{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 1A.e - Enonc\u00e9 22 octobre 2019 (1)\n", "\n", "Correction du premier \u00e9nonc\u00e9 de l'examen du 22 octobre 2019. L'\u00e9nonc\u00e9 propose une fa\u00e7on de disposer des tables rondes dans une salle ronde."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On sait d'apr\u00e8s les derni\u00e8res questions qu'il faudra tout r\u00e9p\u00e9ter plusieurs fois. On prend le soin d'\u00e9crire chaque question dans une fonction. C'est un mariage dans une salle ronde. On veut disposer les tables de sortes qu'elles soient \u00e9loign\u00e9es le plus possible les unes des autres et du bord de la salle. Les tables sont toutes rondes et toutes la m\u00eame taille."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q1 - distance_table\n", "\n", "Ecrire une fonction qui calcule la distance entre deux tables rondes dont on conna\u00eet le centre. Et comme ce sont des tables rondes, on consid\u00e8re que la distance entre deux tables est la distance entre leurs centres."]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"text/plain": ["2.23606797749979"]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_table(x1, y1, x2, y2):\n", " return ((x1 - x2) ** 2 + (y1 - y2) ** 2) ** 0.5\n", "\n", "distance_table(0, 0, 2, 1)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q2 - distance_bord\n", "\n", "Ecrire une fonction qui calcule la distance entre une table (son centre) et le bord de la salle de rayon *R*."]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"text/plain": ["3.585786437626905"]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_bord(x1, y1, R):\n", " dist = distance_table(x1, y1, 0, 0)\n", " return R - dist\n", "\n", "distance_bord(1, 1, 5)"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": ["-5.04987562112089"]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}], "source": ["distance_bord(10, 1, 5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q3 - table_alea\n", "\n", "Ecrire une fonction qui tire al\u00e9atoirement une table dans le cercle de rayon *R*."]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.04023026006364461, -4.613278941761477)"]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}], "source": ["import random\n", "\n", "def table_alea(R):\n", " R2 = R ** 2\n", " dist = R2 * 2\n", " while dist > R2:\n", " x = random.uniform(-R, R)\n", " y = random.uniform(-R, R)\n", " dist = x ** 2 + y ** 2\n", " return x, y\n", "\n", "table_alea(5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On peut utiliser une autre fa\u00e7on en utilisant les coordonn\u00e9es polaires."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.2697993898932539, 0.07781479211233774)"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["import math\n", "\n", "def table_alea_pol(C):\n", " t = random.uniform(0, math.pi)\n", " y = random.uniform(0, C)\n", " x = math.cos(t) * t\n", " y = math.sin(t) * t\n", " return x, y\n", "\n", "table_alea_pol(5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q4 - n_table_alea\n", "\n", "Ecrire une fonction qui tire al\u00e9atoirement *N* tables dans le cercle de rayon *R*."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["[(-2.104239515207136, -1.7109081402403072),\n", " (-0.46932352351540807, -0.3259610442266929),\n", " (-1.1743368223886739, 3.2821629999494295)]"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["def n_table_alea(N, R):\n", " return [table_alea(R) for n in range(N)]\n", "\n", "n_table_alea(3, 5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q5 - table_proches\n", "\n", "Ecrire une fonction qui retourne la table la plus proche d'une table ou du bord. La fonction doit retourner l'indice de la table la plus proche ou -1 si c'est le bord, puis la distance associ\u00e9e. On ajoute un param\u00e8tre *skip_i* pour \u00e9viter une table dans la liste ``list_tables``."]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0, 1.7403604958859722)"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["def table_proches(x1, y1, list_tables, R, skip_i):\n", " proche = -1\n", " best = distance_bord(x1, y1, R)\n", " for i, table in enumerate(list_tables):\n", " if i == skip_i:\n", " continue\n", " dist = distance_table(x1, y1, table[0], table[1])\n", " if dist < best:\n", " best = dist\n", " proche = i\n", " return proche, best\n", "\n", "R = 5\n", "list_tables = n_table_alea(3, R)\n", "table_proches(1, 1, list_tables, R, None)"]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"text/plain": ["(-1, 0.5)"]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}], "source": ["table_proches(R * 0.9, 0, list_tables, R, None)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q6 - distance_n_tables_alea\n", "\n", "Ecrire une fonction qui tire *N* tables al\u00e9atoirement et qui retourne la distance minimum entre deux tables ou le mur et les tables."]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [{"data": {"text/plain": ["(1.151393678876878,\n", " [(-0.0883943109284333, -3.2251498896276685),\n", " (1.9591970274173125, -0.8759281350069976),\n", " (0.8362221630472657, 3.7566611650530053)])"]}, "execution_count": 11, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_n_tables_alea(N, R):\n", " distrib = n_table_alea(N, R)\n", " best = R ** 2\n", " for i, table in enumerate(distrib):\n", " proche, dist = table_proches(table[0], table[1], distrib, R, skip_i=i)\n", " if dist < best:\n", " best = dist\n", " return best, distrib\n", "\n", "distance_n_tables_alea(3, R)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q7 - meilleur_table_alea\n", "\n", "Ecrire une fonction qui tire *N* tables al\u00e9atoirement et qui retourne la distance minimum entre deux tables ou le mur et les tables."]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [{"data": {"text/plain": ["([(-1.0002849316792242, -3.5208215962264875),\n", " (1.537577072452744, -0.650373925673775),\n", " (2.339568894819979, 0.31652883529303466)],\n", " 1.256221251336387)"]}, "execution_count": 12, "metadata": {}, "output_type": "execute_result"}], "source": ["def meilleur_table_alea(k, N, R):\n", " dist = 0\n", " best = None\n", " for i in range(k):\n", " d, distrib = distance_n_tables_alea(N, R)\n", " if d > dist:\n", " best = distrib\n", " dist = d\n", " return best, dist\n", "\n", "meilleur_table_alea(10, 3, R)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q8 - r\u00e9sultat num\u00e9rique\n", "\n", "Ecrire une fonction qui retourne le r\u00e9sultat pour 11 tables et une salle de diam\u00e8tre 1."]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"text/plain": ["([(0.5565818929001787, 0.05896867240161785),\n", " (-0.5288969098327476, 0.28733719348942466),\n", " (-0.6110699282390006, 0.32241732345580165),\n", " (-0.14909553247181195, -0.9356539992681199),\n", " (0.026230694145464417, -0.2908024901550055),\n", " (0.4975323234658624, -0.06918255935350293),\n", " (0.60937258121247, 0.16579629631884596),\n", " (0.22654870937824634, 0.12601838486539685),\n", " (-0.651232619461013, 0.05440550117493803),\n", " (-0.25693188063963546, 0.044795815889184576),\n", " (-0.07316443943516515, 0.8533292769508105)],\n", " 0.0525413549133239)"]}, "execution_count": 13, "metadata": {}, "output_type": "execute_result"}], "source": ["best, dist = meilleur_table_alea(10, 11, 1)\n", "best, dist"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q9 - plot_tables\n", "\n", "Ecrire une fonction qui repr\u00e9sente la solution avec matplotlib en partant de l'exemple donn\u00e9e."]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "from matplotlib.patches import Circle\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "R = 1\n", "ax.set_xlim([-R, R])\n", "ax.set_ylim([-R, R])\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best], [b[1] for b in best], 'o');"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q10 ...\n", "\n", "Il est difficile de tomber sur une bonne r\u00e9partition de tables en partant du hasard et plus il y aura de tables, plus il faudra de tirages. On peut aussi chercher \u00e0 positionner les tables selon un quadrillage hexagonal en formant une spirale et de chercher le meilleur \u00e9cartement. On peut aussi partir d'un tirage puis d'\u00e9loigner les deux tables les plus proches. L'\u00e9loigner de combien, c'est une autre question. C'est la premi\u00e8re option et elle ne marche pas tr\u00e8s bien."]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["0 paire (4, 5) distance 0.16110855450954664\n", "50 paire (4, 6) distance 0.13158100390586172\n", "100 paire (4, 5) distance 0.2384176552949989\n", "150 paire (4, 5) distance 0.218691822411302\n", "200 paire (4, 5) distance 0.19838094003303594\n", "250 paire (4, 5) distance 0.2162723387696761\n", "300 paire (4, 10) distance 0.20826241454101815\n", "350 paire (4, 5) distance 0.2094900548253301\n"]}], "source": ["import numpy\n", "\n", "def improve_distrib(iter, tables, R, alpha=0.2):\n", " \n", " for it in range(iter):\n", " \n", " # On cherche la pair la plus proche.\n", " best = R ** 2\n", " pair = None\n", " for i, table in enumerate(tables):\n", " proche, dist = table_proches(table[0], table[1], tables, R, skip_i=i)\n", " if dist < best:\n", " best = dist\n", " pair = i, proche\n", " \n", " if it % 50 == 0:\n", " print(it, \"paire\", pair, \"distance\", best)\n", "\n", " # On choisit une table.\n", " if pair[0] == -1:\n", " i = 1\n", " elif pair[1] == -1:\n", " i = 0\n", " else:\n", " i = numpy.random.randint(0, 1)\n", " \n", " pi = pair[i]\n", " if pair[1-i] == -1:\n", " pjp = (0, 0)\n", " sign = 1\n", " else:\n", " pjp = tables[pair[1-i]]\n", " sign = -1\n", " \n", " # On calcule le vecteur entre les deux tables.\n", " dx, dy = (pjp[0] - tables[pi][0],\n", " pjp[1] - tables[pi][1])\n", " \n", " # Un peu d'al\u00e9a.\n", " h = numpy.random.uniform(0, alpha)\n", " dx *= h * sign\n", " dy *= h * sign\n", " \n", " # On bouge la table.\n", " table = tables[pi]\n", " tables[pi] = (table[0] + dx, table[1] + dy)\n", " if distance_bord(tables[pi][0], tables[pi][1], R) < 0:\n", " # Table hors du cercle\n", " tables[pi] = (table[0] - dx, table[1] - dy)\n", "\n", "\n", "R = 1\n", "best_sol, dist = meilleur_table_alea(10, 11, R)\n", "improve_distrib(351, best_sol, R, alpha=0.5)"]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "ax.set_xlim([-R, R])\n", "ax.set_ylim([-R, R])\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best_sol], [b[1] for b in best_sol], 'o');"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q10 - Vorono\u00ef\n", "\n", "On peut aussi \u00e9carter une table de ses voisins les plus proches, voisins trouv\u00e9s gr\u00e2ce \u00e0 un diagramme de Vorono\u00ef ou \u00e0 une triangulation de [Delaunay](https://fr.wikipedia.org/wiki/Triangulation_de_Delaunay)."]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": ["from scipy.spatial import Voronoi, voronoi_plot_2d, Delaunay\n", "points = numpy.array(best_sol)\n", "vor = Voronoi(points)\n", "dela = Delaunay(points)"]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best_sol], [b[1] for b in best_sol], 'o')\n", "voronoi_plot_2d(vor, ax=ax)\n", "ax.triplot(points[:,0], points[:,1], dela.simplices.copy(), \"--\", label=\"Delaunay\")\n", "ax.set_xlim([-R, R])\n", "ax.set_ylim([-R, R])\n", "ax.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On ajoute le bord."]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": ["N = 12\n", "bords = []\n", "for i in range(0, N + 1):\n", " bords.append((R * math.cos(i / N * math.pi * 2),\n", " R * math.sin(i / N * math.pi * 2)))\n", "points2 = numpy.vstack([points, bords])"]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"data": {"image/png": 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8u3fvvm7zOkSJpBwjZ/YfIenNaci0WqJmvIUyMhJBrgCFAlW9ejhycjCfPn3d1uXjo6Nnn/5cPH+22n0D77uXOm/PQFlNPx1Vw4ZYzp9Hcp2c0SN+WrOS1cu/8dp4VSEa9MhDQwh9cjwyPz8AJJMZTYuWRH/0EQEDB2KyivyVXkh6gfm67nKWLl3KmDFjuHz58k1hhf3Hm74rY8CAASxfvpwlS5bQs+e18fcoTb7JRkqeCcOp06S9NQNZQABR06ehCL2S0jV45AhUjRohDw52ptO8jrz/6VfV7iOaTcg0WtRNXEdVV4YqNhb9zp04cnJReEmPsH/3DkaOftwrY7mDIiSUqBkzEBCwpacR9PAo5EHOXZUi1GmRs1y4QNbcudj+8zL5daOJCdLio7q2X71FixYxZcoUtm/fftNYX/+1O5ti+vTpw4IFC0hMTGTbtm3XZA67Q+RStpFL2UbsDgl5UBDqZs2ImvFWGUEDEHDPULRxbUoEjTef+lVRkJfHtEnPud3eeOR3ksY/ieXCeY/m07ZrS/Dj4xBU3rEamUxGjh0+xC3denhlvMqQRAc5K5bjyMstSaGhjIgk8J6hLvL0SNizskh9400KL1zibIaBlDzTNd3lCILAjh07bqok7/96YVNMVlYWDz74IOvXr/fquGabg7OZBvJNNiwXLyBJIoqwcCLfeMNl8ih7TjaOvFwkJDI++oicb67fkcDX35+ft20i+eKFKttKDjs5ixcj8/P1OORAVSeagAEDkfv6edT/amSCjA+/XIqvn79XxquMgk2byf9+JaYTf5Rckxx2bOlpOAz6Mm3VDRoS+dZ0JFEk9c2pWC5dJFtv5WymodI0rJ4wd+5cVq9ezZgxY2jWrJlXx64ptcKmiK5du7J+/Xoee+wxfvjhB6+MmWe0kpihx2oXMR7+jdRXXiV/9epK+6S9OZXsRYudT0vRgX7bdkSL2SvrqQqZTMatPe9g/56dVbYt3L4DW1IywQ8/jKDwfGdiy8jwmm4q5XIS7Tp18cpYlWHPziJv2TJnYrHuV6w7jvx8kic8jcGF0UFdrz5Rb01HEATSpk7DmnIZk9VBYoYeg8U7hoAPPviAOXPm0LHj9bNiVgdvld8dIAjCmaLyuq+6uD9HEIQjRf/+FAQhr9Q9R6l7a72xHk/p3LkzGzdurHGmP0mSSM03kZRjQpLAcPAA6bPeR1m3Ln79+lXaV1CrnVHbgH///oh6PYZ9+2q0nurQrWdvTh4/Umkbh8lI7ooVqFu2wKdLzb7cucuWkfHhnBqNUcxLTzxM4plTXhmrMrK/+gpJkgh54vEyWQiFIsdLyeT64aCKjiHq7Rn43NIJRVGoiUOUOJ9lIEtfM7+vBQsWMH/+fH7++Wfq179+Ef7VocZaKkEQ5MCnQF+cpVkOCoKwVpKkk8VtJEl6sVT7Z4H2pYYwSZLUrqbr8BYdOjgLPbz33ntER0fz8MMPV6u/3SFyKceIweI0dRr2/0LGhx+him1I5JQpJfWQKkSpLBE26pYtUdWrS8Gmzfj17lP9N+MBd91zH4OG3l9pG2PCr4j5+YS89lqNU36qYxti2LsXR2EB8hocf9JSksnOzKBFXNsaracqDAcPYPz1AEEPj0IZEVnmXrGXt2gyVdhfGRlF2ISnAWeCMXt6BupGjUjNM2OyOogO1JYrRVMZkiRhNpuJj49n0KBBREVFefCurg/e2Nl0BhIlSTonSZIVWIGz3G5FjARu+upyQ4YMYfLkySxcuNDtPiarg8RMfYmgcRQWkDX3U9SNGxP55ptVCxpAplKVCBsBAd/+/bGePessa3IdkMlkrF25nD9PVRzS4XfHHUR/OAd148Y1nk8VW5xuwjMlczH7d++ka/fbkcuvbWY9TZOmBAwdSsDdg8vdE2RyBLUa0ezesTdr/nzS3nwT82nnbizPaONclt5tPY4kSbz22mtMmDCBsLCwm1rQgHdM365K6LrcWwuCUB9oCOwodVkjCMIhwA68J0mSZ26sXqZly5bs2LGDO++8k6ioKAYOHFhp+zyjleRcU5nKBXI/fyLeeANVg/pu5+AVlEocBkPJa99evRDz8pCHXD8X8wM5u/jxwkIsKRZCNeHcHzue7lHO458jPw95QCCqut7JD6Rq2BAA67lzaNt4vitp1iqO2KbNvbKmipCQkAcGVuq8KGi1SJXsbEoTMmYsaRcukjbjbSImT0bbujUmq0hihp56IT74qiv+ekqSxMsvv8zOnTvZunVrtd/LjcAbOxu3S+gCI4CVkiSVdqesVxRF+iDwoSAIjVxOIghPCIJwSBCEQ5mZmTVbsZs0bdqUffv20adPH/Lz8ytsl5ZvLtHPABRs20rhju0AaJo3r1ayb7+BAwmMH1LyWq71IWjESBRB10fY7E3dQlLjv7CozIBEljmdBadnsTd1C5bEv0h6YjzG3w97bT65rx+KsDAsNdjZOBwOYuo2oG2HW7y2rquxJCaSOuUN7JmVxzsFjxpVRmlcGYrgYKLeegtleBjp77yDsShPkUOUuJBlILsSPc7+/fvZt28fO3bsIDT0xkXYVwdvCJuKSuu6YgRXHaEkSUop+nkOZ+nd9uW7OWt9S5LUSZKkTmFhHtU194i6deuiUqmIj49n9uzZ5e4n5xrJLLzyocjftJHsz+dh/PWARz4yuk6d0N3arcw1CQnDoUMYDvxa/TdQTb479wV2bGWuWUUL3537wmkl8/VF3dy7TmJhL75AcDV1Y6U5eewIY++7dnlZJIedrHnzsKenI1RRCNHvjjvQtqo4l8/VyAMDiZw+HWWdOuQsWoTkcFqmJAlS8sxkFJY9komiyC+//EK3bt3Yt28fQRVkIrwZ8cYx6iDQRBCEhsBlnAKlXLV6QRCaAUHA/lLXggCjJEkWQRBCgduA8nVZbwKWLVtG7969sVgsTJkyBUmSSMoxkW+68sXMX7eOnMWL8encmbCXX/JIeWrPycZRqEddyqIgIJD/ww+I+fn43HKLW1HV1UUURQ4l7CXLlO5yr5plTsdyGkKeerJaBercQdOsZsef/bt30LX77d5ZjAsK1m/Aev484RMnVplq1ZaehmSzoYpxPzGY3D+AyOnTkMxmZ8hKKdLzLYgiRAZocDgcPPbYY1y6dIlt27b97Wrc1/hTK0mSHWcd783AKeA7SZL+EAThLUEQhpRqOhJYIZV1m2wBHBIE4SiwE6fO5iQ3IdHR0fz888+sXbuW8+cvcDHbWEbQ5P3wg1PQ3Hor4S+/jMxD35O8VatImzat3HX/Af2xpaZiOnbM07fgksz0NBbM/R+De3bkvTdfRevQuWynzAdbnagy2eu8hUNfSP6GDVgvJ3vU/1qmlLBlZJD73Xf43HKLM1tfFWR/uYDMT+ZWex65rx+K0DAkSSRr3ucYfrni7pBZaOFiViGPPPIISUlJrFu3Dpns7+ci55UVS5L0kyRJTSVJaiRJ0jtF196UJGltqTbTJEl69ap+v0iSFCdJUtuin9UPzrmOREZGsn9/AqIuhA0bNpR1NxdFdD16EP7iCxUWvXcHQamEImtUaXxuvRWZvz+Fmzd7PHYxdrudn7dt4vnHHuSePl24nHSR9z5ZwKqt+xjb5mVUMnWZ9kpJiXqDnid2bWDpwi+wejkXkGSzkbNwYUlu5epya4876Ni1W9UNPSB/9SoEIGTcOLd2qoJWi+SmNcoVksWKNfkyGXM+RL/nSoBwcnoOat8A1q9fj07n+oFws/P32ofdYERR4mKOkay8QuZ+8A4Je3bx4tMvoQwLI3D4cCRJrPERR1CqEF2klpAplPj16U3+mrXYs7M8SruZfPECP/zfUtZ8t4yomLoMG/Ew7348H59SJvliq9N3574g25xBSJE1quusDpzLTOeT92ew7KvPeeqlydw97AGvmJoVQcHIggI9Mn/b7XbGvzCpxmuoiOBHH8X39jtKgiqrQqbRuG36rqh/5JQppL/7LpkffYzFaOKbw/t57OkXefGNd8kySdT1fnHR68Lfby92gxBFiQvZBgwWBz4+Or5cvoZDm3/ijcF9saQ5C9x7Q5ciqFVgt5coCkvj168fivBw7BnuZ4CzWixsXLOKx0fG89CQPpiMBj5fuopvftzC0BEPlxE0xXSP6sfHt61iWZ89/LfJZ3SP6ociNJSmLVrxyaIVzPxoPquXL+Hefrexc/MGrwQUqmNjsZ6rvrCZNfVVVn77dY3nvxqHyYRoMSNTqdE0d1+nJKuG6bvCMTQaIl6bjLxVK/7z8gTOHdiPpsiimWe0kZxrrNH4N4ranY0bFO9oip31JCTsq1YzNaIBG3VKhGDvWQRkRXlzJZutnLJQGR5BzKdz3drOJ545xerlS9jww3c0axXH8JGj6d1/ECq1usq+xVhTLnP5xZcIeexR/Pv1L7neofOtLF61kT07tvDRe9P56rMPeeHVqXS6tbvbY1+NqmFD8o8cRbRaSsrhVsbe1C18d+4LMu9II1nxJ5GpUSW7Mm+Q+/XXmE+coM6c/yFTqtzuJ2g0iCYTElLNvKuVKmYmHsMvIoJ3pr6LUnVlDbkGG2AkJsi9umA3C7XCxg2Sco3ozcUmSZHsL+ZTuHUrkfcM5eUxo7l88SLLF8/npSkzanys0HboQFhQUIV6HwEB0W5DzMsvt7U3GvRsWrea1cu/Ie1yMvH3P8SytduJqd/Ao7XkfrMUmVKJrnN5xaggCPTs05/ud/Rl45qVvPGfp2kQ24TnXnmDFq2r75ynbhgLoogtJQV1g4aVtt2buoUFp2dhFS0IgkC+I4cFp2cBeEXgmE+fonDrVvwHD66WoAGc1Ufr13Parj1MWCWKIjKZjLETXqBT1+4lnynLxQuoi/6WuQYbcpmJqIC/z5mq9hhVBWn5ZgpMV440BZs3U7h1KwHDhhE8ZjQCAsFhYfx5+g9ee3489hqm8lTVrYdvz16VRlKnTnmDzE8+AZyepMd//43przxP3y6t+HnrJh5/9mU2JRzn2UlTPBY0phMnMB44QMCwYcgrCUyVyWQMGno/a3cepFef/jw9+n4mPf0Yl85XL92ntmMH6i/9plJBoy8s4PCB/Sw69l+sYlkldbEvUE2R7Day5s1DHhZK0IgHqt1f3aAButu6e3yk1hcW8Oh9gzhy6Fe63NarRNCYjh8j5aWXyVu1qqRtVqGVHEN5Y8LNSu3OphJyDdYyDnsAfnfeiVynQ9ejR8k22cdHxycLV/DiEw8zbeKzNSqL4igswJaUhCq2UYXlW3RdunBp8SK2/u891mxci9lkYtjIR/hx+6+EXRUc6AmSJJLz9WLkYaH43z3IrT5KlYoRYx5nyH0jWbrgc0bF30nfQffw5AuTCIuILDn2ZJkzyoVAgDMnMcri+SUuJ13kz5MnOH3yOH+ePMGZUyfIzsykcbMW8Lxra1iWuebVDPLXrMGWlEz4a5Or5fldjKOwAOuFC6ibNKl2/4L8PJ4cNZyWce1oc5U3tKZlS3Q9e5L77bdIdjuBD9yPgEBKngmVQlZpaMPNwr+mSF11MVjsnM8yIEkg2e3krlhBQPyQSiOTrRYL58/+SdMWrbHb7R7VLTLs38+WH2ew4y4V2fbsMl9MURQ5uH8Pq5Z8xZ7NP9G1ZRtGTplGp67dvep3YU1OJvX11wkZNw7fHp5lvcvNyearT+ew5rtl3P5sf5Ka/FVmN6KSqRnX/BU6BfYg8cwpTp88zoktG/nrrzOcz83GR+dLs5atadqiNc1atqZZqzjqNYhFLpfz3L7hZJnTy83pyHXwmOYV+g6K9yjnroRE+lszEHQ6Il5+2aP3bUhIIGP2bOr897+oGzSoVt83X34anZ8fk6a+63L9kugg67PP0e/cScCwYQQ99CACAnKZQKNwHWrFtQ1ChZoVqasVNi6w2B2czTDgECVEu43M//0P468HCH32mTKFySpi3aoV/Hh0CT79NGRbMl0+ySti+y/zWFKwFFspOaUUVDRJbsP++T+j0WoZ/uBoOqdlozx5irpffnlNCtg59IXIdLoaW9jSUpKZdPhh7FpbuXtinsTZV87SoFFjmrZsTYzBTJ1Ll+mxZCnB4REVjllaZ1OMSqamj+IefnxrOcGhYUx+631im1Q/U50kiUgWi0e7GgDj0SOkvzWDqHjgTBEAACAASURBVHfecduKlZOdhVwmR6lSovXRVSooy+gMp08vKXOsVspoFOZ7zeuO10TY3Px7r+uMQ5S4mG10ChqblYzZszH9dpjgxx5zS9AABHQNwOxbiMlSAFASzAiuFZiSJGG327FazKwyrS8jaABskpU/g48xa+5XtGrbHkEQMJ8+Reqh3zAeOoRvd8+tQFdjuXgBVb16XkvVGVknBvsp13osWaDALycvlVha9Hv3kjlnDroqTMcV+QJ1j+rHyI1PseLrLxl7710Mue9BnnxhEjo33ovpjxOooqORBwYheChooFROG7N75u+sjHQeHxnPg2PHc9+osVW2FwQZIU+Ox6dr1zL11C02Zx6lBiE+N0UlBVfUCptSSJLEpRwjFpuIaDGTMet9TEePEvLkk/j37ev2OCsvLEBSlN0xWkULn+5/i/9++iYWsxmrxYLFYsZisWC1mJHJZKjUGhrOre/yw+LQ2mjdrkPJa3Xz5tR5711UTZp4/oavwp6TQ+prr+M3oD8hDz/itXFDNeEujz2hmogyJt0r6SbOl1hdKqJ7VD+XgluhUDDqsacYMHgYH747jfg7uvDS628xMH54hV9CR2EBGbM/QN2kMZGvT6nGOyuPUBQ35o6vTXpqCo+PjGfQPfe5JWhK5kDAp50z35wlMRH93j0Ejx6N3mwnJd9MdODNaaGqFTalSMk3XzFxm0zYMzMJffrpascDVaSoFAJg9meLUKs1qNRq1BrnT5VKXRJU9+yueLId2eX6hmjCy46F4FH5lMrIXbEcyW7Hv6/3/FUA7o8dz/yT75aJJlfJ1NwfO75MO2WdKGQajbNw3R3u7SIrIjQ8grfnfM7vBxN4942JrFy2iMkzZtOkeflqAzlff41oMhFUg8jzYoqPX2IFqUFL8/vBBO55YBSPPvW8x/OZjh6hYN16RL2e0AkTyNFbUStkhPq67091vagVNkXkGKzk6K2IZhOCUok8MMjp0OVBQGVlT/LGzSpPz3Bfw3EsTPwf1iq+mCXrXroUyWwmZNy4aq+zNJYLF9Dv2In/3XejjKy5Ras03aP6serbxeS3ysKiNJU59pRGEGRoWrf22D/FFe1v6cryDbv4fukixo0YwqB77uOpl17Fzz8AANOJ4+h37iJg+HDU9Wqeu1ceFEj45MmoGzYoc720NS5QEUwr/S08PaRmuyiAwOH3IokieSv+D8nuIOzZZ0jLN6NRym86C1Wtnw1OhXBKngmHQU/a9LfImuf01/A0cvv+2PEohbLOYJUJjNL0rD+YcS0nE6pxKkjFPJFxzSdVqFwWTUYKt23DUVjg0VrBaYXJ+XoxMp2OwHvv9XicirDb7Rxe8iszWn3Jsj57+Pi2VRW+n4jJkwl59FGvzi+Xyxkxehw/bE/AYNBzzx1dWLtyOQ6LmS3rZzJ7dA7PRHzOc/uGszd1S43mkilV6Dp1KhO7VqzQdj6AJPLs2SSottZ4rmKC7rufoFGjMOzZQ8aHHyHa7CTnOvWONxO1wgZIzjVhLywkbfpbWM6dw+cWj5TtJXSP6kfMX41RWTQICIRqIhjX/BW3rFGS3UaH1BD+2+QzlvXeQ+EcE8GZFVtm/Pr1R7LZ0O+ouvxKRYgFBdgzMwl84AHkVSSH8oTfD+4nMjqG6Lo3Nut/cEgo02d/wocLlrF80XwemTKQVR0uk6ezcXVWwppgPPwbpnPnMBoNZGdm8O2fn5ZzQnTIHF5xQiwmcOhQgseMgSKnUpvdWeHjZuLm2mfdADILLRRm5ZI2bTq25GTCJ01E17FmwsZut5Mwfzfzl/9Io2rmxRUtFtLfmUnw2DEE3D2Y/oOHsWndalq2cV2AQl2/PuqWLSjYsgX/IYM9MlXL/QOI+fBDXGd4rTnbN62nT/+73Wprz8km/Z2ZBA4fhq6be+k1q0tc+44sXbuNJ7YNwiQvW1DOKlpYevoTVOc1GA0GTEYjRqMBo0GPyWAo+r/zdfH/TUX3jUX3DTnZWBwiaq0WH52OqNnhLpXT2V5wQixNwODB+N89CEGQ4SgsINumwV+rxF/jnYqjNeVfLWzMNgdp+SbSZ76LLSWF8MmTS7T8NWH/np1E1ImutqABEIqsM5LN+YQaMGQYz459gBdfm16hNcW//wAy58zBdPRYtddvSUxEGRNzTXx1wGnh27FpA59/s9Kt9nL/AGyXL2NOPHvNhI0kieQtWoSpod7l/XxHLvPmzMJH54uPjw6tToePToePjy9+/gFERNVBq/XBR+frvOdTdL+offbrrxHYpi2RzzkVvxU5IV6t9PcGgiBDsttJmzYdeUAAitdepVndEBTyG3+I+dcKG0mSikL1BYIeegiQ0LaO88rY675fzpB7R3rUVyiO+i5KUNWkeUu0PjqOHT5I246dXfbx6doF/0GDUFQzN7PDaCDtnXfQxLUm4iXPPGar4uSxI6g1Grcd7ASFAmX9+k6L1DWicNt2CjZuJHhCADmUT2Qfpo3g4+9XuejpHhZfPwTLlZil+2PHl3NCBKf/1XP7hrvt8OkugkKB/6BBZH32GZdnvINu+hQaxNz4pOg3XtzdIC4nXiJji7MCgrZ1a68JmoK8PPbu2sbAIcM96i8gIKhUSHanNUoQBPoPHsqmdRWX7ZUplIQ8+iiq6OhqzZW/ejViYSGB99zj0VrdYdvGddw5cHC1HM3UDRtiPX/eo4TxVeHIyyX3m2/QtG7NiJbPlctK6K4ivzKuztbXPaof45q/UqL0L/22vKUnuhq/3r0Je/45zCdPcub1aWRn5np1fE/4VwqbvPMXOf7SZHIWLa6RFccVm9atpluv3gTUIOu9oFIhlXoyDhg8jK3r1+BwOCrpBZbEvzAkJLg1hy0jg4J16/Ht1Qt1rMvqOV5hx+b19HZTX1OMKjYWUa/HnuH9kj3ZixYhWa2EjH+C7lH9Gdf8FXSSP0hUS5FfGXKttlxVzOKEZKGaiHKqMW9FrF+Nb4+ehL/0IpbERI7N/hibw73id9cKrxyjBEEYAHwEyIEFkiS9d9X9McBsnNUXAOZKkrSg6N5ooNjh4G1Jkryfdq0U5gsXOPj0RBwWm7NKZQ1Kvrpizfff8mQN01SGT5qIIvhKnaiGjZsSFBLC7wf2V5qgKu/7lZgTE/Hp1LHSFBXgrLGNXE7Qg54d99zh3F9nMBoMtGrrsjpPhaibNUPXowe4yFZYE4xHj2DYu4/AkSNQ1XHuArtH9aPwQCE7Nq1n9ueLvDJP0OgxFeraK3L49LayuBjdrd2I0GhQ1a9Pcq6JhqE3Ln9xjXc2pWp9DwRaAiMFQSjvpgn/J0lSu6J/xYImGJiKs4JmZ2BqUXmXa4L11x9InzoErSaHyOnTUTfy7hP9fOKfpF5OqnGmf22r1iij6pS55rRK/VBpP78B/RHz8jD+Wnl9KdFuw5GXR8CQwR7lMnaX7ZvW07v/XdWOSFfXr0/4Cy+U+x3UFE2LFgSPHk3AVcdGm82KUuU9i426fv0KHQRDK1AKC3oZf576w2trKI1P+w4ogkMoNFq49P5/cGx+G5IOXJO5KuNG1PouTX9gqyRJOZIk5QJbgQFeWFM5pAv7UawbS936F7k17gh+1rNen2PtyuUMGnp/jev5GI8cwfRH2VrbAwYPY9vGtZUm59K2a4ciIoKCzZWf/2UKJZHTpxF43301WmdVbN+4jj4Dy9fEdgcJCYfetbXIo/FEBzKVmoAhQ8o5a9rtNhQeOnC6wpKYSOEu135P98eOd6knam3szPiHhjL5uSdIvnjBa2spjWz710QXLkD2y2z4esh1FzjeEDauan270lQOFwThmCAIKwVBKK7g5W7fGpfflS7sQZBJyGQgSHYcX04h5Y0pFGzZUqNs+MU4HA7WrVzhsRWqNLnLllKwdl2ZazH1GxBVJ4ZD+/dW2E8QZPj364v5jz+wJl1y2cby5xnsOdlORbT82hkjUy8nkXo5iQ6dPSuxkrNgAckveB4zVBrLhfNcfu55LBdcJ1S32+woPMg9VBGGhP1kz3OtgymjLJZAYVQyrvkrvDpyNut3/0a9hrGMvPsO3nn9P2Smp3llPZLoIH/NGmRbvkQQJAQBJIcVLuzxyvjucr1qfa8DGkiS1AbYBhTrZdyuE17T8ru2+j0QkSNKAijUWDsOQywoJOerr0oqGdjS0hAtngmehD27CIuIdBnoV10EpQrJVj7d44Ahw9i4tnKTrG+fPsiCArFdLl8BWbRZyZjzIRkf/LfGa6yK7ZvW0+vOAR7v8hRRUYi5edhzc2q0Dkl0kPX5PBwmE4pQ158bu93mUaKzihA0GiSbDamCXWixsvj1sE8wfGwpUUjrfP146sVXWbPrICqVimF33spH771FQX6ex2uxpaWS+sab5CxZQnaOP5IkIIoAcmjgWWI0T7kutb4lScqWJKnYyeBLoKO7fb3FX8f1HEzry1+pzTg/aAXyEROJ/uhDoj/5GHlROZPMjz4i6dHHyPzkE4xHjrgsp1IRa1cuJ/6+clWHPUJQqRCt5ZNN9R88lJ2bN2BzUcSuGLmfP/W++AJd167l7hX+9BP2jAyPcutWlx2b1tN7QPWsUKVRx8YCYKmhv03Bxk1YExMJGTu2wlAMm9Xq1WOUuzltmjRvSdKF85hMZUuzBIeEMnHqTL7fvIec7EwG9+zIV5/OKdfOHXIWLsKWlIRPp07k5vnyR/SrnLkYy5+WYVDXtd/WtcIbwqak1rcgCCqctb7Xlm4gCEJUqZdDcJbpBWfJ3n6CIAQVKYb7FV3zKnmZOZx77wMyjmbz58lgDBHOvDACAspSGeGCHnoIn9u6YTx4kPQZM7j0xHjyN22scvyC/Dz27tzCgHjPfGuuRlApkVwIlMg6MTRo1ISEvbsq7y9XOMvNlNoVOAryyVu5Cm3HDmjbVL/6QXXIyc7izMnj3NrD8zQRyqLE5zYPCtcVY8/OIu/bb9G2a4eue8XeyHa7d49RsuKcNlUcz1VqNQ2bNOXPkydc3o+sE8P02Z+weNVGTh4/wuAeHfm/JV9hs5V/EJXGlpGBPcf5tw954gnqzH4fa1ISqgYN4K4nuBx0N2eP5GK2edfaVxXXq9b3c4Ig/FFU0/s5YExR3xxgBk6BdRB4q+iaV7mw9yA4HPjceiuSzYaYX95rFJzOfWETnqbuVwsInzgRTfPmJTWMHIUF5H73HbbU8huvLet/pEv32wkMCi53zxMEpQpcHKOAKh38ismY/QHpb79T4hiX9913iBYLwY94LylWReza+hO39uyNugYhEHKtFmWdOlhqIGwKtmxBkiRCxj9RaQ0nu827CuKSnY0bCbRatWnPH8d+r7RNw8ZN+e+8r/l44XJ2bt5A/O23sOGH7xHFsn4zEhIFW7eS8uKLZC9ymvEVoaHIdDrUzZoR9MjDCDI52nZtsWfnkHza89+tJ/zjcxDnGqwcee9DDLt3U2fOHBy5OagaNap2+gjDgV/JeH82SBKqxo3x7dmDo81trExbSpYpHV8CeKTV815xO7elpSLZ7ahi6pa7l5mextA+Xdl+6HSlX+aCrVvJnjePqHfeQd28GdnzvkBQyAkZ93iN11cVT4++n7uHPcDAGu709D/vQtDp0HW6perGLpAkEeulS1Vm/Zs7+20USiVPvvCKR/NcjcOgx5GTgyIqqsrP2cpvv+bIwYRqVeQ48MtuPnrvLSxmE89OeoOeffrjyMkm67PPMR05giYujrCnJ6AIc21md5iMYLEiDwykUbgOH5X7erXaHMQVIEkSaQWmkj+AMjwcZbhnwW+6zl2o+8U8DHv3od+zhx27P+NHeSE2pQQC6Mn3WqE0ZWRUhffCIiJp1rI1+3Ztq1Qn4tujO1vW72P91svkbMsi1K8jD3etR83y31VNcW2nWXMX1Hgs3163e9TPYTKBxYw8MKhKQQPOY5RG673qknKdb4kesCpaxrVl2VfzqjV+5249WbpmK7u2/MSH705jwQczGanyo6VfIMGPj8O/f/+S6P+CbVtRN25SptKDXOsDRe83Ld9MbJj304q44h8drpClt2JKzcCekYGmXVsk0YH+511YEv+q9lgGfSEXs7P4I9CPA53asranxSloSmEVLaw49UlJXJOnWP48Q+H2bRXed8fBb/fFQpY36U192UWekq+hrv44n+48y64z18ZTtZg9O7bSofOt+HrBM1ty2LGcPYs9O6ta/fK+/Zbk519w20/H28coR2EB+Rs2YL18ucq2TZq15PKlCxiNhmrNIQgCd/QfxMot+xg+aiwfnj3BLHshqXWjSwSNLTWF7C8XULhpU7n+pj9OkD5rFoV6EwXmmn1e3eUfu7ORJIlsgwVleDh1v/wSQa0CmYys+V/i17cv6sZXEoUXFuSTnppCemoKaamXSU+97Hydcpn0NOd1u91OZJ1oIutEExFZB8tdrgul5Yi5XHpsHLpu3fDr0wd148bVXrs+4VcKN2/Gr8+dLu/fedcQPnpvGiaTEW0FT+Ql+87RWkhkmWomSuzYUPCQ9TWWJCi5vZn3UxsUU1MrVGlEo5GUSZMIfuRhAuLdCxa1JP5FwcaN+A/o73YiMLvd5lUPYlGvJ2fhQsKee7bK4FilSkXjZi0488dx2t9S3oLoCgnJucPeuZOIyZO5Z9RY7rrvQVZ+u5gJj9xHp67defo/r6FZuQqZQuHS+iiazRgPHMBy6hRZvh2uS86bf6ywKTDbsdpEpyDJSCsSIikkZiSTvXwRBVvWlAgSSZJKhEhEVB0i6kQT174Td941hIjIOkTWicbPP6BM5HJFOUqCZUFo27VDv3s38sBA1I0bI9ltWFNS3M5xK6iUSBZLhcXpg0NCiWvXiT3bt9DvbueXsFgRLCCQ+3//R6ahDvcpTqHEjkIQQbLTVXaKwwVNyPvhB/z69EZelIfXW1jMZn7ZvZ1XZ7zvlfHkfv7Iw0KxnHNPkSnZ7WR9Pg95UBCBDz3k9jw2byuIi6xR7jqLtohrxx/HfndL2DgK8sn6Yj7GhARUTZsg6guRBwahUqt5cOx47rn/IZZ+NY9Rd/emq1rHExNeQB5YPgJI26oVKBQYjx7F0KYtZpsDjfLaFrn72wobSZLIy8sjKSmJ5ORkkpOTy/z/3IWLpKZcRrA7iIiMIqpBLBF1otH5+NBcqaL5E884BUtUHXz9/Ktda8dVjhKVTM2I5s8S3rsfotmEZHdGaRt//52M92ahatAA3x7d0XXvgSK04pgkmVLlLExvt0MFX4L+g4eyce0qerWIw/DrrxgTEgh74XnUsY3wad+OkO1pJIgtsKEAybmzSRBbEOwwkbtsGb49nQ5d5jOnkWw2NM1bINQwzCJh7y6atmhNSAXOc56gjo3F6qZFqmDDeqwXLhA+caJTL+EmdpvNq6bv4rpT7pRzAWjVtl2lnuHFGBISyJo/H8lgIGjUKAKGDC7nBe6j8+XxZ1+ix7kk/u9wAo9+9C5D05N5bMKLZTIRyDRaNM2bYz5yFB6GbIP1mpeA+VsKmxMnTuDr64tSqSQmJoa6desSExNDTEwMPXr0IDwyCrsmmID8Agrfm0X4K5PQde4CQObnn2H87Tfq396nRmsoVgKvSPycbEsGYZpI7m90JQlS6YqKmubNCR43DsPu3eR8s5Scb5aiadmS8EkTXUadF2frE2025C6EjaOwgPa5hczauonEjAJ8VGo0rVpCUQoKddNmjJGCmLtTyUPW1+gqO0WC2II/5M155s7G1BuzAHlgIAD5a9diTPgVmU6Htn07fDrdgrZ9e49yEXvzCFWMKjYW44GDOEwm5NrKvwy21FR8OnfGp2uXas1hs9tqHM9WGkGjBkFwe2fTqk17lsz/tNI2kt1O3v+tQBESQui0qZXvkh0OIrp25T/D7+Wpxo344qP3GdyrI6PGTWDUY0/iU6S81rZrR+7Spc4cP0IQkf6aa1pR828pbBo3bsz+/fvx83Nd6fBynokcvZWcb78FudxZHqQIRWgoYm4eot3mcfWEYooLpfVq24hPtq4mtIKSsXI/fwIGDiRg4EBsaWno9+7Bcuo0sqL1F2zbitzHB22nTuw+n8/XlwPIuv0FwlYc55FuDenVOBjzqVNINhs+7TsgqFQICb8SF12XU53aMfT5l8sJrZ71/cjLOcqasDb8bmlKqJ+aZ7rWL6evCXv2OUy3H8N46BDGQ79h2LsPVePGRM9yWtYcebkut+FXY7fb2bV1I+NrmF7jalQNGoIkYbt4AXnzysvghD75FJLdVqlPjSvsVhtKparqhm4iICDTaNwWNrFNmpOSnIRBX1iueqfxyBHUzZoi1/oQ8foU5IGBVe5ABYWS4BHOGD1f4M33PmT0+Gf59IOZ3N2zI+OeeYl7HxyDtn07jAcOYM/LRx4YRI7BSpjftas39bcUNhqNpkJB4xAlcg1OhzjT0aOomzRB7nMlh4d///749e5d4yNDaeo2iCXp4vkKhU1plJGRBN17JdpaQqJw4yasFy7wW0wcy5vcQWvhLPcrTpFgbMEnWy1kffEzHS8eQdW0CT7tOyBTa6j71QLi165m87ofuNfF7sh07Bhtf9tG/+k9ypRpvRqZRoPuls7obuns9EtJTEQsSkkqWi0kTXgaRWgo2k6d0HXqiLpZM5cBnMUVFOrE1HPnV+Y2mhbNiZw21en9WgHGo0eKzNz1q8zj4wqb3bvHKIDoD+cg6NzLHaNUKmnSvCWn/zhOxy7OwFWH0UDOosXod+wg8P77CXrggUqP3sUU7tyJzM8PXaeyrjD1Gzbi/U+/4tSJo3zy/tss+fJTJrw0mUFvv41c7tTVXGth848zfecYrEiS86hhPXsWbfuyCcDl/gEoQkKr/fSrjHoNGnLpgmcxPJLNRvCY0eh69GBtTGdaC2dZpprJS4rvWaaaSWshkfUNuxE+cSJR06aV9JMplNzedyC//foLBXnlA/VMhw8j8/Fxu7g9OKPG1U2aXkmRKooEjRqFIjSUgg0bSH3jTS49+pjLbIDbN66jzwDP0klUhlznizauTZljaWkcej2ZH39C9hdfeJxG1G6zofTiwwdAERpWLb1RqzbtOVnkSWw8coTLL76EfpezeF7A8GFujeEoyCdn4UL0W7dW2KZF67Z8tuR73v7f56xctph7+3Vn27ofEEUHVrt4Tc3gf8udTWXkFO1q7Dm5qBo1KldtQDSbKNjwE9q41qibupeEuypi6jckqQJhI0ki1nPnsWekY09Px5aegT093ZmkvF9/xEI9adOmA5B7e0dGynaWsyD9LjV1GVjp6+dPl9t6smPzeu55YNSVOZEw/nYYTdu2NdrByTRaAu66i4C77sJhMmI+cgTjoUMoIp07OOOR3ylYuw5Nx45s/2kt87790eO5KsOS+BeWs2fx718+1VHu0qWIhYWETHnd4weI3W5HofLeMQqcOwwE8LvdPTfKlnFtSdj7M/kbN5KzYAHKmBgi3p1ZxkWjKopDUtwpI9yp6218vXoTW7/8nI/+8ywL5/6PF6a+g2/v3tfMDP6PEjYFZhtWuzNeRF2/foneoQwyGbnffgsjR3hN2EQHhbBn+2YKtmzBnpGOLS0ddWwsgcOGgSSR8tprJcXDZH5+KCKuHLfkQYFETn0TRWQkId/94dKCFFrJ1rb/4GH8+N2yMsLGev48jpwcfDp2rLBfdZFrfdDd2g3drVfy00hmC/bsbA58/CGK/ALUn39Bzi23EDh8GDK190rDGA4cJP/HH/Ht3dtpqSvCfPoUhVu34j9kCOqGsR6Pb7NZUXrR9A2g37kTSRKrJWwWfv4RPm+8gyM7i8D77y+Jy3MH6+VkCrZsxa/vnahiYtzqIwgCve8bQaNN2/itRWOmTXyOhQ1imf3+u3Tr4v2I8H+UsMnRO3c1EhKS1eryj7X7fD4Lb3uc3DQdYV8f5BEXStOrcRQWOHclaUW7k4x05P4BBBf5cvhs3sr5IwfJNjnLaCjCw1FGOUMOBJmciMmTkQcGoogIL7e1FgRZSRT2Qx2ymfe7CwtS14otDz3v7M+MyS+Qm5NNUHCI86LdjiYuDp/21cv9W110Xbui69qV79+YyO0xEcj9/dHv/pmgkSMAKNy1E5mPD9o2bWtUl0odGwsOB7aLl0qcJCW7jax581CEhRH0QM1SZjg9iL37VZBptdhzsqtsJ1rM5C77Ft/UVNJTU7BoNQSPqnpnUsyuMxksSbhIZoGZoC5jGdOpBdVJSqsICkbTsCE9lD4M3XmA1Su+Ydg98fTo3p0ZM2bQvBrH8Crn8tpINxiHKKG3FCXBSkoiZdIrhE/8Dz4drjzdd53JYO7ORFqpUxgpO0WCvgVzd9qQ7DZuC5Ccu5L0DOzpaeAQCXnsMQDSZ72P5dSpknFkQYFlSr+0fGoC6U8mUPeLL5AHByHIyjpHVVY4znDoEOYTxwkeM4a+3VqiDMlg8Q6Rw/YmhPmqeaZbg0qFoY+Pjtt63cm2n9Zy36ixAKibNC2j37nW7Nyzi5kffkFUuw5Oa1CRu3z+jz9iS0pGUCrRxLXG55Zb8OnYsdp5j1WxznQTlvPnrwgbwKdLF2dkfg0L7Hk7xQQUJdAyVW6NMp8+TdbcudhSU/EfOJCmzVty6sRRbrnVvaRWJZ9nx2nuU5wiQdaCz34NQObjUy0vcU3bthRu2IBcFHngkccYPuJBNn+3mB49ehAfH8/UqVOpW7d8UHB1+ccIG73ZTnEAu+nIUSSrFdVVvghLEi7SynG6nAv/1ztMNNj1WUk7Qa1GWe+KVSXw3nuR7HaUEeEowsLLfbjr9LwdURAwyOUEyNzzwpSQyF+1itzlK1DFxiKZzQgaLbc3C6fd8Z/JXb6CBt/9n1upO/sPHsq3i+dz36ixiGYzks3q9aoRFXHurzOYjMaSCgqlrUHRH/wX8+lTTrP6wUNkfzEfa987nSZqJKznz6Nq2LBKXYsiPByZr2+ZwnUyhZLgkd5JVma3edf0DSDTanBUkDxLtFnJXbGCgrXrUISEYfXKBgAAIABJREFUEDl9GtrWcbS69Ccnjx1xS9iINitf70l0+XmubkiKT7u2FKxZg/nkH/h06IhCpeWFlycyfvx43n//fdq1a8eYMWOYPHmy22O64h8jbEpr0U1HjqCMiSlnKswqtHCfvLwL/+9SU8JeeN55/ImIQBYYWOYLUFVJW0EQqNugIUkXz7tVL0o0m8n89FOMv/yCrkcPQic8VebIp23fAZmfn9s5grvf0Zc3Jz5DVkY66pMnyfr0M6LnzHH77F4Ttm1cR58Bg1x6YAsKBdrWcWhbxxE8Zgy25GSEIjOr9dw5UiZOQh4Sgk/Hjmg7dUQbF+fy6CsgoGrQAOulS0hIZH36Gbrut+HTtualksGps1EovftVEDRaqGBnI1ksGHbvwa9Pb4JGjy45WreIa8e+XdvLtXcU5GM5dx7rhfOoGzdB27o1tpQUskwO7ncRkvJ7YdNqrVXdogVBDz2EslRKkwKTjfCgIN59912ee+453n777Rofqf4RwkaSpBJhI1otmE+exK9f33LtQv3UJOhdK2B9e3iWM6WYuvWd5u/W7TpUvlYk0t55G8up0wQ/8jD+8fHlnuzqRo2qVWZGrdHQq09/tv60ht45hcj8/VFGe7cMSkXs2LSel6a8VWU7AaFMfh5FRAShzz6D8eAhDLt3U7hlC4JGQ9T0aagbNykXF3Zq6FiWHskgc+5egkwNGflXFgO9lHDQbrd7NTYKIGjEiBLdFTh1TAVbt+Hfty9yXz+i5/zv/9k77/Aoqvb9f2Z7eu8hhAAJvSgKCkhApChFVKSqCCggRUAQQSnSi0oRUIqgIiKIBRFBEGyA6EuXEnoN6Zu+fXd+f+xmk5BNsslufOX9/u7rypXdmTnnzM7OPnPOU+4b6V0JfI2atWDt8iWAVW4nY8k76K9fx5xZXPXu1/cZPJo0QREVTbDyNkeMVQsoOIJErrAGM0ogT2ck1Nc6g4+IiGDVqlVMnDiRetUoLC7C/4SxKdCbKCIt050/j2gw4OFgNvLcg9Gs3FdYJQess6hVO47bNyqv4REQ8Ov9JEIfoZQ/qSSM6WlYtDqUtZ0/r269nmb9yvd42CcMzzat7X6TmsSd2zerraAg9fLGJ7EjPokdsZiM6M6cRXv0KHKbbyBn+3Y0x47h1aoV/wlvyJq/c62+Cel5jng25KPMBnhcSHdLBbu7l1FFTtvMfD3BPkoG1PWk0TcbMFy/jiwoEK8HWyP19sGQfBvDlSvWWcu1a0ivXSPzTjJ5uTn4+vlj0elQNWqEsk4dFHF1UMTG2g2UIJPxQod4Vv4sKX0/SxKqdT9bdDq0p06iSmiA1N8frcGCwWRBISu+j+q6qLP2P2Fs8nTFXKryiEgCBvRH1bCsykGrO2fpd/4A39dtzwlV+Sn81UGt2FiO//lH+ee4dy+IFny7diuT3Xk3crZvR3vqNDFrnJdkfah9R6aNfYm0OBmNyzFi7saBH3e5pKBQBIlMjmeLFqWWq7KgYLCIZH++hU1thtHYM7Wsr+1nE/ennMWjSRNkwSGYc3PQX7kCUimCVIYgkyHIpMiiopB6eGLRaTHn5tr2SUEqBZnMrcuoUk5bqTUI8cGxOvTXKOnQqhWmlBT7sRkr3sdw+TKCXI68dm18H36Y+ncuc/7MKVq37UDE229XOFbRffvxfoM1oOCjZMxDFQcUyoMpM4P0xUsIGjUS387WVUGezkiwt/syiv8p+d2JwHDABGQAQ0VRvGHbZwb+th16UxTFXlQR+SX8NfLQUPyfKSu+JpqM5Hy5nQcyMngg/QJRK1ZUyjVSFcTUjmPHti0Ox83asIH8H/fi2aoVPl27VuoQFfUGhCre/HKFgnYJjTicmcn9zWuW0LwI+3fvZMjIcTXSt0/Hjvh07IgpW0325rMOkx2PG+uT+f5KQt+Ygiw4BN3ly6TPX1Cmr/BZM/Fo2gztsWOkv7e0zH6jTodMJif/wH4y16y1Gimp1Ga0pETMmY08IpKCX38hd8d3NiNlM2hSKaETJyD186fwj8NsPKqlseRGacPINL6Pa8cDRz5Cf/26fekcNPRFBJUHiqgoe/Jl09TrnD19ktZtOzh1nRITQmltTENz4oT1vjcZSV+6lIBBA0uR+VcGeXQ00qAgtCdPFRsb7b/M2JSQ330MqzTLfwRB+E4UxXMlDjsBtBJFUSMIwihgMVCUHKEVRbHanj6NwYTRZA1DmfPz0F24gEeTpmUiRqaMDJBJUcTEYExNRR4RXt0hHcJaH1U6i9icl0v6knfQnTuHX58nCRg40KksV9FkLJW85iweH/ISq5ctZnwl1dHuQFZmBhfPn6FNu8QaHceszibQoOGIsqxvIkgmEr1qFVJ/Ky+PqkEDIhcuQDSbEU1mRJMJ0Wyy11Up6tcneOwYq56T7RjMZsxvHkcml6OIqY1fz56IZut20Ww9roifRvDysmZPm8y2MUzWY23ywqbcXNR401/iwGnrEU/0B6uRhYba7wFVQlmHa+NmLfl1X1lmvYpQ5IQHMKbloj15EuOdZCLmzXM6MVBAwKN5czR//YVoMSNIpGgMZkxmCzKpe5bk7pjZ2OV3AQRBKJLftRsbURRLapEeAQbjJuRpi5dQmmPHyHx/JZHvvoPSJgVSBHlEJNHLl5M2bx7I5WVyYVxFSFg4BXl5aAoL8PTyxqLTceeNqZizswkZ/yre7R9xui/RYIBqpM8//ERvps+cwu0b14l2gnvXFfyybzcPP/KoSwoKFUFEJP/HH1Fv2EjP2i3YEtu+lG/ijDmOfmf2kCs5T/CIEYCN+7d++ZEYeWiYw6e96Y0xyOVylPXqVcis6NXqgQrJ1/26dSck7T/lBiGcmWk0atqC1e+WnZ1VBoteh2gwIA8LJ3jsWNIXLCDro48IGfWK0314tmhOwYEDGK5cQVk/HlGEfJ2JAC/rvWioQK/MGfyT8rtFGAaUFGNS2WR1jwiCUC73Y3nyu/mlQt6nkPj7o7jLsaq/cgWLTocglaG/cRNFjHsrkwEkEglRMbHcvnnd+l6lwrdnTyLmzKmSoQEQDUaEKiaZaU6eRHfoIJ279+TH7yvmJ3YHaoK7phQsFgoOHkTVpAl9po9m7KPxXNNHstrci1veTRnzWAJdn3gIj1ZW/5TFZMRSTe5no8HgtqS+59vU5qy0AYMM03jP1JdBhmn8barDoAbO5T3VjqtHtjqL3OzsKo17e/QY1J9uAsCrVSv8nnmagp/2V8hlfTdUzZqBIKA7V7woybf5Q69cuULbtuVrbzmDf0p+13qgIAwGWgFLSmyOsUlDDASWCYLg0OXtSH7XbBHRGS22/Ra0p07h0bxZqUiMRa8jdf58Mt5/H4tehywwAEU917zq5SEmtg7nP/sU7RmrC8qve/dqcRD7930G/77PVKlN3q7vyf7yS7r1eoofndCVcgVFCgrtO5VNL3AVhtu3MOflWss83niDsLfeROrjS2JCKHMvfMMGyWk2vPAAHRtG4NejJ173W53tud98w53xE9CcPFnlMU0m99GCJiaEMqZjPW55N+UDc29ueTRi4PXfabB9nVPGUCqV0qBxU86fOVWlceWRkRjvFGuaBfTrh6pZU3K+/sZpAn6pjy/RK1fi27u3fVuhwcTWrVt56KGHGDzYtQWJO5ZRTknoCoLQGXgT6FBCihdRFO/Y/l8VBOEXoCVwxZmBtUaz/bXh2jUseXl43uUczd/zI5acHPx69kCiVBG15B1nP1eVYNZqCEzL4PL5i7Sr36hUOUNVUdW2Fr0O3Zmz+HR5jPsefJisjAyuXblEnbrOVwxXBe5UUCiJgt9+JXPNWjxbtSJ0woQycijyyAikvo7HVCUkUPjrb6TNmYPnww8T9OIQZEW1YhXAYrFgNpvdWhuVmBBaKiJUeFRK7rc7EAsLwc+/0vaNbJzEbdonOj2mPCqKwsOH7e8FiZTQCRNAFKvE8SMPL/ZlarUaFs18g9NH/2DPnj3cd999jB8/3um+7sY/Jb/bElgD9BJFMb3E9gBBEJS218FAW0r4eiqD1lBsbHRnrc08Shgbs1ZLzrff4tGiBapKWN5cgTE1hZSpUwnJKyA7tjaBQ15wqT9dUhKG27edPl779xlrbtF99yGVSnmsR+8and24ewllMRrI/PBDMpavQBkXR+ALjq9fxMxZ5RYpejRrTuSypQQM6I/26FGSx46j8FDlvL5F/MNV5aCuCrxaPUDEnNlInTA0AI2cUMm8G/KoSCwFBZjz8+zbpL5+SP38Ec0m8g/sRxQtFfRghTk/j4xVqzj97dcM7NEJvU7HL4eOcN99FSerOoN/Sn53CVaGwi8FQTgpCEKRMWoIHLXJ8v4MLLwrilUudl3dRb/dPRi4vz3jDj3N360URK1YUYrCMv+HH7Dk5dmlLLI+3kjaYge0Ey7AmJbKnSlvYM7OodHwl0i1VJ2W8m5kLF9O7jfOGwvt8WMIKhWqxo0B6NbzKX6sRFequihSUEh8rLtb+jNlZpAybRr5+/bh1+dJwmfNRBZYPRljiUyO/zN9iVq2FFWTJshslfeixVxuG3cuoSqCIEis0cmlSzFlVqyD1bh5S879XbXloNyWxmF0oFWl+c9RMletJvfryu8pQeXBV9u3MHrKWIaMHMf85WuQKd0j4OeWuaMoij8AP9y1bUaJ1w4FkERRPAxUeb2Rkp3CrMOz0JmttSeZujTWJy2GBlNoV8I3rb9yGc/770dpi1Dozich8XRvWFgWFoZPly74dH4UqU7HrdXvudynxWiw6n07CVNqGh7Nm9k5lZvd9wCFBQVcSjpH/QZlkxtdgbsVFASlEiwioVOnVprsmLlmDYJSSdCQIRUeJw8LJ6xE0WDmBx+CaCHwuefKzC5MRhNyN9dFlQdLYSHao0dJV2cRMWtWubVvMbFx5OXklKYNqQTKOnEEDn0RmYPvxbNNa7weecRa9FuvXrk1ZXm5Ocx+YzyXs9NZ9GAiD/UdgIBQagXhCu5JWlC1UW03NEUwWPRsvVxaLzn09dcJmTgBsD7djLdulYlUVQcWo4Gsjz7CmJaKgEDgoEHIw8IJj4omKzMDg96xgJ3TMBjtCgvOIHzGDEJKrKUlEgldejxZI0up/bt38mh31+g/RZOJ3F27EE0mpD6+RL6zpFJDA2C4eRPDjetVGwsRaUAABb8f5Pa4V8nb+2OpmY6Vf9i9Fd/lQR4RSdDIEejPnSfnyy/LPU4ikdCwSTPOnXZ+diP198fviR4OeYoFBIJHjEBRqxYZy5Y7nFmdPnGUZ7s/QmBQCGvnLCFCo8OUmgqA5v+ysRGkjpcpWfoMvvhkPX/+vI+MK5dtLPfWmYwpLQ1Rr3c57G3KVpMyYwZ5P/yA9tTpUvtkMhkRkdEk37rh0hiiwYBQRYXGu5O3uvd6mh93foMoVo+X1xFMJhO//rSHTl2fqH4fWZmkzJyJesMGNEePAjhdxyXIZIhGU+UHlmyDQODAgUS9+y6K2Fiy1qzlztRpGJKtPrGaYOmrCN7tH8G7Y0dytn+F9syZco9r1KzqSylTRjr6y5cd7pOoVIRMngRGIxkrVtj5mi0WCxs+WM64oQOYPH0e0+YuIeABK0tfUWTPbBHtDJiu4J6sjZJJHJ+2yuRJ0tnT7Fi7imvJt1D5+1OvQSPqxTcgWq4kID+HBwMCcKzLUDn0ly+RtmgxFo2G0MmTHfICR9uqv+vUq1qZfxFERESj0ellVNqCBchr1yZwYGlul0bNWmA2mzl/5hSNmrqHiuH4X4eJiKpVbQUFzcmTZCxfjmgwEDJhgsPrVxEEudyu/FBVKKKjCX97FoW/HyRn61Z7VrDVQfzP/gyChg9Df/Ei6k2biFy00KGPr1HTFuytYr5U1iefYrx+neiVKx3uV0RGETJxglUOBoGsjHTenDAKTWEBn+/cb/9eZeHhqJo2RZAUPwS0BnOposzq4J40NmGeYSilKvQlllIKUcbQ5pN46OHW3Br1Ch5PD0Yc0J8rF5K4cvE85/88zCX1HeYM6ImXlw91ExpQN74BdeMbUi/e+tqnAjla7dkzpM2ZizQggIj581CWk6EbY+O1qTZEkbC33kTmRLapuSAfzfHj+NUpey6CINDV5ih2l7FxJQqVu2c36vUfoagVTcikSSiiqs61I8hkdi7n6kBAwLt9e7zatUUQJIiIpK9fh8RoKlfquCYgUXkQOmUKUl+fcsds3KwlyxbMrFK/8ugoNH/9VaEmWhHTwJHff+HNV0fwZP/nGDXxjVKhfwGhDNOj1mjGD9dmgPeksfFT+vFywyl8dOpdNJIC/PMlPBtvVaPM+vRTRIOBgH79UEREER4RRdvER+HlMYCV+yYl+RZXLiZx+WISJ/9zhK82f8zVyxfx8fWjXkKx8amb0JC69RPw8vZBWa8ePp0fxb9fvwpZ8CpSWnAGgiDBs6VzYUbtyVNgseBVTliyW68+vDp8EOOnznI5tCuKIvv37GLN5ur5gVQNG+LT+VECh7xYbRpPeXSU1aHsIoqWbZaCArQZGQh5eaROn0HQyy+hqOX+7HJHKCoCFk0m9JculmEpqBVbh4KCfLIyM5x2xisiI8FsxpSaWoo7qCRMJhOr313At59t4NVa8XTr91y5OUaiaEHUG5CoVGgM1TfyRbgnjQ3AQ2GP4Rnsz9xxI3irQ3ci+vTHnJNN/p49eD/SvsyT06LXIVGqEASByOgYIqNjaN+pS/F+i4U7t29y5WISVy4m8Z8jB/li41quXUrCPySUegmNqBvfgHq7d1I3viFx8Ql4epYVIdPHajgT8icD97cnWBXKs3HFkrzOwGLQoz1xAmXdug4jCyWhOXYMia8vinKylOMbNkGpVPH3yWM0a1m5A7YinD11Ag9PT+LqO69IoUtKQnP8OIEDB6KsHYty5CiXzqEqRODOQOrtQ8Arr6A89SeGmzdJnjQZv5498O/b163qEBUhe/uX5H7zLZFz59ijpmCdmTZs0pxzf5+kfUfnMrXlkcXhb0fGJiX5FlPGDMfTy5st3+xBt3AxGUuWELF4USkhR7AWA98aOQrvRzsROGAgejf4bO5JB3GRzzOuXjw3M9IInzPHGqI7dQrMZvz7lqaYsOh03Bj8HLnf7yy3T4lEQnRMLB06d2PoK+OZNWk679ZvzuetOrJy1mL6DhqCr58/f/z+C29PGUdi83p0b9ucMS/2Y9mCWez86gu2/bWO34UfEL0tgGgLyS/iYMpepz+bOSeH9MVLKnQegjW6pj1xAs/7WpZbVGpdSvVhz46vnB6/POzf47wInYhI7nffkTJjBoWHD2EuLHB5/JqC2WRGGRBI9Mr38U7sQOHBQ+UU29QM/Hr0RBrgT/p7S8tcp8bNWnK+ChEpmY2d0ZhcJoGf/bt3MqBHJzp2fYLVn35JWL0Ewl57DWN6OpmrVpUR+BNkcmRhYdbZM1Ynsau4J2c2RRfGS6XC29uHtJRkIqJq4d0hEY/mLZD6l86lMN6+BRYLslDnSIUKjx4lc9kyUCqJnj0bVYMGxAMdS0RhTCYTt29e58qF81y5mMTvB/Zx69EkBL/SyxWDRc+2q2ucnt2IBmsdi6SSwkCL3oD3o53waNqswuO69XyKlwf2YdKMeUgk1Xu2iKLIT7t3smD52kqPNRcWkLlqFZo//8KzTRuCR79S5qlZXeR89RXa06crJZWqCkwmI3KFAqmPLyGjXsGs1Vh1uk1G1Os/wu/J3sjDI9w23t2QensTOn4CKTNmkPnhGkJfm2j34zRq2oIfvi0/RF6mLw9PQqdORVlCqliv0/Hu3On8/vNeVmzYUmqGq2rYiMDnnkP98cfk7fgOvxI1UQAeLZqTs3Ub5vw8pD6+GM2uzW7u6ZlN7rc7iDCZuXL+LKZsNUAZQwNguGENRd+ttuAI+b/8TPrChcgiIohatKhc+VqZTEZsXD0e7d6Tl1+dzOJVHyH4Ob6cWbp0h9sdQTTayvgrybORengQ9NzzlZKxx9VPwM/fnxP/KSuZ6yyuXrqATqu1KyiUB1G0kDpzFppjxwkc+iKhkye5zdCAddZnuH7dbf2Bjey8hM+iiHzceP06hQcPkjx+AtnbtmExukavUBFUDRoQMGAAmsOHyd9XXKXduFlLzlZhZgPWiu+iXJtrly8yqNejqLMy2PrDrw6X0r49e+DdMRFpUNnkQc8WLUAU0Z22pniYzK7Nbu5NY2P7rz11itrBoVw5c5rbI0eR95NjjWPDjZsIKhWysMpnNh5NmuLbrSsRc+c4JeReEsEqx/0HlbPdEUQbZ0hloW/dhSSnq3m72XJuqov9e74vV0EBbOF6RARBgn///kTMfhu/J3q4P7ojk1mJr9wIk9GxZpSyXn2iVqzAs3VrcrZuJXn8BDQnq1avVBX4Pdkbny5dUNYv9r9FxdRGp9WQmZ7mdD+G5GRy9+3l222bGfJ0d/q/8BJLVm/Et5y6LAGBkDFj8W7XDqDUckpRty4Sb280tqWU0fJ/cmYjYi4sQH/pEnGNmpC0fx8IQrkKkIYbN5DH1Co3ecyUmYH6s02IogVZcDBBw1+qloPw2bgRKCR3RUssAjqj1l7DVZn/RjRaDUhFtKCmrExSpr1J3q4fyj2mJLr1fIq9u77FVM0f6v495WcNW3RaMpYtJ2+3lV3Oq1Urhwx07oBQE8amgtooWWAgoRMmED5rJoJUSvaWL5wqZqwOBEFC8IgRdtI30WJGEAQaNWtRYXLfwZS9jDv0tP3+2ntsI9Mnj+Pj1ctYv3Unzwwa4nQkMv/AAdJmz7ZfY0EiJXDIELwTrRSlRhedxPemz0YE3d9nwGymbkIj9u3/EZ9JA8pVWvROTESQOL7guvPnSFvyDhiNeHfsWK38jyIU+WW2XV1Dli4dL5kP+bo8CszWStwih3HJY++Gok4dK+dtBWUVmuPWJ6zHfc7J69aKrUN4x3BG//ok+eRWKUp25/ZNUpNv0/KBh8rsM9y+RfqSdzDeueOWMpDKUJRnI4oWt6lHGA0G5JX4xzyaNiPyvXex5OZaCyrz8yj49Vd8u3W3cwe7CyIiWWvXgsVC8MhRtqXUCR55tGuZYw+m7GV90iIMFmuiY6Yujc3y3QTcr+Lj0R/iX8W6OEEuR3vqNOrPPrPXn/l0LNYqN7noJL43jQ3WJZTEw4Ow7FxuazX4P9Wn3ONLXrCSyNu3j6z165GHhhL6xhSXDE0R2kV0sf+Ixx16mgJZXqn9lTmMpV7eSBs1rnAM7bFjyEJC7LInleFgyl5k3SXkkwM4Z/SKsH/P9yQ+1r1MLkYR94ygUhE+c4ZL/D3OQh4ZgUfzZmC2gIvZrEVwVnpXIpMjsT3MCn4/iHrjxxTs30/QSy+hquT7qgoEBCRe3uR+/TWqJk1RtlBwUL+b3/fvKvOQ2HZ1jd3Q2NsrBOjhiyRLXeWxvdu3R3/hAnk7d6JKiMfrIatEjy4pCQDj/a59x/emsRHBq21b5OFhiF9uxyyTkmex4EiL0pyTg0WrQRYeXuppqP5iC7lfbsejZUtCJowvQ9TkDmSW4xjO0KbStnEMCqUKhUKBQqlCqVRa3wsCUqMJj9BQVJ6eKJRKlLb9coUShVyOdtf3+NSPJ+Dj9ciVSntbpe1YuUKBUqmytlWp2HJzNRZJ6WI6Z6NkB/Z8X0ZBwXDrJhkr3kfZsAGhEyZWmxKiqvBu/0iVKVYrQ3UoJvwefxxZaAjq9R+RMn0G3omJ1opyB8GJ6iCgXz90Z8/y04/v8EdiLha59bvL1KWx9twC/jr8G5ZzkPlQmkOezBwfC8Yq8CGVROCQF9BfuULmylXIY2JQREWT+cEHyEJCCGnRxJWPdY8aG0Q8mjTBo0kTvDt2JG5gH65eusD9rcuKpRX89hvqTz4h5uONpTJ/PVu0BJPJqnjgZvLzIgSrQsnUlXXuBavCWHN4Fwa9Hr1eh0Gvx2DQo9fryTl8iIyvv8GvRx/MKpV9v16vQ6/XU3j9Ojq9AbOnCvWlCxhs2w0Gfan+9DrrdqNBj89MD4fr9vKMYRHuVlCw6LRIVB4oasUQ9tZbeDRt4rRE8L8VVoG6qqfhe7V6AI+mTcn56mtyd+wAIGTsWLeckyCTETphPHsPP4uR0j4qE0ZOKg/RIbAXXvhSSF6Z9v5aRSmK0KqNLSd00mskvz4F7anTKKKi8WjenPyffkJfjpyws7gn7xRRp0dz6iQezZsj9fWjbkJDrl2+6NDYGG7cQBoQgNTHF/316+jO/I1fj56oGjQoN6ztLjwbN4I1Z+ZhLjGrUEiU9Ks7stzoQG5aBmr/IGK6Po7UQa2WaDahv3QJRVyc0zId4w497dDoGbOMDOvXk7aJnWnboRPxDZsgCAIHU/ay7eoaMrVpxC2I4z/Zv9Hylh+Zqz8gdNIkPJo0qTTkXhMoPHQQ9WebiVwwvxRJmisw2pj6qgOJUkXgwIF4d3jEXthpuJOMqNFWi3u6VN9BweR4OXaGmz1MDBs9gYSUxqV8NgCiQeSxoGcJGV/9bGtZUDDRy5fZ1Tc9WjQnb9cuCs6crXafcI8aG1N2Nmmz5+DRvDlhM6ZTp34CVy9dKHVMkQRqBi0IbNqAgbsOkfD5aiReXnh36uTW/I/yUJ8mZHyeSZ0X6pJnzibIGcesLamPckLfglRWZYrTZ+NGlLkpFRIlwx98HWmggkO/7Oe1ES+g0RTSpH9LslumYhZMIIDZy8S6M/N58idPHgxriizUPaRZ1YHFYMSUno7FYMRdc1GT0XWmvpK+vpytWyk8dBifLo8RMHAQUu+qL8/v3L7J9ImvwAABfMs6ZYtSKe4OSASpQonJimfN7FU88EU3omtX/x4vMjS6pCSM6ekIMhmaE1Unky+Je9LYWAoLAVA2aICAQFy9eP48+Kt9fykJVJlVZ2jN5To8l9CGnmMH/SOGBmDhjNfp2WQQoxOnOd2mKKnPUQaxMTWFvN278evZq0o5QI5uSrvRi4UOnbsBcPvGdWYmjbAampLjSkz81NGegl80AAAgAElEQVRM785zy60m/idQFPlxNr/IGVjJs9z3MwgaORJpQAB5u36g8MifBD73HN4dE50TJxRFdn2zjSVvT+P5l8dQv3VDNlxYUuYh8WzcCPv7kgGJIkRnRfBij06s+XgrcfeXr3PlDHJ37kRz9CiCVIr2/HmX+vqn5HeVwKfA/UAW0E8Uxeu2fVOxakmZgXGiKP7o7Li+PazlA3H1Erh2uXhm8+kf12lsTiojgbozpjV9Av4ZZ+b+3Tu5cukCC99fX6V2FqPRqrAoK/vs1vz1H/K+34Vfz6oz5Tm6Ke9GdO1YtJc1DvflyDX/VUMDJY2N+3JtjEYjcjcy9Uk9PAka8iLeiYlkrV1H5sqVWLRa/B5/vMJ2udnZzJ02kUsXzvHh5q9p2MRK3C8RJGy99AFZhgwC9CoGtJxU6ffYp+sT5H7+OSOGDWTd17uJjav+ki74lVHceX0KptRUQidPhs8+rHZfLscPS8jvdgcaAQMEQbg7wD8MyBZFsR6wFFhka9sIqxpDY6AbsNrWX4VQKY3U6n0fGIzozp3F++IFsrMy0RQWUPjHH2Tk62lTQgJVjlUCNbOg5lLOSyI/L5cFM6YwY8HSKitG+nXrRuTiRQ6fhJpjx1DExFRaDe4KgpWuZ0HXGIpmIG40Nu5YRjmCMrYOEfPmEjx2DD6drKkXhtu3MWu1ZY498vsvPNO1HUGhoXyx6xe7oQHrQ+L9R75hjWwOkzb40fhwfqVjyyMj6RIaxZDHnmB4v15cu3yx2p9D6uVN6ORJCAoF8vVjSAiSVFsf6B+R37W9n2V7vR1YKVjDI72BL2w6UtcEQbhs6++PigZUqQw0067j8Gu/kZ1jXRNHh4Zz/cpl6sXUIujEZY5YykqgBpi1GG7fRhHtej5NRVixaA7tOnam1UPtqtxW6h/g0Plp1hSiS0rCr2fNqVCac3PoejqEbXXTMcqKfQWiQaSR0TWKCndAFhCIZ+sHEdwo+Wty8zKqJARBgk+i1dCIooX0JUuwaDQEDX0Rz4ceQq/VsXzR2/z0w05mv7OShx5xnA8G1sRU7enT5GzdhkejRhXm9khUHkiDg+kSE4f362/xUv/erN3ybZXoQUpCGVuHhv3iqZuxEW8F1RYL+6fkd+3H2KRfcoEgJ9sCpeV3AQSJSK0u9Qmb/hbRH6ymbvOWXL18AUVUNEMebVRGAvUM9el5/Q+SX3uNwj8OOxrCLTh59E8O7PmeidNmV6u99vQpCn77tcx23alTYDLhef/9rp6iQ+iSzpM8aTKNf8vhOVkfglVhVqJsVRhPBr7AlinruZTktKRXjUBZty5hr09BEVmRunPVYFVXqHnCc0GQEDL6FaR+fqS/8y6HXh1L/67tyExLY/uPBys0NGBN9gt66WXkYWGkL19RaWGoIioSw+1kevcdyPhps3ipf28uX6iez0VEJDD7ULXaloQ7TLoz8rvlHeO0dK8oimuBtQCtImUiMiXmxBfxDLOm7MfVT+DqJet0sUiN8NPDUo4X1CdYKTC2Qzztn2tGzrZtqBpZV3nmggIk3l5uKxg0Ggy8PWU8k2fOx7eaCV75P/+C/uJFvB/pUGq7uaAQWUQ4yvjqcRuXBxGRvB3fod68GVlICBELFxAbW4fOTCx1nMd0H8YPH8SW73+u9mf7N8JoNOBdjsqmu6GMTyBs/jzWTHqVLTu3MSw2gQETp6EKcC6ML/XwIOS1iZhzcpBUYiDlkVEY/voLEZEeT/VDECSMGNiHDz77iviGzmc8i4ioN23CclJPgGs5ff+Y/G7RMbcFQZABfoDaybZlYPQK42rXjWjDip/ycfUS2PNdMUlUYkIoj9T24cagwQQ+Nxi/BOuSJmj4S4CNDmHeXCQqFUHDh7ulVGHjhyuIqhVD157ll05UBtFgQOJAWcH3scfweaxzjfDk6q9dw/OBByrknun1zADOnznF62OGseqTbUilNZMIWRH016+R+vZsQl591W15PiaTEbmb65vKQ/KtG7w5fiQSiYQt3+/H6/QZlHXjrOeRrUbmRPBCWSfO/tqcm1OuymbAC88TOHyY/X55ok9fpFIpIwc/xQebtpPQqPLSA1G0oP7oI/J270F8bCDJ7XwoWDWubBahk/hH5Hdt74s0VZ8BDohWjZHvgP6CICgFQagD1Af+qmxATaae2z+VzqupUy+eq3c5wgSVCqRSzJqyTjlEEe8OHTBcvUbyxNdQf7YJi87BcU7i+tXLfLZ+NdPmLnGJ71c0Gsrk2Igm9xNy669ewZCcbF0qjRntFPfMxDfnYDToWblkrtvOo2oQsOTlIepcy2QtifIoJtwJURTZ8eXnDOzRicTHHmfdF99Rq1FTAvsPQJBIMefnkTxhImlLFmPKzHCqz8IjR7g16hX0V6443C+RK8rcL916PcUbby9i5OCnOX/mVKVj6M6dI2/3Hnx798acncOFb29xIctyyakTdHRO1W1YBCfldz8CgmwO4InAG7a2Z4FtWJ3Je4DRoihWqoglyKToTpZOMIqNq0fyrRsYjcU5GAICEg8PRE1h2T4kUvy6dSd6xXK8H3mE3G++5far4zHculmda8CcN8bz0rhJ1ZY5sfflQKAuZ/t2kseMxeKG/BIRkby9e0mZ9ibqjzcC1iJDZwyZXC5nyQcfs3vH9hqT960INRH6NpncG/q+G9nqLF4b+QKfrFnJui92MGTk2DKzQomHB369e6M9eYrbr44n59tvKs0lUjVuhMTHh/T33sOsLZuuYNHpyHj/fQr/LE2a1qXHk7w57x1GPfdMpSJ4Ho2bELlgPoEDB6A7cwZpsGtpI24pnRVF8QdRFONFUawriuI827YZoih+Z3utE0WxryiK9URRfLAocmXbN8/WLkEUxd1OnbSHJ4YbN+zsfAAKpZLwiKgyygYST0/MGse5IwBSP39CRo8mYt48lPXqIgsPt55XFX7YO7ZtRlNYyMAXR1R+cCVwtIzSHD+OxM/P5TwXi05LxvIVZK1Zg6pxY0LGjau80V0IDArmvbWbmP/WJC6er5gn2d0o4vhxa1KfwVCuuoCrOPjzT/Tt0o7IqFps+f4A8Q0dOz0EmRz/Pn2IXrYUj+bNyN70GcmvTaqQu1nq40vohPGY0tPJWrO2LIewSknhkSPozpV16nfu3osZC5byygt9OXPyeKl9oslI+vLldg5sZXwCugsXsOh0eLu4dL0nM4iL9Lq1p07ZQ4tQtJS6UCrEp4iNdVhjdDdK1kpZ9DruTJqMZ+vW+D/zTIXSI1mZGSxb+DYfbNruFj9G6ORJxbynWNfyhitXCLhLhK6qMGVmkDpnLsY7dwgY0B+/p5+uNidMo6YteH3WAl61OYz9/6FEyZqZ2bh/GaXValg6bya/7NvNvOUf0rpth8obAbKQUMJen0LhsaPoTp+2MxFYjAaHDmFVg4YE9HuW7C1f4NGsGT6dOtn3CQjIIyMdkp8DdOrWA4lUypgX+9m5iS0GPelLlqA9fgJlQjweTazGUXvqNEileLdo7rAvZ3FPMvVJlEok/v525vcilIxIFSFsypRKhejvhmg0oUxIIPebb7j96qsUHjlS5slRhMWzptLrmQGlErFcgSwgEFkJMXntCRtRloshb4mfH7LQEMJnzsD/mb4uk0890edZHu3agymjh1WbAbCqEDw88E7sgNw2+3QHqkMxURHOnT5Jv+4dyMvNYfuPB502NCXhdX8rgl4cClhpPm+NGEnu7t2lNMqL4PfUU3i0aIHFgavAamySyx0n8bHuzHl3FWNf7M+JP34nbd58tCdOEjRqJH7dutuP0548iTI+HqWPazQs96SxEQSBgP798WrXttT2uHrxLmVLFkHq7U3ImDFEzJuH1Nub9CVLSJszF/NdX+jvP+/j9In/MHLCFJfHLELu7t1ojh+zv9ccO440OBhFbNWZ8CxGA+ovtmDWFCKRKwh/8y23klyNn/Y2FtHC8oXuUzuoCFJPL0LGjnPrZ3CGqc8ZmEwm1i5fwqjnn2HUhDdY+P46t6QICDIpytjaqNev586UKejvepgKEilhb72JX4+yJSzy6ChMGRlY9OU71Nt36sLcxcsZ9/yznPjzMCHjxuLbubROlW+3bvj16IGsHLZLZ3FvGhusoWCvVqWLzOrUT+Dq5dJRqpyvvyZ1/rxqjaNq0IDIxYsIHDYMQSZD4mll3hcR0WgKmffma0yfv9ShWF11kfPVdjR/FQfkvBM7ENC/f5UjUca0VFKmvUnul9vRHjteeYNqQCaTsWT1Rn7a/R0/fLu9RsaoabhjGXXr+jVefOZx/vrjd7b+8Avdez/tprMDeVg4YTNmEPraRMw5udyZOo2s9etKzbSLZqmFx46i3rzZvl1RKwZ5VBTm3Iqj1e06d2Na734sunWRC8qy18KnUye82rRBLv0/qPVdFFk23LqJqDfYuUPq1K3P9SuXsVgsdo0ks1qN/kL1ZzuCVIbf44/j+3h3BARMajVpc2bzqT6flg+04eEOnSrvpCowmkopK3g98GCVuyj8608yV64CQSB06lS8WtVcqYF/QCDL1n3GywOeJK5+PA0aV6xj5QpEi5kbgwbj//RT+D/Tt/IGTsCV2ihRFPlm6yaWL3ib4WMmMmjYqGprc1UEAQGvh9uiankfOVu3Isik9odPyZQI3blz5H27A2Xduni1aWP/Kw/mnBxEkwlZcDDd31lGQO8nmTjied794GN7qY32zBlkoaHIQ0ORSf8vzmxs1iZj2XLUmzbZt/v4+uHj40vqnWJKRMHLE4tGU67PxekxbV+ouSCfy7nZ/LD7O17wCsKYUj1GtPIgGgxgi0Zpz5zBUEV6x7y9e0lftBhZRASRSxbXqKEpQkKjpkyds4TxLw0mW51VY+MIEimiyWStjHcTrCJ1VTc26qxMJrw0mC0b17J+606ee2l0jRiakpB6eBA0ZAgBgwcD1vsj5c230N+4DkDggAEo6tcnc/VqjOkVszCa1FmkzJhB2sKFdsWINu0TWbzqI14b+QJ/HvoVEZGM5ctRf2b9jbk6s7k3jY3tv6pFc3RJSVhKJHnVqR9fykks9fQEiwWLi5SG9v4io1idco3Rg4bices2yeMnoN7yucvGDGz6SwaDncsma80a1Bs3VqkPz1b349fnSSLmzUUeGubyOTmLbr2eomuPPkx+5cUadRi7W87FWI2ZzW/7f6Rvl3bUjqvH5u/2U7+KKgauoujBZ9EUYrxzhzuTXyfr441YjEZCJ04AUSRj6VJEk4mM91eQtXFDqfbG9HRSps/ArFYTNGxoqWBB67YdePfDT3h99DB+/2obZrXanq0t/785s7H+92zeHEwmtGeL8z2sTuJiv41g86c4SuyrDj7f8CE+fv70m7OQ6PdX4NWuLebMTLdk99r1ehRKjKkpGO/cweO++yptpzl1kvRlyxAtZmSBQQQOfu6/wj0zbsoMZFIZS+fNqLExBLnc/RQTTvpsNJpC5kydyPy3JrFo5XomTHsbhdI5ataagNeDrYl+fwU+jz5K3ve7SB47DsO1awS/Mgr9xYsU/nEYc04uuvNJ9jbGlDukTJ+OpaCA8FkzUTUsayhbPdSO99Z8yltvTeJEbhYezayRVpmLM7d709jYftjKhg0RlEp0p07b99Wpl1CqbEEWEmItvBRdn3kk37rB+pXvMWPBMgRBQOofQMjYcQSPHg2A/vp1UufPq/bSSpDJiPnkY3wffxzNMWtEqqIqb9FiJnvbNtLmzMV44zqWvMq5TmoSUqmURSs/4pd9u9n51Rc1M4ibZzbW0Hflrsu/TxyjX7dH0GoL+fLHg9WiD6kJSL19CB4xwsrLHOCPSZ2N10MPEzFnNl7t2yOPisKUnGyfeWdt3IhoMBD+9iyU9cqnprm/9cPM7PQES68nccQmkufqzOaedhBL5ApUjRqh+7vY2MTVj2f3juKCTM8WLdxStCeKInOnvcbzL48hpkQxHGBXZzClpqI/d57k8RPwfbI3/k89VSVlTQHBzv2qPXYceXR0uTkl5rxcMpYtR3vqFN6JiQS99FKFyYf/FPwCAli67jNe6t+LuvUb0KiZe4nRfTp1QhEb67b+KmPqM5lMrHv/HbZ++hHT5iyhS48n3Ta2O6GsH0/kokX296aMDDRbtnBY58GXLQaRs/IQwT5KBj8+iHYhskoLjy0mI3Wz85j33Mu8OWEk895bTdPnXXPK35PGBkAqETBbRIKGD0fi62PffjdFqLuw57uvSUu5wwsjypfr8GrTBmVCPOpNm8jd/hWFv/5G4PBhZUL05cGcn0fujh14PfggugsX8OnimP5RRCRtwUIM164RNGokPp1rphq8uohv2Jg357/HhJcH8/n3PxPkRmbBQJtz1F2oaBl149oVpo57GV9fP7bt/o3Q8Ai3ju1ulJQk0l+9yv6/LvNFg8do6nmNNpKfOVLQkNVHGiDpWI/ESvqSyOTUWr2aaIuZ93v1YtzQ/kT5u7ZkvGeNjYdCSoHOVObJHxQSitliRp2VSWBQMMb0dNLmziVg8CC8HmxdrbFys7NZMnsay9ZvrjQBTBYQSOi4V9F17kzWuvUYLl9x3tjk5ZH7zbcoYutQa91auCvqIiKC2YwglRE0bCjIZHZt6H8bujzRm6Qzp5k8aghrPv/WLYlzYF06YrEguMknZTQZkd/VlyiKbN/8MSuXzGXE+Nfp/8JLNR5pcjeCXhzKbtMhmhoulObiNkzj0yNyO+dTRSgS3WsWGMSmrV/z4oBnXDqne+sKloCnotiK5+3dS/a2bYA1LB5Xr1jaRZDJMCYnY87JqfZY782bTpcnetOspfNhZFWjxkQuWYLfM9YEL83xY2R/saXCbE7RYGVfExRypJ5epbhKzIUFpC9ejPoza9KWsl79f62hKcLoSdNQeXjy7pw33dbnncmvk/7ee27rz2Q0ISsR+s7KSGfs0P58uXkjG7f/wMAXR9xzhqYIWXrRMRd3vr7Stpnr1paqGH+4TWt273aqTrpc3JtXEVDJS0wZL18ib9cue+1IybKFoqxfSwWV3xXhr8O/8cfvvzD29elVbivIZPaokO7cOXK+3E7y+AkUHv2Pw1B5kbHJWL6Cwv8UZxHrr17hzutT0Bw7jizonyl6dAekUikL31/HoV/2s2Pb5sobOAM3OogPpuwl8HVfJp7rz7hDT7Nu32L6dmtPfIMmbN7xU7U5e/8N0F++jL82z87FbRIldi7uYJ+Kl0MmtZr8PT9iSkmxb1PJpdznRGS0Ityzy6iSMxvP5s0p2H8Aw+XLKOMTbBEp28xGpQSpFEth1Y2NXqdjzhsTmDpnMV7ePpU3qACBg5/Do0VLstavI33BQjzvv5/AoUNLLQNFo/VHJOp0WAoKERHJ37sP9YYNSPz8iJj9NqqEmlXxdDd8/fxZtn4zQ/s+QVz9BjRt6VpBqSCTIbohqe9gyl7WJy1CFigDRDJ1aRww7WDYinEMajva5f7/m9BfuULqnDn08IziiwaPMYhptJFY9dPOShswpk3FdXba09YCZ5UtsCKRlH64Vxf37MxGLpXY06dVzZqBIKA5Zb1IcfXjuWZL7LMTaDkgGKoM695/h/oNG9OxS8WaP87Co0kTot55l8AhQ9CdPVuGa0QsQWLt2bIl5owM1Bs3omrShKh3ltxzhqYIdeMbMGPhMiaOeJ7M9LIywFWBu5L6tl1dU0r8DUBQCPzJAZf7/m/DeMda6f1A+gVesNzguimG1aZe3PJuypiO9Sr112hPnETi74+ittUoebjB0MA9PLMB6+wmT2tC6uOLom5dtCdPEdD3WavPpkSujecDrZBVkWP4UtI5vvxsI1/+eNCt5yzIZPj17Il3+3ZI/Kw8OwW//cqhQgVb02VkJI4nwFjI0DQDiQmhRMyfhyI21mVKiP82Hu3ek6Szp3lt5BDWf7EDuaJ67HiCTIZFU7nPoTJk6hyn82eVs/1eQBHvjXf7R5D4+JKxdCndnkqk/eHDVpG5FyZW2ocoWtCePo1Hyxb2e85D8f+NDR5yq7EB8HqgFbrzSYgWMxHRtchRZ6EpLMDTy5uQMeWHq0viYMpetl1dY70R86DX9P41Fu4s0oYSEdn3699s8m1MU9k1q1ywpCHv/2TNfE5MiKuom3sKoyZO5fzZASyaNZW35r9brT682rbFYnDd2AQpQ8nSl51l/SvE+KoB/Y3rpM2bT/DoV/Bsbs0tq7VuLRKFEmXtWKf7seTlIY+IwPO+4uWup5t0tVx6XAqCECgIwj5BEC7Z/pfRpBAEoYUgCH8IgnBWEITTgiD0K7HvY0EQrgmCcNL2V6UMsJIW1/+ZvoRPn44gkfJH+n7qLqrL8CPdGHfoaQ6m7K20r6I1fKYuDRDBV+TvoCNOtXUFAgI7az1IU9k1NivmM1H2JZsV82nCJT49cqNGx/6nIZFIWLB8LX8d/o2vtnxarT58OnUqRexUXcTcqQ93uX7u1tG+V6C/eYPUWVZOIXlYOIY7yYiiBYmi6nkxUj9/IufPx7tdcYa0SuGeWbWrJusNYL8oigsFQXjD9v5uJikN8LwoipcEQYgEjgmC8KMoikWx6MmiKFaLDMXRWvJg8m7WX3wHwcYEmqlLY93f87j6yUbu7/46+fl5FObnUVCQT0F+HoX5+RQU5HOy+UFMHqWFvwwWPduurqlUW9lVZBYY6CstDlEiWkOUJ/LdqxH1b4CPrx/L129myNPdqZfQkOb3VU343qLTIZqM9kzr6iAl+RY7525jwqcz+bnwO7J06QSpQnk2bkSNf9fuhuH2LVLfno0gkxHx9iyk/n7cGjkK73Zt7bJF2r9Pk7V2HaFvvIEiqmKBP9FkLJXDJJUIKB3ozlcHrhqb3mBPRvwE+IW7jI0oihdLvL4jCEI6EAJUP/HFBplUgkImwWCylsjfWLeGjcGbMfhaSh1nlJrZFXeNH6ZOwMvHBx8fX7x8fPD29sHbxw//wCBMKscKg//EGj7YR8mRgrJywYEyS+WN70HUqRfP2++s5LURL7Dl+wOEhDlP85m1fj3aM38T8+Gaao1dVHYyeNgo+rR4gT52haF7DyZ1FikzZ4EA4bNmIY+IJHfHt1jy8/F+5JHiAwUJxjt3MGdnQwXGxqLTcmv4SwQ8/zy+tux1Tzf5a8B1YxMmimIKgCiKKYIgVLjgFQThQUABlBS7mScIwgxgP/CGTffbUduXgZcBYmKscikajYYTf/zKidNnGDxsFF8e/QNtXzOOhDalgTI+/+GXcs/t5KHfbEuo0qipNby5oICsdWvx69GD59vUZuXPRgYZikOUZyx16XdmD9lbU/Dv9+y/qhzBHUh8rDtJZ08zccTzfLR1p9PV065Go/Z89zUpybdZtu6zavfxb4E0IACfjol4J3ZEERWFRa8j57udeDRvjjK+OEeoKBO4ssRW7ZmzWLRa5BHFxt9H5T63bqWLMUEQfhIE4YyDv95VGUgQhAhgE/CiWMTWA1OBBsADQCBll2B2iKK4VhTFVqIotgoJCWHcuHGEhYWxfMkC8vNyEUWRV99egH++Y0vsXyCheNiyeDZuBApJ6RveYrDQTtGtKh/TKeiSkkie9BqFR/7EcPMmiQmhjOlYj1veTfnA3Iub0nqM6RxPx8aR5B84gCX/v1vNXVN4edxkgoJDWDjTeQ5nQSYDY/WMTU62miWzpzFryYpqR8P+DTCmpmBMT0MQJAQOfg5FtDXSmr9vH5acHPz7li4rkPpbfQrmnOwK+9WdOoWgVKJs2NC+zUflPqqSSs2WKIqdy9snCEKaIAgRtllNBOBwzSEIgi+wC3hLFEV7DnTRrAjQC4KwEZjk7ImPHTuWefPm4e3tzfmUfMwWEXl4BF2Tovj6/jsYpcVM9ApRxmN/eGLpqkPq4emwv6K1+rara+xr+ARdSz4ev4puu/q6hbxatJjJ/eZbsrduRRYSQuS8ufYy/8SEUBITQklbsABTRgZRI99DbPAK5pwcpD6+VkNpttjlTP4XIJFImLfsQwb16sx729/kekQSmbp0givyn1RjZmOPMmrTqDU7mrxwdeWN/qUwpqaSMmMmUn9/IhcvKjXjLTzyJ6omTcpw1Ei8vUEmw5yTW2Hf2pMnreJ3Np+Nh8LqpnAXXL1zi2R1F9r+77j7AJsk7zfAp6IofnnXviJDJQBPAk6rntWvX8zF4aOSkaOxhhbaBiUi/v4DB7rKyNJbjcaTsm40raWvlNOmXUSXMjd4/l/5vDlhJMs/+tzlGpmC334j+/PP8WrXlqARIxzK3coiwtH+/TeiaEEQJHb9Z/VHGzClpxMy6bVqRRn+rfDy9iFxQRf+zD+AoLP+cDJ1aaxPstIl3P19VHUZVRRlNFj0IIBRpS+37387jOlppMyciWgwEDz6lTJL64hZszDnlyU3FxDweughZOHlMzca09Mx3rmDT7eu9m2+bpzVAAiiC6RSgiAEYZXPjQFuAn1FUVQLgtAKGCmK4nBBEAYDG4GzJZoOEUXxpCAIB7A6iwXgpK1N+TKANrRq1Uo8evSo/X2u1sjNLGuGsC4pCf2VK/h0frRKXDLlwWgwMPTZHnTo3I3hYypPinIEc2EBUi9vRIsZzfHjeLZqVa4PJu/HPWStXUettWuQBQUXb9+7l6y1a1E2bEDY1KmV6nLfKziYspfV52Y73Odh8qL9tR4YjQbrn8GILjUFXWYGkloxmEpstx5j+28wYDKZMBoMCMONCH5lr3WwKowVbb9yMOq/E8b0dFJnzMCi1VqJr0oU4YomE6LF7NJDyJybQ/7+A3i1fRi5zWFfP8y7TJmCIAjHRFGsFrG1SzMbURSzgEcdbD8KDLe9/gxw6I0TRdEt0gQ+ShmCYJ24lFS2LDWWrfCxqo5WuULBkg82MrBHJ5q0uJ827ZwXHRNNRtSfb6Hg11+JfvcdpP4BldJNyCOsSYTGlNRSxsa3SxekXp6kr3if1BkzCX/rLbvj716ETqsl+dYNPr25zJE/HwCttA4mRx0AACAASURBVJDMjDTkcgVyhRxPLy/8GjRCrpAjk8mRK+TWfXIFcrkcuaLs67kZYxz2fa9lCqs3bbIampkzylT75//yM9lbviBq0SJkwcHl9FAxpH7++D/1lP29QiZxSz1USfxPOAAkEgFvpYx8nXV6bc7NQXfpsl1ZQH/lCnemTSP09cl43V91oxweEcX85WuZ9urLbPn+Z8IiIittY0xLJf29pRguX8anaxcET8e+ortRZGzMWZll9nm1bUeYl1U0L3X2bCLfWVKKMOnfhrycHG7duGb/u33jGjevX+XWjevkZGcREVULn+nlzz6DPcKYNH1uqW1mrQZLXh6ykBCnPnvwobB/NMpYUwgeNRJTegbKu1gKRZOJ3K+/QRYcjDQ4yHFjQP3ZJgr/OEKtVavK7BPNJjRHj6Jq1szu0/T1cL9p+J8wNgC+HnK7scnbt4+cL7YSs+EjpL5+1spvkwlRo612/23adWDAkJeZNGoIG7Z9X2E0o+DgQbI+/BCkUkInT65Qu+duSIODqb3l83KnxJ4tWhA+Yzrm/IL/uqERRZGMtNQShqTYqNy6cQ2j0Uit2rFE165DTGwcTVu2ovuTfalVO5bwyGikUinjDj3t0BgADrN5Cw78jHrDBmI+3ojUx7fSc3w2bkSxz6bovA0iMep/P32ESZ1FzrZtBL74opXfKLbs0rng998xpaUROnRoxbN2iRRTRobdF1gSukuXuDZ/AdLnB6GtVQt1VgaCLpdcdRbp6emkpaWRnp5OeiXyMJXhf8fYqGQUqRp7Nm9OzpYv0J7+G+927Upw2rimsDBs9AROHf+L9+bPYMqshQ6PEREp/OMw8tq1CR3/KrKQqj1BBUGCUMnau2T1d8FvvyKPiEBZv2ayjY1GIym3b5WandyyGZbkm9fx9PamVu06dqPSvtNjxMTGEV27DoFBwXaNr/LQt87LrD49B+EuX2TnyD4OHbiCrU7HWSexoyjjo6F9+HDkEgLSQxg2eoJT/fzTMGWrSZ0xE3NODj7dupeZ0YB1RpL71Vco6tTBs1Vp6g6j0UiOOgt1VgZZGRncTjpD8u2riLOmkZ2fR1ZmBurMDNRZmajTU5FaRIIzrxMUGk5QcAh1YyIJCwujYcOGdOjQgbCwMEJDQ2nUqPqyNf8zxkYmleCplKLRm1HUrYvE29tKBl7K2FR/ZgPWUO38pWvo90QHWtzfmq49+9j36W9cR6JSIQ8LJ3jMWCQKOYK0epc3/+efMVy5bE83Lw8Wk5GcL7djUqsJm/K6XXKjqtBoCrl947rD2Ula6h1CQsOoFRtHrdp1iK5dh+atHrQZmDou8/wUHi1E/EUg+KlQ1PrKywbsqfRViEg5ijK22d6JkYOf4posibzGmWTqKwm5/4Mw52STOnMW5uxswqZPRxkbiyiKaAoLUGdm2gxIOinHj3L76GH0TZuQP2ooWZnpVuORmUFBfh5+AYEEBgUTGByCnyigNOiJkSuo8+BDBAaHEBQcSmBwMPoVK1FIJEQttD5AA7zkRAc4t+yvCv5njA1AoKcCjV6LIJGiatYM7cmTVnlSpRJkMiyFrmtH+fr78+6HnzBq8NPUb9CIOvXjyduzh+yPP8GjeXNrpMjDw6UxDLdukf/TfqvGeAXUEhKZnPDZb5M2Zy5p8+YTMmGCwyWbKIrkZKuts5PrxYak6C8/N5eomNpE146lVu061EtoQGKX7tSqXYeo6JgaS4AzGgysWDSbWUtW8ODDj1TegKrPbMpDWEQkI9e8zseX30OwrbAqCrnXBMxmMznZarIyrEYiKyOdrNs3ufntt6hzs9HVqU3O5NGoM9NRZ2aCIBAUEkJgUAiBQcEEhYTi274dUQkNCAoJIzA42GZAQvDzD0AqLV5m686dJWX6DMJ7PV3qoWQuLODmtWt4Pl3sHA70qpnv+3/K2Ph7yknJ1WG2iHg0b4bm8GGMyckooqLxffxxlPHl6+RUBY2atmDcGzOZ8NJglj/WG/H4CTzua0nwK6Pc0r88IgLRaMScmVnpMkwWEEj47NmkzJ/P2fnz0HR5lKygwFIG5faNawDUql08O7mv9UP0fnYgtWLjCA2L+K/w7G77bAOxdes7bWgAe1KjOwi0dqVtLrN8M1j0fHhuLqvPzanWTEer1aDOzCixTLEuY0r+V2dmkpWZTn5uDj6+fgQGh1hnGkEh+KtUKAWBB/oPJLxZC/v2wJAQPEukOzjyvVSE/9feeYdHVXR//DPbN9n0ZFMhgCAiQZAfImIBVOwKSlFUEEURERVBXkB6EERReVGxIGBXQBBfLChF7CLSiwTpENJ7Ntm+8/tjN4GQtptsAmI+z5Mnyd25c+fmZs/OnDnne1TGaAzXXosiqOJM1PLXX+Byofeo8uk1SgI0DWMW6hVnc7Y4M87mdDKLLGQVWXGWmHCVlKI2NsyugzX1BBMH3IHNYua56S8QcsftfhO4Mu/ZQ8a0acRMm1rhU8hmtXIy9XjFmYln2ZN24jiBSiXx0bG08ixzEjxLnWYtWhISGlar/6QxKS4q5PYeXVj4ySoubJfk9Xn2jAxKt2/HcNWVXjmIa+LeDVdDLWWTNQotg5o9TmvXxe5lSvkypsxwnDIsuTnZOJ0OIiLds4+IKGP5MiaizKB4li7hEVGEhkeUF8hzWSwInRaBqJR5fSZSukh/dhKB3bsTcvvt9fobSCT2EydQx8YhVCqahesJDah+ZnPW4mzORcIDNWQXW1EGGlAGGsqPS6cDabej0NVviVOGOiqK0bfcydMbvmJNfiaD/GRoSkzFHC3MY3teJkVL3iJbqymfnWRnZRITG3+aIWlB1yuuJiGxJQmJLdBpNKBUIhDYs7JQGaPO2QTOd998lat79fbJ0ACoY2IIubn+ejYAkTpjtTthZdhcVhZvfxHrG67ypUt4RBThkZFc3KHTacbEbUQCDUE+G3VncREZ02cQcNllhN1zT61lakr//BPr338TfFq0rzdIJNLhqFCaWSDQNHMnNquUghB9w5VtPu+MjVqpIFinptBsx7I/haJv1hA56nEyn5uFdDiImzWrzn078vLIX7aUiAcfQqHT0XzKVP47eDCPzLidHxO/pMhVUOvUW0pJXk52BZ9J2ezkxLEjmEtLSWieSFRxEYmFhVzU6zp639KHZoktiYlP8Kr+kiMvl7Rx4wjodjmRjz561rfIzyQzPY3PPlrCZ9/97PO5LosFe2YGKmN0vX1jVW2LV4U6XM3yjb6P1RucpmIyZiRjP3kS7eDBtbaXSAo+W4EqJobAq3wrAXxy1BNo215I1BNPAu6EzoIVKwjt1w91bBzhgZoGnf2ed8YGIMKgodBsx1VSQskvv2C4theKwAAc6Rl17rN021ayX3sdabMR1KMHuovbA3BMewDjfZEUudwZtWVOxvy8HKLy4zlx9PAZ28ZH0Wg0p5Y4iS3odnVPBtz/IM0SWxJpjK73A1eGhxN0800UfrYCl6mEqKdHV/g0O9u88crz9Lv3AWLifNOFBrAdPUL6pMmVlph1oewDYemBN8m1ZaEUSlxUVgYI1zaczEhG8kzsJ05gnDjBqzLR5m3bsB0+TOTIx3ze7RRBBpz5p2QmSrdtx7TxB0IHDECIhnMMl3FeGptArQqdWoHr4vYIlQrzzl0oAgJw1qF2lHTYyfvoY4q+/BJNixZEjXm6Qp3k5YffxiEqOittLisf7XsNw/KIcqNy0+130ayF++eg4JB632NNCATh9wxCaTCQ9+57ZM2ejfE///HbErI+HPo7hR/WreHLH6v2udVG2RLDX7Wjroq9gXaqTtzVuzuz1rxRaaajdCm5+4LhfrnW6UjpInP2bGzHjmH8zzgCOl3q1XkFKz9HFRWFoYf3aTNlqEJCcWRnl/9u2bkTVUwM6ugYgnVq1MqG3SQ4L40NQIRBi8XuQtuuHZYdO9AlJSHrYGxyFy2ieN16gm++ibAHHkBxRhH66lT6VWEqFi//qk5jB3dkaOFXXxE3e1ad43VCbrsdhcFAzhtvUvD5KsLvvbfO4/EX/31+OsNGjiY4pI55XWW7UX6oHVVGWQneqgIAB7Z6lPiSFvzn8WHMfHkBWl39k3vBHbwZfMstCJ3OpxSayBGP4szPr1P5YWVoKJYDBwD3h6h5zx6CevUE3KuBhua8NTahejUZhRYCOnUk78OP0F7YBpfZ7PWWYdmOQMhdd6Hv3LnaOuHVORnrm3sj7TZsBw/iyM6pVM/cF4J69kJtNKJp459t//qwZdOvHNj/Fy+/9X6d+yjX8/HTzAbA6XCg9OjsVhUAaPcYticfGsR/F3+MvhpNJK+uZTZjO3QIfVJSBVFxb9E0aw4eh66vKENDcRUVIV1OLCn7kRYLuo4d0WsUBGob3hT8s4sR1YBCIQgP1KDr1AlNYiLq+ARC7x4Izpp1fV0WC9kLFpA19yUkErUxulpDA1Ur/PlDpb88+zsjvZaWtaO7uD0KtQanyUTm889jT0+rd5++IqXklVlTeWLcZK8lQKvCn3E2ZTgcDlQ1zBTUajWz579NhNHIlDEj63wdl8VM5qxZZM6e7XPtectfe8l85eV61azXJSUR2u8upMOBy1yKOj4eXVISEYGNo4903s5sAKKCtOS2akm8l4XorUePkv3KK9jT0gjp3w9cLqhlJ6fsU/DdXS9jVpYQqY/2S8h7ubFJSwcv1/O14cjNxfL336RNnkLMlMmVpAoaknVf/w+Hw87NffrX3rgGlKEhRD4xCq0fq4M67HZUtezyqVQqZr78BpnpJ3E4HFgtZp9SNVwWC5mzZmP9+2+MT4/2WR4k/7PPsB0/gQiou99Nn5SEPskdahB4WVcCL+uKTq0gNKBxNg/O25kNuMtQGIPca2yX1YIjNweXvXIVBYmkcM0a0idMcGuGTJ9O+D2DvN4yvir2Bv5vb0+u3HEzr1650i+h7orQUBQ6XYXi7vVFm5hI7HMzESoVGVOmYtn3V+0n+QG73c6rLyQz5tnkekcqK3R699KwHkvLM3E6HeXBdTWhVCqJS2jON198xiOD+lLk5SzDZbWQ+fzzWFJSMD71JIFXdPdpfJaUFCy7dhPat2+9BLKkdOEsLMBpMpXrcUeH6Bot2PO8NjYAkQYNjr17OHbvfZwY/ii2gwcrtXGZSihYuQLdJR2If/mlcuvvC4X5eYR4JDz9gUCgv+wylOH+6xNAE59A3KznUIaFkZE8E/PuXX7tvypWfvweCc3dW/z1xe1vSMGRU1nvp6447A6UPmg7397vHjr+32U8cm8fCvJr1zMu3rgRy19/EfXkkwRe6bufpmDFChTBwQT17u3zuafjyMzi+EPDyJ43j+MPDUOTn+136c+aOO+NjRCCZu1OlbB1lpzakbIeOoR0OlAaDMQ//zzRzz6Lso7b0oUFBYT60dgAGEePJvTOO2tv6COqyChin5uJvnNn1LUULasvpuIi3n51LqOfne6X/qTdTvqkSZT84r8gO7vDXqPP5kyEEPxn2vNcfmUPPveismfwTTcR9/zzGK6+2uexWQ8exLx9OyF33IGinjthZVUWzDt2gMtFs9Z1czTXlQYvv+tp5zytxO7q0463FEL84Tl/mUcc3e9ENo9Fp3RPFaW5FOlykr/iM9ImTKDomzUAqKKM9QrtL/DzzKahUQaHED1uHKrwCI828tYGuc77b7/GFdf04qL2l/ilv4ZwEDsdDq8isyuMQwiefnYGDz72FHt3bicnq+KOpMtuI3vBAuzpaQgE2tat6zQ2VVQkIf36VRAirysKnR7hMVjGS9oRoG/ccjb1ndmUld9tg6fIXDXtzFLKTp6vO047/gIwz3N+PjCsnuOplpZXdyUs1ET03+9ifn4UBZ8uJfCqqzBcX0lCuU4U5ucRElqlra0zpdu2cmzoUGwnT9beuB4Ur1tH5qzZ5C9fXq7V7A+yMzNY+v4iRj0zyW99olSCEH7ejbJXkGPwFiEEQgg2//4zDw28jUzPLp/LYSdr7lxM33+P1RPXUleUIaGE33tvtSWIfCVUl0ObVmm06diwgaVV0eDld6vDU77lWqAs0ux9YDrwZj3HVCVxVyTQSpOCcO4jMVKwq9/jiL4Po6hnfk0ZBQV5hIb6d2ajCAzEVVyMPT291hrN9SHo+uuxHjhIwbJluIqLCX/oQb9ksL85bw59776fuAT/TdcFot5VMc/EYXfUuhtVEw+OeBIpJQ8NuJV3Pv4c5SdLMW/dRsSIERiu8T3St4z85cvRtbsIfQf/zAoDMrdycdcUFELCiXlw4lpo1tUvfXtDY5Xf1QkhtgAOYI6U8gsgAiiQUpb916QC1b6jqiq/6wv6kGKEkAgFuFwS7fZVHFz5h1sneOwYAi/vhvXgQfKXL0NhMKA0BKEwGFAEBhLY7XJUEZE4S0w4CwtRBgWhCAioENlbmJ/vd5+NOs4trO7wQ6xNTQilisjHR6IwBFL05Vc4TSaiHn+8XgXxDh/Yz4Y1X7L6h7qlJdSEv42Nezeqfo7Shx57ikC9nhMLFmA8dISI4Y8QXA+HrvX4MQqWLSNkQH+/GRtdyrfl7wFcdjj687llbIQQ64Gq9hl9mRs3l1KmCSFaAd8LIXYDlatp1SAuIqVcCCwEt56ND9cGQNG6J/LnubicNqRSg6PXg4RfHYPTZELtyXWSNivO/ALsqSdxmUzlyn7aC1qhiojEvHUr2fNfPdVnYCCKwEAixo/DXFqC8thRcpb94TFWBhRBBhQGA/pLOqLQ6XBZLSCE19uXP6WZebf7w+QfNRD1/p8M6ZZIz7YNkxQohILwoUNRBgVT8Pnn2Pr2RZuYWOf+5s+ZwdDHniIkzL9LS4DI0U+hioryW38Oe92WUWfS/+7BZMycybvBWgZf2Ib6qO0UrvwchU5HyK231ntc4JatPbJyKzHtFUghEEoNtPDdYV0fGqX8rpQyzfP9sBDiB+BSYCUQKoRQeWY3CUDDhbY264p48Gtch3/iRPD/4VS2INDlqlBnR3dxe+Lnzj01bqcDV2lp+VJLe1E7okY/hbPY5DZGJhOuEhMmh4PgkFCc2dmU/PEHLpMJnKfK/zZ7ZyEKnY7C1aspWLoModGcMkgGA9GTnkWh01O6fRu2w0dQGAL53WZg4QlI0qUzSLGPTaZ2vL7RHTbfYAYHQWi/fhh69UQV7i4LUpuQU1Vs2/w7KXt38eKCJQ0xzFprb/mK3VG/ZZR0OpAOB0q9nriZyVz82ScMG3g7Cz9ZRas2vldxsJ1MpeTXXwnp26feAmEA1sOHyJiRjE4dguO2JWhth92GphFnNdA45XfDgFIppVUIEQlcCbwopZRCiI1Af2Bpdef7lWZdUTbrSpjZRsrwp3AVFBIzY0a1an5CqarwsNVGY5VtDx/YT3BoGMHX9yb4+t5IJC6zBWkqxmkyoQxxO+P0HS5BqNQ4TcWnjFWxCeHR+DVv3UbRGvfu2MfdhpEUkMHHmtmocWBHxX22Z/lgk7rBjE0ZZYamaO1aitetJWaS9wXxytISHn9mkt+SFs/E8tdehF6PtmWr2ht7gdPhQF3HZZR0Osh+9VWc+QXETJuKUKq4654hqNUaHrmnD5989b1XdcZOp/DzzxEaTb1V+ABsqalkzEhGqdfT9bU5aFvWfbZaX+prbOYAy4UQw/CU3wU4vfwu0A54Wwjhwr37NUdKWRa6Oh5YKoR4DtgOLK7neLwiRK+h9chHSZk8nfQpU4idMR11TGyd+yvIz6vgrxEIt7CTXl9BQ7i6ap1lRDz8MGFDH0CaTBR8tJduio2ocaASLpAOuin2sa24Dc7SkkYpv6syGrGnpZM2eRIxU6d5JbG64dsvsVrM3HrnwAYbV86bb6Fp1RLj03Urh3wmDofdp6C+MqTLSfZrr1Pyy6+EDxlcwYd3e797aNW6LcaYWOw2m0+i8Zo2bVDHJ6Csa2b8aahjogm86kra3jeA4LNoaKCeW99Sylwp5XVSyjae73me41s8hgYp5W9Syg5Syo6e74tPO/+wlLKrlLK1lHKAlLJmyTQ/0vLyjjSbOQNps5E+ZSq2k6l17ssdPewf34RCpUYZGkZkkJZNrnbYUeGQCuyo2ORqR5i5mNTHRlLw+ee4LPUrTVMbZQXxXMUm0idPxpZ6osb2drud+XOSGT1xhl98INXh/90ou1fpCqcjXU6yX3+dkp9/Juz++wnp07dSm/YdL6XEVMyd13Vjz45tXvcdctPNFUrh1gVLSgrOokKESk3zUY8Rd2GLevXnD877COLqUCoEF/xfe2JmTEe6XOQtrrt/obAg3+/b3kO6JbJXeRH32Z7lFccA7rM9yx5nK247/AtCpyP/448x72r4VANd24uISU5GupykT56Cs7gqv76bzz/9gJi4eLr38EsJ9+pRq8Hu56xvH302eR98SMmPPxF276Aao7wNQcGMnfIcjw8dyM6tm2seR3YWxRvWIx310+ox79pJRnIyuYuXIAQkhJ190TQ4z7O+a8OgVRF3cRtEcjJKQ92XJQX5+X4P6OvZ1ojTVMz73xewTd+GqCAdI9uF0GZvLtJqJXLUKAK6uh18hd98g1ApCbr22jqJKtWGNjGRuFmzMO/aXa3DssRUzNvzX+T195Y1eGKfe2bjP/Esp8OB0keBsqDe16OKiPDKr9LrhltQqzUkTxjNsjU/VTuLKli1CtOG79F36oQqIrLKNrVRum0rWS/ORR0fT8Swh4gN0aFVnRsa1P9qYwMQE6zD1KIZVrsL6bCT89ZbBN98C9oLLvC6j8KChklVuKZZEEnsJeT628t9Pfbm00mfNp28999H06olmsREzNu2Yd6+ncIv/kfowAEYrrnG7yLn6ugY1L3dERCWfX/hLCyqUBDv/YWv07X7NVzcoXYd3foiVCqkH2c2docdlbr2t4KULko3/UHAFd3QxCdUkIetjat6XU/X7u6t5pS9uyqlbzhyczBt+B7DtdfW2dCU/LmZrJdeRtO8OTFTpxASFU6EoXG0arzhX7uMKkOhECSE6RECnEVFWPb+RcaMGVgP/O11H2c6iP2F2mgkety4Ck5ldUwssTNmILRaCj5bgUAQPXkS0ZMnoQgMJOe11zn59BjMe/f4fTxlFKxaRdbLL1O0fh0AOVmZfPruQkaN82NaQg2EDxlC+NChfuuvNvEscMuQ5C58h6yXXsK8zXv/y+lotFqOHPybR++7i19/2FDhtcIv/ocEQuqYeCudDvI//hhNy5bETJ+GOiT4nFk+lfGvNzYAARoVUUFaVOERxM5MRhEURMaMZCwp+7w6v6GMTZnmyJmoY2KIe24mUaNGAe7dr4BLOxM390WM48YhFKJc3Nxltfg13wnAOGYs+o4dyX3zLQq/WMVb/32RO/oPIqF5C79epzq0rVv7NPOsjdoSMSWSvEWLKF67lpA7+6Lv3LnO12pz0cXMX/Qxz45+lB/Xf+u+fkE+xevXY+hxTZ2KKkokQqkiZupUYqZNRRloID5U3+AC5r5ybo3mLBIdrCNIp3LLL8xMRhkeTsbM5zDvqX2GUFSQT7CffTYAuW8vJHX0U1W+pooyotDpcJpLyXz+eaxHjyIQBHbrRty8eeVvxtxFi0mbMJHSnTv8ZnQUOh3RE8YTeNVV7Fr4Nt+uXMrDT471S9/eYP17v1+z1GtKxJRI8hYvoWjNtwT36UPY/ffXu/Bfpy6Xs+C95ezdtd19/YIC1AkJddqBKv5hIzmvvY50OVGFR6DUBxBh0NRY1fJs0WRsTqNZeAA6tcI9w0megSYx0SsNEffMxv/GxpGdjdDWfH1XsQnr0aNkTJuG9ai7pvfpbwbdxRfjLMgnM3mmX9X5hEpN1FNPstRuYmDnboQ2gLGtjsKvvyFvybt+668mWVDb0aMUrV1L8O23uWNp/FRhNKlTZ0aOmciOLX/ww+4dxM190edYr6L168h5fQHO/LzyUIAgnYq40HNr+VRGk7E5DaVCkBgRiFIhUIaGETt7VrkOiT2j+gJ3DZGECeDIyqo1B0htNBKbPAOh05ExbTrWI4crvB7UqxcJr79O+CMPY0tPI33yFAq/rnuJmdPZuW0Lfxfm8cii9xBCgbMgH5cfd4mqQ6j9nYjprNZno23RkrgXXiB86NAGKWWsTE/nhWkT+GrlMp/OK/x2DblvvoX+0k4YJ05EodGiUytoFu4fKYqGoMnYnIFGpaBFZABCnJohFP+wkdSnnqJk8x+V2kspKWiA3SiJxJGTg8qLNbw6OuaUwZk+o5LBUajUhNx0M80WLCB8yBACL3fvIlmPH8N67Gjdxicl82ZP4/Gxz6IPDMLlsJM+bTpZs2c3eLChv4P67PaKEcQSSd4nn1Dy++8AaFu0aBBD4zQVE7z0M164YyDz5yTz9arlXp1XuGYNee8sIqBrV4zjx6NQayp8UJ6rNBmbKgjQqCp48gMuuwxNq5ZkvfwKJb//VqGt2Vzq1gv2k7hRGa6CQqTN5nV2c5nBUSckVKvRo9DqCOnTpzz5tOCTT0kb+wxZ8+ZhS/NNoOuHtd9QXFTE7f0HuftWqQm5sy/mPXtJnz6jxuC/+uL3CGLHqQhiiST/k08pXLkSSwPu6AEUffU1LouFSx56mEXLVtMuqSNS1u5X0zRvhqFnT4xjx6JQqRECEiMC0KjO7bfzuT26s0hogAZjsDtGQRloIGbqVLRt2pD1yjxMP7v1b39JX8u4P++j9VsX8OSv/fglfa1fxxB8+23ofCgup46OIXbWc6hjYt0zo+yqq3WWETnqcULuuovSLVs4+dRot4xlVvXn/JK+lid/7ce9G67mbdNsbp3Yr4JjNahnL4zjnsF+9CjpU6bgyMv1euw+oVL5uUidszwRs2DpUgpXriSo9/WED2sw4UicpSUUffMNAd26oW2eSItWrWnVpi0vzpjIR4sr68dJJFaPWL++fRJRTzxRrjeUEKZvlCJz9aXJ2NRAdLCOEL37n1CpDyBm8iR0F19M9muv8WPKchalvEC+IwchrYj8iQAAIABJREFUBDmWTBalvOA3g6MMDSVi6IM+a9eWTfcLli3n5DPjKi2pKlzDEET4vffS7I0FBN96CyU//0zJzz9V2faX9LUsSnnBU/1ToggV/Kz4ptL9Bl7WlejJk3Hm5JL7ziKfxu4tIbfeSsyMGX7rrywRM3/5cgo+W4Hh+uuIePRRv6gVVkfxN9/gKikhtH+/CscHPzyST99dyLtvndJNkkjyP/2UtPHjMe/ZXaG9MVh7Tu48VUWTsamFhDA9eo3701uh0xP97ESM/xnHytxlFQrQA9hcVpYfftsv13WWmHDZ6p6XaujVE6H3+HAOH6qxrTLEbdgS3lhAsEesqWTTJnLfew9nUSHgrn/t7f3qk5KImZlM5KP1qwpaHaooo1/jbBwen43LYsHQqxeRI0Y0qKEBsKWlEdClSyWZjLiE5iz57Gs+//QDNv3yo9t/9MGHFK5wz7Z07duXtw3Rq4kObhgZj4ZAeLNGPNfo0qWL3LLF/3KT1eFwujicU4LVfirI7t4NV1OlsKCE1ms6EhOfQGxcArHxzYiOiycmLt4nv07uoncw/fwLie/XvS62PSuTjKnT3IX3pk1F28r7N2j+smUUrFiB0GgIvu1WRhnfpKr7FQg+vq76sirS4SB7wQKCb+iNrt3FdbmNSliPHcV64IA7F8wPaRkTRz5E9+tu4LZ+d4OUDW5oynA57Ciq2QUrKizAEBzMvldeQf/rb4TccjPhw4aVjy1Qq6RFRCCKRnYICyG2Sim71OXcc3+hdw6gUipoGRnIkdMMToTWSK41s1LbIBFCp8suJ/1kKts2/0562mdknEwlI/0kgYGGciN0ujGKiU8gJjaeSGN0ecVIuxfb3rWhNkYTk5xMxtSpZMyeTbMFC1DUErdTRtjddxN41ZUULF9O4YqVhAxWUBjkrNQuQlfzbpnLZMJ2+DAZyTOJemYsgf9Xp//TClh27CDvgw8xXHU1Qlc/Y1P4v/9R9Odm6HaVewnawEmkLqsFZ2EhamN0tYYGIDgklNLdu0he9BqdLv0/xp8Dhqa+NBkbL1GfYXACd4aS2zoLVKc+7TUKLYMveqrK8rsul4v83BzST6aSnnaCjLSTZJxMZee2P8k4mUp6WipFhQUYY2KJjUsgJC2DaGM0rT9+j5i4BGLjE4iJi/epvjS443BikpOxp6V5bWjK7yc+AePTY8i6/jry5g9BNSAYedr9Yoe72jxUYx/K0FBiZyaT8dwssl6cS9SoxzFcfY1P46hEee0oO1D3ZUThV1+S98EHSEMQ2rD6C1V5Q/G6deR9+BEJ8+fXWkI4oMMlzH/3U56cMYGXZkxi3LTZGHSqf6ShgSZj4xNqpYJYg5KDmSbG3T2HPZY/WXl0MTmWTEKLFfQRPbkytmpFfYVCQUSUkYgoI0mdqs6tsVosZKankZZ2gr1Tp1AUHMyendtY/81q0tNSST+ZilqjPm1m1MxjhE4Zo6jo2EoSBqfLmZp++QV1bKzXPo/c7CxGjh1Jt6tvp9slV7P88EJyzJmElqpw/qzgqy+Wc80bN9dYw1sZHELMjOlkzXmB7P/Ox2W1Enx93SsPlFd9qMeOVOHXX5H37nsEdO+Ocs9m1PWooe0tLpuVgi++QNeuXbWGRjod5C5ajKFnD7eWULfuLPp0NVPGjsRcmEtSfKt/pKGBJmPjE6WlpdzVtw/X9OjJPY88SYT9Fnok3IJ0Ocl5w+PTkLLOU3GtTkfzlq2Ij4wkOjSK8AH3EXLbKb0UKSWFBfmknzxRvjRLP5lKyp5d5cYoLzebyKjoM4yQ+3u0MRrX++8RYLURO21atQbnl/S1LD/8NjmWLFwFTjoM6szYoTMRQnBV7I1YUlLI+/gjig/uYdqhX3nxsQcZ/8biCrKYZ6LUBxA9eRI5b76JtkXLOv19yhCe1IK6xtqUbNpE3pJ3CejWDeNTT+F8aFCdZEF9pXjD97jyCwgd/XSVr0uHg6xX51P662+oY2LQtXVn+weHhrL44+XEBalZuPBthg8fXqNxP1ep119YCBEOLANaAEeBgVLK/DPa9ALmnXboIuAeKeUXQoj3gB5Aoee1oVLKHfUZU0NhMpm4/fbbadasGc9OnABCwZGcEsw2J0KhJPLxkeXORWdxEYqgoLpHnSrcZVV0SR0qHBZCEBoWTmhYOO2SOlZ5qt1uJysjjfSTqWSkpZKRdpIDKX/x8/dr3Uu41GO4LFYib91IQvsOxLe5sNwYxcYlkBZ0jM+zl5TvPClCFRwJ38evGevKl4e6iy4iduZMQnfsZNp77/L0158RMWwIj7z3Sc23pdZgfPJUYmnptq3oL73UZ4dseQlee91SI/SdOhF6z92E3nknQqXyBPX5X3TsdFwOO4VffIG2XTt0Se0rvS4ddrLmzaN00x+EDxlCSJ8+5a+F6NU0C9dTWlrK0qVL2bRpE4sXL25Q6dWGoF67UUKIF4E8KeUcIcQEIExKWW1FTI9xOggkSClLPcbmKynlCl+u29i7UQDLly9n7dq1vP322+UP2eWSHM0tocR6ynHqNBWTNn4CAZ07Ez7soQYJc68veYcOsXfqZDIL8rBe14scm42MtFTST57APKgQZVjlN3+kLppXr1xZ6bhEcuCrLxkxeQxT577GVV0ux/r33wRcfnmN9275ay/pU6YS2OMaokb6VhDPWWLCWVCAOjraJ2XCks1/oOvQoVIp24cG3MqIp8fTtXs9fUk1YPlrL+kzkomeOJGAThUFxlwOO9kvzqV061bCH3qoQq2o0AC1R2/J/bcsLS2lT58+REZG8tFHHzW6wTmbu1G+lt/tD6yRUpbW87qNRkFBAZs3b2bgwIEMGDCgguSlQiFoERHIifxSiszuKb3CYCCga1eKVq9G2u1EPDrc509uR0420uFAFRPTIMYq/IIL6DZvPhnTphHU4sIK0gbVbennWqqOLBYILrztDubHxzNq6ECev384sZs2o7ngAsLuHYS+U6cq70F78cWE3Xsv+Z98giwpJWrsGK+L9ykDDSgDDd7drIfiDevJeeNNQu7sS/j9gyu8VlMipr/QXdyeZm++iTK8cna8EAK0WiIefZTgG05tLkQYNJUyuAMCAli9ejWffPLJP24pVd/RVii/C9SWNXgP8OkZx2YJIXYJIeYJIc4dDUMgNzeXa6+9lrVr3VGyVWnrKjwJcGWpDQJB+ANDCLnrLorXrSNnwRtIV+Ut45oo/N9q0p4ZV/8bqAG10UjcS3MJucutDCedbmMZWc1Wdm1b3B0u/T+mz32NKUuXYLt7AK7iYjJnPkf65ClVqgaWFcSLeHQ4pVu3kjFzJs7SEq/G7sjOovCrL3Hk5XnVvnjjRnLefMu9fLr77kqvn5mI6W+cJSYAVOHhFQyvy2LBWVCAUKowjh1TbmiEgPgwfbVSEXq9nmHDhrFr1y4GDRqE1dpoRUnqRa3GRgixXgixp4qvPrWde0Y/sUAH4LvTDk/E7cO5DAinhlmREGK4EGKLEGJLdna2L5euE1lZWfTq1YvevXsz97QqmdURHayjeUQACoX7jRR2372E3n03po0bKVhReflRE47sbFRGY4MvwZSBBgQC67FjpD71FNaDBxnY6lE4wxWiUWjdx2uh1w238PATYxn3xssEzZxBxPBHcGRmUrxhQ7XnBN9wI8anR2P7+wCWv7zT2rFnZJD37ns4MquX/Sij+IeN5CxYgP6SSzCO/w8KdeXQfofDXucidbUhnQ7Sxo8nd0nF6h1Os5mMWc+RkZyMdDrKn7VKKWgVFUh4YO0pCO3atcNut9O3b1/M5obNtPcHtRobKeX1UsqkKr7+B2R6jEiZMakp828gsEpKWf6vLKVMl26swLtAtfVApZQLpZRdpJRdovxY57mG6/Hwww8zZ84cr6sFhOjVXBBlQKtWuA3OwIFEPDaC4Ftu9unajuxsv9ayrg1lgB5ckozkZC4raUX/6IeJ0LqNXaQumocvGl9l7FBVDBo6nGuuu5Gnhj+AtkdPEha8TsSDDwJgPXrUoyp4pMI5gVdeRcKCBeVldWurnOCtg9hltZC/dCm6pCS3oalmmeZ0OLwSPK8LJb/9hiM9A137U9HTzhITmcnJWPf/TWi/u8p38QK0SlobDQRovBuLRqNh6dKlhIWF8WgDpYb4k/ouo8rK70Lt5XMHccYS6jRDJYC+QMPm9HvByZMnGTp0KOHh4Tz55JM+lyXRqZVcEGUgSOf+hwm+vjdKg1vvpWDlSq/EpdzGpm4K+3VBFWUkdsZ0FAYDWyf8hw6FzXntqs/5+LqfefXKlV4bmjLGTEom0mhkypiRoFKXl39xZGRgSUkhbewzZL78MrbUU4UBy2QvzLt3kfrU6BoL4pUbm1q2vhVaHbHJM4meOKHGgEZHHUq5eIN0OSlYsRJNYmJ52R2nqZiMGclYDx/GOHYMgVdeBUC4QUOryECfdYNVKhUffvghs2fPxmazYTKZ/H4f/qK+xmYO0FsIcQDo7fkdIUQXIUR5yq8QogXQDPjxjPM/FkLsBnYDkcBz9RxPvTh+/Dg9evSgffv2NQpg14ZSIWgRecqPA2DesZP8Tz4h68UXcdlt1Z7rLDHhKimpULa3MSgzOKszjvPN9ClYjx+rc18KhYLZ/32bzIw05s85lZ0d2K0bCW8sIHRAfyzbtnHy6afJeWdhxXODg3FZLaRPmoz14IFqBluzsSn5/Tdy312CRKI2GmuNnK5JFrQ+lG7ahD01ldD+/co3CXLfWYT92DGM48YReHm3cv9MfKje5w+2MpRKJQkJCbz77rvceOONFBYW1n7SWaDBy+96fj8qpYyXZ5QLkFJe6ynJmySlvF9KedbMsslkomfPnjzxxBOMG+cf5+zpfpzALl2IGDEC87btZD0/B5fVUuU5QqXC+MxY9F3qn0PkK8rIKHY6LHS/9vpaQ+lrQ6vTMX/xJ3z/3dcs++BUCXdloIGwewaR8NabBN9xOyqPdrNE4sjPQ5vYgrhZs1AYDKRPm455185KfZcF9VUVQVyyaRNZ8/6L9dBhpK16o346TqfD5/K73lC05lvUCQkEnFZfK+LBoURPmUJgly6oVd77Z7zhkUceoWPHjvTu3Zv8/PzaT2hkmrK+AbPZjF6vZ/fu3XTo0KH2E3zEYneSml+K2eZy74wsWICufXuiJ070SlC9sTh+5DAPDbiVdX/+hRACZ4kJR1ZWJRkEXzhx9AgP9LuJaS/Mp8f1N1XbrmTLFrLnziXoxhsJvetOpJRkznwO+8mTxL4wp0LUsXQ4cBYWoAgKquCHKfljE1mvuCtLRE+ZgrIaxcIzub5LOz76cj0xsfF1vs+qcJpLcWRnozQEUfjll4Tff1+5f8agU9EsTI/Kz+VWpJSMGTOGCy64gFGeUj/+pD5xNv+sjfoGYN++fbRr145jx441iKGBU36c6BAtwdf2IuqpJ7GdOIEjJ6dSW1tqKuY9e6qtGdWQhIaHM+f1ReXT+Zy33yZj6rTqlzNe0KxFS/676GOmjn2cvTu3V9tO2yKRwJ49KPr2W048Poqir7/G+J//EHr33WgSEyu0FSoVqojIioZmy59kvTIPTauWRE+Z7LWhAXdFTH/uRkkkUrpQ6gNQBgSSPnUKprVrsZ08iULh1khqGRnod0MD7vCMV155hccff5xff/2VrBqUFxubf7Wx2bNnD9dddx0zZ84k8Yx/aH8jhMAYpKO10YDx+l4kLFiAJsFdvvV0H07x+vVkzp7d4FIHVZGTlUmnLpeX/x4x5AEUwcFuh2Y9DM4ll3Zh+ouv8uRDg0g9frTKNqrIKKIeG0nC/P8ScNllFH7xPzLnPE/IXXcihAJ7ViaF364B3PEp+Z8tP6NqqUDbpg0xU6ZUihCuDacXFTF9oXTLVtLGjMG8Zw/pU6bgKiwieuoUjG1bc2F0EGF+WjZVhxACIQQ//PADPXv2JD09vUGv5y3/WmMjpWT06NHMmzePwYMH136Cnyib5STEhiEEFKxcQfqkyThNxcCpbe/GTnOw2+0M7tub4qJTzkVVZCSxM2b4xeD0uvFWHn5iDI8/MJDCGvwJ6tg4jKNHE/fKy4QPfRCBwOWwc/LJp8h7ZxF5H32ItNsoWLoMy99/4ywsANw+sdjnZqIMCPR5bA6HA6XKP2H/EknBihXYjp8g67/zcJWWkjBjOhde0ZnmEQGNWqVy0qRJ3HffffTo0YPU03b+zhb/SmOzc+dOiouL+fbbb7m7iojSxiDSoHV/yrVuif34cTKmTcdZVOg2NpGNt+1dxs6tm2mW2Iqw8IgKx083ODlvvlWv5d2gocO5uldvRj9yH7Zaol61zRPLc4jMO3aUx9QUrvqCr95ZwbRuw7j/cAgPvvM7363ZBFBnA+3PREzzjp3YDhzAcN21KDRaLpqTTIerLiUkoGHTIapj0qRJPP300+dElPG/ztj89ttv9O7dm+3btzfIDoQvaFQKkm69lkuTn8V1MpX0qVMJzN1Jq+gDBGT6r7ysN/z+00auuObaKl9TRUYSmzwD4/jx9ZbMHDN5JmERkUweMxKXyzvDFdjlMmJnzUKXlMSfxra8r2xJy4AMRqpW01KfzsIjDjZsPYyzsKB8SSqlC+lweFVy2F9b3/rMLYR+NYGIRCUxjz3KVR8vovVll5z1Wk6PPfYYrVq1YuTIkRw6VLMedUPyr9qN+umnn+jfvz8ffPABN91U/c7I2aDgt00cnjKCjt2PIhQSVDqO3PIppdH/1yjX3/TLjxijY2jVpm2N7aR0kff++xi6d0d7Yc1tq8NiNjP83r507noFoydO9/o8ieShd36juW0/H2tmo8aBHRX32Z7lSGkMMzYtLs+atp04zsky3RilEqFUIhQKIh4djuGaHlgPHyLzxReRCiW3f/kJ3/R7AKFSEz5kMPpLOmI9eJC8jz5yn6dUgucrtH8/tC1aYj18iOK1az19qwg0pdBZuwwhJBIFYti3KBIvr/mGGpm33nqL2bNns379ei688MI69dGkQewl+/fv59NPP+W6664720OpRGj3biQ91BPF/ncRAlwOK4Hpv1MS3RnLnr1o27T2WdbTW6wWC5d07kKAF/4Ol8lE6ZYtmNZvIGbqlDoZHJ1ez/zFnzCk7w3EJTRn4OCapUXLkZJcq2Sgch9qHKiEC6SDbop9bNO3IfyRh9Fd1A4AZXAwYYPuQTpdSKcTXE6kw4E6Lg4AhV6PPikJm82GUqFAHZ8ATieifIdLIh0OdzyU0wVOJ9LpQFrcyxFHejrF69aXDy26VRqKNhKhACkE4vgvcI4ZmxEjRqDRaOjVqxfbt2/H6EW1VX/yr5jZfPvttxQVFTFw4MAGHJUfOLEZ+f7t4LCBUk1G389It0aT+vgohEqFtm1bdJd0QJ/UAW3r1j5pwNTEt6s/Z83/VjB/cc3iV2U4cnNInzYNV0Eh0VMmlyvK+Yq3MTgALouZ7FdfZZyiAy31GZVmNicMHVjywGU+j6G0tISeHVuz+UDNOzYumxXLvn0oQ0LRtmiB9egR0sY+g9BqMLZtTeuOwYTnLwSXA6HUwAOroVm1qX5nle3bt9OpUydsNhtarW9CC/WZ2Zz3xubLL79k2LBhfPHFF3Tv3r2BR+YHTmyGoz9Di6uhWVdMRSUc/fVPcrbvxrJ7F7YjR0FKd15N9ytxFuTjKChEk9i8zv6Uac+M4qKkSxg0dLjX5/jL4OzavoUnht7NGx+soH3HS6u+VnYWmXNewHb8OPv6PcySgiDaO1PoptjHJlc79iovYlSv1vRs6/sndXFRITd268Bvfx2vcFwise7fj2X3bsy792BNSUE6HAT1vp7IEY8hpQvtwf0079oRfaAnpueMZ3cuk5eXR5cuXVixYgWdO1etiV0VTcamGr777juGDBnCl19+Sdeu5/bDrw2T1UFGoQVTbj6WvX+hS2rvjkxdvZq8999HERyMrkMS+g6XoO/QAVVMtFe7M1JKendtz6Jlq2nRyrfqm47cHDKfm0XYAw9UUp/zhe+//YrZk8fx/qpviW9WMd7JkpJC5ty5YLcTNWYMAZ068cP+LD7YdIycYiuRQVqGdEusk6EByM/L5Y4eXfhp1yFsx4/jzMsj4NLOSCQnRozAmZ2DpmVLdB06oL+kA9qL2hEaFkRMiA6d+p8ly3kmq1atYsSIET69P5p8NlXgcrm49NJLWbt2LR07Vq3X+0/CoFXR2migKFhLblQ4Jos7Lyjw6qtQBAe5P4F37ab0199ApaL5e++h1OuxHj+GMigIVVh4lf1aLRbuGjSYxJa+V5hURUQS9/JL5YXinMVF5RnevnDtTbeRkX6SkUMG8OGqtQSHniqrYk3Zh0KvIzp5Bpp4dxBkz7bGOhuX07FnZZH/0w8obDaOD3sYV2EhitBQmi9ehEAQ/cw4VNFGlEHBCAHBOjWRQRqvJSDOde68807UajUjR45k8+bNDa78d17ObD788ENWrVrF559/3oijalysDif5JXbySmw4Xe5nKJHYT6ZhP36cwCuuACB96lQse/eiTkhA36EDuks6oGvfvlxW0+HwTxJiyW+/kvPW20Q/+yy6i+q2pHopeRJ7d23nrQ9XIPLy0MQnIJG4zBaf0g+qw1mQj3nPXgKv6IZQqshdtIhDX6xiwv5tLH1igmdWmIQq8pSWkEalICxQTViAplED8hoTu92Oy+Vi7969tS6pmpZRp7FkyRKmTp3KunXraNeuXSOPrPGRUlJkdpBbYq0gvF6G9chhLLt2Yd61G0tKCtJiQd+pEzFTpgDwWL9bGDxqNN17+aZZcyaOvFwypk7DmZ9P9JQpdTI4LpeLscMH4zx0mKebtaH5q6+iDK178Tin2Yxlz24su3Zj3r0L+wl3FG3cC3PQtm6DPTODE0ePMPLpR/n2t13l5wkBQToV4YEagnRnJxivsdm2bRs33ngjn376Kddff3217ZqWUR5SUlKYMWMGGzdupE2bNmd7OI2CEIKQADUhAWosdif5pTbyS+zlsx1ty1ZoW7YipE9fpMOO9e+/wTNdLs3NZuuWP3j89bdI/+FX9B2S0HXw7HT5KCalCo8gJnkGGVOnkTlzZp0MjjM7iycCwhifkcbyNm0Y76OhcdmsWFNSUBmNqGNisR34m6w5LyC0WnTt2mHo2RN9Ugc0rdwZ5OroGISpuDwJU60ShAdoCAs8f2cx1dG5c2dWrlxJv379+OCDD7j5Zt/UJb3hvJnZ7N+/n7Zt22IymTAYfFPeP9+QUlJotlNotlNscVDdI/7th/UsmDWVV+9/FMvu3diOuOU6wx95mJCbbnZLTOTkoGnu/U6XIy+PjKlTcebnE//qfFQR3qVemPfuIWvuSyAlmkeGMfzZpxkyfBQD7n+whvt0YTtwALPHX2Xdvx9ptxPSvx/hg+51G58DB9C2bVttXe0jB1J45rEH2bJjJ8H/kllMTfz+++/89NNPjB9ftRz4v35mM3fuXBYtWsSuXbv+9YYGPMXsAjSEBmiQUmKyOii2uL9sjlMpAkKhZMDDI4m4+37A7eC17NmL9kL3rNC8ZQvZr76GIiTEPetJ6lDrTpcqPJyY5GRKNv/htaEBMG38AWVwMNETJ6COjWPB+58xtP/NxMTFc/W17iWeRGI7dhyXqRh9+yRwuchInonLbEbTogVBN93k3jFq59b7VWi07nZnoFMrCNKpCdKpcGRr0GvVTYbGwxVXXMEVV1zBhg0bKCgooF+/fn7r+x8/s3nuuef48MMP+f7774mP96/40fmIxe6kyOKe8ZhtzmpnPQDOggJKt2/HvHsXll27cXqytZstfBtVRCT2jHQUOh3K0Mq1kMqwHj6EtNmrXFJJpwNXcTHK0DBcdhvSZqtQD2rntj954oGBvPTUeFoUl2LevQdXYSGa5s2Jn+cusmrZ9xfq+HiUwSHVjkEICNSqCNapCNKp0ahOzdL+/PNPHnvsMRq76OG5zo4dO7j55pt55ZVXGDRoUPnxf+3MprS0lN27d/Pjjz8SU08Zy38LOrUSnVqJ05TOff3vYs36HyixOTHbnFgdrgrGRxkaSlCvXgT16uXe6Uo9ifXAgfIZS96HH1G6aRPqZgnoO1xyaqfLk/YgkW7N3ePH3YF/F51y2DtLTGS/Mg9HTg5xL811l1hRa3AW5GNJ2U9gt2507HwZo6/uzX9mT+PFK3rRousV6Dt0QN/h1GxF1+5U1YIyhHDfp16jxKBVEaRVoagmGdLhcNRLb/p8pVOnTqxbt44bbrgBpVLpl+j7+pbfHQBMB9oBXaWUVX48CCFuAuYDSmCRlLJMGL0lsBR3zahtwGApZa3CsV26dJEPPvgg999/PyEh1X+iNVE9H3zwAatXr2bFilOVj6WUWOwuzHan+8vmxGKvfvZjPXoE844dWMp2uqxWNK1aEe+ps2U9chhFQACZz83CmZdXbnDs6WlkPj8He2Ym4fffjyo2xt3H7l3YjrurKiS8+QZqYzS2E8dZ+tknfP7VKj74/LsKMTjg9nXr1Er0ZV8aJVqVwmvx8J9++olJkybx888/1+GveP6TkpKCVqslMTERhUJxVmc2e4C7gLerayCEUAILcFdfSAX+FEKsllL+BbwAzJNSLhVCvAUMA96s7aInTpxgyZIl3HPPPfUc/r+XtWvXcsMNFbe7hRDoNe43bBlSSqwOF2ab2wDZHC4cLhd2p0S0bOnWBu57Jy6HvdxBC+7aT+mTp4DTiSo6GpfFgmXuaCKuSuDkL6nYCwzEJM/AmZdP1vNzEBoNunbtCLumh9sv5NH00TRrzgNjJ5BdUsyYR+/nw8/+R3BgAHq1Ep1Ggbaeold2u71pZlMDF3mWv8OHD6dTPaLEoZ7GRkq5D6ouS3saXYGDUsrDnrZLgT5CiH3AtcC9nnbv454l1WpsTCYTGzZsILQeMRhNUMnYVIUQonzpVZVnxu504XBK7C4XzqjLsLs8v1uh1fixlG7fQemOHeiD8vm/rocQ9n0kdhWkqId63/bWAAAEfUlEQVSi79wRV7GJkNnJBLS/GI1Oi0opUCsU7u9KBSqFQKVUsOTNVxk4cCDTnxnFRx995Ldo16ZllHdMnDix3moJfnEQCyF+AJ6pahklhOgP3FRW2kUIMRi4HLdh2SSlbO053gxYI6WsvH3gfn04UJYpmMQ5UNCuAYkEKquh/4OJDxIxMQYRDyBBZppk2sliWXv93H8e592zO4O2UsqgupxY68xGCLEeqMr7OslTgrfWLqo4Jms4XiVSyoXAQs+YttR13fhP4Hy+v/P53uDfcX91PbdWYyOlrD522TtScVfDLCMBSMNt/UOFECoppeO040000cR5SGPEZP8JtBFCtBRCaIB7gNXSvX7bCPT3tKutVngTTTTxD6ZexkYIcacQIhW4AvhaCPGd53icEOIbAM+sZRTwHbAPWC6l3OvpYjwwRghxEIgAFp95jWpYWHuTfzTn8/2dz/cGTfdXLf/ICOImmmjin8e/K7W1iSaaOGs0GZsmmmiiUfhHGBshxAAhxF4hhEsIUe22ohDiJiHEfiHEQSHEhMYcY30QQoQLIdYJIQ54vleZ2SiEcAohdni+Vjf2OH2htmchhNAKIZZ5Xv9DCNGi8UdZd7y4v6FCiOzTntfDZ2OcdUEIsUQIkSWEqDKWTbh51XPvu4QQ3immSynP+S/cuVdtgR+ALtW0UQKHgFaABtgJXHy2x+7l/b0ITPD8PAF4oZp2prM9Vi/vp9ZnAYwE3vL8fA+w7GyP28/3NxR4/WyPtY73dw3QGdhTzeu3AGtwx8p1A/7wpt9/xMxGSrlPSrm/lmblaRHSncy5FOjT8KPzC31wp2vg+d73LI7FH3jzLE6/5xXAdcLb7Mmzzz/5f61WpJQ/AXk1NOkDfCDdbMIdLxdbW7//CGPjJfHAidN+T/Uc+ycQLaVMB/B8r650gE4IsUUIsUkIcS4bJG+eRXkb6Q6PKMQd/vBPwNv/tX6eZcYKTzrO+UKd3mvnjJ5NA6ZFnBPUdH8+dNNcSpkmhGgFfC+E2C2lPHuV4qvHm2dxTj+vWvBm7F8Cn0oprUKIEbhncdc2+Mgahzo9u3PG2MiGS4s4J6jp/oQQmUKIWCllumc6mlVNH2me74c9ya+X4vYdnGt48yzK2qQKIVRACDVP3c8lar0/KWXuab++g1tO5XyhTu+182kZVWVaxFkek7esxp2uAdWkbQghwoQQWs/PkcCVwF+NNkLf8OZZnH7P/YHvpcf7+A+g1vs7w4dxB+7o+fOF1cAQz65UN6CwzA1QI2fb8+2ld/xO3NbUCmQC33mOxwHfnOEl/xv3p/2ksz1uH+4vAtgAHPB8D/cc74Jb2RCgO7Ab987HbmDY2R53LfdU6VkAycAdnp91wGfAQWAz0Opsj9nP9/c8sNfzvDYCF53tMftwb58C6YDd874bBowARnheF7gF8Q55/her3CE+86spXaGJJppoFM6nZVQTTTRxDtNkbJpooolGocnYNNFEE41Ck7FpookmGoUmY9NEE000Ck3GpokmmmgUmoxNE0000Sj8P1diGQs6IwwHAAAAAElFTkSuQmCC\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best_sol], [b[1] for b in best_sol], 'o')\n", "vor2 = Voronoi(points2)\n", "dela2 = Delaunay(points2)\n", "voronoi_plot_2d(vor2, ax=ax)\n", "ax.triplot(points2[:,0], points2[:,1], dela2.simplices.copy(), \"--\")\n", "ax.set_xlim([-R, R])\n", "ax.set_ylim([-R, R]);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Le diagramme de Vorono\u00ef permet de construire un voisinage de points pour qu'on peut rapprocher le plus possible d'en ensemble de triangles \u00e9quilat\u00e9raux ou rapprocher une table le plus possible de sa fronti\u00e8re la plus \u00e9loign\u00e9e. Apr\u00e8s quelques essais, je ne peux pas que ce fut l\u00e0 la meilleure inspiration."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q10 - KMeans\n", "\n", "Une autre id\u00e9e consiste \u00e0 recouvrir la salle de points puis \u00e0 effectuer un [KMeans](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html) pour cr\u00e9er artificiellement des zones."]}, {"cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["def points_in_circle(N, R):\n", " points = numpy.empty(((N+1)**2, 2)) \n", " pos = 0\n", " for i in range(0, N + 1):\n", " for j in range(0, N + 1):\n", " points[pos, 0] = 1.0 * i / N * R * 2 - R\n", " points[pos, 1] = 1.0 * j / N * R * 2 - R\n", " pos += 1\n", " dist = points[:, 0] ** 2 + points[:, 1] ** 2\n", " points = points[dist <= R**2, :]\n", " return points\n", "\n", "R = 1\n", "points = points_in_circle(25, R)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "c = Circle((0, 0), R, alpha=0.2)\n", "ax.add_artist(c)\n", "ax.plot(points[:, 0], points[:, 1], '.');"]}, {"cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [{"data": {"text/plain": ["KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n", " n_clusters=11, n_init=10, n_jobs=None, precompute_distances='auto',\n", " random_state=None, tol=0.0001, verbose=0)"]}, "execution_count": 23, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.cluster import KMeans\n", "km = KMeans(n_clusters=11)\n", "km.fit(points)"]}, {"cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": ["pred = km.predict(points)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Les centres des clusters sont les emplacements des tables cherch\u00e9es."]}, {"cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax[0].add_artist(c)\n", "ax[0].set_xlim([-R, R])\n", "ax[0].set_ylim([-R, R])\n", "ax[0].scatter(points[:, 0], points[:, 1], c=pred)\n", "\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax[1].add_artist(c)\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R])\n", "ax[1].plot(km.cluster_centers_[:, 0], km.cluster_centers_[:, 1], 'o')\n", "vor2 = Voronoi(km.cluster_centers_)\n", "voronoi_plot_2d(vor2, ax=ax[1])\n", "ax[1].set_title(\"Centres des clusters - KMeans\")\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R]);"]}, {"cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.22015129672480682, 0.13834146640009876)"]}, "execution_count": 26, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_n_tables(distrib, R):\n", " best = R ** 2\n", " for i, table in enumerate(distrib):\n", " proche, dist = table_proches(table[0], table[1], distrib, R, skip_i=i)\n", " if dist < best:\n", " best = dist\n", " return best\n", "\n", "distance_n_tables(km.cluster_centers_, 1), distance_n_tables(best_sol, 1)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On essaye avec un m\u00e9lange de lois normales."]}, {"cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": ["from sklearn.mixture import GaussianMixture\n", "gau = GaussianMixture(11)\n", "gau.fit(points)\n", "pred = gau.predict(points)"]}, {"cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax[0].add_artist(c)\n", "ax[0].set_xlim([-R, R])\n", "ax[0].set_ylim([-R, R])\n", "ax[0].scatter(points[:, 0], points[:, 1], c=pred)\n", "\n", "c = Circle((0, 0), 1, alpha=0.2)\n", "ax[1].add_artist(c)\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R])\n", "ax[1].plot(gau.means_[:, 0], gau.means_[:, 1], 'o')\n", "vor2 = Voronoi(gau.means_)\n", "voronoi_plot_2d(vor2, ax=ax[1])\n", "ax[1].set_title(\"Centres des clusters - gaussian mixture\")\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R]);"]}, {"cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.22015129672480682, 0.21874003784217044)"]}, "execution_count": 29, "metadata": {}, "output_type": "execute_result"}], "source": ["distance_n_tables(km.cluster_centers_, 1), distance_n_tables(gau.means_, 1)"]}, {"cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.2"}}, "nbformat": 4, "nbformat_minor": 2}