRW9+I02lHl2WqGxupaaO6BuifkcrR863Eq6h7ZruYSa/TjlOUSHPbyEpw0z05jglFA+mWlkiy13XJN7miqqzbf4rXtx5g3+kKEtxOCrqlcfxsDbWm6nVIr0z2lV5AlkQGZKfhtdnYfuyctQ9REFBEnfysFISIyqnyBnpmJXGyslUQNLp/LoGgwtHSasIRlT45KRy/YFQzclMTSPW6OH7WaIVH0TM7GUXTcAlQWtHIgLyMduc7on8ugWCE42eqUBSd1EQPVc0+JFGgX7c0tIhGRU0Tzf7W69gj04PDbqeuzkddQ4jCflkUm+KJ3PQEemQkUHzoPH6zzJ+bkcCFphbyu6US8EU4V15PpM37KzczgfRkL8dOVOI3Uzb69krnfHUTvXKSqavxkZzkZr9ZpZUlkeGDu1Ff7+PkKWNcIL93OsdKq+nZLQWXLOP3hTjTRkzVIzeROI+L0yerCZjHsLlkMtPjifc4OXOyGpfXQU1tC4IAaSlOEuMdlJ1pImzO+Pbrn4mqgx6OcPpULfn90jlyrMoQFnVLwWmX2LO7zDrmsOE9CAYjlJfW0tQYYMDALE6eriUvLwUlGMFhlzl8xLxu3ZLIzkzgyKEKq2LavyALSRZpqPVx/mwdPfukUXGhmby8FMKBMLqqcfpULTa7RLceycTHuzi47yxKRMXhtNF/YDa+lhBnjlehRFTy+qThdNtITYvjq99vrZhqmsaePXsYMeLynxnr1q1jzZo1/OY3v7ns46K4BmL6B2DrRcR0ua7rS67qQP8CGFQwWH90/BNsWLLDImu5fTOZ/fkZzPjEhE6ZyTy66yRvP72K9a9ttdaQ2TONez43gzsenxLzylx9VSPvPbuW9/661modS7LEhHtHcs8XbmfwhNj6erZDF1HlXw90XWffugO88vO3LZGZw2Xnjsencu+XZ5HdO/bjERWnqwynh2fXETJFp32H9WTBV+9i4vzYp1hdChfOVPPmH1bwfttY3oHduPeJ25m6aGyHe7JeLU4dOMsbT69m/Rs7rOSl/iN6Me8L0xl/19Bbdg41aje19K8b2LLigHWTUDS+L/M/M4WRUwpuDWJaW1tLcXExffv2bde2bys6uhz+7e9vs+1kK7nrleBu520pCQJOWSIjKY44twNRFLDLMscv1FJrJhEVdstg/+nWtrNNElEj7ede+2elcvRcDfEuB3kZSQztmUWC20mCx8Xhs1XsO13B8apaemck47XbOVpaRXqy1xIdAYzqm0NY1Sg7X09DS5C+OSkcu9AqIOqbmUJNvY/zNa3to77dUimtrqdfjqEaT/K62NuGVPbOTsbltBHwhS1/zGiuvcMmkZ+ThgjsP9H6nCF9szh+vpY+2SnU1vhI9Do51KaV3yMricQ4J2fP1dNgzi154500+UL0yknGbbMRDIY4da6V9OX3SEKUZIJ+hbJz9RT0yeCgmZiUk5FATmo8h05csKqjsiQiO2T6dEuh2axopqR6qKn3G0Kg7qkkxbkoPngOxXwtBg3IprrBR1qih7OltXTPTWa/ad2UlOgmv2cap8/UUl1tXL/cnCQafAFS4mRCAQj6WyvPiQkuumUnUVvXTMX51teoZ680vG47VecbqK5qJrtbIuXnG0lNceJx2hAFkTOlDcZllkSGDe9BY4OfU8erUBWNgYNzOFfeQG5OIvXVzSSneDlwoNyomPZKIyXZQ8meMkLmjcOgITmoqs75shqa6oP0G5hNWVkdPfJSCPnC2Gwix45WYrNLxtq8Dg7sOUskrCDbJAYOySUQiHD6yAUiYZVe+RlIdhFB1yk9VkV292SqKpvp1jOFcDCCoGucOlrFyIl9+Y+fzrPOOxpeMWxYO7vOD+Gdd97h4MGD/PjHP77s46L4uJUfO0RnTBuqm3j/uQ2885c11Jh/8+54FzMfmsjdn7mNbvlX5/N8I2iqbWbF8xt450+ruHC61f5p2gPjuPuz02OeHKRpGntW7+edP61i+7u7rcpcr8HdmfWpaUx9YALxybElxcBN8zGNJQ5vO85LP33TiosVRYEJ80bz0Hfmkzcw9tZPTbXNvPXUSt5+eiWN5ndZam4y879yJ3d+ehouT2xnlC+F5nofy59dy9KnV1F3oQGAxLR45nxhBnd/5raOea9cB2orGnjnr+t4928b2s2hzv3sNO54aCLuuI6/Vh2F86U1vPW3jax8fQdBf5hJdxfxX79/9NYgpuXl5bhcrg9Z1FzJ/zOK/317A1tOlnGhsQVN1xmYlWplnUch6u1n2AfnZnCgtBK3w0ZGkpespDj8oQhBRaG6yUdNsx+09n42A3NaPTUBemckc7JNmpIsCgi6gKq2Etr0FC+VDS10T/FCWMUpSxyvbp2h7JWVjKJrJLkcRnpRWEWSBUxBNlnJcfTMSGT/iQuWanxI3yz2nrpAZrKXrIQ4woEIh8+1jyDNzUwg2evmdGkNvkCErFQX503rpp5ZyWSnxLH74DnLlmpAz3SOnq0mv3saWkSlvs5vXAMTcR4HfXqkUXmhiQpzjiQ73U15rZ/uWYkkuBygqhw82Xrd8/OSkW02/M0hys7Vk5uVSFlVg7GG3GTinHaOn6oiFG4dXUhPc5GSFEdttZ+amhb69Erj+Jlq3C4bvbql4rTL7N7XWo0sHJhjmN2HVU6eqia/TzpHTlQhSyK9e6bhlOHA4Ur0aM58kpvU9Hh0RWvn6el02enZwyCCdXUtNJrVyqQkN716p3H+bAMXzhtrz+4WTzAUxuOUqb3gJys3iZOnanG5bOTlpeJx2dmz64x1zOGj8ggGIpSfqaWxwc/Aom6cPVtHbm4yzfV+4uOdHDxQjs0mktc7jTivk5I9ZagRDUkWKRzWHb8vROmxKoKBCH0HZqFpOjZZpOxEFTk9UjhzqoaMbC9Ohx1ZFDl6sAJPnJNueSm4XDaKd51BUzQycxLJyUvh/Jlacnqk8M1fLLSuZSgU4siRIwwZMoTL4ZVXXqGmpoZvfetbl31cFBcT02984xukpKS0FT8l67r+H4IgDAReolX8tAbo+88sfhIE4a/A3UCVruuDrvT4i8VPqqKy5d09vPX0SvZvblXJDp06kNmfm87oWR2vAFZVjR3v7WXpH1awd80Ba3u/Eb245/MzmLxwbMzV0lVna1j+zBqWP7OWhipjPMjmsDHh3lHM+tQ0CicNiO14w8mT8OtfwwsvtCY/Pfww/Pu/d7lK6eVwqqSUJU8uY90rH6BEVATBSP/6xLfnd4g3aSgQZs1Lm1ny5HLOHjVGrOJTvMx94g5mf2Fmp5DDcCjChsXbeeN371uerE6Pg1mPTWHel24nvVtqh6/hahD0hcw51NWUm5ZMnngXdz46iTmfnXZL+6G2NAV4/5VtDBnbh/zC7rcGMVVVFUVRPrT9cnGibfGdl1exovg4oghZyfF0S0kgHFEJqQr1viAVDU04RZlApPUYQ7pnUtImhah/ThpHy1rJnSwJ5CbF43E7kCSBFr+f1MQEDpZW4QsZBNFts+EPRayrIABC2yuiG/OcgYBiEdyUeBc1vgCSKJDmcRBnt3Gysr0y3eO2k5eRTDgY4eRZw2T+sFnNtEkiIwd0o7quxTBh16F7ZiJnqhuw2yT65aYS8IU5V9VEWGkjgOqejMvpoK7Ox/kLjRT2y6b4hFFpTE/y0ic3mSMnq2gwTXST4l3U+wP0yk3BJckcP1WF2+OgodkgbE67yMC+mVRV+yg3CVvhgGyKj1XQMzcZpyyihSMcb5PfnpebhDfOSU1VC5VVTciySETTsNkkeuYk0dLkIxzB8hcVBBha2I2gP8zJk1WEQyoDC7I5cLSC7jlJJHgcyJLIvgOt5vVFhd1QIiplp2toaQ6Rluaiqj5I927JxHscNNS0UH7BuN6iKNCrZyo2m8Sp45VWqz4tPY7UVIPwnzlZTUZ2AhUVjaSlx5GU4MDnC3K+zNiHJInkF6TS1BCg8nwLakQjf2Am9XUB0tPjqC5vIC0zgYP7z+H2OOjRMxW328beHWfQVR3ZJpE/MJ2mBh/V51sIBRUGDMklGIhgt0mUn6omJy+VE0cq6dE7FYddQpIEDu49h90h06NXGvGJbg7sOUMoECEuwUn+wBzqqlsoO16FpmoMHpWHoqjUnG+kuryB/kXd0AXoU5DFo/8+w7p2fr+fU6dOWWEUH4W//vWviKLIl770pcs+DuCBBx5g/fr11NTUkJGRwQ9/+EPmzp3Lfffdx9q1a08AZcDCqCeoIAjfBj4JKMBXdV1/74oHuYUhCMIkoAX4+/UQ07Y4WVzK239ezbpXt1pWOundUrj709O447EpJKR2fGJO2eFylj27llV/b63+xCV5uP2xKR0mltry1k5WPLeePav3W23D7D6Z3P3ZGcx8dHKXqYx1JdSU1/Hqz99i+TNrLNeFCfeOYtE35tCvA+YcNU1j+/K9vPKztzi8/QRgVNfveHwK8748q1OEfLqus2/9IV5/cjm7VxujDaIkMmneKBZ8ZVbMK/zXi+gc6uI/rOTgNuNaSbLIlHmjmPeFGfQe3PHhBh2JW2bG9KOIaX19PRUVFRQUFHzkcyORCP/x16VsPt1KKvtmpnCivDU5RxCgd3oSTrsNm01CRcdlt3HgzAV85oxU36wUTpyrbbfvOJsdX7B1pjItzk1Vkx8EcMoSTrtMg9kWNlipSUyj/wCHKBJWWiuocS47zf4QglmNlUQBxXywLAp47TaUiIa/zXzogJ7p1DUHyEz0UnqujrysZIpPtoqdBuSlY5MlszpqrNfhthEIKWQlOUn0eNA0neNlredX1D+bkKKiBFVOnqkmv2c6R0uNa5gU76JXTgrl5+upamO6n5jkJt7rQI+Eqazy07N7quXvmRjvoqBPBqdLa6k0K6oD8jM5ZhrLK8EwvuYAVY2tZvc9cpOJ8zg4c6oav994HZLTvIiiQFZaPBXlDSQkODl52qjCJia46J+fSVlpLRcqjCrJoEE5lJ2vp1t2EvVVLSQkuDh81LjhiI+307dPJufO1lFlktHUVC92l53kRDflpbW0tASJaDqSJNKzZyo2UaDiXANNTQYBj09w0atvOnVVzZw119G9dyqCIOB22jl7qpqs3CSOH6skMdlNaqobTY1w+qgx4mB3yBQO705DvY/Tx6pQIyqDhnUnGIhgk0VOH71AZrd4yk43kNc7Daddxm6TKN5ViiSL9OidRnKKh8PFZ/E1h3C4bBQUdaOlMUDZ8SrCQYWBw7uj6jp1lfVUnWumf2EuwWAEl9tORWkNGTlJVFc0kZGbiL8liMtlp/R4JTPmD+ehr063Xo/m5mbOnj172b83gN/+9rdkZ2fz+OOPX/ZxV4Gbr0boAhAEIQ9490aJaRTN9T5W/WMTb/95NRVm5cXmsDF5/iju+ex0+o3o1eFCkFAgzIbXt/L206s4tvsUYKjrh88YzJ2fmsaYu4fFfN7wwpkqVj6/gfefW0eNaSFkc9gYN3s4Mx6ZzPDphbfs3F5H4VIEdeQdRXzyv+/vEFW9ruuUbDzMq//3NrtWGmb5oigwZdE4HvzPuXQfkBPzY14KJ4tLee3Xy9j4xg7LZ3TIpAEs+n93dxmhFMCR3adY8tQqPnhnjzW6UjSpPwu/dDvDphR0mXVeC255YtrU1ERpaSmDBw++5PNaWlooKSnhg4oAKw6eodEctu6ZnmTltUeR7nW38+As6pnFvhMVJHqdJMe7sYsKICLIdhr9QaoaW/Da7DT6WuMtvU47Lf4w6MY3qtMmE4iuW9fRdRBNwqkDCIbpuz8cMayRVA2v3Ya/jb+oJAoomo6gYe0X87lRghtnHjf6u6zUOKqb/HRLjScSUtFVjfN1rTOpCV4nuenxnK9ooKHZOFZ+rzSOllaTk55AarwbmyCwp21MZs80RElEV3ROnK4mzu2g0W+ce0qim5z0RGrqGqmobCWq/ftmGOMRisbJUzUU9M+05j1zMhPolpnIoSMXaDarrDnZiTQHQmSnxVFX00x9XQBTwI/TKdM7Lw1VUzl6pNJ6Z/Xtm44kiahhhVMnqhlQkMXBwxU4HDK98lKJ8zjYtavUapsXDMwmGArhawpQdaGFvJ6pnD5TS1Kyh5ysBJSQytFjrZXynr3ScLvtnD1dY4mNEpON7PlIMMLp49UkpXmorW4hNd1NRnoigUCYU8cMQh6f4CK/IJPqC02UnawCHQYMyUVRNNSIwtkTNWR083L+bDM53RNxux3YZJmDe88iSgIZ2XHkdk/jcMlZWhoCyDaJotG9aGkKcO5EFb7mEING5hGJqKhhhTNHL9BnYDZ1NS2kpHlpqm0hLsnDqcMXSMn2EOfxYHfIHNh5huy8FBKTPdjtEvu2niIlI5707EScbhvFW04y6/6RPPofrbNxjY2NXLhwwQqC+Cj89Kc/paioiIULF172cVeBW+9TtQMQa2IahaZp7F61n6VPr2qXmNOnKI+7PzONqQvH4vRcOZL5RnFk5wne+ePqdmKp5MxEbn90MrM+NY3MGFvlqIrKjvf28s4fV7F7VYlVRU3OTOS2T0xk1ienkpvfNeIsuwpqK+p587fLefdPq6142onzR/Pwdxd0yAwqwKmSMhY/uYx1r2xBVcyxgnmjeOCbczrFagqMkZClT63ivb+tw29+T/UZ0oOFX7uLiXNHdpkbmQulNbz15zW8/4/NBCxBVy7zvziDyXNHxtyrtiNxyxBTTdOIXMKOw+fzcfz4cYqKij70u6qqKk6cOMHgwYP5x8aDPL96D16XnbQkLynxbhRFJaioNPgCVDa0kBnvpaINeRtqEtMospI8XKhpNenXAZsMigouh4yqqjgkmeZoBVUQcMgSQUVpTyo1o0Ib3YnHacPvi1g80+Oy0xIOY5NF7JKEGlEJtRVZCSAJoKmt+7TLAuEog9N14lx2WprC1nEkUUARdByyhE0Q8fvC7eZUXQ6ZgX0yqa5p5mx5AwCDB2RTcvQ82aZlE6rGgeOt4q/EeBdZmQbxPW0q3j3xNpp9EXIyE4xrHFE5cqz1OUWFuSiqRmN9gHNn6xjQL5NDxyux2SR656XidsiUHDhv3aHabBIpqU6cNhvlZxtRIhrxiQ6aWsL07JGKyy4TCkU4ddIggaIoMGx4D0NhfqKaYDDCoMJcDh+poFevNARNR4mEOHXKuCnxeBz0759JXa2PMyerQYf0zHgEm0hqipfKc/X4m4P4Q6oxTtDb2EfZ6WqCAeOGIzM7gfhEO9UVTTTUmjO6/TJxOmyE/CHOHK+kR590zpXVkdfbEJmh6xw7WIFkZtQnpno4ss+oeIqSQM/+yYT8CnXnWwj4IgwamUcoFEEEyo5V0mtAFudK68junkzIF8LltXNodxm5vdKIS3Bht4vs23KKuEQ32T2ScXvtHNhxBk3T6d4njZT0OE7sL6ep3kdur3TSc5M4d6KSqvJ6cnunk56TRPmJKkZNH8Anvna79frV1dVRV1d3xUCL7373u9x+++3MunHBx8fElCsTU0EQPgt8FqB79+7DS0tLr/kY509VsvzZdax4YSNNZhfEm+hm5sOTuPszt5ET4xb7pdBU18KaFzex/Jm1lB42boqjyVL3fG46w2cOibnlVFVZDWte2sTKv2+g/HjrDWnhpAHM+tRtjJ87Eqe748n5rYKG6iZe/umbvPun1URCEQRBYPJ9Y3nwW/d2GEG9cKaa137xNiue22BVbYfPGMyib8xmyOTOqQq2NPhY9sxa3vzDSurNmeXMvDTmPXE7tz8yuVNu4K4GLY1+lj23gaV/WkO92ZlMzUpkzmemMevRSXgTur5h/y1PTEOhEAcOHGD48OGtB9R1Tp06RX19PYWFhdjtdp5btZs/Lm/N7U5P8FBd10oyEaAgNxVdB4dDRhcEPA4bx85VU9sUQAcyEr3t2tYADkkkHFatb0+P0yCVug42QcAly7SYFYBohVQQgDY80y3LBNu05eNcdpp9IWsWVRBAEwRDmaULyILxba1orZc2zm0nFFGJmEIlpywRCpnzo7qRZhRps87oOes6xshAdNbVnLEVRYH0JA8+Xxhfi3H3lZkRT0VNMzkZCSR4nNRUN1NT33oNPS4bffukU11txGIC5PdN5+SZGnr3TENQNZx2meJDrR6iw4YYYQJlp2vw+cLkZCdy7kIj2VkJuOxQV+W3KrrRNSQlOykvraPZ3N6tRxKaBskJbs6V1pGVk8jhwxUIAuTlpZKWFsehkrP4TDuwvN5JOJxONEXj9PEqeuSlcPJkDSmpXrKyEtAiCocPGTckkiTSp1+GYU12vJKAOU6QnpNEaloc9VVNVJytx5PgAAS656USDoTxtwS5UN5ozHj2TsPjdXCk+CzBQATZJlE4oid+X5CzJ6vxNQUZMMyYe5VEgbPHq0jL8XLhXBPp2fFEQmEcThulR2pJy0ogPSsBu1Nm75aT2OwyPXqnk5jm5VjxWZrqfGR2S6Zb7zQqz9Zy9kQV8Ulu+hZ248LZairLGrA7bPQr6kZTvY+KU9VGmlVRd8Nc/1QV3ngX3fMzqatoYNSMAuZ9YZp1/aurq2lpaaFnz8vPWn3ta1/j4YcfZtKkSZd93FXgY2JKx1VML4VwMMzGN3byzp9Xc2TnSWv7sGmDuOvTUxlz59AOt/SJek4u+8saNi3ZbpGRtG4p3P7IZG5/bDIZPWJbRdV1nUNbj/H+39ax/rWtlpWRy+tk/JyRTPvEBIZOG9zhue+3CmrK63j5p0t579k1KBEVURS445PTePQHC0nKSOywYy5+chnLn1lr2TwNHJfPQ9+Z32nt9XAwzKoXN/P6k8utMZiE1Djm/ttM7vnsdOKSPFfYQ+cgHIqwfskOFv9hJWVml9LtdXLnY5O493PTSclKvLkLvAxueWKqKAq7d+9m9OjR1s/79+/H5XKRn59vqS7f+OAgz63eTU2jD03XSfQ4aWwKtttXr/TEdu39/jnJHC2rM+ZF7TKqrhPWNNwOG6qqEQwr2EQBVW09xXi3g6aWkFXJlCURJZpYFZ0r1XSE6PetAF63HUXREAWBQCiCx2Ez7JLaVDtVVW/XxhcF0KJVWB08dtnyAtUBt0MyiKumE1F0ZFlEMcujoggIArpqjgeYcDpkAqGINQPrcdosr1B0HZfDTqDNuICxOAG7JCAhEAoqOF02AqYRfWqyh9RkD2fLai1CN2hQDhdqmslMjaPqfCMpKR4Om1XYpCQ3vfJSqShvoMKs2trtMq44J92yEw2PzrI6ElI91Df4SU31kpLsJhwIUXq6wVpS0fDuRCIqFWfrqK/xMXBILocPV5CZ5cEmScS5XRzYb1RjEpLc9MnPoLqiyZoPzcpNwumx47TLlJ2sRhIFmpqDpGXEk54Rb4ijzPhPp9tGZk4cdrudU4cqUBUNh9NGv8Jcgr4wpccrCQUi9OyfiWyXkDAqnll5qVScradbr1R0VQUdjh88T1Kal/gkBw6HzIkDhlNAt56pJGd4KT1eSX1lCy6vjZ4FmQSbw5SfqEZVNYaM70OgOUTl2TrqLjQydFJfQsEIjdUtnDtdTf7QbCJhFSWoUXG6hgEj8vA3B2msbqKp3kdWz1T8TUGa61oQRQFvvJvGuhZGTBvAV578hHVtL1y4QDgcpnv3y6elfO5zn+PrX//6FW2lrgIfE1M6l5i2xbE9p3j7T2vYsHgbYfPzJTkjgTsen8Kdn5xKWk5yTI5zOTRUN/H+39bz3l/XWkTAmkX99G2MvXtYzNupviY/617Zworn1nG0DTlPyU7itgcnMOPhyfQouLx39r8KqspqeMWcQdVUDafHwb1fvpOFX7sbb2LHkLSmuhbefnolb/7ufZrNFMCCMX35xLfnMWJmYacQVFXV2Prubl771TKO7jJmpF1eJ3d/ehr3PnFHlyF+uq6za80BFv9+JcWmK4dsk5h23xgWfHEm3TvBNu5accsQU13XCYfDl9y+detWxo0bh9/vp7i4mO7du5OT035A+u0PDvGzF9chSQKpiV5SEtzYJAldgGBYobqhiRSvmxPlrdZOaXFOahpayaskCqgRnbbveVkSiegaTllCiah4nHaa2hjM22wikYjWjlRaqnzzunntNkvYAwZB9EciSAgIJvFsO11rs4nYRckyfwdwO9rMpergtrevwgoCaPpFc6qC8eLIkoBNlpEFaPG1EuI4r5NQKIKqaKiKjsMmWdZR6AY51lW9HXMQZQFV0RE0Y7vDLhMKK2a1F7weO742FdCERBearoOq0dwYJCHeSWNLCJtNJCM9HhSN8+ebrGsVF+ekR59UGuv8nD1tCLV69E4jGAiTnOSm6nwDbq/MubImRFGgW49k0tLjOLinlGDAWPugod1RdY1Ac4jSk1X0zs/g1IlqevRKw+WUCQcinDhqkOW0zHiycxOpqWzmfKlxvPhEN1k9UmisbaTqbBOaqpGcGU9aZjx6ROXM0QvEJ3sJBMJ065mKGlYJBEKUn64lIdlDdvdkZFnk0J4y1IhKVvdksnumUHGmlvOna7A5JApH98LXHOT8yWqa6n0UTcgnHIrQVNfCuVPV9Oyfgd8fRAlGaKjyk9k9CSWsoWsaDTXNJKXGEfCH0RQFX3MQT5yDYEBBi6hoqoY30UUoEEHXdHRNwxvvJBRUUMIKoiRgd8gEfUHG3jmEL/7iAesGr7y8HF3Xrxho8dBDD/GLX/yCvn37XvZxV4F/eWIqCMLLwBQgFagEvq/r+rMf9fhYEtMomut9rHn5A5Y9u5YyMzVNlETG3j2Muz89jaIpBR2eLKVpGsUbDvP+39ax+c2d1ixqSnYSdzw2hZmPTu4Q5Xb58QrWvvIBa17cxPmTrWNJ/Ub2ZuYjk5k4f0zMk5JuRZQdKeeZb73Etnd3A+BN9LDw/93N/K/ehf0jMtFvFP7mAG89tZIlTy6zxk/6FOXx4LfmMn7uyE4hqLquU7zhMK/84h32rjsIgM0uc9uD47nv3+8ip0/sQwquF0f3nOH137/Plnf3WkKp0TMLWfil2xk09oY/q2OGW56YAmzZsoX8/HyOHj3KoEGDSEhI+NBjVu08xg/+tsr6WRAApf23Xn5OCpX1zYQUhUBEI87lQNU0whEVRTUUS1aF0Twrl80ggO1a+cGQVckUEKzB+qgq3+uyoyqaSRx1PHa7Ue2MqvRtIqFQ+7a7LrS23AXdaDErmoaOQZjj3YZFkaLo6GYV1mequjVVQ9XaV0cBJDBIpPmzy2kjEGwlt15nK2HWAaddQtV0dFVHVUwFlyAgigJOh4yqaqgRtdWjVRDwuOzWKIAAuF12/L5W1b3TIRNqQ7BlWUQJq+1FXtEFmNdRAHRBsBwLHHYRf0vrPlJSPYSCEYL+EGpEw5tgIxDQiPM60FUdh1OmqrIZQTBETPFxTqrKGwia68jITkSSRfzNQRpqW/DEOUEQSEzyEAmGqa9uIaJoOFwyqWlxREIKtdXNaIqG2+MgPsmFquhUVzSApuNNcBKX6MbXGKCpzocgCqRmJaCEFHxNfsKBCInpcQTNhKaQP4w33kUoaBBHJaLictuNgXaT4DvdNoL+CKIoIAiGpZSiaEiSgKbqOBwSakRD0zSUiILb6yTkC6EqOpquE5fgIhKKoKkaoiRid0gEfGFj/lUAm914/sR7h/Lo9+8FQBRFzp07h91uv2IE8L333ssLL7xwxcddBf7liem1oiOIaRS6rrN/81He+ctqPnhrN6ppN5fVM51Zj01mxkMTOyUGtKm2mdUvbmbZX9ZY3pcAQ6YUcPujU5hwb+znQnVd59CWY6z8+wY2vL7VEgCJksiw2wYz9f7xjJszAk9815/h60gc2nqM577/KvtMkpbVK53P//JRxtw1rMOIor85wLt/Ws2S3yynvtKY/+xTlMfD353PmLs77rgX4+juU7z2q2V88NYudF1HFAUmzR/NA9+YTd7ArlNhP3+qijeeXsXKl7dYnZCC0b2570t3MGrm4A6/ybwSbnliqus669evx+12U1RUhMNx6Q+jrfvP8NflO2nyh6hp9BEMKzgQibQxunfbZfzBqIL+w1VHHZBkAbskEQ4paJqO22n6lAIIBkFsag62VkfNOU7MWU50kAG1zTXzuu0EghE0xTiK22XDF4yAAA6bDOiEg+2Jqk0WCUdUq/rqddrwtWm7u112/M2t4icdzLa7iAiEQopZzTVtqGQBh10i4FfQzdEDj8verpJrk0WUUKvvqSBgKN3bjhiIGHdi5jm7HLIVeypLAh63g+bGgEXWvV4HqmYkGwQDEex2yThX0Zj1RYdgIIIQJaWiYJDysAqaDoJgzM9GVIu4upyyRTIB3G4Zf3PEWqPTLRPwRUA3q7pOmVBQsZ5vs0mt+9NbybIQfTEFAd1831ivia63S2cQRKOaHP2dJIvRp6IqGjabaGyXjBELQdDRVB27w4auaehoKEHVUFLqOoKgE/IriLKApmjY7AIhXwRBFBAlEYdTRgmriJKIoihIMmiK8fehKRour4OwP4KuGYb80XM27y0MYhtSEGURdON9jgZ3fXYq8740E1VVUVWVY8eOkZKSQkpKCpIkma/5hz/EZs6cycqVK4mLu2FfzI+J6TWiI4lpW9RWNPD+8+t5/7kNVJ01ugmSLDF+znDu+tQ0hnRS/nnJxsO899d1bH5zh/Ul60lwc9uD45n1yWn0HtIj5scN+kNsfnMH61/dwu5VJRZBtzttjJ09ghkPTWL4jH9t66m9a/fzx//3AqcPGIb1I+8o4tM/+USHmPRHEQqEWfHcel7+2VvUmjHTfYaaBLUDifHFKD9xgdd+tYxVL2623htj7x7G/V+/h/5dKOu+oaaZd55dx1t/WWt5Cnfvl8WCJ25n6vxRN03Jf8sQUzCETm2hqioHDx6kurqaqVOnXpbl7zp0lv/3y7etBcV7HLgdMk2BMP5gBEkWcEgCwbBmECtBwGmTjMSh6PnpICi0a+W7nDL+UARBBTRDANQSNkqxkiTgdtiIBJXWFjiGF6nSZi7V62gzy4lRRQwGIx9KlYq23SVBQND1VqW+YNg/hSIKSlg15hztsrl24yGXarvLskhE0ay2u9MuE2zTdne5JPw+1Wr7Ox02dHTQNCIRzSTcxgHsdtkgXeH2FVO3y4bf12qf5Xbb8be0vo4ul80aYgfD0zMciLQju7qIQUL19iQYDGJsk0UrjlQQBLxxDvy+EKp5zb3xTsJmBToSiuB22/H5QkiygCgIyJJAwGeQZ5tdMuZkW0Koppm+021HR0cNqSgRBUESkCQJEVAiKpqiGq+3LKJrOpraet2t945gnoP5QoqigKZqCIKxZtkmEg4q2BwykiQiiuBvCeF02hBF44yDvhCyLKJpOrIsEAwoyJKAIIDdIaGargyaoiLaRWP9uvHlLdsEIyXKJLKSLKIphj2EJArYPQ68cS7SuiWR2zeL/qN7UjixwMqM1nWdkydPEgqFyM/PR9M02v7di6KIIAjW3+DEiRPZtWsXsnzDH2wfE9NrRGcR0yhUVWPPmgMs/+s6ti1r9VLs1i+LWY9N4bYHxndKq9vX6Gfda1tZ8dz6dnOhRst9EpMXju0QI/3GmiY2LdnOule3sH/TYWt7UkYCkxaMZeK8UQwc3/9fUjSlKipvP72S53/wGv6mgCWQ+vRPHuyw+VMwCOryZ9bw6v+9Y0WN9h7Sg0d/sJDRdw7tNIJadbaGxb95j/f+tt66aSqcNIBPfHMOQyZ3/I3b1SLQEuS9FzbxxtOrqTEJfWpWIvd+YQZ3PjIRl7dzI09vWWIaDAbZt28f2dnZnDt3jnHjxl32uQdOXOCLP1nSbptAa8UPwG2XCERUa8FxLjtKRGutmppq+LZn5JYNwVAULqcNf7BVQNS+HW34mHrsEv6gahFct0smFNGw2yQiYRVZEo0KXtsnaxpolmQKu00iHFGsyqTHaWs3c2qTBRQVBE1H03QEQUAXQJSMtrumaGiKSkRpJZFxHjvNza3CLadDsiyR0MEmCZaAqnVdejsCLcpGKxlNR9d1XA6ZoEnwZFnE67bT3BQ07aAE3B4biqIiiSLBYAS73SCmsk3CZpPQNb1VcCUYBFgUIBxUrKql020zWtSaMUrgdNkIBiJIkrEqp0PG1xQySJgk4PY6jLtD8wbE7bETChqztGg6dqeMZlp6KWEVWTbOO0pkNUVFCWvY7BKyTUJTNUIBozrtcNoQBIGgP4SuatgdMqIoomoqkYCCKInG666DGm59vRwuY6RBliUkm5HcFGgJ43Aa56sD4UAEUTIIrWwz/GQFSUDXdBwOmUjYiGHQVNU4d81oM4qiAKJuPd7hlnEnOMjpm0nBmHzG3z2SxNTLE4eTJ08SDAYpKGi1ZomSU03TUNW2lXSByZMnU1xcHIsP3q7xyX0LobOJaVtUl9fx/nPree9vG6g1haSyTWLc7OHc9clpFE7q3yltwlMlZbz317WsfnEzPtOb2maXGXvPcG5/bArDpneMuj5qPbXqhY2cO9ZqNZiYnsDEeaOZfN9YBo3vd9NbpZ2N+qpGXvyfJSz7yxpURSU5K4nP/fwhpiwa16HkLBQIs+wva3jtl+9QV9EAQMHYfB79/gKKpg7sNGJYX9nIm39YwTt/WYO/yRgBGTi2Lw/8xxxGzBjcZQhqJKyw4c2dvP67FZSas+RxSR5mf3oqcz4zrdMS0m4pYhoOh9F1nfr6eg4dOsSAAQNITk5m69atjB49+vIV04Nl/NdvlhNSFJx2owoUCUcML1DzPeGyywTCimHlpINdEtsTMV1HEgQ0pfWUvB47zYEwTrsEuo5Nkmnxt6nsmu3ftkTVLplJT+ZuPC4ZX3PEIqo2WSSsaUgIiJpRkUAw5yoFg2jZJJGWlpBVtfK4HUZl0oQsCajhi0lkexGWpdQ3K5Eel90YIcCo9nrddnzNIasCarOJRtVWFlHDGkqk9eLJskGAdNUgbca5mxVSs2IK4HYb1cgobDbDxsq4vmZbvU1AARjnHW2VC9EHmtcTc95WVbXW6q1DJBxQrNa7N95FS2PA+r3b67CMktF1nG47QfOY6DqyzazARlv7dskSWoBRGVXNSrogichmm14JK4iigN1hQ9MVlJCxD7vThiBCJBBBU439CxgfmtYxnBKRkIpNlpBsokG+wyqyLKGrGoKI8b7TNYOIumyoioqOgIiOYBNRzZllBAG7y4bH4yIpPZ707in0GJRL0eQBdO9viALD4TC1tbXU1NTQ0tJCfHw8aWlpJCcnf6jKeerUKfx+PwMHXv6DPEpQd+/ezaJFi7hw4YLV7r8BdI1P7FsIN5OYRqEqKtvf28d7z61n18oSq4qa3TuDOx+fwoyHJnZKFTXoD/HB0p2s+scm9q45YH1epuYmM+OhSdzx2GSyesXen1XXdY7tOsWmN7ax6Y3tlpsAGGKtyQvHMu2BCfQd1rPLkJLOQNnhcn712T9yaNtxAAZPHMAXn3yMXoWxH7doi3AwzLt/XsPLP11KY43hVV44aQCPfH8BhRMHdOix28LX6OetP65iye/ep8W0Wuw7NI8H/mM2Y+8e1mVuWHRdZ8fK/bz6m/c4tMPoPjjcdu54aALz/20G6bkpHXr8W46YlpWVUV5ezpAhQ3C5XADs3LmTIUOGYLd/tPJv76FzfO2nS9tX90RQdKPNbRNFHLJISyBiLdhhl1EUgwjoJikS248SEudx0NwUbEP2BCJm21nQQDcFS1YcqQDxXifhiGq063WD3La0tJI3h00iEmqrwzfRppV9cdvd67HT3Nxq5eR0yoBBZIOBiLF+c8jRbpeMD0NVJRxqJa9er52WNhVTl8uswprHsNsvWlf0OmitIwJiW5Ko6zjtUmvFVBJxu21GelJ0NjbOgaJqqGGVSFjB4bARiShG5VE3Wu/RmwO704YsCYRDEWvW1eaQcbiMcYlQIIyggzfBgaYaLe1gIIw3zmnEe9plNFXFZhNpaQhidxptc1kWaa43YmTtDhmH04avKYimqAiSYJFn3VyHJEtGtTM69yoI1usbzbYXRON1D4cVnE4biOaYg2JUOxVFQYvoZvsbJJvRWpdlyXqvGRV246ZGkADdKLWKooAgCmiqiizLuDx24lI8SG6R7v1zmHjPaPqN7HXVbXRd12lsbKS6upq6ujpkWSY1NZXU1FSqqqrw+XxXJKVR7Nu3j89//vMsXbqUXr16XdXxr4B/nW/tGGHwwEJ9ywdbievAVum1oOpcLSv/vpH3nttAjel6YrPLjLl7GLMenczQaQM75Qu5+lwtq17YxIrn17cjioWTBjD9oYlMnDeqQ4RLuq5zct8ZNry+lfWvbaGytMb6XXbvDMbNGcn4OSMZMKZvlyEmHQlN01jx3Hr++u2XaaxpRhQFFv3HHB767oIOn2n0NwdY+vsVLP71u9ZM5bDpg/n0jx+gz9C8Dj32xet49y9rWfLb92ioNkzw8wpy+cS35jJh7ogu8z7QdZ0DW4/z2m/fZ+fqA4BRmJm6YDSLvjKLbn07xnHgliGmuq5TXFxMOBxm0KBB7Soxe/bsYcCAARZRvRROnKnms99+pd2AqNMuEQwqrUTMIREIt4pebJJoVP/afDU6HRKiKKEpho9pvMdBc7QCKGCIoXwXeX3q5v+YFb6LbZfivA5amoIGiQVsdpGIqmOzSYawJ6Sgqiq60f1GEAQ8Hgf+lpDRpsckkb5WRb09Kghquwa9fdvdUHIb56trOh6XzRJ/WRXTlpDR4sZoUxtzriKRYMSodOpGe1iWjRlDXY1WUkEQRbxeO4GWsCHw0XWjWukLG4xdB6fTRrBN/KrdIRP2twqVBHMW07y8rdBaK86SLFrzpGCIpkJm5VcUBJxum9U+kW0Sbo/dEGCpGpJNwhPnJOQPEzJHMLwJTlRFIxwMo4QUXHFO0A11fCQYRrZJGKO2GpqiIYimJ6wooGsask1CkkR0TUNRVOwO2XisOQeraxqariEiYIsalQsaICJg3tSImEQUsxWv4XQ5iU/2kpqbRG5+Jv1G9mHQhH7YHTb2799PQkICeXl53CiCwSA1NTWUlZURCoXIysoiLS2NpKSky35gHjhwgE9/+tMsXryY/Pz8G16HiY+J6TUizZutj0u6l0lzR3LXY5Po10WqcqqisnNlCcueXduuiprRPZXbH53EzIcndYovqqZp7N90hBXPrWfjku3W7J/DZWfcnBHMeHgSQ6cN6pBWv67rHN52nHWvbmHD61tpMBOEwJhJHT9nJBPnj6ZwUsE/vXCqub6Fv/9wMW8/tQJd1+lTlMc3n3+iU/xhfY1+3vjteyz5zXLru2HaA+N55HsLyO6EhLMogv4QK57fwGu/Xm7dtPUYkMOD35zDxHmjutRc8qkDZ3n9dyvYsHSXqY8QmDB7GPd9+Q76xlhgeMsQUzBSZ+Li4j70IVtcXEzv3r3xej96/qG6tplFX/oboiAgAppqzD/6zQqgIAh4XDLBoIJiioSshCZLyGJGgbZp5Xvcdnz+MII5q2qziYRNYZPdJhpt+aDSOhIgGIQ4ohoqbD06H+pr631qVCbbnmWrAt44jttpIxBSLEsKp00gGGwVpDgcMghREqm0qswFo0IoSSIiGkF/awXUG2cQZGvkwC4SttKjdKNyGLpoPEBvPx5gkcToOly2VjsoHZxOiZB5TD1KVJtbK6g2u2SGCWhGhdIcLhVEwSTQrYTU6NSb5WhrxtFszTe3jgt4Epz4GgOtoxMJLnzm3TK6jifeRdBvWDGpERV3nBNVUa2ZVYfLbt5X6IQDYWP2FVAjCmpYteY8RXN0wOYwWvdqRDW2CUYrSZYlNF1FEETD4kmS25yDjqAbjgMOtw1PkouUjGRy+qTTe2geQ6YOID7pw61PTdPYv38/iYmJ9OgRuw+HM2fO0NTUxIABA2hsbKSmpob6+npcLpdVTXU6WwfiDx8+zOOPP84rr7xCQUFBzNbBx8T0mpGV1E0fIrVGwfYe3I27HpvM1PmjOl3E8FGoOlfL6hc38/7zG6wKoigKjLqjiFmPT2HkzM5RtPua/Gxcsp3V/9jE/k1HrO1p3VKY8dBEZjw8qcN8KFVV49DWo3ywdCcfvLWTyjPV1u8S0uLbkdRbKef8WnFg8xF+9vgfqDxTjc1h46Hvzmfh1+7u8HQxMGzHXvrpUt55ehWRsKEBuP2xyXziv+aR3q1j29VtEQ5FWPnCJl75v7epPmcQ1Nz8LO7/+j1MWzS2S92kVJyp5rXfvs/qV7ZaiWzDphaw6CuzKByfH5Ob4FuKmEYiETRN+9D2gwcPkpube0n/0ijC4Qh3PvR0u285h10mGIpYNk4uu0RQ0dq18kVdJ2QSQDCEQ+GwahAwVcVlk61UIzBIZTiiWkp3A3o7cmuTBJSIbm3yeuxEIiq6aqjdjVavUYlzOmzoum54TkYJsQBet4OWllYS+aG2e9vZTfO4AKiatS6beS7Rtrvb1SqgEsVWRb1mEkSHQ0YwK2ahQNggyhgWRzZZQokooOrG+YtG9VMSdQI+1XysQX41VUMJK0RCCu44J5GQgmyTLEIbDinINhGbXUbXdHP+U8dml7HZJFQ1YpJbY5tsmvqHA2GjShvvJBJWiAQjqBGVuCQ3oWDEEC2FFDwJLvwtYXTNsJxyeR0EmoMm+TWESEpERZIkNEVFtsvoJgGPhCLYHYY1k6aqaIqOzSGZRvWqYd8kCsY9AFhCJx2jLS+JomnpFMHjdeNN8pCcmUB6XioDRvVl6NQC4q5ywFzTNEpKSkhKSoopKS0tLaWxsZFBgwa1q5Dquo7f76e6upra2lpUVWX9+vV069aNJ598khdffJHCwsKYrcPEx8T0GjFixAj97deWs+z5jax6+QOazOhll8fB1AWjufPRSfQpvHxyV2dB0zT2rjvEe8+tZ+s7u61uS3JmIjM+MYGZD08kt2/nJNNUnK5izYubWfnCBi6cbiWJA0b34bYHJzBpQccZ6Ufb/Zve2M7GJdsoP37B+p073sWImUMYc9cwRs0aSnzKDVuwdTn4mvz88f/9nRXPrQeM2dPvvPJVktI/+js9lrhwppoXf/wGq17YiKYZuoD5X7mT+75xT6f60oZDEVa/uJlXfvGOdcOW0yeDh751L5MXjulSFdSainrefHo1y57faDnrFIzuzYNfu4vh025MWPZPQUyPHDlCWloaKSmXvsOJRCKUlJTwrZ99gK6Dwy4hiiISOr6oMbtgtNhDEdVquUfn/NqehcspE/S1CpVcThv+sIJdEi07pojpW4ZgEFlRwCCvUZ9NlxHtGYVdbi8AkiTD2qedP6hsiq4sEmm3IkglUTATlVqFSna7bHp+CkbFNKwiiDroRqqPKAgI6K3rEATi453GPsy2u9Ntb2flFLU4akuy0bR2b0C7QzZFPeYsrMduEUt0sDslwm2IvMtjJ9CmummIny4+Zut5IwqGxyaCQWQ1HafXDqZILBKK4PE6zTahQVZdHgdK2BBDKWHFGBcwbzZURcXhlAm0hIyWua4jOyQE3SCYSkTB6TIiY1XFmDN1OGXCYcP8XpYlRMmIjBWFqNODhqoZ3qQChhWTzSmSnZdJTp9M+gzNY8jk/iRnXn/bUtM0iouLSUlJuWI86LWgrKyM+vp6Bg++sslyJBLhT3/6E88++yyqqjJu3Dgef/xxpk6dGrP18DExvWa0FT+FgxE2vb2bZc9v4ND2VgulvkU9uOuxyUy5dyROT2yN6K8XDVVNrPzHJlb8fQPn2hCzQeP7ccejk5k0b5TRvehgtG31b1660/oMlGSJUXcUMf2hiYy+a6hlpRZr6LrOqZIyNi7Zxpa3dlJ66Jz1O1EUGDi+P+Nmj2D83JFk5sU+6epmYvfqEv7vk09TV1FPam4y33npqxSMjdlY0BVx9uh5nv/B62xcsh0wKtePfG8+sz45tVMquFEoEYW1r2zlpZ+/Zc1Dd+uXxYPfnMPkBV2LoDbX+3j7mXUs/fMamqOCriE9WPTvsxh3Z9F1zcveUsRUUZR2tjRRHD9+nISEBNLTP/xH6vP5KC4uplevXjz+pddQw60VQ7fLjj8QRgckQcAuCwRDrUOYgmCkCgkIhmWUruOKmu5HxTumcj0KQRCs6lqUnAnRi9BW/d6G8Lk9dsN6R9MJBxXTpN5YhMMhIwgCWiRCpI3a3eWKmsSbBNBlMwigeRxJEg1y2waCgKHwNn92OM3UJYswmzn30XEBtw1/c8iay7XbjdjVtuRUlA0fTF3RUSMKssOGphoJRHobv01BFJBlAafTRnOD33i+aKw7ElBRFcUkrka1UtN0MN0IrPlYC3q7bZIsmJzVSNmymRZOounVabNLKGHVMLOPGMQ0aAqllIiCy2O3UpQ0VcUd5zISrBQVXdOwu+woodbrZDMrppIkGKMMgmiMaLjtxCV6SEj3kt07iz5FPcgtzOBc5VkcDgd2u53U1FTS0tJwu6//LlxVVUpKSkhNTaVbt9iZVZeVlVFXV0dhYeFVfZiUlZWxaNEinnnmGYYPH87u3bsJh8OMHz8+ZmviY2J6zfgoVf6ZI+d5/4VNrH5lKy2mhZI7zsn0RWO54+GJ9OoiyTS6rnNw6zFW/H0jG9/YYRFDT4KbafeP4/aHJ9KnKK9T5mYDviDb3tnDmpc3G3Ox5o1/XJKHyfeN5bYHJ1Awpm+HrqXiVCXblu1h27u7Kdl42DJsB+g9JI+xs4czcmYR+SN7dynCcr2orajnvxf9mkNbjyFKIo98fyEP/OfcTp2TPrTtGH/+5ksc2noMgOw+GXzyv+9n4rxRnboOJaKw5qUPePFnb1kV1Ny+mXziP+d2uQqqvznIsuc2sOSplTRUG84H3fpmsuirs5g6f9Q1jSP8UxDT06dP43Q6PxR/WFNTw9GjRxk8eDDx8fHcPf+3Rm49gGAq6ptDra1tK0EIQ8Ee/a8Vn6Tj9jjwNbe20D0eI/rT4ZCRRKPSGW7jeypJAg6bjVAoYrTEAbfb0S6W02GXrAF80+3HEDrpreMAkiygtKmYupzGPCxExVA2fE0hq2Vus0uWQCwUNNruoiQgiSJ2u2wozgXBqJgKBum02QTCftVIVQI88U5UTTNiMoMRZElCVTTsDmO/kaCCpiogiKZfp4CgawRawpbCXbSBEtJQggqIAvGJLiIRo6UeCUWMec6Iiq5rKCHVIpk2c42RsEEOowlISkRpFRzpOliiI+P8BME0ulc0JFlC00xiGlGtiqnhcxoG0wzfE+8iFAijaRqiKOJw2ohE53cFAdkuWeMMAO44B95ED8lZiWT3TqPv8N4MmjiAhIta8M3NzRw4cIDBgwfj9XotUVF1dTWhUIjk5GRSU1NJTEy86rtKVVUpLi4mPT39inn114KzZ89SW1t71aS0vLychQsX8oc//CHWRPRifExMrxFXsosKBcJsens3y5/faFnBAPQblscdD01kyryRXWYW1d8cYMOS7bz3t/Uc3XXK2t5zYDdmPDSB2+4fT2J65+TU11c2su7VLax6YSMni0ut7Rk9Uply3zimPTC+Q1ONwBDt7Hh/H1ve2sGO9/YRaAlav4tL9jJs+mBG3l7EiJlDOiUatqMQCSs8971Xef2X7wAw94k7+MKvHu1UUqjrOpvf3Mlfv/MK5SeMCv6QyQV87ucPdaqCH4zrsfqlzbz887ctgtpjQA6PfHce42eP6BLixihCgTArXvqAxb9bQZU5L5uVl8qir97JbfeNuap56X8KYlpWVoYgCFb1SNd1SktLqaqqYsiQIVZM6dz5vzPU2iY39bjttASMtrzDbsxDBgOqFckJxswoCIYYRtVwOW3t4i49Hju+ptCHvz3Nip6AIUBSTAslXTftoaKEWDBa+0aiEq0VTAHLE1PXNLSIYpnhC6JAXJyTgC9stOh1HafL3qpujw44tgkPwNA9QZvEKbfZ/o+u0+21GxXSqHDJaTOul/mzLEtG5dDKWTV33Ob1d7hshNoIuVweu+lbalaL45wE/GFE0RBz2R1G695mlzGGC3RCpsBIlIzYzlDAMN4XJYFIOIISMfw9QTfGDsxzlszH2xwSmooZ/6laRFMz3zsOt4NwIIRoVjolWSASjJj7NKybBEHA4XEQn+ghJTeZnD4Z9BnWk8LJ/XF7r1ztbGpq4uDBgxQWFuLxfNi2R1VV6urqqKmpoaGhAa/Xa4mKbLZLtwg7ipSeO3eO6upqhgwZclWk9MKFC8yfP58nn3ySyZMnx2wdH4Gu84l7i+BafExPHTzHe3/fyNrXt+Mz1cldcRYV4NT+MlY8v5G1r22hqbYFMNrrY+4ayu2PTGLEjMJOqyCdKilj9UubWP/aVmrML1+AXoO7c9snJjDt/vGkZCd16BrCwTD71h1k+/K97Fq5r50FFkDfYb0YfedQRt5RRL+RvbuMBdG1YOs7u/if+58kElaY+chkvvrHz3RqSx2MquX7f1vPc99/jabaFgRBYPpDE3n8R/eR2gkuEhevZc1LH/DiT9+isswgqH2K8nj42/cyelZRlyKoSkRh7eIdvPrr5ZSb7830biks/NLtzHxg3GXHcm4pYqqqKoryYX/P8vJyIpEIeXl5aJrGoUOHACgoKGj3x3jv3N8SauPDGed10twUsKqfoigYGfbRaqmGad9jnohueH0GoylBum5UPwMRHKYIJxJWW70+BeOD0+WwEQiELUsjt0XWDBiWUBcRbq29RZLdIRFuk+du/QxG273N3KquG9nsmmpUO6PrtztkM6lHR4uoBmkMRJBlwZiFtEv4GoMgGITc6bLhawmiRYzITYfTjq4ZLXvV3CbZjWhOVdHRIgo2p4wS0YxxBlXD4bK3km1dxx3nwN8UtK6P22P8LMkikmwkKflbAoblkiyi6xphv4IkC5ZhvpGOZQiVNE1HlDCrw0YF1eaSUUKqpXa3O21ETIItSUaykqZoIOqomoon3klKehJpuSl0K8ihYHRv+o/Nv25z+IaGBo4cOdLOa/dy0HWdlpYWqqurqampQRTFdi1/QRAsUpqRkUFOTs51retSiJLSwsLCqzrfqqoq5s+fz89+9jOmT58es3VcBl3nk/YWwfUY7Af9ITa/s4flf9/4oVnUWQ9PZMq8UbjjukYVNRJW2P7eXlb8fWM726nU7CRue3ACMz4xgW75nSOY0jSNA5uPsublzWxast3yxhRFgaJpg5hy31jGzxlBXFLHJ+aUH69g54pidq0sZt+6A61dOIxZyWG3DWbotEEUTR14S82m7lyxjx8t/BWhQJgRM4fwo6Xf6HRyCoa91Us/Wcpbf1iBYrq1LPx/d7PoG7M7Zfa5LSJhhfefW89LP3vbilzNH9aTx76/gGG3DepSBFVVNTYu3cXLv1xGmZmGlpQez4InbueuxybhdH94xv2fgpheuHABn89Hbm6u9eXdvXv3D704C+f9Hl9LyExvUomLc9JsttTtdglJBE2htRWP0RLXVMOmSNOM+NC21k4ul41AS3vfUut6mJVIu11qo34Hb5ydlsZWYup02VBVY8ZUCStWRdLhtCFJho+pKOiEQ5oRKemQcTokmhuC1niA02MY6uuqTigYMVOYjIqkIBhvZAEdRTHa4kZlQSXYYsypynbDzzPoC5lVZd3y89Q0jZAZ8SmKoqGMVzRCQeO87Q6bIQAKK6a3p2pUenVDHORrDlgVTofbRktdq1WTO86JvzmIZOa32+yGEMkYRTCy5yOhsGUXpSoaqmYkJImCEe8p2kSjEmxWimXTIUAURQTRCFKw2W244twkZSaQ0T2ZHgW5OLNsZPfNoH///jH7Q66vr+fo0aMUFRW1s1O6FoRCIWpqaqipqSEQCJCYmEhDQwO5ubkxrZSWl5dTWVnJkCFDroqU1tTUMH/+fP77v/+bO+64I2bruAK6zifsLYIbTX661Cyq0+Ng0twRzHp4Iv2Hdw1fVDDmEVf9YzMrXtjI+ZOV1vYBo3oz8+FJTJ4/Gk9C56iqw6EIO97bx5oXN7N9+R7LYUC2SQyfUcjUReMYO3s4Lk/HE/xQIEzxeqOauuO9Pe1M/QEy8tIomjLQJKqDunzb/+jOk3x37s9pqGrkgW/dy+M/WnTT1nL+ZCXPfvtlNr2xA4CsXun8268eZfSdQzt9LaFAmGXPruW1Xy6j3vTELZw0gMe+v4CBY/p2+nouB03T2LJsLy//ajkn958FIDEtjgVfvJ27H5/cToT5T0FMa2pqOH/+PM3NzfTr14/U1NRLPv+BOb+jubl1JsfrNS2X2pjOt8ZfYlTYRMFK/NF1nbg4J/5A2DSd13E6bYRCCg67jI6GGtbM4XTBUOU7Zex2CX9LyBIjeeKc5t2sjhLRkCWhvRm+BugaQpvvZJfbhr+lNZWp1f+zdaY0angPGORWUdu13WW7iNKGdFuKePP3bq8Tf0vrPu1O2RRjCdaYrRpWzCx30bKxEgVMImr4qIYDRnKTKInIskBzvR/ZTJtyuGw01/lbBWhxdgLNQWSzdS9JAmFznlXTjKq0as5+Cta5GYlJmpknK6AhioaVlMPjIC7ZTUJaItl90uk9uAcDJ/UjLbvVsUHTNA4ePIjL5aJ3794x+5Ktra3lxIkTFBUVWeMjN4pQKMSePXuw2+2Ew2E8Ho/V8r9c0tmVcP78eS5cuHDVpLS+vp558+bxne98h3vuuee6j3sd6BoM6BZCrCJJQ4Ewm9/Zw/v/2Mz+Lces7XkDspn1yCSmLRzdZdKldF3nwAdHWfXiZja9ucOKHLY7bYyfPYLbH5nEkMkDOq2d3VTXwuY3d7Dh9a0Urz9kVXUdbgfjZg9n2v3jGT5jcKdU/nRdp+xwOXvXHmDvugPs33iYlgZfu8fkDezG0NsGMXx6IYMnDugyM8ZtUbLpMP8x/UfoOvx0xbcZOnXQTV3P/s1H+N2X/saZgwbJGjWriM/+7BNW7HNnIugP8dbTq3jt18usqNNRtw/hke/Op28nz8NeCbqus2PVfl78v3c5tvcMAAkpXu79wgzu+dQUPHGuW4uYappGJBL50PaTJ09SWlrK6NGjLznPF8WjC5+ivtZniJQUHbfbZqnjDXslHV2FULDV3N7ltqEpGppmJP943Kai3jwrh8PIdm/37WnNd5ofRlGTeVOp7/YYVVbAnImUCUctlkxlOZJgmvbroOk43HZCIRVJMJ7jdMn4mkJmhdAQ7Ph9QYtEy6YJvKa0Rmk63UabXVUN83pXnIOQad2kaapR/fVHVflGxbZtnrsoiUZbH0NgJIoCqqaiKZpJVgVkWcbfEsRub437bGkMINtES3XvawxY1Ve7U0YJKVZqkmjabiHoaKqGpqnINpvhbiAKCDpogkJiShLxKR5Sc5JJ6RFPUvdEknp6SUpOsqzDLhXJqaqqZUgfi5SkKKqrqzl9+jRFRUU3RBjbQlEU9u3bR05ODllZWei6js/ns1r+gNXy93g8V02wKyoqOH/+PEVFRVdFShsbG5k/fz5f//rXmTdv3g2d03XgY2J6jYgVMW2Lcycqef8fm1j1ylYra9zutDH+rqHc8dAEBo/P7zIzjEFfiM1v7WLlCxsp3njY2p7RPZXbHhjH9AcndJhp/qVQX9nIxiXbWPfqVkvlDYZYafycEUxaMIahUwd2mom6qmqcKi5l77oD7Ft7gP2bj7Sz6JNkiV6FPSgY05cBY/pSMDafjB5pXaJK/vcfvs4//mcJCWnxvHDid5dsA3cmlIjC20+v4u8/Woy/KYAkSyz497t46DvzOr29D9DS4GPJb9/jzT+stIRxE+8dyeM/WNip7/mrga7r7F57kH/837scMYWN3gQ3933lDhZ9ZdatS0x1XefkyZPU1NTgcrkYMmTIZZ//6fueprKiyfrZ7bGbFcKLvv2siinYZAElquTXjfa2ZXeEQQo1DWRZMFvxKoJJruwO2SBrNoHmeuNNIooicQmGqXwkZAh5bHbZVKJL6Kpmiqs0BN2oMAqCgChgpBeZaneXx0HAFyIcDINmKMV1XTcU9AHDY9Nml5FtEpqqEgoarXgBk7RqOpIkEGgJYTeTimyyRHOdD8msXtockhHXZjoTCIKAZiY9SLJhFK9rRv57dDxAFEXCgTCSTQJdR7aLBFvCxmN1DYfThmqq/nV07HbDHir6HpLM64hgWFElpyWQnJVERo80ug/MYfDEAR/5B6brOk1NTZYBvM1mIy0tjbS0NJxOJ4qiUFJSEnPxUGVlJWVlZRQVFX2kcOlaoSgKe/fupVu3bmRmXvp8w+Gw1fL3+XwkJSVdMTr0Wklpc3MzCxYs4IknnmDRopvSPrv534a3GDqCmEYRCStsfW8f77+wiT3rW0lfVs80bn9wPDPuH0dKVmKHHPt6cOFMNate3MTKFzZRdbbW2j5gdB9mfGICk+ePxtuJVd+K01Wsf3ULa1/+gNLD5db2+BQvE+4dxeSFYymcNKBTbYAiYYXD246xZ81+9qzez7FdJ60KbxTJmYkWSS0YnU/f4T2xOzufeKmqxkO9vkjt+Xr+uPtn9Crs0elruBTqqxp5/gev896z69B1ncyeafzbrx5lzF3Dbsp6GqqbeO1Xy3jnz6sJByNIssQdj03mwW/OJjW7cwVbV4Ku6+zdeJiXf7mc/VuOcddjk/nyLx+6NYmpoigcOHAAp9NJt27dOH78OEVFRZd9/hMP/YWy0zWIgoCmaIYXaMCY6XQ4JXRNNWZBLX98gfh4BxHFMG5XwhqeOCf+loBJJo3ZU9WM6RQEg3hKoll1jbbI45xmG9742emytTeulwQrRz36GEHCqnSC0f73NbXGarq9DoNUm8+JJieJkogAqIqGrhhtd1mWDMGTpqBFNKutLskCgaYQsl3GZpewOWw01/mMuEybsc3fFDAERoKAKIKiaIgYJFoQBMKRMJIYPYZm+Kcq0ZACQyHf6qdqCJGUkIKuawiCiMNtx+V1EpfkITU3iZy+WaT0SsCdaWfkmJE3RPQCgQDV1dVUV1cTiUQIh8Pk5ubSs2fsZuQqKiooLy+nqKjokhXa60EkEmHfvn10796djIyry23WNI36+npqamqoq6vD7XZbLf/oWMGFCxc4d+4cQ4cOvSpS6vP5uO+++/jkJz/Jww8/fEPndAP4mJheIzqSmLbFhdIaVr70AStf3kLN+XrA6KqMmjGYWQ9PZMRtnVcFvBI0TaNk0xFWv/QBm5futKpJdqeNcfcMZ+ZDEymaOrBTCeGZg+fYuHgbGxZv4+zR89b25KxEJi8Yw5T7xt4UNX2gJcjRXSc5vO0Yh7Ye49C24zTXtbR7jGyT6F2UR8GYfAaM6Uufojyyemd2yvX75u3/w961B/jfZd9ixMzLF6M6G4e2HeM3//Yspw8Y7f2xdw/nC796hMy8tJuynuryOv7x4zdZ2SbRavbnprPo/93dJRPEijcdIbt3Buk5ybceMQ0EAtYXd05ODqFQiAMHDjB8+PDLPv/rj/+N4wfNu1RRwOWyW+TO+vZrUy0F04S+jRre43Xgawy0JjJJ0WSiVvW7kRevtXqOeu3tBFNuj61VmY7ROjEU9Kq1D5tTMmJLVQ00o+0eaAlZIwJO0xTemjGNRpC2eS101chlFyUja95mVi9lu2wKjSRaGgKIkoAsi9gcMoGmIKIoWNv8zSFE0SDpoukXKplCJkUxRh4kSTKmFzQdySagq4abgSCKiKIOCLi8DryJXlJzk8jonkZeYS4F4/LJ6N5eHVpWVkZNTc1Vzz5eDcLhMHv37iUpKYlQKERLSwuJiYmkpaWRnJx83R/85eXl1pzmzSSlFyPa8o9WUzVNw+l04vf7GT58+FWR/UAgwKJFi3jggQf41Kc+dV3riBE+JqbXiM4iplGoqsaedQd5/x+b2fZ+sTl/D8kZCUy/fyy3PzienN7X917uCAR9IT54excr/7GJfesPWduTMxOZsnAM0x8YT+8hnVeJ03WdMwfOsv71bax/bUs726fUnGTGzxnBxHmjGTi+300xVNd1nfLjFRZJPbztOGcOnuXi732Hy073Abn0KMilR0EO3fsb/zJ7psfkBkXXdQ5tOcZ/zvoxoUCY/3rxy0y5b9wN7zfWUBWVpX9YwQs/WoK/OYDT4+BTP76fez4/46aNu5QdKefv//MGm97cCRhhFfd//R7m/tuMm1L5vhJuqRlTXdeprKzk0KFDDBw4kMTERMConu7evZvRo0df9vnf/cILlOw43dqGt0mGmEoQEAXBNFxvrX7KsmiQOb9iVS89Zg47um4Z0WumH6csG9VC1cxkl2wSdruMzSHR0hhAMyuanngnali18txFWTLa+LqhzI8EI9itFr4Ri2mzSQR9YWx2yRgxcEi01PmRZBFBEpAkiZA/hK7rZsKTya51gzxLkql494WwmVZMNocx7ynbJKPaa7b2RdFIUZJtZmKSSUSj5v/GNY8gS0aGvCQZbX2Hy44n0U18ipf07qnk5mfRb0RP+o7sc0WSGR3L8Pv9H8povxEEg0H27dtH3759rchaTdNoaGigurqa+vp6XC4XaWlp1yQoOnv2LDU1NVdts3Q1iJLSHj16XDLF7HpRXl7OmTNn8Hq9+P1+EhMTSU1NJTk5+ZJrDwaDPPjgg8ydO5fPfe5zN3u27GNieo3obGLaFvVVTax6ZQsr/rHZ8i4EGDSmL3c8MoEJdw+76XOBbVFZVsOqFzez5uUP2qn6ew7sxm0Pjmfaos4dTdB1naO7TrLu1a1sfnMH1W3GD5IyEhg/dySTF4xh0IT+NzX1x9fo58jOExzedpyju05ysvhMOz/XtpBkiazeGeT2zSIzL43MvHQy8tJIzU4mNSeJxIzEjzyXSFih8kwVh7ef4K0/vM+x3cYsYnafTH635X86xYbrelF7vp4/fv0FNizeBsCgCf35f3/6DDl9O8fK7FI4vvcMf/3ea+xZewAwfEUf/d4Cpi4a26VSpG4pYhoIBNi5cydDhgxpZ8Wj6zpbt25l3LjL3z39+Csvs2PjMWSbZMxEihgpTlpUtS5jk0WUiOlFqut44p1WxVRVNWQZIgHVyKE3w9GVsClsEkCSRBwOmYA/gm6q4uMSXQT9YTRVQ42oON12FEU1LZ00Q5GvaZbtkqZo6JqKpurYHDZEc7/N9T7spoWUbJdorvcjigKyzZzt9IdQVc2I5gQjflQEm81IZZIkkXAoYs1/2uxGbr0gROc9bURCYTDXJcoCqqIhIiBIIqJokHnRIZKelUxa9zSye2eQP7I3A8fl43Bd3xeOruscOXIEIKbWTX6/n5KSEvr372/dxFzq2G0FRYIgtBMUXQqlpaXU19dfdUrS1SASibB371569uxJWlrs2j5VVVWUlpYydOhQZFm2SHm05e90Oq2Wv9PpJBwO89BDDzFjxgy+/OUv32xSCh8T02vGzSSmUei6zsHtJ1j50gdsfGt3a6xovIupC0Yz84Fx9C3q0RXeX4D5GbTzJGte/oANS7ZbBv6iKDDstsFMf3A8YzuZVOu6zrHdp9j8xg42vrG9XSU1KSOBifNGMX7uKAon9u8SIxMtDT7OHDhL6eFzlB0pp/TQOc4dq6CqrOayzxMEAVecE2+ix3IDUFWNSDBM9bk6q1gEEJ8Sx12fnc78r95FfHLXJaVtsXnpTn73pb9SX9mIzWHjE/91L4u+cc9Nfc12rSrhmW+/ymnTUaDnwG586r/vY+TtXWM04pYiprquEwqFLvlhtmXLlisS019+83U2Ld9v/RwlgebOjW2iYGbBm214j9mGj86Huu0Em4MXpR/R7v873bZ2bfZ21k7m3GUkpCIIrSp8LaIgyUaL3Wib6wT9YeyO9kQ06u9ps0n4GgOGlZNoiKNCgYjVdtcNzylkm0FsjRa8gBYxSCi6jt0lEwkqhtBIEEzjeRXZIeH0uEhKjyMxI5H4NDcJ3eJJ6OHBFW+nX79+ZGRkxISUaZrGgQMH8Hg89OrVK2ZfVC0tLezfv59BgwYRF3f1szThcNiaSw0GgyQnJ5OWlkZiYiKCIHDq1ClaWlpiWtUNh8Ps27cv5qS0urqaM2fOXFaUFW35Hzp0iO9973t4PB7Gjh3Lr371q5hVgi+GqqqMGDGCnJwc3n333Ss9vGswl1sIXYGYtoW/OciGpTt5/4VNHN1zxtqeNyCbmQ+OZ9rCMSSmdp15t0hYYeeKYla9uJkd7++z/EhdXifjTaunoikFnVph0nWdE/vOsHHxdjYu2daOpMYlexlz1zAmzB3JsOmDb4oa/HII+kOcP3GB8hMXuHCmiopTVVSV1VB7vp7ainoaTP/NS0EQBNK7p5DTN4vJC8cy7YEJXe78rgZNtc386T9eZNULGwEoGNOX//jbv5F9E0dcVFVj7csf8Pf/ecMSBg6/bRCf/vH99Bp8cxPfbiliCoav46VwNcT0D99/k3Vv7QXBEBbpmo6mGUpwSTKqiLpm5LMLZka6023D3xhEjRhqdE+8CyWsGDnuIaNSKtgkw+/UTEVyuh2Gob0AmmpYO/mjSU+6js0mGfZQYKrdjepmlByKooAkG/OgdocRxSnbJHxNZtsdHdkuEWgOGndduiFO0jTdsHBSWyu6BvEFMLLkMYVMkkPGk+DGHe8kOSOBjJ7p5A3MZeD4/qTlpnzo2p07d46Kigp69OhBXV0d9fX1eDwe0tPTSUlJuS6RUjTNKDU1le7dY/eH0NjYyOHDhxk8ePBl7cOuZn11dXVUV1fT2Gh8eMqyHFP1fZSU9urV6yP9d68HUfuqoUOHXtVaFUXhk5/8JA6HA1EUKS4u5ve//z2TJk2K2Zqi+NWvfsWuXbtoamr6mJh2ALoaMW2LUwfPsfKlD1i3eDuNZlVStkmMvr2Q2z8xgeFTC7pE9S+Kxppm1i/extpXtnBkZ2siVnJGAlMXjWP6g+M7/Utc13WO7z3NpsXb+eDtXZwz03TACEIYPWsoE+4dxahZRV3Sj/RiqKqGv8lPS4OfQHMAQRSNwBWbRFq3FOyO2HzWdgXsWbOfX3z6T9SU1+H0OPj0/z7A3Z+bflOt1sLBMG//aQ0v/ewtfI1+BEFg5sMTefR780nJ6thY3Y/CvxQxffZ/3+Gdv29BkkXsdhkECPuNqFBBFLA7bYanqD9MOBQBBDzxdjOPHkLBCA6HTDSXXVM0gkGjSmm3yyBiJjfpaBFjRhWM3zU3+o2fzTSkYEvQav1HIydlWbI+lGVZMBKfJCNa1O401hWt1BpVV8P8Ht3Yj6ppKJEINrsNQQBJFPAkefAmmolHeen0LuzOwPH9SMn+MPm8FHRdb1cljFbRojGaVVVV1NbWIstyO2umKyE6T5mbm0tWVuxmburq6jh27NhVx4FeDXRd5+jRowSDQbxe7yWtqK4HUVFWnz59rPnXWKCmpoZTp05dNSlVVZXPf/7z9OnThx/84AfW+1FRlJgFBURx7tw5Hn30Ub797W/zq1/96mNi2gHoysQ0ikhYYceq/ax88QN2rt7fGiualchti8YyfdFYuvXtWr6L5ScrWffqFta8sqXdPGqvwd2ZtmgskxeOIf0SN/UdjbLD5Xzw1k42L93J8T2nre0Ol53hMwoZe88wRt85jMS0+E5f28f4MJrqWvj9l//G+te2AjBkSgH/+fwXbxoJjKKxppmXfvoW7/xlDapiRK7O/8osFn3t7napTJ2BW46YhsPhD6kBwSCmY8eO/chWsKqqvPzbVSx+aq0xU2qqzDXNiA3VzWx6t9dBJGREa6oRFafHhhrRWlv8gGZ6jwqCgKIYIiabQ0KWREOZLgmE/K3enbIkEvQbPqJRcZISVrGZ1VFd19HRTDGRYUFl2D9pllm/3SFZLSVRFBBlCU1RsDlsuLwunHE2bF6R/CH59Bnak/6jepOWe2MVuGuZ/WxrzaSqKqmpqaSnp1/S+D0YDFJcXEyvXr1i3ro+depUTJOXotdAEAT69etnncvF55uSkkJaWhpxcXFXNY4QCoXYt29flyClX/7yl8nIyOAnP/lJh8/8LViwgG9961s0Nzfzi1/84mNi2gG4FYhpW9RWNLDq1a2sfPEDzp9ubVEXjOrNjAfGMWnuCDxxsbnJjAUMgdIpVr+0mXWvb7OSdgAGje/HtEVjmXjvqJsyA3nhTDWbl+5g85s725n5C4JAwdi+jL1nOOPnjOxyZuv/itj0xg5++6W/0ljdRGJ6PN949gtdYsaz/MQFnv3ea3zwlvEZkpqTzKf++z6mLBzTaZXdfxpium3bNkaNGvWhC6frupHfrmm8+9wmnv/fZR+eDW03H2on2CbJyemxE/KHjEqhoXVCCSvIdkNQpCoquqYiiRKCObNqs4mEzdlNTdGM5CdTMQ+60a7XzTa7Oe8pSgK6LqBrhsWTbBfRFBVRlLC7ZDyJLjxxblKyksjslUHeoBwGjM0nKT2Rs2fPUlVVRWFhYcxazKqqcuDAAbxe7zXPfkYiEWpqaqiqqiIQCLSb0/T7/ezfv59+/fqRlBS7O8QLFy5w9uzZmLbZdV3n0KFD2O12+vTp85HXIBKJUFtbS3V19VVZUUVJad++fUlOjp3ZcW1tLSdPnrzq9ClN0/ja176G1+vlF7/4RYd/6Lz77rssX76cp556ivXr139MTDsItxoxjULXdQ5sPc6qV7aw6a3dBEzBlMNlY+LsEcx8cByDx+V3GcEUQDgUYdfKEta9vpVty/aaUdPGeMLI24dw2/3jGD2r6KZY8tSU17H13d1sfWc3+9YdtAobYESQjps9nPFzR9KnKK9LXdN/JdRdaOAnj/yeYtO2bP5X7+Tx/17UJcYXDmw5ytPfeJET+84AkD+8F5/76QMMGtevw4/9T0NMo2r9tl/IbUmpIAisfX0Hf/7umwhoqIpmCJ8kEHTBqlQ6XLIhIjL/UJ1uO+FABEkWLdN4XdOQZRFdB0VRkSRAF9A0zdiH26i6YlZhHS4b4WAEVdXMKE6j0mpEcArY7DacHjveeC/eJA/p3ZLJys+kT1FP+o3qjfMj1O66rnPixAkCgUBMxTiRSITi4mIyMzNvOCGp7ZxmfX094XCY3r17k5OTEzNxTUf4iWqaxsGDB3G73ddEzNtaUUWN7ttaUUXtq/Lz82NKSuvq6jh+/DhDhw69alL6n//5nwD89re/7ZQ74W9961u88MILyLJMMBikqamJefPm8Y9//ONyT/v4G/MacasS07YItATZ/O4eVr60hf1bWit/WXmp3Haf0erP7BG7mexYwNcUYMvbu1j76lb2rT9ojSe4412Mv2c4UxZ2bvRo+7X52b1qP1ve3sX25XvxNfqt36XmJjN61lBG3zmUoqkDu5Sd178CVFXjtf97m+d/uBhN1eg3sjfff+3fSc25+QlNqqqx+h+beO5HS6i70ADA5AWj+fSP7+/QsZVbjphGIhE0TfvQ9j179jBgwABrrlDXdVRVNVvnRnVy2/sl/ObLL4BgJCOpYcNrFE0zkpFUDbtDQlN0q83vdNtQIioCApraqqQ32vqGR5RkE9AjRjteEATsDtkUUAGCgIaGoOvEJ8UTl+wmMSOetNwUug/IJrVnCo4UiaamJhISEkhPT78q0/cocXI4HPTt2zdmd7zRNnvPnj1j6qVZX1/PkSNH6NmzJ83NzdTW1l6Xf+jFKC0tpa6uLqZ+opqmsX//fhISEsjLy7vu/VxsRaXrOsFgkL59+8Z8rvZaSen3v/99mpub+eMf/3hTBu8/rph2HHLS8vTPzfsed9w/huGTbq7fZSxw/lQVK1/ZwuqXt1BT0WBtHzwun5kPjmPiPcM7fQbuSqitaGD961tZ+8oWThSXWtsTUuOYNG8UU+8bS8GY2H1uXwsiYYWSjYf54K2dbHl7F3VtrqndaWPotEGMvmsYY+8aRkr2zZ17/FfC4e3H+d+HfkdlaQ3JmYl899WvMnBs/s1eFmDcKL7+5HIWP7mcUCCMw23n/m/MZsGX7+iQbsA/DTEtKSmhV69eeL1edN1IJQLafeke2HKcHz/8R6OSqhg+oZJDRFfN6ik6njgXkbBi5LXrRoRXJKRgNN11M/3I+HKXJQlEM4pUMHLtnV4nSZkJJKTGk5mXhpwkkJWfyrip4y5LAHRdp6GhgaqqKurq6vB6vZbi/eIqYCQSoaSkhLS0tJiq2X0+n+X7Gcs2e3T282L/WZ/PR1VVleUfmpaWRnp6+lWJlqKiLJ/PF9NqsaqqlJSUkJKSEtNrGwwG2bNnD2lpafh8PoLBoDWXmpCQcN1fUPX19Rw7duyq52p1Xed//ud/qKio4Nlnn+0wS6gr4WNi2nFIdGbqY7MeBCAtO5GZC0cxc+Fo0nNubZKhqhrFm46w6pWtbFm2h1DAaJu7PA4mzh3BzPvHMXDMR4/c3CycPVbBhsXbWPf6tnYK+oweqUy9byxT7xtLXsGNdaauF5qmcWLfGbYv28v25XstA/so+o3oxZi7hzPmzqH0GtJ1fGf/WdFY08T/PPhbitcfQrZJPPHbx7nzU9Nu9rIsVJbV8Jdvv8KmN3YAkJmXxmf+937Gzx4R0/fGPw0xPXjwIDk5OcTFxVmt+4sv1JlDZ/nPu35pCJ00DVGSkGQBJayagiPZqHZGiagAsiSiqgYhtdklHB4HrjgnSWkJpPdIIbtPJr2L8ugzLK8dgYzOaHo8Hnr37n1NL5qu6zQ3N1uKd7vdTnp6OmlpaWiaRnFxMXl5edcdWXkpNDY2cujQIQYPHozXG7uh/fPnz1tZ8peb/QyFQlRXV1NVVUUkEiElJYX09PRLiol0XefYsWOoqsqAAQNi9gcRta9KT0+/4RGGtggEAhQXF7cz+r/Yiio+Pp7U1NRL3oh8FOrr6zl69ChDhw69alL685//nBMnTvD888/HbOyhg/HxN+E1oqhoqP5fn/sF77+6jYpSw59QEASGTsjnjkWjGT19EHbHLfHafyR8zQE2Lt3Fqpe3cGhHq41TZo9UbrtvDNMXjSXrJuWTfxR0XedkcSnrXtvK+te3UXO+3vpdjwE5TF4wmikLxtxUYVJtRT073tvHtnf3sGfNfkKB1ijt5MxERswsZOTtRQybPqhLpy7dylAiCn/+5oss/f0KABZ9/R4++eP7u9RNwb71h3jq6y9QetiIeB8+fTBf/NUjMYsevuWIqaIoqKr6oe1HjhwhJSXFMkK/1ItYd6GOL435ATo6kmjEbIaVMJJoKOolWcIV58TpcZCQEkdyVhLZfTLpOaQb/Ub0whN/dZ6YoVCIkpISsrOzycnJudFTttrBFy5cwO/3k5OTQ/fu3WNmh1RdXc3JkydjarEE199mVxSF2tpaqqqqaGlpISkpibS0NJKSkhAEgcOHDyNJEvn5sRNCKIpCcXExWVlZZGdnx2Sf0EpKBwwYQEJCwiUfo+s6TU1NVFdXX7UVVUNDA0eOHKGoqOiq7Kp0XefJJ59k3759vPTSSzETiHUCus6n8S2C6Iyppmns336S917expYV+40oZSA+ycO0e4dzx6Ix9Mi/9dXZZ49fYNUrW1j72rZ2rf5BY/oy/f6xTJwzvEup+sGo/u7ffMSIHn17Vztlf5+iPKYsGH3T7KeiCPpD7F1zgG3L9rBzRTE15a2Ro6IkUjCmL6NmDWX0rCLyBnXrUsTpnwHvP7eeJ7/wDJqqcftjU/jqU5/qUh6/qqKy7Nl1PP+jxbQ0+LE5bCz86iwWff2eG55T/qcgptG2bl1dHTk5OaSmpl6SCEUiEZ4Y+R3ccS48SW6wqeT2yWTwmIH0KupBZl76Df9xtbS0cODAgXbZ7LFA1J+zX79+ln+oqqoWgbneKme0onmxcOxGEM29DwQCDBw48Iba7JqmUV9fb4mnFEUhPj6egoKCmJGrqKdqt27dyMyM3Rf11ZDSj3rexVZU6enpeL1eBEG4LlL61FNP8cEHH/Daa6/F7HXuJHz8bXeNuJT4qbnBx7q39rDi1e2cOnze2j5gWB63LxrNxDuH4L4FzNgvB1XVKN58hNWvbOWDZXsJ+Y1qn8NlY/zdw5i+aCxDJna9mdtIWGHfuoOsX7yNLe/uwd8UsH43aHw/piwYzYQ5I0nKuPrPkFhD13VO7z/LrpXF7Hh/Hwe3HENVWr+H07qlMOqOIobPKKRoSgHexOsPNvkYrdjx3l7++/7fEAqEGXv3cL790pduisPD5dBQ1cRfvv0yq1/6AIC03GQ+97NPMGHO9bf3b3liGhU5aZpGc3OzVXVyu92kp6eTmpr6oZZlR5PHQYMGxbQdXlFRwdmzZxkyZEi7lm0kErEITCAQsAhMfHz8Fd8Quq5z5swZGhoaYioc+ijfzxtFtM3u8XiQJMmqLEZHHK7XtzSavJSXlxdTsZff76ekpISCggLi46/f2PpiKyq3201zczPDhg3D7XZf8fm6rvPMM8+watUqlixZEnPD/E7Ax8T0GnE5Vb6u65w4cI73X9nGurf3EDAT6ZxuO5PuLmLmwtEUDL/17YP8zUE2v7ObVS9vYf/W49b2lMxEpi0czW2LxpLXP3adkVghHAyzc2UJ617fxvblrfZToigwaEJ/Js0bxcQ5I0lMv7lm+b5GP3vWHGDHe3vZ8f4+6itbY0VFUaDfyN4Mn17IsOmDGDC6b5eq9N1qOLTtGN+d83801/sYN3sE333lK13yeh7cdpynvvZ3S+w36o4hfPFXj5DZ49pHam45YhpNpIFLK++j21taWqisrKSmpgan02kRmMbGRk6cOBFz8nj+/HnOnTv3IfJ4I9B1ndLSUurr6xk8ePBlZwJVVbXa383NzSQlJZGenk5iYuIlvV2PHTuGoigMGDAgZsKhjsq9j7bZMzMz241G+P1+i5jrut7O1P9qEPUT7d27d0zjQP1+P8XFxQwcOPCGSOnFqK+v5+DBgyQlJdHc3NzOiuqjqsfPPfccb731Fm+99dZ1J1TdZNzaDOkm4GrtooL+EBuXFbPyte0c3NWaGNStdzoz7xvN9HkjulSG/fWi4kw1q1/dytrXt1Fxpsba3qewO9PvH8vU+aNISOl65+lvDrD13T1sfGMHu1e3jmKIosCQyQVMWTiGcfcMvylG/m0RFVDtfL+Y3av3c3jb8XbVVHe8i6FTBzF8ZiEjZhSS2cVmf28FnCop4+vTf0RLg5/bH53M1/782S5586iqGsufXctfv/86/qYADredh//rXu594nZk29XPtd+yxDRaJf2oedK28Pl8VFZWUl5ejqIo9OrVi6ysrJi0NKNjBM3NzQwePDimlcejR49aAp9rIY/R9ndVVRUNDQ3ExcVZCn9BEDhw4ABut/uaRVmXQ0fl3l9tmz0cDlum/lejeO8oP9Gos8GgQYOIi4vdl11TUxOHDh2y5oAvtqKKuhqkpqZaxPzFF1/klVde4Z133rmq6moXRdf79O3iuB4f03Mnq1i5eAerF++kvqYZAEkWGTN9IDMXjmb4pH5dskpzLdB1nUM7TrL61a1sXLoLn9kyl20SI6cPYtrCMYyeWYjd2fXmr1safGxdtpeNb2xnz5oDllm+bJMYNm0QE+aOZOzdw246SQWDUJdsPMzu1fvZvaqknRMBQG7fLIqmDaRoykCGTB5AQurHUalXg4Nbj/Gfd/wvoUCYB781l8d+eN/NXtJHorainj9+80U2LjHU+z0G5PDvT32KAaP6XNXzbzliqigK4XD4qkkpGEQtWiHs2bOnVWUTRdGqpF5PNUnTNA4dOoQsyzFvW19v6tLF0HWdxsZGi8CEw2FSUlLo169fzGc0Y517H61oXmt0abR6XF1dbfnDRpOYJEm6pEo+FugsUnophEIhampqqK6u5lvf+hYJCQmUlZWxYcOGa5pvvVoEg0EmTZpEKBRCURQWLFjAD3/4w5gfh4+J6TXjRgz2lYjKznWHWfHadnauO2SZxCenx3PbvBHMXDiK3F6xG3m5WQgHI2x7v5hVr2xh99pWM3xPvIuJs4czfdHYLmk9BUbW+pZ3drPuta2UbDxsrV2SJYqmFDBp3ijG3T2M+C5SBb5wpppdq0rYs6qEPWsPtJuhBeg5qBtFUwdSNHUghRMH4Em4ZW+iOxw7VxTz3bn/B7rOL9d+j4GdkMJ0I9i5opg/fP0FKk5VIQgC935xJo98dz6uK8yz33LE9Ne//jU2m4277777qmYCFUWxzNJ79uzZ7oMmGAxSVVVFVVUVuq6Tnp5+1T6aHeUlGg6HKS4ujpmiP4ooycvIyEDTNGpqapBl+YZnNDsq9z5KHm+0ohn1h40mMdntdnw+HwUFBTGdL25paWH//v0xt9tqbm7m4MGDFBYWXnXV89VXX+XPf/4z+fn57N27l4cffphvfOMbMVsTtIYHeL1eIpEIEyZM4De/+Q1jxoyJ6XH4mJheM2KV/FRb2ciaN3ax8vUdlJ+utrYPGtmLmYtGM3FW4T9FSlBdZSPr39jB2te3c6KkzNqe2SOV2xaO4bb7xpDdRcl4fWUjW97dzcY3dlCy6YgZ/GKQ1KFTBxok9Z7hxCV1DTGSqqgc2XmSfesOUrzhEIe2HrPmaMEYU8gf0ZuiKQUMnTaIgrH5OFxdS+xzs/HX77zCKz9/m4y8NP646yd44rs2kQ8Fwvzjf99k8ZPL0TSdjO6pPPHrRxl1x5CPfM4tR0yPHz/O4sWLeeedd3A6ncyePZvZs2eTkZHxobvbQCBASUkJPXr0uKLaOhwOWyRVURTL7P1S84rR/cY6HSkqmOnTp0/MZx5LSko+RPICgQBVVVXWjGb0nK+WAPl8vg7JvY/u91rV7FdCc3OzNW7Q1NSEJEmWq8GN2GR1JVK6bNkyfv3rX7Ns2TKSkpKsm5BYvk8vht/vZ8KECTz99NOMHj061rv/mJheI2IdSarrOod2n2HFa9vZtGwfQVPt7vI6mHRnETPvG8WAYbe+YAqg9Oh51r6+nTWvtfcZ7T+8J9MWjmbS3JFddu62saaZD97ZxaY3drJvwyGLpMo2iaIpAxk/Zzjj7hp+04VTbREOhjm8/QTF6w+xb/1BDm8/0W4+1WaX6Tu8F4PH92Pg+H4MHJf/L++fGgkrfGXC9zix7wxz/m0mX3zysZu9pKvC8b2nefKLf7XEUbfdP47P/99Dlxw/ueWIqbVTU1W+ZMkSli5diiiK3HPPPcydO5fs7Gx27txJOBxm8ODB10xuomr3yspKQqGQRdi8Xq/VVi0oKIgpaYoa3MdaMNPU1MTBgwevuN8oMa+uriYcDltCoqhF0UftN9Zt6+bmZg4cONAhJO/i/QaDQWusQ1GUD9kyXct+CwsLr1p0dTWIkt1r2e/KlSv5yU9+wvLly2NaDf4oqKrK8OHDOXHiBF/84hf52c9+1hGHufXZTicj1sS0LfwtQTYt28eK13ZweM8Za3tur3RmLBzJ9HkjSe5CxOd6oWkaJZuPsfq1rWx+Zw9Bn+FeIEoiI6YNZNrC0YydVdRlq3kN1U1seWc3GxZvp2RTa7s/qu6fOHck42cPJyWra6WBBVqC7N98hL1rD7Bv3UFOlZTRll8IgkDewFwGTejPoPH9GDyhf5fIlO9snCwu5Qsjv4U7zsUrZ5+6ZToXqqKy9KmVPP+jJYQCYZIzEvjSbx5j3D3D2z3uliWm7Q6g65SXl7NkyRLefPNNamtr8fv9PPPMM4waNeqG7uQVRbFENY2NjWiaxoABA0hLS4tZhaCjDO5ra2s5fvz4NVXcoP05+/1+kpOTSU9Pt4RE0cSha93vlRD154z1fqMk+nIkL2rLVFVVhc/nIzk5mbS0tEu6GkTRlUjpunXr+MEPfsCyZcs6tDp6KTQ0NHDvvffyu9/9jkGDBsV69x8T02tERxLTtjh7spJVi3ey5o1d1FU1ASZxm9yfmfeNYtTUAmz2WzthCgz3gq3vFbNu8XZ2rT1oVSLdXicT5gzntoVjGDyub8zcTWKNxppmti3bw+a3drFnbatwShAECsb0YeK9oxg/Z8RNNfP/KLQ0+Di09Rj7Nx/lwAdHOLbrlOVOEEVWr3QGje/P4In9KRjdl9x+WV32tYglvjT+uxzdeZJvPvdv3PbghJu9nGtC+YkL/PILz3BwyzEApiwYwxd+8RCJacZN7T8FMbUOpOv8+Mc/Zv369cyaNYv33nuPpqYm7rrrLubOnUufPtc/zF5WVkZVVRXZ2dnU1dXR3NxsEbZo2tT1oLy8nIqKCgoLC2NqfH7hwgXKysooKiq6of1GozOrqqpoamrC4XAQCAQYNmxYh5DoqzWNv1pEye61kH5N06y40KirQVTxHnVd6ChSGhVQXUvFeNOmTfzXf/0Xy5Yti2lAwLXghz/8IR6Ph69//eux3vXHxPQa0VnENApVUdm98SgrXtvO9jUHURWDuMUne5g6ZxgzFoyid0Hs5uVvJhqqm9iwdBdrX9/G0TYV49SsRCbfO5KpC0bTe3DXTUHyNfrZ/t4+Ni3dyc6VJURCrfOdfYfmMW72CMbfM5weA7rm6xUOhjm66xQHNh9h/wdHObTlGP7m9mIqd7yLfiN60W9Eb/qN7E3/UX26XGU4FnjrqRX84avPM2n+aL7z8ldu9nKuGZqm8fYfV/PX779GyB8mKT2B//fHTzPy9iH/XMQ0HA7z1FNP8cQTT1ienzU1NSxdupQlS5ZQXV3NrFmzmDNnzlVnrEdtmxRFoaCgwLoTi5KXyspKmpqaSExMJD09naSkpKu6W4vaTLW0tDBo0KCY2UyBEQVaW1tLYWFhTPPQy8vLKSsrIyEhgcbGRrxer2VDdSPHqaqq4syZMzdMoi9GNPDgRshu27jQmpoaHA4HcXFxVFVVUVRUFNPK7vWQ0q1bt/L1r3+dd999N6ZiuSuhuroam81GYmIigUCAmTNn8s1vfpO777471ofqmt/wXRidTUzboqGmmbVLd7Py9R2UHrtgbe9VkMPMhaOYOmcY8V1EiHOjOHv8Amte38a6xdupLKu1tnfPz2LawtFMmT+KzO6x0wrEGv7mADveLzZJarGVlAXQrV8W42ePYMKcEfQp6rrzw6qicmp/Gfs3HeHA5iMc2XWSmnN1H3pcam4y/U2i2m9kb/oO69nlRUNXwhu/fY8/fv0F7v7sbXz595+62cu5blScruKXn/8L+zcfBeCez03nS79+9J+HmF4J9fX1vP322yxZsoSzZ88yc+ZM7r33XgYNGnRJMqmqKvv37ycuLu6ytk2aptHQ0EBlZSUNDQ3Ex8dbhO1S+9U0zcp7j6XNlK7rnDhxgmAweMNRoBfj4tx7Xddpbm6mqqqqXYhBamrqNZHLiooKzp07R1FRUUzz22trazlx4gRFRUUxTTuqrKzk6NGjOBwORFG0xFM3WjW9HlK6c+dOvvKVr/D222/H1BnialBSUsKjjz5q+Qnfd999fO973+uIQ3XNb8QujJtJTKPQdZ3j+8+xevEO1r29h5ZG0zPULjF2+iCmLxjJ8Im3vjcqGOd6eNcp1i/ZwYY3d9JY22L9buCYPkybP5oJs4d1SRP/KEKBMHvWHuCDt3ezbfkemut81u8yeqQyfvYIxt0znIIxfbtcpOvFqD1fz5GdJzi68yRHd53k6K5TH7KoEgSBbv2yyR/Ri95DetBrcHd6FXa/pTxVf/mZP7Hi+Q088ZvHmP2FmTd7OTcEVdVY8pv3eP5Hi5l631i+8ZfP/esQ07Zoamri3XffZcmSJZw4cYLp06czZ84chg0bhiiK1NXVceLECXJzc8nOvvrouqhvaGVlJXV1dXi9XjIyMkhJSUGSJBRFoaSkhOTkZHr06BEzUhr1VLXZbOTn58eU7F5N7r3P57PEU1G1e3p6+mUrlefOnaOqqirmld3q6mpOnz4d8wpsY2Mjhw8ftsYCwuEw1dXVVFVVEQqFrikSti2irgkDBw68aiHZvn37+MIXvsDSpUvp2bPn9Z7SrYCPiek1oisQ07YIhyJsW3WQVYt3sHvjUUvMkpQWx7S5w5mxYBQ98m/OCEqsoUQU9qw/zNrXt7P1vb2EAkarXJJFhk8dyNT5oxhzx5Ar+jjeTCgRhf2bj7L5rZ1seXs3dW3iRhNS4xg9q4hx9wxn2LRBXVb81RaapnHuWAVHd57kyM6THNt1kpPFpdasbVskZSSQN6gbeQO7kTcwl7yB3egxIAd3XOzG1mKBt55awdNf+zuapvObzT+6auP6ro6TJWVk5qXhTXD/axLTtmhpaeG9995jyZIlHDx4kOHDh7Nx40Zef/11BgwYcN37jbaBq6qqqK2txeFw4PP56NmzZ0zbrqqqUlJSQlJSEnl5eTHbr67rHD58GFEUr6myG1W7V1VVoarqJa23zpw5Q0NDQ0zTssCoaEZna2NZgb3SrOrFkbCJiYmWqf/lKtfXQ0oPHDjAZz7zGV5//XXy8/Ov+5xuEXxMTK8RXY2YtkV1RQNr3tjF6iU723mj5hd2Y8aCUUyePZS4fxKDdX9zkA+W7WH9GzvZu+GwJZpyuO2Mm1XE1AWjGTZlwDVFNXY2NE3j0LbjbH13D1ve3cP5k5XW7xxuOyNmFDL+nuGMuqOoy3ilXg3CoQgni0s5sfc0p0rKOFVSypmD5wi0BC/5+LRuKfQYkEO3/jl065dN937Z5OZnkZRx6WTBjsKFM9U8/4PXWfPSZgAe+s48Hvnegk47fmfhn2rGNBZYvnw5TzzxBMOHD+fw4cNMnDiROXPmMG7cuBuq6jU3N1NSUkJCQgI+nw+73U5GRgZpaWk3RKCihvw5OTnXVNm9EmKVe3+pqNBwOIyqqh85QnG9qKiooLy8nKKiophWYKOk9GpnVaOjHVFTf4/Hc8lM+2iIQEFBwVVbhB0+fJjHH3+cV1999YZumm4hfExMrxFdmZhGoes6R/aWsmrxDja8uw9/s0EIbHaZsTMHcdu8Ef80rX4wRFMb397N+iU7OLTjpLU9ITWOibOHM+XekRSM7t2l1eS6rlN25Dxb3t3Nlrd3c2zPaet3kiwxeEI/xtw5lLF3DSMzL3ZhK50FTdOoLK3hzIGznDl4ljOHzlF68Bxnj57/kBNAFC6vk6xeGWT0SCW9WwqpOcmk5iSTnJVEckYCSRkJeJM81/W66rpO7fl6Th84y+kDZRzccoyd7+9DiajY7DL//qfPMv0Tt5Ya/2rxMTFtg3A4zKOPPspvfvMb0tPTCYVCrFmzhsWLF7Njxw7GjBnD3LlzmThx4jWRyfr6eo4cOdJufrBt6/t6E5iixCbWhvzRcYNY595H9xsIBBBFkaSkJMvV4EY/kM+dO0dlZSVFRUUxrcBGrbGuV0Cl6zotLS1W1VyWZdLS0oiLi+PIkSPXREqPHTvGI488wosvvsjgwYOveS23KP7liakgCHcAvwEk4Bld1396ucffCsS0LULBMFtW7GfV4p3s++D4h1r90+ePJK9f7KKObzYulNawbsl21r6+nbPHWwViUWX/lPmj6FPYvcsKjqKoOldrVFLf3k3J5tbUKYC8glzG3GWQ1PzhPbs04b4SVEXlwukqSg+XU3q4nHPHKjh79Dznjp2npcF/xeeLooA3yUNckhd3vAuX14nL60S2yUiyiCiJaKpGOBghHIrga/BRX9VEQ1Vju1QsMGZjpz0wnoe+fS85ff95/iYuxsfE9CoRiUTYsGEDixcvZvPmzQwfPpy5c+cyZcqUy5LJyspKSktLKSws/EhiE01gqqoy8mSj0aiXI0JRu6JYG/1HK7Cxzr2PCr7sdjt9+vRB13Xq6+upqqpqJxiL5tlfC86ePUtNTY0lzIoVbpSUXgqBQICKigrOnDmD0+kkMzPTGnO43BfR6dOnefDBB3nuuecYOnRoTNZyi6Brfzt3MARBkIBjwAzgHLATeEDX9UMf9ZxbjZi2RVV5PWuX7v5Qq79vYTdmzB/JlNlDiUu8dVrGl4Ou65zcf5YNb+5kw5s7qWqjJs/pncHU+aOYOn8UOb0zbuIqrw5Ntc3sXFnC1uV72b2qxKqAAyRnJjLmrqGMu2sYQ6YUYHfEbsTqZqOptpmK01VUnqmm5nw9NeV1VJ+rpb6ykboLDdRXNuJrvDJ5/SjEJXvpOciYd+0ztCfDbhtMereu5zcba3xMTK8DiqKwefNmFi9ezPr16yksLGTu3Lncdttt7eYPy8rKLMJ0ta3lUChkkVRN0y4ZExq1QRo8eHBMPTQ7Kvde0zT2799PfHz8JYU6UcFYVVUVdXV1uN1uS+1+pet25swZGhsbGTx4cEzvyuvq6ixf1Viq+oPBIPv27WPAgAG43W5rzCEQCLSrILclqWVlZSxatIhnnnmGkSNHxmwttwj+1YnpWOAHuq7fbv78LQBd13/yUc+5lYlpFLquc2RfKasX72TDO3vxmURHtkuMnjaQ6fNGMGLKAGTbP0erX9M0juw6zfo3drBh6S4aa5qt3/Up7M7ke0cyae4IMm4BUhIJK5RsOsLWZXvYtmwP1W0It9PjYOjUgYyeVcSo24tIyUq8eQvtJKiKSnO9j6baZgItQeNfcxAloqIqxj9JlrA7bdgcNjwJLpLSE0jMSMDl6boiuY7Ex8T0BqGqKtu2bWPJkiWsXr2afv36MXv2bFasWMG0adO47777rpswRVXflZWVRCIR0tLSkCSJyspKhgwZElPCFM2n79+/P4mJiTHbb1SYlZKSclVjAW1b3zU1NdhstkuOOei6zunTpy0f2FiS0o6ymoqS0ktd42iQQXV1NY2NjcTHx3P48GEKCwt57LHHePrppxk7dmzM1tIWZ8+e5ZFHHuHChQuIoshnP/tZvvKVLmPY/K9OTBcAd+i6/mnz54eB0bquP3HR4z4LfBage/fuw0tLSzt9rR2FUDDM1lUHWfX6DvZ9cMyK14xP9jB19jCmzx9J74E5Xb71fbVQFZW9G4+w/o0dbHl3L/42gpyCUb0NkjpnBEm3QPSrruucLC5l67I9bH13DydLytr9vu/QPEbPKmLMnUO7tF/qx+hcfExMYwhN09i6dSuf/vSnkWWZ3r17M2fOHGbNmnXVc4QfhUgkwtGjRy2T97S0NDIyMq4p1/2j0FG595FIhOLiYrKzs69bmOX3+y2FP2CR1PLycsLhMAUFBTH9MIuS0qFDh8bUaioUCrF371769etHUtLlU0h0Xae6uprvfve7rFy5kvz8fD71qU9x9913x3SWOIqKigoqKioYNmwYzc3NDB8+nKVLl1JQUBDzY10H/qW/qQRBWAjcfhExHaXr+pc+6jn/DBXTj0LNhQbWLd3D6jd2Una8VSGe1y+L6fNHMnXuMJLTuj5hu1qEgxF2rN7Pxjd3sX1lsWU/JYoCQyb2Z8q8kYy769YZb6g6V8vOFcVsf28fe9cdbDdDmZqdxKhZRYyeVUTRpAKcnlsj//1jxB4fE9MYY9GiRUydOpXPfvazlJSUsHjxYpYvX052djazZ8/mrrvuuiIxuRgXp0Tpuk5tbS2VlZVWln1GRsY1+2dC61hArPPpw+Ew+/bto0ePHmRkxGZGKjrmcObMGTRNIzc3l/T09JiQczBSwk6ePNkhpHTfvn3k5+df9WtfVVXF/Pnz+fnPf05ubi5vvfUWqampfPKTn4zZuj4Kc+bM4YknnmDGjBkdfqyrwL86Mf2XbOVfCbquc+LAOVYv2cn6t/fSVG8YwouiwNAJ+dw2bwRjZw7GeQv4bF4tAi1Btq0oYf0bO9i99qDlwynbJIZOHsCkuSP4/+2deVxU193/3xcBQUDZBEUUEGTfBRVFRUFxR2MSk/zSJI2pps2iNctjkiY1TdMmTZraJE3zPFmapWmaCFEjIooLLogsyr4JIiqyg6zKNnN/fwyMoKCg7J736zUvZu45997vPTPM/cw532X2Ms9hU9Go8WoTKceyOBWRRFxEMpXFV9RtWqO1cPd3wDfYgxnBHkyyGxl5bgU9QwjTPqa2tvam2VFZlsnMzCQ0NJS9e/diZGRESEhIj2bAlEol2dnZ3eYSvTF/ZrufopGR0W3FWrvI62u3gHZfVVtb2z6d4ZNlWT0WU6dO7eSfaWxsjJmZGePG3Vleuf5Kyt/c3ExSUhLTpk3D2Ni4R/tUVFSwdu1a3nrrLZYsWdJntvSEgoIC5s2bR3p6+l3P8vcR97ow1UQV/BQIXEYV/PSILMsZ3e1zLwjTjrQ0txJ/JJNDPyWScCRLLdh09Ufjv9SDoPt8cJ0xdVhHht9I3ZUGToSf4ejOBFJP5KjdG7S0NfEJdGH+Gl9mBXsMm1lHWZbJS77AqYgzxO9P5ezp/E7tk+zM8V3swYwlnrj5O4yoACrBzQhhOsDIskxubi6hoaHs2bMHXV1dQkJCWLlyJebm5p1EVXtJ1PagodsJLqVSSVVVFWVlZdTU1DBu3DjMzc0xMjK66Uu5qKiIoqIiPDw8+jQRfXsKq54sWfeGdnHfHtV/4zi1X3dtbS2GhoZqcd6Tm1G7KPXy8urTsbgTUXrlyhXuu+8+Xn/99f6oO39L6uvrmT9/Pq+99hr33XffgJ77FtzTwhRAkqRlwHZU6aK+lGX57Vv1v9eEaUdqrzRwdE8Sh3YmkpN83Z/R3NKYhWumE7jGh0k2wy/H5q2oLq8lJjyJo7sSSDt5Pd3WaF0tZi72YN4aH3wDh0eVpnaqy2pJPJhGwv4UEg+lUX/leolUXX0dvBe64LPInelBbphP6Xv3JsHgIoTpINIewBMWFsbu3bvR0NBg1apVhISEoKWlxQ8//MCaNWuwtLS8o2O3p2O6cuUKBgYGmJubY2xsTGFhYae6931FfX09aWlpuLi49OlsW3uyf319/dsK9Pbk9h2vuz25fVfX2j5r3F+i1M7ODhOTnkXS1tTUsHbtWl566SXWrFnTZ7b0hJaWFlasWEFwcDBbtmwZ0HPfhntemPaWe1mYdqTwXBkHf0rk8K5Eyouq1dsdPKcQuMaH+Su9GDuMqhX1hMqSao7/fJpjuxI7JfLX0RvNzMXuzA2ZPuxEqqJVQVZ8HvGRKcRHpnA+41Kn9skOE5ke6IbPInfc5zoOq2sTdI0QpkMEWZa5fPkyYWFhfP/99xQUFLBq1So2b96MlZXVXflQdkzHVFxcjIaGBnZ2dpiZmfWZMG0PoOpYRKAvaE81NW7cuF6XW72xJKyOjo46eEpLS4uysjIuXLjQ5+VL2/1rbW1teyxK6+rquP/++3n22WdZt25dn9nSE2RZ5vHHH8fY2Jjt27cP6Ll7gBCmvUQI084olUpST53j0E+JxESmcq2hCVD5ZvoucCLwPh98A5zRHj10S4PeCaWXKjm++zTHdidyNqlAvV1XbzSzlngwL8SH6YEuw25ZvOxSBQkHUjl9MI2k6Eyu1l5Tt2nraOE+1wmfRW74LnZnkt0EEek/DBnSwnTHjh1s27aNrKws4uPj8fG5buef//xnvvjiC0aNGsWHH35IcHDwTftXVVWxbt06CgoKsLa25scff+zT5eX+IDs7m4cffpg333yTwsJCwsLCqK+vZ/ny5YSEhNy0jN1T2uveS5KEhYUF5eXlVFRUoKuri5mZ2U3lMntDeyL67urI3ym9TTV1OzpW21IoFCgUCjw9PftUSLe0tJCUlMTUqVN77F/b0NDAgw8+yPr163n00Uf7zJaecuLECebOndspF+yf/vQnli1bNuC2dIG4q/SSaXbO8pefhTHL3x6tEZLns69ovNpEbFQ6h3ee5szx676ZBoZjmLfCk4Wrp+PkPfLSFpVcqFDNpO5OJDf5eiqxMQY6+C31xH+lN9MXuKCtM7xEamtLK1nx5zh9MI2EA6nkJRd0ap9oY4bXQhe8F7riOd8ZgxE2Qz5SGdLCNCsrCw0NDTZu3Mj777+vFqaZmZk8/PDDxMfHU1RURFBQEGfPnr1p9u/ll1/G2NiYrVu38s4773DlyhXefffdOzVnQEhJSUFTUxMXFxf1tvLycnbt2kVYWBiVlZUsXbqUkJAQHB0de/QFequ69+05Q8vLy9HW1lbPKPY0AKg9vZKHh0efVUcClShNTk7G3Nz8jlwZbkVJSQkXLlzA3NycyspKlEolpqam6gpMd0q7KLWxselxgYJr166xbt06HnnkkQGJuB+GjCyFMAAYjZss+zpvYOw4XQKD3Qhe6clUu6FfPWigqSqr5cjuMxwMS6Agp1i9fcIUExaEeI9If1SA4oJyju1O5NiuRM6lXV8WH6Ovw8xg1XK/z0LXYSdSAa6U1nD6UDoJB1I4fSiNuqrrvqkaGhLTvG2YHuiKd6AbTjNs0dQaWbPkI4UhLUzbCQgI6CRM//xnVaaUV155BYDg4GC2bdt2UwJyBwcHoqOjmThxIsXFxQQEBJCTk3O35gwqVVVV/Pzzz4SFhXH58mUWL17MmjVrcHFx6TLQp70+/fjx45k8efItj3316lV11alRo0apS6N2F7HfXm61ryPZW1tbSU5OZtKkSX1aFhVUorSwsBBPT091Van2QgZlZWU0NTWpRaqBgUGPZ05aWlpITk7G2tq6x6K0sbGRRx55hDVr1rBhw4ZhOUtz7dq1Pp0l74LhNyiDjN1UJzlw9mbOnytTb7N3mkjwCk8CglwwGNuv79ew5HxWEYd3n+bI7jNUltSotzt4TiHoPl/mrfAccf6oAJfPlXJ8zxmO7+5CpC7xYF7I9GE5kwqgUCjJTTrPmUPpnDmcTlZcnjpjA6iCqDzmOzE90I3pga5Y2JoPy+/gkciwFKbPPvsss2bNUi97rl+/nqVLl3L//fd32s/Q0JDq6mr1ayMjI65cucJIoaamhvDwcH766SfOnTtHUFAQISEheHl5oaGhwZUrV8jLy7ujuveNjY1qkSrLslqktouQ/orqbxd4U6ZM6bP8p+0UFxdz+fLlTqL0RlpbW9Xpt+rr69VpqG4sE3rjPklJSVhZWWFmZtYjW5qbm3n00UdZvHgxzz333LD8QgwICMDLy4vf/e53PfalvQOG38AMMj4+PnJCQgK5OSXs35PMkah06ttKemppj2LOfEcWL/fAy8eGUaNGTgqlvkChUJJ6Ko8ju05zYl9nf1Sf+Y4sCJnOzCBnRuuMvACbovwyToSf4diuRPI6VGjS1RvNjMXu+K/0xjfQddikoLqRa/WNpJ7IVgvVi9lFndrNJpvgMd8Zz/nOeAY4YWrRs0wqgr5n0IVpUFAQJSUlN21/++23CQkJAW4Wps888wx+fn6dhOmyZctYu3Ztp2OMdGHakfr6eiIiIggLCyMrK4uZM2cSHR3NF1980ck3905oT2xfVlaGQqFAW1ublpYWvL29+zSqvz1oqDdL4T2lqKiI4uJiPD09e2zzjem3xo4di5mZGSYmJurZ6XZR2hsh3dLSwhNPPMGcOXN44YUXhqUo3b59O//5z3+YMGECPj4+PPPMM/0lToff4AwyNwY/NTW2EHM0m/3hKSQlnldvNzUby+Jl7ixe7oGFpbgJ30jjtWZORaVz6KfETv6o7flRF66ejvss2xGVH7WdovNl6uj+jjOpo3W18A1yw3+lNzMWuTPGYPjWci8rrCTpUDqnD6eTdCSD2sr6Tu2W0ybgGeCMZ4ALHvOcGGvcd7EIglsz6MK0J/TFUv6qVas4cOAAjo6OVFdXY2hoSHJy8k3nsra2xsDAgFGjRqGpqclwjG5NTU1l9erVuLm5ce7cOebOncvq1avx8/Prdqawp+Tl5VFRUaEWp6amppibm6Onp3dXAqu9OlJfJ+UHuHz5MiUlJb0SpTciy7I6DVVVVRV6enqYmJhQVFTUK1Ha2trK+vXr8fLy4pVXXhmWolSWZWJjY3FycuLatWv86le/wsvLi02bNmFsbNynP1YQwrTX3Coqv7S4mqh9qRzYm0JJhxRK7l5WLF7uwdyFTuiKdDs3UVVey7HwZA7vOk1u6nWhZjrRkIBVXixcPR0bxzsruzzUKS4oJyY8iRPhZ8hOvJ74Xmu0Jr6BrvivnM7MYLdhU3GqK5RKJefTC0mOziA5OpO0mByu1Teq2yVJws7TCs8AFzznO+HiZ4+u/vAV5UOdYSlMMzIyeOSRR9TBT4GBgeTm5t50Q3zppZcwMTFRBz9VVVXxl7/8hRdeeIFx48bxxhtv3HQua2trEhMT+6Um+UAgyzIPPvggr7/+Ou7u7jQ1NXHw4EFCQ0NJSEjAz8+P1atX4+/v36sleFmWycvLo7m5GScnJzQ0NGhtbVX7Zl67dg0TExPMzc175ZsJKreB9pKdPU1E31MuX75MaWkpHh4efSaY2tNvpaWlIUkSenp6PQoaUygUPP3000ybNo3f//73w1aUSpKELMs0NTWho6NDUVERv/71r3F0dOTtt9+mqamJ7Oxspk+f3henHH6DNMj0JF2UUimTlnyB/eEpHD+SRVNbzXLdMdrMW+DE4hWeuHpMHpaf0f6m8FyZyh9112lKLlWpt1s7TGRBiDcBq7wxmzS0s7/cKeWXq4gJT+L4ntNkxp1TJ/NvL4s6e7kXfks8MBw/JKrG3TGtLa3knD5PytFMko5kkBWXR0tzq7pdY5QG07yscZ/rhLu/Iy6z7dETvtt9xpAWpjt37uS5556jvLwcQ0NDPD092b9/P6Ba6v/yyy/R1NRk+/btLF26FICnnnqKp59+Gh8fHyorK3nwwQe5ePEiU6ZMYceOHRgZGTFlyhQOHz7MtGnTbjrncBemcF083EhLSwvR0dGEhoYSExODj48Pq1evJiAg4JaCqr0UqCRJXZZFBZXoai8R2u6baW5uftsSoe2VohwdHTE0NLyj6+2OwsJCysrK+lSUwvWMARYWFkycOFEdNFZeXo4kSYwfP76TP277Ps8//zwTJkzgT3/607C84SsUim7H8fLly7z00kuMHz+eI0eO8Mgjj7B169a+OO3wG6hBprd5TBsamjh6MIMDe1PITCtUb7eYZMTiFR4sWubBeLPhLTT6A1mWyTxdwOGdiRyPSKGu+qq6zXXGVBaETGfucg8Mxg3fmcRbUVlczYnwM5z4+TQZcXlqVwcNDQlXv2n4r/Rm9nIvTCcOf5HeeLWJjJNnSYrOJPV4FrlJBSgVSnW7hoaEnZcNHnMdcZvriKufPXoj9H0fCIa0MO0Pjh07xpYtW7pdorexsVHXmd+4cSMbNmwYYAsHhtbWVk6cOMGOHTs4evQoHh4erF69msDAwE5pn5RKJZmZmejo6GBra9vj9FTtAUS1tbUYGRmpA4g6+mM1NDSQmpqKs7Mz48aN69Pru3TpEhUVFX1e3epGUXoj7f645eXltLa2cvnyZSwtLfn3v//N2LFjee+99/rNJ+3JJ58kPDwcMzMz0tPT+/TY7aJUlmX++Mc/4uzsjK2tLZ6enuo+JSUlWFhYsGXLFt5///2+OrUQpr3kbhLsX7pQQVREKgf3pVJRXgeAJMH0GbYsWu7O7LkOjB6GEdr9TUtzK6eP5XBk12lOHUynuUk1u6apPYoZC5xZEOLNjIXOwy6ZfU+pLq8lNjKFmPAzJB/L7hT97uQ7lTnLvZm93BMLm54Fhw51rtZdIyM2l7QT2aSeyObs6fMoWq9fs4aGhJ2nNW7+jrjOtsd51rRhP4s8kIwoYdqTQKpf//rX2NnZ8cILL3R5jKKiIiwsLCgrK2PRokV89NFHzJs3r1/tHmwUCgWxsbGEhYVx8OBBnJycCAkJYe7cubz11ls8//zz2Nra3tGxlUqlujRqdXU1Y8eOxdzcHG1tbTIyMnB1dcXAwKBPr6ddlHp4ePSpCFQoFKSkpDBhwgQsLG7vT9bS0sJPP/3ERx99RGFhIU888QRr167F19e3X8TpsWPH0NfX57HHHutzYdpOYGAgM2fO5OLFizQ2NrJu3ToeeOABQOX7nZ+fz2effdaXpxTCtJf0ReUnhULJmfh8DuxN4eSxHFrahIae/mgCglxYvNwDR5dJw3Lmv79pqGvk5IE0juw8TUpsrnomcYyBDnOC3VgQMh13P7sRmxGhvuYqcftTiQk/Q+LhDJrb3EQAbFwsmb3MkznLvbBxsRwxn5/GhiYyTuWSejyL1OPZ5CTmdxKqoAqmcvGzb3tME1WpbsGIEqa3o7W1lUmTJnH69OkeJW3ftm0b+vr6vPjii+rXn332mTpivLvqOJGRkWzatAmFQsFTTz3VV0uaA4JSqSQxMZH//Oc/fPfdd3h7e/Pwww+zdOnSuxaQ7QFE7UvsxsbGTJo0CRMTkz6b1bx48SJVVVW4u7v3iyg1Nzdn0qRJPdpHqVTy+9//nrq6Oj744AMOHTpEREQEH3/8cZ+m2OpIQUEBK1as6DNh2nH5/oMPPqCxsZFXX32VWbNmYW9vj6amJitXrmTNmjWUlpb2eYovhDDtNX1dkrS25ipHDmQQtS+Fs1nXE9FPtjJh8XIPgpa4YzK+b39cjhQqS2s4uieJ6J/PkNvBTcJovAHzV3qxIGQ609xGjkC7kWv1jSQcTCdmbxIJUWlc7RBQNNFmPHOWezFnhTcO3tYjKrtBY0MTGbFnST+ZQ0ZsLtkJ52i61typzzhTA1xntwnV2fbYeViJhP9t3FPCNDIykj//+c8cPXq0y/aGhgaUSiUGBgY0NDSwaNEi3njjDZYsWQLcLFS7QqFQYG9vT1RUFJaWlvj6+vL999/j7OzcL9fUH9TW1rJq1SrWr1+Pm5sbO3bsYN++fVhYWBASEsLy5cvv2B+0pqaGzMxM3N3daW1tpaysjIqKCnUAkamp6R1nDrhw4QLV1dWdSmv2Be2lUc3MzHosStuXvEtKSvj888/7OlK9W/pSmF66dEldlCEjIwNzc3N0dHTYvHkzzs7ObNmyhXnz5qGnp8fvf/97Zs2addfn7IKRecfuR/pamHakIL+MA3tTORSZypW2qjoaGhLeM6ayeLkHs+c6jLia831F4bkyovec4cjuMxQVVKi3T7IZz4IQb+av9MJy6shY6u6K5qYWUo5nc3JvMrGRyVS3uYoAmEwwxG+pB7OWeuLh74CW9sj6DLW2tJKXcoHM2FwyTuWScfIsV8pqOvUZrauN/XQbnGbY4ehri6OvLSYjwD/3TrinhOkTTzzBrFmzePrpp9XbioqKeOqpp4iIiCA/P581a9YAqtnVRx55hNdee03dtyfCNDY2lm3btqmDtG5MbTUcaG1tVUfwtyPLMhkZGYSGhrJ3716MjY1ZvXo1K1as6HH+yurqarKzs/Hw8OgUGCTLMvX19ZSWllJRUYGOjo46yr2nM4sFBQXU1NT0uShVKpWkpKQwfvz4HpdGlWWZv/zlL5w7d46vv/56wEQp9J0wbWpq4pNPPqG+vp64uDjMzc354osvuHr1Ko899hibN2/G39+fxx57jMDAQB5//PE+uoKbEMK0l/SnMG1H0aok4VQeB/amcOrEWVpbVYEg+gY6BAS5sGi5B47OFiN2JvBukGWZsykXObzrNEfDk6npkD9zmpslAau8mbfCE9MJhoNnZD+jUCjJij9HTPgZToSfofzy9fziYwx0mLHIndnLPPEJdB3WuVK7Q5ZlivLLyDjZNqt6KpfCs8U39TOdZKwSqT5TcfS1ZZqXzbAtcNAb7ilherds27aNr776irFjx+Lj48Nf//pXjIw6/6IJDQ0lMjKSzz//HIBvv/2WuLg4Pv7448EwuV+QZZmzZ88SGhpKeHg4Y8aMISQkhJUrV2JmZtblzaiqqoqzZ8/i6enZKbiqKxoaGtQBRJqamuqqU91lDjh//jx1dXW4urr2uShNTU3FxMTktuVc25Flme3bt5OSksJ//vOfu84b21v6csa0rKyMGTNmoKenx6lTp9SuHB9//DF/+MMfcHNzY8KECXz33Xd3fa5bIJRNLxkIYdqRmuqrHIlK58DeFPJyrvv4ty/1Bwa7YSqi+rtE0aog+WQeR/ecIWZ/GlfbKnRJkoT7LFsCVnkzZ6n7iI3sh7ZUhCkXid2XzMmIJAqyrldk0tLWxHOe44hJQ3UrqstryU44p37knM7nau21Tn00Rmlg42KJg68tjj62OPhMZbKDxYjzVxbC9AZuFUA1a9YsTE1NkSSJ119/neLiYr788stO/Xbs2MH+/fs7CdP4+Hg++uijAbF/oJFlmfz8fMLCwti9ezeampqsWrWKkJAQJk6ciCRJXLhwQZ3gfvTo3v3au3btGqWlpZSXl6OhoaFOxdQubvPz86mvrx8yovSTTz7h5MmT/PDDD7dMwdVf3K0w7Rh9L0kSP/74Iz/99BM2NjZs3LgRa2trQFXEIT8/n9WrV/ed8V0jhGkvGWhh2pHzeaVERaRyaH9ap6V+L18bFi11Z/Z8R3REVH+XNDe1kHAkiyO7zxB/OFOdN7O9HOr8Vd7MCnRGZ8zInjErOl9G7L4UTkYkdcqVKkkSTr5TmbXEA7+lHkye1rsy28MNpVJJ4dlisuLPkZ14jpyEc5zPKOyUpgpg9BhtbN2tsPO0ws7dCjtPa6Y4TRrW7hBCmN4h3QmAkbCUf6fIskxhYSFhYWHs3LmT1tZWnJycSEpKIioq6rYzpbejsbFRPZOqVCrR0NBAQ0Ojz6PvlUolaWlp6py3PUGWZT7//HOioqIICwvrtQDvCx5++GGio6OpqKjA3NycN998k/Xr1/d4//YxBfjjH/+Ira0turq6rFq1ioceeggrKys2b97Myy+/zPPPP8/MmTP761I6IoRpLxlMYdpOd0v9Y/RGM2+hE4uXe+DiLhL4d0dD7TVi9qdxZPdpUmOv5wgdravNrCAXAlZ5M33eyPPFvJErZbWcilSJ1ORj2Z2S3E+yNcdvqQd+Sz1x9Jk64mYNu6KxoYnc5AL1jGpOwjnKLlXe1E9LWxMrZ0vsPKyY6j5F9ddtyrCpViWEaS8oLi5W567829/+RlxcHP/973879WltbcXe3p5Dhw4xadIkfH19+c9//oOLiwsvvfQSe/bsQVtbG1tbW/71r391GUQ0EsqiyrLM//3f//Hee+9hbW1NfX09y5cvJyQkpMf5UG917NzcXKqrq9HU1KS1tVU9k6qnp3dXdreLUkNDQ6ysrHpsz9dff83PP//Mrl277lqADzYbNmygsbGRZcuW8cILL3D48GHMzMzYvHkzjY2NVFdXq394DQBCufSSoSBMO1Jbc5Xog5lERaSQk3l9mdbC0phFy9wJWuKG+UTDwTNwiFNVXsvxvSkc3ZNE1pkC9Xb9cbr4L/UgYJUXrjNsR7wwu1rXyJnoDGL3pRAflUbdlQZ1m5HZWGYFezBriQee8xwZfQ+V1a2pqCMv5QJ5yQXkpRRwLuUCl/NKb+onSRIWtmZMdVeJVBsXS6ydLTG3Mh1yGRGEMO0Fv/jFL0hOTkaSJKytrfnf//1fJk6c2CmACiAiIoLNmzejUCh48skn1QFUBw4cYOHChWhqavI///M/ALz77rs3nWckVJ8qLi7ml7/8JTt27MDAwIDy8nJ27txJWFgYVVVVLFu2jJCQkG4rSXWHLMucO3eOpqYmnJ2dkSSJlpYWdWnUxsZGTE1NMTc3R19fv1fHViqVpKenM3bsWPWSdU/47rvv+OGHH/j5558ZM2Z4+4Ll5+fz/vvv88knn/DII48wadIk3nvvPVpbW9HQ0KC4uLjHmQn6CCFMe8lQE6YduVhQ3pbAP43KiutR2R7TrQla4sbcBU6MuQeCO+6U0sIqju5J4sjuMxTkXA+WMRpvwLzlnsxf6YWjl9WIn4lWtCrIiMsjNiKZk/uSKb14fdZwtK4WnvOcmBXswYzFbpiM4CCy7miovUZ+2kXOpVzgXOoFzqVc4ELW5U6FD9oZravNZPuJTHawYIqjheqvgwUWtuaDNiMvhOkgsXPnTkJDQ7sMHBkJwhS6L41aVVXF7t27CQsLo6ioiODgYNasWYOzs/Mtf7nJskxeXh7Nzc1qUXojra2t6tKoV69excTEBDMzM8aOHXvLL2ulUklGRgb6+vrY2Nj0+Bp//PFHvvrqK/bu3XvXs7WDwY1lRvPy8vjNb36Djo4ODg4OvPfee4DKx/r+++/HwcFhoE0c2XfYfmAoC9N22hP4R+1L5eTRHJrblmhH62jhH+DIoqXueEy3HvGzgHdDQU4x0T8ncTQ8iZIOwsxskhHzV3oRsNILG6eRnxlBlmXOZ14mNiKZU/tTyE2+0Knd3sta7Zdq7XTvFoVoaW7lYnYR+akXyE+7SEHmZQoyC6kqqe6yv4aGxAQbMyynTcDSbgKTpk3E0m4CFnbmmFoY9essqxCmg8TKlStZt24djz766E1t90pZVFDlNd2zZw8//fQT+fn5LFq0iJCQEDw9PTt98NtFaUtLC05OTj36clEoFOrSqHV1dRgbG6tLo3bcX5Zl0tPTey1Kd+3axaeffsqePXv6vKTqQJOWloaLiwsaGhr87ne/49tvvyU9PR0DAwNefPFF0tLSiIyMHIwv9XvzLnIXDAdh2pGG+kaOHc4ial8q6ckX1dtNzcYStMSNoKVuTLEeP4gWDm1kWeZs6iWO7Uni6N5kKkuu58ecbGvG/FVezF/uhaXtyM2R2pHK4mriDqQStz+VpGNZnSpPTbAyZdYS1Uyqm5/9iPfR7Qn11Q1czCniYrbqcelsEZdyiim9UK72bb4RrdFaTJxqxkTr8ZhNMcXM0gSzySaYWBgxfpIxxhMN76r8rhCmfUxPyqK+/fbbJCYm8tNPP3V5o78Xy6IC1NXVERERQVhYGNnZ2SxcuJCQkBCmT5/O9u3bCQ4OxtXV9Y7EkVKppKqqitLSUmprazE0NFSL1KysLMaMGcPUqVN7fLy9e/eyfft2wsPDb0oZNhw4fvw4xcXFPPjgg7z++uvs2rULa2trNm7ciL29PT/88ANfffUV/v7+lJSUqH2jBwEhTHvJcBOmHSm+fIWofakc3JdKSVG1eruDkwVBS90JWOTCOMPh7S7TnyiVSjISzhO9J4kTESnUdvDDnOpkwfyVXsxb4cmEyT3LPT3cabzaRFJ0FrH7U4jbn0pNB/cRXb3ReC9wZuZid3yD3DASKc060dzYTFF+GYW5xVzOLeHyuVIKc4spzi+jqrTmtvvrG+lhbD4OI7NxjBtvgOH4sYwzMcDASA99Qz30jfQYo6+DbttDa7Qm2qO10TXQQWfMaCFMB5Kvv/6aTz/9lEOHDvXIH3Hbtm0UFhZy/PjxbkucyrLMpk2biIiIYMyYMXz11Vd4e3v31yUMCNeuXWP//v3s2LGD48ePY21tzauvvsqcOXPuOmG9Uqmkurqa0tJSSkpK0NHRwc7ODhMTkx4tTxw4cIB33nmHvXv39ri4wFBCoVDw448/8sUXX+Dn50dBQQFffvkl//jHP8jLy2P27Nk8/PDDZGRkMHr0aKysrAZLlIIQpr1mOAvTdpRKmfTkixyMTOXYoUyuXlWVc9TU1GDG7GksWubOjNnT0NIauOIVw43WFgVJMWc5Fp5M7IE0GuqulwN18JzC/JVezF3mMaIT+XdEoVCSnZhPfFQacQdSKci83KndwduamW0BVDbO9+6Sf0+4WneN4vwyigvKKLtUSdnFSiqKqqgoukLF5SqqSmpQtN7sz9oTHtyynKf++JAQpgNFZGQkW7Zs4ejRo4wf3/XS1I1lUYOCgigoKCAmJqbbEqcRERF89NFHREREEBcXx6ZNm4iLixuoy+o3ZFlWB5EtWbKE0NBQEhISmD17NmvWrGHOnDl3XHNelmUyMzPR1tbG1NSUsrIyqqqq0NfXV5dG7UoAHzlyhDfffJO9e/d2+x4OZdpn8ydMmMAzzzxDXFwcXl5efPbZZwB8/vnnJCQk4OPjw4MPPjgUXBTE3aGXjARh2pGmxhZOHs/h4L40TsedUy8vjh2nS0CQC0FL3XEQVaZuSXNTK2eO53A0PIlTUek0tgl9SZJw8bVh3nJP/Jd6YDTeYJAtHTjKCiuJP6ASqcnHs2lpup6KyszSmBmL3PANcsPD3+GeqLbUlyiVSmor67lSWkNVaQ01FbXUVNRRW1lHXfVV6qrqaai5ytX6RhrrG7nW0ERzYwstTS2sfW4JD720SgjTgcLOzo6mpib1LNusWbP49NNPb1kW1d/fn4KCglvmRd24cSMBAQE8/PDDADg4OBAdHa1ObTVcaW5u5ptvvmH9+vXqm05LSwtHjhwhNDSUmJgYZsyYwerVq5k/f36PZ/VkWSYrKwstLS3s7OzUx5Zlmbq6OkpLS6msrERXV1ctUrW0tDh+/DivvfYa4eHhTJgwod+uOzIykk2bNnU7Q343JCYmsnXrVhwcHMjLy+OBBx7gH//4B8899xxPPvkkAJ988gklJSW8/vrrdyz8+xChNnrJSBOmHamqrOfw/jQO7E2hIL9cvd1yiglBS90IDBapp25H47VmEg5nEr0niYQjWercoBoaEm6z7Ji33IM5S9wZZ6w/yJYOHI0NTSQdzeLU/lTio1K5UlarbtMarYn7HIc2oeqKhc294as7mAgf0yFOT0qcrlixgq1bt+Lv7w9AYGAg7777Lj4+d/W+DnlaW1s5fvw4O3bs4NixY3h6erJ69WoWLlzYbS5RWZbJzs5GU1Ozkyjtql9DQwOlpaW89dZbnD9/noqKCvbs2YOrq2u/XZNCocDe3p6oqKhuZ8jvll/+8peEhYXx5Zdfcv/99xMWFsbXX3/NsmXLePrppwFoamoalCIBXSCEaS8ZycK0HVmWOXe2hIORaRw5kK6uMgXg4W1F0FJ3/Bc4oSdmum5JQ10jcYcyOBaezOlj2ep0QhqjNPCaM415K7yYHeyG/ljdQbZ04FAqleSlXCThYDoJB9PIOVNAR40zedoEZix2Z+ZiN5xn2KKpJQKo+pq+EKbiXelHuhL9N4qpnvQZiWhqarJgwQIWLFiAQqHg5MmThIWF8eabb+Ls7ExISAiLFy9W+/K2i9JRo0bdUpSCavz09fXR19fnmWee4eWXX2bdunVs2LCBcePGER4efte+rl0RHx+PnZ2dOhDroYceYvfu3X0qTH/zm9/g7e3N22+/jb6+PmvXrmXChAk8//zzjB8/nrVr1w4VUSoQdIkkSdg5TMTOYSK/eiaI0wn5HNqXSszRHFLOXCDlzAU+fn8ffvMcCFrixvQZtozSFKmnbkTPQIeFq6ezcPV06muvERuVzrHwJJJOnOX0sRxOH8vho9d24OVvz9zlnvgtch3xIlVDQwN7L2vsvaz5fy+toLq8lsTDGcQfSOP0kQwu5ZZwKbeEsH8cYIyBDl7znfBZ6IpPkCvjLYZfIOxIRQjTfsTS0pJLly6pXxcWFmJhYdHrPiOdUaNGMXfuXObOnYtSqSQhIYHQ0FDeffddbG1tWbVqFZGRkSxZsoQHHnigx8I9OTmZ559/nl27dqlTSZWVlfWLKAW4fPkykydPVr+2tLTsc39hX19ffH19MTEx4aWXXkJfX5+LFy9iaGionnUXCIYLozQ1mOFnxww/O3XqqYP7UklLvkh0VAbRURkYGumxYJELQcvcsbOfcE/8cO8t+mN1WbTWl0Vrfam90kBMZCpHw5NJO5VHwpEsEo5koak1Cu+5Dsxb7smsRa7oGQzvKnc9wXD8WILW+RG0zo/WllYy4s4RH5VGQlQaF88WExOeREx4EgDWzpPwDXTFN8hVzKYOMmIpvx+5VYnTdvbu3cvHH3+sDn56/vnniY+PV7dfunSJxx57jJKSEjQ0NNiwYQObNm3qdJ7o6GhCQkLU4uu+++7jjTfeGJiL7EeUSiXJyck8/fTT1NbWYmdnx+rVq1m2bFmX5WA7kp6ezq9+9StCQ0OZNm3agNi7Y8cO9u/f38l1Iz4+no8++qhfzrdz505ef/11xo0bx7fffturlFkDhFAQveReWMrvCSXF1Rzen8bBfWkUdkhAb2VjStBSdxYGuzFepAi6LVfK6zh5II3je5NJ6xB8pqWtic98R+Yu92BmoAtjhkkd9r6k5GIFpw9nkHAwneTj2TQ2NKnbxhjo4B3gjG+QK9MXumA6Ucym9hThYzoM6KrE6aeffgrA008/jSzLPPvss0RGRjJmzBj+9a9/dfIvLS4upri4GG9vb+rq6pg+fTq7du3qtDwcHR3N+++/T3h4+IBfX3/zhz/8gbKyMj788EMyMjIIDQ1l7969mJqasnr1apYvX35T2qesrCyefPJJ/vvf/+Lk5DRgtsbGxrJt27ZbBrv1NSUlJWhpaQ3V1FdCmPYSIUw7I8syZ7OKORiZSnRUBjXVVwGQJHD3VpVCFf6oPaOqvJaTkWkcDU8iI+G82o2sXaT6L1OJ1HthJvVGmptayIjLIyEqncRD6Vw8W9yp3drJgukLXJge6ILrzGlo6wx6YOmQRQjTe5CQkBCeffZZFi1apN42koXp5cuXsbCwuKnaU05ODqGhoYSHh2NgYMCqVatYuXIl1dXVPPbYY3z33Xe4ubkNqK09mSG/xxDCtJcIYdo9ra0KEmLPcXBfKqdiztLSrAr20dbWxG+ePYuWugt/1B5SWVrDiYgUjkekkHm64CaRei/PpIJqNjXhoEqkppzI6TSbOlpXC/c5DvgEuuKz0AWLqWbCvaQDQpgOANeuXUNXd2g4jBcUFDBv3jzS09MZO/b6MlZ0dDRr167F0tISCwsL3n///XtGDMmyTH5+PqGhoezcuZPc3FwOHTqEp6fnoNjT1Qz5PYz4tu4lQpj2jPq6Ro4fyeJQZBqpSdfrqxsa6RGwyIWgJW5Mc5woBEMPqCyt4cS+VE5EpJCReMNMaoAjc5d5MGPhvTmTCqo69ZlxeZw+kkni4XTy0ws7tU+0NmX6Ahe8ApzxnOuA3th7u7qZEKYDwDfffIONjQ1+fn7k5uZib2/fb8Ezt6K+vp758+fz2muvcd9993Vqq62tRUNDA319fSIiIti0aRO5ubkDbuNgI8sypaWl/ZqnVNArhCroJUKY9p7S4moO70/nYGQqly5c90e1nGJC4BI3Fi52ZeIk4SPYEypLa4iJTOVYeHKnmVRN7VFMn+uI/1J3Zt0D0f23orKkmjPRmSQeyuBMdCZ1HUrHaozSwHG6Dd4BzngvcMbBy5pRmvdWhTMhTPuZH3/8kVdffZWIiAjs7e1ZsmQJmzdvZsmSJSgUigETqC0tLaxYsYLg4GC2bNly2/7W1tYkJiZiamo6ANYJBN0ihGkvEcL0zpFlmdzsYg5FphF9MKNTflRnN0uClrgzL9CZsePuXVHVG9QzqftSOvmkamqNuqdSUN0KhULJ2aQCzhzJ5HR0BtmJ51EqlOp2vbG6eM5zxDvAmekLXJhgNfLvyUKY9jMvvvgin3/+OS4uLjg4OFBVVUVoaCiamgOXRkKWZR5//HGMjY3Zvn17l31KSkowNzdHkiTi4+O5//77uXDhQqdlLGtrawwMDBg1ahSamprcePOTZZlNmzYRERHBmDFj+Oqrr/D29u7PSxOMfIQw7SVCmPYNilYlSYnnORipyo/a1NgCgJbWKHz97FgY7MqsOfZojxYpgXpCVXktJ/encSIipVN0v6bWKDxnT2POEnf8FrveUxWnuqKh7hqpJ3I4E53JmegsLp8r7dRuYWOG13wnPOc54uHvwNgROF5CmPYzv/vd7xg1ahS//e1vefTRR2loaMDIyIgJEyawdetWpkyZ0qm/QqFAkiQ0NPrO+f7EiRPMnTsXNzc39XH/9Kc/cfHiRUAV2f/xxx/zz3/+E01NTXR1dfnggw+YPXt2p+PcbhY1IiKCjz76SJ22atOmTX2eg1NwzyGEaS8RwrTvuXa1mZij2RyMTCM58bxaVOnpj8Y/wInAJW64e1mhoSE+rj2huqKOmP1pHI9IIe1Unno828ui+i91Z3awG8bjRTqvkgsVnD6SQdLRLJKOZtFQe03dJkkSdu5TVEJ1vuOIifYXwrQfaWhoICgoiL///e/4+voyf/58li1bxtatW1m5ciVBQUHqfKKVlZU3petRKBQUFhYyZcqUIeGAfzthunHjRgICAnj44YcBcHBwIDo6mokTJw6kmYKRxeB/8IcZQpj2L5UVdURHZXD4QDq52ddTApmajWXhYhcWBrsx1c58EC0cXlRX1HHqYAYxkakkxZxF0apaxpYkCRdfG/yXejBniRumEwwH19AhgKJVwdnkCyQfU4nUrIR8Wppb1e3aOlq4zLTDe74TnvOdsHWb3KeTXAOFEKb9SGxsLL/+9a9JTk7m0KFD/P3vf+ff//43Y8eO5Te/+Q12dnZs2bKFb775hrS0NA4cOICPjw+///3vmTJlCqdOnSI6OprNmzczevToQRenNjY2GBkZIUkSGzduZMOGDZ3aV6xYwdatW9XVgwIDA3n33Xc75VQVCHqJEKa9RAjTgeNiQQWH9qdxeH86pcXV6u3WU8ezMFgVNGU2YdzgGTjMqKu5StzBDE7sS+X08Wxa29J5ATh5WzM72I05S9yZOGVI5lwecBqvNpERl6eeTT2XdqlTu77hGNxn2+Mx1xGPuY5YOQyPLBN9IUyFg003pKWlqctL5uTkMGXKFMaOHauuwDRlyhRycnJ48cUX+fnnn3nvvff4y1/+QkpKCg0NDbzwwgtYWloiy3KnD5NSqfpFOdC/hGJiYrCwsKCsrIxFixbh6OjIvHnz1O1d/UAZDv8EAoFAcCdMsTbllxsX8MSGADJTCzkYmcqxQ5kU5Jfz5T8P8+U/D+PmOYWFwW7MXeAkgqZug8G4MQSt9SVorS8NdY3EH87geEQKp49mk3WmgKwzBXzx5z1MdZ6E/xJ35ix1Z8o9PDutM2a0Kmn/AlVqx+qKOpKPZXHmaBbJx7Ipu1TJyYhkTkYkA2A43gAPf0c85zriMdeBidbjR+w9WsyYdkNKSgpvvPEGxcXFNDQ08MYbb7Bu3ToiIiLYt28fTzzxBKdPn2b79u2Ym5ujoaHBuHHj0NTU5JtvvsHHxwcTExOKioqIjY2lpqaGyZMno62trT5Hu2gd6Fyp27ZtQ19fnxdffFG97XZL+Tk5Oaxbt07dPz8/nz/84Q9s3rxZvW2klkYV3DEj81uzHxEzpoNLS4uCxFPnOHwgjdhjZ2luW2rV1NRgxuxpLAx2ZebsaYweAb6AA0Xj1SYSorM5uT+VuMOZXKu/nqx+sp05/kvdmbPEnalOFiNWaN0JJRcqSDmRTfLxHFJP5FBZUt2p3WyyCR7+Dnj4O+A+xx4zy6ExEy2W8geAqqoqTp06xfz589HT0+Pll19GQ0ODd955h/vvv5+QkBB+8YtfkJiYSGRkJB4eHlhZWfHmm28SGhpKc3Mzo0aN4u9//zvff/89lpaWbN26lVmzZgGQmZnJX//6V1JTU1mzZg2//e1v+1ykNjQ0oFQqMTAwoKGhgUWLFvHGG2+wZMkSdZ+9e/fy8ccfq4Ofnn/+eeLj47s8nkKhYNKkScTFxWFlZaXePhIrUO3YsYNt27aRlZVFfHy8cG3oHeIu00scnd3kn/ZG4WRtLm7Sg0xDQxMx0dkcPpDeKWhqjN5o/AMcWbDYFc/p1owaNfz8AAeL5qYWkk6cJSYyldiodOprrgcDmVsaMyfYjdlL3HHythqW/pX9hSzLFOaVknw8m5QT2aSeyKG2Qzo0gAlWprjNtsd9jj1us+2ZMGVwUlMJYToIxMbGcu3aNRYuXMiXX37J2bNneeONNxgz5nq1hxdffBE9PT1eeukl9PX1aW5upra2FlNTU7766iuysrJ49913uXDhAs888wyrV6/G09OT119/nb/97W84Ojr2qc35+fmsWbMGUJXNfOSRR3jttdf49NNPAVVkvyzLPPvss0RGRjJmzBj+9a9/dSvCDhw4wJtvvklMTEyn7SNRmGZlZaGhocHGjRt5//33hTDtHUJZ9RJDcyvZfukmbC1NWDHHhWA/J0wN9QbbrHueyoo6jkRlcOSGoCkjYz0CglRBU/ZOw8MHcKjQ2qIg9VQeJ/alcCoqgysVdeo2o/EG+C12Y06wG+6z7NDUureS1N8OpVJJfnohKSdySI3JIT02t1PEP6hmVN3n2OM+RzWjOlBCVQjTQaayspLnn3+etLQ0bG1t2bBhA0uXLmXx4sX88Y9/ZMaMGQC88sorpKamcuXKFXR1dbGysuLLL7/kzTffJC8vj2+//RaAd955B1mWeeWVVwbzsm7Lk08+ibe3N88++2yn7SO5NGpAQIAQpr1H3KV7yeSpDrLT8s1U16luMqM0JGa727DC3wV/z6lo3WNVZIYily5UcCQqg8P70ykqrFJvt5xizILFrixY5IqlCPDpFQqFkqwzBcTuTyNmfxqlHcZVf5wus4Jcmb3YDa+59ujoat/iSPcmCoWS/PRLpJ08S2rMWdJjc6mvudqpj9lkE9xn2+Myyw7XWdOwtOufVRkhTIcIjY2NHD9+HBsbG6ysrPjtb3+LgYEBb7/9NhkZGfj6+tLY2EhBQQGvvPIKFhYW/PWvf8XV1ZUPPviAxYsXA/Doo4/i7u7Oyy+/fFPQ1FChubkZCwsLMjIyMDfv7Lg+kkujCmF6Rwy9D/AQx8fHR449FUdMynnCT2QQk3oeRVslmbF6OgTPcmS5v7NY6h8CyLJMTmYRRw6k31RpaprjRJVIDXLBZLzBIFo5/JBlmXOZlzkZmcaJyFQu5V1PUj9aV5vp8xyYvdiNGYHOGIy7t+vSd4dCoaQg8zIpJ7JJO3mWtJM3C9Vxpga4zLTDtU2o2rpN7pPyqUKYDlHi4+N59dVXefTRR3FwcOCVV14hOjqajIwMXnnlFR544AGWLl2Kp6cnhYWF6v3Mzc05efIktra2g2j9rdm9ezf/+Mc/OHDgwG37DpfSqEFBQZSUlNy0/e233yYkJAQQwvQOEcqpl9wY/FRZ00BkbDZ7T2SQV1ih3i6W+ocW7ZWmjkSlExOdzdWrzQBIEnh4W7Mw2A3/AEf0DXQG2dLhx8W8UmIPpHFyfxpnU6+nVBqlqYH7LDtV1alFrhibiYT+3aFQKDmfUUj6qVzST+WScSqPK2W1nfro6o3GyXcqrn72uM6yw8HbhtF3MDsthOkwoKamhldffZW4uDjMzMyoqanhiy++oKKigg8//JAff/wRgEOHDvHss8+SlZU1ZGdLAR566CGCg4P55S9/eVNbd6VR169fT3h4OGZmZqSnpwOqoLJ169ZRUFCAtbU1P/74I0ZGRjcdMzIykk2bNqFQKHjqqafYunVrv19jVwhhekcMzQ/xACFJ0gPANsAJmCHL8m3D7buLypdlmbMXy9l7IoPIU9mdlvr93GxY7u/MXM+paGuJDICDTVNjC3EnczlyIJ34k3m0tKjyearLoS52ZeYcEdl/J5QXV6tE6oF0VWlUxfWE/o5eVvgtcsVvsSuWU80G2dKhjSzLFOWXkRGXpxKrsXkUnS/r1EdLWxM7jyk4z7DDeYYtTj5TMTa/fV5fIUyHGWfPniUlJYXAwEB0dHT41a9+xZYtWxg7dixvvfUWnp6ebNmyBaVSOSQjEq9evcrkyZPJz89n3DjVB7RjAFV3pVGPHTuGvr4+jz32mFqYvvzyyxgbG7N161beeecdrly5wrvvvtvpfAqFAnt7e6KiorC0tMTX15fvv/8eZ2fngb1whDC9Q+51YeoEKIH/BV68G2HakZZWRTdL/aNZPNORFf4uONmIpf6hQH1dIyeiszm8P42UMwW03251x2gze54DCxa74u1rg6bwHe41tVcaiDuUQUxkGmeO53SqojTZzpzZi13xW+TKNPfhWUFpoKksqSbjVJ56VvV8xuWb8ptPsDLFydcW5xm2OPvaYu086aasFEKYDnP+/Oc/8+9//xs9PT02bdrEqlWrMDAYmf5IBQUFrFixQi1MO+ZJLS4uJiAggJycnE77xMbGsm3bNvbv3w+oxgsY0OCwnTt38txzz1FeXo6hoSGenp5qewS3RSgjQJKkaPpQmHakqvYq+2Oz2RuTwdmL5ertNhbGLPd3YdU8Vwz1RWL4oUBFWS1HD2USHZVBTlaRevs4wzHMW+hM8AoP7J0sBtHC4cu1hibOHM/h5P404g9nUt8hQt1kwjj8glyZt8ITt5lD101uqFFfc5XsxHwy48+RlZhPdmI+1xqaOvXR1RuNo89UnH1tcfGzw3u+sxCmI4X8/HymTp062Gb0KzcKU0NDQ6qrq9XtRkZGXLlypdM+oaGhREZG8vnnnwPw7bffEhcXx8cffzxgdgvuCiFM6V9h2pHcS+XsPZFJZGwWVbWqQIed761n0nhRVnOocflSFdEHMzi8P41LFyoBePgJf365ccEgWzb8aW1RkBZ/jtgD6cRGpVPRVm524erpvPS3/ze4xg1jFK0KCrKKyEw4R2ZcHlmJ+ZRcuO73bu9lzYdRrw6IMBUMEJIkSfIIfjMkSbIGwmVZdm17XS3LsmGH9iuyLBvdsM8DQLAsy0+1vf4FKl+95wbMcIHgFkiSdBCY0EXTa7Is727rE80thKkkSRuADW0vXYH0fjD1bjEFKm7ba+ARdvUOYVfvEHb1HgdZlu9q6Vd4yg8RRrIo7YZSSZImyrJcLEnSRKCsiz6FwOQOry2Boi76CQSDgizLQX1wjP8D/g9AkqTEu51t6A+EXb1D2NU7hF29Y6jaBSrb7vYYwiNYMFj8DDze9vxxYHcXfRKAaZIk2UiSpA081LafQCAQCASCEYgQpoJ+R5Kk74FYwEGSpEJJktYD7wCLJEnKBRa1vUaSJAtJkiIAZFluBZ4F9gNZwI+yLGcMxjUIBL1FkqQ1kiQVAn7AXkmSRNScQCAQ3AaxlC/od2RZfribpsAu+hYByzq8jgAi+sk0gaDfkGV5J7Czl7v9X3/Y0gcIu3qHsKt3CLt6x1C1C/rANhH8JBAIBAKBQCAYEoilfIFAIBAIBALBkEAIU4FAIBhAJEl6QJKkDEmSlJIk+dzQ9ookSXmSJOVIkhTczf7GkiRFSZKU2/b35lq+d2/jD5IkJbc9CiRJSu6mX4EkSWlt/e46GrcHdm2TJOlyB9uWddNvSdsY5kmS1O91jCVJek+SpGxJklIlSdopSZJhN/0GZLxud/2Sig/b2lMlSfLuL1s6nHOyJElHJEnKavv8b+qiT4AkSTUd3t83+tuutvPe8n0ZpPFy6DAOyZIk1UqStPmGPgMyXpIkfSlJUpkkSekdtvXoe+iO/hdlWRYP8RAP8RCPAXoAToADEA34dNjuDKQAowEb4Bwwqov9/wJsbXu+FXi3n+39K/BGN20FgOkAjt02VDlhb9VnVNvYTQW028bUuZ/tWgxotj1/t7v3ZCDGqyfXj8qPfx+qIhizgLgBeO8mAt5tzw2As13YFYAq3/WAfJ56+r4Mxnh18Z6WAFaDMV7APMAbSO+w7bbfQ3f6vyhmTAUCgWAAkWU5S5blnC6aQoD/yrLcJMvyeSAPmNFNv6/bnn8NrO4XQ1HNFAEPAt/31zn6gRlAnizL+bIsNwP/RTVm/YYsywdkVRYRgFOoci4PFj25/hDgG1nFKcCwLZ90vyHLcrEsy2fantehyrQyqT/P2YcM+HjdQCBwTpblCwN4TjWyLB8Dqm7Y3JPvoTv6XxTCVCAQCIYGk4BLHV4X0vWN21yW5WJQ3ewBs360aS5QKstybjftMnBAkqTTkqqC1UDwbNty6pfdLB/2dBz7iydRza51xUCMV0+uf1DHSFJVAvQC4rpo9pMkKUWSpH2SJLkMkEm3e18G+zP1EN3/OByM8YKefQ/d0biJdFECgUDQx0g9KFXa1W5dbOu3tCk9tPFhbj1bOkeW5SJJksyAKEmSsttmV/rFLuCfwFuoxuUtVG4GT954iC72vetx7Ml4SZL0GtAKfNfNYfp8vLoytYttN17/gH7WOp1YkvSBMGCzLMu1NzSfQbVcXd/mP7wLmDYAZt3ufRnM8dIGVgGvdNE8WOPVU+5o3IQwFQgEgj5GvrNSpT0twduTcr53baMkSZrAfcD0WxyjqO1vmSRJO1Et3d2V0Orp2EmS9BkQ3kVTv5Qy7sF4PQ6sAALlNge7Lo7R5+PVBT25/kEp9yxJkhYqUfqdLMs/3djeUajKshwhSdInkiSZyrLcr3Xhe/C+DGZ57KXAGVmWS29sGKzxaqPfyoqLpXyBQCAYGvwMPCRJ0mhJkmxQzXzEd9PvduV8+4IgIFuW5cKuGiVJ0pMkyaD9OaoAoPSu+vYVN/j1renmfANeyliSpCXA/wCrZFm+2k2fgRqvnlz/z8BjbdHms4Ca9mXZ/qLNX/kLIEuW5Q+66TOhrR+SJM1ApVEq+9munrwvAz5eHeh21WIwxqsD/VdWvL+jucRDPMRDPMTj+gOVoCoEmoBSYH+HttdQRbHmAEs7bP+ctgh+wAQ4BOS2/TXuJzu/Ap6+YZsFENH2fCqqKNsUIAPVknZ/j923QBqQ2naDm3ijXW2vl6GK+j43QHblofKlS257fDqY49XV9QNPt7+fqJZY/9HWnkaH7BD9aJM/qmXc1A7jtOwGu55tG5sUVEFkswfAri7fl8Eer7bzjkElNMd12Dbg44VKGBcDLW3fXeu7+x7qi/9FUflJIBAIBAKBQDAkEEv5AoFAIBAIBIIhgRCmAoFAIBAIBIIhgRCmAoFAIBAIBIIhgRCmAoFAIBAIBIIhgRCmAoFAIBAIBIIhgRCmAoFAIBAMAyRJMpQk6TdtzwMkSeqqwMCt9n9CkiSLHvQzliQpSpKk3La/XZV+FQj6BSFMBQKBQCAYHhgCv7mL/Z9AlWfydmwFDsmyPA1Vjsqtd3FOgaBXiDymAoFAIBAMAyRJ+i8QgqoAQwvQAFQArsBp4FFZlmVJkqYDHwD6be1PAHNQFU24DFwD/ICXgJWALnAS2Ni2fw4QIF8vNxkty7LDQF2n4N5GCFOBQCAQCIYBkiRZA+GyLLtKkhSAqgykC6r64zGohGYccBQIkWW5XJKkdUCwLMtPSpIUDbwoy3Ji2/GMZVmuanv+LfCjLMt7JEmqlmXZsMN5r8iyLJbzBQOC5mAbIBAIBAKB4I6Il2W5EECSpGTAGqhGNYMa1VZGfRSqcpJdsUCSpJdRlb40RlXeck+/WiwQ3AYhTAUCgUAgGJ40dXiuQHVPl4AMWZb9brWjJEk6wCeo6r5fkiRpG6DT1lwqSdLEDkv5ZX1vukDQNSL4SSAQCASC4UEdYHCbPjnAeEmS/AAkSdKSJMmli/3bRWiFJEn6wP0djvEz8Hjb88dRuQwIBAOCmDEVCAQCgWAYIMtypSRJMZIkpaMKYCrtok+zJEn3Ax9KkjQO1X1+O6pl+q+ATyVJag9++gxIAwqAhA6HeQf4UZKk9cBF4IH+uiaB4EZE8JNAIBAIBAKBYEgglvIFAoFAIBAIBEMCIUwFAoFAIBAIBEMCIUwFAoFAIBAIBEMCIUwFAoFAIBAIBEMCIUwFAoFAIBAIBEMCIUwFAoFAIBAIBEMCIUwFAoFAIBAIBEMCIUwFAoFAIBAIBEOC/w9Ix2TnqVZlhwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# grid over which we will calculate J\n", "theta0_vals = np.linspace(-10, 10, 100)\n", @@ -730,9 +896,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " X[:,0] X[:, 1] y\n", + "--------------------------\n", + " 2104 3 399900\n", + " 1600 3 329900\n", + " 2400 3 369000\n", + " 1416 2 232000\n", + " 3000 4 539900\n", + " 1985 4 299900\n", + " 1534 3 314900\n", + " 1427 3 198999\n", + " 1380 3 212000\n", + " 1494 3 242500\n" + ] + } + ], "source": [ "# Load data\n", "data = np.loadtxt(os.path.join('Data', 'ex1data2.txt'), delimiter=',')\n", @@ -773,7 +958,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ @@ -815,8 +1000,10 @@ " sigma = np.zeros(X.shape[1])\n", "\n", " # =========================== YOUR CODE HERE =====================\n", - "\n", - " \n", + " mu = np.mean(X,axis = 0) #rows added together, axis = 1 would be columns added together\n", + " sigma = np.std(X,axis = 0)\n", + " for i in range(X.shape[1]):\n", + " X_norm[:,i] = (X[:,i] - mu[i])/sigma[i]\n", " # ================================================================\n", " return X_norm, mu, sigma" ] @@ -830,9 +1017,18 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Computed mean: [2000.68085106 3.17021277]\n", + "Computed standard deviation: [7.86202619e+02 7.52842809e-01]\n" + ] + } + ], "source": [ "# call featureNormalize on the loaded data\n", "X_norm, mu, sigma = featureNormalize(X)\n", @@ -850,9 +1046,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 40 / 40 | Nice work!\n", + " Gradient Descent (for one variable) | 50 / 50 | Nice work!\n", + " Feature Normalization | 0 / 0 | Nice work!\n", + " Computing Cost (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Normal Equations | 0 / 0 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[4] = featureNormalize\n", "grader.grade()" @@ -867,7 +1085,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": {}, "outputs": [], "source": [ @@ -912,7 +1130,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 65, "metadata": {}, "outputs": [], "source": [ @@ -948,7 +1166,9 @@ " J = 0\n", " \n", " # ======================= YOUR CODE HERE ===========================\n", - "\n", + " xtheta = np.dot(X,theta)\n", + " err = xtheta - y\n", + " J = np.dot(err.T,err)/(2*m)\n", " \n", " # ==================================================================\n", " return J\n" @@ -963,9 +1183,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 40 / 40 | Nice work!\n", + " Gradient Descent (for one variable) | 50 / 50 | Nice work!\n", + " Feature Normalization | 0 / 0 | Nice work!\n", + " Computing Cost (for multiple variables) | 0 / 0 | Nice work!\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Your answer is incorrect.\n", + " Normal Equations | 0 / 0 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[5] = computeCostMulti\n", "grader.grade()" @@ -980,7 +1222,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 66, "metadata": {}, "outputs": [], "source": [ @@ -1031,7 +1273,14 @@ " \n", " for i in range(num_iters):\n", " # ======================= YOUR CODE HERE ==========================\n", - "\n", + " #if J_history[i-1] and (J_history[i-1]-J_history[i])\n", + " #cost func = 1/2m * (XTheta - y)**2\n", + " #cost func grad = 1/m * Xtranspose * (Xtheta-y)\n", + " xtheta = np.dot(X,theta) #pred_y which is m x 1\n", + " err = xtheta - y # m x 1\n", + " grad = np.dot(X.T,err)/m # n+1 x 1\n", + " \n", + " theta = theta - alpha*grad\n", " \n", " # =================================================================\n", " \n", @@ -1050,9 +1299,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 40 / 40 | Nice work!\n", + " Gradient Descent (for one variable) | 50 / 50 | Nice work!\n", + " Feature Normalization | 0 / 0 | Nice work!\n", + " Computing Cost (for multiple variables) | 0 / 0 | Nice work!\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Nice work!\n", + " Normal Equations | 0 / 0 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[6] = gradientDescentMulti\n", "grader.grade()" @@ -1094,9 +1365,30 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "theta computed from gradient descent: [340412.65957447 109447.79646964 -6578.35485416]\n", + "Predicted price of a 1650 sq-ft, 3 br house (using gradient descent): $293081\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "\"\"\"\n", "Instructions\n", @@ -1119,7 +1411,7 @@ "At prediction, make sure you do the same feature normalization.\n", "\"\"\"\n", "# Choose some alpha value - change this\n", - "alpha = 0.1\n", + "alpha = 1\n", "num_iters = 400\n", "\n", "# init theta and run gradient descent\n", @@ -1138,8 +1430,9 @@ "# ======================= YOUR CODE HERE ===========================\n", "# Recall that the first column of X is all-ones. \n", "# Thus, it does not need to be normalized.\n", - "\n", - "price = 0 # You should change this\n", + "ft = (1650 - mu[0])/sigma[0]\n", + "br = (3 - mu[1])/sigma[1]\n", + "price = np.dot(np.array([1, ft, br]),theta) # You should change this\n", "\n", "# ===================================================================\n", "\n", @@ -1171,7 +1464,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, "outputs": [], "source": [ @@ -1194,7 +1487,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 56, "metadata": {}, "outputs": [], "source": [ @@ -1227,7 +1520,8 @@ " theta = np.zeros(X.shape[1])\n", " \n", " # ===================== YOUR CODE HERE ============================\n", - "\n", + " xTx = np.dot(X.T,X)\n", + " theta = np.linalg.multi_dot([np.linalg.pinv(xTx),X.T,y])\n", " \n", " # =================================================================\n", " return theta" @@ -1242,9 +1536,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise linear-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Warm up exercise | 10 / 10 | Nice work!\n", + " Computing Cost (for one variable) | 40 / 40 | Nice work!\n", + " Gradient Descent (for one variable) | 50 / 50 | Nice work!\n", + " Feature Normalization | 0 / 0 | Nice work!\n", + " Computing Cost (for multiple variables) | 0 / 0 | Nice work!\n", + " Gradient Descent (for multiple variables) | 0 / 0 | Nice work!\n", + " Normal Equations | 0 / 0 | Nice work!\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[7] = normalEqn\n", "grader.grade()" @@ -1262,9 +1578,18 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Theta computed from the normal equations: [89597.90954435 139.21067402 -8738.01911278]\n", + "Predicted price of a 1650 sq-ft, 3 br house (using normal equations): $293081\n" + ] + } + ], "source": [ "# Calculate the parameters from the normal equation\n", "theta = normalEqn(X, y);\n", @@ -1275,17 +1600,27 @@ "# Estimate the price of a 1650 sq-ft, 3 br house\n", "# ====================== YOUR CODE HERE ======================\n", "\n", - "price = 0 # You should change this\n", + "price = np.dot(np.array([1,1650,3]),theta) # You should change this\n", "\n", "# ============================================================\n", "\n", "print('Predicted price of a 1650 sq-ft, 3 br house (using normal equations): ${:.0f}'.format(price))" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { + "interpreter": { + "hash": "f5ec4f5abb42c8def48fd8f20dbba607f2f56bc05cd625983e88adc591328b29" + }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -1299,7 +1634,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.6" + "version": "3.8.8" } }, "nbformat": 4, diff --git a/Exercise2/exercise2.ipynb b/Exercise2/exercise2.ipynb index 79911886..c89cbac6 100755 --- a/Exercise2/exercise2.ipynb +++ b/Exercise2/exercise2.ipynb @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -30,7 +30,7 @@ "import numpy as np\n", "\n", "# Plotting library\n", - "from matplotlib import pyplot\n", + "from matplotlib import pyplot as plt \n", "\n", "# Optimization module in scipy\n", "from scipy import optimize\n", @@ -89,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -148,11 +148,16 @@ " option 'k*' for the positive examples and 'ko' for the negative examples. \n", " \"\"\"\n", " # Create New Figure\n", - " fig = pyplot.figure()\n", + " fig = plt.figure()\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", + " # First grab indecies for accepted (pos) and rejected (neg) students seperately\n", + " pos = y == 1\n", + " neg = y == 0\n", " \n", + " plt.plot(X[pos,0], X[pos,1], '*', color = 'blue', ms = 10)\n", + " plt.plot(X[neg,0], X[neg,1], 'o', color = 'red', ms = 10)\n", + " # used red and blue markers for visibility\n", " # ============================================================" ] }, @@ -165,15 +170,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plotData(X, y)\n", "# add axes labels\n", - "pyplot.xlabel('Exam 1 score')\n", - "pyplot.ylabel('Exam 2 score')\n", - "pyplot.legend(['Admitted', 'Not admitted'])\n", + "plt.xlabel('Exam 1 score')\n", + "plt.ylabel('Exam 2 score')\n", + "plt.legend(['Admitted', 'Not admitted'])\n", "pass" ] }, @@ -192,7 +210,7 @@ "\n", "where function $g$ is the sigmoid function. The sigmoid function is defined as: \n", "\n", - "$$g(z) = \\frac{1}{1+e^{-z}}$$.\n", + "$$ g(z) = \\frac{1}{1+e^{-z}}$$ .\n", "\n", "Your first step is to implement this function `sigmoid` so it can be\n", "called by the rest of your program. When you are finished, try testing a few\n", @@ -202,7 +220,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -233,7 +251,8 @@ " g = np.zeros(z.shape)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", + " det = 1 + np.exp(-z)\n", + " g = 1/det\n", " \n", "\n", " # =============================================================\n", @@ -244,14 +263,24 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The following cell evaluates the sigmoid function at `z=0`. You should get a value of 0.5. You can also try different values for `z` to experiment with the sigmoid function." + "The following cell evaluates the sigmoid function at `z=0`. You should get a value of 0.5. You can also try different values for `z` to experiment with the sigmoid function.\n", + "\n", + "Large positive values give close to 1. Large negative values give close to zero." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g( 0 ) = 0.5\n" + ] + } + ], "source": [ "# Test the implementation of sigmoid function here\n", "z = 0\n", @@ -275,9 +304,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise logistic-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Sigmoid Function | 5 / 5 | Nice work!\n", + " Logistic Regression Cost | 30 / 30 | Nice work!\n", + " Logistic Regression Gradient | 30 / 30 | Nice work!\n", + " Predict | 0 / 5 | Your answer is incorrect.\n", + " Regularized Logistic Regression Cost | 0 / 15 | Your answer is incorrect.\n", + " Regularized Logistic Regression Gradient | 0 / 15 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 65 / 100 | \n", + "\n" + ] + } + ], "source": [ "# appends the implemented function in part 1 to the grader object\n", "grader[1] = sigmoid\n", @@ -298,7 +348,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -328,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -373,9 +423,17 @@ " grad = np.zeros(theta.shape)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", + " #matrix form of X*theta for our prediction\n", + " xtheta = np.dot(X,theta)\n", + " sig = sigmoid(xtheta)\n", "\n", + " #True and then false halves of our predictions\n", + " pos = y*np.log(sig)\n", + " neg = (1-y)*np.log(1-sig)\n", " \n", - " \n", + " J = -(1/m)*np.sum(pos+neg)\n", + "\n", + " grad = 1/m* np.dot(X.T,(sig - y))\n", " # =============================================================\n", " return J, grad" ] @@ -389,9 +447,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost at initial theta (zeros): 0.693\n", + "Expected cost (approx): 0.693\n", + "\n", + "Gradient at initial theta (zeros):\n", + "\t[-0.1000, -12.0092, -11.2628]\n", + "Expected gradients (approx):\n", + "\t[-0.1000, -12.0092, -11.2628]\n", + "\n", + "Cost at test theta: 0.218\n", + "Expected cost (approx): 0.218\n", + "\n", + "Gradient at test theta:\n", + "\t[0.043, 2.566, 2.647]\n", + "Expected gradients (approx):\n", + "\t[0.043, 2.566, 2.647]\n" + ] + } + ], "source": [ "# Initialize fitting parameters\n", "initial_theta = np.zeros(n+1)\n", @@ -426,9 +506,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise logistic-regression\n", + "\n", + "Invalid email or token. You used an invalid email or your token may have expired. Please make sure you have entered all fields correctly. Try generating a new token if the issue still persists.\n" + ] + } + ], "source": [ "grader[2] = costFunction\n", "grader[3] = costFunction\n", @@ -459,9 +550,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost at theta found by optimize.minimize: 0.203\n", + "Expected cost (approx): 0.203\n", + "\n", + "theta:\n", + "\t[-25.161, 0.206, 0.201]\n", + "Expected theta (approx):\n", + "\t[-25.161, 0.206, 0.201]\n" + ] + } + ], "source": [ "# set options for optimize.minimize\n", "options= {'maxiter': 400}\n", @@ -508,9 +613,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Plot Boundary\n", "utils.plotDecisionBoundary(plotData, theta, X, y)" @@ -530,7 +648,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ @@ -567,6 +685,9 @@ "\n", " # ====================== YOUR CODE HERE ======================\n", "\n", + " xtheta = np.dot(X,theta)\n", + " sig = sigmoid(xtheta)\n", + " p = np.where(sig > .5, 1,0)\n", " \n", " \n", " # ============================================================\n", @@ -582,9 +703,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For a student with scores 45 and 85,we predict an admission probability of 0.776\n", + "Expected value: 0.775 +/- 0.002\n", + "\n", + "Train Accuracy: 89.00 %\n", + "Expected accuracy (approx): 89.00 %\n" + ] + } + ], "source": [ "# Predict probability for a student with score 45 on exam 1 \n", "# and score 85 on exam 2 \n", @@ -608,9 +741,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise logistic-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Sigmoid Function | 5 / 5 | Nice work!\n", + " Logistic Regression Cost | 30 / 30 | Nice work!\n", + " Logistic Regression Gradient | 30 / 30 | Nice work!\n", + " Predict | 5 / 5 | Nice work!\n", + " Regularized Logistic Regression Cost | 0 / 15 | Your answer is incorrect.\n", + " Regularized Logistic Regression Gradient | 0 / 15 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 70 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[4] = predict\n", "grader.grade()" @@ -630,7 +784,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -654,17 +808,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plotData(X, y)\n", "# Labels and Legend\n", - "pyplot.xlabel('Microchip Test 1')\n", - "pyplot.ylabel('Microchip Test 2')\n", + "plt.xlabel('Microchip Test 1')\n", + "plt.ylabel('Microchip Test 2')\n", "\n", "# Specified in plot order\n", - "pyplot.legend(['y = 1', 'y = 0'], loc='upper right')\n", + "plt.legend(['y = 1', 'y = 0'], loc='upper right')\n", "pass" ] }, @@ -686,7 +853,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ @@ -718,7 +885,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ @@ -767,7 +934,18 @@ " grad = np.zeros(theta.shape)\n", "\n", " # ===================== YOUR CODE HERE ======================\n", + " #matrix form of X*theta for our prediction\n", + " xtheta = np.dot(X,theta)\n", + " sig = sigmoid(xtheta)\n", + "\n", + " #True and then false halves of our predictions\n", + " pos = y*np.log(sig)\n", + " neg = (1-y)*np.log(1-sig)\n", + " \n", + " J = -(1/m)*np.sum(pos+neg) + lambda_/(2*m)*np.sum(theta[1:]**2)\n", "\n", + " grad = 1/m* np.dot(X.T,(sig - y))\n", + " grad[1:] += lambda_/(m)*theta[1:]\n", " \n", " \n", " # =============================================================\n", @@ -783,9 +961,33 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost at initial theta (zeros): 0.693\n", + "Expected cost (approx) : 0.693\n", + "\n", + "Gradient at initial theta (zeros) - first five values only:\n", + "\t[0.0085, 0.0188, 0.0001, 0.0503, 0.0115]\n", + "Expected gradients (approx) - first five values only:\n", + "\t[0.0085, 0.0188, 0.0001, 0.0503, 0.0115]\n", + "\n", + "------------------------------\n", + "\n", + "Cost at test theta : 3.16\n", + "Expected cost (approx): 3.16\n", + "\n", + "Gradient at test theta - first five values only:\n", + "\t[0.3460, 0.1614, 0.1948, 0.2269, 0.0922]\n", + "Expected gradients (approx) - first five values only:\n", + "\t[0.3460, 0.1614, 0.1948, 0.2269, 0.0922]\n" + ] + } + ], "source": [ "# Initialize fitting parameters\n", "initial_theta = np.zeros(X.shape[1])\n", @@ -832,9 +1034,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 54, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise logistic-regression\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Sigmoid Function | 5 / 5 | Nice work!\n", + " Logistic Regression Cost | 30 / 30 | Nice work!\n", + " Logistic Regression Gradient | 30 / 30 | Nice work!\n", + " Predict | 5 / 5 | Nice work!\n", + " Regularized Logistic Regression Cost | 15 / 15 | Nice work!\n", + " Regularized Logistic Regression Gradient | 15 / 15 | Nice work!\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[5] = costFunctionReg\n", "grader[6] = costFunctionReg\n", @@ -892,9 +1115,39 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Taylor\\Documents\\ProgramsAndScripts\\ml-coursera-python-assignments\\Exercise2\\utils.py:45: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n", + " return np.array(out)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train Accuracy: 83.1 %\n", + "Expected accuracy (with lambda = 1): 83.1 % (approx)\n", + "\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Initialize fitting parameters\n", "initial_theta = np.zeros(X.shape[1])\n", @@ -920,11 +1173,11 @@ "theta = res.x\n", "\n", "utils.plotDecisionBoundary(plotData, theta, X, y)\n", - "pyplot.xlabel('Microchip Test 1')\n", - "pyplot.ylabel('Microchip Test 2')\n", - "pyplot.legend(['y = 1', 'y = 0'])\n", - "pyplot.grid(False)\n", - "pyplot.title('lambda = %0.2f' % lambda_)\n", + "plt.xlabel('Microchip Test 1')\n", + "plt.ylabel('Microchip Test 2')\n", + "plt.legend(['y = 1', 'y = 0'])\n", + "plt.grid(False)\n", + "plt.title('lambda = %0.2f' % lambda_)\n", "\n", "# Compute accuracy on our training set\n", "p = predict(theta, X)\n", @@ -942,8 +1195,11 @@ } ], "metadata": { + "interpreter": { + "hash": "f5ec4f5abb42c8def48fd8f20dbba607f2f56bc05cd625983e88adc591328b29" + }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -957,7 +1213,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.4" + "version": "3.8.8" } }, "nbformat": 4, diff --git a/Exercise3/exercise3.ipynb b/Exercise3/exercise3.ipynb index 044d3634..91a36af5 100755 --- a/Exercise3/exercise3.ipynb +++ b/Exercise3/exercise3.ipynb @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -30,7 +30,7 @@ "import numpy as np\n", "\n", "# Plotting library\n", - "from matplotlib import pyplot\n", + "from matplotlib import pyplot as plt\n", "\n", "# Optimization module in scipy\n", "from scipy import optimize\n", @@ -99,7 +99,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -132,9 +132,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Randomly select 100 data points to display\n", "rand_indices = np.random.choice(m, 100, replace=False)\n", @@ -158,7 +171,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -267,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -348,8 +361,18 @@ " grad = np.zeros(theta.shape)\n", " \n", " # ====================== YOUR CODE HERE ======================\n", + " #matrix form of X*theta for our prediction\n", + " xtheta = np.dot(X,theta)\n", + " sig = utils.sigmoid(xtheta)\n", "\n", + " #True and then false halves of our predictions\n", + " pos = y*np.log(sig)\n", + " neg = (1-y)*np.log(1-sig)\n", + " \n", + " J = -(1/m)*np.sum(pos+neg) + lambda_/(2*m)*np.sum(theta[1:]**2)\n", "\n", + " grad = 1/m* np.dot(X.T,(sig - y))\n", + " grad[1:] += lambda_/(m)*theta[1:]\n", " \n", " # =============================================================\n", " return J, grad" @@ -389,9 +412,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost : 2.534819\n", + "Expected cost: 2.534819\n", + "-----------------------\n", + "Gradients:\n", + " [0.146561, -0.548558, 0.724722, 1.398003]\n", + "Expected gradients:\n", + " [0.146561, -0.548558, 0.724722, 1.398003]\n" + ] + } + ], "source": [ "J, grad = lrCostFunction(theta_t, X_t, y_t, lambda_t)\n", "\n", @@ -417,9 +454,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise multi-class-classification-and-neural-networks\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Regularized Logistic Regression | 30 / 30 | Nice work!\n", + " One-vs-All Classifier Training | 0 / 20 | Your answer is incorrect.\n", + " One-vs-All Classifier Prediction | 0 / 20 | Your answer is incorrect.\n", + " Neural Network Prediction Function | 0 / 30 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 30 / 100 | \n", + "\n" + ] + } + ], "source": [ "# appends the implemented function in part 1 to the grader object\n", "grader[1] = lrCostFunction\n", @@ -448,7 +504,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -526,8 +582,15 @@ " X = np.concatenate([np.ones((m, 1)), X], axis=1)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - " \n", + " for c in range(num_labels):\n", + " # Set Initial theta\n", + " initial_theta = np.zeros(n + 1)\n", + "\n", + " # Set options for minimize\n", + " options = {'maxiter': 50}\n", "\n", + " res = optimize.minimize(lrCostFunction, initial_theta, (X, (y==c), lambda_), jac = True, method = 'CG', options=options)\n", + " all_theta[c] = res.x\n", "\n", " # ============================================================\n", " return all_theta" @@ -542,7 +605,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -559,9 +622,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise multi-class-classification-and-neural-networks\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Regularized Logistic Regression | 30 / 30 | Nice work!\n", + " One-vs-All Classifier Training | 20 / 20 | Nice work!\n", + " One-vs-All Classifier Prediction | 0 / 20 | Your answer is incorrect.\n", + " Neural Network Prediction Function | 0 / 30 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 50 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[2] = oneVsAll\n", "grader.grade()" @@ -580,7 +662,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -634,8 +716,13 @@ " X = np.concatenate([np.ones((m, 1)), X], axis=1)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", + " xtheta = np.dot(X,all_theta.T) #This is our xtheta matrix (often called z) for the predictions\n", "\n", + " sig = utils.sigmoid(xtheta) #This is our sigmoid matrix for each classifier. This is (more or less)\n", + " #the probability of being in any particular class\n", "\n", + " p = np.argmax(sig, axis = 1) #This is the vector that contains the class we predict selected by\n", + " #whatever the highest probability is\n", " \n", " # ============================================================\n", " return p" @@ -650,9 +737,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training Set Accuracy: 95.06%\n" + ] + } + ], "source": [ "pred = predictOneVsAll(all_theta, X)\n", "print('Training Set Accuracy: {:.2f}%'.format(np.mean(pred == y) * 100))" @@ -667,9 +762,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise multi-class-classification-and-neural-networks\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Regularized Logistic Regression | 30 / 30 | Nice work!\n", + " One-vs-All Classifier Training | 20 / 20 | Nice work!\n", + " One-vs-All Classifier Prediction | 20 / 20 | Nice work!\n", + " Neural Network Prediction Function | 0 / 30 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 70 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[3] = predictOneVsAll\n", "grader.grade()" @@ -690,9 +804,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# training data stored in arrays X, y\n", "data = loadmat(os.path.join('Data', 'ex3data1.mat'))\n", @@ -735,7 +862,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -774,7 +901,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -833,7 +960,22 @@ " p = np.zeros(X.shape[0])\n", "\n", " # ====================== YOUR CODE HERE ======================\n", + " #add the zero dimension\n", + " X = np.concatenate([np.ones((m, 1)), X], axis=1)\n", + "\n", + " #note the activation function of the code is still the the same sigmoid function, so\n", + " z2 = np.dot(X, Theta1.T)\n", + " a2 = utils.sigmoid(z2)\n", + "\n", + " #add the zero dimension here too\n", + " a2 = np.concatenate([np.ones((m, 1)), a2], axis=1)\n", "\n", + " #for the next layer\n", + " z3 = np.dot(a2, Theta2.T)\n", + " a3 = utils.sigmoid(z3)\n", + "\n", + " #This should grab our predictions by taking the index with the highest probabliity\n", + " p = np.argmax(a3, axis=1)\n", "\n", "\n", " # =============================================================\n", @@ -849,9 +991,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training Set Accuracy: 97.5%\n" + ] + } + ], "source": [ "pred = predict(Theta1, Theta2, X)\n", "print('Training Set Accuracy: {:.1f}%'.format(np.mean(pred == y) * 100))" @@ -868,9 +1018,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Neural Network Prediction: 2\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "if indices.size > 0:\n", " i, indices = indices[0], indices[1:]\n", @@ -890,18 +1060,44 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise multi-class-classification-and-neural-networks\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Regularized Logistic Regression | 30 / 30 | Nice work!\n", + " One-vs-All Classifier Training | 20 / 20 | Nice work!\n", + " One-vs-All Classifier Prediction | 20 / 20 | Nice work!\n", + " Neural Network Prediction Function | 30 / 30 | Nice work!\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[4] = predict\n", "grader.grade()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -915,7 +1111,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.6" + "version": "3.8.8" + }, + "vscode": { + "interpreter": { + "hash": "f5ec4f5abb42c8def48fd8f20dbba607f2f56bc05cd625983e88adc591328b29" + } } }, "nbformat": 4, diff --git a/Exercise4/exercise4.ipynb b/Exercise4/exercise4.ipynb index 5e218ec5..fdfffd86 100755 --- a/Exercise4/exercise4.ipynb +++ b/Exercise4/exercise4.ipynb @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -29,7 +29,7 @@ "import numpy as np\n", "\n", "# Plotting library\n", - "from matplotlib import pyplot\n", + "from matplotlib import pyplot as plt\n", "\n", "# Optimization module in scipy\n", "from scipy import optimize\n", @@ -87,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -128,9 +128,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Randomly select 100 data points to display\n", "rand_indices = np.random.choice(m, 100, replace=False)\n", @@ -157,7 +170,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -215,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 88, "metadata": {}, "outputs": [], "source": [ @@ -316,9 +329,44 @@ " Theta2_grad = np.zeros(Theta2.shape)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", - " \n", - " \n", + " # Add ones to the X data matrix. This makes our first hidden layer\n", + " a1 = np.concatenate([np.ones((m, 1)), X], axis=1)\n", + "\n", + " # For the second hidden layer\n", + " z2 = np.dot(a1, Theta1.T)\n", + " a2 = utils.sigmoid(z2)\n", + " # Add the bias unit\n", + " a2 = np.concatenate([np.ones((m, 1)), a2], axis=1)\n", + "\n", + " # For the output layer\n", + " z3 = np.dot(a2, Theta2.T)\n", + " a3 = utils.sigmoid(z3)\n", + " # This is the prediction for each class for each image\n", + "\n", + " # The y-vecotor contains all of our labels as intergers. \n", + " # We need them coded as labels per class in a a new matrix (one hot encode).\n", + " # We can do this by grabbing an identity matrix of size mxm and selecting the one hot vector\n", + " # from that matrix for each vector\n", + " y_mat = np.eye(num_labels)[y]\n", + "\n", + " # Now we calculate the cost as in logistic regression\n", + " pos = y_mat*np.log(a3)\n", + " neg = (1-y_mat)*np.log(1-a3)\n", + "\n", + " J = -(1/m)*np.sum(pos+neg) + lambda_/(2*m)*(np.sum(Theta1[:,1:]**2)+np.sum(Theta2[:,1:]**2))\n", + "\n", + " # Backpropagation calculating errors for each activation layer (3 and 2)\n", + " err3 = a3 - y_mat\n", + " err2 = np.dot(err3,Theta2)[:, 1:]*sigmoidGradient(z2)\n", + " # Backpropagation calculating the change term for the gradient corresponding to each parameter matrix\n", + " delta2 = np.dot(err3.T,a2)\n", + " delta1 = np.dot(err2.T,a1)\n", + " # Now our gradients\n", + " Theta2_grad = delta2/m\n", + " Theta1_grad = delta1/m\n", + " # Now regularize the gradients\n", + " Theta2_grad[:,1:] += lambda_/m * Theta2[:,1:]\n", + " Theta1_grad[:,1:] += lambda_/m * Theta1[:,1:] \n", " # ================================================================\n", " # Unroll gradients\n", " # grad = np.concatenate([Theta1_grad.ravel(order=order), Theta2_grad.ravel(order=order)])\n", @@ -351,9 +399,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost at parameters (loaded from ex4weights): 0.287629 \n", + "The cost should be about : 0.287629.\n" + ] + } + ], "source": [ "lambda_ = 0\n", "J, _ = nnCostFunction(nn_params, input_layer_size, hidden_layer_size,\n", @@ -371,9 +428,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise neural-network-learning\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Feedforward and Cost Function | 30 / 30 | Nice work!\n", + " Regularized Cost Function | 0 / 15 | Your answer is incorrect.\n", + " Sigmoid Gradient | 0 / 5 | Your answer is incorrect.\n", + " Neural Network Gradient (Backpropagation) | 0 / 40 | Your answer is incorrect.\n", + " Regularized Gradient | 0 / 10 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 30 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader = utils.Grader()\n", "grader[1] = nnCostFunction\n", @@ -407,9 +484,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 80, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost at parameters (loaded from ex4weights): 0.383770\n", + "This value should be about : 0.383770.\n" + ] + } + ], "source": [ "# Weight regularization parameter (we set this to 1 here).\n", "lambda_ = 1\n", @@ -429,9 +515,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 60, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise neural-network-learning\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Feedforward and Cost Function | 30 / 30 | Nice work!\n", + " Regularized Cost Function | 15 / 15 | Nice work!\n", + " Sigmoid Gradient | 0 / 5 | Your answer is incorrect.\n", + " Neural Network Gradient (Backpropagation) | 0 / 40 | Your answer is incorrect.\n", + " Regularized Gradient | 0 / 10 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 45 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[2] = nnCostFunction\n", "grader.grade()" @@ -470,7 +576,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ @@ -505,7 +611,8 @@ " g = np.zeros(z.shape)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", + " sig = utils.sigmoid(z)\n", + " g = sig*(1-sig)\n", "\n", "\n", " # =============================================================\n", @@ -521,9 +628,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sigmoid gradient evaluated at [-1 -0.5 0 0.5 1]:\n", + " \n", + "[0.19661193 0.23500371 0.25 0.23500371 0.19661193]\n" + ] + } + ], "source": [ "z = np.array([-1, -0.5, 0, 0.5, 1])\n", "g = sigmoidGradient(z)\n", @@ -540,9 +657,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise neural-network-learning\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Feedforward and Cost Function | 30 / 30 | Nice work!\n", + " Regularized Cost Function | 15 / 15 | Nice work!\n", + " Sigmoid Gradient | 5 / 5 | Nice work!\n", + " Neural Network Gradient (Backpropagation) | 0 / 40 | Your answer is incorrect.\n", + " Regularized Gradient | 0 / 10 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 50 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[3] = sigmoidGradient\n", "grader.grade()" @@ -571,7 +708,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 65, "metadata": {}, "outputs": [], "source": [ @@ -609,7 +746,9 @@ " W = np.zeros((L_out, 1 + L_in))\n", "\n", " # ====================== YOUR CODE HERE ======================\n", + " #epsilon_init = sqrt(6)/sqrt(L_out+L_in)\n", "\n", + " W = np.random.rand(L_out, 1+ L_in)*2*epsilon_init - epsilon_init\n", "\n", "\n", " # ============================================================\n", @@ -627,9 +766,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 69, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initializing Neural Network Parameters ...\n", + "Parameters Initialized\n" + ] + } + ], "source": [ "print('Initializing Neural Network Parameters ...')\n", "\n", @@ -637,7 +785,9 @@ "initial_Theta2 = randInitializeWeights(hidden_layer_size, num_labels)\n", "\n", "# Unroll parameters\n", - "initial_nn_params = np.concatenate([initial_Theta1.ravel(), initial_Theta2.ravel()], axis=0)" + "initial_nn_params = np.concatenate([initial_Theta1.ravel(), initial_Theta2.ravel()], axis=0)\n", + "\n", + "print('Parameters Initialized')" ] }, { @@ -720,18 +870,57 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 83, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'utils' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mutils\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcheckNNGradients\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnnCostFunction\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;31mNameError\u001b[0m: name 'utils' is not defined" + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-9.27825235e-03 -9.27825236e-03]\n", + " [-3.04978709e-06 -3.04978914e-06]\n", + " [-1.75060084e-04 -1.75060082e-04]\n", + " [-9.62660640e-05 -9.62660620e-05]\n", + " [ 8.89911959e-03 8.89911960e-03]\n", + " [ 1.42869450e-05 1.42869443e-05]\n", + " [ 2.33146358e-04 2.33146357e-04]\n", + " [ 1.17982666e-04 1.17982666e-04]\n", + " [-8.36010761e-03 -8.36010762e-03]\n", + " [-2.59383093e-05 -2.59383100e-05]\n", + " [-2.87468729e-04 -2.87468729e-04]\n", + " [-1.37149709e-04 -1.37149706e-04]\n", + " [ 7.62813550e-03 7.62813551e-03]\n", + " [ 3.69883257e-05 3.69883234e-05]\n", + " [ 3.35320351e-04 3.35320347e-04]\n", + " [ 1.53247082e-04 1.53247082e-04]\n", + " [-6.74798369e-03 -6.74798370e-03]\n", + " [-4.68759742e-05 -4.68759769e-05]\n", + " [-3.76215583e-04 -3.76215587e-04]\n", + " [-1.66560294e-04 -1.66560294e-04]\n", + " [ 3.14544970e-01 3.14544970e-01]\n", + " [ 1.64090819e-01 1.64090819e-01]\n", + " [ 1.64567932e-01 1.64567932e-01]\n", + " [ 1.58339334e-01 1.58339334e-01]\n", + " [ 1.51127527e-01 1.51127527e-01]\n", + " [ 1.49568335e-01 1.49568335e-01]\n", + " [ 1.11056588e-01 1.11056588e-01]\n", + " [ 5.75736494e-02 5.75736493e-02]\n", + " [ 5.77867378e-02 5.77867378e-02]\n", + " [ 5.59235296e-02 5.59235296e-02]\n", + " [ 5.36967009e-02 5.36967009e-02]\n", + " [ 5.31542052e-02 5.31542052e-02]\n", + " [ 9.74006970e-02 9.74006970e-02]\n", + " [ 5.04575855e-02 5.04575855e-02]\n", + " [ 5.07530173e-02 5.07530173e-02]\n", + " [ 4.91620841e-02 4.91620841e-02]\n", + " [ 4.71456249e-02 4.71456249e-02]\n", + " [ 4.65597186e-02 4.65597186e-02]]\n", + "The above two columns you get should be very similar.\n", + "(Left-Your Numerical Gradient, Right-Analytical Gradient)\n", + "\n", + "If your backpropagation implementation is correct, then \n", + "the relative difference will be small (less than 1e-9). \n", + "Relative Difference: 2.41759e-11\n" ] } ], @@ -748,9 +937,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 84, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise neural-network-learning\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Feedforward and Cost Function | 30 / 30 | Nice work!\n", + " Regularized Cost Function | 15 / 15 | Nice work!\n", + " Sigmoid Gradient | 5 / 5 | Nice work!\n", + " Neural Network Gradient (Backpropagation) | 40 / 40 | Nice work!\n", + " Regularized Gradient | 0 / 10 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 90 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[4] = nnCostFunction\n", "grader.grade()" @@ -790,9 +999,64 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 86, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-9.27825235e-03 4.12100067e-02]\n", + " [-1.67679797e-02 -1.67679797e-02]\n", + " [-6.01744725e-02 -6.01744725e-02]\n", + " [-1.73704651e-02 -1.73704651e-02]\n", + " [ 8.89911959e-03 6.34569652e-02]\n", + " [ 3.94334829e-02 3.94334829e-02]\n", + " [-3.19612287e-02 -3.19612287e-02]\n", + " [-5.75658668e-02 -5.75658668e-02]\n", + " [-8.36010761e-03 1.07092866e-04]\n", + " [ 5.93355565e-02 5.93355565e-02]\n", + " [ 2.49225535e-02 2.49225535e-02]\n", + " [-4.51963845e-02 -4.51963845e-02]\n", + " [ 7.62813550e-03 -3.77800142e-02]\n", + " [ 2.47640974e-02 2.47640974e-02]\n", + " [ 5.97717617e-02 5.97717617e-02]\n", + " [ 9.14587966e-03 9.14587966e-03]\n", + " [-6.74798369e-03 -6.42834402e-02]\n", + " [-3.26881426e-02 -3.26881426e-02]\n", + " [ 3.86410548e-02 3.86410548e-02]\n", + " [ 5.46101547e-02 5.46101547e-02]\n", + " [ 3.14544970e-01 3.65033229e-01]\n", + " [ 1.18682669e-01 1.18682669e-01]\n", + " [ 2.03987128e-01 2.03987128e-01]\n", + " [ 1.25698067e-01 1.25698067e-01]\n", + " [ 1.76337550e-01 1.76337550e-01]\n", + " [ 1.32294136e-01 1.32294136e-01]\n", + " [ 1.11056588e-01 1.65614434e-01]\n", + " [ 3.81928689e-05 3.81928696e-05]\n", + " [ 1.17148233e-01 1.17148233e-01]\n", + " [-4.07588279e-03 -4.07588279e-03]\n", + " [ 1.13133142e-01 1.13133142e-01]\n", + " [-4.52964427e-03 -4.52964427e-03]\n", + " [ 9.74006970e-02 1.05867897e-01]\n", + " [ 3.36926556e-02 3.36926556e-02]\n", + " [ 7.54801264e-02 7.54801264e-02]\n", + " [ 1.69677090e-02 1.69677090e-02]\n", + " [ 8.61628953e-02 8.61628953e-02]\n", + " [ 1.50048382e-03 1.50048382e-03]]\n", + "The above two columns you get should be very similar.\n", + "(Left-Your Numerical Gradient, Right-Analytical Gradient)\n", + "\n", + "If your backpropagation implementation is correct, then \n", + "the relative difference will be small (less than 1e-9). \n", + "Relative Difference: 0.111143\n", + "\n", + "\n", + "Cost at (fixed) debugging parameters (w/ lambda = 3.000000): 0.576051 \n", + "(for lambda = 3, this value should be about 0.576051)\n" + ] + } + ], "source": [ "# Check gradients by running checkNNGradients\n", "lambda_ = 3\n", @@ -808,9 +1072,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 89, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise neural-network-learning\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Feedforward and Cost Function | 30 / 30 | Nice work!\n", + " Regularized Cost Function | 15 / 15 | Nice work!\n", + " Sigmoid Gradient | 5 / 5 | Nice work!\n", + " Neural Network Gradient (Backpropagation) | 40 / 40 | Nice work!\n", + " Regularized Gradient | 10 / 10 | Nice work!\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[5] = nnCostFunction\n", "grader.grade()" @@ -828,16 +1112,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 108, "metadata": {}, "outputs": [], "source": [ "# After you have completed the assignment, change the maxiter to a larger\n", "# value to see how more training helps.\n", - "options= {'maxiter': 100}\n", + "options= {'maxiter': 500}\n", "\n", "# You should also try different values of lambda\n", - "lambda_ = 1\n", + "lambda_ = .8\n", "\n", "# Create \"short hand\" for the cost function to be minimized\n", "costFunction = lambda p: nnCostFunction(p, input_layer_size,\n", @@ -874,9 +1158,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 109, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training Set Accuracy: 99.700000\n" + ] + } + ], "source": [ "pred = utils.predict(Theta1, Theta2, X)\n", "print('Training Set Accuracy: %f' % (np.mean(pred == y) * 100))" @@ -899,9 +1191,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 110, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAIuCAYAAABdOBlOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAB5iUlEQVR4nO29Z7Rd5XW2PV0AVdR7OapHvXcJCVEkhAAjSgBTTXMcgm2c2AM7wcYFx/EgGEOMHRewseiYIgRCgAqoc9R77733AgLy/XnHO75x5jX1rpV9zpF4cl8/b6159l7rKesZW/ec8wv//d//bUIIIYQQqfHF0/0FhBBCCCHKAx1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogk0SFHCCGEEEny5VP94+jRoyssv5xS2b/whS9kui4iT/zJkyeddvbZZ2f+rNPNLbfc4m7217/+9WmtD1BoeQIav4jPPvvMaV/84ufnDH/fffe5m/3LX/7yv6a+Q6Fr/XTzta99DSfrK6+88vm5iYx86UtfQp32S9pXzXhsaQ1HlMfcuOaaa9wYPv3005/r8aM9MHp2tAajMSmP559nvyduu+02/AOfn7eAEEIIIUQOdMgRQgghRJLokCOEEEKIJNEhRwghhBBJckrj8enm6NGjTjt27Bhe++Uv+1v59NNPnfbxxx9jfLVq1TJ9vpnZWWed5bTKlSs7LY/xtVDT1emGjGikRUZEMriRwfHw4cOZ48855xy8tkqVKpk+K49B7/M+fkSee6JraZ0cP34c4+la0szMTpw44TQaf9oTzLKbJj9Pxmcz/r60B0b7Eq0XunbXrl0YX7VqVaft3bsXr6X5UqNGDadFJmca28+7eZ2gvSpal0eOHHHawYMHnVa3bl2MP3ToUOZraVzofRk9f5qX5TVW+iVHCCGEEEmiQ44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSQVnl0VOahJ/+STT5xGDnAzzo46cOCA0yJnOpUk//DDD/Hanj17Oo2+a/Xq1TG+0CyAimpXQA766PnRtfT8N2/ejPGU2UHZAtG9f/TRR06LMrG6dOniNMoMoTllxmNFn38mZlxF34meP60JyiKMoAyYOXPm4LX79+93Wtu2bfFaWlf16tVz2r59+zCeMn4o2yO614psF0JZY3naH9A9RPdFz5DWdbSvrV692mldu3bFa1etWpXpsypVqoTxdC2twYok6x4erUF6h1A2cePGjTN/p5o1azotypiicY0+i+YKPf/oHbphwwan0b1Sdlle9EuOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEk5Wo8prLsZPAz43L/RUVFTiPTqJlZ69atnTZ69GinReY0MlhFBj8qX92hQ4fMn0XPZffu3U6LWiCce+65qBcCtbsg4yYZRM3M9uzZ47TmzZs7LTISkqF8wYIFThs5ciTG0/d69NFH8dp3333XaWTGpDE147L28+fPdxoZCSsSMmeSmdjMbNu2bU4jMzaV3jczW7x4sdPIeE5zwozn35YtW/Ba2hdo/NesWYPxtK5oTeUxnpcFWdvFRO1KGjZs6DRqgREZspcuXeq0UaNGOS0yHtPz3r59O15Lf4Pio/2G5kDLli2dRvdvVtgYRrG0tug+o+9Ee+iKFSucFrUmopYp3bt3d9rMmTMxnvaAaKzvuusup1GiSLQGaQ7SfhWZ5PMkdeiXHCGEEEIkiQ45QgghhEgSHXKEEEIIkSQ65AghhBAiSXIbjyPTFZmGatWq5bTISEYVEMm0FBlXyeDWtGlTp0VGJjJ9XXnllXjthAkTnNakSROnRdUiySBG1UIjg2EhlXSjaq1UBZaMiOPHj8d4MgK2adPGaZHpkSpoknF34MCBGE+mt3HjxuG1VAm5UaNGTiPjsxl/11atWjlt3bp1GF8ehmQyyZORlSqgmvG6pL9J5kQzNilv3LjRabVr18Z4qoTcvn17vLZPnz5Oe/LJJ51GZmgzNmOSwTIyadP6jaC1GiU01KlTx2m0h9D8M2Oj9NatW51GYxVdO3XqVKeRodzMrLi4GHVi06ZNma6j6vJm/F3pfRElaUTPIAvR+NG7ibToHUTPlZ5p9N07derkNKo4HJmJybj++OOP47U0rxctWuS0KHmG3pe0B1PVdLP43UjolxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkpwyuypP6WtynFPGE2VcmHG7htmzZzutSpUqGF9SUuI0cnBHmS3Hjh1z2o4dO/Dam266yWn0XSMX/fr1651GbvEoEybKkCoNjV8US255yoQZPHgwxlMWxIgRI5y2bNkyjKdMOJo/UXbXHXfc4bRHHnkEr6VnTdl1URZFs2bNnEbPNRp/yu7KSjR+pNOYRq1GKAuFspOiNdG7d2+nDR8+3GmURWnG2V0vvvgiXrty5UqnXXLJJU5r0KABxmdtYRKNX5TxkZUoO5KyXmiuRmX9KZOGMsHatm2L8ZTNVrduXafR/mVmdvDgQafRujbjsYm+F0H79cKFC51GWZ9m8dhmIWrLQBmyLVq0cBplB5qZTZ8+PdPn03M2M3vuueecRmPVtWtXjKc95LzzzsNraR9//fXXnUb3b8aZgDT/o/0qGldCv+QIIYQQIkl0yBFCCCFEkuiQI4QQQogk0SFHCCGEEElySgddnvYBn376qdPI9NauXTuMv+CCC5xGJbGp9LOZ2dq1a51GLQB2796N8VRmnIx8ZmxaGzJkiNPIDG3GhmJqqxCVlY9aW5SGxi8qs01tOci4HJk5qYUAlR+PSvWTEY1aJfziF7/AeCqJf8stt+C1Y8eOddoHH3zgtG7dumE8GU/JtBeVlD906BDqWYjGj9YfGRTpOZmZvfrqq06jMu2XXXYZxlO7h5tvvtlpv//97zF+3rx5TrvrrrvwWporNNcjg+a0adOcRs8vuteoXQtBayhK6CAz7dGjR50Wmb/nzp3rNHpWkXF6xYoVTrvtttucFrUFIPM+tVsxY0PyqlWrnBa1AaGkBDKPU6sCszipIAtR8gsZwmn8opYW9EzovRAlX/Tq1SuTFo1f/fr1nTZz5ky8lgzN3/rWt5wWtV8YNGiQ0yjRIWphkcc4rl9yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogkyV26MzLNkRGIKjtGpqesxuXI9FejRg2nkZkxMhNfccUVmTQzNgSTSXPAgAEYv3TpUqeRSTmq9hiZd7MQVXwmMyyZ/qKKtWSGJnNfZHylefWjH/3IaVRVM7o2qs5M1bU7deqE1xJUnZeeFZm5CyUyHq9bt85pVJU0MvPS/Y8cOdJp0Zwkg+R//ud/Oi2qeE6m0chgS5Vxaa5FFcNpryJDfWR6LHRcI+Mvmaepii8ZjM04+YLW2+jRozGejKdjxoxxWrSuyHgaVWcmk3Pz5s2dFpn36Vra22rVqoXxUVJHaWhfiuYVzUsaazJNm5m1bNnSaZQ8QWZiM96DOnbs6LTIDE5jHZn3b7zxxkzf67HHHsN4mhc0V6PzRp6kKP2SI4QQQogk0SFHCCGEEEmiQ44QQgghkkSHHCGEEEIkiQ45QgghhEiSMsuuytqC4fDhwxhPzvjevXs7bcmSJRhP2Rnk1o5KtZPbPsqioOyc7t27Oy1ypm/evNlplAVQt25djKcWAlmJ7omyACg7LspCouy2d955x2mRK/7666932qRJkzJ9jpnZT3/6U6c99dRTeC1l6O3cudNpbdq0wfg1a9ZkupaysMzi7JosRLGUXdSvXz+nReNHWXNDhw51Go2Jmdlrr73mNCpp37lzZ4z/2te+5rRRo0bhtS+//HKmaym7zIzL59O9UsanWbwHZiVaAwcOHHAaZbxEpfYpu4rmevT9KZv07bffdhqNq5nZc88957RovGkPbNasmdMoa9CMWyvQfhntF4UQZRhS1h6NSfReoL2Z9qUoY4zaatD7MmptRPOK3gFmPFYLFixw2rBhwzCe3rc0plE2ZtQugtAvOUIIIYRIEh1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuR2QEamOdLJDByZtqjVAZW/jkqak8Ft5cqVTrv33nsxnoxMkemJys3TZ0UGv02bNjmNDHKRaa482gVQSXAyOFerVg3jyXRH8XSdGRvZ3nzzTaetXr0a46mtAJV+N2NDO5kBoxYYTZo0cRq1W6C2JIUSrb8OHTpk+k60Js3Y+EtEpvcbbrjBadQqhNonmJkVFxc7je7JzOz73/++08iMGbVloLL8lKRARk6zfCXl88TT2JDxtF69ehhPyQ9kPI7GgEy+ffv2ddpLL72E8TfffLPTIuMqtcGZNWuW06I2MNRagu412sMLGcNoDdA7gPYAMtia8R5GbYiiVhm0h77//vtO69q1K8bff//9Ttu1axdeS8kX9G6P2jjRe4DWZbRfRUkBhH7JEUIIIUSS6JAjhBBCiCTRIUcIIYQQSaJDjhBCCCGSpMyMx2RyJHMZmRHNuOIqaU8//TTGP/roo04jg92ECRMwvnXr1k6LTE8EGaIjgxhVfSbjc2Rcpuq2WYlMc/T5ZLBu0aIFxjds2NBpZGS86qqrMJ6MZHnMvEVFRU4jI6QZGyepimu7du0wnp4/PavItEcm76xE64/M0DR/SkpKMJ5M1suXL3daZObt37+/02j8ItPsli1bnLZt2za8tkePHpnio4rV8+bNcxoZNMncamZ25MgR1LMSGdpJp4qxZNA0Y/M2VZY999xzMX7OnDlOo3sdNGgQxtPanD9/Pl5La4iM5m3btsV4+l40t6LqwCdOnEA9C1EsVTinsSKDtBlXDKZOAtEe/OSTTzqNDL4XXXQRxlM181WrVuG1VE19wIABTovWMJmv6X0dVdem9R6hX3KEEEIIkSQ65AghhBAiSXTIEUIIIUSS6JAjhBBCiCTRIUcIIYQQSZI7uyqCMoYoE4TKlJuZbd261WlUfr9nz54Y36VLF6dRJkiUXdSoUSOnUWaCGWfSUMbMmDFjMJ4yBiizgloNmHEmVFaijC3KVqD7P3DgAMZTCwpy4EeZHTT+9Jzvu+8+jCeoJLoZO/Z/8IMfOI1Kl5uZTZs2zWn169d3WjRO0RgUArVAoWcdZatQxghlcUQtAWj9UQYEZTaZccYH3ZOZ2WOPPeY0eqZDhw7FeNLp/qlMvpnZ2rVrUc9KNP7UwmDgwIFOizLsaA+mDNfdu3djPK1hei60V0Z6lAnUq1cvp9HeQuvKjO/1rLPOclqUDUiZfwQ96yi7lVre0PeMxn/27NlOo/GPWttQJhWN3yOPPILxlIl2xRVX4LXUWijP+5ayrCm7L8pko6yzCP2SI4QQQogk0SFHCCGEEEmiQ44QQgghkkSHHCGEEEIkSZkZj6mkNZlZyQhnxqXC77jjDqdR6Wszs4ULFzrtyiuvdFpkhKKy7ps2bcJrybhHhk4yopmxoZc0MneZcQuErEQl5ffu3es0GlMqvW7GZbrfeustp61fvx7jV6xY4TQyLdJ3MuMWDJFxlMaFSsKTEdOMy+dTC4do/kTjWgi01pYsWeK0qFUBjX/Tpk2dFq0/Mi2ScT5qK0HtC6IWMN27d3carb+oJHy3bt0yXRsZdAtpCXAq6BmSwZJM+mZs1KdWCx999BHG03itXLnSaS1btsR4MslG5n0yxdMePmrUKIynsdm8ebPTorYOWVvjkEk4Mn7THkIG58h8f8MNNziN9sWorcjw4cOdRkkS0TuA9stZs2bhtdQGiYzHtAeZ8X3RXKe9Ni/6JUcIIYQQSaJDjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJLmzq6LspI8//thpVFafSr2bcan0Vq1aOY0c9Gac8UDa+PHjMZ4yE9577z289sYbb3TakCFDnEYOcjPOEGrevLnTqMy7WTwGpaHMgKjMOV1L2TWdOnXC+D179jiNSrJHz4RaeFCZdsrYMjObMGGC06LvShkXy5cvd1rUwoDaNVDWYKGZHUSUWUfZeX369HFaVGaf1grNFVrnZlySn54TZcGZcSYVZeyZZc84WrduHcbTuFImXZTJlye7kTJxomeYNRMqynCjZ0tZY1OnTsX4W2+91Wm0L0StWbZt2+Y0ysIx4xYGtDdEmWzz5893GrXWidYgPWuCxi9qCUHrZd++fU6LMpZoXlO7lChrl8af5nrUVmLKlClO69u3L15La4v25mi9jxw50mnVq1d3GmXcmcV7A6FfcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJMltPI5Mk2TGovLRF1xwAcaTSfX11193Ghl0zdj0dueddzqtbt26GE8m56gtABkSx4wZ47QmTZpgPJnZyDRHZlKzuCx3Fr78ZR5yMrPR57zwwgsY37BhQ6dRqX4yeJuZNW7c2GmTJ092WjT+7du3d1pk0PzDH/7gtKKiIqddc801GE/jSmMaGfyyQn8zGnsyg5LJeMaMGRhPxn9aU1FLgeuuu85ptKZHjBiB8TT/ovL3ZFCk/YeMz2ZsMqb1t2HDBowvlDxtPch4HK1hMv/36NHDaZRQYMaJDmR83blzJ8ZTa5Nly5bhtfQdqC1BZDCl70DPlfYls3hulIbWYGRaJjMuvS/z3FPXrl2dFo0/mZzp/j/44AOMp+d/+PBhvJbGj96t0Xlhzpw5TqM1GMXnMf/rlxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkOuQIIYQQIklyG48jMyWZ+aja5ZEjRzCeDG4rV67MpJmxSfe+++5zWlTFlEx7UXXgY8eOOY0MoQMGDMD43bt3O42Mo2R6MzM7ePAg6lniqQKqGZs5yQxMmpnZ6tWrnUaVmaNqqc8884zTyEy8fft2jC8pKXFa9Jx69erltA4dOuC1BBk0yeC5Zs0ajM9qPKW1FpnRs5qUI+MyVYalNU3Vvs3MlixZ4jSa51G110GDBjktMo2SIZk+KzK5U0IBrelCjePR34jGn0yWFB9VkSXzNf1NMqia8XolM21k6D/vvPOcRoZ2MzbZUtXraF1mNQRH75usVcfp+dNeGX0+3VP0XqFxrVevntM2btyI8cT06dOdRpXQzeL1Ruzdu9dpNFfovWDGa5P25ajqfNaq/2b6JUcIIYQQiaJDjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJLmzq6KMH3I7UxYKZQCYmW3ZssVpVD4/iu/UqZPTqHT3ihUrMJ5KbXfs2BGvJcc3lTSPysJThgtlzZRFdkdpovGj8vHk4o8yxig75aGHHnJa27ZtMZ4yqajMd9Rqg8bqrLPOwmsp44LKjEel39evX++0jz/+2Gl5yvdnJfqbJ06ccBqtKRonM56rtCaefPJJjJ8wYYLT6JkUFxdj/Pjx451GZebNzBo1auQ0mr9RJmDlypWdFmUclQfRuqaxpSwWaoER6TQuUVsAWm/URoUyfsy4BUDv3r3xWno3UDYiZeyY8R6ctd1HoUR7KO0XNCb0nM04a5DaF1DGlhlnnk6dOhWvJajlS9TGh7IxL7/8cqdFrY1obVJbiEqVKmF8NAaEfskRQgghRJLokCOEEEKIJNEhRwghhBBJokOOEEIIIZIkt/E4KqdMxkcyeNavXx/jyYxHJtWoTDcZf6nM9ogRIzCeWgBE5btnz57tNDLzRcZXMp6RwYw0s3ymq9JE40fPlUqvP/300xhPJldqdbB582aMp/LtZGSMyryTQY2+kxm3BqF2H8uXL8d4Mj22adPGaXlKjxcKmXxpTUZtHWiukkF38ODBGF9UVOS0Vq1aOS1qdUEGSWorYcamx4svvthp0V5Bz4rmekVDxmPaF2mvM2NDNo03zQszfgabNm1yWmTIp/VC42LG62Xu3LlOi9q40Byg+RpRHkkdNH7UxiZ6L9B8p+QPMtmb8b704IMPOi3aQ2lt1qxZE6+lvZn2O9oDongav7JI3tAvOUIIIYRIEh1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuQ2Hn/22WeoU7VCMl1FZloyju7Zs8dpBw4cwHgy827dutVpkZmYKp5GlSWp6i6ZpiKDX/QMS1OIwTgi+uwWLVo4rWHDhk6jMTHjcS0pKXHarFmzMH7y5MlO69Wrl9OoMnT0+YsXL8ZrIzNcaaJqm2TwI+N51nEuC6LvWpqoWi1VoG3Xrl2m68x4XZHx9ytf+QrGDx061GnRWqd9ZceOHU6L9hoaF1pr5WFOPRW0tsh4efToUYxfsmSJ07p16+Y0qmRtxvdLFbLJNGpm1r17d6dFJmlax02bNnXatm3bMJ7me3nsl3mg50dm3Kjqe2ToLk00fmQSzrpWzHhe9ezZE6+lcaV7rVq1KsaTobq89kv9kiOEEEKIJNEhRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIktzZVRHkrI5c4FmhTA7K4oo+n66NytqTC50ytsw4k4ZaSNB1ZnHWx5kGZTA0adIEr6XMCMoM6d+/P8bTMyG3fVSqnz4ryiSiOVCtWjWnRdka9FwqMpOqEKKMP5qrlAFBZf7NODOEPqtjx44Yn6ckP61L+l5RJiCt9WitViSUnUNzNZqX1JqG9uAoa42ya+i5RJ9P2T0nT57Ea6mFBLU7iNZw1sy3is6QKw3tC9G8pLGm5xe9P6g1DcXTdWa8hzZu3BivpdYoFB9lw5Ie7U2Fol9yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogk+cLpNmYJIYQQQpQH+iVHCCGEEElyyrzJRx99NLmfeaJUX9IpLf1U+unkO9/5jsvr/M1vfpPc+KXKvffe68bvr3/9a3LjF6UfZ22aGemn+xfpW2+9Fb/sv/7rv36ux5CedTQuNAZ5ymWc7n315z//ubuxKVOmfK7H738TQ4YMwYl55r2thRBCCCHKAB1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkpz+hi3/BzKzUS8M0szYuEj9MapWrYrx+/bty/xZZLDL07uIzHin2zhZUeS5zzwG08gMWQgV+VmfF/KYTvOMH/XtidYf/V0yrf5vWVOnIs++RM/r2LFjmeOppxv1tIv+LvXOisZQY+uhsc6qmfF6q0gzeHntq/olRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEk5ZpdlTULwowd3+S2p4wpM87OqFu3rtPatGmD8SUlJU47fvw4XtuwYUOn0Xfdtm0bxtN3pedSq1YtjD8TyZrtEDnoq1ev7rQvf9lPzxo1amA86bt27cJrd+7c6TQak8qVK2P8yZMnUS9NnsyW8oCedfSdzjnnnEzXRs+U5u+hQ4ectnr1aowfPHiw07Zs2YLXRhmSpTn33HNRj/aQrJypmT20XuhemzVrhvE039evX++0hQsXYny3bt2ctmHDBryW1itpUVsI2m9pXZ7uVhF5yNoWg+7djN8XtK9GewDNn+j503fNOv/MzM466yynnThxwml79uzB+Dx8fmaAEEIIIUQOdMgRQgghRJLokCOEEEKIJNEhRwghhBBJUq7GYzItRWbeAwcOOI0MhlGp9yVLljiNjIvVqlXD+JUrVzrt8ccfx2sfe+wxp9WrV89p+/fvx/hOnTo5jcxkkekreganEzKiNWnSxGl9+/bF+BdeeMFpixYtctrdd9+N8WR63Lx5M15LhnCaf9FcJeMejQmZ606lZyFPWwX6ntH8pzlJ6+e//uu/MP6iiy5y2o4dOzJ/fqtWrZy2dOlSvLZdu3ZOo/E7fPgwxtNcITN61NKADJZlAY0tzRUyiUc6fddo/5gyZYrTyDweGa/JkBw9KzLE0nhFn0Vzm1rz1K9fH+Mp0aA8oD082tfJOEzvpSi+RYsWTqPnFN07JeqQ8dzMrKioyGn0vou+K73bP/74Y7y2UPRLjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJGXmoCMz0+7du50WmTnJ5Dhw4ECnRRVvyWRK1VlHjRqF8b1793babbfdhteSQYpMymSmNDOrU6eO06g6a1TZsjwqrmattkkGTzOzKlWqOK1Ro0ZOIyOdGRsRR4wY4bR3330X49966y2nHTlyBK8lg9w111zjNJq/ZmyQJNNjy5YtMT4yDxcCGQxprUVG0DVr1jjt/fffdxoZ7M3YUEzP9PXXX8d4MsPmSRKgKr7ROlm8eLHTaP+I9hqqeF4WZK16TmvNjI3SZEZesWIFxpOZlOZVpUqVMJ6qxpPJ24zXy6pVq5wWVczt0qWL08h4G71v6PMLheYw7ZeRoZ3229q1azttyJAhGE9zmCoGL1++HONprm3cuBGvJZMyGdej6uTFxcVOo3kd7VdZq86b6ZccIYQQQiSKDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJdMgRQgghRJLkzq4it70ZZ5xQxkznzp0xftmyZU6jktJt27bF+D59+jht2LBhTiNXtxmX/46yY1588cX/8eebmc2fP99p27dvd1rNmjUxnjJJCMrWiPjoo4+cRm7/6G+2b9/eaZTBMGnSJIyncfmXf/kXp7Vp0wbjKTuI7snM7Dvf+Y7TxowZ47TrrrsO42msKDswKp+eta0DZQdFGUOUsUVZHFOnTsX41q1bO42yE6O5N23atEyff8kll2A8ZbJF40dZe5TxOGDAAIz/j//4D6fR86MMErPyyW6M/m603xKUiUR7WJQx07hxY6e9+eabTovmAGVnPfPMM3gt7SODBg1yWjQGlLVE640yhszidgOFQPfUoEEDp0XzevXq1U6j7KS3334b42kPpX2ZnrMZZywdPHgQrz1x4oTTaL+k1i5mnAlG2VVRJiG1G4nQLzlCCCGESBIdcoQQQgiRJDrkCCGEECJJdMgRQgghRJKc0nhMZryozDYZrMhIFZkuBw8e7DQyc0ZGPGqhQMbHqK0AmRnJdGfGhuB169Y5bdGiRRhPZqxx48Y5LTJORobk0tCzikyTVP6dytqTwdyMzYxUPp/MiWbc1oJKt2/btg3jO3Xq5LTIoEfjQvOSSqKbsRmQ1sXevXsxPjJDloaMjHlMr2TGjcrZk8GPWp107doV43fu3Ok0SjyI1i+t1agtCs1/mmtz5szBeJpDZNqMStJHe2B5QC0UaFzNuA0GretoDdJ8IzMqGdLNzL7xjW9kvvZPf/qT0372s585beLEiRhPxlf6rtFeGbULyEK0BmlcaF1Fxm0aP2pBQ6ZdM56vW7duzRxPe/isWbPwWjKpk0k82uvmzZuHemnovWyWL6lGv+QIIYQQIkl0yBFCCCFEkuiQI4QQQogk0SFHCCGEEElySvcVGawqV66M17Zo0cJpZKSqU6cOxpPJk+LJDG3GFW+nT5/utO7du2N8hw4dnEZmYjOzv//7v3caGeEic1S/fv2cRqY1Mv6aZTfN0bOKKljS55NpLDJuk8mcqlJStWAzNmM3b97cadG9U3XpSy+9FK8lM13t2rWdFhn0yCRPxlnSzAqrmBv9TTL+0ppq0qQJxlPiAFXxJsOhGZspaayj9U+VzKPqzGRepnkZVVul+6LvX69ePYw/fvw46uUBGf0j8ziZjGmuR3vgjBkznEZzNao6TlWIp0yZgteSIbekpMRpVPXezGzVqlVOGzVqlNOOHDmC8ZF5uxDoHUDPJKriS/F0bWR8p6rtdP+UUGBmNnPmTKfRe9WM92YyiUeJBmSop3lNCSlm8TmA0C85QgghhEgSHXKEEEIIkSQ65AghhBAiSXTIEUIIIUSS6JAjhBBCiCTJnV310Ucf8R+CrBfKQvjSl76E8VQunrIbIrc+leqnsvJRZsuKFSucRllQZmYLFixwWv369Z3WtGlTjKeMCfquUSZb1pLWdK/kao+gMt9z587Fa3v06OG0Xr16OY2ysMy4/Pv555/vtHbt2mE8ZRf9/Oc/x2vPO+88p1EmUpSBQS0EKAsiamHy6aefop6FaOxprVF2ImWgmHFJeHom0edTdho9E7rOjNdPlIVCGSMvvvii09q3b4/xDRs2dBplrERZVIWMn1mccUJ7I+23tC7NeA+mrLkoQ5IyliiTsH///hjfsmVLp91555147Ycffui0v/3tb07r27cvxtPeTHvb0aNHMb6QDMcIev6ffPKJ0+hdY8YZS5QNG7U6oEwuGr9oDdLfja599dVXnUZ7SPScqY1KlHlZKPolRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIkmz9Af5/RCWlN2zY4DQy05I5zcxs7NixTlu2bJnT6tati/GzZ892WufOnZ1GpcPN2PhKbQ3MzJYsWeK01q1bOy1qoUCl9cl4uXbtWowvhMh4TONKZu7I9EZmTGpBQCX1zdgMTPMngsb1xhtvxGu3bduW6XtRWwozs5MnTzqNSpJHxuOsbTnyQAZTMg3SmjAzW7p0qdPIIE/tW8y4BQkZd6NWCfRZUUl3Gr+tW7c6jVq1mLGhnErq03cy42ddFtC82Lt3r9PItGtmNnz4cKdR8sIHH3yA8WTmpb2KDO1mvIfR9zfjpAwyo0aJBrTfUwuCoqIijC/EPB61FCDjOM21yLxP35X2oC1btmD8oEGDnEbPmdodmfF9denSBa8lQ/OAAQOcFrWhofctJRrkad8QoV9yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogkOaUDkkw/UQVJMu6RyTgy41K1RzIzTps2DePJ4ERGvm7dumE8mWzJTGxmdssttzitTZs2TosMetu3b3fa8uXLnVZoZVUiT6VPen7XXXcdXhvNi9JMnDgR9WHDhjltzpw5TouMhFTxODIOk8Fy/vz5TiMzsRmbtyNDdllzzjnnoE5mRvqeL730EsZTtVka/wceeADjaV3XrFnTaVG1VzIi0p4SfYfdu3c7LUqSoHVFJu0o8aC8IJMw3Ve0hmm+klE8MvRv2rTJaTSu1157LcbTfhd9FhliaQ+PzN/0Xenzy6OycQStQUo+iBJKnnrqKadRQka0B1A3gAsvvNBpUSVvmj+TJ0/GaykpoG3btk6jhCQzflY0V6i6eV70S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSQ65AghhBAiSXLXl4/c6qRTZkCU3UTZNZSdEbn1qfz06tWrnRZ9fypTHWURUCYIlZVv2LAhxlOp71WrVjktyu6hUuuFQiXJKTtu3rx5GP+Nb3zDaRs3bnQatUQw48ySxo0bO42yYMw4C4PKvJtxhhhlC0T3Sq1FKItl4cKFGJ8VmqtRmXPKJKL5E2U70POjz4+eCY0rZbv07dsX47OWxDczmzt3rtNorkbxlLVJn//ZZ59hfFmUmicoG65jx45Oo33NzOzVV191GrWgiFp7ULuMu+++22lRu5JJkyY5LWrDQ5lANAa0B5jxeqWsuWisorEtBPqblJ22bt06jN+/f7/TaL+jjCkzs/79+zutTp06TqPsUjPO+qI93IzXEBFluFLmZtbsNLN4bRP6JUcIIYQQSaJDjhBCCCGSRIccIYQQQiSJDjlCCCGESJLcxmMyh5mx6YqMRGRuMzPbsWOH04YOHeq09u3bYzy1YGjXrp3TZsyYgfHLli1z2oMPPojX3n777U4j4yYZAc3YJEmlusvDHBdBpr0OHTo4LTIO792712mzZs1yWlRqn0qNk8H77bffxvji4mKnXXXVVXjt7NmznbZ+/XqnkRHUjM2AeUzCFcVHH33ktMgISGZGGv/x48djPBkRb7jhBqdVrVoV40ePHu20yLRKCQmU0BC1BMha/v+TTz7B+MgMWR7QPURl/el5U/yECRMwnsabDKJRa5AqVao4jVo1mPE+QibZkpISjKc9lBIyovdVeUB7G2lRqwJKXrnvvvucNmjQIIyn1kjUaiFK3qDWRPQ3o79Lewvt4WZxy6PS0BkiL/olRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkubOrKAsn0nfu3Om0N954A+PJcT58+HCnXX311Ri/adMm1EsTOdM//PBDp0XObrqWXOhR+wXK2unZs6fTpk6divFRhkppKLuHspjMOGODslhOnDiB8TSuAwYMyPQ3zcyWL1/uNGqVEGW8UBbItGnT8FpqIdGoUSOnUcaeGWcGUGZENH+yZs3R+EXZbfQ3aayi8aMWGFRm/rLLLsP4AwcOOI1K8lP7EjP+/gsWLMBrR4wY4TRqwfLuu+9iPD0Deq7UOsAszhAsFMpQozkUldTfvn2702rVquW0aA+kljlU6r+oqAjjN2/e7DTKmjXjDB/KxIqycK688kqnUQuFqLVLIVk7UWug+vXrO43eC1G7H9rD/vSnPzlty5YtGP/UU085jbIOf/CDH2A8zR/KuDPjfZzeS1FbiD179jiN9uVov8uTuapfcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJDml8TiPcZVMX2QSXbduHcaTmY5aBRw9ehTj+/Tp4zQyQ7///vsYT2ayOXPm4LVkqJ00aZLTIuMxmfGopHlUfjsyj5aG7ikqc06mQzJeRqY7Guvdu3c7LTKM0b3S+JOR0oxL7V900UV4Lc1BMg127twZ46ldwscff+y0qIUJxWclGj/6fDL+R6ZZMv7OnDnTabfddhvGU+LAI4884rQ8JeUjgyztQfPmzcNrCfqu9L2iZx2ZIbMSmV7pe5HWqlUrjI/aWJTmmWeeQZ3WC5lkaazM2OQbJQoMHDjQabSGqd2OGe8jNF7RWJVFu4Asn0/vxeizqVXCXXfd5bRonK+55hqn0XofOXIkxlPyBO3hZrGhuDRkpjbjvZXGNEooymP+1y85QgghhEgSHXKEEEIIkSQ65AghhBAiSXTIEUIIIUSSnNJ4TCZTqtZrxhUQqQJm//79Mb5r165OGzx4sNOmT5+O8fR3yRwVmbauu+46p02cOBGvnTt3rtOaNWvmtMg0RWY8Mo5GlY2pMmhWqLKxGZu0N2zY4LTITN20aVOnTZgwwWlUWdjMbMmSJU4jkzGZac14/l144YV4LT1/Mj1GpjkyRJMZPKpMG91DaWj9RcZtMuLRWN90000YT+P3i1/8wml//vOfMZ6+F61VqsBqxvMqqgz79ttvO43un+7JjNdP3bp1nRYZRKOq74VCxk+qJB0lf5x//vlOo+/au3dvjKf5Ribjl19+GeOJ++67D3Wqpj1+/Hin7dq1C+P37dvntEL2xTxEa5AqEVNCR1TFmRJSqlSp4rRoXpLxmCrJR+8AMhmvWLECr6VKzvQOpKr1Zry2yaRN+7KZKh4LIYQQQuiQI4QQQog00SFHCCGEEEmiQ44QQgghkkSHHCGEEEIkySmzq/JQuXJlp9WrV89pUal0KoFPrRLWrl2L8YsWLXIaZUz07NkT4yk7hlpFmLGzm5zlUXYUlWqnjJ3IRV9RJcmpVH6U3UbOeHLW05wwM2vcuLHTqK3EjBkzMP6GG25w2qpVq/BamgM0JlFJecoapCyYqKR9IeMXZRVQuxNqFRK1RaGMr9tvv91p77zzDsZT1uK9997rtKglCWXSRdlx1G6C5hplK0XfgdpakFbR0ByKSupfcMEFTnvzzTedFmWN0n63ePFip0UZL+3bt3fa73//e7yWMsQow7RBgwYYT/MtmtsVBT0XmkPRGqB9gTI0o/ukz6IMQ8qaNeP9IlqDlAlG3z/KeKPMY7qvsnjX6ZccIYQQQiSJDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJysx4TAYhKmkdmXEpfuHChU6rX78+xh86dMhpH330kdPGjRuH8c8995zT7r77bryWTG9kPI3Kp9P3OnnypNPKw2AcmSlJp+9JZcLN2KT78MMPZ/58Mi4XFRU5rUePHhi/dOlSp5WUlOC1ZBym8umRwZIMctRWojzGL4KM49SCJWpV8frrr/+PP8eMjctkXCdzqhkb0qdMmYLXrly50mlkxo32itatWzuNDN3l1b4hguYLzavu3btjPJXl79evn9M6deqE8bQ2KSEiao1DySNRa45WrVo5jZJX1qxZk/mz6PlV5Bok6POjdyC9L6kNTnFxMcbTO5DM3O+//z7G03qpXbs2XktzjdpaRG0d6HvR+0bGYyGEEEKIAB1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkpSZ8Zg455xznBYZiciIRlVwo2qRVBmUzIRkbjIz+8Y3vuE0qiBqxsZTquxIxk+zijc0ZoG+P1XLPPvsszGejLvPP/+806IqwGTcJoMeVbE2M2vevLnTtm/fjtdSdWP6rGj8qAprRRkc//u//xv1atWqOY2MpNEzoedKzykyY5PBlIyMw4YNw/jZs2c7LTK5Dx482GlkiKaqumbxPZQmetblBY0X7aGRcZX2Jbq2b9++GE97ABl89+3bh/FkJo0SDcgkSybnKJ6eC+0tFTmGdP+kRVXL6b1A3z8y1NPzo4QW2ivN+N1K42/Ga4hM8tH7tiJN4volRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkZZZdFTnGSxNlPGTN5MjjTKcS9lE8Oc4p4yeCsgAitzh9L3LBZ32mFUmU3ZTVWR9lZ9G90jOl9gHRtQMGDMBrKTMj6+ebZc/OOd3Q/Isy+2rUqOE0WhM0T83M6tSp4zR6zlG2C31WNFfo79Jciz6L7uFMHVOag9EY0LWUMTV9+nSMp/lCWWvRuqC5RVlUZnFriNJEbUhovVZ0Ntz/lOh70hym/Y7aJ5hlzzCm9RPp5557Ll6b9d10JmQS65ccIYQQQiSJDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJvvB5MWsJIYQQQuRBv+QIIYQQIkl0yBFCCCFEkpyyTs4TTzzxufm/rKx1E6K8far9QDUizLJ3S43+K7A86t/84z/+o/ujP/3pT8+48ctz7/T8omdPNR6ijvVn4n/R/uhHP3IP5sknnzzzvqhA7rzzTpzYDz300Od6DPOslTOxrlceHnjgAXcDL7zwwud6/GhMoncgdUyPauqciWN9ww034JfSLzlCCCGESBIdcoQQQgiRJDrkCCGEECJJyqx3VaHQ//Hl+X8/8tRQP6WWLVti/LZt25xGvUTMuEcI/d915Ok5evSo086EHh9lDY1flSpV8Fry2tBzjnoMUY+byE9AXp2sPqvo756JPp88ZP2/+zxrkv6PP+pFVOjzp7X2eR+TvND90hhEY0hrk/qH0bqMPivqs0XkmQN07ZnoEykPondF1v0yek579+51WtS7qnr16k7L42slymu96pccIYQQQiSJDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJdMgRQgghRJKUa3ZVnowpcobv37/faVWrVsX4w4cPO23p0qVOa968OcbXq1fPaVu2bMFrmzRp4jRypm/YsAHj9+zZ47RKlSo5rUGDBhh/OrMIos+mbAcaq+Li4syfRdU2jxw5gtcuX77caZQBYMYZH/R3o8wCmqukRZkFZ+L4UWZEnorhlStXdlr9+vWdtm/fPoxfsWKF05o2bYrX1qhRw2mUHRntFfRdKQslT2bQmQCtQVpDlHVqxplUtC9F2VW0B0bZkJRheuDAAafRWJtlr3B/ujOusn5Ps+xrMJqXderUcRo9v2gN03eNqsbT2s6a3WfG90BzoizGT7/kCCGEECJJdMgRQgghRJLokCOEEEKIJNEhRwghhBBJUmbG46wGKzJXmZlt2rTJaWSEu/baazH+1Vdfddr27dudtmDBAoyn79+wYUO89uDBg06jdhG7du3CeDJjRSZjoqLMdGRajMycdK/Hjh1zWmREJDMoEZnm6Ls2a9YMr92xY4fTJk+e7LRo/GvVquW0atWqOS0yTdK8Lg/yGAHpuZIZv3HjxhhP15LxO+s4m8UtWCh54Omnn3ZaZJCl9Usm56gFRUUakmmuRHsotaEhM2qe9gmTJk1yWlFREV47cOBAp0Xj/e677zot2i8Jmq+UKED7gln57KGUaEDPOjIe075CySu7d+/GeNrXoj2Q6N27t9MoIcCM9zv6/iUlJRhPf5fegTR/zfKNn37JEUIIIUSS6JAjhBBCiCTRIUcIIYQQSaJDjhBCCCGSpMyMx2QEIyMcmf7MzObMmeM0qiz82GOPYTx9Vrdu3Zw2ZcoUjKdqm3fddRdeS2aynTt3Oi0yLl5wwQVOO3TokNPIzBl9fqHQ3yQjHVWhNjObOHGi06iC5YUXXojx9HevuOIKp1122WUY//zzzzstqnhMBkWal4sXL8b4Fi1aOI1Me+3atcN4mquFkrXaa2TGJUMxGQGpqq2Z2fr16502fPhwp9E6M+P5F83/hQsXOm3kyJGZvpOZ2ZIlS5xG1dHbtGmD8ZEZslBovyCjfjR/6PuuWbPGaVHyAJmvjx8/7jQyuJqxITwyqpPxlAy1VHHZjBNV6Ht16dIF46tUqYJ6IdB3JeN4ZFyn+yfjNr3XzHgPpPUamYk3b97sNKpsHEHrjQzm0Wd1797dabVr18b46N1K6JccIYQQQiSJDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJdMgRQgghRJLkzq6KSlJTJg25zSNnP2VSUGbBqlWrMJ4yC6gsf5TdQY5zyrgwM2vdunWma6NnRfry5cudFrUV6Nq1K+pZoIwpMx4rylaYNm0axtN3pTHt06cPxh8+fNhp/fv3d1pUpr1jx45Oe+211/BaKpXeqVOnTNeZmfXt29dpVOY8IhqD0hRaep6yyKJsFyr/Tu0Dtm7divG0rrdt2+a0F154AeOHDBnitKglAGWIbdmyxWlRFiLNdcrui8YpT2YHEf3dmjVrZvqsaF7Q2FKGYJRx9M477zht7dq1TouyzurWres0yho1M2vbtq3TKBMo2q9pvS1atMhpUYZj1HIlC1FbDVpvNAfXrVuH8ZSd1LlzZ6fRXDfjbGTKROzRowfG07yKMlR79erlNHo3Ry0o9uzZ4zR6L1JrILN846dfcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJDmlgy6P8ZHKZJPxNGoLcPnllzuNTHcvv/wyxr/55ptOI+Pqtddei/Fkmnr22WfxWjJJUqn/qCw9mabI5HvkyBGMp1Lh1AKBjFxRWf+PP/7YaSdOnHBaZDqk8acy8dH4v/76604j0140frNnz3YatdowM7vkkkucRuXDI3MbtfuYP3++0yLTHY0fERnXs/7NWrVqOY3MrWZs5KTy85Fpldq6UOn2b33rWxj/zDPPOC0yfhcVFTmNjO/79u3D+GuuucZpdK9RW4jIDJsVelbR36X1Epnc6XmTeTuaV5RQQcbhqLUHJQXQHmJmVlJS4jQyxL799tsYT/OY9iAyuJplTxTIs4fSGqTkmfbt22M8vUOoLQeZic3MnnjiCacNGzbMaZFx/o477nDaggUL8FrS6ZlGJm1aAzTX6L0UxUfolxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkOuQIIYQQIknKrOIxmURJi0xrrVq1chqZQc877zyMJ4MdGae///3vY/z06dOdNnHiRLyWDGZUxZKq6JqxwW/lypVOIzOyGVdsJej+IyMYGRypgumAAQMwnkyPVJkzqvZZp04dp1EVZNLMzO69917UiY8++shpZNyODIIbN250GhkcI+Nsy5Yt/x/fMCZPtVsyidM4mfG4kHGeqqqacXVpqlZKz87MrHnz5k6LTO5kxmzUqFGm68x4Xzl48KDTdu3ahfGFVqKOKh5TosHx48edRtWpzfj7UiV6Msmb8dhMmjTJad/97ncxnir+0r5qxhXezz//fKdRZWQzs02bNjmtQYMGTqPnZ8Z7AEFjHb0DaQ+geDJIm/F+sWzZMqfNnTsX4x988EGnkfE4qiROcyW6liqfT5482Wm0r5tx8gDtN1GSRp6kDP2SI4QQQogk0SFHCCGEEEmiQ44QQgghkkSHHCGEEEIkiQ45QgghhEiSU2ZXkYM5ygyISkWXhrIozMyqVq3qNCrzXb16dYwnFzs5y8eNG4fx1C5g6dKleC1lZ7Rr185pnTt3xngqf3711Vc7bcyYMRhPWWuFQtkG1JaBXPVmZtOmTXPaqFGjnBZlW5Az/4ILLnBalC1xyy23OG3ChAl4bf369Z1GZeIpO8iM2wVQxgRlp5kVNn5RLK1Lys574403MJ7m6t/+9jenReNP83fs2LFOo3ViZtaxY0enffjhh3gtZcJRZlBUEp4yPCm7ilo9mGVvyxERlaSn/ZbWYJQZNGfOHKdRxsro0aMzf/7PfvYzp0XZgZSJFWWCXnbZZZk+P8rOoUwmylqlvbZQoncdZXxRxhtlnUbQXkVthcx4bQ0aNMhp0R76u9/9zmmUcWXGz5raXUSZZPQOpey4iChLmNAvOUIIIYRIEh1yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuRu6xBBZjgqtR6ZAf/0pz85jUr4R2WmqQT8H/7wB6dR6fDo75I5yozviwx2UVsGMpM1bNgw8+cXQlQOm0yyq1evdtr27dsxnu6fzKBkjjQzu+6665zWu3dvpxUXF2P8t7/9baeREc6MjaPUwiMyeNKzor8ZGY8jQ2sWIsMdtTAggyEZbM34/mvUqOG0qK3GU0895bQpU6Y47aabbsJ4WitLlizBa6n8PZkWI9Pq7t27nXbgwAGnUZsCs3heZSUyHlerVs1pZFLdtm0bxvfp08dpZLKm/cvMrGfPnk6jNiD0/MzMbrjhBqdFLSSmTp3qNGpXERmHyfxPRK1ZonVQGkpoybOvUEJD1NqErqX2B/T+MONxpXYtUWsl+v5RGx9Kyunfv7/Tov2eDMl0/9E4RecAQr/kCCGEECJJdMgRQgghRJLokCOEEEKIJNEhRwghhBBJktt4HBlXyVBMxs3IzHfJJZc4jcyQkemqbdu2qJdmwYIFqFPF18j0ROZbMohFxscjR444bdasWU5bv349xpNBLytRxepatWo5japdRhV36flTxVyqYmxm1qtXL6ft37/faVG1UHp+F110EV5Lpje614ULF2aOp+rIUbXPQozHETRXaf5Ec5run4yIXbp0wXiqzNuvXz+nkZndzGz58uVOIyOsmdm7777rNDIeR+tk6NChTqNK7FF150LHL1pDZN4ng+0rr7yC8d26dXMaVeHt1KkTxtN4nThxwmnRHk7fNapiS6Z2qiQ8e/ZsjCcDPL0b6P7N4sr5paH33VlnnYXX0nohk3L0TMhM26FDB6dFxmGal/T8okr89G6I3kFk1KcqyFdddRXGL1u2zGlUHToapzxV4/VLjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJyqytA7nQFy1a5LR27dphPGU8UAuGKOOFsnaqVq2aOf6rX/2q06IS9i+++KLTyC1O2QJmXO5/7NixTqPnZ2Z25ZVXol4IlEVBbn3KwDDjLILbb7/daVEWHH0WZSz9+c9/xnjKZGrZsiVeS6XmKWsoys6hDCVqSxA9qyg7ohAoM4fK70cZXxRPWSRUet2MMykpiyfKTKK1RqX/zcyGDBnitEGDBjktyuSiLBYq3x99V7o2D1E87aFUqv/WW2/FeGr3QBk/3bt3x3jKkKOs0bfffhvjKeMmagFB7QZWrFjhNMr6MzM7dOiQ02hco/laCFGGKu2BlN0VteWgFgr0rpgxYwbGU8sXahcUZSjTfknvBTOzPXv2OO2DDz5w2hVXXIHxtN9QNmO0Vig+Qr/kCCGEECJJdMgRQgghRJLokCOEEEKIJNEhRwghhBBJUmbGYzI9UauAnTt3Yvz06dOdNnLkSKdR+wczNqi1aNECryVee+21zPFkmiPT1pNPPonxxcXFTqPnF5m0CyGP6ZHMZVFbDxo/eiZkDjRjgxuNdWTapfGLINMalaqPvisZ2qnVB7U6KZTo+ZPBlOZvVCadTNbTpk1zWv/+/TGeTKNkJo7M/O3bt3carQkzvlda/x07dsR4Mo6TaTYiGoOs5DEu16tXz2lRaw1KVKA1eM4552D8zJkznUbzJWpXQyZjWhdmbNSnRINoDtA8JON0ZJyNkkKyEMWSUZ+eddSahgzJZDLOY/y+6667nLZhwwaMLykpcRq1lTDj509JJdEeSmuAvn9kks6DfskRQgghRJLokCOEEEKIJNEhRwghhBBJokOOEEIIIZJEhxwhhBBCJElui3nkdqfsht69ezstyo4ZPXq003r06OG0KLPhi1/05zVqAbBkyRKM/81vfuO0SZMmZf6sJk2aOG3cuHEYT/dA2SW1a9fG+EIyA6LnR3qrVq2cFmVmkIufspA2b96M8ZQxs3//fqe98MILGN+6dWun7dq1C68lnbL+KAvHjFsI0HMpj/YNUWbOp59+6jSaP1HG4IIFC5xGc+Kf//mfMX7gwIFOo++6fPlyjKe9olu3bngtZWysXbvWacOHD8d4Wqtz5851GpXpNzM7fvw46lmJMn6oNQa14aBMRjOzjRs3Ou2ee+5xWrR/UAsJ2u+jfbF58+ZOi+6VPotaENDfNON2B/QOitZgNLaloTkc/U16L9C+ELV7of2WMnmj7Drab6n9RdQuhfZQijfj8aNs0uh9Q3OQ1nWUyRe11iD0S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSRl1taBINNVVKaZzHxPP/105ngyopE2YMAAjCfjK5k5zbgtA11LZmIzNojR/UclsSPzdxaiWDKNUauDxo0bY/zixYszfX7U6oBMpmPGjHEaPXszs/PPP99pr7zyCl5LpfKpBUm1atUwnsaPxpqM0+UFzT8qs37llVdiPLVQWb16tdOuvfZajKdWGbNmzXIazSkzbsHwla98Ba8dO3as06j8PJl2zdhQTkbGyDQbme8JMq5S+wIzNsN27949k2ZmNmHCBKdRq4XovshQS2bayAxMSQW0rsw4qYRMptEe+tZbbzmN2iWQmdeM7yvrdZEZl+YQPauorcKyZcsy/c3IzDt58mSnrVq1yml//OMfMZ72EGr1YMZrgOYf7cvR96pZs6bT6L1slq9ljn7JEUIIIUSS6JAjhBBCiCTRIUcIIYQQSaJDjhBCCCGSJLfxOKq4StVVyci0fft2jKcqjmTwpKqWZmZr1qxx2k9+8hOnbdu2DeMfeughp3Xt2hWvvfDCC522fv16p0XGZTI+kkEuetaFEBnuyKS5Z88ep23atAnjyVBKz2TIkCEY37lzZ6c1bdrUadEzIZMvVVA1Y/M6VTyOOHLkiNNorCOTd1bTIxGZDgn6nlHFaTKUk3E5MvzRMx06dKjTqLJw9PnVq1fHazt16uS0s846y2kHDhzAeNqDDh8+7LRoruVZlzReZLA0M6tRo4bTqDo3jYuZ2TXXXOM0qo789ttvYzw97/POO89pM2bMwHgyf0dV2xcuXOi0oqIip0WVibNWvI3mACWlELSuaV8yY+N0VDWdoHlB7zvaK824ijCZyRctWpT5O1EVZDNexy1btnRalHxB7xtKtIneoXnQLzlCCCGESBIdcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJCmz7CoqFT5//nynRa74tWvXOu3kyZNOi9oKfP3rX3calYReunQpxlPWVaNGjfDaJk2aOI2yBaLsGsr6Ibd/Ie0b8kKl5iljhTLezHheUEnzjRs3Yjy1AKDsoIEDB2I8zTVqS2Bm1qdPH6eR259abZhxxkueMuPlAa0rym6Lnj+1uujVq5fToswg0umzovlDmRVR+XvKjqKMn6ilAGUxURZH1BaiUKI9lOYbjSvtlWbchoQ+i7KgzHgO03hFrVUaNGiQ6fPN+F4pmzPag6mtAM3hqDVOIVk70TuMMsHoe1IWkhln4jVr1sxptK7NeKzo/injyowznOldZ8bPgMYvWsP0DOj+lV0lhBBCCBGgQ44QQgghkkSHHCGEEEIkiQ45QgghhEiS3MbjiEOHDjmNjJ+R8ZBKYo8cOdJpVD7ejE26EydOdNq0adMwnspPk5nYzOzxxx93GhmxIoMZGdQoPk8J/0Kh50fficyNZmzy3LJli9MiIyHNCzIek8HYjM2kd9xxB15LhlIqXx6ZdNetW+c0MlKS8b28oM+i8aPnZMatEsikHxmsyWS+b98+p0Vl4qmtQtQCgu6L5g8lQ0RkLfNfntCzpTYc0byie1i2bJnTaFzMeAzJTBy1xiFDbGQ8pnlAJttov6FECWpLUR6tcSIzLH0nglrgmJm1aNHCadSqIWpXQ+NHf/Pll1/G+AkTJjiN2nqY8T6+e/dup0VtOeh9QXuAjMdCCCGEEAE65AghhBAiSXTIEUIIIUSS6JAjhBBCiCTJbTyOzLBkRCIjXGREqlSpktPI4BaZ3sjkumbNGqdFVWypimdkevriF/3ZkMyAUbVNqiR8JkJmZKrgacZmRqqAGVVxLioqchpV24yM5zSvWrVqhddu2rTJaWSyjUyLdA9kEDzdkJEzMq2SXrt2bafNmzcP4+lZkWl0/PjxGN++fXunReuH5kBW47sZz+HyMKjmhb4DPYNorlHyB5nsaa814/FesGCB02hemfF6jczfNIb0/Q8cOIDxVA2f3k0VOa5Zv9PRo0cxnt5NNCbRO3j27NlOo72O3l9mbDIfPXo0Xtu1a1enUSXt6F1Hz4CeX1mgX3KEEEIIkSQ65AghhBAiSXTIEUIIIUSS6JAjhBBCiCTRIUcIIYQQSVKuKSHkrI6ycyiLgNzWkVufyrr37NnTaXv37sX4mjVrZtLM2LH/0UcfOS26V7o2yjo604iyHSi7icaESnebmW3YsMFp9Jyj7CrKuluyZAleS3Nt+/btTovGhL5XlLFQUVDGBWUHRm0ZspbkpyxEM75/Gv8oM4fmT5TdSJlwlF1FmSlmPK5lUT6+PKAWFhF0X5QxE2XnZG0jE60LmgPRfKN2FVHmLUHf9XSvQYLWUJRxRHNw586dTouykOh9RddGrTLo+V166aV4La1tui9615nxvCivTLgzb1YIIYQQQpQBOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogk+UJWs5kQQgghxOcJ/ZIjhBBCiCTRIUcIIYQQSXLKOjm//OUvT+v/ZeXJm6f/diMt6uBL3XqjjuVUJyLPf/uVx38R3n///e5h/exnP/tf83+RNFfy1Lk53fzwhz90X2r06NGndfyobkb0TGlO56nxkqfOFEE1RipynG+55Rb8sKeffrrCxrA89hV6htHn0NyIatfk+btZ4wvltttuc3/0nnvuSW4PjZ4zraFoDZ+Je+hvf/tb/FL6JUcIIYQQSaJDjhBCCCGSRIccIYQQQiSJDjlCCCGESJJybdCZBzIy7du3z2mRGfHcc891Ghmsli9fjvH16tVzWmQ8puZi9PlRIzZqEBkZolMjMiJmNR1G45+nwWKeRoBEirWlaFwOHTrktOjZ0fw9duyY044cOYLxjRo1clrUTJfmQNR0kMi61s5Ec2VeyAwcNU0koj2MoH0tWpdRk8nS5DGv/28na9PLaK3kaZKb1Tge7ZUVubb0S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSQ65AghhBAiSco1pYec1ZGr+sSJE07L6hY34+yojh07/r++4v9l8+bNTosyC7Zs2eK0qlWrOq1FixYYX7t2bacdPXrUaVF2SVRavyIo1BUfZUdVqlTJafScmjdvjvGUMTBnzhy8luYacfDgQdQ/L9lVeb7n/v37nUbZUZRxZcbzl+ZpNHfbtWvnNFpTZmbz5893GmU30t80M6tevbrTKLts165dGH+6s66ijJesGYbRfVHmG41B27ZtMb5+/fpOi54VzReaW9EeSHOb9hZq13Oq73U6oYwzWi9RdhQ9f5oTDRo0wPhatWo5bcOGDXgtZejR+NEeYsb3dfbZZ+O1haJfcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJClX4zGZ+aKS4mQcrFOnjtPIdGhm1qVLF6c1adLEaddddx3Gz54922nbt2/Ha8m4uHPnTqeREcyMDc1kBoyeVZ5S64VA5e8jcxgZzMhcGBmPSW/atKnT6Nmbsck8KglPY7VgwQKnRUZOui96LtE4VZTpkcx9e/bswWuppDutv8i0XVRU5DQy/i5evBjjaa63adMGr929e3cmLVo/NH41a9bEa4k8hu48yRdEnnYl0doqTZSQQS1v1qxZ47SWLVti/MUXX+y0w4cP47VkdKe9feXKlRhft25dp9F6i9qIRPtIWUPjH7ULovlK4x+1VqG1Sa2Romfar18/p0XPqWvXrk6j8YuMx/RcKNEoagOUpw2SfskRQgghRJLokCOEEEKIJNEhRwghhBBJokOOEEIIIZIkt/E4Ms2RTtUmyfRnxsZjMh2RGdKMzVw//elPnTZq1CiMJ+PhE088gdfS323UqJHTSkpKMH7ChAlOo/uPqk1WlPGYjHCR6Y2qQJM5sEaNGhg/derUTJ8Vff706dOdFpneevXq5bRmzZo5LTJNkpmPrqUKpmbZDaJEVDGYjM9kBo6g6tKVK1d22oABAzCe1jVVVo2MjGQQjcyFb731ltMooSBaJzQvN27c6LRo/KI5TOQxGZMZk4ynUSVoGoMDBw44bciQIRhPa5j24FdffRXjd+zY4TRKCDEz69atm9PIzBo9v6wVqiOjfB7jamki4znNN9oXoorTtDZat27tNJqrZmYffPCB0/r375/pe5rxHhxVt6Y5SNXoo3ulvZkSdaLxi9YmoV9yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogk0SFHCCGEEEmS22IeObMpY6RatWpOo3LeZpxdsW3btsyfn7Ws+5NPPonx5IKP2gKQvn79eqdt3boV4ymzgDJhqNWAmdnatWtRLw1lIERlssmtTpk8UcZXw4YNnda9e3enRd/92muvdRpl0USl/injiTQzzkRq3Lix0yi7yIwz6SgLIMoAKKStQ1QSvlKlSk6j9UNZVGbZMyGjMvkzZsxwWo8ePfBagv5u1NLgN7/5jdMo6/LRRx/F+AsuuMBpAwcOdBq1NDCLnwGRZw0ePHjQabReovlD7RpoXsyZMwfj6e+2atXKaZSFZcbZdL1798ZriXXr1jktaq1Tq1Ytp9G7he7fLB6DQqCsK9qDonfgoUOHnEZzIho/ytClPTjKcKT9irJOzczGjRvnNMquilob0VyjNkxRJtnevXtRJ/RLjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJLmNx2TmNWMzLhk88xjBmjZt6rSoTPSyZcuc1qJFC6cNGzYM42fPnu20yy67DK8l09N3v/tdp11xxRUYH5VlLw0ZyczM2rdvnymejMORmZPaJZDpLWpJQEbAxYsXOy0yY9Mz6dy5c6a/acYGx6gFyIoVK5xGhvbIdEfG0759+zpt9erVGE/PNStkEDbj9UPG4eie6P7HjBnjtKuuugrjyfRKRtJVq1Zh/E9+8hOnbd68Ga8lgycZsr/+9a9jPM01SpLYs2cPxketaQhab5EhncaQvmtkmqUWDmTcHTFiBMbT2iaD6I9+9COMv//++50WtSF5/fXXndayZUun0boy43lE9xoZ7evVq4d6aWiuRfdEOhlvoz30ww8/dBrtYdE9UfINrcHIOL58+XKnRfsN7Rfjx493WnFxMcZTu4k8bYSiMSD0S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSS5jceRcZUMajVr1nQamavM2IxFBr9XX30V48lQTJUlqdqwGVeBnDhxIl5Lxr8f/OAHTqPKuGZmEyZMcBpV143is1Y8zkPWaqtUAdWMDW5169Z1WlStlQzJZDxdtGgRxtN3HTBgAF5LZk6qNjpv3jyMp+rUZFCMTHOFEFXhJuM3VaA9duwYxtO43HjjjU6L1g8Z/zt16uS0qNorGYepCrUZG2xpXxkyZAjGf/nLftubPn260yLjcZ6K1YVUtzbj5IM8pstrrrnGaR9//DFeSxXGJ02a5LSSkhKMpwrb0RqkqtNUdZ6q4JqxUZz2EEp+OZWeBVrrZmycpSQVqkJsxvdKSQ5R8g3twfQOu/XWWzGe9pBoD2zdurXT6B0eJc/QM6SEkDxzPUK/5AghhBAiSXTIEUIIIUSS6JAjhBBCiCTRIUcIIYQQSaJDjhBCCCGSJHd2FWUmmLFjn0pvR27t+fPnO40c9JQtYMZl5e+55x6nde3aFeOp1Ppf//pXvPa8885zWq9evZz28ssvY/zUqVOdRm0Jrr76aowvxHEeZXtQ1g1lnFFmi1n27CL6m2ZckpyyEOg5m5k99NBDTovK5w8dOtRpf/jDH5zWpUsXjKesN3ouUQuUQogytig7ibITo7YqlO2yYcMGp0WZOdQuYt++fU6LsvMoa47Wv5lZ8+bNnUaZfAsXLsR42sMoa5P2FLM4YyQrUVsGgjLkaK2Y8dqidjXr16/H+I0bNzqNMmYeeOABjKf5Qlk4Zpy5Ru0GokwiykRq06aN06jVg1mcJVwItAazthAx43Gl+4/2QMowpudco0YNjKfMyagNDL0vqFUDZcyZ8byiTDJlVwkhhBBCBOiQI4QQQogk0SFHCCGEEEmiQ44QQgghkuSUxmMyqeYxbH3wwQdOmzVrFl7bokULp5Hprk6dOhhPrRLISBW1BahXr57TyAxsZtawYUOnLVmyxGlkpDIzu/zyy5121llnOY2MfOUFmeHIpBo9fzK5UluPqKw/tSsg43FUjp1Mb1RS3YxL+Ddt2tRpUfl2uldaK3lM+kT0+QQZAcn0SPPcjM2wVKafzJVmZlWqVHEarf/x48djfIcOHZx2880347XUgmPOnDlOO//88zGeEgJ27tzptKiFRaFE5n9q7ULmZzJ0m5lt2rTJabQGaKzMeF737NnTaf369cN4MvlGrXFovyNDeZSoQvsVzeGojUlkvi0NjVU0frQ31q5d22nRuqY2KFdccYXTevTogfH169d3GrU7idYw6VELIZpXtIfTPZlxCwoyI+dpQxOhX3KEEEIIkSQ65AghhBAiSXTIEUIIIUSS6JAjhBBCiCQ5pfGYDFJRtU4yzZFxmAyeZmzmpaqWUcVWMi6TuSyq2EuVHcngaMbma7r/6FnNnTvXaXRfffv2xXgyeBUKmVSpum70/OlaMoOSwdSMDY70nCLTHM2VWrVq4bUzZ850GhmXI5M0GappXkcVd7OOXx5zHVUWJY2MkGZm//7v/+40WhORcZkSCqgKcQRV946eH1UcpvVHRtroe9GajsY/Mr9nJY+hnParaF5TdWGqIvzMM89g/MCBA51GJteokndxcbHToorDZFxt2bKl06i6uBnvVwcPHnRaZLIm43NWon2d/iYZpKMqwrSHDRo0yGnRvF6wYIHTJk+enDmenmn0vqS/QYkWUcVjMknTvrhmzRqMj5I6CP2SI4QQQogk0SFHCCGEEEmiQ44QQgghkkSHHCGEEEIkiQ45QgghhEiS3G0dTp48iddSJlPXrl2dFrmlL7nkEqdRdg6Vmjfj70rtEygLy8zskUcecdqJEyfwWnoGvXr1clrUlmH37t1Oa9++vdMoY8Qszm4oBMr4oPYDe/bswXh6VnnK4pOznzIjopYI77zzjtOopLmZ2fXXX++08847z2lRJheNC2lFRUUYv379etSzEGVm7dixw2k0JtH6oSyQsWPHOi1av5999pnTqNXJG2+8gfE//vGPnbZq1Sq8tkuXLk6jFg6/+tWvML5x48ZOo/1r48aNGJ+1JYAZr6toDGlfoYyZ6tWrY/wtt9ziNMpiijJcL7roIqfRXhWV2qfPonllZtaqVSunjRs3zmnU2sWMM7FovkdrLcq6KgQaP8pGjTLGaA3RfvvSSy9hPL3DKIspys5r166d0yjr2YyzaandCGW8mfEzoD00T4ZphH7JEUIIIUSS6JAjhBBCiCTRIUcIIYQQSaJDjhBCCCGSJHtt5P9DZDymMssdO3Z0GhmMzczmz5/vtDFjxjiNysebmV111VWZ/mZUqp2Mv5FBi4x3b775ptNGjBiB8YMHD3YaGayi0tVkMi2Uc845x2lUprxz584YT4ZUMqfRnDAzmz59utOorcazzz6L8cOHD3fav/3bv+G169atcxqVWo/ulczPVD4/MohnbetAptXIiEetBuhZv/XWWxhP91qnTh2nkTnSjE26mzZtchqZfs3YYBq1T9i8ebPTFi1alPmzyIzar18/p0Um+0KJWgrQ827evLnTooQI+r5kJo1aLdDeTm0FnnjiCYzfunWr077yla/gtbTe6P6jtgK0B9N+Ge2htDcVCs1XaiEStfWYMGGC01555RWnRaZparlCbVyi8afkD2qhYsZzkMzgUWsW+g7UWiU6b1BrnQj9kiOEEEKIJNEhRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIklNmV5ELnMpUR9c2adLEaeTANuMsAsoOiTIejhw54rTDhw87jdzmZnxflHFkZlZSUuI0cvuTs96MS1pTxg5lp5jF7vxCIGc9lQSnVh1mnDX3xS/6M3SezAC6NnLVU3ZOVJL8wgsvdBplW0QlySmLYtmyZU6j7LA8UCZV1NaC1gplElL7AzPOWKL1E7XKuOuuu5xG6ydaU3PnznXaV7/6VbyW2rWQFrVFoXGlTMqoBUzW7DgzHkNqf2DGmSyU9RZ9/tq1a51G7U6i/YPakFB2UvT59P2pLYUZZ1ft2rXLacuXL8d4upb+ZjTf8oxhaaIMQ9ovaQ+K2oXQ36WMoyjjrE2bNk57//33nRa1dqF3Y/RdqS0Hvduj1ix0D5T1SvdkFmfNEfolRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIktxtHchMasYGKTIDU/uD6Foyl/Xv3x/jyeBFJc3pb5qxESq6tmfPnk7r0KGD06ithBk/QzLCRQZFetZZiUyHVGq+uLjYadWqVcP46tWrO41Kf8+YMQPjyVBLxvVvf/vbGP/66687LSoJTiZlMl6vWLEC46ldA5mMI4NiIeRpq0Im/bZt22I8jTW1OnjxxRcxngyi1BIgMpI+88wzTvu7v/s7vJaSBEaPHu20GjVqYDyZGcl0efToUYyPzKwEGY+jdh9kiKZWB1FbCHq2VFaf9loznu/f/OY3nXbNNddg/Guvvea0yCBKhtjVq1c7jdZlnmuj+EKI3oE0fjQmedpq0FhRuyMz3oPpvRKti9atWzutW7dueG3Tpk2d9t5772X6m2b8DuvUqZPTNmzYgPF59lb9kiOEEEKIJNEhRwghhBBJokOOEEIIIZJEhxwhhBBCJElu43Fk+Nm5c6fTGjRo4LTIiETGQzKjRmZEMg6TGTGqIrxlyxankXHZjE1TZNqLjIu9e/fO9PmRwbiQisdkhDTjZ00GuSh+5cqVTqNnElWsJjMlGezuvvtujCczMVWWjr4DzZ/IoEnVralicmRQLITI9Lp7926nURXxxYsXYzxVy+3bt6/TqDKyGZuUaf6MGjUK46naaWSwnTdvntNorVxwwQUYT3933759Touq4kZrgKD9kszEZlx1mapW01wzM5szZ47Thg0bluk7mXE164cffthpkRmV5vull16K1z766KNOI/N7VHWa5hYlOpAZ16x8qsbTWFHV7ahqOc1hMi5Hxu/GjRs7jfYwmutmbPKN1iDdF+1BkXGYEnXIeB0Z1/PsrfolRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkubOroswCcoZTxk3UqmD48OFOo1L948aNw3jKTqIsmCi7i+7rkksuwWu3bdvmNHL7t2/fHuMpC2Dr1q1Oi7Ig8mR3ZOXcc891GpUppywcM7M1a9Y4rW7duk7r0aMHxlOpcWoBsX79+syf37VrV7yWHPuUBVCzZk2Mp3EhrTyyqyIoE6hevXqZ42n+0t/83ve+h/GUWbJkyRKn0Zo04/2D2jeYcQsGyuSk7DIzzm6huR5ldhSamRPFUyYQfa8oa5OyZqg1TatWrTCe2k1UqVLFadQWw4y/P61LM86Spawxyroz47UZtZypKGi+kBatgZkzZzqNWh1E65oynKn9QpThSt+L2meY8RqkrMEdO3Zk/qys7Y7M8r0D9UuOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkuY3HeSAz49y5c/FaMp0tWrTIaZMnT8Z4Kj89YMAAp1WtWhXjybgYlcAngx2ZjKnMtRmbjMmMHJmrCjE+RrFUpptYunQp6lSSm0p3R8ZvKkl/5ZVXOo3MrGZc6r+oqAivpbGmdgnR+OUZq4qCTJekkcHcjI2ctKai9UOl/qmlQFTmnUzqUVsN+g60pqIWGJGZsTTRmOYZa7o2WoNk/KUkh+PHj2M8rTeKf/PNNzH+0KFDTnvooYecRgklZmazZ892WjRfLr74YqctW7bMabTWzHhu07OuyOSNrIkGkaGdzLhkniczuhm3daAxpSQBM94DIpMyGcppXrds2RLj6VlRfFmMk37JEUIIIUSS6JAjhBBCiCTRIUcIIYQQSaJDjhBCCCGSpMyMx2QaIuNf/fr1MZ6Mg8XFxU6LjEhknCWDV2RmpL8bGfwOHz7sNKo2SdVCIyrKuBp9zqZNm5xGpj2qdGnGZjga0+eeew7jydBM1TqpCrIZm4xXrFiB186fP99pZGSMKsvSXI/MhGVNNH70/GmeRmZcqjhN909Vdc04yYBMp3mqCEcmZdpDqIovjXMEzfWKNpNv3rw503egis1mfA80r5s1a5b58999912nkUHYzKxWrVpOi6pWk6GVDOGU5GHGpviKIpoXNC5k0CWDuRlXN6ZK/pEZm6pb0/Pv3r07xo8fP95plFBilj3RIRp/2luo6nlZoF9yhBBCCJEkOuQIIYQQIkl0yBFCCCFEkuiQI4QQQogk0SFHCCGEEElSrtlVZ599ttOi7I46depk+ptRmW66ltz6kTOenN1R+XVyjNPfzZOdUUirhrKAnitpUbYD6XmeKbUFmDlzptOiVg1UEp1KmptxWXMaqyi7irKGsrYKqEho/Og5RTo9k6h0Pd0/Pedo/dLfjdYPZZGc7rYaecjTriXPvkDPkDTal83MOnbs6DTK0KNWA2b5Mgz37t2bKT5aV7S35NnvKwp6/lELHcrGpUyqKLMs2u9KQ+vHjMc1en40hygTK8okq0j0S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSRfON2GVyGEEEKI8kC/5AghhBAiSU6Z8/fcc8+d1p95Cv2VidJVoxRYujZPM8HTzY033uhy/e6///4z74sWSJTSSKUJovRFGj/6uxU5zr/85S/dF/jtb3/7uRm/rM8qGj9Ki40a9mVtplmR43fPPffgjT388MOfmzEkPk9lMArle9/7nrvZ3/3ud5/vmwKi9xrtoVEz0KgURGkqck78wz/8A05W/ZIjhBBCiCTRIUcIIYQQSaJDjhBCCCGSRIccIYQQQiRJmfWuKg/IeBgZochMRSbjVatWYTz17Th+/DheS72LyDj5ySefYDxdGxmiidPdj4UoD+MnjX/Ut4V6nx08eBCvJT1P76RCn//nxaCZp5dS1vV35MgRjKdnGl1L65L6yUVzhfrunIlrKi90D7QH5ZnXZN6P+kkV2r+N5svnZa1UJHnmKu2hUU++POuCet2RcTl6r2W9h7IYf/2SI4QQQogk0SFHCCGEEEmiQ44QQgghkkSHHCGEEEIkiQ45QgghhEiScs2uImd0VKqdXPzk1t6xYwfG165d22l79uxx2vr16zGe/i65zc04k4cyCygLy8ysfv36Tjv33HOdFrngo2dYEUSu+KyZOFHGC401jWnTpk0x/uTJk06jjDkzs8WLFzvt8OHDTouc/XQPNH/zZCKVB3ky3uha+p7R+NNaoQwMWjtm/Py2b9+O11JJ+QEDBjht165dGE/QfUWl68/UTCzKPKV5HbU7ofuicd23bx/G09gWFRXhtRs3bnQaZdPVrVsX4ytXruw02oPPxOys6DtlzUbctm0bxteqVctprVq1clqPHj0wnsb1qaeewmvr1avnNBqTKBu6Zs2ambQoYy/PO1C/5AghhBAiSXTIEUIIIUSS6JAjhBBCiCTRIUcIIYQQSZLbAVmocXHLli0Yf+jQIacNGzbMaWSuMjNbu3at09asWeM0Mv2amT366KNOKy4uxmvJDEUGr+uvvx7jycxHz6pKlSoYT2bCioIMvmY8/tWrV88c361bN6f179/faZs3b8b4DRs2OC0y2FGp+2nTpjmNzJFmbBAkg2RkXI/M14VAZlLSatSogfE0fmQajEy3HTt2dBq1z6B1bsbG86uuugqvLSkpcRqZ9Hfu3InxBw4ccFrLli2dFiUORIbk8oAMltH6p+QF2lfmzJmD8TRfaA1HxnkyHr/22mt4bZ8+fZxG+3XUFoD2cdovI+NrIeRJviCqVauWOX7r1q2ZtIiVK1dm/vzWrVs7rUuXLnhts2bNnEbjF60VGpe9e/c6LUpUyGMo1y85QgghhEgSHXKEEEIIkSQ65AghhBAiSXTIEUIIIUSSlFnpVTLjkjkpMnOScZeMcGQaNGOTYR4zIxmayYhlxvfQs2dPp0XG4ayVLXfv3o3x0TPIQp5qrfT8I9Mj3ROZzoYPH47xLVq0cFqDBg0yfY6Z2a9//WunTZo0Ca9t2LCh044fP57pO5mZzZw502n0rMiMa1ZYxero/qlaKd1TNKfIyNmmTRunRVW4qQIqfX5UrZVM4lGSAX0WmW4j0yk9A7o2Mo6Tcb0soLElg2Vk/KX9hvblESNGYDztl5dffrnTqJK8Ga+XJUuW4LVU3Zb228g8TvOd1mC0XqK9uRCyVvin+WvGRv2PP/7YadEanjp1aqbv9Mc//hHjR44c6TTaK83Mhg4d6jTaG2hOmfG7gZ5LVF07SmAg9EuOEEIIIZJEhxwhhBBCJIkOOUIIIYRIEh1yhBBCCJEkOuQIIYQQIklOmV2Vp3QyXUtZSJUrV8Z4KqtOpfp37dqF8ZTxQFkElG1gZvb973/faVEWw/z5853WuHFjp61atQrjyXHfqFGjTNeZsQs/K1FLgWPHjjmNMqnI7W/G33X9+vVOizIDrr32WqfRmL711lsYX7t2baft2LEDr504caLTBg0a5LTo+VMmID2/qIVFlHFQGspAiNoyUGYCxX/44YcYTy0MKGMpapUxefJkp82dO9dpUWYgZbtELTyorD3tP506dcJ4yszIkxkS7SFZifZVaqFA7UJorkc6zQHaa83MVqxY4TTKron2H3qG0XhfeOGFTmvfvr3Tfv7zn2M8QXM4ygbN827LCu0XlE24evVqjO/evbvTFi9e7LSorcMvfvELp1ELFBpnM87wHTduHF7btm1b1EtD70Uzzryk9UbvRbN8rY30S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSSnNB5HJbEJMgI1bdrUaZHxmMycVNI5MrLdfvvtTvvLX/7itAkTJmA8mYmjsvxUvpwMtVQq38xs//79TiPTVx6TaVaiUvdkxKtUqVLmz96+fbvT1qxZ4zQy6JqZrV271mlkTozKxFMLh6gFAc1VMmMOHjwY42n8qAVBoQZVasERzX8qaU/zNJrTNNdordKcMGMz5Isvvui0xx9/HOPnzJnjtC5duuC1ZFCk+KVLl2I83QONVXSvUUJCVqJ42m+3bNniNDLYmvHcIKP4smXLMJ72gJUrVzqN9nUzTrSI1sCbb77pNNovonh6X5DRfNasWRifp71NVijRgPb1aF6OGTPGadQuiDQzs2HDhjmtd+/eTouMz3nWKxmCn3/+eadR8oIZm7RpD47aN+Q5m+iXHCGEEEIkiQ45QgghhEgSHXKEEEIIkSQ65AghhBAiScqs4nG7du2cVqdOHaetW7cO48kQSxVAb7jhBownk2+1atWcFt3Tnj17nBaZXKkKKZnuGjRogPFkqKbKmN26dcP4s88+G/UsUAVUM64uTNWRqTKwGRsUyaAbmRaLi4ud9k//9E9OI8OiGZsumzRpgtdSdWX6/OhZkaGXzMxRZdjIUF4aMkdSpVAzrgROVYR79eqF8YXMqSie5nmUeEB7BZk2zdi0SPcamUvJDEnx0TOJqn4TtN/QvZrxHkrzqlmzZhg/Y8YMp9G+Fpk2ydBKCRVRJWpaL2TIN+OkADKedujQAeOpOvKCBQucVhZjmBV6rnRP0XuB6Nq1q9MoycDMbPny5U7r37+/06JK4FSd+LXXXsNr6X1LFbfpHW5mtmnTJqfRmEQm/agaPaFfcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJNEhRwghhBBJUmbZVTVr1nQaZUfMnj0b4ym7hUp3l5SUYDyVeqcsqCuvvBLjKROLMobMuF0ElbWnz490yi5r3bo1xmcdF8ouiTJOKBMoyu4iKLuMMoGGDx+O8dRCYezYsU775je/ifF79+51Go2JmVnnzp2dRvcalfWnZ0UZJ/RMzPKVJC8NZbyZcXYQlXRv06YNxj/99NNOo2ybuXPnYvz06dOdRnPt2WefxfgBAwY4Lcoko+yotm3bOi1qf7Bjxw6nURZQ9PmUcZQHypgy4+dFnxXNK9pDVqxY4TSa/2a839G+Gu0L69evdxpljJnxs6XvTxlTZpxdQ5lkUYZkIUT7b9bPonVpZta8eXOnUbuS6B1KGbozZ8502vnnn4/x9A6nMTXL3sKD5o8ZZ2dRxl30TPOcTfRLjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJKc0HueBTEMbNmxwWmTmJeNmUVGR06Iy3aR/9atfddrf/vY3jCeT9LBhw/Da66+/3mnTpk1zWmSaoudCZsSofHeektZZY6nVABl3IyMglS+n8uGRYYyMq1T+nAymZmZ9+vRxGrV6MGOT8pNPPum0r33taxhPpcapVD+VOTeL2xVkgcx9kZ7VSGrGz5raMnzwwQcYT2bKkSNHOu3HP/4xxtPfjebqAw884DS6r8g4PnToUKeRaTMy+Ebm/aycPHkS9fnz5zvtt7/9rdOiVgm0NiZMmOC0hx9+GONpDo8aNcppF110Eca/8847Tnvvvffw2ltuucVpZHzt27cvxr///vtOoz2Y2j+YFWb+j6CWJbTWyXRrxm0N6B0wa9YsjKe2DjR+UWsk2hcj8z6976ndSPScaQ0sXbrUaVELnDxrUL/kCCGEECJJdMgRQgghRJLokCOEEEKIJNEhRwghhBBJckrjMZl7IuPooUOHnHbs2DGnXXzxxRhPZlyqlknmLDM2Tv7whz90GpmZzcyGDBnitKgy6MKFCzN9r8jkSTRq1Mhpkcm0EKKKuVTxmczQkfGYqjPTc6IKnGZs2qPK0FF848aNnRYZfMlg16RJE6dFzz+ryT6qjJtnXpQmMtxVr14907WTJ0/GeDIJk5n/kUcewXiqInzjjTc6jQynZlwBl4ywkU7zety4cRh/6aWXZvr8iDymR7o2MlTTfKV9afv27RhPSRVk3Lz99tsxnp4X7avz5s3DeHqGt956K147depUp11yySVOi4zutN+SoZcqgZvlG+/SRONPCQn0/Mjkbmb2xhtvOK1hw4ZOi6q+U6JD//79nUZmdDNew1//+tfxWjKZU3Vkus6ME0VorKL3fR70S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSQ65AghhBAiSXK3dYhaFZDeokULp61duxbjqQUAlem+4IILMH7GjBlOI2c2ZdGYcQsDcoubmW3cuNFpVJK8Xr16GE/ZFW3atMl0nVn2kuSUCRfFkk5ar169MJ6eK31+FE/j/9e//tVplMVkZnb++ec77aGHHsJrKTuCsu6i7B6a65RxRRlzZmYHDx5EPQvR+qPy65RZ07RpU4ynTDa6/1/96lcYT5l0ixcvdhplwZlxZhFlppjxWovKzxNTpkxx2tVXX+00ypYxi+dgVqIMVcouueqqq5zWvHlzjH/11VedtmbNGqdFa3DOnDlOW7dundOopYKZWb9+/ZxG2T1mZqNHj3Ya7eFRWX8aA8qGjdZwIUTjR++bTz75JHM8vQOoVcLEiRMxvmfPnk7bv3+/06J9iTJXaQ2b8buRWlBE47do0SKn0fyJ3oF5Mo/1S44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSS5jceREYgMTm3btnVajx49MJ7K0o8dO9Zp1CrCjMt0P/jgg06jVgVm2dsamJnt2rXLaWTSpTLZZmwwIzNlVL49Mq4VApXw37dvn9MiIxkZYmlMV6xYgfH0TKdPn+60qFXCsmXLnNatWze8lgzxZEamkupmbNI9cOCA06Ly7XnaApQmMh6fPHnSaWTOHDx4MMbT+qEWHlQ638zs2muvdRqtiWhOk0GW5qQZmx6pBUzLli0xfujQoU6jkvibNm3C+ELXXzT+9LzIzBm1NiFDMO2XN998M8bTGO7Zs8dpf/zjHzGeWn488MADeC3pZEatVKkSxtPcptYetC7MYlN5aWisor9JewC9F6mFihknX0yaNMlptP+Y8f1TGxd6/5ixSfzKK6/Ea//85z87je4/auNC651a+1BCh1m+1jj6JUcIIYQQSaJDjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJLmzq6JyylS+mlo4RCXFZ8+e7TTK7qDy8WbZnenkADfj7IqdO3fiteT4vvDCC51G2UFmZqtWrXIale+OsjDoWWclys6hrKnbbrvNaVTm3YyzMOiZRm096PM7duyYOX7EiBFOW7lyJV5Lc4C+K7n9zdjZT9lJlFlhxuXfCcrioSw8M84EpPYRlG1hZjZq1Cin0TyPnimVz6c1GbVqoIyp6DnRHkJZSFH7BcpCoVYtlPEXfVYEjSG1b4iuLSkpcdrSpUsxnvYFyhCL2p3QGqQspA8//BDju3Tp4rTrrrsOr6V9iMabWjWYcbsLmu9RW4KsbQHoe0atSehZ0TskahdE64X2oKg1y/jx451G67q4uBjj582b57QoQ5Ted9Ryae/evRhPz5/mb5QFF2VeEvolRwghhBBJokOOEEIIIZJEhxwhhBBCJIkOOUIIIYRIktzGYyo9bsYmWTLNffDBBxhPxk9qIRG1lSDj61tvveW0yIw4bNgwpw0fPhyvJfMmGakigxk9QyrVHZWujsagEMi4WlRU5LTI9Pbkk086jYyU1D7DjM2Ml156qdPuvPNOjF+9erXT3nvvPbz2/PPPdxoZvyOTNo01mSYjg3jW8aPnF80JMtNSW465c+diPI0/mR5btWqF8UeOHHEatXB4++23M38+tRkwY5MzmcnzGIdp/4jauuRpy0HXRoZq+l7UxoQM+WY8NtEeRDz//PNOO++885y2detWjCdD9ZtvvonX0n5LSQWR8ZX2ZnoulORhFr9HSkN7QNRWoUmTJk6jeTVnzhyMp0SbDh06OC1qC0F7K+3h9F4043YVtWrVwmuvvvrqTJ8fGYdpbVEblmj8Dx06hDqhX3KEEEIIkSQ65AghhBAiSXTIEUIIIUSS6JAjhBBCiCTJbTyOTHdkkiQjFlVlNOPqsD169HBaZJw8duyY0wYOHOi06tWrYzyZJH/3u9/htWRmy2omNjNr3ry508g4SkYws3zVHksTjR+ZIefPn5/pOjM2qVLF3Kha7LJly5xGVYxfeukljKdKupdffjleS7z66qtOq1SpEl7brl07p1G1VVoTZtmNx3QdGVHN2AxNn0+VYs3M2rdv77SxY8c6jeapGc8LqoBLVVXNuIpso0aN8FraK6iyarT+6LmQFo3/iRMnUM9KnorlZPykfdHMrGvXrk4jM+eMGTMwntYL3Wu0/1BSwuOPP47XUgIKVeKNqs7Te4DWS/Sss5rHaV0tX74cryUzc7169Zx22WWXYTyZaZ999lmnRZXU+/bt67T333/faWTcNzPr2bOn0yLjOBn96R0QGZcp0YjWG10XfX6EfskRQgghRJLokCOEEEKIJNEhRwghhBBJokOOEEIIIZJEhxwhhBBCJEnu7KooY4TKX5OLO8oMoOyKNWvWOK1Tp04YP2TIEKetW7fOaZSFY8bZMVEm0Lnnnuu0TZs2OY2yS8w4w4uyVgrN4sgDjR9lEUTltOm75mk/cfHFFzttypQpTqNxMmMXP7n9o79RtWpVp0UtFAhqa5AnEzEr0d+k7ELKbqM1YcaZDfXr13dalN1F2Q6UxRNl59GaoO9vxpk5bdq0cRpl65iZHT9+3Gl0X9H6Ly9obOm5RFlfGzdudBq1WqDsTjOzzp07O23x4sVOi/ZQKuF//fXX47V0D5S1GGXT0nqjbNDyIFq/lA1L7WaiDMXWrVs7jebghAkTMJ7Gun///k6jdi9mZn/5y18y/U0z3ltpXmzZsgXjaQ+OvheR592iX3KEEEIIkSQ65AghhBAiSXTIEUIIIUSS6JAjhBBCiCTJbTyOyGo8HjlyJMaTGY5MV2SuMzOrVq2a08gMGZnm9uzZ47SoBcTatWudRiXkN2zYgPFUlptMZ1lLj5cFVJKczKzU/sLMrF+/fk6rWbOm08gwaMYGR2o1QN/JjE1rkTmNSrXTZ0XGV7oHMl7T5xRKHuMxrZ/169djfElJidPICBqZccmgSAbLhg0bYjw962nTpuG1ZPwng2VksqYkgcOHDzstMphW5LokIjMnjdeOHTuc1qdPH4yvUaOG08iQH90/jW1Ulp/2azLuRokmZBSnpIjIOFsIecaf9qDITP3ee+85jeb1HXfcgfFkcl64cKHTKKHHjN9rN910E15L40fzctu2bRhP7TbIjJ4n+SNCv+QIIYQQIkl0yBFCCCFEkuiQI4QQQogk0SFHCCGEEEmS23gcma6o2iVVNyVzmZnZrl27Mn1+06ZNUSeDXKtWrZwWGSebNGmS+dq2bds6jZ4LGfnMspv5CqmMmxcygpGZnKrgmrHJmuYEGbTN+JmQGZQM0mZs8t27dy9eS39j8+bNTqtXrx7G0xyme63I8SOTPxnnyYxvxsZtMilHZmpaP/RZkWmWjKQdOnTAa8mMOXPmTKdFFVRprMggWtEG46zf4eyzz8Z42q/IuBnta7TeKVFj1apVGL9161anRWNI90CG8ChRhN4XNK4VCT3rZs2aOS3awxo1auQ02mumTp2K8bTf0ZyKPr9jx45Oi+YarWNKqImqO9P3ovEri6rx+iVHCCGEEEmiQ44QQgghkkSHHCGEEEIkiQ45QgghhEgSHXKEEEIIkSTlaken7Cpqn2CWPbsqglzgVCr++PHjGF+5cuWCPp+c9VSm2owzmUg73eXjye0eueUpC4A0ymKKPotK0hcXF2M8lXSnZ2qWfa5QtocZz5XyaOFQKDRWUbZKpJcmysyh8aOMqygDhp5/dC2tYdKiuXq611UeKIsk2kOjbMLSLFmyJPNn0b5GWUARURsR+izaG2rVqoXxtAajzN2yJk9mT/QOIOieKBMqeldR5iqtgahVAq1BypiLoAzZiKyZhGWRoapfcoQQQgiRJDrkCCGEECJJdMgRQgghRJLokCOEEEKIJPlCRZaeF0IIIYSoKPRLjhBCCCGSRIccIYQQQiSJDjlCCCGESBIdcoQQQgiRJDrkCCGEECJJdMgRQgghRJL8f/4xlJbEW4XXAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "utils.displayData(Theta1[:, 1:])" ] @@ -918,7 +1223,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -932,7 +1237,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.6" + "version": "3.8.8" + }, + "vscode": { + "interpreter": { + "hash": "f5ec4f5abb42c8def48fd8f20dbba607f2f56bc05cd625983e88adc591328b29" + } } }, "nbformat": 4, diff --git a/Exercise5/exercise5.ipynb b/Exercise5/exercise5.ipynb index 5da0c5f5..2f749dbe 100755 --- a/Exercise5/exercise5.ipynb +++ b/Exercise5/exercise5.ipynb @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 73, "metadata": {}, "outputs": [], "source": [ @@ -40,6 +40,8 @@ "# library written for this exercise providing additional functions for assignment submission, and others\n", "import utils\n", "\n", + "import random\n", + "\n", "# define the submission/grader object for this exercise\n", "grader = utils.Grader()\n", "\n", @@ -97,9 +99,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Load from ex5data1.mat, where all variables will be store in a dictionary\n", "data = loadmat(os.path.join('Data', 'ex5data1.mat'))\n", @@ -138,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -150,7 +165,7 @@ " \n", " Parameters\n", " ----------\n", - " X : array_like\n", + " X : array_like|\n", " The dataset. Matrix with shape (m x n + 1) where m is the \n", " total number of examples, and n is the number of features \n", " before adding the bias term.\n", @@ -188,8 +203,14 @@ " grad = np.zeros(theta.shape)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", + " # We can vectorize our cost function by \n", + " xtheta = np.dot(X,theta)\n", + " err = xtheta - y\n", + " J = np.sum(err**2)/(2*m) + lambda_/(2*m)*np.sum(theta[1:]**2)\n", "\n", - "\n", + " # Now our gradient is\n", + " grad = np.dot(X.T,err)/m\n", + " grad[1:] += lambda_/(m)*theta[1:]\n", "\n", " # ============================================================\n", " return J, grad" @@ -204,9 +225,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost at theta = [1, 1]:\t 303.993192 \n", + "This value should be about 303.993192)\n", + "\n" + ] + } + ], "source": [ "theta = np.array([1, 1])\n", "J, _ = linearRegCostFunction(np.concatenate([np.ones((m, 1)), X], axis=1), y, theta, 1)\n", @@ -228,9 +259,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise regularized-linear-regression-and-bias-variance\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + "Regularized Linear Regression Cost Function | 25 / 25 | Nice work!\n", + " Regularized Linear Regression Gradient | 0 / 25 | Your answer is incorrect.\n", + " Learning Curve | 0 / 20 | Your answer is incorrect.\n", + " Polynomial Feature Mapping | 0 / 10 | Your answer is incorrect.\n", + " Validation Curve | 0 / 20 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 25 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[1] = linearRegCostFunction\n", "grader.grade()" @@ -260,9 +311,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gradient at theta = [1, 1]: [-15.303016, 598.250744] \n", + " (this value should be about [-15.303016, 598.250744])\n", + "\n" + ] + } + ], "source": [ "theta = np.array([1, 1])\n", "J, grad = linearRegCostFunction(np.concatenate([np.ones((m, 1)), X], axis=1), y, theta, 1)\n", @@ -280,9 +341,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise regularized-linear-regression-and-bias-variance\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + "Regularized Linear Regression Cost Function | 25 / 25 | Nice work!\n", + " Regularized Linear Regression Gradient | 25 / 25 | Nice work!\n", + " Learning Curve | 0 / 20 | Your answer is incorrect.\n", + " Polynomial Feature Mapping | 0 / 10 | Your answer is incorrect.\n", + " Validation Curve | 0 / 20 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 50 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[2] = linearRegCostFunction\n", "grader.grade()" @@ -308,9 +389,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# add a columns of ones for the y-intercept\n", "X_aug = np.concatenate([np.ones((m, 1)), X], axis=1)\n", @@ -354,7 +448,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -436,7 +530,14 @@ " error_val = np.zeros(m)\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - " \n", + " #for loop to iterate over training set size\n", + " for i in range(1,m+1):\n", + " # fit theta using provided function expanding training set size by 1 each loop\n", + " theta = utils.trainLinearReg(linearRegCostFunction, X[:i,:], y[:i], lambda_)\n", + "\n", + " # errors are calculated using the entire training and validation set\n", + " error_train[i-1], grad = linearRegCostFunction(X[:i,:],y[:i],theta, lambda_ = 0)\n", + " error_val[i-1],grad = linearRegCostFunction(Xval,yval,theta, lambda_ = 0)\n", "\n", " \n", " # =============================================================\n", @@ -456,9 +557,41 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# Training Examples\tTrain Error\tCross Validation Error\n", + " \t1\t\t0.000000\t205.121096\n", + " \t2\t\t0.000000\t110.302641\n", + " \t3\t\t3.286595\t45.010231\n", + " \t4\t\t2.842678\t48.368911\n", + " \t5\t\t13.154049\t35.865165\n", + " \t6\t\t19.443963\t33.829962\n", + " \t7\t\t20.098522\t31.970986\n", + " \t8\t\t18.172859\t30.862446\n", + " \t9\t\t22.609405\t31.135998\n", + " \t10\t\t23.261462\t28.936207\n", + " \t11\t\t24.317250\t29.551432\n", + " \t12\t\t22.373906\t29.433818\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "X_aug = np.concatenate([np.ones((m, 1)), X], axis=1)\n", "Xval_aug = np.concatenate([np.ones((yval.size, 1)), Xval], axis=1)\n", @@ -485,9 +618,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise regularized-linear-regression-and-bias-variance\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + "Regularized Linear Regression Cost Function | 25 / 25 | Nice work!\n", + " Regularized Linear Regression Gradient | 25 / 25 | Nice work!\n", + " Learning Curve | 20 / 20 | Nice work!\n", + " Polynomial Feature Mapping | 0 / 10 | Your answer is incorrect.\n", + " Validation Curve | 0 / 20 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 70 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[3] = learningCurve\n", "grader.grade()" @@ -521,7 +674,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ @@ -554,7 +707,10 @@ " X_poly = np.zeros((X.shape[0], p))\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", + " for i in range(1,p+1):\n", + " # X is actually a matrix of dimension m,1 so it needs to be reshaped to be mappable to \n", + " # the row of poly this can be done by slicing or by using the ravel function\n", + " X_poly[:,i-1] = X[:,0]**i\n", "\n", "\n", " # ============================================================\n", @@ -570,9 +726,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Normalized Training Example 1:\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ 1. , -0.36214078, -0.75508669, 0.18222588, -0.70618991,\n", + " 0.30661792, -0.59087767, 0.3445158 , -0.50848117])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "p = 8\n", "\n", @@ -606,9 +781,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 54, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise regularized-linear-regression-and-bias-variance\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + "Regularized Linear Regression Cost Function | 25 / 25 | Nice work!\n", + " Regularized Linear Regression Gradient | 25 / 25 | Nice work!\n", + " Learning Curve | 20 / 20 | Nice work!\n", + " Polynomial Feature Mapping | 10 / 10 | Nice work!\n", + " Validation Curve | 0 / 20 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 80 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[4] = polyFeatures\n", "grader.grade()" @@ -645,11 +840,57 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 59, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Polynomial Regression (lambda = 2.000000)\n", + "\n", + "# Training Examples\tTrain Error\tCross Validation Error\n", + " \t1\t\t0.000000\t138.846777\n", + " \t2\t\t0.068940\t143.705171\n", + " \t3\t\t8.640989\t4.972055\n", + " \t4\t\t4.873706\t4.551465\n", + " \t5\t\t3.881406\t4.731446\n", + " \t6\t\t3.011585\t5.857765\n", + " \t7\t\t3.439132\t4.620617\n", + " \t8\t\t2.955671\t4.694400\n", + " \t9\t\t2.918171\t5.298960\n", + " \t10\t\t2.683945\t5.134699\n", + " \t11\t\t2.426198\t5.240701\n", + " \t12\t\t3.442308\t3.988397\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "lambda_ = 0\n", + "lambda_ = 2\n", "theta = utils.trainLinearReg(linearRegCostFunction, X_poly, y,\n", " lambda_=lambda_, maxiter=55)\n", "\n", @@ -723,7 +964,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ @@ -794,6 +1035,16 @@ " error_val = np.zeros(len(lambda_vec))\n", "\n", " # ====================== YOUR CODE HERE ======================\n", + " for i in range(len(lambda_vec)):\n", + " lambda_ = lambda_vec[i]\n", + " # what we are doing is very similar to what we did with the other learning curve\n", + " # except now we are fitting with the new lambda parameter on each loop instead of\n", + " # varying the size of the training set\n", + " theta = utils.trainLinearReg(linearRegCostFunction, X, y, lambda_)\n", + "\n", + " # errors are calculated using the entire training and validation set\n", + " error_train[i], grad = linearRegCostFunction(X,y,theta, lambda_ = 0)\n", + " error_val[i],grad = linearRegCostFunction(Xval,yval,theta, lambda_ = 0)\n", "\n", "\n", "\n", @@ -815,9 +1066,39 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 67, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "lambda\t\tTrain Error\tValidation Error\n", + " 0.000000\t0.033456\t41.458105\n", + " 0.001000\t0.112437\t9.819274\n", + " 0.003000\t0.170914\t16.315587\n", + " 0.010000\t0.221511\t16.912552\n", + " 0.030000\t0.281844\t12.829933\n", + " 0.100000\t0.459315\t7.587012\n", + " 0.300000\t0.921775\t4.636793\n", + " 1.000000\t2.076200\t4.260601\n", + " 3.000000\t4.901378\t3.822907\n", + " 10.000000\t16.092273\t9.945554\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "lambda_vec, error_train, error_val = validationCurve(X_poly, y, X_poly_val, yval)\n", "\n", @@ -840,9 +1121,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise regularized-linear-regression-and-bias-variance\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + "Regularized Linear Regression Cost Function | 25 / 25 | Nice work!\n", + " Regularized Linear Regression Gradient | 25 / 25 | Nice work!\n", + " Learning Curve | 20 / 20 | Nice work!\n", + " Polynomial Feature Mapping | 10 / 10 | Nice work!\n", + " Validation Curve | 20 / 20 | Nice work!\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[5] = validationCurve\n", "grader.grade()" @@ -861,10 +1162,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 71, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "for lambda = 3 the test error is 3.859889421222976\n" + ] + } + ], + "source": [ + "\n", + "\n", + "theta_test = utils.trainLinearReg(linearRegCostFunction, X_poly, y, 3)\n", + "error_test, grad = linearRegCostFunction(X_poly_test,ytest,theta_test, lambda_ = 0)\n", + "print(f'for lambda = 3 the test error is {error_test}')" + ] }, { "cell_type": "markdown", @@ -883,6 +1198,170 @@ "*You do not need to submit any solutions for this optional (ungraded) exercise.*" ] }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [], + "source": [ + "def learningCurveMulti(X, y, Xval, yval, iter, lambda_=0):\n", + " \"\"\"\n", + " Generates the train and cross validation set errors needed to plot a learning curve\n", + " returns the train and cross validation set errors for a learning curve. \n", + " \n", + " In this function, you will compute the train and test errors for\n", + " dataset sizes from 1 up to m. In practice, when working with larger\n", + " datasets, you might want to do this in larger intervals.\n", + " \n", + " Parameters\n", + " ----------\n", + " X : array_like\n", + " The training dataset. Matrix with shape (m x n + 1) where m is the \n", + " total number of examples, and n is the number of features \n", + " before adding the bias term.\n", + " \n", + " y : array_like\n", + " The functions values at each training datapoint. A vector of\n", + " shape (m, ).\n", + " \n", + " Xval : array_like\n", + " The validation dataset. Matrix with shape (m_val x n + 1) where m is the \n", + " total number of examples, and n is the number of features \n", + " before adding the bias term.\n", + " \n", + " yval : array_like\n", + " The functions values at each validation datapoint. A vector of\n", + " shape (m_val, ).\n", + " \n", + " iter : interger\n", + " number of validation trials for each sample size\n", + " \n", + " lambda_ : float, optional\n", + " The regularization parameter.\n", + " \n", + " Returns\n", + " -------\n", + " error_train : array_like\n", + " A vector of shape m. error_train[i] contains the training error for\n", + " i examples.\n", + " error_val : array_like\n", + " A vector of shape m. error_val[i] contains the validation error for\n", + " i training examples.\n", + " \n", + " Hint\n", + " ----\n", + " You can loop over the examples with the following:\n", + " \n", + " for i in range(1, m+1):\n", + " # Compute train/cross validation errors using training examples \n", + " # X[:i, :] and y[:i], storing the result in \n", + " # error_train[i-1] and error_val[i-1]\n", + " .... \n", + " \"\"\"\n", + " # Number of training examples\n", + " m = y.size\n", + "\n", + " # You need to return these values correctly\n", + " error_train = np.zeros(m)\n", + " error_val = np.zeros(m)\n", + "\n", + " # ====================== YOUR CODE HERE ======================\n", + " #for loop to iterate over training set size\n", + " for i in range(1,m+1):\n", + " # for loop to loop over the iterations we try for each training loop\n", + " error_train_temp = np.zeros(iter)\n", + " error_val_temp = np.zeros(iter)\n", + " for j in range(iter):\n", + " # pick sample of numbers between 1 and m with replacment of size i\n", + " sample = [random.randint(0,m-1) for i in range(i)]\n", + "\n", + " # fit theta using provided function expanding training set size by 1 each loop\n", + " theta = utils.trainLinearReg(linearRegCostFunction, X[sample,:], y[sample], lambda_)\n", + "\n", + " # errors are calculated using the entire training and validation set\n", + " error_train_temp[j], grad = linearRegCostFunction(X[sample,:],y[sample],theta, lambda_ = 0)\n", + " error_val_temp[j],grad = linearRegCostFunction(Xval,yval,theta, lambda_ = 0)\n", + " \n", + " error_train[i-1] = np.average(error_train_temp)\n", + " error_val[i-1] = np.average(error_val_temp)\n", + "\n", + " \n", + " # =============================================================\n", + " return error_train, error_val" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "# Training Examples\tTrain Error\tCross Validation Error\n", + " \t1\t\t0.000000\t145.107546\n", + " \t2\t\t7.921783\t97.752153\n", + " \t3\t\t9.081518\t75.167955\n", + " \t4\t\t8.878985\t52.848547\n", + " \t5\t\t9.140424\t25.628802\n", + " \t6\t\t7.751290\t27.962220\n", + " \t7\t\t7.742000\t24.602373\n", + " \t8\t\t6.414356\t18.397098\n", + " \t9\t\t6.035535\t14.108357\n", + " \t10\t\t5.800458\t8.554691\n", + " \t11\t\t5.048519\t10.392601\n", + " \t12\t\t4.539353\t7.778548\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "error_train, error_val = learningCurveMulti(X_poly, y, X_poly_val, yval, iter = 50, lambda_= 3)\n", + "\n", + "pyplot.plot(np.arange(1, m+1), error_train, np.arange(1, m+1), error_val, lw=2)\n", + "pyplot.title('Learning curve for linear regression')\n", + "pyplot.legend(['Train', 'Cross Validation'])\n", + "pyplot.xlabel('Number of training examples')\n", + "pyplot.ylabel('Error')\n", + "pyplot.axis([0, 13, 0, 150])\n", + "\n", + "print('# Training Examples\\tTrain Error\\tCross Validation Error')\n", + "for i in range(m):\n", + " print(' \\t%d\\t\\t%f\\t%f' % (i+1, error_train[i], error_val[i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([22.76274892])" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[11,:]" + ] + }, { "cell_type": "code", "execution_count": null, @@ -893,7 +1372,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -907,7 +1386,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.4" + "version": "3.8.8" + }, + "vscode": { + "interpreter": { + "hash": "f5ec4f5abb42c8def48fd8f20dbba607f2f56bc05cd625983e88adc591328b29" + } } }, "nbformat": 4, diff --git a/Exercise6/exercise6.ipynb b/Exercise6/exercise6.ipynb index e7e1ffac..f05a6070 100755 --- a/Exercise6/exercise6.ipynb +++ b/Exercise6/exercise6.ipynb @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -101,9 +101,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Load from ex6data1\n", "# You will have X, y as keys in the dict data\n", @@ -147,13 +160,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# You should try to change the C value below and see how the decision\n", "# boundary varies (e.g., try C = 1000)\n", - "C = 1\n", + "C = 10000\n", "\n", "model = utils.svmTrain(X, y, C, utils.linearKernel, 1e-3, 20)\n", "utils.visualizeBoundaryLinear(X, y, model)" @@ -180,7 +206,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -212,8 +238,12 @@ " \"\"\"\n", " sim = 0\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", - "\n", + " # calculate the exponent, vectorizing the function\n", + " x1x2 = x1 - x2\n", + " temp = np.dot(x1x2.T,x1x2)/(2*sigma**2)\n", + " \n", + " # calculate the function\n", + " sim = np.exp(-temp)\n", "\n", " # =============================================================\n", " return sim" @@ -228,9 +258,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gaussian Kernel between x1 = [1, 2, 1], x2 = [0, 4, -1], sigma = 2.00:\n", + "\t0.324652\n", + "(for sigma = 2, this value should be about 0.324652)\n", + "\n" + ] + } + ], "source": [ "x1 = np.array([1, 2, 1])\n", "x2 = np.array([0, 4, -1])\n", @@ -251,9 +292,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise support-vector-machines\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Gaussian Kernel | 25 / 25 | Nice work!\n", + " Parameters (C, sigma) for Dataset 3 | 0 / 25 | Your answer is incorrect.\n", + " Email Processing | 0 / 25 | Your answer is incorrect.\n", + " Email Feature Extraction | 0 / 25 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 25 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[1] = gaussianKernel\n", "grader.grade()" @@ -272,9 +332,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Load from ex6data2\n", "# You will have X, y as keys in the dict data\n", @@ -298,9 +371,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Taylor\\Documents\\ProgramsAndScripts\\ml-coursera-python-assignments\\Exercise6\\utils.py:322: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", + " pyplot.pcolormesh(X1, X2, vals, cmap='YlGnBu', alpha=0.25, edgecolors='None', lw=0)\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# SVM Parameters\n", "C = 1\n", @@ -326,9 +420,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Load from ex6data3\n", "# You will have X, y, Xval, yval as keys in the dict data\n", @@ -356,7 +463,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -406,11 +513,35 @@ " np.mean(predictions != yval)\n", " \"\"\"\n", " # You need to return the following variables correctly.\n", - " C = 1\n", - " sigma = 0.3\n", + " #C = 1\n", + " #sigma = 0.3\n", + " C = 0\n", + " sigma = 0\n", "\n", " # ====================== YOUR CODE HERE ======================\n", - "\n", + " # first set the base error as something high enough that it will always be replaced\n", + " error = 100\n", + "\n", + " # We need a list of params to test through cross validation\n", + " C_list = [0.01, 0.03, 0.1, 0.3, 1, 3, 10, 30]\n", + " sigma_list = [0.01, 0.03, 0.1, 0.3, 1, 3, 10, 30]\n", + "\n", + " # loop through both the C and sigma lists\n", + " for cee in C_list:\n", + " for sig in sigma_list:\n", + " # Train the model with the selected value of C and sigma\n", + " model_trial = utils.svmTrain(X, y, cee, gaussianKernel, args=(sig,))\n", + " # make predictions and see how much error we had \n", + " predictions = utils.svmPredict(model_trial, Xval)\n", + " error_trial = np.mean(predictions != yval)\n", + "\n", + " # If the old error is greater than the new error replace the values of C and sigma with\n", + " # the ones that we are trying and replace the error\n", + " if error > error_trial:\n", + " # model = model_trial\n", + " C = cee\n", + " sigma = sig\n", + " error = error_trial\n", " \n", " \n", " # ============================================================\n", @@ -426,9 +557,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.3 0.1\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Taylor\\Documents\\ProgramsAndScripts\\ml-coursera-python-assignments\\Exercise6\\utils.py:322: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3. Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading']. This will become an error two minor releases later.\n", + " pyplot.pcolormesh(X1, X2, vals, cmap='YlGnBu', alpha=0.25, edgecolors='None', lw=0)\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Try different SVM Parameters here\n", "C, sigma = dataset3Params(X, y, Xval, yval)\n", @@ -451,9 +610,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise support-vector-machines\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Gaussian Kernel | 25 / 25 | Nice work!\n", + " Parameters (C, sigma) for Dataset 3 | 25 / 25 | Nice work!\n", + " Email Processing | 0 / 25 | Your answer is incorrect.\n", + " Email Feature Extraction | 0 / 25 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 50 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[2] = lambda : (C, sigma)\n", "grader.grade()" @@ -555,7 +733,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -654,6 +832,13 @@ "\n", " # Look up the word in the dictionary and add to word_indices if found\n", " # ====================== YOUR CODE HERE ======================\n", + " \n", + " # this statement tries to add the word index to the list and then does nothing\n", + " # if the word isn't there\n", + " try:\n", + " word_indices.append(vocabList.index(word))\n", + " except ValueError:\n", + " pass\n", "\n", " \n", "\n", @@ -676,9 +861,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "----------------\n", + "Processed email:\n", + "----------------\n", + "anyon know how much it cost to host a web portal well it depend on how mani visitor your expect thi can be anywher from less than number buck a month to a coupl of dollar number you should checkout httpaddr or perhap amazon ec number if your run someth big to unsubscrib yourself from thi mail list send an email to emailaddr\n", + "-------------\n", + "Word Indices:\n", + "-------------\n", + "[85, 915, 793, 1076, 882, 369, 1698, 789, 1821, 1830, 882, 430, 1170, 793, 1001, 1894, 591, 1675, 237, 161, 88, 687, 944, 1662, 1119, 1061, 1698, 374, 1161, 476, 1119, 1892, 1509, 798, 1181, 1236, 511, 1119, 809, 1894, 1439, 1546, 180, 1698, 1757, 1895, 687, 1675, 991, 960, 1476, 70, 529, 1698, 530]\n" + ] + } + ], "source": [ "# To use an SVM to classify emails into Spam v.s. Non-Spam, you first need\n", "# to convert each email into a vector of features. In this part, you will\n", @@ -708,9 +908,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise support-vector-machines\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Gaussian Kernel | 25 / 25 | Nice work!\n", + " Parameters (C, sigma) for Dataset 3 | 25 / 25 | Nice work!\n", + " Email Processing | 25 / 25 | Nice work!\n", + " Email Feature Extraction | 0 / 25 | Your answer is incorrect.\n", + " --------------------------------\n", + " | 75 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[3] = processEmail\n", "grader.grade()" @@ -738,7 +957,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -798,6 +1017,10 @@ " x = np.zeros(n)\n", "\n", " # ===================== YOUR CODE HERE ======================\n", + " #vocabList = utils.getVocabList()\n", + "\n", + " # we dont' actually need the vocab list, jsut assign 1 whereever the index exists in word_indicies\n", + " x[word_indices] = 1\n", "\n", " \n", " \n", @@ -815,9 +1038,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "----------------\n", + "Processed email:\n", + "----------------\n", + "anyon know how much it cost to host a web portal well it depend on how mani visitor your expect thi can be anywher from less than number buck a month to a coupl of dollar number you should checkout httpaddr or perhap amazon ec number if your run someth big to unsubscrib yourself from thi mail list send an email to emailaddr\n", + "\n", + "Length of feature vector: 1899\n", + "Number of non-zero entries: 45\n" + ] + } + ], "source": [ "# Extract Features\n", "with open(os.path.join('Data', 'emailSample1.txt')) as fid:\n", @@ -840,9 +1077,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Submitting Solutions | Programming Exercise support-vector-machines\n", + "\n", + " Part Name | Score | Feedback\n", + " --------- | ----- | --------\n", + " Gaussian Kernel | 25 / 25 | Nice work!\n", + " Parameters (C, sigma) for Dataset 3 | 25 / 25 | Nice work!\n", + " Email Processing | 25 / 25 | Nice work!\n", + " Email Feature Extraction | 25 / 25 | Nice work!\n", + " --------------------------------\n", + " | 100 / 100 | \n", + "\n" + ] + } + ], "source": [ "grader[4] = emailFeatures\n", "grader.grade()" @@ -862,9 +1118,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training Linear SVM (Spam Classification)\n", + "This may take 1 to 2 minutes ...\n", + "\n" + ] + } + ], "source": [ "# Load the Spam Email dataset\n", "# You will have X, y in your environment\n", @@ -880,9 +1146,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Training Accuracy: 99.85\n" + ] + } + ], "source": [ "# Compute the training accuracy\n", "p = utils.svmPredict(model, X)\n", @@ -899,9 +1173,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Evaluating the trained Linear SVM on a test set ...\n", + "Test Accuracy: 98.80\n" + ] + } + ], "source": [ "# Load the test dataset\n", "# You will have Xtest, ytest in your environment\n", @@ -933,9 +1216,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 37, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Top predictors of spam:\n", + "word weight \n", + "---- ------\n", + "our 0.50\n", + "click 0.47\n", + "remov 0.42\n", + "guarante 0.38\n", + "visit 0.37\n", + "basenumb 0.34\n", + "dollar 0.32\n", + "will 0.27\n", + "pleas 0.26\n", + "price 0.26\n", + "most 0.26\n", + "nbsp 0.26\n", + "lo 0.25\n", + "ga 0.24\n", + "al 0.24\n" + ] + } + ], "source": [ "# Sort the weights and obtin the vocabulary list\n", "# NOTE some words have the same weights, \n", @@ -964,11 +1272,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Processed Data\\spamSample1.txt\n", + "Spam Classification: spam\n" + ] + } + ], "source": [ - "filename = os.path.join('Data', 'emailSample1.txt')\n", + "filename = os.path.join('Data', 'spamSample1.txt')\n", "\n", "with open(filename) as fid:\n", " file_contents = fid.read()\n", @@ -1007,7 +1325,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -1021,7 +1339,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.4" + "version": "3.8.8" + }, + "vscode": { + "interpreter": { + "hash": "f5ec4f5abb42c8def48fd8f20dbba607f2f56bc05cd625983e88adc591328b29" + } } }, "nbformat": 4,