{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Regressione lineare con gradiente e sperimentazione per vari valori del coefficiente $\\alpha$ nel gradiente"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.colors as mcolors\n",
"from matplotlib import cm\n",
"from mpl_toolkits.mplot3d import Axes3D"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Definizioni relative alla visualizzazione"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.style.use('fivethirtyeight')\n",
"\n",
"plt.rcParams['font.family'] = 'sans-serif'\n",
"plt.rcParams['font.serif'] = 'Ubuntu'\n",
"plt.rcParams['font.monospace'] = 'Ubuntu Mono'\n",
"plt.rcParams['font.size'] = 10\n",
"plt.rcParams['axes.labelsize'] = 10\n",
"plt.rcParams['axes.labelweight'] = 'bold'\n",
"plt.rcParams['axes.titlesize'] = 10\n",
"plt.rcParams['xtick.labelsize'] = 8\n",
"plt.rcParams['ytick.labelsize'] = 8\n",
"plt.rcParams['legend.fontsize'] = 10\n",
"plt.rcParams['figure.titlesize'] = 12\n",
"plt.rcParams['image.cmap'] = 'jet'\n",
"plt.rcParams['image.interpolation'] = 'none'\n",
"plt.rcParams['figure.figsize'] = (16, 8)\n",
"plt.rcParams['lines.linewidth'] = 2\n",
"plt.rcParams['lines.markersize'] = 8\n",
"\n",
"colors = ['xkcd:pale orange', 'xkcd:sea blue', 'xkcd:pale red', 'xkcd:sage green', 'xkcd:terra cotta', 'xkcd:dull purple', 'xkcd:teal', 'xkcd:goldenrod', 'xkcd:cadet blue', \n",
" 'xkcd:scarlet']\n",
"cmap_big = cm.get_cmap('Spectral', 512)\n",
"cmap = mcolors.ListedColormap(cmap_big(np.linspace(0.7, 0.95, 256)))\n",
"\n",
"bbox_props = dict(boxstyle=\"round,pad=0.3\", fc=colors[0], alpha=.5)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"import urllib.request\n",
"\n",
"filepath = \"../dataset/\"\n",
"url = \"https://tvml.github.io/ml2425/dataset/\"\n",
"\n",
"def get_file(filename):\n",
" IS_COLAB = ('google.colab' in str(get_ipython()))\n",
" if IS_COLAB:\n",
" urllib.request.urlretrieve (url+filename, filename)\n",
" return filename\n",
" else:\n",
" return filepath+filename"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Funzione di normalizzazione"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def normalizza(X):\n",
" mu = np.mean(X, axis=0)\n",
" sigma = np.std(X, axis=0, ddof=1)\n",
" return (X-mu)/sigma"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Legge i dati in dataframe pandas"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# legge i dati in dataframe pandas\n",
"data = pd.read_csv(get_file(\"mammals.csv\"), delimiter=',')\n",
"\n",
"# calcola dimensione dei dati\n",
"n = len(data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Visualizza il dataset."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"ax.scatter(data.body, data.brain, s=20, marker='o', linewidths=1)\n",
"plt.xlabel(u'Peso corporeo', fontsize=12)\n",
"plt.ylabel('Peso del cervello', fontsize=12)\n",
"plt.xticks(fontsize=10)\n",
"plt.yticks(fontsize=10)\n",
"plt.title('Dataset', fontsize=12)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Regressione mediante discesa del gradiente on-line"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Estrae dal dataframe gli array X delle features e y dei valori\n",
"X, t = np.array(data[['body']]), np.array(data['brain']).reshape((-1,1))\n",
"\n",
"X=normalizza(X)\n",
"X = np.column_stack((np.ones(n), X))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Mostriamo la distribuzione dell'errore quadratico medio al variare dei coefficienti"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# insieme dei valori considerati per i coefficienti\n",
"w0_list = np.linspace(80, 180, 100)\n",
"w1_list = np.linspace(80, 180, 100)\n",
"\n",
"# crea una griglia di coppie di valori \n",
"w0, w1 = np.meshgrid(w0_list, w1_list)\n",
"\n",
"# definisce la funzione da calcolare in ogni punto della griglia\n",
"def error(v1, v2):\n",
" theta = np.array((v1, v2)).reshape(-1, 1)\n",
" e=(np.dot(X,theta)-t)\n",
" return np.dot(e.T,e)[0,0]/(2*n)\n",
"\n",
"v_error=np.vectorize(error)\n",
"e=v_error(w0,w1).T"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.add_subplot(projection='3d')\n",
"surf=ax.plot_surface(w0, w1, e, rstride=1, cstride=1, cmap=cmap , linewidth=0, antialiased=True)\n",
"ax.tick_params(axis='x', labelsize=10)\n",
"ax.tick_params(axis='y', labelsize=10)\n",
"ax.tick_params(axis='z', labelsize=10)\n",
"plt.xlabel(r\"$\\theta_0$\", fontsize=12)\n",
"plt.ylabel(r\"$\\theta_1$\", fontsize=12)\n",
"plt.title(r\"Errore quadratico medio al variare dei coefficienti $w_0,w_1$\", fontsize=12)\n",
"fig.colorbar(surf, shrink=0.5, aspect=7)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"fig.patch.set_facecolor('white')\n",
"ax = fig.gca()\n",
"im = plt.imshow(e, origin='lower', cmap=cmap, extent=(w0_list.min(),w0_list.max(),\n",
" w1_list.min(), w1_list.max()), aspect='auto',alpha=.8)\n",
"ax.tick_params(axis='x', labelsize=10)\n",
"ax.tick_params(axis='y', labelsize=10)\n",
"plt.xlabel(r\"$w_0$\", fontsize=12)\n",
"plt.ylabel(r\"$w_1$\", fontsize=12)\n",
"plt.title(r\"Errore quadratico medio al variare dei coefficienti $w_0,w_1$\", fontsize=12)\n",
"fig.colorbar(im, shrink=0.5, aspect=7)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"theta = np.dot(np.dot(np.linalg.inv(np.dot(X.T, X)), X.T), t)\n",
"e=np.dot(X,theta)-t\n",
"c_opt=np.dot(e.T,e)[0,0]/(2*n)\n",
"threshold = c_opt+0.05*c_opt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Effettua la regressione mediante discesa del gradiente"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Funzione che applica la ricerca per gradiente memorizzando la sequenza dei costi\n",
"def gradiente( X, t, w_init, eta, iterations, n):\n",
" w = np.copy(w_init)\n",
" costs = []\n",
" for i in range(iterations):\n",
" e=np.dot(X,w)-t\n",
" c=np.dot(e.T,e)[0,0]/(2*n)\n",
" dw=np.dot(X.T, e)/n\n",
" w = w-eta*dw\n",
" costs.append(c)\n",
" return costs, w"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Inizializza il vettore dei coefficienti\n",
"w_init = np.array([0, 0]).reshape(-1,1)\n",
"iterations = 150\n",
"etas = [0.01, 0.03, 0.1, 0.3, 0.5, 1]\n",
"\n",
"number_of_iterations = range(1, iterations + 1)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,16))\n",
"for c,eta in enumerate(etas):\n",
" costs, w = gradiente(X, t, w_init, eta, iterations, n)\n",
" max_index = np.max(np.where(costs > threshold)[0])+1\n",
" ax = fig.add_subplot(3, 2, c+1)\n",
" ax = fig.gca()\n",
" ax.plot(number_of_iterations, costs, c= colors[1], alpha=1, lw=1.5)\n",
" plt.xticks(fontsize=8)\n",
" plt.yticks(fontsize=8)\n",
" plt.xlabel(r'Numero di iterazioni', fontsize=10)\n",
" plt.ylabel(r'Costo', fontsize=10)\n",
" plt.text(0.8, 0.9, 'convergenza: {0:d}'.format(max_index), fontsize=12, \n",
" transform=ax.transAxes, bbox=bbox_props)\n",
" plt.title(r'$\\eta$='+str(eta)+r': $c$='+str(round(costs[-1],3))+r'; $w_0$='+str(round(w[0][0],2))+'; $w_1$='+str(round(w[1][0],2))+'', fontsize=10)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"for c,alpha in enumerate(etas):\n",
" costs, w = gradiente(X, t, w_init, eta, iterations, n)\n",
" ax.plot(number_of_iterations, costs, c= colors[c+1], alpha=.8, lw=1.5, label=alpha)\n",
"plt.xticks(fontsize=8)\n",
"plt.yticks(fontsize=8)\n",
"plt.xlabel(r'Numero di iterazioni', fontsize=10)\n",
"plt.ylabel(r'Costo', fontsize=10)\n",
"legend = ax.legend(loc='upper right', shadow=True)\n",
"plt.title(r'Convergenza per diversi valori di $\\eta$', fontsize=12)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def stochastic_gd(X, t, theta_init, eta = 0.01, epochs = 1000):\n",
" theta = theta_init\n",
" theta_history = []\n",
" cost_history = []\n",
" for j in range(epochs):\n",
" for i in range(n):\n",
" e1 = (t[i] - np.dot(X[i,:].reshape(1,-1), theta)).item()/n\n",
" theta = theta + eta * e1 * X[i,:].reshape(-1,1)\n",
" e=np.dot(X,theta)-t\n",
" c=np.dot(e.T,e)[0,0]/(2*n)\n",
" cost_history.append(c)\n",
" cost_history = np.array(cost_history).reshape(-1,1)\n",
" return cost_history, theta"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"w_init = np.array([0, 0]).reshape(-1,1)\n",
" \n",
"epochs = 300\n",
"etas = [0.01, 0.03, 0.1, 0.3, 0.5, 1]\n",
"\n",
"number_of_iterations = range(1, epochs + 1)\n",
"costs, w = stochastic_gd(X, t, w_init, 0.7, epochs)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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xduzYYd236LHTsWNJfUhowXXkXC6Xo5f0o1BYWBi1Mgw1Mw81Mwv1ch53jkchIcW/+h0+lqH8fK/OaBIhj6fkcb8DGUfUommjEsdbNi/4Upp+JFMhISHWF98mkQ2KnRtep+C9kJObb90+Zkii7vvXq1ry1qeadetV+vbnXdrw7S/6593XWef8ln5EknT++Fknf01ul3Wu2+VS3dphimxYv9g56YePKcTjUbPGEcVub9Es8vhjuBUSEqJDBzKUl5+vJ197V0++9u5Jny/9cPlfpyTl5eXr2vue0E870vTOU/epdctm1rEjx7I06JaHVDssVH+55Qq1j22uOrXDtDPtgK6e9n8lHquo09XsxPMkyeMu/XxvSIhq1arYNXWdymn5QrInY7jcBc2X0FD+fjYF/19qFuplHmpmHmrmMPl58ng8cpMxLGSMk/N6QoL62XVcQ0OSRo0apTVr1ujGG29Uenq6NmzYoDvuuEOStGvXLrVsWXAds88//1wHDhxQmzZtJBVsAvjcc89p6NChysjI0Ouvv66kpCTr2LRp03TDDTcoJCREixYt0v3332/L6yvN8ayh6jMvDgAAOFFkg3ryeNzasz/9tOc1blhPv57knD37Cm5rElGvxLHSNGoQrsv7d9fi1cn6yy1X6MU3P1LtWqG6alDvwuc9/rgvP3SbYpuXPqOn6Gx5v8iG9ZSXn68Dh44ossjsqbTfDpUYj8fj1phL++rmK0++B0LrFk1PentpJv3tWb3/+Td647E/qWuH2GLHPvh8i/bsO6j/Pfln9evZybr90OGTL8lGxdT0fCEVBHJJ8pEyAABAJSJjFB8PGSP4bG1oTJkyRatXr1ZaWpqGDx+u8PBwpaSkaMaMGZo4caKeeeYZSdJdd92l+Ph4SQXXu923b5/cbrfq1Kmj559/Xg2PX6Lp6quvVkpKinr27ClJuv3229WxY8Fyon79+mn48OHq06ePpIJQM2DAADmR6/iWfd5qtNQfAAA4T53aYUqM76hVH3+l/emH1bxJo5Oed8E5nbXigw3ave+gWjQtPOfl1WtVt3aYzo1rV6Hnv3ZofyWt+UxvJ3+l/7z1iX53QU9F1C9c9n1J7ziFeDz6eedejbjonAo9R78enfToi6u09J31uumKwhDx6v/WFTuvbu1aOr/nWfrq++2Kax+rsNDgfE3+yxNL9eKbH+vpv9yki847u8Rxf0AKCyv+fE8vez8oz1/TkC9OzR/FvUQMAABQicgYhcgYlcPWhsa8efM0b968Erc3btxYr7zyyknvc7qN9jwez0kfz+/uu+/W3XffXf6BVjF/449+BgAAqGxzJo/WJTfP0UU3ztaU6y7XmTFRSjuQoVUfbdS/7r1e9cPr6L4bR+ittV9q8B/n6N4bhyuyQbj+8/anemvtV3rw9tFqWK9uhZ57QO+z1bJZpCY/9IJ+/e2Qrh3av9jxVi2aasbNI/WXfy/Vtl17dUlCVzWqH660A4f0xTc/K7xOLU2/eeQpHr3AwIQ4JXRrr3seW6KMo5nq0am11m/+SYtXJ0uS3C63de68P43TxRNm6+IJs3XTqIvVqkUTHT6apa0707T64xS9/cS95Xp9SWs+00PPrtCIi89Ru9jmWr/5J+tYrbAQxXdsrd5d26lRg3DdPud5/XnCcIWGePSftz/V5h93lHi87Xv2q8uIKRpzaR/9/dYrSn3+19/9TJL0y659kqQN3/6i8LoFl5MaefG55XotpiBfnFphxiBkAACAykXGIGNUJkdecqqmc8u/HBwAAKByxbWP1ap/3ql//meNZsx/TYePZSmqcUNd0KuzNYOoQ+sz9P7TM/TAv1/TnQ+/qMzsHHVq3UJPzZiga4b2q/Bzu91ujR3SVw8/96aioyJ14TmdS5wz9fqh6tS2heb/53969b/rlJ2bp6jGDdWzcxtNGHlRmZ4j6dG7dM9jL+uRF1YqJzdPCd066NmZf9T51/9VDesXBqWz2rbUpy/N1JxnlusvTy7VvgMZiqhfV2fGNNfgvt3K/fq+/XmnJGnZu59r2bufFzsWe0YTfb/iUTWOqK/X/3GX7nlsicbPeFLhdWrp8v499NLfJilh3IziD+jzKT/fq/wyTrEfe8+/iv284LU1WvDaGklS5ucvlvv1wGxkDAAAUFXIGGSMyuRKT0/nO61DZGVlKTU1VV8dc+mPb65XQmwzvXntJXYPC6fhr1lMTAwbUxmCmpmHmpmFejmXOyNVoWkpJW7Py8tTxqEMNWjYoEybv1UX/3n7E10//Um99/R0JXRrb/dwyqUya+at01i50X2D+piwl//v5evWfKsffjusZeMuVr/Wze0eFk6D/y81C/UyDzUzDzVzqPw8haZ+KHfu0RKHyBhkjKJyzjhPvnpRQXu8mvOOMoj/OmcsBwcAAAjcK//9VLv3HtTZ7aLldrv12eaf9I9Fq5XYvaNxQQOoqMKMYfNAAAAAqgEyhn1oaDiQf8M+wgYAAAgWn/8C+jVQ/bq1tfSddXro2b06mpmt5k0aatzl/fSXP5Z+jdiaxlfker+oXgozBiEDAAAEgculwm8YNQ8ZoxyCnEVpaDiQ279hH1e4BQAAweKuJZ9qZuS4rF93Xdavu93DMENouN0jQCVxu9hDAwAABJHbI19ouJR7xO6R2IKMUTY+l1tyhwb1MZmC5UD+5eBl3IsFAACgVL5aDfiP1Tgtn6T8uk3tHgYqiX9inJcVGgAAIEi89diXC6fnqxVRkEWDiIaGA7FCAwAABF1ILeVFdpDP5bF7JHAgnyRv/Wj5akfaPRRUElZoAACAYPPWbcqEGJySzx2qvMj2kju4GZRLTjmQS6zQAAAAweetH61cd6g8R/bInblf8uXL53NLIbXk84TJ5+aroQl8niDVzFXwP77QcOXXbyFvvRZSSK1gDRMO47/cHCs0AABA0ITWVV7TrvId2S33kT1y5WVKPl/wvq+iygQ1Y7hCCppd9VvKV7dJ0MboxzvKgdiwDwAAVAqXS756zZVXr7mUlyV585Wbm6PDtX9TWOPG8oYG99qmqBy5ublBqpmr4DpEnlpBnzUF5/FPmiJiAACAoAoLV35ke+VHtJHycySfN4jfV1FVgpox3CGVOlGKhoYDuVgODgAAKltIbUlSvtejw9k+RXjqKDSsts2DQlnke7OoGcrNxWVtAQBAZXKHFPwjvq+ayKSasYeGA7FhHwAAAIBg8k+a4rK2AAAAMBkNDQdyF06fAgAAAICAuf0Rg0lTAAAAMBgNDQdiwz4AAAAAwcQeGgAAAKgOaGg4kJs9NAAAAAAEkZs9NAAAAFAN0NBwIPbQAAAAABBM7KEBAACA6oCGhgOxHBwAAABAMPkva8seGgAAADAZDQ0HYoUGAAAAgGAqXKFBxgAAAIC5aGg4kDV7ytZRAAAAAKguyBgAAACoDmhoOJCb2VMAAAAAgsjNKnAAAABUAzQ0HMh/ySmyBgAAAIBg8F9yiowBAAAAk9HQcCD/Cg0WhAMAAAAIBv8KDRIGAAAATEZDw8G8pA0AAAAAQeFfoUHIAAAAgLloaDiQ20XYAAAAABA8bi5rCwAAgGqAhoYD+S84xYZ9AAAAAILBdTxlkDEAAABgMhoaDmSt0LB5HAAAAACqB/bQAAAAQHVAQ8OB/HuCM3sKAAAAQDC4XKzQAAAAgPloaDgQKzQAAAAABBN7aAAAAKA6oKHhQOyhAQAAACC4WKEBAAAA89HQcCIXF7gFAAAAEDyFEYOQAQAAAHPR0HAgf1GIGgAAAACCwS0uawsAAADz0dBwIDbsAwAAABBM1goNMgYAAAAMRkPDgdiwDwAAAEAwuY93NMgYAAAAMBkNDQdiU3AAAAAAwUTGAAAAQHVAQ8OBrNlTNo8DAAAAQPXgImMAAACgGqCh4UTHp08xewoAAABAMLjIGAAAAKgGaGg4UOH1bQkbAAAAAALHHhoAAACoDmhoOJD/+raEDQAAAADBwB4aAAAAqA5oaDiQS/7r2xI2AAAAAATOmjRl6ygAAACAwNDQcCD38bTB5CkAAAAAwcBlbQEAAFAd0NBwINfxsMFycAAAAADB4GLSFAAAAKoBGhoOZIUNe4cBAAAAoJrwT5risrYAAAAwGQ0NB/LvocEKDQAAAADBULgpuK3DAAAAAAJCQ8OB2EMDAAAAQDCxhwYAAACqAxoaDsQeGgAAAACCyX9ZW1ZoAAAAwGQ0NBzIXxSyBgAAAIBgcIs9NAAAAGA+GhoO5F+hIbEkHAAAAEDgWKEBAACA6oCGhgO5ivyZvAEAAAAgWJgwBQAAAJPR0HAgVmgAAAAACCa3y1X6SQAAAIDD0dBwoKJZgyXhAAAAAAJVeMkpAgYAAADMZWtDY9q0aYqLi1NERIS2bNli3e7z+TRnzhz17NlTCQkJGjJkiHVs5syZOvfcc9W3b19ddNFF+vDDD61jc+bMUbt27ZSYmKjExERNmDCh2PPNnTtX8fHxio+P1+zZsyv/BVZQ0dlTbNoHAAAAlA354tT8GYN+BgAAAEwWYueTDxs2TJMnT9bgwYOL3f7kk09qy5Yt+vTTTxUWFqZff/3VOpaQkKCpU6eqTp062rx5sy6//HJ9//33ql27tiTp6quvPmmYSE5OVlJSkpKTkxUSEqJBgwYpISFBF198ceW+yAoouhicFRoAAABA2ZAvTs2fMbxMmAIAAIDBbG1o9O3b96S3P/7441q5cqXCwsIkSc2bN7eOXXLJJdafu3TpIq/Xq99++00tW7Y87XMtW7ZMY8aMUXh4uCRp3LhxWrp0aamBIysrq0yvJRhycnIkSXm5udZtmZlZUqinysaA8vHXzP9vOB81Mw81Mwv1Mg81M4/dNfP/h34nMiFfSPZkDJ/XK0nKzc2r0udH+dn9GUf5UC/zUDPzUDPzUDPz2Fmz8uYLWxsaJ5ORkaH9+/dr5cqVWrFihSRp4sSJGjlyZIlzFy1apNatWxcLG0lJSXr//fcVGRmpqVOnqn///pKk1NTUYgEnNjZWy5cvL3U8u3fvVn5+fqAvq1z27dtr/Tl1Z6rqhNDQcLq0tDS7h4ByombmoWZmoV7moWbmsaNmHo9Hbdu2rfLnDYTT8oVkT8Y4duyYJOlQRoZSU1Or9LlRMfy9bBbqZR5qZh5qZh5qZp6qrllF8oXjGhp5eXnKyclRZmam1qxZo9TUVA0cOFCdOnVS586drfM+/PBDPfzww1q2bJl12/jx4zVlyhSFhoZq3bp1GjdunN577z3FxsZKklxF96Yo48VjW7RoEaRXVrqcnBylpaWpeVSUdVvLltEKD3NcmXCcv2ZRUVHWjD84GzUzDzUzC/UyDzUzDzUrH6flC8mejFGvXsFKkvr16ysmJqbKnh/lx2fcLNTLPNTMPNTMPNTMPCbVzHH/pTwyMlL16tXT6NGjJUkxMTE677zzlJKSYgWOtWvXatKkSVqyZInat29v3TeqSCOgd+/e6tq1q1JSUhQbG6uYmBjt2LHDOp6amqro6OhSx2PHkvqib5qwWrVUu1ZolY8B5RMWFuboyy+gJGpmHmpmFuplHmpmHmpWNk7LF5I9GSPEU7Dq2+Xx8L4xBJ9xs1Av81Az81Az81Az85hQM7fdAziZUaNGac2aNZKk9PR0bdiwQV26dJFUsPneH//4Ry1evFhxcXHF7rdr1y7rz1u3btXmzZut+w0bNkxLlizR0aNHlZ2drUWLFmnUqFFV9IrKp+im4OWZ6QUAAACgpJqeLyTJdTxlEC8AAABgMltXaEyZMkWrV69WWlqahg8frvDwcKWkpGjGjBmaOHGinnnmGUnSXXfdpfj4eEnSbbfdpuzsbE2aNMl6nAULFqhLly6aNWuWvvrqK3k8Hnk8Hs2bN0/t2rWTJPXr10/Dhw9Xnz59JBWEmgEDBlTtCy4jd5Gl614SBwAAAFAm5ItTcx+PGEyYAgAAgMlc6enpfKN1iKysLKWmpuqMli3V+tGCa/f++Kcr1KhOLZtHhlPx1ywmJsbxy7FQgJqZh5qZhXqZh5qZh5qhPPzvlyXbM/R/677ThHM6as6gXnYPC6fBZ9ws1Ms81Mw81Mw81Mw8JtXMkZecquncxTYXtHEgAAAAAKoFf8JghQYAAABMRkPDgYruocElpwAAAAAEynV80hT5AgAAACajoeFArqIrNGwcBwAAAIDqwdpDw95hAAAAAAGhoeFQ/pYGM6gAAAAABMolVmgAAADAfDQ0HMq/jwZ5AwAAAECgrBUa5AsAAAAYjIaGQ7mswEHiAAAAABAY9tAAAABAdUBDw6GsFRo2jwMAAACA+dhDAwAAANUBDQ2HYg8NAAAAAMHjv6Qt+QIAAADmoqHhUC4XgQMAAABAcPgnTBEvAAAAYDIaGg7FknAAAAAAwUK+AAAAQHVAQ8OhXGLTPgAAAADBwabgAAAAqA5oaDiUyz+DirwBAAAAIEDWCg0CBgAAAAxGQ8OhrBlULAoHAAAAEKDCFeA2DwQAAAAIAA0Nh3Jbm4LbPBAAAAAAxrNWgDNhCgAAAAajoeFQx/MGS8IBAAAABKxwDw2bBwIAAAAEgIaGQ1krNGweBwAAAADz+YMfKzQAAABgMhoaDuVfEu5lhQYAAACAALm4pC0AAACqARoaDlV4ySlbhwEAAACgGuCStgAAAKgOaGg4VOElpwgcAAAAAALDJW0BAABQHdDQcCrrklP2DgMAAACA+bikLQAAAKoDGhoOZc2gInAAAAAACBB7aAAAAKA6oKHhUP5r3LJCAwAAAECgCvMFAQMAAADmoqHhUOyhAQAAACBY2EMDAAAA1QENDYdihQYAAACAYGGFBgAAAKoDGhoO5Z9BxUVuAQAAAASqMF/YOw4AAAAgEDQ0HMq/aR8rNAAAAAAEyt/PYIUGAAAATEZDw6H8S8LZQwMAAABAsJAuAAAAYDIaGg5VuEKDyAEAAAAgMG7yBQAAAKoBGhoOxRYaAAAAAIKFfAEAAIDqgIaGQ/lnUJE3AAAAAASqMF+QMAAAAGAuGhoO5d9DgyXhAAAAAAJVmC9sHQYAAAAQEBoaDmXNoCJwAAAAAAhQYb4gYAAAAMBcNDQcyn+NW1ZoAAAAAAgW8gUAAABMRkPDofwzqAAAAAAgUOQLAAAAVAc0NByKPTQAAAAABAsrwAEAAFAd0NBwKBd7aAAAAAAIEv+EKeIFAAAATEZDw6GsGVREDgAAAAAB8l9yihUaAAAAMBkNDYdyyb9Cg8ABAAAAIDD+CVPECwAAAJiMhoZDuf2Bw95hAAAAAKgG3P4JUzaPAwAAAAgEDQ2HcrEkHAAAAECwsCk4AAAAqgEaGg7lZkk4AAAAgCDx76FBvgAAAIDJaGg4lH8PDWZQAQAAAAjU8flS7NEHAAAAo9HQcCj/Cg0AAAAACJS1QsPmcQAAAACBoKHhUKzQAAAAABAsLvbQAAAAQDVAQ8OhXOyhAQAAACBICvfQIGAAAADAXDQ0HMrlYoUGAAAAgODyEi8AAABgMBoaDmVt2mfrKAAAAABUB/5L2vpIGAAAADAYDQ2HYkk4AAAAgGBxc0lbAAAAVAM0NByqcNM+e8cBAAAAwHxc0hYAAADVga0NjWnTpikuLk4RERHasmWLdbvP59OcOXPUs2dPJSQkaMiQIdaxY8eO6YYbblD37t3Vs2dPrVixwjrm9Xo1depUxcfHq3v37nr66aeLPd/cuXMVHx+v+Ph4zZ49u/JfYACsFRosCQcAAADKhHxxatYKDXuHAQAAAAQkxM4nHzZsmCZPnqzBgwcXu/3JJ5/Uli1b9OmnnyosLEy//vqrdezxxx9XWFiYUlJStG3bNg0cOFD9+/dXRESEXnnlFX3//ffasGGDMjIy1L9/f/Xv318dOnRQcnKykpKSlJycrJCQEA0aNEgJCQm6+OKLq/pll4l/Dw1WaAAAAABlQ744NWsPDVZoAAAAwGC2NjT69u170tsff/xxrVy5UmFhYZKk5s2bW8eWLVumf//735Kk1q1bq0+fPlq1apXGjh2rZcuWafz48fJ4PGrUqJFGjBihpKQk3XvvvVq2bJnGjBmj8PBwSdK4ceO0dOnSUgNHVlZWMF5qmeTk5Fj/9geNnJycKh0DyqdozWAGamYeamYW6mUeamYeu2tWu3ZtW563LEzIF5I9GSM/L0+S5PX6yBcOZ/dnHOVDvcxDzcxDzcxDzcxjZ83Kmy9sbWicTEZGhvbv36+VK1day70nTpyokSNHSpJ27typmJgY6/zY2Fjt3LnzlMdSUlIkSampqcUCTmxsrJYvX17qeHbv3q38/PzAX1g5pKWlKft4yNj/229KTWWrE6dLS0uzewgoJ2pmHmpmFuplHmpmHjtq5vF41LZt2yp/3kA4LV9I9mSMgwcPSJJy8nKVmppapc+NiuHvZbNQL/NQM/NQM/NQM/NUdc0qki8c19DIy8tTTk6OMjMztWbNGqWmpmrgwIHq1KmTOnfuLKlwQzup5JLpih47lRYtWpT7NVRUTk6O0tLSFBUVpbp1dkg6pMjIyGIhCs5StGb+GX9wNmpmHmpmFuplHmpmHmpWPk7LF5I9GaNx48aSJI8nhHzhcHzGzUK9zEPNzEPNzEPNzGNSzRzX0IiMjFS9evU0evRoSVJMTIzOO+88paSkqHPnzoqOjtaOHTvUpEkTSQUzoy655BJJso716NHDOhYdHW09zo4dO6znKXrsdOxYUh8WFiaPp2BVhick1NHL+lEgLCyMOhmGmpmHmpmFepmHmpmHmpWN0/KFZFPGCA2VVLApOO8bM/AZNwv1Mg81Mw81Mw81M48JNXPktYxGjRqlNWvWSJLS09O1YcMGdenSRVLBRn8LFy6UJG3btk3Jycm67LLLrGPPPfec8vPzdfDgQb3++uvWUvJhw4ZpyZIlOnr0qLKzs7Vo0SKNGjXKhldXNv7ZXmzaBwAAAASGfCH515IQLwAAAGAyW1doTJkyRatXr1ZaWpqGDx+u8PBwpaSkaMaMGZo4caKeeeYZSdJdd92l+Ph4SdLtt9+uW2+9Vd27d5fb7da8efPUqFEjSdLVV1+tlJQU9ezZ0zq3Y8eOkqR+/fpp+PDh6tOnj6SCUDNgwIAqfsVl5z7e0PASOAAAAIAyIV+cmpUvRMAAAACAuVzp6el8o3WIrKwspaamKiYmRhNWrNdbP+zUI5edq+t6tLd7aDiFojVz+nIsFKBm5qFmZqFe5qFm5qFmKA//+yWjVn0NevFdRdWro2/uGGn3sHAafMbNQr3MQ83MQ83MQ83MY1LNHHnJKRTOoGJJOAAAAIBAWZe0ZYUGAAAADEZDw6GO5w2WhAMAAAAIGHtoAAAAoDqgoeFQ/hUa9DMAAAAABKpwBTgBAwAAAOaioeFQ/hlUXgIHAAAAgAAV5gtbhwEAAAAEhIaGQxVe4xYAAAAAAuO2FoCTMAAAAGAuGhoOxQoNAAAAAMHinzDFCg0AAACYjIaGQ1lbaBA4AAAAAASocFNwAgYAAADMRUPDodzWDCoCBwAAAIDAuMgXAAAAqAZoaDiUNYPK1lEAAAAAqA6sFeD2DgMAAAAICA0Nh/Kv0GBJOAAAAIBAuUVHAwAAAOajoeFQLAkHAAAAECz+FRrkCwAAAJiMhoZDuV2lnwMAAAAAZWGtALd5HAAAAEAgaGg4lEus0AAAAAAQHP75UuQLAAAAmIyGhkNZm/aRNwAAAAAEyGXt0WfzQAAAAIAA0NBwKPbQAAAAABAs7KEBAACA6oCGhkP599AgbgAAAAAIFHtoAAAAoDqgoeFQ7KEBAAAAIFjYQwMAAADVAQ0Nh2IPDQAAAADB4ir9FAAAAMDxaGg4FEvCAQAAAASLP19Iko9ZUwAAADAUDQ2H8scNwgYAAACAQBXpZ3DZKQAAABiLhoZDWSs0CBsAAAAAAuQqukLDxnEAAAAAgaCh4VD+vOElbQAAAAAIUNE9NFihAQAAAFPR0HAol7WHBmEDAAAAQGCK76Fh40AAAACAANDQcCh/3GCFBgAAAIBAsYcGAAAAqgMaGg7lZoUGAAAAgCBxiz00AAAAYD4aGg7FHhoAAAAAgoUVGgAAAKgOaGg4lOv4DCofYQMAAABAwNhDAwAAAOajoeFQ7uN5g6wBAAAAIFBuV+nnAAAAAE5HQ8OhWKEBAAAAIFhcRa45xSWnAAAAYCoaGg5lrdAgawAAAAAIUNEVGkyaAgAAgKloaDiUfwYVs6cAAAAABMqlois0bBwIAAAAEAAaGg7lb2iQNQAAAAAEqtgKDVIGAAAADEVDw6H8eYMVGgAAAAACVXwPDRsHAgAAAASAhoZDuf0rNAgbAAAAAILA39JgDw0AAACYioaGQ/knULFCAwAAAEAwFO7TZ/NAAAAAgAqioeFQ1uwpW0cBAAAAoLoozBikDAAAAJiJhoZDua3ZU4QNAAAAAIHjsrYAAAAwHQ0Nh3KxRAMAAABAEPkzBntoAAAAwFQ0NBzKmj1FRwMAAABAEBRmDAAAAMBMNDQcjg37AAAAAASDfxE4l7UFAACAqWhoOFTh9W0JGwAAAAACxx4aAAAAMB0NDYdysSk4AAAAgGA6vkSDjAEAAABT0dBwKLd/wz57hwEAAACgmmAPDQAAAJiOhoZDucQKDQAAAADBwx4aAAAAMB0NDYdy+VdokDUAAAAABIGLFRoAAAAwHA0Nh/IvB/cSNwAAAAAEgXVZW2ZNAQAAwFA0NBzKvxycfgYAAACAYPBf1pZ+BgAAAExFQ8Oh2LAPAAAAQDBZKzRIGQAAADAUDQ2nOh422LAPAAAAQDD499AgYwAAAMBUFW5oHDhwQH//+981evRojR49Wg899JAOHDhQrseYNm2a4uLiFBERoS1btli3DxkyRN26dVNiYqISExM1f/5869i1115r3Z6YmKhGjRpp9erVkqQ5c+aoXbt21rEJEyYUe765c+cqPj5e8fHxmj17dkVfepVwsxwcAAAANQj5ovK5rD007B0HAAAAUFEhFbnTzp07NWjQIO3Zs8e67Z133tFLL72k//73v2rZsmWZHmfYsGGaPHmyBg8eXOLYQw89dNLbX3zxRevPKSkpGjVqlC6++GLrtquvvvqkYSI5OVlJSUlKTk5WSEiIBg0apISEhGL3dRIXKzQAAABQQ5AvqoZ/Dw0yBgAAAExVoYbGrFmztHv3brndbrVv316S9OOPP2r37t2aPXu2nnjiiTI9Tt++fSvy9JZFixbpqquuUq1atUo9d9myZRozZozCw8MlSePGjdPSpUtLDRxZWVkBjbE8cnJyrH/n5+VJkvLz86t0DCifojWDGaiZeaiZWaiXeaiZeeyuWe3atYP+mDUpX0j2ZYzjc6aUnZ1DxnAwuz/jKB/qZR5qZh5qZh5qZh47a1befFGhhsb777+vOnXq6K233lK3bt0kSV9++aUuvfRSvffeexV5yBJmzJihmTNnqmPHjnrggQfUunXrYsezsrK0dOlSazm4X1JSkt5//31FRkZq6tSp6t+/vyQpNTW1WMCJjY3V8uXLSx3H7t27lZ+fH/gLKoe0tDQdPHhQknQ0M1OpqalV+vwov7S0NLuHgHKiZuahZmahXuahZuaxo2Yej0dt27YN+uPWpHwh2ZcxvMefc8+vv6phzuEqfX6UH38vm4V6mYeamYeamYeamaeqa1aRfFGhhsbBgwfVvn17K2xIUnx8vFq3bq2tW7dW5CGLWbBggaKjo+Xz+bRw4UKNHj1a69evL3bOihUrdOaZZ6pLly7WbePHj9eUKVMUGhqqdevWady4cXrvvfcUGxsrqXATPEnylXGZdYsWLQJ+PWWVk5OjtLQ0RUVFqUl6vqRfVLt2bcXExFTZGFA+RWsWFhZm93BQBtTMPNTMLNTLPNTMPNWxZjUpX0j2ZYzQkBBJOWoWFaWY5o2qbAwon+r4Ga/OqJd5qJl5qJl5qJl5TKpZhRoaUVFR+umnn/TWW2/p0ksvlSStXr1aP/30k6KiogIeVHR0tKSCgHDTTTdp+vTpOnDggCIjI61zXnrpJV1zzTUlxuXXu3dvde3aVSkpKYqNjVVMTIx27NhhHU9NTbWe53QqY0l9acLCwhQWFipJcrnctowB5RMWFkadDEPNzEPNzEK9zEPNzFOdalaT8oVkX8ZwuwsaMKGhodXmvVOdVafPeE1AvcxDzcxDzcxDzcxjQs3cFbnT4MGDlZubq7Fjxyo6OlrR0dEaN26c8vPzrQBSUXl5edq7d6/18/Lly9W0adNiYWPbtm3auHGjRo0aVey+u3btsv68detWbd682ZphNWzYMC1ZskRHjx5Vdna2Fi1aVOL+TuLfsM8nNuwDAABA9Ua+qBr+9SQkDAAAAJiqQis07r//fn3yySf69ttvdfToUev2s846S/fdd1+ZH2fKlClavXq10tLSNHz4cIWHh2vt2rW66qqrCjatc7nUuHFjLVmypNj9Fi1apKFDh6pBgwbFbp81a5a++uoreTweeTwezZs3T+3atZMk9evXT8OHD1efPn0kSaNGjdKAAQMq8vKrxPHJUyrHynUAAADASOSLquE+foksMgYAAABM5UpPT6/Q19ns7GwtXbpUKSkpkqTu3bvriiuuUK1atYI6wJokKytLqampiomJ0Yof92ji8k90QZvmWjr2YruHhlMoWjOnL8dCAWpmHmpmFuplHmpmnupaM/JF5Sj6fun3zH/1y8EjWn3dQJ0b09TuoeEUqutnvLqiXuahZuahZuahZuYxqWYVWqGxZMkSNWnSRGPHjtXYsWOt27dv367MzEx16tQpaAOsqawVGvYOAwAAAKh05Iuq4d/EnMvaAgAAwFQV2kNj4sSJmjt3bonbb7zxRvXt2zfgQaFwDw0v68EBAABQzZEvqoZ/Dw0vEQMAAACGqlBD41QOHjwoH/8BPijYQwMAAAA1HfkiuAr30OB3CgAAADOV65JT3bp1s/68adOmYj9nZmZq//79ioyMDN7oajD/cnBWaAAAAKC6Il9UreMRgxUaAAAAMFa5Gho7duyQVPAf27Ozs62fixo6dGhwRlbDWbOnbB4HAAAAUFnIF1XLzR4aAAAAMFy5Ghp33323JOmhhx5Sy5YtNW7cOOtY3bp11b59ew0ePDi4I6yh/Ne3ZTk4AAAAqivyRdUqzBi2DgMAAACosHI1NO655x5J0scff6yzzjrL+hnB52IPDQAAAFRz5Iuq5WIPDQAAABiuXA0Nv1WrVhX7eePGjfr000/VpUsXXXDBBcEYV43nXw7uZTk4AAAAqjnyRdWwMgYRAwAAAIaqUEPjpptuUlJSklauXCmfz6ff/e538nq9kqR//vOfuuaaa4I6yJqMyVMAAACo7sgXVcO65BSTpgAAAGAod0XutHHjRoWHh6t379567bXXlJ+fr9atW8vn82nhwoXBHmONxIZ9AAAAqCnIF1XDuuSUzeMAAAAAKqpCDY09e/YoJiZGLpdLmzdvVqdOnbRx40a1atVK27ZtC/IQayb/HhosBwcAAEB1R76oGoUZg5ABAAAAM1WooeF2u5WTkyNJ+vHHH3XWWWdJkurXr6/8/Pzgja4Gc7NhHwAAAGoI8kXVKMwYNg8EAAAAqKAKNTRat26trVu3qkePHjp8+LC6d+8uSfr111/VvHnzoA6wpvJf35YVGgAAAKjuyBdVozBjEDIAAABgpgo1NCZOnChJ+uWXX9SwYUONHj1a33zzjfbv368ePXoEdYA1FXtoAAAAoKYgX1QNN3toAAAAwHAhFbnT73//e8XFxennn39W79691axZM3m9Xr3xxhtq1apVsMdYI7nEcnAAAADUDOSLquHfQ4PL2gIAAMBUFWpoSNLZZ5+tdu3a6bvvvtPu3bvVqVMnnX/++cEcW41G2AAAAEBNQr6ofP5LThExAAAAYKoKXXJKkh599FGdeeaZuuiii3TRRRfpzDPP1D/+8Y9gjq1G8y8H5/q2AAAAqAnIF5WPjAEAAADTVaihsWjRIs2aNUvHjh2Tz+eTz+fTsWPHNGvWLL388svBHmONRtQAAABAdUe+qFpkDAAAAJiqQg2NhQsXSpIuv/xyPffcc3ruuec0ZMgQ+Xw+LViwIKgDrKmsDftIGwAAAKjmyBdVozBjEDIAAABgpgrtofHDDz8oNjZWL730knXb8OHD1bVrV/3www9BG1xN5t9Dg+XgAAAAqO7IF1XDxSWnAAAAYLgKrdDweDzKzs5WXl6edVtubq6ys7Pl8XiCNriazJo9ZfM4AAAAgMpGvqga7uOTpsgYAAAAMFWFVmjExcVp/fr1uuyyyzR06FBJ0ptvvql9+/bpvPPOC+oAa6rjWYPZUwAAAKj2yBdVwyVWaAAAAMBsFWpo3HbbbVq3bp2++OILffHFF5IKr8N6++23B290NRh7aAAAAKCmIF9UDWuFBhkDAAAAhqrQJacuu+wyPfnkk2rZsqV8Pp98Pp+io6P11FNP6dJLLw32GGsklxU2SBsAAACo3sgXVcPFpuAAAAAwXLlWaGzfvl2ffPKJ2rVrp9GjR2v06NHav3+/JOnnn3/W1q1btW3bNrVu3boyxlqj+JeDEzUAAABQXZEvqpb/srZkDAAAAJiqXCs0/vnPf2rSpEk6fPiwdVuTJk3UpEkTZWZmatKkSXrssceCPcYayb8cnOvbAgAAoLoiX1Qt/2VtyRgAAAAwVbkaGh999JHq16+viy66qMSx888/Xw0bNtRHH30UtMHVaCwHBwAAQDVHvqhi7KEBAAAAw5WrobF7925FR0ef8njLli21Z8+egAeFIhv22TsMAAAAoNKQL6qWf4UGGQMAAACmKldDIyQkRKmpqfJ6vSWO5efna8eOHQoNDQ3a4Goy/x4aLAcHAABAdUW+qFr+PTTIGAAAADBVuRoaHTp00JEjRzRr1qwSxx588EEdPnxYHTp0CNrgajJWaAAAAKC6I19ULWuFBiEDAAAAhgopz8nDhw/Xhg0b9M9//lPvvvuuEhIS5HK5tG7dOm3atEkul0sjRoyorLHWKC427AMAAEA1R76oWscjBhkDAAAAxipXQ2PChAl69dVXtXnzZn399df6+uuvrWM+n0/dunXThAkTgj7Imsi/QoMlGgAAAKiuyBdVq3APDUIGAAAAzFSuS07VqlVLK1as0BVXXCGPxyOfzyefzyePx6Mrr7xSb7zxhsLCwiprrDUKe2gAAACguiNfVC1rzhQRAwAAAIYq1woNSYqIiNDChQv1yCOPaOvWrfL5fGrXrp0aNGhQGeOrsQpnTwEAAADVF/mi6rBCAwAAAKYrd0PDr0GDBurevXswx4IiuL4tAAAAahLyRRWwMoa9wwAAAAAqqlyXnELVYTk4AAAAgGDyX9bWR8gAAACAoWhoOJSLS04BAAAACCL38VlTZAwAAACYioaGQ3HJKQAAAADB5F+hQcYAAACAqWhoOJSb5eAAAAAAgshaoUHEAAAAgKFoaDiUi7ABAAAAIIj8l7VlhQYAAABMRUPDodzWHhqEDQAAAACBc7NPHwAAAAxHQ8Ohji/QkJe0AQAAACAI/BmDy9oCAADAVDQ0HMqaPUXYAAAAABAEhRnD5oEAAAAAFURDw6EKr29r80AAAAAAVA/Hl2iwhwYAAABMRUPDoazl4FzhFgAAAEAQFGYMAAAAwEw0NByKFRoAAAAAgsltZQxCBgAAAMxEQ8OhjmcN9tAAAAAAEBSFGcPecQAAAAAVRUPDoawN+2weBwAAAIDqoTBjkDIAAABgJhoaDuUq8mdWaQAAAAAIlD9jcFlbAAAAmMrWhsa0adMUFxeniIgIbdmyxbp9yJAh6tatmxITE5WYmKj58+dbx2655RZ17tzZOjZ9+nTrmNfr1dSpUxUfH6/u3bvr6aefLvZ8c+fOVXx8vOLj4zV79uzKf4EB8M+eklilAQAAAJQF+eL0rBUaTJgCAACAoULsfPJhw4Zp8uTJGjx4cIljDz300Elvl6Q77rhDN910U4nbX3nlFX3//ffasGGDMjIy1L9/f/Xv318dOnRQcnKykpKSlJycrJCQEA0aNEgJCQm6+OKLg/66gqFIP0Nen69YgwMAAABASeSL03PR0AAAAIDhbG1o9O3bN6iPt2zZMo0fP14ej0eNGjXSiBEjlJSUpHvvvVfLli3TmDFjFB4eLkkaN26cli5dWmrgyMrKCuoYTycnJ8f6d4638PbMzCyFerg6mBMVrRnMQM3MQ83MQr3MQ83MY3fNateubcvzloUJ+UKyL2N48/MlSbl5eVU6BpSP3Z9xlA/1Mg81Mw81Mw81M4+dNStvvrC1oXE6M2bM0MyZM9WxY0c98MADat26tXVs/vz5ev755xUTE6P77rtPXbt2lSTt3LlTMTEx1nmxsbFKSUmRJKWmphYLOLGxsVq+fHmp49i9e7fyj3/xryppaWk6kpNn/bwjNVVhNDQcLS0tze4hoJyomXmomVmol3momXnsqJnH41Hbtm2r/HmDwSn5QrIxYxw5LElKz8hQampqlT4/yo+/l81CvcxDzcxDzcxDzcxT1TWrSL5wZENjwYIFio6Ols/n08KFCzV69GitX79ekjR9+nQ1b95cbrdbb775pq688kpt2LBB9erVk1S4jFoquZT6dMdOpUWLFoG+nDLLyclRWlqaoqKiFOFzSdooSWoZHa3aIZ4qGwfKrmjNwsLC7B4OyoCamYeamYV6mYeamYealZ+T8oVkX8ZoUP+ApDTVr1+/WKMGzsJn3CzUyzzUzDzUzDzUzDwm1cyRDY3o6GhJBQHhpptu0vTp03XgwAFFRkYW+/I/dOhQ/fWvf9VPP/2k+Ph4RUdHa8eOHerRo4ekgllT/seKiYnRjh07rPsWPXY6diypDwsLk9td2MAIq1VLtUMdWSocFxYW5ujLL6AkamYeamYW6mUeamYealZ2TsoXkn0ZIzQ0VJLk9nh47xiAz7hZqJd5qJl5qJl5qJl5TKiZ465jlJeXp71791o/L1++XE2bNlVkZKQkadeuXdaxzz//XAcOHFCbNm0kFWwC+Nxzzyk/P18HDx7U66+/rpEjR1rHlixZoqNHjyo7O1uLFi3SqFGjqvCVlY9LRWd72TgQAAAAwGDki0L+hEG+AAAAgKlsnfY/ZcoUrV69WmlpaRo+fLjCw8O1du1aXXXVVcrJyZHL5VLjxo21ZMkS6z4TJ07Uvn375Ha7VadOHT3//PNq2LChJOnqq69WSkqKevbsKUm6/fbb1bFjR0lSv379NHz4cPXp00eSNGrUKA0YMKCKX3HZuQv7GfKJxAEAAACUhnxxeu7jl8giXQAAAMBUtjY05s2bp3nz5pW4/YMPPjjlfU630Z7H4znp4/ndfffduvvuu8s1RrsUvx6vjQMBAAAADEG+OD1/xPASMAAAAGAox11yCgWKrdAgcAAAAAAIkPv4RaeIFwAAADAVDQ2HKrqHBjOoAAAAAATKv0KDCVMAAAAwFQ0Nhyq+hwYAAAAABIY9NAAAAGA6GhoOVXQPDVZoAAAAAAgW8gUAAABMRUPDoYos0OAatwAAAAACZq3QIGAAAADAUDQ0HIoVGgAAAACCyR8xvMQLAAAAGIqGhoP5WxrkDQAAAACBcsm/hwYJAwAAAGaioeFghUvCbR4IAAAAAOO5j8+YIl8AAADAVDQ0HMxlBQ4SBwAAAIDA+C9ryyVtAQAAYCoaGg5mrdCweRwAAAAAzGet0LB3GAAAAECF0dBwMP8eGsygAgAAABAoaw8N8gUAAAAMRUPDwQr30CBwAAAAAAiMiz00AAAAYDgaGg7mDxxeAgcAAACAALGHBgAAAExHQ8PBXNYeGgQOAAAAAIFhjz4AAACYjoaGgxXuoWHrMAAAAABUA+zRBwAAANPR0HAwVmgAAAAACBb20AAAAIDpaGg4mNu6xq3NAwEAAABgPDd7aAAAAMBwNDQczL8knClUAAAAAALlzxekCwAAAJiKhoaDsWkfAAAAgGBxc0lbAAAAGI6GhoP5r3HLknAAAAAAgWIPDQAAAJiOhoaDWTOoCBwAAAAAAuSy8gUBAwAAAGaioeFg/mvcskIDAAAAQKAK84WtwwAAAAAqjIaGg7nYQwMAAABAkLCHBgAAAExHQ8PB2EMDAAAAQLC4jq/RYIUGAAAATEVDw8H8S8LpZwAAAAAIVOGm4AQMAAAAmImGhoP5l4SzQgMAAABAoMgXAAAAMB0NDQezVmjYOgoAAAAA1QH5AgAAAKajoeFg7sI14fYOBAAAAIDxCvOFveMAAAAAKoqGhoO5XGzaBwAAACA4/P0MLjkFAAAAU9HQcDC3NYGKwAEAAAAgMP4JU6QLAAAAmIqGhqOxaR8AAACA4PDvoUG+AAAAgKloaDiYmy00AAAAAASJfw8N8gUAAABMRUPDwQr30CBxAAAAAAgMe2gAAADAdDQ0HMy/JJy4AQAAACBQ5AsAAACYjoaGg7lZoQEAAAAgSMgXAAAAMB0NDQdzsYcGAAAAgCBxWXtoEDAAAABgJhoaDuafQQUAAAAAgXITLwAAAGA4GhoO5s8bLAkHAAAAECiXuOQUAAAAzEZDw8Hc1pJwmwcCAAAAwHjWJW3tHQYAAABQYTQ0nOx44PASOQAAAAAEyMWm4AAAADAcDQ0Hc7NpHwAAAIAg8e+hQbwAAACAqWhoOFjhHhq2DgMAAABANcAeGgAAADAdDQ0Hs1ZocMkpAAAAAAFys4cGAAAADEdDw8H8m/axQgMAAABAoNhDAwAAAKajoeFg/iXh7KEBAAAAIFD+S9qyRAMAAACmoqHhYGzaBwAAACBY3KzQAAAAgOFoaDiYtUKDKVQAAAAAAuRfoUG6AAAAgKloaDiYixUaAAAAAILEv4cGl7QFAACAqWhoOBib9gEAAAAIFv+EKS/xAgAAAIaytaExbdo0xcXFKSIiQlu2bLFuHzJkiLp166bExEQlJiZq/vz51rGZM2fq3HPPVd++fXXRRRfpww8/tI7NmTNH7dq1s+43YcKEYs83d+5cxcfHKz4+XrNnz678Fxgg/zVuyRsAAABA6cgXp1eYL0gYAAAAMFOInU8+bNgwTZ48WYMHDy5x7KGHHjrp7QkJCZo6darq1KmjzZs36/LLL9f333+v2rVrS5Kuvvrqk4aJ5ORkJSUlKTk5WSEhIRo0aJASEhJ08cUXB/+FBYn/Gres0AAAAABKR744vcJ8YeswAAAAgAqztaHRt2/fct/nkksusf7cpUsXeb1e/fbbb2rZsuVp77ds2TKNGTNG4eHhkqRx48Zp6dKlpQaOrKysco+xonJycor9Wz7v8Z9zq3QcKLsSNYPjUTPzUDOzUC/zUDPz2F0z/3/odyIT8oVkX8bIy82VJHm9XvKFg9n9GUf5UC/zUDPzUDPzUDPz2Fmz8uYLWxsapzNjxgzNnDlTHTt21AMPPKDWrVuXOGfRokVq3bp1sbCRlJSk999/X5GRkZo6dar69+8vSUpNTS0WcGJjY7V8+fJSx7F7927l5+cH/oLKIS0tTZKUnZ0tSdq/f79SU6t0CCgnf81gDmpmHmpmFuplHmpmHjtq5vF41LZt2yp/3mBwSr6Q7MsYe/cdliTl5OYqlYDhePy9bBbqZR5qZh5qZh5qZp6qrllF8oUjGxoLFixQdHS0fD6fFi5cqNGjR2v9+vXFzvnwww/18MMPa9myZdZt48eP15QpUxQaGqp169Zp3Lhxeu+99xQbGyupcJNtSfKV8TJOLVq0CMIrKpucnBylpaUpKipKYWFhqlN7m6QMNWrcWDExMVU2DpTdiTWD81Ez81Azs1Av81Az81Cz8nNSvpDsyxjN3XUlfStPSAj5wsH4jJuFepmHmpmHmpmHmpnHpJo5sqERHR0tqSAg3HTTTZo+fboOHDigyMhISdLatWs1adIkLVmyRO3bt7fuFxUVZf25d+/e6tq1q1JSUhQbG6uYmBjt2LHDOp6ammo9z+nYsaQ+LCxMtWvXVojHI0kKCQlx9NJ+FNYM5qBm5qFmZqFe5qFm5qFmZeekfCHZmDFq1Tr+k4v3jgH4jJuFepmHmpmHmpmHmpnHhJq57R7AifLy8rR3717r5+XLl6tp06ZW2EhOTtYf//hHLV68WHFxccXuu2vXLuvPW7du1ebNm9WlSxdJBRsELlmyREePHlV2drYWLVqkUaNGVcErqjj/hC/2BAcAAAAqhnxRqDBfEDAAAABgJltXaEyZMkWrV69WWlqahg8frvDwcK1du1ZXXXWVcnJy5HK51LhxYy1ZssS6z2233abs7GxNmjTJum3BggXq0qWLZs2apa+++koej0cej0fz5s1Tu3btJEn9+vXT8OHD1adPH0nSqFGjNGDAgKp9weXkX8LuE4EDAAAAKA354vQK8wUAAABgJlsbGvPmzdO8efNK3P7BBx+c8j4bN2485bEnn3zytM9399136+677y7z+OzmvyKvl8QBAAAAlIp8cXqF+YKAAQAAADM57pJTKOT2z6AicAAAAAAIUGG+sHkgAAAAQAXR0HAw/5JwVmgAAAAACJR/Dw0vF50CAACAoWhoOJjbv2kfgQMAAABAgFihAQAAANPR0HAwl/wrNEgcAAAAAALj30ODS9oCAADAVDQ0HMxlrdAAAAAAgMCQLwAAAGA6GhoOxqbgAAAAAILF7WIFOAAAAMxGQ8PBCpeE2zoMAAAAANWA/5K25AsAAACYioaGg7n8KzRsHgcAAAAA87mtS06RMAAAAGAmGhoO5l+hwZJwAAAAAAGzLjll8zgAAACACqKh4WCFe2jYPBAAAAAAxrNWaBAwAAAAYCgaGg52vJ/BCg0AAAAAAfPvoUG+AAAAgKloaDiYmz00AAAAAARJ4R4aAAAAgJloaDgYe2gAAAAACBb/Cg0uOQUAAABT0dBwMJeLwAEAAAAgOFzWHhr2jgMAAACoKBoaDuYmcAAAAAAIEv8lbVkBDgAAAFPR0HAwa0k4V7kFAAAAECD/JW1JFwAAADAVDQ0HY0k4AAAAgGBxW5e0tXkgAAAAQAXR0HAwF0vCAQAAAATL8QlT5AsAAACYioaGg1l7aNg7DAAAAADVgLVCw+ZxAAAAABVFQ8PB/HtoMIMKAAAAQKD8e2iQLwAAAGAqGhoO5mYPDQAAAABB4l+hIUk+QgYAAAAMREPDwdhDAwAAAECwFOlncNkpAAAAGImGhoMVnUEFAAAAAIFghQYAAABMR0PDwbjGLQAAAIBgKTpdykvEAAAAgIFoaDiYiz00AAAAAASJq+gKDS46BQAAAAPR0HAwaw8NwgYAAACAABW95BQrNAAAAGAiGhoO5o8brNAAAAAAEEzsoQEAAAAT0dBwMP8MKpaDAwAAAAhUsU3BbRwHAAAAUFE0NBzMnzdYDg4AAAAgUEX6GfKyQgMAAAAGoqHhYNYKDcIGAAAAgAAVW6FBxAAAAICBaGg4mD9usEIDAAAAQKCKLNBg0hQAAACMREPDwQpnUBE2AAAAAASGPTQAAABgOhoaDsYKDQAAAADBwh4aAAAAMB0NDQdzsYcGAAAAgCApfskp24YBAAAAVBgNDQfzNzSYPQUAAAAgUEUvOUXGAAAAgIloaDgYO2gAAAAACBYXe2gAAADAcDQ0HMxtXXLK5oEAAAAAqBasSVOEDAAAABiIhoaD+SdQsRwcAAAAQDAUXtbW5oEAAAAAFUBDw8GsFRo2jwMAAABA9eA+PmnKR8oAAACAgWhoOJh/OTgrNAAAAAAEg0tc1hYAAADmoqHhYP4VGkyeAgAAABAM1goNOhoAAAAwEA0NB2MPDQAAAADBVLiHBhkDAAAA5qGhYQCiBgAAAIBg8F/WlowBAAAAE9HQcDA3s6cAAAAABBEZAwAAACajoeFg/uXgXN8WAAAAQFBYe2jYOwwAAACgImhoOJibPcEBAAAABJF/hQYZAwAAACaioeFgLrEcHAAAAEDw+PfQIGMAAADARDQ0HMzNcnAAAAAAQcQKDQAAAJiMhoaD+ffQ8BI3AAAAAASBy5o0RcYAAACAeWxtaEybNk1xcXGKiIjQli1brNuHDBmibt26KTExUYmJiZo/f7517NixY7rhhhvUvXt39ezZUytWrLCOeb1eTZ06VfHx8erevbuefvrpYs83d+5cxcfHKz4+XrNnz678Fxgg/woN+hkAAABA6cgXpbNWaJAxAAAAYKAQO5982LBhmjx5sgYPHlzi2EMPPXTS2x9//HGFhYUpJSVF27Zt08CBA9W/f39FRETolVde0ffff68NGzYoIyND/fv3V//+/dWhQwclJycrKSlJycnJCgkJ0aBBg5SQkKCLL764Kl5qhbCHBgAAAFB25IvSsYcGAAAATGZrQ6Nv377lvs+yZcv073//W5LUunVr9enTR6tWrdLYsWO1bNkyjR8/Xh6PR40aNdKIESOUlJSke++9V8uWLdOYMWMUHh4uSRo3bpyWLl1aauDIysoq/wuroJycnGL/zs/LkyTl5edX6ThQdifWDM5HzcxDzcxCvcxDzcxjd81q165ty/OWhQn5QrI3Y/gbGlnZ2WQMh7L7M47yoV7moWbmoWbmoWbmsbNm5c0XtjY0TmfGjBmaOXOmOnbsqAceeECtW7eWJO3cuVMxMTHWebGxsdq5c+cpj6WkpEiSUlNTiwWc2NhYLV++vNRx7N69W/n5+cF4SWWWlpYmSTp48KAk6eixTKWmplbpGFA+/prBHNTMPNTMLNTLPNTMPHbUzOPxqG3btlX+vMHglHwh2ZsxvF6vJGnPnl9VLyujSseA8uHvZbNQL/NQM/NQM/NQM/NUdc0qki8c2dBYsGCBoqOj5fP5tHDhQo0ePVrr16+3jvs3y5ZKbmZX0WOn0qJFi3KNPRA5OTlKS0tTVFSUwsLCFHkgV9I21alTu1iQgnOcWDM4HzUzDzUzC/UyDzUzDzUrPyflC8nejBHi2SQpV1HNoxTTLKLKxoGy4zNuFuplHmpmHmpmHmpmHpNq5siGRnR0tKSCgHDTTTdp+vTpOnDggCIjIxUdHa0dO3aoSZMmkgpmRl1yySXW/Xbs2KEePXpYx/yPFRMTox07dljPUfTY6dixpD4sLEy1a9dWLf+bx+V29NJ+FNYM5qBm5qFmZqFe5qFm5qFmZeekfCHZmzHc7oImTEgo7x+n4zNuFuplHmpmHmpmHmpmHhNq5rZ7ACfKy8vT3r17rZ+XL1+upk2bKjIyUlLBRn8LFy6UJG3btk3Jycm67LLLrGPPPfec8vPzdfDgQb3++usaOXKkdWzJkiU6evSosrOztWjRIo0aNaqKX135+Od7sV0fAAAAUDHki+Jcx1OGj5QBAAAAA9m6QmPKlClavXq10tLSNHz4cIWHh2vt2rW66qqrlJOTI5fLpcaNG2vJkiXWfW6//Xbdeuut6t69u9xut+bNm6dGjRpJkq6++mqlpKSoZ8+e1rkdO3aUJPXr10/Dhw9Xnz59JEmjRo3SgAEDqvgVl4/7+BL28ixfBwAAAGoq8kXpji/QEBEDAAAAJnKlp6fzVdYhsrKylJqaqpiYGNWuXVtLvtqq295cpwFnttB/fn+h3cPDSZxYMzgfNTMPNTML9TIPNTMPNUN5nPh+6f74G0o9dFT/u36QerRsYvfwcBJ8xs1CvcxDzcxDzcxDzcxjUs0cd8kpFLJWaLAcHAAAAEAQFGYMAAAAwDw0NBzMv4eGl7QBAAAAIAgKMwYhAwAAAOahoeFgLvbQAAAAABBEhRnD5oEAAAAAFUBDw8GOZw1WaAAAAAAIisKMQcgAAACAeWhoOJhL7KEBAAAAIHj8l5wiYQAAAMBENDQczM0KDQAAAABB5N8UnBUaAAAAMBENDQdjDw0AAAAAweS/5BQRAwAAACaioeFg/tlTZA0AAAAAwVCYMUgZAAAAMA8NDQezrm/L9CkAAAAAQVCYMWwdBgAAAFAhNDQczJo9RdgAAAAAEARuLmsLAAAAg9HQcDD/9W29LAcHAAAAEAQua1NwmwcCAAAAVAANDQcrDBukDQAAAACBY9IUAAAATEZDw8HqhngkScdy8mweCQAAAIDqoG5IiCQyBgAAAMxEQ8PBGtYJkySlZ+XYPBIAAAAA1QEZAwAAACajoeFgEbULwsYhwgYAAACAIPBnDBoaAAAAMBENDQdrVKeWJOlYbr6y8/JtHg0AAAAA0zXyr9DIzLZ5JAAAAED50dBwsPq1QnV8zz5mUAEAAAAIWENWaAAAAMBgNDQczO1yKcKaQUXgAAAAABAY/ypw8gUAAABMREPD4QqvccuScAAAAACBYYUGAAAATEZDw+H8geMgM6gAAAAABCiCfAEAAACD0dBwOP+S8EPMoAIAAAAQIP+m4OQLAAAAmIiGhsOxJBwAAABAsESQLwAAAGAwGhoO559BxZJwAAAAAIGKKLICPN/rtXk0AAAAQPnQ0HA4/wwqloQDAAAACJQ/X0hSRnaujSMBAAAAyo+GhsMVbgqebfNIAAAAAJgu1ONWeGiIJFaBAwAAwDw0NBzOvyk417gFAAAAEAwRddhHAwAAAGaioeFwXHIKAAAAQDBZGYMVGgAAADAMDQ2Hi2BTcAAAAABB5N8Y/GAWl7UFAACAWWhoOBwrNAAAAAAEkz9jcMkpAAAAmIaGhsNFFNkU3Ofz2TwaAAAAAKazGhqsAgcAAIBhaGg4nH85eJ7Xp6O5eTaPBgAAAIDp2BQcAAAApqKh4XB1Qz0KdReUiRlUAAAAAAJVuEKDPTQAAABgFhoaDudyudSIGVQAAAAAgoQVGgAAADAVDQ0DNOQatwAAAACChD00AAAAYCoaGgYonEHFknAAAAAAgYmoXbBPHys0AAAAYBoaGgZgBhUAAACAYLEmTJEvAAAAYBgaGgbwNzQOMoMKAAAAQICsCVOsAAcAAIBhaGgYIKJOwZLwQ8ygAgAAABAg/wqNY7n5ysnPt3k0AAAAQNnR0DBA4QwqGhoAAAAAAtOgVqhcx//MZacAAABgEhoaBvDPoDrIknAAAAAAAfK43WrApCkAAAAYiIaGARodDxtccgoAAABAMPgzBis0AAAAYJIQuweA0jWsc/JNwfccPqaU3b/p+32HdDgnV0dz8o7/k6s8r886z1fkPj6fr9hjnO4YSuf1epWZmak6dXbI7aY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73c/0+2nP6oPnp6l7x5Z2D6dEyrJmOVXr6HR0z6CeE/by/7v8u7X/03eH0vTWmL7q06yB3cPCBfD/pWahXuahZuahZg6VnaXQ5I/lPn2i0CEyBhkjv8yGl8lXPSpo56s87yiDuM+x2QwAAEBgKu/3i9f/87n27T+ii1tEy+1264ttP+rvi9aoV6fWxgWNsld53ycVHREDAAAEVSX/bkHGsA8NDQdysWEfAAAIMp+78n7tq1EtTEvfW6/HX9ivE6cy1KBuLY29prce+WPRa8RWNj5PFbuHgDLi3xySjAEAAILC5ZHcoXaPwjZkjOLxSVKQs2jlTbYOZu2hYfM4AABAxeHzhsvn8cqVnWn3UMrd1b076erenewehhFyqtW1ewgoI+yhAQAAgsrlUk54A7kzUu0eiS3IGMUUGi6ft3pQT+ku+i4ob/4ZW1w9BQAAgsZbQzk1orlgAuflCwlXTlgdu4eBMuI6kzJy+FcAAAAESU54Pfk8XruHAYfyScqu1UQKCe4scBoaDmTN0CBrAACAIMqq3UrZERfJ56nCf9KExedyKycsUqcbdJaqBPfqKThH3gwNPv0AACA4fGG1dTqqi3KqRMjn4j8zI5dPki8kTNl12ii7VtOgn58lpxyIGRoAAKBMhHiVXa+9sms1lev0cSknS9lZWTpdLU2na9ZUjoevhibIzg5izdxuyRMmX5WaktsTnAHCkawZGkQMAAAQRL7wejodFiFX5jEpK13y+YL7fRXlImg1c0lyh8rnrSGFVg3a+PLjHeVE/qun7B0FAACoqLzh8nnDJUmZ6ek6cDBTYVWjFBYWZvPAUBzUDKViZQxSBgAACDJPqHxVI62/8n3VPCbVjLlADsSSUwAAAACCiYwBAACAioCGhgP5l5xifVsAAAAAwcCytgAAAKgIaGg4kHX1lM3jAAAAAFAx+DMGAAAAYDIaGg7kzxpcPQUAAAAgGMgYAAAAqAhoaDhQ3vq2hA0AAAAAgWMPDQAAAFQENDQcLIewAQAAACCImKEBAAAAk9HQcKC8PTQIGwAAAAACxz59AAAAqAhoaDiQf7s+ZmgAAAAACIa8jEHIAAAAgLloaDiQiz00AAAAAASRf1NwIgYAAABMRkPDgdz+sGHvMAAAAABUECxrCwAAgIqAhoYDucQMDQAAAADBw7K2AAAAqAhoaDgQ08EBAAAABJOLkAEAAIAKgIaGA/nDBhv2AQAAAAgGZmgAAACgIqCh4UD+opA1AAAAAAQDe2gAAACgIqCh4UDM0AAAAAAQTP4Vp5ihAQAAAJPR0HAgN8vbAgAAAAgia4YGIQMAAAAGo6HhQK4zK9zmMB0cAAAAQBCwhwYAAAAqAhoaDuRihgYAAACAILIyBhdNAQAAwGA0NBzIxXRwAAAAAEHEPn0AAACoCGhoOJB/OjhRAwAAAEAwkDEAAABQEdDQcCA27AMAAAAQTO68NacAAAAAY9HQcCA27AMAAAAQTHkZg5ABAAAAc9HQcCA3G/YBAAAACCJrFrjN4wAAAAACQUPDgfI27LN5IAAAAAAqBP+KU8zQAAAAgMloaDiQtbwtYQMAAABAELisffpsHggAAAAQABoaDuSSf4YGaQMAAABA4NhDAwAAABUBDQ0HyttDAwAAAAACxx4aAAAAqAhoaDiQf4YGS04BAAAACAZmaAAAAKAioKHhQHl7aNg7DgAAAAAVQ94eGoQMAAAAmIuGhgMxHRwAAABAMPmXtQUAAABMRkPDgZgODgAAACC4clMGGQMAAAAmo6HhQHnTwW0eCAAAAIAKwc2ytgAAAKgAaGg4kH8PDa6eAgAAABAMZAwAAABUBDQ0HIg9NAAAAAAEExkDAAAAFQENDQdiDw0AAAAAwUTGAAAAQEVAQ8OB/FdPSZKPwAEAAAAgQG726QMAAEAFQEPDgVz5fiZvAAAAAAgWZmgAAADAZDQ0HCjfBA1maAAAAAAImCt/yAAAAAAMRUPDgfKHDdoZAAAAAALlPhMxuGAKAAAAJrO1oTF16lTFxcUpIiJC27dvt273+XyaNWuWunTpou7du2vw4MHWsRkzZujSSy9Vz549deWVV+rjjz+2js2aNUstWrRQr1691KtXL40bN67A882ePVvx8fGKj4/XzJkzy/4FllL+a6eYEg4AAAAUD/ni/FxnUkYO8QIAAAAGC7HzyYcOHapJkyZp0KBBBW5/9tlntX37dn3++efyer369ddfrWPdu3fXlClTVLVqVW3btk3XXHONvvvuO4WFhUmSbrjhhnOGicTERCUkJCgxMVEhISEaOHCgunfvrr59+5btiyyFgpuC2zgQAAAAwCDki/OzZmgwBxwAAAAGs7Wh0bNnz3PePnfuXK1atUper1eS1KBBA+tY//79rZ/bt2+vnJwcHTp0SI0bN77gcy1btkyjR49WeHi4JGns2LFaunRpkYEjPT29WK8lGDIzMyVJp0+ftm47eSpdvlBPuY0BJeOvmf9POB81Mw81Mwv1Mg81M4/dNfP/h34nMiFfSPZkjJycnNy/n84q1+dHydn9GUfJUC/zUDPzUDPzUDPz2FmzkuYLWxsa55KWlqaDBw9q1apVWrFihSRpwoQJuvbaawvdd9GiRWratGmBsJGQkKAPP/xQkZGRmjJlivr06SNJSk5OLhBwYmNjtXz58iLHs2/fPmVnZwf6skrk4IH91s979iQrLISGhtOlpKTYPQSUEDUzDzUzC/UyDzUzjx0183g8at68ebk/byCcli8kezLGqZMnJUlpx9KUnJxcrs+N0uHfZbNQL/NQM/NQM/NQM/OUd81Kky8c19DIyspSZmamTp06pbVr1yo5OVkDBgxQmzZt1K5dO+t+H3/8sZ544gktW7bMuu3WW2/V5MmTFRoaqvXr12vs2LH64IMPFBsbK+mszbaLuZZTo0aNgvTKipaZmamUlBRF1a+f9/yNoxXudVyZcIZVs6go64o/OBs1Mw81Mwv1Mg81Mw81Kxmn5QvJnoxR/cxMkurVaygmJqbcnh8lx2fcLNTLPNTMPNTMPNTMPCbVzHH/pTwyMlLVq1fXqFGjJEkxMTG67LLLlJSUZAWOdevWaeLEiVqyZIlatmxpPTYqKsr6uVu3burQoYOSkpIUGxurmJgY7d692zqenJys6OjoIsdjx5T6KlWqWD97q1RRWJXQch8DSsbr9Tp6+QUURs3MQ83MQr3MQ83MQ82Kx2n5QrInY4ScmfXt9nh43xiCz7hZqJd5qJl5qJl5qJl5TKiZ2+4BnMuIESO0du1aSVJqaqo2btyo9u3bS8rdfO+Pf/yjFi9erLi4uAKP27t3r/XzTz/9pG3btlmPGzp0qJYsWaITJ04oIyNDixYt0ogRI8rpFZWMK9/PJbnSCwAAAEBhlT1fSJLrTMrIIV4AAADAYLbO0Jg8ebLWrFmjlJQUDRs2TOHh4UpKStL06dM1YcIELVy4UJJ07733Kj4+XpJ01113KSMjQxMnTrTOM3/+fLVv316PPvqotmzZIo/HI4/Hozlz5qhFixaSpN69e2vYsGHq0aOHpNxQ069fv/J9wcVUYOq6jeMAAAAATEK+OL+8iEHCAAAAgLlcqampfKN1iPT0dCUnJ6th48Zq+lTu2r0//vk6RVStUsQjYRd/zWJiYhw/HQu5qJl5qJlZqJd5qJl5qBlKwv9+WbIrTf9c/z+Nv6S1/m9gV7uHhQvgM24W6mUeamYeamYeamYek2rmyCWnKjtXvkWnmBIOAAAAIFD+hJHDkrYAAAAwGA0NB3Ln20TDx5RwAAAAAAHyL2tLugAAAIDJaGg4UP49NJihAQAAACBQzNAAAABARUBDw6H8gcNH4AAAAAAQILd/hgbxAgAAAAajoeFQ/lkazNAAAAAAECj/JHBmaAAAAMBkNDQcyr+PBntoAAAAAAiUmz00AAAAUAHQ0HAol5gSDgAAACA42EMDAAAAFQENDYfyTwlnDw0AAAAAgXJZm/TZOgwAAAAgIDQ0HMpt7aFB4gAAAAAQGP8McPIFAAAATEZDw6G4gAoAAABAsFgzwO0dBgAAABAQGhoOZW3aR+IAAAAAEKC8fEHAAAAAgLloaDjVmSuomBIOAAAAIFBsCg4AAICKgIaGQ1lXUNk8DgAAAADmI18AAACgIqCh4VBcQQUAAAAgWFzMAAcAAEAFQEPDobiCCgAAAECwuNijDwAAABUADQ2H8l9BxaZ9AAAAAAJlzQDnkikAAAAYjIaGQ7m5ggoAAABAkLitK6bsHQcAAAAQCBoaDsUeGgAAAACChXwBAACAioCGhkNZa9xyCRUAAACAADFBAwAAABUBDQ2HyttDw95xAAAAADAfS9oCAACgIqCh4VCuM5PCmRIOAAAAIFjIFwAAADAZDQ2HcjMlHAAAAECQWDM0bB4HAAAAEAgaGg7FDA0AAAAAweJf0pZ8AQAAAJPR0HAoN3toAAAAAAgSt/x7aBAwAAAAYC4aGg7lchE4AAAAAASHiwumAAAAUAHQ0HAo1rgFAAAAECx5+YKEAQAAAHPR0HCoMxdQscYtAAAAgKDJIV4AAADAYDQ0HIop4QAAAACChSVtAQAAUBHQ0HAoF1PCAQAAAASJ23/BlL3DAAAAAAJCQ8Oh8pacsnUYAAAAACoA15mEwZK2AAAAMBkNDYdyMyUcAAAAQJC4WdIWAAAAFQANDYfy76HBDA0AAAAAgWKGBgAAACoCGhoO5WYPDQAAAABB4mIPDQAAAFQANDQcyr+HBhdQAQAAAAiUiyVtAQAAUAHQ0HAo9tAAAAAAECzsoQEAAICKgIaGQ/mvoGIPDQAAAACB8s8Az2HRKQAAABiMhoZDWUtOETgAAAAABChvySmbBwIAAAAEgIaGQ+XN0CBxAAAAAAiMf8kp8gUAAABMRkPDoVz+NW7tHQYAAACACsB1Zg44+QIAAAAmo6HhUG6mhAMAAAAIEuuCKQIGAAAADEZDw6GsTfsIHAAAAAAC5J+hkUO8AAAAgMFoaDiUNUPD5nEAAAAAMJ/bWtKWhAEAAABz0dBwKKaEAwAAAAgWF0vaAgAAoAKgoeFQbhE4AAAAAASHmwumAAAAUAHQ0HAo/wwN9tAAAAAAEKi8PTTIFwAAADAXDQ2HI24AAAAACJS1pK29wwAAAAACQkPDofybgnMFFQAAAIBAMUMDAAAAFQENDYfK27SPwAEAAAAgMNYMDeIFAAAADEZDw6HcTAkHAAAAECT+GeDkCwAAAJiMhoZDMSUcAAAAQLCcuV6KfAEAAACj2drQmDp1quLi4hQREaHt27dbt/t8Ps2aNUtdunRR9+7dNXjwYOvYyZMnddttt6lTp07q0qWLVqxYYR3LycnRlClTFB8fr06dOun5558v8HyzZ89WfHy84uPjNXPmzLJ/gQFwMyUcAAAAKBHyxflZMzTIFwAAADBYiJ1PPnToUE2aNEmDBg0qcPuzzz6r7du36/PPP5fX69Wvv/5qHZs7d668Xq+SkpK0c+dODRgwQH369FFERIRef/11fffdd9q4caPS0tLUp08f9enTR61atVJiYqISEhKUmJiokJAQDRw4UN27d1ffvn3L+2UXC3toAAAAACVDvji/vD00yBcAAAAwl60NjZ49e57z9rlz52rVqlXyer2SpAYNGljHli1bpn/961+SpKZNm6pHjx5avXq1xowZo2XLlunWW2+Vx+NR7dq1NXz4cCUkJOiBBx7QsmXLNHr0aIWHh0uSxo4dq6VLlxYZONLT04PxUoslMzPT+tOXk5P78+nT5ToGlEz+msEM1Mw81Mws1Ms81Mw8dtcsLCzMluctDhPyhWRPxsjOypIk5fhyyBcOZ/dnHCVDvcxDzcxDzcxDzcxjZ81Kmi9sbWicS1pamg4ePKhVq1ZZ070nTJiga6+9VpK0Z88excTEWPePjY3Vnj17znssKSlJkpScnFwg4MTGxmr58uVFjmffvn3Kzs4O/IWVQEpKijIyckPGwUOHlJzMVidOl5KSYvcQUELUzDzUzCzUyzzUzDx21Mzj8ah58+bl/ryBcFq+kOzJGIcPH5YkZZ7OUnJycrk+N0qHf5fNQr3MQ83MQ83MQ83MU941K02+cFxDIysrS5mZmTp16pTWrl2r5ORkDRgwQG3atFG7du0k5S3HJBWeMl3aY+fTqFGjEr+G0srMzFRKSoqioqJUrepuSUdVu3ZkgRAFZ8lfM/8Vf3A2amYeamYW6mUeamYealYyTssXkj0Zo26dOpIkjyeEfOFwfMbNQr3MQ83MQ83MQ83MY1LNHNfQiIyMVPXq1TVq1ChJUkxMjC677DIlJSWpXbt2io6O1u7du1W3bl1JuVdG9e/fX5KsY507d7aORUdHW+fZvXu39Tz5j12IHVPqvV6vPB6PJMkTEuLoaf3I5fV6qZNhqJl5qJlZqJd5qJl5qFnxOC1fSDZljNBQSZLPpudHyfEZNwv1Mg81Mw81Mw81M48JNXPkWkYjRozQ2rVrJUmpqanauHGj2rdvLyl3o78FCxZIknbu3KnExERdffXV1rEXX3xR2dnZOnLkiN566y1rKvnQoUO1ZMkSnThxQhkZGVq0aJFGjBhhw6srHv+1XmzZBwAAAASGfJFvU3ASBgAAAAxm6wyNyZMna82aNUpJSdGwYcMUHh6upKQkTZ8+XRMmTNDChQslSffee6/i4+MlSXfffbfuvPNOderUSW63W3PmzFHt2rUlSTfccIOSkpLUpUsX676tW7eWJPXu3VvDhg1Tjx49JOWGmn79+pXzKy4+95nEUYKZ6wAAAEClRr44Pytf2DwOAAAAIBCu1NRUvtM6RHp6upKTkxUTE6PxKzdozXd7NOeqS/W7Li3tHhrOI3/NnD4dC7momXmomVmol3momXmoGUrC/345VqWGBrzyvupXD9P2e5w7kwR8xk1DvcxDzcxDzcxDzcxjUs0cueQU8l9BRb8JAAAAQGBceWtOAQAAAMaioeFQ1h4aBA4AAAAAAfLnixwCBgAAAAxGQ8OhmKEBAAAAIFjYQwMAAAAVAQ0NpzpzCVUOiQMAAABAgFxWviBgAAAAwFw0NBzKfaaj4SNwAAAAAAiQNUODeAEAAACD0dBwKBczNAAAAAAECXtoAAAAoCKgoeFQLrGHBgAAAIAgOdPRIF0AAADAZDQ0HMrtDxwkDgAAAAAByltyioABAAAAc9HQcCjXmcDBlHAAAAAAgfIvOUW8AAAAgMloaDiUdQWVzeMAAAAAYL68fEHCAAAAgLloaDhU3hVUBA4AAAAAgcnbFNzWYQAAAAABoaHhUHlr3No8EAAAAADGYw8NAAAAVAQ0NJzqzCVU7KEBAAAAIGBWvrB3GAAAAEAgaGg4FHtoAAAAAAgW9tAAAABARUBDw6Hy1rglcAAAAAAIDHtoAAAAoCKgoeFQZy6gYg8NAAAAAAFzsYcGAAAAKgAaGg7lnxLODA0AAAAAgfIHP9IFAAAATEZDw6H8U8IJHAAAAAAC5Z+hITFLAwAAAOaioeFQbqaEAwAAAAgSd14/g4umAAAAYCwaGg7FGrcAAAAAgievo8GytgAAADAVDQ2H8l9BRdQAAAAAEKgCMzQIGQAAADAUDQ3HYlNwAAAAAMGRfw8NMgYAAABMRUPDoZihAQAAACBY2EMDAAAAFQENDYfyX0HF1VMAAAAAAuViDw0AAABUADQ0HMqaoUHWAAAAABAg9tAAAABARUBDw6Fc7KEBAAAAIGiYoQEAAADz0dBwKBd7aAAAAAAIknx7ggMAAADGoqHhUO4zV1Bx8RQAAACAQLnzdTR8hAwAAAAYioaGQ1kzNAgbAAAAAAKUf4IGS04BAADAVDQ0HMp/BRVRAwAAAECgCszQsHEcAAAAQCBoaDgcV08BAAAACFT+PTTIGAAAADAVDQ2HsmZoEDYAAAAABCj/klNEDAAAAJiKhoZD+a+gyiFsAAAAAAiQK98UDWZoAAAAwFQ0NBwqbw8NwgYAAACAwLFPHwAAAExHQ8Oh/NdPMUMDAAAAQDDkZQxCBgAAAMxEQ8OhXOyhAQAAACCIrFWniBgAAAAwFA0Nh3KfCRtkDQAAAADBwJJTAAAAMB0NDYdyiRkaAAAAAIKHJacAAABgOhoaDuWfDk7WAAAAABAMbpa1BQAAgOFoaDiUfw8Nrp4CAAAAEAz+i6ZyiBgAAAAwFA0Nh2J9WwAAAADB5LIyBikDAAAAZqKh4VCsbwsAAAAgmPIyhq3DAAAAAEqNhoZD5a1va/NAAAAAAFQIbmZoAAAAwHA0NBwqb31bwgYAAACAwOXt02fzQAAAAIBSoqHhUP7p4GQNAAAAAMHgzxhMAwcAAICpaGg4VN6SU4QNAAAAAIFzM0MDAAAAhqOh4VD+JafIGgAAAACCIS9jkDIAAABgJhoaDuVihgYAAACAIMqbBW7zQAAAAIBSCintAw8fPqznnntOSUlJkqTOnTtr3LhxioyMDNrgKjP/+rZMBwcAAEBlQL4oe3kZg5ABAAAAM5WqobFnzx4NHDhQv/zyi3Xbe++9p1dffVX/+c9/1Lhx42KdZ+rUqXrnnXeUnJyszz77TO3atZMkDR48WHv27FGNGjUkSTfeeKMmTpwoSbr55pu1Y8cO6xzffPONFi9erKuvvlqzZs3SwoUL1aBBA0lS27ZttWDBAuu+s2fP1uLFiyVJ1113nR566KHSvPxyYV09xXRwAAAAVHDki/JhzQK3eRwAAABAaZWqofHoo49q3759crvdatmypSTphx9+0L59+zRz5kw988wzxTrP0KFDNWnSJA0aNKjQsccff/yct7/yyivWz0lJSRoxYoT69u1r3XbDDTdo5syZhR6XmJiohIQEJSYmKiQkRAMHDlT37t0LPNZJXGLDPgAAAFQO5Ivy4d9DgxkaAAAAMFWpGhoffvihqlatqnfeeUcdO3aUJG3evFlXXXWVPvjgg2Kfp2fPnqV5esuiRYt0/fXXq0qVKkXed9myZRo9erTCw8MlSWPHjtXSpUuLDBzp6ekBjbEkMjMzrT+zs09LkrKzs8t1DCiZ/DWDGaiZeaiZWaiXeaiZeeyuWVhYWNDPWZnyhWRfxvAvOZWRkUHGcDC7P+MoGeplHmpmHmpmHmpmHjtrVtJ8UaqGxpEjR9SyZUsrbEhSfHy8mjZtqp9++qk0pyxk+vTpmjFjhlq3bq2HH35YTZs2LXA8PT1dS5cu1Zo1awrcnpCQoA8//FCRkZGaMmWK+vTpI0lKTk4uEHBiY2O1fPnyIsexb98+ZWdnB/6CSiAlJUVHDh+RJJ04eVLJycnl+vwouZSUFLuHgBKiZuahZmahXuahZuaxo2Yej0fNmzcP+nkrU76Q7MsYOWee85dff1VE5vFyfX6UHP8um4V6mYeamYeamYeamae8a1aafFGqhkZUVJR+/PFHvfPOO7rqqqskSWvWrNGPP/6oqKio0pyygPnz5ys6Olo+n08LFizQqFGjtGHDhgL3WbFihS666CK1b9/euu3WW2/V5MmTFRoaqvXr12vs2LH64IMPFBsbKylvzVhJ8hVzmnWjRo0Cfj3FlZmZqZSUFEVFRalOaraknxUWVlUxMTHlNgaUTP6aeb1eu4eDYqBm5qFmZqFe5qFm5qmINatM+UKyL2OEeEIkZap+/SjFNGSzdaeqiJ/xiox6mYeamYeamYeamcekmpWqoTFo0CAtXLhQY8aMUbVq1SRJJ0+elCQrgAQiOjpaUm5AGD9+vKZNm6bDhw8rMjLvS/err76qm266qcDj8oedbt26qUOHDkpKSlJsbKxiYmK0e/du63hycrL1PBdSFlPqi+L1elXlzBvH5XbZMgaUjNfrpU6GoWbmoWZmoV7moWbmqUg1q0z5QrIvY3jcuQ2Y0Ar03qnIKtJnvDKgXuahZuahZuahZuYxoWbu0jzooYceUtu2beXz+XTixAmdOHFCPp9Pbdq00YMPPhjQgLKysrR//37r78uXL1e9evUKhI2dO3dq06ZNGjFiRIHH7t271/r5p59+0rZt26wrrIYOHaolS5boxIkTysjI0KJFiwo93kn8F3uxXx8AAAAqOvJF+fDPKCFjAAAAwFSlmqERERGhDz/8UEuXLlVSUpIkqVOnTrruuuuKtYGe3+TJk7VmzRqlpKRo2LBhCg8P17p163T99dfnblrncqlOnTpasmRJgcctWrRIQ4YMUc2aNQvc/uijj2rLli3yeDzyeDyaM2eOWrRoIUnq3bu3hg0bph49ekiSRowYoX79+pXm5ZcLK2zYPA4AAACgrJEvyofbf9EUKQMAAACGcqWmppb42+ySJUtUt25d9e/fv8Dtu3bt0qlTp9SmTZugDbAySU9PV3JysmJiYrTyh190x/LPdHmzBkoY09fuoeE88tfM6dOxkIuamYeamYV6mYeamaci1ox8UXbyv196L/yvfj5yTKtv6a/LYurbPTScR0X8jFdk1Ms81Mw81Mw81Mw8JtWsVEtOTZgwQbNnzy50+x/+8Af17Nkz4EFBcjMdHAAAAJUE+aJ8uFnWFgAAAIYrVUPjfI4cOSIf346Dwr+HRg6/TwAAAFRS5Ivg8i9rS8YAAACAqUq0h0bHjh2tn7du3Vrg76dOndLBgwcLbK6H0nOzhwYAAAAqOPJF+crbQwMAAAAwU4kaGrt375aUe2VPRkaG9ff8hgwZEpyRVXJnsgZXTwEAAKDCIl+UL5eYoQEAAACzlaihcd9990mSHn/8cTVu3Fhjx461jlWrVk0tW7bUoEGDgjvCSipvDw3CBgAAACom8kX5Yg8NAAAAmK5EDY37779fkvTpp5+qbdu21t8RfC7CBgAAACo48kX5cnHRFAAAAAxXooaG3+rVqwv8fdOmTfr888/Vvn17/eY3vwnGuCo9/3RwHyvcAgAAoIIjX5QP/7K2JAwAAACYqlQNjfHjxyshIUGrVq2Sz+fTb3/7W+Xk5EiS/vGPf+imm24K6iArIxcb9gEAAKCSIF+Uj7xlbW0eCAAAAFBK7tI8aNOmTQoPD1e3bt305ptvKjs7W02bNpXP59OCBQuCPcZKyT8dnA37AAAAUNGRL8rJmYumcrhsCgAAAIYqVUPjl19+UUxMjFwul7Zt26Y2bdpo06ZNatKkiXbu3BnkIVZObNgHAACAyoJ8UT7c7KEBAAAAw5WqoeF2u5WZmSlJ+uGHH9S2bVtJUo0aNZSdnR280VVi/j00mKEBAACAio58UT78e2jkEDEAAABgqFI1NJo2baqffvpJnTt31rFjx9SpUydJ0q+//qoGDRoEdYCVlZs9NAAAAFBJkC/KhzVDg5QBAAAAQ5WqoTFhwgRJ0s8//6xatWpp1KhR+uabb3Tw4EF17tw5qAOsrNhDAwAAAJUF+aJ8uPx7aBAxAAAAYKiQ0jzoxhtvVFxcnHbs2KFu3bqpfv36ysnJ0dtvv60mTZoEe4yVkltM0QAAAEDlQL4oH+yhAQAAANOVqqEhSRdffLFatGih//3vf9q3b5/atGmjyy+/PJhjq9Tyrp4ibAAAAKDiI1+UPf8eGkQMAAAAmKpUS05J0lNPPaWLLrpIV155pa688kpddNFF+vvf/x7MsVVqVtiwdRQAAABA+SBflD2X2EMDAAAAZitVQ2PRokV69NFHdfLkSfl8Pvl8Pp08eVKPPvqoXnvttWCPsVJiDw0AAABUFuSL8sEeGgAAADBdqRoaCxYskCRdc801evHFF/Xiiy9q8ODB8vl8mj9/flAHWFn5wwb9DAAAAFR05Ivy4WIPDQAAABiuVHtofP/994qNjdWrr75q3TZs2DB16NBB33//fdAGV5lZG/YxHRwAAAAVHPmifORlDAAAAMBMpZqh4fF4lJGRoaysLOu206dPKyMjQx6PJ2iDq8z8e2gwHRwAAAAVHfmifORlDEIGAAAAzFSqGRpxcXHasGGDrr76ag0ZMkSStHLlSh04cECXXXZZUAdYWbmZDg4AAIBKgnxRPvIyhs0DAQAAAEqpVA2Nu+66S+vXr9dXX32lr776SlLef3i/++67gze6SowN+wAAAFBZkC/KR17GIGQAAADATKVacurqq6/Ws88+q8aNG8vn88nn8yk6OlrPPfecrrrqqmCPsVLyXz3FCrcAAACo6MgX5YM9NAAAAGC6Es3Q2LVrlz777DO1aNFCo0aN0qhRo3Tw4EFJ0o4dO/TTTz9p586datq0aVmMtVJxnVnhlhkaAAAAqKjIF+XLumSKGRoAAAAwVIlmaPzjH//QxIkTdezYMeu2unXrqm7dujp16pQmTpyop59+OthjrJT8EzQIGwAAAKioyBflKy9j2DsOAAAAoLRK1ND45JNPVKNGDV155ZWFjl1++eWqVauWPvnkk6ANrjJzufwzNEgbAAAAqJjIF+WLjAEAAADTlaihsW/fPkVHR5/3eOPGjfXLL78EPCjkmw5u6ygAAACAskO+KF9kDAAAAJiuRA2NkJAQJScnKycnp9Cx7Oxs7d69W6GhoUEbXGVmbdhH2gAAAEAFRb4oX3kZg5ABAAAAM5WoodGqVSsdP35cjz76aKFjjz32mI4dO6ZWrVoFbXCVmX992xyunwIAAEAFRb4oX3lLTtk8EAAAAKCUQkpy52HDhmnjxo36xz/+offff1/du3eXy+XS+vXrtXXrVrlcLg0fPrysxlqpMEMDAAAAFR35ony5/ZuCc9EUAAAADFWihsa4ceP0xhtvaNu2bfr666/19ddfW8d8Pp86duyocePGBX2QlZG1vi0dDQAAAFRQ5Ivy5RKbggMAAMBsJVpyqkqVKlqxYoWuu+46eTwe+Xw++Xw+eTwejRw5Um+//ba8Xm9ZjbVSsWZo2DwOAAAAoKyQL8pX3gwNAAAAwEwlmqEhSREREVqwYIGefPJJ/fTTT/L5fGrRooVq1qxZFuOrtKw9NLh6CgAAABUY+aL8uNgUHAAAAIYrcUPDr2bNmurUqVMwx4J8/NPByRoAAACoDMgXZS9vWVtbhwEAAACUWomWnEL5cTNDAwAAAEAQ+WdokDEAAABgKhoaTsUeGgAAAACCyJqhYesoAAAAgNKjoeFQ1oZ9XD0FAAAAIAjcLpa1BQAAgNloaDiUfw8NpoMDAAAACAYXy9oCAADAcDQ0HMqaoWHvMAAAAABUEG6WtQUAAIDhaGg4lH+GBktOAQAAAAgG/x4azNAAAACAqWhoOFTeHhr2jgMAAABAxZC3hwYhAwAAAGaioeFQLhd7aAAAAAAIHhcXTQEAAMBwNDQcivVtAQAAAASTy8oYpAwAAACYiYaGQ7G+LQAAAIBgyssYtg4DAAAAKDUaGk7FdHAAAAAAQeRiDw0AAAAYjoaGQ7HkFAAAAIBgcvsvmrJ3GAAAAECp0dBwKJacAgAAABBMrjMpg4wBAAAAU9HQcCj/DA2JKeEAAAAAAudmWVsAAAAYjoaGQ+XrZzAlHAAAAEDA/HtoMEMDAAAAprK1oTF16lTFxcUpIiJC27dvt24fPHiwOnbsqF69eqlXr16aN2+edeyOO+5Qu3btrGPTpk2zjuXk5GjKlCmKj49Xp06d9Pzzzxd4vtmzZys+Pl7x8fGaOXNm2b/AADBDAwAAACgZ8sWF5c8YAAAAgIlC7HzyoUOHatKkSRo0aFChY48//vg5b5eke+65R+PHjy90++uvv67vvvtOGzduVFpamvr06aM+ffqoVatWSkxMVEJCghITExUSEqKBAweqe/fu6tu3b9BfVzDkjxo5Pslj20gAAAAAM5AvLox9+gAAAGA6WxsaPXv2DOr5li1bpltvvVUej0e1a9fW8OHDlZCQoAceeEDLli3T6NGjFR4eLkkaO3asli5dWmTgSE9PD+oYLyQzM9P6M9OX19I4lZ6ubA+rgzlR/prBDNTMPNTMLNTLPNTMPHbXLCwszJbnLQ4T8oVkX8bIycmWJJ3OyirXMaBk7P6Mo2Sol3momXmomXmomXnsrFlJ84WtDY0LmT59umbMmKHWrVvr4YcfVtOmTa1j8+bN00svvaSYmBg9+OCD6tChgyRpz549iomJse4XGxurpKQkSVJycnKBgBMbG6vly5cXOY59+/YpOzs7SK+qeFJSUnTidN5z7k5OVhUaGo6WkpJi9xBQQtTMPNTMLNTLPNTMPHbUzOPxqHnz5uX+vMHglHwh2Zcxjh87Jkk6ejRNycnJ5fr8KDn+XTYL9TIPNTMPNTMPNTNPedesNPnCkQ2N+fPnKzo6Wj6fTwsWLNCoUaO0YcMGSdK0adPUoEEDud1urVy5UiNHjtTGjRtVvXp1SXkb3UmF95640LHzadSoUaAvp9gyMzOVkpKiqKgoZcolaaMkqXHjaFUNZdEpJ8pfM6/Xa/dwUAzUzDzUzCzUyzzUzDzUrOSclC8k+zJGzRpHJKWoeo0aBRo1cBY+42ahXuahZuahZuahZuYxqWaObGhER0dLyg0I48eP17Rp03T48GFFRkYW+PI/ZMgQ/fWvf9WPP/6o+Ph4RUdHa/fu3ercubOk3Kum/OeKiYnR7t27rcfmP3Yhdkyp93q98rjzSuOtUkVhXkeWCmd4vV5HL7+AwqiZeaiZWaiXeaiZeahZ8TkpX0j2ZYzQ0NxM4fZ4eO8YgM+4WaiXeaiZeaiZeaiZeUyomePWMcrKytL+/futvy9fvlz16tVTZGSkJGnv3r3WsS+//FKHDx9Ws2bNJOVuAvjiiy8qOztbR44c0VtvvaVrr73WOrZkyRKdOHFCGRkZWrRokUaMGFGOr6xk8l3sJZ/YtA8AAAAoDfJFHn/GIF0AAADAVLZe9j958mStWbNGKSkpGjZsmMLDw7Vu3Tpdf/31yszMlMvlUp06dbRkyRLrMRMmTNCBAwfkdrtVtWpVvfTSS6pVq5Yk6YYbblBSUpK6dOkiSbr77rvVunVrSVLv3r01bNgw9ejRQ5I0YsQI9evXr5xfcfG5C0xft3EgAAAAgCHIFxfmzxglWR4LAAAAcBJbGxpz5szRnDlzCt3+0UcfnfcxF9poz+PxnPN8fvfdd5/uu+++Eo3RLvkmaBA4AAAAgGIgX1yYP2PkEC8AAABgKMctOYVcBWZo2DgOAAAAABVDXsYgYQAAAMBMNDQcKv8eGjnM0AAAAAAQIGZoAAAAwHQ0NByKPTQAAAAABJOLPTQAAABgOBoaDpV/Dw1maAAAAAAIlL+hQb4AAACAqWhoOJSLPTQAAAAABBE7aAAAAMB0NDQcLG+NWyIHAAAAgMC4maEBAAAAw9HQcLC8NW5tHggAAAAA4/kngZMvAAAAYCoaGg7m9gcOJoUDAAAACJB/hgbpAgAAAKaioeFgLjFDAwAAAEBwsKQtAAAATEdDw8GsGRoEDgAAAAABcltrTtk7DgAAAKC0aGg4mItN+wAAAAAEib+fQb4AAACAqWhoOJibC6gAAAAABImLPTQAAABgOBoaDubfQ4MrqAAAAAAEij00AAAAYDoaGg5mLXFL3gAAAAAQIP8eGuzRBwAAAFPR0HAwaw8NJoUDAAAACFDeHhr2jgMAAAAoLRoaDuafEs4FVAAAAAAC5V/S1scFUwAAADAUDQ0Hc7NpHwAAAIAgcbOkLQAAAAxHQ8PB8vbQIHEAAAAACAxL2gIAAMB0NDQcLG/TPpsHAgAAAMB4bmtNW1uHAQAAAJQaDQ0H8+eNHDoaAAAAAALk30ODfAEAAABT0dBwsLw9NAgcAAAAAAJjLWlr7zAAAACAUqOh4WRnAkcOiQMAAABAgJihAQAAANPR0HCwvD00CBwAAAAAAsMefQAAADAdDQ0Hy9tDw9ZhAAAAAKgAXNYMcAIGAAAAzERDw8H8U8LZQwMAAABAoPwXTJEuAAAAYCoaGg7mZg8NAAAAAEHiX3KKGRoAAAAwFQ0NB3P554QTOAAAAAAEyMUUDQAAABiOhoaDWZv22TwOAAAAAObLyxckDAAAAJiJhoaD5W0KTuAAAAAAEJi8fGHrMAAAAIBSo6HhYP4lp+hnAAAAAAhUXr4gYAAAAMBMNDQczGVtCk7gAAAAABCYvHxh7zgAAACA0qKh4WDsoQEAAAAgWNhDAwAAAKajoeFg7KEBAAAAIFjYQwMAAACmo6HhYP4p4fQzAAAAAASKPTQAAABgOhoaDuafEs4MDQAAAACBIl8AAADAdDQ0HMxV9F0AAAAAoFjIFwAAADAdDQ0HczMlHAAAAECQ5OULmwcCAAAAlBINDQdzWVPCbR4IAAAAAOP59+jLEQEDAAAAZqKh4WDWpuAEDgAAAAABcjFDAwAAAIajoeFgLrFpHwAAAIDg8O+hQb4AAACAqWhoOJjbmqEBAAAAAIGx9tCweRwAAABAadHQcLC8PTSIHAAAAAACY+2hQb4AAACAoWhoOJh/Sjh5AwAAAECgyBcAAAAwHQ0NB3MzQwMAAABAkFhLTpEvAAAAYCgaGg7mnxIOAAAAAIFyiT00AAAAYDYaGg7m9gcOEgcAAACAALnPXDDFDA0AAACYioaGg7FpHwAAAIBgcbGkLQAAAAxHQ8PB/IGDuAEAAAAgUP4LpsgXAAAAMBUNDQfzb6HBFVQAAAAAAuXfQ4N8AQAAAFPZ2tCYOnWq4uLiFBERoe3bt1u3Dx48WB07dlSvXr3Uq1cvzZs3zzo2Y8YMXXrpperZs6euvPJKffzxx9axWbNmqUWLFtbjxo0bV+D5Zs+erfj4eMXHx2vmzJll/wID5PbP0CBwAAAAAEUiX1xY3h4a9o4DAAAAKK0QO5986NChmjRpkgYNGlTo2OOPP37O27t3764pU6aoatWq2rZtm6655hp99913CgsLkyTdcMMN5wwTiYmJSkhIUGJiokJCQjRw4EB1795dffv2Df4LC5K8PTTsHQcAAABgAvLFhbGHBgAAAExna0OjZ8+eJX5M//79rZ/bt2+vnJwcHTp0SI0bN77g45YtW6bRo0crPDxckjR27FgtXbq0yMCRnp5e4jGWVmZmZoE//ZdOZZ7OLNdxoPgK1QyOR83MQ83MQr3MQ83MY3fN/P+h34lMyBeSfRkj63Tuzzk+H/nCwez+jKNkqJd5qJl5qJl5qJl57KxZSfOFrQ2NC5k+fbpmzJih1q1b6+GHH1bTpk0L3WfRokVq2rRpgbCRkJCgDz/8UJGRkZoyZYr69OkjSUpOTi4QcGJjY7V8+fIix7Fv3z5lZ2cH/oJKICUlRZKUcSZkHDx4SMnJrgs9BDbz1wzmoGbmoWZmoV7moWbmsaNmHo9HzZs3L/fnDQan5AvJvoyx/+AxSVLm6dNKTk4u1+dHyfHvslmol3momXmomXmomXnKu2alyReObGjMnz9f0dHR8vl8WrBggUaNGqUNGzYUuM/HH3+sJ554QsuWLbNuu/XWWzV58mSFhoZq/fr1Gjt2rD744APFxsZKyptiLRV/X4pGjRoF4RUVT2ZmplJSUhQVFSWv16uqVXdKSlPtyEjFxMSU2zhQfGfXDM5HzcxDzcxCvcxDzcxDzUrOSflCsi9jNPBUk/StQjwh5AsH4zNuFuplHmpmHmpmHmpmHpNq5siGRnR0tKTcgDB+/HhNmzZNhw8fVmRkpCRp3bp1mjhxopYsWaKWLVtaj4uKirJ+7tatmzp06KCkpCTFxsYqJiZGu3fvto4nJydbz3Mhdkyp93q9CgsLU4jHI0kKDQ119NR+5NUM5qBm5qFmZqFe5qFm5qFmxeekfCHZmDGqVMn9i8vFe8cAfMbNQr3MQ83MQ83MQ83MY0LN3HYP4GxZWVnav3+/9ffly5erXr16VthITEzUH//4Ry1evFhxcXEFHrt3717r559++knbtm1T+/btJeVuELhkyRKdOHFCGRkZWrRokUaMGFEOr6j0XGLTPgAAACAQ5Is8/vkk5AsAAACYytYZGpMnT9aaNWuUkpKiYcOGKTw8XOvWrdP111+vzMxMuVwu1alTR0uWLLEec9dddykjI0MTJ060bps/f77at2+vRx99VFu2bJHH45HH49GcOXPUokULSVLv3r01bNgw9ejRQ5I0YsQI9evXr3xfcAn5Z7CTNwAAAICikS8uzL9EVkmWxwIAAACcxNaGxpw5czRnzpxCt3/00UfnfcymTZvOe+zZZ5+94PPdd999uu+++4o9Prv5AwdXUAEAAABFI19cmP+CqRziBQAAAAzluCWnkMftv4LK5nEAAAAAMF9eviBhAAAAwEw0NByMNW4BAAAABEtevrB1GAAAAECp0dBwMOsKKgIHAAAAgAAxQwMAAACmo6HhYNYatwQOAAAAAAHy5wsumAIAAICpaGg4mH9KOP0MAAAAAIFyyT8DnIABAAAAM9HQcDD/lHD20AAAAAAQqLx8YfNAAAAAgFKioeFk/inh9o4CAAAAQAVgLTlFwgAAAIChaGg4mJsp4QAAAACCxOXfFJx4AQAAAEPR0HAwa1NwAgcAAACAAPn36GNJWwAAAJiKhoaD+de4ZUo4AAAAgEDl5QsAAADATDQ0HCzvCipbhwEAAACgAmCGBgAAAExHQ8PBrCuoCBwAAAAAAuTO2xUcAAAAMBINDQfzb9rHFVQAAAAAApW3Rx/5AgAAAGaioeFgrqLvAgAAAADF4s8XtDMAAABgKhoaDuZmhgYAAACAICFfAAAAwHQ0NJzMv8QteQMAAABAgFzWHn02DwQAAAAoJRoaDmZtCm7zOAAAAACYL29PcBIGAAAAzERDw8H8a9wyJRwAAABAoFzyLzll80AAAACAUqKh4WBupoQDAAAACBK3taQtAQMAAABmoqHhYP4p4czQAAAAABAoF0vaAgAAwHA0NByMPTQAAAAABIt/hobELA0AAACYiYaGg/nzBmEDAAAAQKBcyutoMAscAAAAJqKh4WDWlHDCBgAAAIAAufLP0LBvGAAAAECp0dBwMLe1h4a94wAAAABgPreLGRoAAAAwGw0NR/PvoUHYAAAAABCYfBM0RD8DAAAAJqKh4WD+GRpkDQAAAACBcuWboUHGAAAAgIloaDiYP3AwHRwAAABAoPLvoUHGAAAAgIloaDiYNUODrAEAAAAgQPn30CBjAAAAwEQ0NBzMJWZoAAAAAAiO/HtokDEAAABgIhoaDsYeGgAAAACCJf8MDQAAAMBENDQczD9Dw8fVUwAAAAACxB4aAAAAMB0NDQdjDw0AAAAAwVJwDw1CBgAAAMxDQ8PBXC720AAAAAAQHAX30LBtGAAAAECp0dAwAFkDAAAAQKBc+WdokDIAAABgIBoaDuZmhgYAAACAIGGGBgAAAExHQ8PBXOyhAQAAACBIXOyhAQAAAMPR0HAw/wwNpoMDAAAACIa8jAEAAACYh4aGg/mvn2I6OAAAAIBgyMsYhAwAAACYh4aGg1lXTxE2AAAAAASB21rX1t5xAAAAAKVBQ8PB2EMDAAAAQDD5MwYzNAAAAGAiGhoOxh4aAAAAAIKJPTQAAABgMhoaBmAPDQAAAADBwB4aAAAAMBkNDQdzsYcGAAAAgCBiWVsAAACYjIaGg/mng3P1FAAAAIBgcJExAAAAYDAaGg7mnw5O1AAAAAAQDGQMAAAAmIyGhoNZG/aRNgAAAAAEQd6m4IQMAAAAmIeGhoP517dlOjgAAACAYMhbcsrmgQAAAAClQEPDwfKungIAAACAwLmtNadIGQAAADAPDQ0Hy8sahA0AAAAAgXOJGRoAAAAwl60NjalTpyouLk4RERHavn27dfvgwYPVsWNH9erVS7169dK8efOsYydPntRtt92mTp06qUuXLlqxYoV1LCcnR1OmTFF8fLw6deqk559/vsDzzZ49W/Hx8YqPj9fMmTPL/gUGiBkaAAAAQPGRL4rmn6HBHhoAAAAwUYidTz506FBNmjRJgwYNKnTs8ccfP+ftc+fOldfrVVJSknbu3KkBAwaoT58+ioiI0Ouvv67vvvtOGzduVFpamvr06aM+ffqoVatWSkxMVEJCghITExUSEqKBAweqe/fu6tu3b3m81NJhDw0AAACg2MgXRcvbQ4OMAQAAAPPY2tDo2bNniR+zbNky/etf/5IkNW3aVD169NDq1as1ZswYLVu2TLfeeqs8Ho9q166t4cOHKyEhQQ888ICWLVum0aNHKzw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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,16))\n",
"for c,alpha in enumerate(etas):\n",
" costs, w = stochastic_gd(X, t, w_init, eta, epochs)\n",
" max_index = np.max(np.where(costs > threshold)[0])+1\n",
" ax = fig.add_subplot(3, 2, c+1)\n",
" ax = fig.gca()\n",
" ax.plot(number_of_iterations, costs, c= colors[1], alpha=1, lw=1.5)\n",
" plt.xticks(fontsize=8)\n",
" plt.yticks(fontsize=8)\n",
" plt.xlabel(r'Numero di iterazioni', fontsize=10)\n",
" plt.ylabel(r'Costo', fontsize=10)\n",
" plt.text(0.8, 0.9, 'convergenza: {0:d}'.format(max_index), fontsize=12, \n",
" transform=ax.transAxes, bbox=bbox_props)\n",
" plt.title(r'$\\eta$='+str(eta)+r': $c$='+str(round(costs[-1].item(),3))+r'; $w_0$='\n",
" +str(round(w[0][0],2))+'; $w_1$='+str(round(w[1][0],2))+'', fontsize=10)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.gca()\n",
"for c,alpha in enumerate(etas):\n",
" costs, w = stochastic_gd(X, t, w_init, eta, epochs)\n",
" ax.plot(number_of_iterations, costs, c= colors[c+1], alpha=.8, lw=1.5, label=alpha)\n",
"plt.xticks(fontsize=8)\n",
"plt.yticks(fontsize=8)\n",
"plt.xlabel(r'Numero di iterazioni', fontsize=10)\n",
"plt.ylabel(r'Costo', fontsize=10)\n",
"legend = ax.legend(loc='upper right', shadow=True)\n",
"plt.title(r'Convergenza per diversi valori di $\\eta$', fontsize=12)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"def gradiente(X, t, w_init, eta, iterations, n):\n",
" w = np.copy(w_init)\n",
" costs = []\n",
" for i in range(iterations):\n",
" e=np.dot(X,w)-t\n",
" c=np.dot(e.T,e)[0,0]/(2*n)\n",
" dw=np.dot(X.T, e)/n\n",
" w = w-eta*dw\n",
" costs.append(c)\n",
" return costs, w"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"def momentum_gd(X,t, theta_init, eta = 0.1, gamma = 0.97, epochs = 1000):\n",
" theta = np.copy(theta_init)\n",
" v = np.zeros(2).reshape(-1,1)\n",
" cost_history = []\n",
" for k in range(epochs): \n",
" e = np.dot(X,theta)-t\n",
" v = gamma*v - eta * np.dot(X.T, e)/n\n",
" theta = theta + v\n",
" cost_history.append(np.dot(e.T,e)[0,0]/(2*n))\n",
" cost_history = np.array(cost_history).reshape(-1,1)\n",
" return cost_history, theta"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"w_init = np.array([0, 0]).reshape(-1,1)\n",
" \n",
"iterations = 150\n",
"etas = [0.01, 0.03, 0.1, 0.3, 0.5, 1]\n",
"\n",
"number_of_iterations = range(1, iterations + 1)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"gamma=.7"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(16,16))\n",
"for c,alpha in enumerate(etas):\n",
" costs, w = momentum_gd(X, t, w_init, eta, gamma, iterations)\n",
" max_index = np.max(np.where(costs > threshold)[0])+1\n",
" ax = fig.add_subplot(3, 2, c+1)\n",
" ax = fig.gca()\n",
" ax.plot(number_of_iterations, costs, c= colors[1], alpha=1, lw=1.5)\n",
" plt.xticks(fontsize=8)\n",
" plt.yticks(fontsize=8)\n",
" plt.xlabel(r'Numero di iterazioni', fontsize=10)\n",
" plt.ylabel(r'Costo', fontsize=10)\n",
" plt.text(0.8, 0.9, 'convergenza: {0:d}'.format(max_index), fontsize=12, \n",
" transform=ax.transAxes, bbox=bbox_props)\n",
" plt.title(r'$\\eta$='+str(eta)+r': $c$='+str(round(costs[-1].item(),3))+r'; $w_0$='+str(round(w[0][0],2))+'; $w_1$='+str(round(w[1][0],2))+'', fontsize=10)\n",
"plt.tight_layout()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8",
"language": "python",
"name": "python3.8"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}