{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Le traitement numérique des images" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Cette page reprend\n", "[l'article publié sur le site web Images des mathématiques](" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 256\n", "name = 'nt_toolbox/data/hibiscus.bmp'\n", "f = load_image(name, n, 1);\n", "imageplot(f)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Les valeurs des pixels sont enregistrées dans [l'ordinateur](http://fr.wikipedia.org/wiki/Ordinateur) ou\n", "[l'appareil photo numérique](http://fr.wikipedia.org/wiki/Appareil_photographique_num%C3%A9rique)\n", "sous forme\n", "de [nombres entiers](http://fr.wikipedia.org/wiki/Entier_relatif) entre 0 et 255,\n", "ce qui fait 256 valeurs possibles pour chaque pixel.\n", "\n", "La valeur 0 correspond au noir, et la valeur 255 correspond au blanc. Les\n", "valeurs intermédiaires correspondent à des [niveaux de gris](http://fr.wikipedia.org/wiki/Niveau_de_gris)\n", "allant du noir au blanc.\n", "\n", "La figure ci-dessous montre un sous-tableau de $6 \\times 6$ pixels extrait de\n", "l'image précédente. On peut voir à la fois les valeurs qui composent le tableau et les niveaux de gris qui permettent d'afficher l'image à l'écran." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 47. 46. 44. 43. 43.]\n", " [ 109. 81. 57. 47. 45.]\n", " [ 190. 191. 164. 119. 75.]\n", " [ 160. 178. 190. 178. 171.]\n", " [ 137. 145. 152. 160. 167.]\n", " [ 156. 151. 150. 157. 147.]]\n" ] } ], "source": [ "selx = arange(19,24)\n", "sely = arange(62,67)\n", "print(floor(255*f[19:25,62:67]))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Stocker une image" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Stocker de grandes images sur le [disque dur](http://fr.wikipedia.org/wiki/Disque_dur)\n", "d'un ordinateur prend\n", "beaucoup de place. Les nombres entiers sont stockés\n", "en [écriture binaire](http://fr.wikipedia.org/wiki/Syst%C3%A8me_binaire),\n", "c'est-à-dire sous la forme d'une succession\n", "de 0 et de 1. Chaque 0 et chaque 1 se stocke sur une unité élémentaire\n", "de stockage, appelée [bit](http://fr.wikipedia.org/wiki/Bit).\n", "\n", "\n", "Pour obtenir l'écriture binaire d'un pixel ayant comme valeur 179,\n", "il faut décomposer cette valeur comme somme de puissances de deux.\n", "On obtient ainsi\n", "$$ 179=2^7+2^5+2^4+2+1, $$\n", "où l'on a pris soin d'ordonner les puissances de deux par ordre\n", "décroissant. Afin de faire mieux apparaître l'écriture binaire,\n", "on ajoute \"$1 \\times$\" devant chaque puissance qui apparaît dans l'écriture,\n", "et \"$0\\times$\" devant les puissances qui n'apparaissent pas\n", "$$ 179=1 \\times 2^7 + 0 \\times 26 + 1 \\times 2^5 + 1 \\times 24 +\n", " 0 \\times 2^3 + 0 \\times 22 + 1 \\times 2^1 + 1 \\times 2^0. $$\n", "\n", "\n", "Avec une telle écriture,\n", "la valeur de chaque pixel, qui est un nombre entre 0 et 255, nécessite\n", "$$ \\log_2(256) = 8 \\text{ bits}. $$\n", "La fonction $\\log_2$ est le logarithme en base 2, et ce calcul exprime\n", "le fait que\n", "$$ 256=2^8 = 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2. $$\n", "L'écriture binaire de la valeur 179 du pixel est ainsi $(1,0,1,1,0,0,1,1)$,\n", "où chaque 1 et chaque 0 correspond au facteur multiplicatif qui apparaît devant chaque puissance.\n", "\n", "\n", "On peut écrire toute valeur entre 0 et 255 de cet manière,\n", "ce qui nécessite d'utilisation de 8 bits. Il y a en effet\n", "256 valeurs possibles, et $256=2^8$. Pour stocker l'image complète, on a donc besoin de\n", "$$ n \\times p \\times 8 \\text{ bits}. $$\n", "\n", "\n", "Pour stocker l'image complète, on a donc besoin de\n", "$$ n \\times p \\times 8 \\text{ bits}. $$\n", "Pour l'image montrée aux figure précédentes, on a ainsi besoin de\n", "$$ 256 \\times 256 \\times 8 = 524288 \\text{ bits}. $$\n", "\n", "\n", "Pour l'image montrée à la première figure, on a ainsi besoin de\n", "$$ 240 \\times 240 \\times 8 = 460800 \\text{ bits.} $$\n", "On utilise le plus souvent [l'octet](http://fr.wikipedia.org/wiki/Octet) (8 bits) comme unité,\n", "de sorte que cette image nécessite 57,6ko (kilo octets)." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## La résolution d'une image" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Afin de réduire la place de stockage d'une image, on peut réduire sa\n", "[résolution](http://fr.wikipedia.org/wiki/R%C3%A9solution_(imagerie_num%C3%A9rique)),\n", "c'est-à-dire diminuer le nombre de pixels.\n", "\n", "\n", "La façon la plus simple d'effectuer cette réduction consiste à supprimer des lignes et des colonnes dans l'image de départ.\n", "\n", "\n", "La figure suivante montre ce que l'on obtient si l'on retient une ligne sur 4 et une colonne sur 4." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sub = lambda f,k: f[::k,::k]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(sub(f,4))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "On a ainsi divisé par $4 \\times 4 = 16$ le nombre de pixels de l'image,\n", "et donc également réduit par 16 le nombre de bit nécessaire pour stocker l'image sur\n", "un disque dur.\n", "\n", "\n", "La figure suivante montre les résultats obtenus en enlevant de plus en\n", "plus de lignes et de colonnes. Bien entendu, la qualité de l'image se\n", "dégrade vite." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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JRBgaGmJsbIyRkZEeQdy+9a1vL87WHYmqMi9kpbxls9kkkUjQarXI5/MMDQ2Z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\nYmJCNStJPwOSmhcPW2OtjnNDRUN84oknAACrVq3CBRdcAMBrBiIP4Ms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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "klist = [2, 4, 8, 16]\n", "clf\n", "for i in arange(0,len(klist)):\n", " k = klist[i]\n", " imageplot( sub(f,k), '1 ligne/ colonne sur ' + str(k), [2, 2, i+1]) " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Quantifier une image" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Une autre façon de réduire la place mémoire nécessaire pour le stockage\n", "consiste à utiliser moins de nombres entirers pour chaque valeur.\n", "\n", "\n", "On peut par exemple utiliser uniquement des nombres entier entre 0 et 3,\n", "ce qui donnera une image avec uniquement 4 niveau de gris.\n", "\n", "\n", "On peut effectuer une conversion de l'image d'origine vers une image avec\n", "3 niveau de valeurs en effectuant les remplacements:\n", "\n", "\n", "- les valeurs dans $0,1,\\ldots,63$ sont remplacées par la valeur 0,\n", "\n", "- les valeurs dans $64,1,\\ldots,127$ sont remplacées par la valeur 1,\n", "\n", "- les valeurs dans $128,1,\\ldots,191$ sont remplacées par la valeur 2,\n", "\n", "- les valeurs dans $192,\\ldots,255$ sont remplacées par la valeur 3.\n", "\n", "\n", "Une telle opération se nomme [quantification](http://fr.wikipedia.org/wiki/Quantification_(signal)).\n", "\n", "\n", "La figure suivante montre l'image résultante avec 4 niveaux de couleurs.\n", "Les 4 valeurs sont affichées en utilisant 4 niveaux de gris allant du noir\n", "au blanc." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quant = lambda f,q: (around(q*rescale(f, 1e-3, 1-1e-3)-1/2) + 1/ 2)/ q\n", "imageplot(quant(f,4), '4 niveaux de gris')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Nous avons déjà vu que l'on pouvait représenter toute valeur entre 0 et\n", "255 à l'aide de 8 bits en utilisant l'écriture binaire. De fa\\c{c}on similaire,\n", "on vérifie que toute valeur entre 0 et 3 peut se représenter à l'aide de 2 bits.\n", "On obtient ainsi une réduction d'un facteur 8/2=4 de la place\n", "[mémoire](http://fr.wikipedia.org/wiki/M%C3%A9moire_(informatique)) nécessaire\n", "pour le stockage de l'image sur un disque dur.\n", "\n", "\n", "La figure suivante montre les résultats obtenus en utilisant de moins en\n", "moins de niveaux de gris." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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fYsEFWnNvZTJDxhhjLnFOjLAJtGNYtb1eY4zEzs7OMaHTpiOLxeosUnFKTWAs\nq3Fra2thwDVZj/LthjQ7t/YaVBKlvb29hXkpgflrDGSSxepPWeuZ+hCLVTrNkcq48mXyAu7aepSu\nsrVeK18mTtiWZZw7hCiXXrKQa2trC8Ma6ALf3t6eWYSAnYXW3EdJKh4J2E/aaG0C86dXyCrc2tqa\niZ8UbBJB+qG4kEt3mg+5sfocc5et/sqYqYS351np+oxGoyva8tTTGkOxGqkPgB1LjPUxJU59xRqr\nZKUf0VZnYpw6dWqbfz86OgIA7O/vY2NjA4eHhzg6OsL6+vpsHQnI2trawjb0X7K2toa1tbWF9aPR\naFbv/v4+gEXBoPGGp0+fxpkzZxYEb3t7G6PRCGtra9jf38e4GLh9eHiIs2fPYjqdYm1tDdPpdNYG\n1cdd/7W1NZw+fXq27OjoCEdHRwuWqtynw8PDWd38GMT2m8rwz7S//Jjy4/jud7/7JWbFTpL19fVt\nbXlKLMbjsRlGyYXqsLYfj8c4ODhQy5FwS++FkqL8PKbtqD4O1W+h9a3q/mpofaI2ptNpqXO7F2G8\n/vrrt+XFf3R0hLW1tQXB4Kytrc1EgcSElvOyXDik9cRF4syZMwtZ2o2NDdx9992YhoHOuPvuu3H6\n9GkAwB133IGf//mfn8XneJsklGtra9jb25sJKrVD7ZK40bYkjqdPn54t4zcE2QYdo9SfFE0p2Px4\nUB+obhfGeljCSJCwcAGS41KrCgV/Jl8TSBItnhiUQjIpnsoisd7Z2TnWVypviSztH9XF606Jd134\nfsm+lhXGXmKMcvIIQhvWwmNpWiabyvD/ch2N4ZMnj7UNLefxOIp5UgKG90Urq5Uh+AUSu4tqCaFY\nf4HjmX1t2E8s+++0Q467WMWlpJhdzhAhbVsOd/m1vnDLNxUX1RIubccZeXtymFFZenvyhT7LOQ2B\n+XPGwPwJEikw1sXMBYEL5s7ODjY3NxeEkpI+tA21xeuRwiXvyNQOzz7zQetaRpm3KZNM8nNsPGNs\n/y1kVp0siOnUn5WuixVjJGLCIbO+ufVIQSTB0oYEpdrhMcJYHFG2a9WVarPN+KI8Dkvz5Auw+JSI\nzB5rVqEc/yfjg1IU6W93d3dhGBAXPelK8NeWWllsWk91yeEvGxsbarxDijofehSz8Kw6rERNzLK0\n+uTjG5ujrDWkiY1Vl/xuWUb8u7SgLDFKZaY1sYuVSWWJ+040xehFGDc2NmZDWuTQFADHxEq70KUo\nksBI13vUgmFyAAAfzElEQVRnZ2cmYPT+E9qWMszcxebxCdk/mVGmH533nwSTxirKbbXMuow7SbHS\n3GPtmOSUk9l6ebNxqsPdWk0QpFhZdfDPmuUHBLdXTuZAnyeTybHnj1NiTX2X28hlmgBb63n/u3Ch\nm6QXYeTCJOcP5KJAnymQq8XrpBDSst3d3ZmlSMtoe7IUaRl9Pjg4mE3WQP2jbSi2uLm5ORNHWs+t\nUMviky61FCK6Gch6NFGzYoOxeKxlEcbmb3SqkxtTtKww7hpLYuMjuQuZcnf5tlLApNhqlmqO1WjV\nOXR6efKFBjcDi0+7AIsJGHmH5PFBKssFTSYtZJyRYpckGGS1avA+USxuY2NjIX5IgsgtQ81V5eW4\n+yzb0z7zY8QTPWViidY6/tSN0wypi18KSmqMYyohAhy/TqpYZZqlq7n2GjE3ni/rUhxjIYMcep1E\nggsMsCgqXPT4Mh4XJDebsKzKra2tY/E9GdubTsMMNmQx0lMuXKi5pUgiR2LJXXkt2ywFUbN8Y2hl\ncyzCnHqcZrDcSIm1zooXWuS6pprApcSMCyXfvo648fqGbkH2IozA8ViXtCClCPLttHpGo9FsXCJ3\nbYHwyOGFCxeOub1SnMgqpAkhuEUpXXWeeOGWHNWrCV8dl1VuL8MPWjhCq4N/9hdmNU/OBa9ZMym3\nlG/LP8fETms3Rkq0mhAyTfybFsnxWJ8Atwy9xhjlZ/rO3VLpNsrYGW3D/7i7TdvExkfyclKYaT1Z\no5Micw0g6oprdWrrtM85361scsqF5nFbjy02S9OJBS3OWKeNHJc4JsRt0UQb3Hpuor5ehVFexBSr\nu3DhwmwnNbfRisFpdZO7y7PDUgw59Hwzd781SCR5H7TY5nR6/FWmWkZZuvpynzU0wbXKazcKK7vt\n1EMTILJiYuJkXdDacsuNTomftp20QnMZiivchpj3bjECxwc+S6uQLEDtApZiqT1Rw8dKxoSA90Gb\nmotvxy3QmJsbc3ljlI0Z8v+pNrSEi4tju2jiUzU+GHO7Y6JALrx0Y8sgXfehiCPRVH96nY+RLkay\n6LjVRM8lE5p7rI3945ljq5yMMcYyvTIJJK1TTTR5f6y2eBm5nVY2J8mihQXkchrClBOTdOqRY8lo\ngicTHvx/bpyw7LpcuLs9BFEsk+EvwyCEkQSABlxLsdEyuTwjTPXRD8UzwNrgcc26lEOGZBxUs8Q0\nkZXrSVD5ZLR8UHVONlobpmOJqoS3ZZ3IOf1wmiPXSku5uFo9UlBz3GQpmGUFr4wFXBVtf8oknsrS\nW1aaIDHkg6y1i5+PA9TcU/oji4iPGeQCqA2lkeMKcxMaMZfVEhsa2jMuBoxr23AxlP2ICbFcNypm\nObESN7Hkj9MvUqy4NcRFQopRjjhVEcLcbHtb4qhl8du0WHubduz06dPY39+fTe01nc6nxyJOnz6N\nw8PD2ZRd6+vrs888Y8234XMNHhwc4OjoCAdiei8+/RYXxfX1+XRn9Fmb95HXw7ehab9oGfWX94+m\nBTs4OMDh4eGxdvi8i3Ib2Q85zdj6+vqs/f39fezu7i6U4Tcc2S4APPjggz7tWA2m0+k23Yy0WLck\nVi520dOQNLrBWtvzByX4Z163NBJibVI91Getj9SvnP0vw7h4VJcMG3rUV/aFysn9mpacdqwXi9GK\no0mrTVpAuRlYrQy9xU9aS7E2pUCRJWqFAjQ2Nzexs7NzzFWn/xM2SJ3KxO66sbbW1xdny5HHQe4P\n7UvuxeHE0YbXVKFKZjgV9yNBrBN/JIuQ/se2yXX9y2D132qrjkXZS1YamF+o0nXmMThAf4ZYc321\noTK8LVmP3NZyS7V+a99j8UWaCdmqV4pW6vllra97e3u4ePHiwvRnlsvMB87TMfcYYzPkZmqpTBPJ\nEEsYcsb2VUmkNHUDKAN/lStHLuPHo07/eosxxixGOc6Oow36JmJxQiBkZLXYHu+TVR9fr/VLK8Pr\nsRI4ckgSfbeSR7KfWgyR2kxZ1J6Z7oZc8akjklXie1XikVYdOWXKUte6rUMvFqMW9CcB4BMbcKuG\nX+hl4hc8DsmFxkrwWP2kdmMJEZlFzxEnmaWW/zXrkQuzfCd1GQtQi9E61YldjFqyg1t09L0quSIX\n65dWNiUw3LW2yLWirT6klrVBb640IYVBs2Lkfy0mpll31gUvZ8OR5bT6Y3G9VFlpBdJ21pAbzfLV\n6swZ6hOzbp1u0DKqOeViZS202F9dtz2nD21miDVkqKBpehNGLnJ0kXPriFth2jg+XgePVdKffHcy\nF0Itrkn1rK/PHyGkOqQI5Q7nketk0qlKPVZSiMOPU47V6sLZPlKc5AWdm8SwrCgphNownty4o1xX\nVvSsttugLUHu1WLkQpaasFazADVrj7bhz0cDixlYbaykFBNaxr/Lz7xMjvjIWGOZGJ/WP6uNKv1z\nmsUSljLurIXlfsdc1hyXOMetT1m1UqSbFMQukz29DvDm1p1mIVqCaAkYX88ffZMxN+7SymeiacC5\nbMdyXWNWn/W5qkhZ+8uxhDBmObpotge3EKUlV8Xayd3GyuDyjHIT1pbcPymKVZJCqba6oPcYIx/W\nIsVDusfSQkwlDrhrzOu3LEIZw2zK2rIyx7KvOfuj/aXWa+630z6a20zi0cRFXtVFlf3SXF9Zf5Xk\nDg8fdB2DrEuvM3jLz1o5a1vLAqL1XGx5HJMP0CZrkiasoO8bGxuYsIHXOZYiX8aTLSSKfNozbd8s\nl15zoTVhTw3Slm67u9jLDwmOJVoylqhZq5Yo5rYtt9EsUdluly5xVXod4J2T0S1LLMFBokdDXKRY\nyT7IWXlyh8AAi49GWSGBsvultSP7ltNPF8XuacNikoKUKzhlykoh48JXVuCaGrLTBb0+Emitq/qI\nGhdEYD4sR2ageZZbCgkfWM0FhA84pww6gIXZgHi/uVDRJBl8Oe8z/y+319COj+xvbMiPVc5pj6Zi\nerw+7X/ZNqXIxaxL+Tm33br73fSxy2FwwijXW5lbLm4cWj4uHiYH5gkWLpCaS2sNo9HidJYIWv3R\nnrGW5bTtrPUaOUNzrPqd+nRxAceyxXIoTk4mmscBeV1N9TNHSHPrOxHJF01MrHiajL+lXEESIppl\ng49hpIPLXdwJm4mE2qP1VvspcbOETu6XJcbW/mnbpbLV0o3PDQs4zdB08sEa8qMNk6kiTG0OseH9\nLHNMurYYexdG+dkqI4kN4aExjJrLTI8capldS5ykmxxzm3PryCE2FEirPyeOaYmqC2UztBkTS2WJ\ny1p9lrXYtAilkkMp+sho9zqOUVqLUiylVRm7+EkQNzc3Z6Io3W36PpnM58GTz12Tpciz1ZRZtlxs\nLX5oDT6n1y5IEaV+SgHWwgdU3ppQI5X55u3J5U67xFzhGPxFWrGy1jqZQOH1ynJaHTlxw5jQadun\nhLHPIT69j2OUaGPv+DRZJFg8u0xCRndULjJyLCShzd7DBVHWq1lvUrBpOf+f2j++3CrP25T18L7k\nuNXWOs9Qd4O82Hmyg/8R2jKtHokmhLIOKzvdVTyvisB3RS8zeN9yyy3bWoyRZsami54+r62tzWam\nlvE/Yjwe48yZM7PZvff397G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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qlist = [16, 4, 3, 2]\n", "for i in arange(0,len(qlist)):\n", " q = qlist[i]\n", " f1 = quant(f,q)\n", " f1[0] = 0\n", " f1[1] = 1\n", " imageplot(f1, str(q) + ' niveaux de gris', [2, 2, i+1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Tout comme pour la réduction du nombre de pixels, la réduction du nombre\n", "de niveaux de gris influe beaucoup sur la qualité de l'image.\n", "Afin de réduire au maximum la taille d'une image sans modifier sa qualité,\n", "on utilise des méthodes plus complexes de\n", "[compression d'image](http://fr.wikipedia.org/wiki/Compression_d%27image). La méthode\n", "la plus efficace s'appelle\n", "[JPEG-2000](http://fr.wikipedia.org/wiki/Jpeg_2000).\n", "Elle utilise la théorie des [ondelettes](http://fr.wikipedia.org/wiki/Ondelettes).\n", "Pour en savoir plus à ce sujet, vous pouvez consuler cet\n", "[article d'Erwan Le\n", "Pennec](http://images.math.cnrs.fr/Compression-d-image.html)." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Enlever le bruit par moyennes locales" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Les images sont parfois de mauvaise qualité. Un exemple typique de défaut\n", "est le [bruit](http://fr.wikipedia.org/wiki/Bruit_num%C3%A9rique)\n", "qui apparait quand une photo est\n", "[sous-exposée](http://fr.wikipedia.org/wiki/Exposition_(photographie)), c'est-à-dire\n", "qu'il n'y a pas assez de luminosité. Ce bruit se manifeste par de petites\n", "flucturation [aléatoires](http://fr.wikipedia.org/wiki/Suite_al%C3%A9atoire)\n", "des niveaux de gris. La figure ci-dessous montre\n", "une image bruitée." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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YWFig0WjQ6/XY3t4WBZ5qJ5WoampqShgUrVYrHUU4HCYYDOJyuURC7vF4cLvd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\n9uDKlSusDxdvvPAcb968CZPJhO7ubthsNuzu7lKy6+jowMLCAqnJTqcT09P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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = 'nt_toolbox/data/boat.bmp'\n", "f = load_image(name, n)\n", "sigma = .08\n", "f = f + randn(n,n)*sigma\n", "imageplot(clamp(f))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Afin d'enlever le bruit dans les images, il convient de faire subir une\n", "modification aux valeurs de pixels.\n", "L'opération la plus simple consiste à remplacer la valeur\n", "$a$ de chaque pixel par la [moyenne](http://fr.wikipedia.org/wiki/Moyenne) de\n", "$a$ et des 8 valeurs $b,c,d,e,f,g,h,i$ des 8 pixels voisins de a.\n", "\n", "Les valeurs des pixels sont positionnées comme suit :\n", "$$\n", "\\left[\n", "\\begin{array}{ccc}$\n", " g & c & h \\\\\n", " b & a & d \\\\\n", " f & e & i\n", "\\end{array}$\n", "\\right]\n", " =\n", "\\left[\n", "\\begin{array}{ccc}$\n", " 79 & 54 & 47 \\\\\n", " 192 & 190 & 153 \\\\\n", " 166 & 189 & 203\n", "\\end{array}$\n", "\\right]\n", "$$\n", "\n", "On obtient ainsi une image modifiée en rempla\\c{c}ant a par\n", "$$ \\frac{a+b+c+d+e+f+g+h+i}{9} $$\n", "puisque l'on fait la moyenne de 9 valeurs.\n", "Dans notre exemple, cette moyenne vaut\n", "$$ \\frac{190+192+79+54+47+153+203+189+166}{9} \\approx 141,4. $$\n", "En effectuant cette opération pour chaque pixel, on supprime une partie\n", "du bruit, car ce bruit est constitué de fluctuations aléatoires, qui sont\n", "diminuées par un calcul de moyennes. La figure ci-dessous montre l'effet d'un tel calcul.\n", "\n", "\n", "La figure ci-dessous montre l'effet d'un tel moyennage." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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L6iVHo1G6u7s1USRc9HA4rAlPn89HoVAgEokwNDSEz+dja2uL+fl5LBYLIyMj\nStUcHR0lFovR1taGy+Wivb2dcDhMs9lUhZ1MJgmHw1SrVWZnZwmFQpp4LBQKysy5ceMGIyMjeL1e\narUaDodDcwmlUolwOExfXx82m43h4WHlJosSX1xcVI8wEAjgcrnwer3KkFldXaWtrY2trS2sVivL\ny8ucPHmSWq1GZ2cnyWQSj8eD2+2ms7OTarXK1tYWIyMj1Ot1CoWCModMJhMejweLxcL6+jrpdJqr\nV6/idDqZnJzklVdeoaenRx/0nZ0d9WDdbjexWIzJyUlyuRxms5nJyUleeuklzp07pxHQm2++qThl\ntVrlxRdf/MAV/C//8i9fFCUk61s8QSMsUygUdN2JlykOgEAFohzFAIgil8ixWCwq+8LIzmg2m+Ry\nuQPKSzxB8dhFkciP1+ul0WgonVKSjA6HQ+Em+RFPular4Xa7FXaQazObzRpFScJYnAqXy6WYsig2\ngUvEgEnuQH5EGYoXLRGS0I5FUQs1V67d5/MprGJMugp8I4rW42ltmSD3TBT4Oz8nxs5oGI0sF4GP\npBYhEAio0hc6pxhcY5QDqOETPF7GbaRlSrLWZrO9p+j0nij4J5544mJfXx9XrlzRxJnL5SKfz7O7\nu3sgnFxYWCAYDCqvPB6PEw6H2d7eZmNjQ7HCzs5Ozp8/TyqVYnNzk9OnTzM4OKiK02w24/F4lGMd\nDoe16EGYDMVikUKhoMUy+XyeXC6nsEk6nSYej+uC7Ozs5Pvf/75ibPl8nsXFRR5++GGlZ0roGovF\nmJ6exuVq7bq3tbVFPB7H5/NRLBbVezl9+jQ7Ozv09fWRzWZZW1tjYmKCdDrNzZs3iUQiJJNJ+vr6\nCIVCbG9vMzs7qwyh9vZ2arUaXq+XQqGA3W5ncXGR3t5evve979HW1sbKygpnz55VTyaXyxGPx1lZ\nWVFvPpVKEYvF1Gg5nU5eeeUVBgYGWFtbw+v1EgqFaGtr486dOzz22GP6XUlcR6NR9dZOnz6t9L1m\ns8nJkyfx+XwsLy9z4sQJNjc3WV5epr29nXg8roUgDoeDyclJ9vb2FN5KJpOcPHmSzc1N7Ha7QnSV\nSgWPx0NXV9d78nLeL/mlX/qliwKfGJWuOBACDUjiUDx3WRNGD7VcLqsilLUhcJTwxAUrBg5EARKd\nGZOfxWJRoSBR4vLZdxZJiacvEJCRfy7nFIaPHBvQMYnnLNi5FFZJUlnWnBi0RCKh8yPRgkQvAr/J\nMyJGzuPksD49AAAgAElEQVTxKKQkSVu5HlH2klcQaqrAYGJwAoGAFlrKeMUZEQaLPOvynlyj/K+t\nrU1hKoGqhKIsRkXGJdcrCIDg7sFgUJW7XLusE2HPCYOm2Wze/wr+ueeeuyhhUSqVUus0MDBALpdj\ndHRUlfyHP/xhXnrpJbq7u2k0GppME8+oo6ODK1euUCwWCYfDxONxjhw5ogvk7t27DA0N4fF4VHk0\nm03u3r2rEUMoFCIQCOBwOGhra8PhcGhiVqonPR4PiUSCM2fOcPv2bRqNBsePH9fx1+t1jhw5wvb2\ntj6gJpOJjY0NzGYzQ0NDhMNh9cJtNpuyG+S1PFxLS0uEw2Fee+01xsbGmJ6exmq1EgqFCIVCrKys\n0NPTw/r6Ok6nk97eXiKRCOvr64yNjfHAAw8oHrmxsaGFUD09PbS1tREOh6nVamQyGR588EEKhQLD\nw8Na9CFcZYvFolGKwDSNRoNYLEZnZydOp5OVlRWCwSCLi4taaSeQhGC18XicUqnE8ePHFescGhpi\na2tLDXwoFNIqZcmtOBwOZfMcPXqUK1eucPbsWY22rl+/jt/v18hDIpITJ07w+7//+x+4gv+VX/mV\ni5JE8/v9msQ2YsRG6qLwygH16gSvF8Ui+K0k2uQhB1TJymvx6OX+CZVQWCOCJwPqMcucmUwmVdRS\n/CQwjyRyJeErmLFgxaL0Jfow8tv9fr/CPlLZmslkVNkJi0sgFVHMwgASz1hgPZ/Pp6wUcQCkUMmY\ngyiXy+qdC/tEogj5jtvtJpPJaG7AKPLdbDar1yhevkSJEmW+MzlspMkaE65icPb29lQfSRQn90QU\nvdyLXC6nCIAkeL/85S/f3wr+M5/5zMVkMkkymdTFFAqFyOfzCnncvHmTYrFIKpWiq6uL2dlZnaTR\n0VHFOJPJJP39/fT39ytOK4UisViMc+fO6WK+ceOGetZCLevo6GB5eZlUKoXf71cmj9vtJhgMsry8\nrJWD4+PjbG5usrW1xRNPPEG5XGZ3d5euri5N0AjPPhKJaFgpFZZSCp5IJIhEIvqZgYEB7ty5Q0dH\nB/V6XZk74XCY48ePq4e3ubmpxsnlcrGysoLJZGJtbY2jR4+yuLhIMpnU9grLy8tMTk7i9Xr1Z3l5\nWXHYjY0NdnZ2KJfLvPTSS4TDYRwOB1NTU8pV7+rqolAosLy8zPj4OB6Ph/7+fjo6OvTav/e972E2\nmzUfIt+bn5/H4/Fw4sQJ7HY7N2/eZGFhAYvFQm9vL6lUiuXlZfr7+6lWq1rAFQ6HVcElEgmdu6NH\njzI7O8v6+rpGUPF4XBk88rDk8/l74sF/9rOfvWikvYnCsdlsFItFTZQay/rFazM+6MABfNbIGhEl\nbSy+ke8KjCA1Cnt7exQKBfXMjbCMQAWiVIwFTUJOkFYR4pmKVykQjWDhkrAEFFqS64W3qYhGvF+M\ntODr8owaC4Fk/sTzlsp2SSzL/Em0YuSsSxQiyl6gEmNuBCAWi6mhkPEZ+ekCrRkjCoFxxJAJti6G\nRCp/RZkbI6lSqaR6QMYAKM4ukJz8JBIJZc9IBPGlL33p/qZJ5vN55Th3d3eTTqeJxWKaSOjr68Nu\nt+NyufD7W5sITU5O0tHRgcfjwW6389Zbb2n5ciAQ4ObNmwonZDIZhVnW1tbY29vj6tWrlMtl4vE4\nd+7cOcBkGRsbo7u7Wznlspg7OjoIhUI8+eSTnDt3TnnyQ0NDJJNJAoEAnZ2drK+vHyjcEU9ldXVV\nvTAj1plKpVhdXdUHbHl5mY6ODnZ2dmg0Wn1Zjh49ypEjR3jjjTcoFotaILS3t8epU6eoVCqcOHGC\nrq4urFYri4uLHDt2jLa2Nt58800GBgYU5hF4SZK7kn8A6OzsxGq1Mjg4SHd3N5lMhtdee42FhQX1\n4AqFglIP3W43MzMzzM/PUygUcLlc9Pf3c/78eVZXV5We6fV6OXr0KLlcjpdeeomFhQWGhoY0afTK\nK69gMpl46qmntLo2HA4ro0rqAiYnJzUZ7HA4SKVSrK+vaym+x+NRbr1wk8fG7k2XW1Hs4mnl83ll\nb4nilWjKqLyNCU1RhoJXG/FpOYdEerlcjkKhQC6XU7aJlM+73W59Vnw+3wH2DrQUikAmAsG0t7cr\njCQeucCPXq9X+6lIDxvxsCWRK9ROQJlbgsFL8ZNEyRLZCDwqilOOJZ6ywBMWi4VkMkkikTjwWZvN\nRiaT0bkvFovqWKXTaYrFoo5bmHHCaXe5XFo57/f7D8Ba4qF7vV41cJKoFWMh96vZbGrhWKlUUjhJ\nMHtjEZRcmxgHgeWkTUQymdQ2Dm1tbVpDIbkIo1F4N3JPFLzT6WRpaYnR0VEqlQoTExNsbW2RTCYZ\nGBjg5ZdfZmRkhMXFRXZ3d+nt7cXtdrO8vEw6naZcLtPR0aGZ7LW1NaxWKzs7OywtLdHb28snPvEJ\nrU67fPmy0tUmJiYUbxbO+8rKCn19fSQSCUZHR7VHSm9vL4FAgMuXLzMzM0O1WmV7exufz0dHRwcb\nGxvs7u4SDAapVCpEo1FtO/Dqq69y+vRpJiYmCAQCWqxULBY5efKkUq2SySRLS0uYzWaFoXp7e/Wh\nkAKlgYEBwuEwx44dI5/PE4lEaG9v10SmUKhisZgyhKSadGtri9nZWU3kORwOBgcHCQaDhEIhfD4f\njz76KJFIBLvdrg3QOjo6WFtbo7Ozk5GREWUmRaNR9RLFC5OKx2g0ytbWFs8//zzLy8uEQiF+7ud+\nDo/Ho5BMJBKhv78fs9nMd77zHZ544gnt7SOQmsPhYHV1VROsu7u72khtYmICk8lEJpPh1KlTSpXt\n7OzUFgb3QsT7MjbPS6fTqgwl6WhsHSAJOGFjCHdbPHA5rkAV8lu8TfGIjXxroUyazWaCwaDCPsaK\nVqkYTyaTChVKFa7cW+FlG3MEZrOZUChEb2+vKj85ruDoxmiiWq3S1tZGR0eHerDG/EI+n9djCAwi\nSedMJqO5M4koRXmLARRMXAyqsQeMsHe8Xq96/TKvknQeGho60LBNkuDiYEo04HK5FL7d2tpSiMjv\n9x9oGmdMZIvhlEiqUCjg8/loNluN07LZLMVikUqlokZKiBLSW0kMsyRhjS0o3o3cEwUv/OvLly+z\nsrLCxsYG58+f1wnv6emhXq/z4Q9/WDPJly5d0ptSq9VYX1/XGzAyMqKLa319nVKpxKVLl3A4HMzN\nzdHd3c3Y2BjRaFSx883NTeVSOxwOkskkLpeL6elpHn74YfL5PN/5znfIZDLUajWy2SxdXV3Km5+d\nnVUK5UMPPcTY2BjJZFLxyI9//OOaELXb7Vy9ehWTqVUOPj8/r9HDQw89hMPhYG1tTXu7xONx5ufn\n2dnZoVQqMTExwcbGBlevXqVSqeDz+VhcXMRisbCysgLA9vY2k5OTPPnkk+pJC64dCAT40Ic+xPj4\nOHNzc8zMzOh1/fCHP6RarfL8889TKBQA6O/vV660sapOrk9gIal69Hq93LlzR6mrk5OTHD9+nGKx\nyPLyMn6/n0KhoE3VHn74YW7fvg1AT08P3/jGNygUCsqkmZubY3p6mlAohNfr5a233mJra0uT8dLw\nrFgssrCwQKVS4e7du8RiMfVK74WIohGaokRA78RfJVch+LSE50blY6y2FLjB2KpAFI+RIinwjXj7\nYkwk3JfIVNpJCK9dcHhJDBu59BJhyBhFxDmSSMTITRcPVcYpYxQF6HA4lA9ubBsiRspYQCh5Arfb\nrVCIsUWA1JIYPWRhHQlbTWAXm82mTo+cRwybEeaSOgAxEMbmYnJ/ZC4FezdCbmJIjPCOzCWgyWto\nGXZR2mJIBJaShmmlUukAM+u9yD3B4D/xiU9cPH36NH19faytrTEzM8PY2Jg2lrJarTzwwAOUSiV2\ndnbY29vj/PnzbG9vK55dr9fZ2dmho6PjQBVkqVQiEomQzWY5d+4cMzMz2r52dHSUu3fvagdGqbhc\nXFxkZWWFwcFBwuEwyWSSZrNJV1cXTqeTQCBAJpMhmUxqyDk0NEStVmN7e1tpjtJQKp/Ps76+DqB4\nprApNjc3mZyc5MqVK+RyOUqlEseOHWNnZ4cbN25QKpUYHh5WXN9isbC8vMzo6Cjd3d04HA6NElKp\nFL29vVqUVC6XlXUkbYL9fj83b97EZDKxvr7O8ePHSafTdHZ2amJbPD5RSi6Xi1AoRLFYpL29nc3N\nTba3tykWiwwMDBCPx4nFYgwODuqcuFwu+vr6yGQyhMNhPB4PHR0dDAwMsLi4qB5Ve3u7zrtAPzs7\nO/j9ft544w06OzsZHh7WegWhpZ45cwZoPRBtbW1sb29z9uxZrl69SqPRYGVlhQcffFA9tj/4gz+4\nJxi8MTFYLBaVOy1tIgQHFoqhJEXhbfy6UCioMhSnRhSGcOHF+EpuRYyC9DUSKExabxjxbsGhja0D\npPBI8HFAk53STsBoPCRZLMpQ+h/F43EdgyjAcrms0I1ctyRUxdOVCKBaraonHggE1AuWa5Lkpxw/\nlUodoDhKfkEUo1AxRTGKwjcaXFHeUsUrBkLmQyib4uiIgRSYSeAnIRBI9CIKXtodA5oXkGuQeyOR\nnORC5LM2m41kMkmtVlPY8otf/OL9nWR9+umnLy4vLwOtxMnExATVapW1tTWGhoaU+xwIBKjX63R3\ndyseJqX9mUxGvUTBrc+ePavKu6Ojg4WFBXZ3d+nu7mZ0dJSlpSUcDgeZTIbTp0/T3t7ON7/5TT71\nqU8RjUaZn5/X0Nfv99NsNrUtsdzovb09JiYmSCQS2gM6FothsViYmZlheHhY+4Y8/PDDXLp0iXq9\nzsjICJubm9y6dYuvfOUrjI2N4fV6FTP3+/18/OMfJ5vNattdaaPb3t5OJpOhUCgoL7darZJIJLDZ\nbEQiEdra2lhaWgJaEVJ/f79S4axWq0Ir4q2Uy2W6u7vp7OxkYWFBG7KNj49TLpf1wZqfnycajXL6\n9GmFGHp7e8nlcvT19WmFo1QBCxYsBnN+fl49EsF4Nzc3aW9v58aNG9ohcn19XXt/TExMkM/nNZfg\n8/nY3t4mHo/z4IMPsr6+rv32H3roITweD8vLy+TzeW3f8Cd/8icfuIL/9Kc/fVEiTsGERYlKgVKz\n2VTaqSgdKYSR9z0ej+LJ4u0bedmC+4pylOSnkUIpdEifz3egxa2sHYE3RTEJbg+oshelmU6n9bWw\nRCwWC5lMRg1HoVDgtddeY21tjVAopAVD4iGL0pZowGazqYcthk3mQa7BZGr1fRH4T6IEMXaSR2hv\nb8fr9Wr/d8kLGJt8iWIVRStj83g8PxKhyHXL/RPnTGoFjH1pxFhI1GgschMHzUgZlRydJGylY6ix\nErder2u1fKVSUaKHQKjvRcG/N8T+fRLBsiTpIl7nww8/jNls1mSINDxqNBpsbW2xs7PD+Pi43oA7\nd+7o4trZ2WF3d5ezZ8+ytbWliTZhyQiFUqpFRSF8+tOf5qtf/SpTU1PqEQq+Pzc3x9GjR7X4wul0\n0tnZye7uLvV6nd7eXpaWlrhw4QJ7e3usrq6ytbVFZ2cn5XKZ5eVlDQk3Njbo7OzUZmk//OEP+djH\nPkZHRwfXrl3jxIkTfOUrX2F3d5f19XV6enpYXFyk2WzS3t6uD/X29jaDg4P09PSQzWZZXl5WCEcK\nTLLZLHfu3NHQUaIECetv3LjByZMnWVxc1GSV2WwmmUzqPE9MTCjWmUgkuHXrlhq5W7du8fjjj7O0\ntITVaiUajfLaa6/ppiHr6+sKm2SzWSYnJ7l58yaVSoXOzk6tCj5z5gyXLl3Sh06goeXlZaLRKKFQ\niOnpaa1UFAppqVTi7NmzysCRKG9jY4N6vU5bW9u9WNZ6HeLFSY90QI2cQF4C24jikXtlLM4RDrqR\nXinen7R8EHxXFDmg3Gsx1HIuQBtnyXiNuL94wqJQ5T0jxm/EvUVpS+W4EAWEHCERhUAiRmpmvV5X\noyZKUJSclPxLlCJKVjxiMYLwNhwjukTqIWQehOIpTBxhJxnbN4gCF2aSQE4C7chcGZuiGXsLST7A\nmBAWGEY8fzmXUeHLeCV3Isl3gUolgpJrlmTue5F74sH/xm/8xsXd3V06Ozu1KtRisahivXXrlnaW\nlO6Bu7u7XLhwgUQiwfb2thY0CC3xE5/4hEIgXV1d1OutnupbW1uEQiFyuRwOh0Nb6IrnbbPZtMz/\n1VdfZXJyUhO2Y2NjuFwukskk6XSatrY22tradPE5nU62t7fJZDLcvn2bEydOsLe3x+zsLE8++aTi\n4OfOndPdp/r6+jh//rw2xRJlZLFYiEajTE1N4fV6lU61vb3NwsICN2/exOFwcObMGb773e8yNTVF\noVBQCmE8HqfRaHDs2DFSqRRbW1sMDw9rZ84bN25QLBaZmZnh8ccf1/73kUjkgIJJJpN8+MMf1ghB\nYKHV1VWCwaDmDvr7+9ne3qarq4tyuUwymQRaIaa0E3744Yex2+0sLy9z/vx5ZmZmGBgY0OIWI6tA\nKJsmU6tbpewgJAaora2NSCTC3NwcExMT3Llzh8HBQa5cucLa2pqyiRqNBh0dHfeEB//5z3/+oniM\ngvkauxMKJ91IoRMvVLBawa+lGlPWqnh7Rk68YNjCHTfCHOI9ikITRSkKSOodjI2sJDls7Mooik48\nYpfLpfs1dHd3K0PFYrFo11SpUJfoRX6M9EPB2aV7qUCbqVRKK6PF6Ejpv0QfMmdiLCT5Kh63fN4I\nARkrh81ms0I1ch+kHYTkMYxjNWLmjUZDvyvQjbBphGUjBgfQY4mRkd/GKEEooXJ8MbLSxlzeF/7+\nH//xH9/fEM0zzzxz0e12Mzg4qLSl9vZ2yuUyN2/eZGpqiuHhYfU+7XY7o6OjTE9PA28XdKTTaTwe\nD8899xy3b9/WniZGxSeTL/iVVMXJVmV9fX1adSk4qYRbdrtdS/a9Xq+2HbBarQwNDWmRz/r6OufP\nn1djc/bsWeXhG6s3JeE4PDzM7/zO73Du3DkikQjj4+O6jVhnZyfb29sUCgUmJia0V7rVauXUqVN0\ndHRQLBb51re+pV7a1atX8fl87OzsaAuCQCDA+vq6LsC+vj66urp0B6qFhQW8Xq/mM/L5PFtbW0rF\nnJ6e1qRoPB7XhS4FWjabjenpaTo6Opifn9eul7Ozs0xMTGCz2XRjE5vNpo3iEokEoVCIQqGgLQ/m\n5+c5fvw4o6OjSimNxWJEo1E1VqOjo6RSKRKJBG1tbbpF4dbWlob1xWKR8fFxVlZW+NrXvvaBK/hf\n+7Vfu2hUasaeJwI/iEcGb5eoiwIRxS4G10hvlAShsZhHsHJRxIK5v1OhClQhyUkpoZeknhgV6dki\nXrUkRiVJKhWsAtUJjGJMlpbLZXZ2dpSOa6zcdDgc5PN5hVVE2Rorb5vNpu7zAGgHS4E9jf15pBrW\n4/FQLpe1w6Xxc41GQ3eMM1aJSrMwmT85pkRNYqgkd7S0tKQV83I+o7I2FqoZ6woE1pFrk2ZnorDl\nuzKPEnXJmpBzSD7Hbre/J/jxnrBohFkiRTdOp5Oenh7W1tY4c+YMMzMzrK2tkUwmOXLkCOvr69pb\nZnBwUBktFouFcDisDcoKhQKxWEw5vC6XS/cnbTabvP7669y+fZvZ2Vn1FGdnZ8nn88gGJKurq7qZ\nQbPZ1M6Vw8PDvPLKK1oVu7xfVv/ggw/qdnOnT5/m2LFjZDIZhZgktKxWqzrmRCLB008/TbFYZGVl\nhdnZWYVHpFWD0D+/8Y1v4PV66e7uVjgjEAjw2c9+lnq9zuTkJAMDAwwODvLggw9itVrVWIbDYfr7\n+zVM7u3tVcqd7OqUSCTo7++nt7cXQLnUTz75JAMDA0qJe+aZZ3jwwQeVRmmxWPjIRz6iu0pJjcEP\nfvAD3RZQ+s+IQT116pSG/NFolMHBQZ599lkuXLigUIvf7yefz3Py5El2dnZ44IEHtPvnwsICo6Oj\nbG5usrCwoPkZ8dSEXdPX13cvlvUBzFUKheShlYS6ETuWB128fWM5uyTvxNuXBKBUfRoLmoysmXK5\nfCASMMIP4r2LV2hktBgNkzDSZAzCp5c2AcZiHlGkUizU2dmpCVkxMGIc3snllnFLPkCqyWUuZS2K\nopU5k8+Ihy/wiyhZiWqM8I8oU/GmjZCMzLnU1YgHLR63VGNvb29TKpV07sVTFyNurBuQeyXJW6GA\nSlRgnDdh3RjhOIGq5PPyXYGf3q3cEw/+d3/3dy+Wy2XS6bRyTtfW1mg2m6rsU6kU4+PjbGxs8KEP\nfYhMJkNvby8LCwucPn1aMcLJyUlSqZRiXS+//DI2m43Ozk5tPSvFD1L5+Pjjj9PV1cXVq1f52Z/9\nWVWU3/rWtxgaGtKeJydPnmRtbU09cNkQvK+vj2AwyFtvvYXJZOLRRx/ltdde4+rVq5w7d45EIqFQ\nhLTYlSRmLpcjk8nwC7/wC/zpn/4po6OjPPbYY3rtEiZ6vV41Mm63W5Oka2tryr1/6aWXtMujeO8b\nGxscO3ZMk8kOh4O+vj6azSZLS0sMDAyQSqUYGhrSzo7Cx5WoQTwa2V5PaJ7FYpHe3l62t7d1gfb2\n9lIqlXjzzTepVqtajJbP57UtQyQS4fr167qwLRYLb775JoFAQLteyhaK0jxOPMFiscj6+jrHjh0j\nGAwSj8e1f4fT6VQGkNVqJRaLsbKywpkzZ/i93/u9D9yD/8IXvnBRIBLxWgU+kZJ1IyNDFJR4cPA2\nVU42tgAUk5b7aUz8iVGR9gjimUvkJAwNURjCMBHH452JTqPnKrkZqScRxSpGwYhBy7UKw6nRaG0a\nIi1J5NpFMQokIlGFeOmyP6soRYGAhH4sylQKxsRQSZQhcyCKUoydcPrFMJnNZs1tidcsRZWSEDWb\nzQrzClog826EW4xRmfT4l/yK1GjIcY0VwXK/5ZqM9QRC4JANbSQRGwgE+LM/+7P7G6L52Mc+dlHK\nhyWR6vf71RM+fvw4a2tr2iNja2uL7e1toJWgzWQyygzJZrOKu1mtVj760Y8Si8Xo6urirbfeoq2t\njUKhwOuvv85TTz2lGLHT6WRkZITd3V3dpCMajWoBTmdnpzZBkqKMYDDIyZMnyeVylMtlhXNyuRx+\nv59f/MVfZGFhQVkHbrdbe71L2NnX14ff76dWq/Htb3+b7u5ulpaWdJcYm83G4OCg0t8kpC0Wi4yM\njNDX10exWGRpaYnHH3+cwcFBXYR7e3tKsRSaongS0itfksGhUEjZRtJQbXx8XLHRZDJJd3e3KtCO\njg5MplbHQFlw4XCYjY0Nrly5wgsvvIDJZCKXyxGJRHRLPekX4/P5lNbZ1dWl2/9ZLBa2trYOhL1S\nESydM30+H9PT0/T393Pz5k3Onz/P7OwsgUCAmZkZHnnkEZaXl/nBD35AT08PpVLpPW1r9n7Jr/zK\nr1wU5SGwg2Dc4n0aE6aiJIzeuSjNfD6vCl4UoVAshcUh614YKaJ8hF4oHrsRXjFuoSfHF5hA1jmg\n+L3dbicYDCqd0qigRDkbvU+BJmZmZkilUpr8lXGIFy3cezF2AmUYN3E3HleiGhm7NHUTDrlELjLP\nxtyEGDS5ZoFqhNYoCl44/eJo7e7u8uabb2oLFaG8GjF3u/3tpnHCFgKUZil0SplTcRTF6Mt8iYMn\nBZACe9ntdo0cEokETqfzPcGP9wSiEd6o7KfqdDq1W97g4KAW+4hycblc2ue5VCodqGZdWFhgc3OT\nYDBIMpnkhRde0E25JyYmsNvtRCIRjh07pok9eaBkr9Ph4WEmJyd1B6ajR49qsioQCDA/P09PTw+F\nQoEXXnhBOzcmk0ndNUkSro1GgzNnzrCzs0MulyORSPDoo48yMTGBz+djc3OT3d1dyuUyPp+PF154\ngTfeeINqtcrGxgblcpm5uTnm5+eBt6vgJIm0uLgItLo93r17l4WFBdbX1zl16hQnTpzQFsjT09Nc\nuXJFDdobb7xBPB5nbm6Ojo4O7HY7W1tb3Lp1S8v9hWNttVoZGxtjbm5Oiy12dna4e/eu0jXj8bgq\nnZmZGU6dOkU4HNbNUnZ3d5mfn1fWkVRMzszM8PWvf113dqrVagrZRSIRHnjgAZ1r425ZU1NTynWX\nvUDFe8zn88zOzvK5z32Oa9euqXf0QUs+nz8Q9gt+bMSpBZ4QCER2PDJCEUamiShV4EeYLKIg5BmR\nY0vpu/RuEazZSBOEtytv8/n8gf4nkgQVhSusEiPkI9co1yBrtNFo4Pf7tfOq5G2M8IpAQuLRGnu7\nSMJXnlMxKLJVpSh9KXASZSzKWTpjSqRopEga5wFQirXAIEYYTWDWRqOhOT9A76VEIkYuvChkMWQC\nExlbGTgcDi0yKxaL5HI5crmcGgPpry/ev9FI5PN5EonEe1qT90TBy4bSYjnz+bxaqUKhQDqd5syZ\nMwwNDamSkvawAwMDNJutJv7ZbJbjx4/z5JNPMjMzw8jICBMTE1gsFqVNlstlLl26pDuveDweIpGI\nboc3PT1NrVbja1/7Gv39/do+YHl5mYWFBU28Tk9P68bWAp1MTU0Rj8e1FN1utzM2NkYsFiMUCinM\nsLm5qZ64lCnHYjGeffZZ4vE4Tz31FH6/n2g0Sr1eZ3C/zfHly5cZGxsjEolo50qPx0O1WmV0dJRo\nNEo4HKa7u5vbt2+Tz+d54oknuH79OlNTU4yPj2tbZNkWTzyLSqWC1+ulr69PK1SFennr1q0DVDmz\n2Uxvb68WSXk8HrLZLOvr6/z2b/82u7u7DA4OEo1GuXDhAj09PWxsbBCNRunt7dUOnw888IBW1nZ3\ndxOLxfS75XJZt2IUxRCJRHQrOilv39rawufzcfz4cSyW1qbpGxsbfPzjH+fOnTvcunWLmZmZe7Gs\nNakqSkiSjMZknuQm5OEXuEIMeK1W017vxi3c5Nji6Qn2LK0IxJuUvJMopGKxqNAFvK3kxTgai4Rk\n31wRcb729lq7FRlb44rSEeaKwCGS+5HiK3nPyCCSSnbZZEMUusyZQEEC7ci4pZOkkcEicIowTOTa\nja9kiKAAACAASURBVA3ZZF5lZyg5ntvtVthKxi79sF577TVu3rxJT08P4XCYtrY2bX8tRqnZbDVV\nkz49kvS2Wq0Ui0VNtorhEIhSoi+JSIyQm0CfUryZy+WUEppIJA5UE78buScQzcMPP3zR6XTS1dWl\nk1OtVpX7LaG+hJ7SiCcSiXD79m3Gx8d54403SCQSDA8PK7tGcDVhd+RyOQDdJSkYDB7oO764uKit\ndbPZrPa+kBvfbDYZGhqis7NTO1oKg2FnZ4dQKEQ8Huf48eM4HA6uX79ONptlfHycwcFB7TPx8ssv\n09vby+7uLgsLCwwPD2vpdVdXF2+++aa2BR0fH9eIoK+vTzc6uXPnjlaLJpNJenp6tCXB+vq69u4x\nm82cPn2aQqHA7Owsw8PDWK1Wdnd36evrO5Aw297eVvro5cuX6ezs1ApS8VqkD0i9Xmdubk45+MFg\nkBdeeIHe3l6ee+45zGazMltu376NxWKhXC5r/mNubo5ms8ng4CCLi4tEo1HdnES2qXO5XBSLRcXt\nM5mM9uIXmp5QZldWVsjlcgQCAQKBADdu3NBk/JkzZ3jhhRc+cIjmH/2jf3TR4XAQCAS0ZYGE4uLd\nijcs4b6R4+xwOMhmsxQKBV0fokhFaQk2DSi8IxCOKF/5jCh9MTKi2AW7t9lsamwEi5YiJhmXRADS\nNldK6YVNJQwvMVgOh0Odr0KhQG9vrypOUb4C7xg35TEmd8XjFthDaIKyiYZ4tRIVCKNHlLaR/SLR\niTHqkesT+Ed22BIoanV1VfcD7u3tpVAoHOgRLx67JNPf6XUbjY946wLtyPfEqxenT1ANo/IXOAda\nzsPGxgbhcPg9bSh/TxT8r/7qr15sa2tTSl8mk8Hr9SpkkkqlmJubU49WGlVduHCB9fV1ms0mwWCQ\nRCKhnHFp2DM4OKhhfTQaJZvNqid18+ZNLly4wPb2NsePH1fKYSgU0spPaPVHmZ2dVahodnaWYrGo\nkFG5XKa3t1ex0o6ODqanpzl69CjpdJqlpSXK5bJu+D00NKThu8fjYX5+nvHxcarVKuPj43z3u9/l\n8ccfJxAIAGh4Xq1WOX36tC6Iy5cvEwwGNYK5efMmvb29PP7442oUqtUq6+vrmjTq7Ozk0qVLxGIx\nlpaWOHPmjFK7ZBNtobQJRphMJrXb5djYGC+++KImroLBIAB/9Ed/RD6f5yMf+Yh2NQTY2dnR/XCF\nx+10OolGo0SjUarVqtIafT6fGpDTp0+zvb2tVcu3bt0iEAjoOpDulaIYjh49qvBVV1cXS0tLPP30\n07zxxhvs7e1x5cqVD1zBf/KTn7woiTtRmqJYZEs5UeQCNwqtUaAXSR4ay9XFk5Y+PLIngiTnjBi1\n8MVlDD6fT1ktYjAEfxZlJVCFFCSJYgJUucr/JHKQ10YGiDE5K8WKUmdiNFTlcvlAmwTZps9Y7CX9\n3AW/Bw4wTgSWKRaLWtEtO7KJsgcUL5ciMPm+zWZT2FeYfJLQn5+f59SpU0xMTGjUIUZV4CajARWD\nIUlmMajGFhGSI5TcoYzDmMiWpm+yv4GR6up2u1X3vfrqq/c3Bi+T3d/frzhUZ2cnU1NTRKNRRkZG\nuHDhgm5wMTMzQ6FQ4K/+6q9Ip9N0dXURCAT4xCc+ob1JBA6o1Wr09PRgs7V6cG9sbNDX14fFYuHs\n2bN0dnYyMTGBw+HgypUrJBIJbt68SWdnJ3a7/UBrXElWytZ6Z86c0Uqy69evc/PmTS2ECofD2rN+\nfHxc2+22t7cTiUQIBAIcOXKE7u5u+vv7D2Bs29vbjIyMEAqFeOutt5SZIg9zoVBgc3OToaEhBgYG\nSKfTbG1tMT4+zvLyMi+//DJtbW0sLy9jMpk4c+YM165do9FocPXqVZ2bnp4eKpUK3//+97WNbTgc\n1j7zAgdYLBZCoRBms5n5+XkGBwcZGRnR/VdfeeUVqtUq586d0y6O0pq1Xq9z4cIFotEoHo+HdDqt\n17q3t8etW7ew2+0cP36cpaUlpYO+/PLLrK2t8eqrr1Kv1+nv7+fSpUu60fmRI0eo1+vMzs4CaKJ7\nfX2dy5cv093dzZe+9CX6+vp0k/MPWsRTE3qjeLMSzQhsIrsIlctl9YZFicHb/VIk1yCYPKB8ctn4\nw4irSzQkPeCNPccF1hAPUbxuoSKKVwz/H3VfHtv2fZ7/UKREUqIkUiRF8RBFidQtS77iI76dJk3S\ntE3aoFgXtCk6FMXWbh1QoNgfG+A/hgHdsA4oOnTdgBbF1iNZ2rS1kzTN5Ti+ZUu2ZN2USIqXRIqn\nKOoipd8f6vP6q/z+SYAizggUqS1ZIr/k9/287/M+x30Yh5Oe8ncRdyddkO8tpwOlHQOtu7lk5mFR\nLpfFQ0bJBKICV8kqIfxC2iV/Pq+XEgZSPh82fWS38Ofy8OR+hwcil5vpdBpqtVruWe5Q+Pr4XvF3\nEVriwcmphp08D1r+mY0brwVfv5LWyfeAf0+YkuyaD/N4IAXeYrHIdt1gMGDfvn2YnJyUrtnv98sb\nSr8Tp9MJs9mMEydOYHBwEGq1GuPj4/D7/SLmmJ2dRS6Xw8TEBKLRKCorK3H27FmhnDU3N+PGjRui\n2Dx48KBgmnfv3pWT+M6dOzAYDEgkEtDr9ULJGx0dRV1dneDxtPRkuLfb7YZarcb09DROnjwp3T1Z\nByyMFO8o1YvvvPOOiFumpqZQUVEBt9sti+GOjg50d3djYWEBlZWVAhm1t7fD5/MJjq7RaHD9+nXs\n3bsXqVRK7A5ouRCLxfDkk0+ioaFBvG3ofcHue//+/chms1LkmeQ0MTGBK1eu4Pz587BYLDh06BDW\n1tYwNzcn3torKytobm5GMBgUlk4sFoNer0cmk4HRaMTm5qZATpcuXYLD4RC+Nd/vbDaLjo4O1NbW\nSpSj0WjE6dOnUS6XEYlEcPHiRezduxcPPfQQTCYTBgYGYLVa8e677z6Ij7VgvGTPAJDPBrA7DINs\nGxYJmk0pedJkdiiNxGpqaoQCTF9y0gVZiGOxmNB7i8Wi/A4uEPlgQeF7RziNxZzwAnFfFkgWTTJL\nlB0+sebW1lZ4PB4EAgGxwmVzRGZURcWOr01TU5MUXi5GWUiVB1ihUBDWEJkr9L3nIUErBiVTiNMF\nrxc5+cppKZFIYHR0FKlUCkeOHBGDQj4fjUYjqmKydVjUOX1xut/Y2JApbWVlBcViUeA4ALLP4MFA\nuKy2tnbXAjmbzYqlAw9M5fv3QR4PBKI5ffr0OY/Hg0KhgHQ6jdbWVukYiBX7/X4YjUb4/X4Z8+nh\nTh+VxcVFwYvL5TJMJhP0ej3m5uakg8pmszLS8gMei8UwOzsLu90upl5MESIDpLm5WVKiVldX0dzc\njOXlZUSjURw6dAiZTAbd3d0YGxtDY2OjZJXSKC2fzwv+x9dVX18Pm80mXXVzczM2NzfR1taG//mf\n/8Hm5qYYbXHUXV1dhdfrxfDwMPx+P/r7+7G4uCjLnVQqhWg0Kgq5lpYWGXNbWlqQy+Wg1+thtVrl\nYAN2is3AwABmZmbQ398PAIhGozAajZiamoLD4RDscXx8HAaDAel0Gi+++CL+8R//EQAwOTmJhoYG\nYUVsbW2JJ77VakUsFpMlFV8TRVzZbBYmkwmpVEpulKNHjwp0c/PmTXi9XolxXF9fl/xXGrd5vV6U\ny2Ukk0lJ5FpdXUUoFEIsFvvIIZrPfOYz54g5E8ZgN82iwEKnFCgpdRa0jyVmq/SNASDUYeLL7LpZ\nDAkz0J+GkAqLIgCx6iUMwmJFCb/yz0roBYBkGFMUxAmgvr5+VxAIoYWxsTF57eSWKw8KXg9OEIRT\neNApqaJcsFKfoSzwhEtIgOABS0YVsXfuP2jaxvS3oaEhlMtluFwuOBwOKdQs8MTslRCbckfBDl/J\niSf1VaPRoKGhQQ5UJXVSuaNR4vr8PJDqSk3N6uoqbty48fGGaJiIFI1GRdBTKpUwOjoqo5XX60Us\nFsP29jZCoZAsVdbX1zE0NISFhQW4XC6USiUkEgnE43EYDAYMDg7C5/PJknB5eVneGGLcPT092Lt3\nL2ZnZxEMBmUxuL6+jqamJhiNRqRSKczMzMjFZsiGy+VCJBJBXV0dJiYmxBGSSxmKf65du4bq6mp0\ndXXJMpMMA6vVilwuh+HhYRmpdTqdCL+8Xi9UKpXkvb7++uuwWCzweDwYGhoSHxmVSoWOjg7s27cP\nAOD1ehEIBBCPx7G1tSVYJwM8uANg8MhvfvMbbG5uYm5uTgKzLRYLDh8+DIPBIOyBlpYWVFTsmJGZ\nzWacP38eNpsNx44dkyQupW2zy+VCd3c3mpqaMDExITTGUqkEq9WK5eVlSdrhspWTF0PPHQ6HFEgK\nR2gFHY1G0dbWJhAD4w058pJ18FE/lMpOUhWVPugs6lQw8uZXUg3ZuTNvlYwSwhLclbDgKCmVLC5q\ntVqYOSzOxLyJvQPYJalXWhmwGyY8wyLJg4rFnQ0TMWQ+P9oDkK/Ozlzp6EgoQ6k6JZmCuwNOFcpr\nSUyeRAglH15JJ1UqczkpcVohHZQ0TTL36urq5B7m5MK9AAsyKal88Pnz/ef7wKaF/+W9we+hJ5aS\nFktbZX421tfXhaih/Fkf5vFACjxv6N7eXhw4cADXrl3D4uIiKioqhCKo0Whgs9mEI28wGKTD83q9\n8Hg8sjyqra1Fb28vQqEQvF4vcrkcjhw5IgvJSCQijBqj0SjURafTiccee0zyRUdGRgQDSyaTgpf1\n9fXh3r17ciCtr69jfn4e4XAYbrcbg4ODcpOxuPz1X/81KisrZaQitfC9995DMplEU1MTLBYLtre3\nceTIEdy+fRsvvPACgPvOg/RyeeSRR4Qr3tzcjBMnTsjyqFAo4ObNm7DZbMLSefzxx7GwsCA7gu3t\nbbFgGB0dxcMPPwyTyYS+vj4cOHAAbW1tIinneL62toaLFy/ipZdeQmNjI65fv44f//jH+OY3v4kn\nn3xS8FiPxyOLcY6UgUAAL730EhKJhCyVTCYTMpkMrl27BrPZLGZX9GIhD1yr1aKhoUEguZGREZhM\nJmFtsOOqq6tDLBYTc6p4PC7YKZWDH/WDOKvVahWra3bipCmWy2VpONjRKdWRhC1qamp2qUDJXiGe\nT8yZrCilGIrjPgsxi+77wzIoLgMg9EoGs5BKm8lkBFOurKzcFXzNB1llyWRSIE9+v8PhwMzMDCKR\niHSk/Lk8ELmAVqlUqK+vFzhqe3tbih6fx/b2joU3v67kvXP6oyaA9zIzHdjpr6ysIBQKyWeJRnp7\n9+6F0+kUcRc/o9x5KJkxwP2dBycS5cHHjp7vIXdUSqtmohY8ZJUUTuZRswHM5/Oora0VksMHfTwQ\niOZv/uZvzvGNnZubE2vfrq4uiZxTqVSYnp6WU3V5eRl+vx9erxf5fB7z8/Ny2jU3N+/C05jHGo1G\nheIX/GNotEqlEliBG3jKq0mdVKlUOH78uGD6AwMDArmsr6/jwIEDyGQyKBQKAi9xC0+MuaKiQgzJ\nOjo60NTUBK1WK0tfGnul02m89957ePTRRzE3N4dPf/rTWF9fF+yd4oiFhQUYjUa8+eabmJ6eRnd3\nN8xmM5LJJGw2m0wvX/ziFzE8PCyL5VwuB4vFIt7v1dXVQmPc2NiQZCuv1ysTwOLiorAUOB3Nzc3h\nC1/4AjY3NzE9PY3m5ma58WOxmCybyNUvlUro6OgAAFHZ6nQ6EThRZZtMJqHVatHW1iadvdFolImM\n008ikYDb7cb8/DxMJpPAHJubm3C5XBgaGoLT6YTBYMDVq1fh9/s/cojm6aefPkc8md04GRAc+ZUL\nTIp0uIfR6XSyXKebKBkZStyeODkhDnbHyr+rr68Xr/Ht7W0R1JCGyMOHqkrixkqfF9ICOQEoGTjs\nfvl3FHaRcbK5uYlsNitMMmo3lFCdcgGcz+dlz0KlKycAHnx8jYQ5CCOxYLJ75oHH66+kJRJ2InFh\nbm4OVVVV6OnpkfdRGcyi5J0rDfc4jfH3satn9CIhKwBiGEc4jIcxryEnbSV1k7x/sqC4J9PpdLhw\n4cLHmyZ56tSpc/wQxONx2ZLfuHEDW1tbOHToEPx+v2BqvFhcvlVUVCAcDmPv3r2oq6uDxWJBJBLB\nxsYGJiYm4HK5sL29LT40AHDmzBnMzs7CZrNhcXFRbAjoumgymdDY2CgMDF50u92OXC4Ho9EowQJr\na2vweDwS1ptOpzE8PIxDhw6JxDkSicj/L5fLmJyclJuKBZRik9XVVezZswcvvfQS9u3bh7GxMfT0\n9MDj8eD27dtoa2uTQtbZ2YmmpiYxHrJarcJpb2trw8TEBGpraxGJRAT3KxaLmJ6exsjICBwOh/CG\nGa5RVVWFq1evIhQKoaenBxqNBr29vQB2RtKRkRE8/fTTOHLkCMLhMObm5tDZ2YmGhgbMzMzgk5/8\nJBYXF9HZ2YnV1VU5UDQaDQYHB2G328W2gYKvUCiEPXv2iPeITqeT7jAYDOLQoUN44403UF1djSNH\njiCRSEh3m0wmUVVVhVQqJZ467Lii0Sh8Ph9eeeWVj7zAP/fcc+do/0y1I2EIJUzDwgNAPgf8M6EN\nLl3JxGDhoD6DRYYHBztHJaVwa2tLutbNzU352VxEsoCz4wQgVEYWT+LCLKqELLj85XMnnMLDi0Wp\nvr5emjEG5ygLHCdBThY1NTUifCKFkVPQ+20WlKwadvNkrfD6kU3Hw5G/d319HbFYDOvr67BYLHC5\nXPL82bkTJmEjw+cC3E/FUmLpXGa/nxXF1/N+i2Yl/MRmjnsQHsyEHbm/UKvV+PWvf/3xLvD/+q//\nei6dTksWY6lUQm9vL7q6ugAAbW1tsqyrqKiA1WpFIpFAa2urGO4YDAZks1mxs43FYiiVShIbx+Um\nCzZHfLJveOPQ0/zq1asi8qBFgVqtRjablSDou3fvoq2tDaVSCTdv3sTW1hZmZ2dlpAN2xsHZ2VlJ\nRqqpqcHExASqq6vFLMxsNqOzsxPxeByrq6s4ceIE1tfX0d7ejhs3buDb3/42SqUSQqGQwFmNjY0A\nIPF5DQ0NkmebSCQQjUYF42QsHkdC+v709PSgWCzCbrfLNAFAOsyWlhaBVe7duyeJV2tra5KTu7W1\nhb1798puRKmQ3NzcRDQalc6O6lbeiAzt5oLU6/VicHAQJpMJhUIB9+7dQ11dHUwmk4SXENriDbOy\nsoL6+nrZO1BO3tjYKIvEtra2D5V686d6fOtb3zqntCIgrELmBxknhKY46isx7vX19V3ePRSi8RoT\nmiBerUwQ4gKdakwAu3zjyc4hHMI/K+l/3BVxOcxizSKqpIHSt0Wn02FhYQFbW1vCPgEAk8mEmpoa\npNNpJJNJSWOjKpnpSCy8xMkJsSkLNg8h4v5cPHIJzV0DF5YslvwzXwsAoUPeu3cPfX198Hg8gq2z\nJrGYE/NW0jMJr3BXwALNiYyaAyUjiHAyqbFKS/KamhqZSLln4MHKv+PkZjab8d///d8f7wL/9NNP\nn2NuJwChEzKhaXR0VEYnjv41NTVYWVkRcdPS0hLsdrvYF4yNjaG1tRXj4+Oorq4WLI+c+FwuB7/f\nL0wVFrcLFy7g2LFj6OrqQqlUQmtrqxhqud1u6HQ6mEwmLC4uYmlpSToYj8eDxcVFLC4uwmq1wmQy\nYXBwECqVCl6vV0IynE4ncrkc9u7di6WlJQwODuLs2bMIh8MYGBhAsVgUF0Wj0Yj//M//xEMPPQS/\n349MJgO9Xi/LVdJB9+3bh0wmA6fTiampKZw4cQKNjY2yrCI1U6/XY2lpCZWVlfD5fMIgoGmYzWYT\nvJOjJq2GHQ4Hvv/97+OVV17B5z73OTidTrGCtdvtWFlZgc1mQ1dXF8LhsND3rFYrVldXcfToUWQy\nGQwPD2N7e1uuodvtFugmkUgIzGSxWHD69GnMz8+LGdvGxgZOnz4tjpiBQEDELPl8HvX19dDr9VhY\nWIBWu5NVm06ncfv2bVy+fPkjL/Bf/vKXz7GQ8yblIpWWHLzOzCqoqqqSG583c21trXSk3AMBkKaF\ny1V+XWlBrFarkclkJL6RcY/ssvk76U2/trYmZntUz3JxySJDxgiFdEqfcgp8FhYWpNFhgaOrJrBz\nEFPvwYOYmDNfPw897lrY9VLgxG6WMAYPLeWeQsmWURqmKZekMzMzQsl2uVy7RHx87YRSiMETSycU\no+zY+XtIlyRdmb+Py11OO6Ra8nCgroAQGSEdvtbV1VUJ/9BoNPjFL37x8WbRmEwm3Lp1CyqVSuxl\nr1y5IvL85uZmnDx5Env37hXOKBWOyqXd1tYWzpw5A5PJJI6Cjz76qIxZ5JTT54aFa3JyUpachFHY\nZYRCIaytrQm7Y2NjA36/H9PT0zK2JRIJzMzMoL29Hb29vXJDMU92aGgIN2/eFO/56upq8fngKFZd\nXQ2/34/a2lpxzuzu7obb7calS5fEf4YpTIcOHUI4HBYvjFAohJ/+9KdwOp1YWlqSv8tms8J8aG5u\nliAReu4sLCygrq5ORDgzMzNSQKuqqgQOo4/Oj370I+j1eonTa2trw8rKChoaGpDNZjE6OgqtVoul\npSWYTCbMz89Dq9VidHQUk5OT6OvrE7oe4YvZ2Vl4PB6cPHlSmDUAcOnSJezZswfRaFRGWb/fj0Qi\ngVu3bsHtdqO2thZ9fX2wWq0Ih8NYWVmBxWLBjRs3xEr49OnTD+JjDeC+yRg7ZdIUWcxIGSQswYUg\nixa7fhZPFo/q6moxgiNEwQLALlcZjac0DFNaGPC/SgxdqZxmF6z0m+GCkss/pYqVkInSYIsMFiWT\nhZ8rFikWO2URVql2PP3HxsYwMzMj0AoLO60VSBwg5EmWCVlE1CHodDr5fhbctbU1WfAy2D6fzwvz\nhdeGFtqEkADIa1WymTgBcelM/J0QGg8iAMK9p/cN9QG8Hly48/DjIQ5ADl5CRB/48/gn+VR/yMd3\nvvOdczabDel0GouLi9BoNOJ5TpMlv9+PqakpiYSLRqOoqalBMpkEAFnGKsc2o9GIdDqN9vZ2zM7O\nYnBwEEeOHBEMk17RHMNGRkawsrKC3t5eRCIR7NmzBysrK3A4HLLwi0Qi0Gq16OnpgdlsBrCzDCbu\n39jYKKNrbW2tJAy53W45hKxWK4J/zA9lV65WqxEKhQT6oMHU9va2uEp2dXUhm81KvJ/BYEA+n5dO\n9erVq9i/f784Nra3twvmnslkEAqFpHO32WyyL9jY2BCxVk9PD9555x2YzWZEo1HMzs5iYWEBr732\nGr7zne/AarVifHwcS0tLSCaTsFqtmJ+flw6I4Rq091XaqrKbNJvNSKVSgsGXy2XE43FJaMrlclhe\nXsa+fftw+fJleDwehEIhieEj64g3xPz8vCzmGIZCLNVkMmFzc/NDdTl/qsdf/MVfnDObzbKQJ+OF\nUAw7QiXVjt05xTeky3GZye9lgdvY2BDXUl5jLsSJ9bN4sLASGlJi68wl4IKUBw7FOoQ0WOyppqSD\nI8VX7EbZJfM1Kzn07FrJQqPQideE9wOntkuXLqFQKKCvr092E8DuQA/CKDyYiJXza7Qh5/Nktz80\nNITNzU10d3fDZrMhm82KT05FRYVce+7glAetEu5RsohI8CAUximTUwcPLh6EGxsbKBaLchgD9w8P\nQjfv98ehOduH/Ww/sMi+u3fvorOzE9vb28hkMpibm0N/fz9mZmYEa6qoqIDZbMa1a9ck1PfUqVNC\n+Wtra0NFRYUYax0+fBjlchmhUAiVlZVwu92YmZkR+EWv1+PWrVvo7u7GnTt3RDLt8XhgNpvFfTKZ\nTEoHxsVOsVjE4OAgurq6cO3aNWG1kMOuVqsF26bL5fb2NnK5HNxut6hB6QBIrxXygTs6OpBMJlEo\nFPDb3/5W4gc1Go1E75EupdVqEQ6HMTk5iRMnTmBiYgJbW1tyWLJY9/X1Qa3ecVyk7JpJTgDw9ttv\nS7j1zMyMQCe/+93vcOTIEbS1tYn5ks/nw/79+2E0GpHNZndhioQh/H6/2AIbDAahjjFajTsUYsYU\nOw0MDEClUmFqagpVVTuJUVVVOyEw8/PzSKVS2N7ehsPhkBt4dXVVRC7sMs1mM2pra/Hv//7vGB8f\n/8gL/NmzZ88Rj+V7rRTAsINmMVapVEIaIH2P1xa4X8jIk2cxY0FX+geRsaLRaFAoFBCLxVBRUSGi\nHeLYSsYGAOkw2ZHTyZPuiGTYAJBunE0VXyf/LQCBfZTUP4p55ufnBafngUKcmayjcrksQTpMYiOE\nyMmFOwzCWEp7YapD+XO57C0WiwiHw0gmk9i7d6/YgajVO1nQTqdT2CsUiWm1WoHVlDbKbOaIy/Nz\n3tDQIK+bkwynD+7EWBO4IyC7iZ8NXkMAwvjj15aWljA3N4c33njj4w3RrK2tSXISMeLu7m74/X5Y\nrVbB/1KpFKqrq3Hw4EEEAgHcunUL58+fF3+PK1euSKfkdrvxxhtviJqROB5PVb1ej5mZGVRXVyOZ\nTKKtrQ0+nw9zc3Pi6c4FrtIKlD7pLpcLXq8XMzMzwtknZYosleHhYajVavT29mJ0dFR8U1577TVk\ns1mMj48jGAwiHo+jsbFRxnGbzSYir+7ubng8HpTLZaEiHjp0SMZhem2wSAQCAZw9exYGg0G6wHA4\nDI/Hg2AwCIPBIHBRMBjE9evXZZfw3HPP4fz587IcovNldXU1WlpaEAgEMDY2hlOnTuH3v/89AGBs\nbEzsJVwuFw4fPgxgB2MltELmUVVVFRYXF9Hc3Cw00t7eXilOVqsV2WwWarUasVgMNpsNTU1NAiVx\nsU5sk9fT5/NJNzU7Owur1Srv91tvvYWDBw8+iI81LBbLroUmuz128Oy4aV9AFgW7V9ozk9rHokDj\nKRZ2qpyJAbOoADtFwWQySXfLblzJ1CEtk0WS0AELOOEiZdFkl0rIg58ZPthxKl8PsWUWeL1eL8VN\nycfna2IzxSWk0jKBoiMWeKXwi5YnarVa4BoWUC5LFxcXEQqFUF9fL9eHh20ul5PXSRUvDy9Ouj7v\nWwAAIABJREFUUYTJqOGgIpfCNb7f7OwJ65RKJRHqKQ8cJczGCYHIAj83nIboG0UixYd5PJACzwtb\nV1cn/t6VlZUwm81iCbq2tpOYtLq6ioWFBbS2tqKhoQGFQkFCKigU0uv16O/vR0NDg3SqZrNZ7GUD\ngQDGx8fR29srxZ9LOZfLJQsSnU6HTCaD6upqiaUrlUpiPez1etHd3S3xcaurq2KlwBs7Ho+LUISy\n789+9rOoqKhAd3c3GhoaMDc3h42NDbS1tYmAw+v1Ynt7G2NjY2hoaMDk5CQCgYCkJnFaOHjwIHQ6\nnVAE3W43Ll++jOXlZfGqaGxslJFOq9WiqakJDocDi4uLYn/scrkwMTGBvr4++P1+aLVaTE9Po6am\nBn/2Z3+G1tZW2O12bG5uIhaLwePxSArW6uoqotEo4vE4AoGAmIC1traio6NDKK1cLi0tLUGj0WBy\nchLXrl2TLp38+Xv37qG/vx82mw2FQkEM5RoaGlAsFnH27Fm5fgMDA8jlcuJzc/r0afH1aWxsxLvv\nvgun0/kgPtaw2WzQarViJ0AGBQDBh7msZKdPKjB3NCywer1eUreUC0UA4joJQJhS3HMAkA6dqWDK\ngsuOX6mQpOVybW2t+MIsLi5K56xcrDIIQwmH8LUxPISLSb4+qlIZBhMMBgWXZhFraGgQ91gWVhZN\n5eKUxZwGYcTg33+QsGsnDTQWi6Gurg59fX0AIHx8GoRRo8DXycUuDwruIUhSUNJeC4UCkskkFhcX\npWjTRHFlZUW+l9eB+8Ha2lq59gaDQQ4j5f6C7wGnD6/X+6E+kw8Eonn00UfPud1u3LlzR8KVlaIb\nUrz0ej2i0ShWV1dx8OBBpNNpiZ7r6emBWq1GNBqVEO5kMok7d+4glUrJKe9wOLBv3z5ZpvANb2tr\nQyqVEv64yWTC9vY2wuEwnE4nfD4fotEoksmkMHfq6uoQiUTw2muvweVyobGxEV1dXZiYmMDs7CzK\n5TIcDofwjZeXlxGLxWCxWBAOh3Hr1i309/djfX1drFQZW7i8vIwDBw7A7/fja1/7Gn7yk5/AbDaj\nVCrBbDYjHo8L9354eFgWdQ0NDejt7ZWJgP453BEoD0tg54ZaWFhAMpmUDqu9vR3hcBivv/46nn76\naeh0OkQiEUQiETzzzDMol8sYHh6WLjubzSIYDKKrqwsbGxswmUwiRnr55Zexvr4On8+Hy5cvi51v\nLBZDIpGA549+8jx89Xo9IpEIotGoYMg3b96ETqfD8ePHhduuVqvFysDn86G2thZ3794Vr56hoSH8\n/ve/x2c/+1n09fXhP/7jPz5yiOaLX/ziOXaYnPCURZk4K5kzhHCA+3mdVHty4cl/T6YLWRecMgnx\nUBSl0ewEiEQiEWg0Gng8HlGEcqmrFAgRP6fdtpIWWC6XdzF/OOXRw4WTAV8LYcj3++4o/W4YXs3w\nECWEs7y8LHu52tpa+Hw+wfK5n+D0ANw/3Eh/JDTCa03se2hoCBaLBV1dXaIBoLqYaUrs/ul+SQy/\nWCyKnQfVr4TK2AAqd3C8dsTp6W/F7p5sJR6ASiYUX0NVVZXAOdSFxONxtLe3w2Kx4Kc//ekH/mxr\n/hQf7A/7UKvVGBoaQn9/P+7duycwRU1NDVpaWuD3+wU3n5ycxBNPPIHXXntNXArv3LkjyzQu4mgZ\nyyJBT/fq6mrhuDc0NIiaM51Oo6mpCS0tLZiYmIBarRYPFZ/Ph9///veoqanBI488gkQigZs3bwpd\n6fOf/zw2NjaQSqUk2ODAgQOwWq0yglVW7iQXBQIBMeV69NFHMTMzA6PRCIPBgGKxCI1Gg1QqhWQy\nifX1dXR3d+PatWtiuNbe3o50Og2j0Yjq6mrcunULNpsNgUBAaI1U33Z2dmJ+fh7r6+tCD11YWMDs\n7CzW1tbg8/nE0TEUCqG7uxvlchk1NTUYGRnBwMAAampqdvmGv/vuu0Jho/FYJpORRCzuLUwmE4aH\nhxGJRPCVr3xFVMehUAjAfTzR5/MhHo/D7/cjl8uhtrYWra2tuH79unROHR0dqKurk6K/vLyM6upq\n9PX1YWlpCQAwNzeHgYEBjIyMIJPJIBgMYmVlBU6nE9evX38QH2sJv2DhIs7OIsRixrQjFk4AUpgA\niPJUqRpVsifYkRNeUbJr2NXSDyabzco+hLsAPh9qUGhUp3yupDKSA68sZPw7whoAxKufP0OptmV3\nzEKdz+cF/+bXGA3Iw5FTEHcs/B8A6ZqVIi1SP/nc+FwKhQJWV1fhcDhQV1cnnT2fP6cEUnXJZOLX\nWJT5OSaU9P5gESX+z+v8fpUxv8avE6rhzyGsRphqa2tLLEBIqSTt9IM+HkgH/w//8A/nlpaWYLFY\nZOSiDcC1a9ewf/9+6PV6XLhwAT6fD/X19ULPc7vdOHLkiIgVyuUyYrEY1tbW0NTUhEgkgvb2dqhU\nKhw+fBj5fF7EG4SFgJ1M06amJvGvcLlciMfjwtQwm81wOBy4cuUK8vk8YrEY+vr6UFlZiatXr4q0\nvqmpCfPz83C5XBIwotFocOvWLRH5UIXKpPTJyUkcOHBAwnyp+qQsuampCW63GxcuXMCf//mfo1Ao\noLq6WtS3tGOIRCLIZrP41Kc+JYISBlYHAgGk02kUi0WhohaLRYyOjmJlZUWoiXa7Hc8++yw8Hg86\nOjpgNptx+fJlABBoZWhoCHV1dQgGg7LIpHJYpVIhkUjgyJEj0rH7fD6hmPH1lEolpNNppNPpXe56\n9NfY2toSERm/l4EkHo8HDodD8Prl5WUxbdPr9fjxj38MrVaLp59+WgrHSy+99JF38M8///w5dobs\n4MrlsizoSH+kLYDy5ifsovQxWVlZEY8gwn2lUkm6fHLfgfuBzizOvDcI3XCBqDxIlEZ3/H1c3BJ+\nIZzA6YMFiAcJ4SayQugaqTQQ43JX6Y1fVVUlDRn1HXwdCwsL2NzchNlshsVikWJIJgsXsgAEdiIs\ntL29LVxyUnV9Ph+cTqdMmYRYCoWCQKSEQfmcOd3Sn8nv96NUup9wRliXKttSqSSumPSa53usDPt4\n/8HCvYZy6UyobmtrC1euXIHNZkNbW5scXB97Hjw7s5mZGTlpGTpx4sQJjI+PY2xsDJ2dndBoNLhx\n4wZee+01vPfeezLGURlnNBrR1dWF06dPY3NzJ+xDq9Xi9u3bmJiYkC7bZrNJFxGPx2E0GhEIBCTA\nIpvNiqiG1r75fF7k8QcOHMDMzAzy+Tx8Ph+y2SwaGhowMTEBk8kEjUaD8fFxzM7OQqVS4Stf+QrK\n5TKy2SxWV1fxxhtvyM3V29srTplUINI9cXV1FcPDw1CpVEilUrLgAnboWO3t7XC73WhtbUVfXx98\nPh9u3boFrVYLk8kkH8Lq6mosLCxIyAfH9L6+Psm1LRaLeOWVV/D1r38dn/rUp8QTqL+/H0ajET6f\nDyaTCT09PYhEIjh69CimpqawsbEBh8OB/v5+EecwcSuXy8k4yvcml8uhqalJFKeRSETwzJqaGsms\nDYfDooBNJpPCXlpb2wkiJ9d6aGgIzc3NyOfzGB4ehl6vx0MPPbRLWfkgHltbWxICThOv9fV1cRwl\nE4bFeHt7GwsLC0ilUtKEEJLg+2mxWADsdI7sUNmVkl7MZSrhEeLL5XJZ9hVc4PHBAsWdFdWlPASI\nt9MKgYcUcWTCN4ya5CTI4smJg9qPqqoqYU05HA6Ew2GBXEh1pZMr+evlchnBYFASm1j0iItzwcyp\niZOmVquF3+9HNBpFXV0dXC6X7NiULpRk8xQKBVRWVoq5F73aeYAx15aFOZFICDOJSmLl0lpp88Bd\nSH19vUxNLNQUmzHInovqyspKFAoFzMzMQK1WCxWZz+fDPB5IgU8kEnjiiSek+87n87Db7WhtbcXW\n1pYIkEqlErxer1gX0AAsn8+jq6sLdXV1mJycRDQalWABjUaD1tZWWXixo52YmMDa2hpu3Lgh/Fa1\nWg2v14uFhQVks1lcv34dNpsNer0ew8PDqKioQGdnJzY2NhAOh4XjvbW1JUwIrVYr5lhUe25ubopq\nll4xX/jCFzA+Pg6fzyc4W1VVFXK5HEZGRjA2NiYcfTosGo1G/OxnPxPDNbps3rx5E+l0Gq+88gqS\nySSMRiPu3r2LcDiMffv2wWAwIBqNwuv1ivUuBU/ECi0WC9RqNS5duoSuri7puCORiASX0H7hk5/8\nJOLxOH74wx/iqaeeQqlUwsmTJ7G0tCS7hFwuh/3796O+vh4DAwN47733cP78eaTTaQQCAcHsqbSl\nTzi9fQYGBqDT6XDixAkUi0U8/vjj2NraQm9vrxQDLhMtFgvu3LkjYe3Hjx8XVkMul4PJZHoQH2sA\nkI6dC1UKypTjOzs5AKIEZRFll1woFABgl8UvcXnCkCzi9PJhw6D0iGGHqBQukf1BdpJOp5Mln5Jt\nQ/iFmD+plkrKJxegZMIocXX+l4WYS1I2USxmSqEQYwx5SBHO4ASi5KXz35BWCECohxTwud1useWt\nqqoSFgwfrDPAfeYL7xMeisoFNf2w2JXz/eKkRcsFmgQqLZiVxAsWen6Nql/am2QyGTESBCDq4P8T\ndsE1NTWIxWLQ6XRiRHXixAmoVCpMTEzIeLm1tYXh4WEkEgmJYquvr5cLs7a2JhtzCoKKxaL4qAQC\nAXR2duLkyZPCVTUYDKisrMT09DQcDgdWV1cFStna2pL0lJWVFVy7dk0w85WVFYTDYWSzWVgsFhw4\ncACVlTu5puTrU0RRKpWEikXbW45qoVAIS0tLciDwZ9TX16Ojo0MOhf379+NrX/sahoaGMDIygtnZ\nWfh8PkxNTUkIBnFFr9cLjUaDqakpce5raWmB54/B32S0cJlbKBQwNDSES5cuwefzyc2i1WqRTqdF\ni0AP98nJSXzlK1/B/Pw8pqamUCqV8Ic//AGRSESWwLOzs4jH4wKxHDt2DD6fDy6XC62trQgGg1hY\nWBCfH0ISsVgMzc3NwgC5ePGiGMJpNBq8/vrr2LNnD9bWduL5bty4AY/Hg3g8jr/7u79DdXU1Ojo6\nUFm5k9VaU1OzywHwo3ywCLKoEYpio8HCRC45iyJ3Niz8W1tbwiyjsyqLLuGPyspKmRw52vO+oD0u\nFZ8ApFvX6/WiYSB8qOzAWaR0Op1009vb22L/QQYLDbpYsGg9zOmFBxyLK/F0g8EAj8eDiooKgfmU\nHH0ecgw9qa+vR7lcFmYafw6pi1TYkk1HTU0qlRJoBoAIoQihcFrq6+uD1+sVn6qtrS0sLS0JNZUs\nGKPRKL+7qalJDiGSKcj+4iGqVL9SPMYH3yul3w93HFqtFslkEvfu3QMA9Pb2yl6ACtgP83ggGPxX\nv/rVc9lsFna7HQsLC3jssccQi8XkNOzs7MTm5ibsdjvS6TSWl5eFAcAtuEq1E4jR29srWP7+/ftR\nKBTg9XqxvLws7JW7d+9KkWOX98QTT0gW6JUrV5DL5fDUU0+Jopb+FFxwkrlBrI4wA+lmDDFxuVxY\nWlpCd3c3Jicn0dnZKbxfZpCazWYRaJBlsLq6isHBQVRWVqK5uRmDg4NobGzE+fPn8eyzz8qChWEh\noVAIo6Oj0Ol0aG9vF+/89vZ2ZDIZ3LlzB1tbOzGFGo0GDocDwWAQ2WxWgrgdDgeeeOIJrKysCE3P\nYrEgmUzCZDJJZuvW1pb48vzmN7/B/v37JWqNNxjDVEZHR/H444+jXC7DbDbj5ZdfhsViQWdnp7A9\nwuEwXC4XotGo2DWT+kq2hd1ulxv97bffFnUs6WU3btxAX18fTp06hUgkglQqJbsGjUbzoZgGf6rH\nF7/4xXMajUYUzKRMMtCGxVEp0+fYTo0DnQSVyz5Oe8rQi62tLaRSKaFPssskPDcyMoJgMIhcLid2\n2swoValUu1gcPHAI0bCr5/eySJN7z86bFE52t1Ta8pBgV6sMt+bknEgkEAqFoFarxR2VB8Xc3ByW\nl5fR0dEhDRTFR+/fTVCFS+3E9PQ0UqkU+vv7RQjJaYBTlHL64Ovk8t5ms8lr48HCCWR9fV0SnwDI\ngUPoh/AR4TJOZ4TOlOaKnEyYkNXQ0CCRl3Nzc2hqahKVO68Z36ef/exnH28MvrKyEolEAo2Njejv\n70cwGMTGxgYuXryIlpYWpFIpGYU6Ozvh8XjkdF1eXhbVqcfjEfJ/JpPB1NQUstksYrEYtFqtHAws\n2OTak5NttVrx6quv4vjx4yJ4CAaDCAaDKJfLcLvdOHnypIRfB4NB1NXVwWq1ijuk0+mE2+1GIBCA\ny+VCoVCAx+OR3NhsNiv4P9kzfr9fWANcYJGJYjQaRTlqMpnETyebzcJqtWJxcRH9/f34xCc+gYce\negipVEoYFZlMBr/73e/gdruxd+9e+P1+aDQaiTckI+FHP/qRBJovLi7CYrGgpaUFGxsbOHv2LBoa\nGpDJZNDZ2YlEIoGamhpcv34dnZ2dCAaDsFgsaGpqwvLysgjIzp8/j5aWFqytrWFiYkKw3y996UvQ\n6XSYnJzE8vIyVCoVrFYrbt++jeXlZTz00EOIxWKor6+XKYy2z9lsFs3NzWhra5NUqn379kmsYnd3\nt3j6k9pmMBhw9+7dB/GxFnsLTnGcSniDs5hTrMaOkNAfO2glHZHMIsIphA84LSgFTkqBHqPrNjc3\nsbi4KDxxyvr5X6U1LycJdorseHl4EAIizswumOwX0hSVQSPshCmk4iHFZC+6ZSpZJvx5nIIovKJV\nAmEPHlg0G2MEaGVlJRobGwW6YffM18m/p+cMr2M+n5drycmCtFfCXVxqc+Li8pyvjQtXNn7U3Sh/\nJ3nxfJD+qtfrBf6hgSEhL14Twkkf9PFACjzfyGvXriEQCGB5eRljY2Ow2WwiOgCAvr4+oQUxJs/t\ndmNsbAwPPfSQiJKCwaDQiSg6ojcExzwyDxgkQcnx448/jueeew5HjhzB4uIilpeX0dnZifr6ely9\nehWjo6NIp9NYWFjAo48+Co/HI6c9XS1LpRJ+/vOfw263Cx1Q+QaHQiFMTk5ibW0N9fX10Gq1Mt6O\nj48jHo+jp6cHXq8X8/PzcDgcMlKfPn0a77zzDo4dO4ZgMAi9Xo9AIIBIJILBwUHht9N3/syZM7h7\n9y62trbw2GOPyQK3VNpxyqSnzPPPP4++vj5Z3GUyGRw4cACpVAqpVAputxsazY7F78TEhPz58OHD\nyOVymJ2d3RW4wgmBHd2hQ4eEo22320WxHI1GMT8/jyeffBIajUYW11xOb23tWDD39vbi3r17CIfD\nwplnZ/rWW2/h9OnTaG9vlxte2fGxw3oQj9XVVYETiCcDEOvZysqdVCQqj7lUJRRByI5h4xzj8/m8\naETITa+rq5OpgMyR9fV1pNNpeL1enD59Gt3d3UKXZBe4vr6O5eXlXRa13BUxQQmA2F9w2cdFJrFi\nHmjkwZNVxfubhw2jH5UK2u7ubqjVakln4gHFe4YFjUt23rPFYlEwdFIs6S5KUsHAwIAURkJRpP4C\nu1WmhMBYRNkwsQZxL7GxsYF8Pi+aHX4N2Fkkc1FKcRmn/6WlJeHO0yOK9FPalnCCHx8fRyAQkGxp\nTkFKS47/ExDNl7/85XMcr8LhMLq7u2Uk9Xg8AHbMq+LxuHjSNDY2ivtiuVwWjJwba6PRiHJ5xw6X\nZkxtbW0iqFC652WzWZjNZoTDYTzxxBOYn59HIBDApUuX8MQTTyCXy+H69ev4whe+AOA+L5keGMPD\nw3A6nRgfH4fb7d7VybDTINdZr9eLbfDY2BhKpRLsdrvsIbq7u1FbW4vm5mbJWi0UCiJyYtD0+Pg4\n+vv7sbGxAc8fg0C4HyAW29zcDKPRKJqBmpoagQcsFgteeOEFvPzyy/je976HqakpMUDy+/2w2+1y\ncNTW1iIWi8FkMsmI7nA4UCgUEPxjMpbT6URtbS0GBweRTqfx5JNPYnh4GK+++iq+/vWvI5/PQ6VS\noVgsIhAIoK+vD6Ojo9izZw+0Wi0uX74sfjsej0cYNmq1WoRXLEYHDhxAJBJBW1sbvvvd78Jut+Po\n0aO4du0aTp48icXFRRmBx8fHodVq8ctf/vIjh2i+9KUvnSMEQ5yV/Gxi2SyS77co4HKUni7snNmt\nciHNG59+POzkuUxlYWxsbJR7h4ZlFN3U1tbCarUK04MdKIsOCx5fB7t6srz43LkXUGaa8jmoVCr5\nmVwg8zDj3iAcDiMej6O1tVVi+1ZXV3H37l2sra2hp6dHICfCoZwICCNVVVUhFApJPGVnZyeA+7F3\nxNbpIklTMf6PE8zy8jKy2Sy0Wi1sNptw7AlLRSIRoWJTMc7aQAiKz1GpqDWbzXJ/KuErduOMGIxG\noxgfH4fRaERPT48cXIR32bBub29//GmShUIBLS0taGhogMPhwK1bt1BRUQGTyYR4PI6xsTGhgzFA\nOhqNihMiALjdbrS3t+PkyZNob28X/nptbS2OHj2K2tpazMzMYHBwEC+99BIikYgsE0+ePIl0Og2P\nx4MrV67Iqe/1epFIJKBWq9HX1ycMlUgkInS1ZDKJjo4OFAoF9PT04OLFi4Jdm81m6PV62O12ZLNZ\nhEIhbG1tCQc3n8/D4XCgq6tLRnC6XL7xxhtIp9Ow2+1obm4WZorVasXExATm5+dhsVjQ3d2N27dv\nw2q1imhpYGAA1dXV8Pl8GBwcxJNPPikL4VKphIGBAWQyGbzzzjvYt2+fWKFymuHvam1txebmTtQa\nmTUMKHjrrbdQKBRgNBqRy+WwsLCA5eVl+Hw+7Nu3D6lUCnq9HjabDVevXhV2TTwel+6KUwAAsX/O\nZrOyWyA0x8Sm7u5ucd8zGo24ePEiTp8+ja9+9aswGo3o7OzE4OAgtFotBgYGMDs7K13jg3go4Q5S\ncpVeK8RyWXT5XDm2c+FJeIXFTa1WS3HnQcHipQymoDMi4UjgvkshnwMPFdJU+SCsxB0HO3bqFFiY\nCcNwUckDSkn/JATBJTOAXV4yhIPodMlFMIujUonK76cfOrtpnU4nz5+W0na7XQ4/7hMACMWSuwtC\nZUp4i0El3J2we1Z67PBn8XcAkJ/H95Z0ZCpW+ZrZYHI6IfxGOI0NFY32lAwnpeaAzKYP+nggBb61\ntRWtra1YWVmBXq+XNzqfz2NmZgZVVVWYnp6WJQ8FLVzU0XGuo6MDfr8fL774onCC2TF2dnaKUs5o\nNMLr9cLtdmPPnj14++230d7ejpmZGezfvx/T09OoqqrCsWPHRHTgcrlw5coVjI2NYf/+/VCpVLIL\ncDqdcDqduHr1Knp7e8V8q7e3F2azGaOjo6isrMSePXuwZ88e5HI57NmzR4p9KBTC+vq6cH1JkTKZ\nTHLAOJ1OaDQaJBIJWWDSyrejowNdXV1YWVmB3W7H3NwcXC4XJicnRaBhNBqRz+fR1taG69ev4yc/\n+Qn+6q/+Ct/85jcRj8exsbGBp556SqThq6urGBsbw8DAAJxOp2CmKysrCAQC8Hq9MJlMmJqaQjqd\nxtTUFCKRCJqbm+FyuZDL5RCPx4UbzGtuNpuxb98+6PV6NDY24re//S22t7fF4nhqagrj4+Ow2Www\nm80YHBwUmGB5eVksIQqFAq5cuYITJ07gypUrWFxcRDKZRCaT2cUvVkrZP+qHxWIRpopKpdpl+cub\nmoWWHijlclmCNpQdJQ9CcsVZxNnlZjIZhMNhoQaTAcWCzhAZFlsaZHHRGQ6HUSgU5AAi7Y9FkJ9L\nTsUUpgE7RY4wCYtwdXW1HCzcMXAq579RLjjX1tZgtVpRV1cnhAAumclDJxuF3bherxczQbJYxsbG\nsLi4CI/HI8Z0pKXyc0FBXVNTkxRMAAK7cAJiOhyXuOTJZ7NZrKysAIAUXSVdlXYjhObYaa+urgoE\nlc/nd+0ylIrdUCiEXC6Hvr4+uFyuXT77ZNfweVKg+EEfD6TA63Q6DA8Py0mYzWbxxhtviGWB2+1G\nW1sbEomE5Hbq9XqYTCakUil0dXWhpqZGwpvPnDmDO3fuQK/Xo7a2FgaDAZOTkxLaXVdXhxs3biAQ\nCGBqago2mw3RaFRSpGjIxGXd1NQUtrZ2oum4YQ8Gg/L8Y7EYVlZW8OSTT8JgMEixCgaDGB0dRTab\nRTqdxvb2Ni5evIienh689957yOfzuHjxonw4KDDZ3NzEyZMnpfDZ7Xa8+OKLqKiowMDAAL7xjW8g\nGo1ifX0d8/PzyGazMBqN8Hg8+OUvf4lisYhYLCbUwq2tLcFx7927JwHhe/fuRVdXl0w6oVAI5XIZ\nnZ2dqK2tRW9vLxYWFkSR19bWJqk3hUIB0WgULpcLv/rVr1BXVyf0R+a9Xr9+HV6vVzxmyPJhN7m6\nugqn0ymWBnxvqAoulUrYs2cPurq6kM/nxZHyBz/4Af7t3/4NzzzzjCQ+cXxmJ8oov/r6etjt9gfx\nsRa+OLnVvNkJuxBqIK5Oi1leHyooKWoC7vOnWai4a+JifXp6GoFAANlsVqjALMyECVhQiQVTZk/G\nB5eQVGMSVqqtrd1lhkYvJzZeFNaxIPHw4sKUFEIWfRZtkgtcLpeExORyOdkrcGrjPoPW0Ly+ZLpF\nIhHEYjEcPHgQDz/8sDCUuB8gv591Rsnv5z3P56/X67G2toZEIiEFXmkXsb6+vmvZ+/7FLZk00Wj0\n/zPb4/vJPRIPnKqqKty9exezs7NC1UylUrI75HUkfh+LxT60VcEDKfBLS0tisTs6OgqNRoPTp08j\nn8+jvb0dTqcTBoMBJpMJfr9fIAVS4JaWlrC+vi586nw+j0cffVTGJb/fD7PZDKfTuSuMent7G8lk\nEg0NDWhoaMD4+Dg0Gg3sdjumpqbg8/lw9+5dVFRUIBAIiATf4XDAYrHg0qVL8jzI1TabzWJSNDU1\nBYPBILYHwE7nwtzQs2fPYt++fQiHw1KAmWo/OjoqUXXFYhFOpxMNDQ1CnaQ5WkNDg3hmqNVqPPzw\nw7J8euSRRxCJRORGzGQySCQSyOVyOHPmDGpqavDqq6/C4/HAYrEgm81KQeYhRUZLIBAHfNJaAAAg\nAElEQVRAJpNBqVRCMpnEoUOHsH//fhw9ehQejwc2mw0tLS2S7drc3Iz29nZMTU2J/w/x/bm5OZTL\nZczPz2P//v3iud/b2wun04nFxcVdsMYrr7wCl8slJmuTk5M4fvw4Hn74YSSTSenu6d5nMBiQy+XQ\n0NCAGzdu4Nq1aw/iYy2qTWVRV3K86d7IgsCwDKVVgVIoxKLMBSQpf6lUSqCt+fl5zM3NCdbMosCC\nCkA0GFyIUmnMjppFiEWF9D+ydlisAchhQ7okpwONRiOQHhlDLEx8LjRCW1paQkVFBZqamtDb2ytm\ndWq1WhbPhFPZLReLxV0JS5lMBouLizCZTLDb7cI+IqRDJg+hE05UwG5nT+5H1Gq1eNXQLG1zc1MO\nKF5LHnAUWXHyAu4Hhr+fjknSB98HTnJczFK5q7Qc5t4C2IG08/k8UqmUZEx/0McDWbL+0z/907lQ\nKIQjR47IQiMajcLpdOLKlSviBe71eiWYOpfLyZtIxev8/DyCwSBcLheqqnYCtimmWVhYgM1mg9Vq\nFThhbW0nWJqc++PHj2NwcBB79+7dJdTo6uqC2+3GvXv3UF1djVwuJ2InWgswZYg8/bGxMbS0tMgi\nhzin0WjE4uIi+vr6MDU1hXg8DovFIvLy2tpa3Lp1C83NzWhqakI8HkdV1U5m509/+lM88sgjGBgY\nwOc//3n8/d//Pb7xjW+gra0N5XIZ58+fx9TUFL797W+jXC4jEAjI9aTt6wsvvIAjR47s2uwXi0VM\nTk7i5MmT0Ol0uHbtmkjFGcDN75udnZUdRzgchlqtxuXLl1FRsROGzuXxc889h7GxMeTzebS2tuL0\n6dMIBoM4c+aMiD3UajWKxaIcmslkElNTUyLISiaTKJVKsNlsmJmZwerqKl5//XV84xvfwP79+3Hj\nxg309PRge3tbrIXVajUuXLiAGzduoFAo4PLly2htbcUf/vCHB7JkZTFR5gooF5dkrjDoRekyyGln\ne3sbqVRKfNGJezPwhcWDDqzMyVV61HBKq6+v3yWnZzdPKI0MHHbl6XRaTNOI81MgqNVqkcvlxIqA\nOzH+mbADOe18fYQ9qUEJBAJIpVI4fPgwent7JUegvb0ddXV1GB0dRT6fx8GDB+Hz+aRLpjoU2Mkl\nWFlZQUdHh4i3GEJO5hwnUdIoyfShGKtQKKC+vl448dzzNTc3w2w2i+mXw+FAPB4XESIFYDyMmHal\n1WphtVqh0+mQTqdlYgDu586Svl0oFDA5OQmv14uuri6B6giFLSwsIBaLYXZ2Vkgg6XQaTqcTv/rV\nrz7eiU40Zdre3pYumZSiU6dOiT90KBSSMI6mpibk83nJT2TI8/z8vHSdLIwGgwEzMzOoqanBL3/5\nS6ytraGxsREDAwNoampCIBCAx+ORcZd0sHv37qGrq0sUalzU8s2srKwULrpKpcL09DQ2Nzdl9FKr\nd9KT2tvbxTOHUnVSz86cOSN2xQaDAdPT03j44YfFC8Nut4uNQEVFBS5cuICmpiY0NzfjwoUL+NSn\nPoVwOAydTiemZ5/+9Kela7RYLIIp/su//Av+8i//EgDkdXi9XhFbkWZJD5BIJCLLHzJXjh49KvTG\nTCYDn8+HN998U262t956C48++iguX74Mv9+PQCCAU6dOSdBHPB5HNpvF0NAQ2tvbMTo6ijt37khn\ntLGxgZWVFZhMJnn/KJ56/fXXYTAYYLPZxGJ5e3sbra2tyGQyePvtt4VB4XQ68eKLL6K1tRUqlQrX\nr1//yAv8M888c05peMVMX61WK0HaxOdZVLhcJfOEAiTg/vhP6TsphCaTCRsbO9F93GF5PB4pssoF\nL11PlcZm9FkB7kfmvR/aofkfgF2/n79DKebZ2tqCyWSSQ8BoNIr5WH19vUwEarUaVqsVBoMBw8PD\nqKurQ21tLTY2NjA5OQmVSgWn04nbt29jZWUFAwMDEokJQF7b9PQ01Oqd4Pu6ujq5dkrlLFlI7OTZ\n2ZNtxWvAaZB6GZI1CP1xZ8HdoN1uF7hHo9GIXw/pwTzgeA2J0xN2UavVYo9dVVWF9vZ2gakNBgPS\n6TRGR0cxNTWFUCiEdDqNVColezKr1YrXX3/9482iyeVyu0Ku6Rl+9OhR4fguLS2JSZPP55POubW1\nFaVSSXBHu90On88nisiJiQmMjIygqqoKbrcbQ0NDslRKJpPizTI7OyvUsrq6OjQ3N2PPnj1CsWRX\n1NjYKOMohVb0gWcnffv2bUxPT6OhoQGRSATXr1+Hz+dDX1+ffGB4AGUyGfG9j0ajMgU0Njaip6cH\nALCwsICFhQUcPHhQYs4ymQy8Xi++//3vC8VzZGQEFotFvOjZedPmt6enB/X19XA6nTh+/DjS6TQu\nXrwo2aqEacLhsOwvAoEA1tbWEAwGhZKaTCaxsLAg7BTSwhYXF9HQ0ACTyQSPxyNOjuwkM5mMeLg3\nNjaiWCzC6/Xi0KFDOHTokHh76HS6XTxtXu+lpSU888wzUrQZEJJMJvG3f/u3CIfDGB0dFTog4xKV\nsvCP8sHFHgsghTLAfWGMWq3epRLleE8ohPx0Fibi9iQREGemcpO2APz5/P/ADpzCBCXgfhfJJR87\nRgBS0Pk1APK54xKQOQc8lDiRkArJpaYyvo+HFpkz1Fasrq5ifn4eyWQS29vbSKfTiEQisp8g7Elj\nNS5h19fXsbCwAJfLhebmZplwUqkU0um0PHc+F+4a6HVPOIyHLmmTm5ubMJlMMJlMspfg5KVcdgKQ\na8TfxYXy+z2q+F4raayMUywWi3C5XAAgJnn0vLp37540M4TcOAn9nzAbA3aYNExhomnVtWvXUCwW\n0dPTI4EP0WhU1G4Oh0M6k/379yMej6OmpkYEQul0Wmx+Dx06hPHxcTz77LPC9aUrm8/nE0iCy1U6\n97ndbmxsbMDlciEYDKK5uVk4xaSxKXNaycu9desWEomEmGHdvHkTt2/fhtvtli6rra0NsVgMe/bs\nQTgcFoYPcehbt24hFAohEAhgYmJCFJlVVVVIJBL41re+JaIpfsij0SgqKyvFf12lUuHtt9/GCy+8\ngOeff144/B6PB1NTU/D7/fjf//1fhEIh2Gw2jI+Pi60CN/kGgwGjo6Mol8t44YUXsLq6Co/Hg+bm\nZszPz+P06dMoFAo4c+YMJiYmBKvf3t6GxWLB/Pw8dDodFhcXxc2SFEoW8PX1ddhsNthsNsTjcdhs\nNly5cgWBQADxeFymj/X1dYyNjSGTyeDMmTP4wQ9+gO9973uoqakRVpTdbkdFRQU+97nP4b/+678e\nWGQfcXVCdIRGKLRhh0ufIhrLbW9v7zIDI24PQPBmdoOVlZWIRCICpTCAXekuSfm+kgPPXQ+w05Hz\n+ZDJRZiB9EFyx+PxOEKhkGDZShiEmDPdTkmZpJqUi0olF55e8Fw2bm5uClWSXSvhmKWlJbFjAHYy\nAMbGxkQ3wuLMCXx4eBiLi4sAIAEnfD1Kdk8+n0cwGMTdu3eFvKHT6WCxWGC32+U18H6mY2epVBJL\nj2KxKPm1nGJ4CHHJTj8hYKepTaVSCIVCKBQKcDgcAk2yhrz77rsYGhqSe1Gv18NiscBms+HIkSP4\n+te/LrnJH/TxQAp8sVhEoVDAnTt30NvbC5VKJd4v9Jg5duwYpqam5DRsbGzEvn37hK86ODiIxx9/\nHLFYDPPz83jsscfE2MlgMODy5cvQarW4e/euJDf98z//M1ZXV5FIJLC+vhMwTH+YXC6HGzduYG5u\nDnq9Hnfu3JHu4r333kMqlcLBgweFvULbUJfLhSNHjqC3txcDAwOCa1ZWVsLlcmFubg4LCwuYnJzE\n0tISqqurRe22trYmMMPS0hJMJhOqq6vx8MMP45lnnhEXTarx5ubmkMlk8MILL8Dn84msX6VSSdLV\nyy+/jJs3b+L5559HJpPB9PQ0dDod7t27h97eXjz11FP4xCc+IZ1Kb2+vMG+sVqtACW1tbaJ6VS41\na2pqcOrUKXR1dSESieDZZ5+VNCw+vwMHDiCdTmPv3r3QarUScTg2Ngar1Yq7d+9KZ8mF24ULF+D1\nerF37168+OKL+MUvfoFEIoGZmRm0tLTAZrNhamoKAKQxOH/+vNhDO51OfOYzn5EJ7kE8otGo+J7w\nvWQxZaHlVEQPE/LMTSYTampqpPhT70HceH19HclkEoODgwgEAgiHw4Llzs/PY3Z2ViDHtbU15HI5\nLC8vCzygNMLigpV+6ISUSDElE4bUPipvlZ44FACxo6cJ4NbWlmDiSnsEHnxutxs+n0/8/Mm4Ym4v\nnx+7Wiap5fN5DA4OIp/PY2BgQPIgeCg5HA709PTIQcaFLQB5bRUVO9kPnH50Op2kU+l0OjidTrhc\nLim4JpNJFswUW9I+gA0NfwZ5/YSeeciWSjuBNRqNBul0GnNzc+jt7RXPKH4uuJAGICrm7e1tiRk8\nevQoEokExsfHP9Rn8oFBNNyis1Oh6o3FZWRkRMYknU4nnOfx8XHo9Xp0dXXJUpHOkSygW1tbePfd\nd5FKpYStQsyOW2jCDoy2o1dMX1+f0Meo9nvkkUegUqnw8ssvQ61WC8f42LFjWFxchN/vl1Qho9GI\njY0N+Hw+VFVVobW1VUJzmVTEhJb+/n6cPXtW8D9mqQL3vd/1ej1aWlpkBLdYLLKUKpV2MmAptOLI\n+fTTT+Oxxx6TJVc0GgUAHD16FMViES0tLWKE1tzcjFAoJFNOLBZDV1cXfD4fRkZGcPjwYTz88MPo\n7u6WhZBGo0EwGMTMzAwcDgccDgcSiQSWl5dx7NgxzM7OoqenB+fPn0csFsPCwoKofJnC5XA4JHOW\nP6OmpgaJRAI6nQ7BYFAcE7PZLDQaDY4cOQKtVot4PC5LwFQqhZGREbS3tzOqTyIfP+oH2RdKYyiO\n9ywCLNgshkqBECmRLBBKyT4pjCz8/B1c8rFLzmazSCQSKBQKsksiL1xZcDgNKJ8bx39i8vSXURpo\nsSMFIAtbJS2SnipkpbCw0lMGwC5fd14zu92OhoYGxONxwbSV3i/z8/Oorq6Gy+USVg67d05FNptN\nIKJyuSxQonKa4WRSVVWFxsZGOexYXAmZkU3EuD1eF9YXHiBKKipwX1hGyJR7jY2NDaH91tbWyiHG\nz0tlZSUsFguMRqPYOnAKaW5uhsFgwK1bt+Re/qCPB7JkfeKJJ845nU7Y7XYRAdAxLpPJYN++fbh8\n+TL6+/uhUqnE/yEUCqGlpUUSlojBE38rFouYn5+XCLOxsTGxJiC1jN3r22+/LbYBHMMY3cWRiyEc\n7Eg8Ho+wPC5fvizc3aGhIbhcLlkc6fV6pNNpqNVq5PN5hMNhsTGuqqpCX1+fxP85HA64XC5UVu7E\n63G05b/9yU9+ItNMXV0dFhcX8cILL+Ds2bOoqqrC8ePH0draiosXL+LnP/85GhoacPjwYbmJGZ79\n4osvSofCkIcf/vCHcqARF+aBUV1djVdffRU+n09YFb29vXjzzTehUqnQ3t6OVColsXsGgwGxWAwT\nExP48pe/jF//+tcichoZGcH+/fulmExOTooVbj6fF2rp1atXMT8/j4GBAaHI1dTUyDUntZJRjK2t\nrejp6cGePXtQX1+P69ev4/r163jnnXewubn5kS9Zz5w5c669vV2KBos19zdKWwLCDiwohDL4dxqN\nRggAbHSA+/srQjLEqAcGBlBVVYWlpSUwLY0QBYss8Xp24ISUuAjkAcxDSBkYzQaDrw3YOWS4MyME\nQjhIiWdTqMREr2Qyidu3bws7iLnH/PxQpdrZ2YlUKiUBQKdOnUJnZ6csornTImOIlgCcPGtqamRy\n4G5je3tbfJssFosUXDJ8KioqxGuKpmU6nQ5TU1NwOBwwGAzIZDKyzKXSG8AuCwp2/awtZPJ5vV7Y\nbLZdUxy7d3btvL7UBHEx++6776JYLGJ8fPzjzaL57ne/e46B1pTqk3Gyb98+zM/PC2xisVjER4Kq\nPQDweDwStaVWq9HT0yP89c3NTdy5c0cc5hj7RkVaqVTC8ePHcenSJTz55JNIJpNwu92yRPV4PJie\nnpYpY25uDgAEEjEYDFCpVOjr68Pg4CA6OzsRj8fx6U9/Gmq1WgK0mXy0tLQEo9EoISQUWB08eFBE\nUaFQSOyLy+Uy3n33XYTDYUxOTmJqagoulwvvvfcejEYjnnrqKbzyyisAdpZzN27cwB/+8AdUVlbC\n6/XizTffRC6XExn06Ogo+vv70dzcDJVKhcHBQbS3t+Ozn/0sbt++LUpaRg9ywfP/qHvP2EjP82r4\nsHNZZobTOIVT2Id1C5dL7lJb1S1Ltppjw46RwHEQRMkPI0BckCCKYQQI8ic2kjiIHdtxFFuy5Cqv\nVtJqpRW93M66JIdlllM4jdM5wyGHZcj3B3Uuz+b7Y31voM37AIIte3fKM/dz3dd9rlMaGhqgUCiw\nurqKoaEh3Lx5E3q9Hl1dXfLnh4aGsLi4CKvViuHhYdTU1ODkyZNSLKLRKHp6erC9vQ2v1wuDwSBz\nEnrcUBS1sbEhCueBgQHxFwGAixcv4tKlSyguLkZPTw+eeeYZ3LhxAzMzM6irq0M4HMbS0pIwrrxe\n70de4J988skXGxoaRCHJYzp56WR2lJeXS1fN4spix46ONgT0N4lGo1hfXxezscKhKAexhCcBSHAN\nWSyFzBpy1wEIPs1ZAWGYZDIpLBS9Xi/MJm4OwG9dMvmahJZ4Yk6lUmKJwdCXQCAAr9d7z+xgdXVV\n4iFXV1eRTqelYL///vu4e/eu0Ac9Ho/MI0irJR6/uroqQqhCbJwMFp6US0pKBGopLS2Ve0dnStaZ\nyspKSSJbWFiA2WyWZo8XkYd8Pi9ECrLueJ8WFhZE5MffhxtvJBKBz+eDy+USllFVVZWkmx04cADh\ncBizs7NipjYxMfG/m0XjdDphNptl96N6sr29HZcvX8bi4iKmpqYErmE3Mjg4KEcY4ujNzc3o7OyU\n7sDpdGJxcRH5fB6BQEAc3iKRCOwfJMzPzc0hGo0KL5uvPzMzI1Lhrq4utLS0oLq6GiaTSTpNxntV\nVVUhGo2iqakJJpMJLS0tGB8fx+LiIlZWVsTT+urVq7JJTU1NobS0FJcuXYJWq0U6ncb8/Dzm5+el\n26NCF9iHaWiVS3obWQRkBdFv3m63o7OzUywd6FtfUlKChYUFoZX6/X709PQglUrh9ddfl4XZ0NAg\nBd1isWBqago6nU6GxLOzsxKhODk5CYvFgubmZjFGI39er9cL22JlZUVCw2meVlxcjEAggGAwiJKS\nEoyOjmJvbw+zs7Po6elBc3MzDhw4gLfffhs7OzvQ6/UIhUKyUXR3d8NgMODy5cvwer1iczExMSFw\nxf1i0ZAZw2LNzp0QCyECCmEKze/W1takQHLmUmgbQCdD+gvxuxICCofDAkfwdQsl9YUpT4W4MiEL\n2hbw2traQl1dHZRKpVgf0yyMXTxnMzQ9o4cLzcfIiCGWrlKpxBqZGx+hKqVSKc8hKZk8lXOQS9vu\nwoi7wu/BgTGVomTjcC5WiMmTkUQ/GDKeaK5WSDNl58/Bcm1trWwK1C4UQmsAhE6aSqUQDodRVVV1\nDyQEQJgzVBcTbibtGoCEtvDkR+bO73rdlw7+hRdeeBEALBaLiA34A9GLggEXiUQCtbW10q2za6Dv\nBKfV3IEphCktLYXVasXhw4dRWlqKU6dOwefzIZlM4qtf/Sri8TgaGxvFtpQB1mazGdFoFBaLBYlE\nAi0tLSKeonLu+vXraGpqQiqVQlNTE7xerzB0mpqaRKpcXl6OgYEBcZ7s7u4WH+zJyUkEg0FotVp0\nd3eLPH9jYwMtLS04cOCAUC5VKpUkOE1NTUlwdn19PS5cuIDLly+L+IsdFIU2+fy+r73ZbJYYs+3t\nbYRCIXR1dQlcRJpaVVWVLEpi/8Rhl5eXsbm5CY1GA4VCge9///vY3NxEb28vgsEghoeHYbPZ0NjY\niJWVFTz00EMyrLtz5w6qq6slLCSbzYqYhOphnU6H6elprK6uyj2gUyR/73A4jPb2drGbGBkZweOP\nPy5JVhyieTyej7yDf/jhh1+0Wq3SERfmeBaqV+kRTtMsFuRCST07bh75OY9Qq9ViSKfVaqHT6VBf\nXw+tVoujR49CoVBI3i9FN8TxicNzEEoMmdkEFGXxpMFwaeLcxLIBCN+dtEyVSiUFn/AgjfcodOJF\nAd3a2prcGwqngsGgsNXIA+fmwOJKBS3pxxUVFeJVk06nsbm5KRx7wij0riEFlacMwkcABPfn4JoZ\nA1x3DNUhrEMP+UI4hhtaRUUFfD6f8PspxgQgqtVCvyIK1VgHvV4vcrmc1Bk2AAqFAuPj47/z2i79\nn1zgv+tFSW5Z2X7wx87ODsxms4Tbkh/c2tqKsbExBINBHDp0SDqIGzduCOZbUlICn88Hh8Mh/O6B\ngQFZULFYDI2NjYIL0riKsu3vfOc76OzshNlslq66cLg0PT0tfuNlZfuBIQ888AD29vawvLwsfNpf\n/OIXGBgYkM9NT5F33nkHJpMJiURCKJgA8LGPfUy8ntnJOBwO8axpbm6W4W9nZycWFxeRyWTEn12r\n1UpS1eDgIGw2mxiUud1uGYYqFArMz88LTkkxSFtbG3Z3d8WCubu7G6+88op4ddMWgGEpfr8fq6ur\naG5uBrD/kFqtVqTTaSwtLaGtre0eP+329na4XC6YTCacPn0ar732GiwWC2ZmZuDxeGSA/d577yES\nieCxxx5DZ2cntFotvvGNb8BoNGJnZ0ecRxcWFtDa2gqlUonJyUmBdj5Q9iGfz4uz5o9//OP7sayF\nz01R3N7e3j0B2SyGHHSSPkoM97/nsFKpW15eDoPBIGuYgz/SGPf29iRMJpfLQavVIpvNwu/3o6Wl\n5R7ePU+txJvZgRZ2wBwG0tOFzowUXQH7vkKxWEwgHkJP5GqzQyZMRWUrTw/0lwIgjdr6+jpKS0vF\nj4X3gqcRdrHszPmf7GppX8JTEJ/NtbU1uN1uVFZWQqPRSGYEB6kcmvLzlJeXC6e+q6tLLERYjLe3\nt0VvQpiNOp29vT2x2Z6ensb29jb6+vqg0WgQjUYxMzOD5uZmiaCkkSJPC7xfCoUCmUwG0WhUYN3G\nxsYP7ZR6XyCaaDQqeGlbWxsaGxsRCATw05/+VLxiqOjk7h0KhRAIBBCJRNDY2Cj0poMHD97jPzE/\nPy+8dR4NS0tLcfHiRWxvb8vRv76+Hk1NTfB8kCbV0tKC1tZW6HQ6tLe3o7KyEoFAADU1NbBYLOjo\n6JBwj0QigdXVVZnaE+OmypWY/fz8PEpLS/HLX/5SMLhkMonBwUGsr6+jvLxcIvXm5uaQz+dx+vRp\nsR0mZpjJZCQ3lt3t+vq6BIMQ14xGowgGgzhy5AicTidu374tx8/Ozk7U1dWhublZzNju3r2LWCyG\n2tpaeDwefPKTnxS4xPNBhmosFpNu5uzZs+jo6JDB3/z8PCKRCCKRCMLhsGS+8iHf2trC0tISJiYm\nJG+WtsZ8yC5cuCDQEguAw+FAbW0tkskkRkdH0dvbi/b2dnR3d2NmZkaCVubm5tDX1ydCK5vNJp3Q\n/bgqKyuFI03WBH2CCJ8QUqFfeqHnSGH3XjicJVWY3SQLGiGYdDqNSCSCVColZmGF78UiRoydBYWd\nO4fZwG/Tjwo5/Sy+fF/CPOFwGGtra6iqqpLThE6nu4eWyM2Ns7PC71ldXQ21Wi0UaQDy5whdkGvP\ncBPCImSu8F7x75OpVFNTI5YQhI8A3FPU2d0Tr+fJivebn4UeQIRhOCDl9+RrFdoIBwIBbGxsiEqc\n8A4tjpkLQMSCBZ6eO3V1ddDpdLIpUzlbaPH8u1z3BaJ57rnnXuQPPzIyIrL4jo4OFBUVYWVlBZOT\nk7hz5w7q6uqEB0t73MKjq9vtxsGDB2Wn7urqkuGQ3+9HZWUl1tfXUVNTA88HGZVmsxlra2tYXFxE\nV1cXzp49i5GREcFOubPm83ncunULDocDwWBQxBl8gAl1MF6LvGPy4J1OJ1pbW5HL5TA4OAir1YrV\n1VX4fD6cPHkSPp9P6IlVVVWw2Wx46aWXcOTIEczOzkqY9O7uLo4cOSIDL5VKBaVSKdLqTCaD5557\nDmazWe7V5uYmTp48icnJSZSWlsJgMGBsbAwABOtXKpWCcRJ+oicHGS9kNbW1tWF6ehq7u7sYHBxE\nLBaTYWJdXR3Onj2LS5cuweFwiL1xLpeTwe7GxoYwFLiJ/+3f/i0+/elP48SJEzAYDIjH49Dr9VCr\n1VheXobZbBbHQnoKra+vy6C2sbFR0pCI51dVVeHxxx/Hz3/+848covnjP/7jF+lNxIEkiy350RQU\nkSnCf+ewj1hvoYCI7otcfwDkwSc/nn5JhVa0NTU1sk5yuZwUCq4pAOIzTlofjfwK7YsJQQD7NECe\n0jY39zNKm5qaBDIhAYHmcVxr/Jx8nVQqJQVerVYLnEI1bzabxfb2Npqbm2G32wWKKS4uFiryzs6O\nFP7/PiymRw6LPy0NqJhmd8/fqDCogwHa6XQaVqsVarUaS0tL93Tb3DT4mVnsgX1G1LVr19Dc3Iyu\nri7U1tbKLIUwDE9jDA8hPEQOvkqlEsyen5shKL/61a/+dw9ZDx48CABobW1FRUUFLly4IIWZNCSb\nzYaHH34YW1tbmJmZAQD09fXJEUij0YgtbiaTEUe9GzduIJVKiboymUwin8/j8OHDePPNNwXL5mJs\nb2+H2+2WG07/9YWFBczMzKC1tVXomZT0MzqOQz8WL6vVCrvdjsHBQczMzODKlSsSxJDJZPDGG28I\nfBIIBNDc3IzV1VXs7Owgm83i8uXL0Ol0Mi0vLi7GpUuX0NXVhfn5eeh0OsHlrFYrgP0HhVgqsB9t\nuLy8DLVajampKZhMJmQyGeTzeTQ3N8NsNsPv9yMcDsPlcolqkQvpwIEDuHLlilDtVCoVvF4vrl69\niqKiIunastksnn/+eSkOTqcT5eXl8Pl8iMViWF1dBQDRCWxvb4u8vKWlBb/+9ahs5noAACAASURB\nVK/R29sr35PHYJfLha2tLZw8eRK9vb3o6OiQjavQp2Z+fh69vb0oKysT46qWlhaMjIzg4sWL92FV\nQ7plHrNJS+RnJwumcPCpVCqhUqlkfgJAOkwO6egqyRkNO/FsNivDQxYNQi4UMtHEirAnO0U+F4Qf\nOdAkPMBOlNgvu2cWr9HRUcHc5+bmcPny5XtcKMnM4t/hZ+U6LSyo7PDZ5VJVTrFYcXEx/H4/5ubm\nJECG4ikyTerq6gRTLy8vRzweFzsGzkKoYiWGns/n5f6trKzI/dFqtdDr9QCAUCiEUCgkVs6FsxGG\n+BRy7JmVQOU2L8JGVO6SVUeqKTco/h7l5eVQq9XI5XKorq4WDY/X6/1Qa/K+2QVPTk4iFAqhtbUV\nR48exdzcnCQGUfLOB6CpqQn19fW4fv26DD9HRkagVqsRiUQkH5RZp1qtFktLS4LTGgwGuFwuPPro\no+js7EQwGIRCoYBer4fT6RS1JnnKxcXFYsjFk0IkEkF3dzdmZ2fx/vvv45lnnoHL5RK/dK/Xi0wm\ng+npabz55pvw+XwoKysT69rm5mZcvnxZOi8ObdfX13Hz5k2YzWYYDAZ0d3ejpaUFPp8P8/PzEuRA\nNozD4cDNmzfhcrnQ0tKCU6dO4dFHH8Xw8DCcTieGh4fFGCwcDiMejwvM5XA4oNPpZI5w7tw57O7u\nora2VphCZWVlOHr0KDKZjLxHeXk5Tpw4gbW1NVRXV2NhYQHRaFRCvScmJqSrNhqNqKurQ2dnJ1Qq\nFWKxGDo7OxGNRhEIBOQej4yM4JFHHkE2m0UoFEI4HIZCoRA2jsfjQUnJfnxfKpXCjRs3YDKZ5NRh\ns9mQSqVw8OBBLC0tIRgMYmNjA0ajEX6//34sa6ysrMjpjX4mhZAMu2ZaNSSTSVlvZEixuFMjUOhh\nw8670PqXcxz+OQ5ECYGRFsxBLiEK4LccfJ5caSFQVVV1j7Uuh6/8DHwNhlxTzFZotcBiWWjhy38K\nqZWFUYOlpaVQqVSikqWmhF11JBKRXFq+Fu8pO3eur4qKCoHHOMfgaQqA3A/+O09cLLKEU6h6Jb2S\nmDsAOeXS8oG04Ewmg/r6etmYKczi9+LMpVDkSbYONQU8QRFaItwcjUY/1Jq8LxDN008//WJ3dzc0\nGs09w0uTyYTh4WF0dXWhoqICTqcTOzs7WFpawu7uLmw2G6ampmTgkc1mxceCC6umpkZir7gzVlVV\nyUJ0OByw2WyYnZ2VEO/vfe97cDgcUCgUSCaTgjH29fWJve/s7Kx0oLT5ZbQch8YUZjU0NGBoaAj1\n9fXSRdAB89ChQygtLZUw79bWVvT29mJtbQ21tbWIRCJYWFhAPp8XZo7BYMDCwgJUKhXC4TCSyaQk\nTrndbhEADQ0N4eWXXxaoiD4WBw4cQGtrK4qKimQu4PP50NLSAr/fj6KiIvh8PmxsbEgU4p07d9DZ\n2Qmr1QqPxyOOfYQKbty4gebmZly4cAEnTpzA6Ogobt++jcHBQTgcDlHHOp1OtLW1oaGhAbW1tbhx\n4wZef/11/Nmf/Zng//StyeVysNvtWFxclG50fHwcNTU1iMfjGB0dxeDgoOgddnZ2ZLMmzPX444/j\n4sWLCAQCHzlEc/r06RetVqswZcrLy6HVagWbp/CGxbmQ/la4KRBnJxuLnaZWqxWIkOpTvg59VNic\nsBgkEgmhOhY6SRayWmipm0wm5WTMYSgLH/8uh5RkkXAOoFQqUV1djUQiAY/HI9AJB7AfMJukc2dx\nZdHkMLq4uBhLS0uIRCJiD6BQKBCPx3H37l3E43GZs1AUaDQa76FEstDzs3FISyinEDvnfcnlcmIN\nTvEUGWCJRALJZBL9/f1ynwoN2zg4v3PnDrxeL3Q6HWw2GyorK2Uj5KmKeD1hF556mIJGRhAps4xD\n5IB3bW0NY2Nj/7shGoVCIQPCzc1NmEwmrK+vizMgO5GDBw+iqakJx44dQ2Njo+Sgtre3Y2hoCK2t\nrfJDrqysoKamRiCLZDIpNEzeIIPBgNXVVXi9Xkl7MhgMOHfuHMbGxpBMJrG7u4uhoSEoFArcvXsX\n09PTqK6uhtFoxO7uLn7605/Kzn3s2DGxRrXb7bh+/TpSqRTcbrccBTs6OnD16lVYLJZ7TJMmJiZE\noEGYg8NSCjvYrRBLpQCmsrISLpdLNjOTyQSr1SqF3WAw4PTp07BYLDIEXVhYAACYzWZ0dnaiu7sb\nTqcT9fX18Pl8sNlsaGhokMhAk8mEo0ePYmlpSRSCp06dwsbGhvh+EH5YXFzE0NAQUqkUBgcHBc7h\nzMRiscDlcsHpdOKb3/wmPvWpT0mRMhgMGB8fx/Xr10W13NDQIIwE/obd3d3Y2dnB7OwsFhYWJCBZ\np9PBaDRiZGQEN27cwKVLlz50l/M/dTGMhQWQg2YGPtDPBYAMJSmOoQ0Fh5TAfqdPaw0WdloPUEhD\n2Cqfz4spWSaTQS6Xk3kVIRx2puSar6+vy4lydXVVTpacYVFAVWg1QEqfyWQSCiaj9HjqJIzE9yEM\nw/cjK4d/hjOJ/15019bWpEkh9VCv18NgMMhwOZVKCSxUGCpCNTa7Zw66CYetra0Jng7sUxdZUHlq\noD0EPYOy2aysLSYrESIMBAJYWlqCxWKB3W6XGpbJZOB0OoU6yvVQVlYm1iLcCEgcYeHnRuD3+7G4\nuIjt7W2YzeYPtSbvS4FfWFgQC0/GxK2vr6OpqQkqlQoej0eYNcQd6+vrZaEQtuDOqFAoxEmPUmVa\n1tbV1Uk2KTF+AOjp6UEul8P4+DhOnTolZmILCwsYHx+Xh7OzsxPXr18XRSDlxvF4HBcuXMDc3Bwe\nffRReDweMQfr7OxENpuVjcRqtSIajeL48eOSP/rkk0/KcTwcDgs2z0GnTqcTPn86ncaxY8cQiUSE\nKqhSqbC8vAyXy4V8Po+uri4YDAYMDAzAZDIB2HfsJE5qsViQTCYxMTGBVCqFt99+Gy6XC4lEAjqd\nDtFoVI6O7HouXbqE6elpMXn74Q9/CAC4cuUKRkdHEY1GYTabhQ1TU1ODmzdvQqPRoLW1FSaTCXq9\nHteuXZMOu7OzEzs7O6irq8OpU6fkszGE22q1YnNzE21tbZIORCdPABgaGpJoPgDiX0JL4c7OTvzh\nH/7hR72kAUB4zewQibUXUvsAyDCNR3SKnojBc41TTAPsi95oIcz/5PNAeIb0PdoI8+9SgU24hRAJ\n4R6KaTiUZKEEIFRJwh38fhTssBCura3dY0TGEzVhD2LXhRYJvCfcPIhz889w/RNjt1qtaG9vF+96\nQmAUGPGEtLe3Jw0GT9d8D1KgOSshv59WwIRu+f3YdZNlVOjhw/flDO3AgQPiqUTPHm4whWuE8BWL\nPE9pAASW4do/cOCAfAbi9h/mui8F/tSpU7hw4QLsdrvI+Y8ePSp2n4ODg5idnYXFYhG+7J07d1BV\nVSWpQTdv3kQgEBAL4Y6ODuTzeRw9elTgDXbzPp9PulJi5twYbDYb3G43+vv7cenSJSwuLgquzx9b\noVAIS+YLX/gCDhw4AI1GA6vViurqagwPD2NlZUXsgTUaDSoqKtDV1YXd3f2cyZ6eHly5ckU82kdH\nR5FOp0X9d+LECVy/fh2Li4uw2+0YHx/H3NwcPve5z+Htt9/GpUuX0NzcjJKSEiiVSvHKNhqNaGho\nQDabxWuvvYazZ8/i2LFj0iGbTCZYLBbcvXtXBkkajQY9PT2or6+H0WgUNz+VSiX8Xo1GI7DZSy+9\nhK2tLfHi4eklkUjA5/PB6XQiHA6jpqYGdrsdXq8X6XRaWDtHjhxBc3MzXnrpJXz1q1+VTnZzcxM9\nPT1obW0Vmis7nZmZGTmZcUirUChw8+ZNHDt2DKFQSOYOJpMJc3NzKC0txeXLl/Hggw/ej2UtLqOF\n/uwApHASgqDYDIDw0mk9QKojiwA7fF7EyouKiqSDpaMiw59JK2Tnury8jFQqhWg0Kr5O7Jjz+Twi\nkQi2t7dFm8Biz46WrCBixezod3Z2oNFo5LRCqirNxoipU4DEzcDv9wtN0+/3yyZVOGPI5XLiDLm6\nuoqGhgY89dRToocp1LVkMhmkUik51RH2YdHnHIAbG4s+NwnCYYRGOJDlnCwSicj9Z8AHB7pFRUXw\ner3wer04fPgwamtrZSMnbEaLg8rKSrFcYCAKizfdOPneFGcVwo81NTVobW39UGvyvmDwTz311IsH\nDhyQTvu9994THNFsNotAoKysTIpoPB6Hz+fDiRMnEAgE0NfXJ0dSQgWcOANAMplELBYT6uS1a9cw\nNTUlEWHj4+MwmUzw+XwiMtrY2EAqlRJ2BxWU9Jo4f/68OD56PB4UFxdLHmR3d7dkJnIwY7VaEQ6H\nZdNQqVQA9rvOkydPyvwgkUhIZ5bNZpHP5xEKheD3+/Ff//VfYkjU2dkJv98Pj8cj+PPS0hI0Go0M\n22prazE1NQWj0SiFN5fL4cyZM4jH44hGozAajRgfH0dFRQVisZjMAJiqtbGxgZmZGczNzWF3dxdt\nbW3CxR8eHkZxcTGeeuopJBIJPPDAA8jn87IRMrTl1KlTMBgMYh71la98BX/9138tA1faLXygzINe\nr0dDQwP8fj/q6urQ1dUlsXW7u7tobGxENBqV4fy5c+fQ3d0NpVIJr9eL9vZ2pFIpsTS+cOHCR47B\nM6mM3R3xa3ayHOzx33liKgyhYDdNnUQhpY8FoTBUZHNzE4FAAHt7e1Cr1bJ+iKXTDIyvT0424YGN\njQ0Eg0FsbW1BqVRK0eLFgS0FNjwtU39RWVkpxmIMlq6vrxd8nN18JpMRU8BgMIhAIACPx4NcLicz\nM1om8OS+s7OD5uZmgZhYnAGIJQU1F7FYTDQIHF5XVVUJUhAKhRCPx5HJZDA/Py/zMzKMQqEQdnd3\nodfrhT/P+0ehGZPWGhsbJeuYxAGLxYKGhgapWwDusRQm9EW8fWtrSyio3Nj5mUwmk0QDko1ELF+r\n1eLVV1/9361k1Wq1soirq6vF75uqLe5oi4uLKCsrQ0tLi3gqz8zMCJZXX1+PeDyOhoYGZDIZFBUV\nSUJSbW2tZLyOjIzAYrHg+vXr8Pv96O7uFgMzYrzRaBRTU1MoKiqC2+0WH2ZOwd9++21ZgCsrKzAY\nDPcoA8PhsPB56avODtRut6O/vx+NjY1CyaShP39UDm0TiQQAwGq1igUCTyJ8oIxGoyzIwcFBMWYi\nhnfs2DGo1Wo4HA6srKxgamoKk5OTshjff/99XLt2DX19fTAajfi3f/s3sSbY2trC7OysHBNnZ2eR\nzWbx6U9/GteuXcPm5qaogcnzr6ysREtLC6anpwUL9nq92NjYwKVLl/Daa68JIykWi4nHEADRIqhU\nKly9elViEe/evYtUKoX+/n6xqYhEIjh69KjQXDmY7uzslFxZtVqNrq6u+7GsxW9GoVDIPIGDvkL1\nNvnoDMRgRwzgHvvYwng/bgaERyiSYTFTq9UyHGXUHOEPXmSS8DVo9EVhDTcldpUkGxCnLmShkK9N\nPQUhFbJA1tfXBWJhZ8pNid9v+wNL3Gw2K3xwCvx4CuJJj+pbFk0aFVL1yrkDsWwOdcmyYSFNp9NS\ntCmGWl9fRyAQuMcjh88K7Rh2d/fTmvg919fXJYHq0KFDAq3ysxN+5RyCsBAAeR+eKPj8V1ZWQqVS\nQaPRCFwHQIRofM0Pc92XAk/q3szMjEz1uSDee+89nD59GuXl5XC5XDIMOXHihETUeTweZLNZNDY2\nQqFQ4NatW+jv75eBKG04l5aWhN5HUdDKygpsNhtMJhOWlpbQ3d0Nk8mEfD6PH/zgBzh27JjgiG63\nGzMzM9Dr9VhZWcGZM2dEop9MJmWx+nw+NDY24vjx47h8+bJ0uouLixgcHITT6cTAwIBQuMrKyhAM\nBqHT6YRBND09LbSvubk5xONx6HQ63L59W+xi7XY7Njc3RfTjcDjgcDjw8Y9/HF6vF1//+tcRCoUw\nMDCAlZUVEWNsbW3h9ddfx1NPPYXZ2VmEQiGBXlZWVtDW1obS0lL84Ac/wLlz5xAMBtHa2opgMCgF\n6rnnnsP6+jr0ej1ef/11rK6uoq2tDT/4wQ9QX1+Pn//85/ibv/kbfOc730EkEkFpaSlaW1vR1NSE\nlpYWNDY2Ynp6GpOTk+jq6sLIyAiOHj2K8vJyeDwe9Pb2YmtrCw6HA6+99ho+9rGPyYNbWVkJnU6H\nRx55BB6PRzbmuro6APtc5e7ubkxOToon0f24yAwhM6wQGtjY2BBVNYs2CyJVncTkyeAofF2ycjiU\npBKWmC7Nt/ia2WwWJSUlYtbG9DAW7FQqJdbDNTU1kuXLf3hRTESYKJVKYWFhQXj7JpMJra2tUoRp\nu8u1V1h0+QxyXlZUVCR8dkJAZWVlMBgM0Ov1Mofyer1wOp3y3RiqwvnG/Pw8qqurhe1VVlYmOhhe\nhXx7wqLxeBzXrl0TrylCSxx6ApB7U1JSgtnZWdTV1UldCoVCwh7i70xKK5s42q/w3iWTSdTX1wsn\nn3CSXq8X+DOXy8naXl1dleAR2pN/mOu+FPhIJAKNRgOVSoVDhw7h5ZdfRkNDA06ePIl4PI75+XlR\nyXV0dGB4eBgqlQoKhQJqtVo6iaqqKkQiEfGe6erqQnV1tUzKn3jiCUnDGRsbg8PhwJEjR6DX6zEz\nMwOlUolkMgmr1Qqn04k///M/x+joKFwuFz73uc9hbGxMBB6f+cxnpDtKp9PQarXY3d2VOLOdnf3c\n16GhISwsLGBqakoWMZ0uGfQRDoexvb2NyclJ1NXVIRAIYGBgAJubm3jvvfdk9kAV6Z07d9Df3y/h\n4u+//z6amppw/vx5GAwG/OM//qN4vJtMJiwvL2NjY0MCfdfW1nD9+nUYDAb8xV/8BX7v935PZPQt\nLS3iTHny5Ek5imcyGfGxpjMmaaR1dXUClzz00EMYHx/HE088gfPnz8PzQejJD3/4QyQSCZSWlqKn\np0eK8NDQEEZHR9HQ0IDR0VF5rZmZGVgsFoyPj6O1tRU2mw1ra2t44403JLqMgezvvfeeeIXTVIsm\nVzMzM/ctso9FhJs4u2cWLxa6wpBrClo2NjZkU+d6IoOFARUsFOwi0+m0QADE3vP5vBh4sStmR0lM\nl5+NikmeiNh4FUIHOzs7WF1dhd1uRz6fx8zMDNbW1lBTUyPDV4Z+EErk6aAQr6fBGZk6hdJ+blT8\nDLQn2NnZkQ7d7/eLN09RURHUarVYKASDQdjtdlFAl5WVob6+HtlsFmtra1IzChOYNjc3sbi4KJsA\nNxvgtycxzhBolTIxMSEDXG7mOp1Ocp4PHToks41IJCLDdYquaPdAGwNCs0VFRbBYLNjd3ZUZGO8V\nP9vOzn4Gcjqd/lBr8r4U+JqaGpmMBwIBOZaNjo6Ka2BtbS2uXbsm0mS1Wo10Oo2JiQm88cYbCIfD\n4mDHtCG9Xi8ip6mpKXR3d0OlUsHlcuHQoUPo6OiAVqvF5cuXxRrB7/djcnISCoUCzc3NmJ2dRT6f\nx8svv4yqqipJQLfZbHKUpUAjk8lgb28PNpsNHo8HExMTMlzK5/Ow2+14//33EQ6HpePxeDwwm83I\nZrPi/axSqXDr1i309vaKKZjNZhMBCel3dXV1+M1vfoO5uTn09/fj2Wefhdvtlq6pvr4efX19GB8f\nh9VqhV6vx9WrV9HS0oLTp09jb28/fvD555/HwMAAYrGYOP3V1taiqKhIkmO6urowMTEBtVotZmbX\nrl2Dw+GQgk4I7ezZszAYDHj11Vdx+PBhRKNR+P1+9Pf3C7bI7o2yb6PRKKZZCoUCy8vLWFtbg8Vi\ngcfjwbe+9S0ZntN50ePxQK1Wi2Mnk6LIMT58+DA2Njbw1ltv3Y9lLZYYOzs74jJIgy4yJfhbFXrD\nrK2twe/34/Lly9jZ2REaYGHsX0dHh9CAC2EM8uw3Njbg9/uliFBIxSFhLpeTGZFKpZIiR38VpkGR\nrUZeNn1umNcwNzcnmgav1ysnDcIrtDcgvZNddiEjKpvNIhKJiA1JcXGxuIaSk04RFzF2QoG01qW2\npKKiAhqNBgCQzWbR29srA00WSDLqCm2ICYWyGSw0LqPpW2VlJUwmE3Z2dnDt2rV77Jt5Iim0hTYY\nDNje3pZBK9fC6uqqbNa7u7sYHR3F+vo6LBaLWC6YzWZxjaWwjEQJ+tXQm/7DXPelwHNxxGIxLC8v\nQ6/Xo7a2FgaDAdXV1ZIxyUXOXZrYXVdXFxYXF0XKrVKpMDExAY1Gg7//+79HSUkJbDYbQqGQhGZT\nQr+3t4dsNotbt26JT0dbWxveeecd/OhHPxIlLDFfi8WCYDAoikutVgutViue1F1dXUIP3NraD+um\nF3pPT48YBu3u7kqsWF1dHSYmJqBSqeB2u1FXV4eDBw/C6XRiaWkJlZWVYm526NAhNDU1YW1tDRcu\nXEAmk8FDDz2EtbU1yd4cGhpCIBDA4cOHceTIEem26uvrceLECSiVSsRiMRiNRrhcLtkYH3jgATnu\nEwfNZDLo6emRofWZM2dkrnH27FmEQiE8+OCDwo0/ePAgfD4fMpkMmpubsb6+jvb2dtTW1iIUCmF9\nfR09PT3C9Njb28//vH79OkpLS2E2m0WdSqGaWq1GMBgUxo/X6xWthMFgQFlZGTweD06dOoXFxUUs\nLCygtrYWfr8f5eXlMBqN92NZS/dKlgy7TeC3BlvsANndEk6htQOH3ACksVEqlTCbzUKp1Wg04ltD\nOCWZTIqzJLUkLJz8HegTQ3421amEdhgRx/VQOBAMh8Oorq6+Jy2Kiks2NNzQ+PnpVcQcZLJnCEtS\nFcuiSk0L6Y4ajUYKM2miLJwcOpPCuLu7i2AwiN3dXWFp8bTC36YQdwcgiAD/DGMl4/E4gN96um9v\nb8Nut8uQl1Dv5ubmPUpYwl+kkvK3Ly0tFUYQSRg8vdAugu/HGscZReGwmpDXh7nuW4Hv6uqCz+eT\nRUZ/dvJtAaC9vV1sR/lDs4MllzqbzWJ2dhYdHR04evQo4vE4Jicn0drairt37yIYDMqDde3aNahU\nKszPz8Nms0l3TEYJmSZUi5J7evDgQUQiEcnIXFpaQnl5Oe7evYvGxkbcunVLBBnE8hKJBHp7e3Hp\n0iXpyLjw6HlOywEO5FQqlXTiOzs74pNDRhC7EhqoffnLX8b8/Dw0Gg3+4z/+A8eOHZOjsM1mg9Pp\nREVFBewfBJ1wU1xcXMTnPvc5XLx4EVVVVbDb7TJLKCkpwfHjx/Gb3/wG/f398Hg8cuzX6/Xo7OyE\n2+2GwWCQEIZcLofJyUk8++yz4isDAA6HQzathx56CMPDw4LbFvKBR0ZG8MUvfhFvv/22KJQffvhh\nvPPOOxgZGRHa6cLCAurq6tDb2ysitMHBQeTzeVy5cgXRaBT5fB7j4+P3Y1lLJ8cHlKHUxNDJsCkr\nK5P/zmBr3kcKbhhKXlKynz7Ef6dZFeGKbDaLRCKBiYkJ+P1+CfBOJpOIx+Nwu92ora2VsPp4PC7Q\nBU3oqKxlWAafNXrZ8H8rnB/QwrasrEzolFtbW5JQRJYLKaC0SNZqtTIQrq6ulvkYLY+bmprEcK6p\nqQkLCwvCBNrd3RWPHzJgaJlMTjzDZgi90tuFsAcLbeHwu9AOAACUSqXASozZ7O/vl4JP6xL+5rQ8\nZ3xlod8OqZpUKJMgAkDmJEVFRTJXYqhQIdU1EAiINTMH3r/rdV8KPB8ChlL4/X6YTCZMTk6KUm1t\nbQ2xWAzj4+OoqqrCgw8+CLfbjWw2KzjdysqKYJZqtRp3797F6dOnhZ5os9kkaKGrq0uw6Xg8Lj4p\nbrcbZrMZ7777Lp544gl8/vOfxze+8Q0RWv37v/87nnzySaFc+f1+DA4OYnNzEw6HA8lkUrjf9MmZ\nm5vD1tYW/vM//xMqlQqBQAD//M//jJmZGTQ1NcHpdMJoNAo9LJFIYGhoCCaTCQsLCyKS0mg0ePjh\nh7G0tIRwOIzW1lZ89rOfFbk4Mfx0Oi0w0NjYGOx2Oy5evCj2C0tLS3L8JFOHeoJjx47hF7/4BVQq\nFZxOJ7LZLH79618Le6ihoQHT09NIp9Po7OxEU1MTXC6XJNRks1m8++67ksQUj8exuLiI9vZ2TE9P\nC9PFbDbj7t274lo4MDAgs4xwOIxf/OIXyOfzkl2bTqehVqthMpnEvz8Wi8ks4MqVK/jTP/1TeL1e\ncb88dOgQvF4vHnjgAfz85z//yNe1Wq0WjjYZJGSk0HiM3Rj55ZTok0ZI4Uyhw2JhCDUdC/f29gSq\noKaDHffc3JxQL+PxODQaDVpaWuD1eiWbmB0t6ZR8TijSYYGjkpObVXl5OdxutzB4mF/KwTAtd+kx\no9Vq5dRFF0qKn8jvrqurQ1tbm0CsPGVQtMjZQEVFhYiqeNokFEUaIs3cAAgNk8UXgMA/5O/z91Aq\nlbIRmc1mVFZWCm2YiWp8H4VCIT41pJBub2/LZ6cLKL9HISWTTKBC1tTu7q4k1Gm1WsHhy8rKJBeX\nNMmWlpYPtSbvi9Bpa2sL4+PjMBqNiEaj6OvrQy6Xw5EjR7C8vIzx8XEJVqZd6I9//GPcuHEDbrcb\n4XBYEo1OnjyJkydPYm5uTnDD5eVl2O12cWXjgNNqtUqoNIN+Gfh8+PBhOBwOTExMyA4eiURw+PBh\ntLe3i2BIq9XKcUmlUqGzsxNer1dsSNVqNfr7+7G0tAS9Xo/Z2VmxYeBibG5uhlarxeLiInK5HM6e\nPYudnR2kUik0NjaK10xHR4ecQD72sY/hmWeegc1mQ3FxMXw+Hxhc3tTUhMrKSty5cwcWi0W4tFT7\njo2NobKyEhMTE2hpaUEqlcLVq1dht9vxxhtvIBKJQKvVorq6Wk5BV69exczMDNra2mRQxNg4DgCt\nVisCgQAMBoN8LpVKha6uLpSUlECr1YrV7dramgRJVFVVIRgMYnx8XLqf69evw+v1ori4WAJNmPzD\npKKqqiocPHgQGo0GR44cQVFRkcB7DocD09PTWF5evodi9lFe5Kyz0y30tcnPdwAAIABJREFUi6Hx\nFgAR13B4RpENqZR7e3swGAxyUltdXZWCTXiHJ18OKxUKBbRarUjqqRq22+3QaDQwGAyyOTAsnawN\nUvjIqydcRgiIyUnV1dWy4dBzhpnBsVgMiURCxE/E15nSRg4/bQQqKysl/ctqtcJqtYp3EwAparQZ\nASDNQaH1MvnqhEp4z4nL8/U4B6Czaz6/H/adTCaFcsmTDZW8jBRlilSh8Rq/D0VNVNxymEt1K5k0\nxPhJtWRzS3iGzQB/k3Q6LVbSRDEK1c6/85r8v1nQ/3+vY8eOvdja2op4PC60It7o9vZ23L17F01N\nTYjFYnLMy2az0sHRdIkCnEAgIMczh8MhggXGuAGQB+Hzn/+8eFGTx/qFL3wB8/Pz8qCQLTA6OioJ\nMePj43JyIIfV6/VKJ5tIJMQBjqyXhYUFbG1tSQxZWVkZzpw5g52dHbzwwgu4c+cO1tbWcPjwYZm0\nO51O7O7uwmq1wmg0oq+vT4yquCg5OyAz4q233pLvabPZ5H7Ql4aLiJF8ly9flki0z3zmM1heXsbS\n0pJsfs3NzRgYGIDRaIRGo8Hm5qbI5ilU4vv19PRgdnYWzc3NwqjI5XIYHh4WZg+DWba2tkQQtbq6\nioqKCoTDYdjtdvT29oqHT3t7u0BCsVhMTKay2SzOnDkjEBqP3aOjozh37hwmJycRj8exsbGB69ev\nf+RCpyeeeOJFFhYWTGLkHNCR/bKzsyMFlWKcfD4Pg8GAxsZG+e4cujU3Nwu9cHV1VbpCrgvCJQAQ\nDAZRV1cHk8kkUXVFRUUSaL28vCyqTQDyHoR/+DlpB8FCRD47IU9qOZispVarZTMhVVChUEjx5KlG\nq9WiqalJGiauE84tuKnkcjksLS1ha2tLumO6ULJgl5eXSyYCTxQUepHuyPDvvb09yRAgnZobZ1VV\nlRRmlUolsBk3S9oOE2oq9PehZTExcgrLtra2ZMPgfaUqmCKmws1Up9OJYVvh7Kaurg4bGxvw+Xwo\nKirC5cuX/3cLnaxWq8S3VVdXI5vNYmpqCn19faIKzWaz8Hg8aGlpQTweR1dXF1KpFM6dOyc+70aj\nUVSXiUQCfX19Eup79+5dHDt2TBLb/+Ef/gEvvPAC3n77bUxPTwtMsby8jJKSEqysrOCXv/wlPvWp\nT0GlUqG0tBRLS0tobW0Vk63JyUk8/fTTAICZmRkZApWWlqKpqQlPP/20BEEPDQ3h0KFDku4UDofF\nKa+yshJvvvkm9Hq92PQCkALILtdisWBsbAzl5eWwWq0oLt7PhgSAdDotznYOhwMlJSXy4KpUKvHM\nv3LlivhrU4TzhS98QYY1brcbAwMDQu1bWVlBfX09/H4/9Ho9vF4v6urq4HA4ZEHq9XrxqDebzTCZ\nTHA6nVCr1QD2PXAYjh2LxVBeXo6FhQUYDAYJUmChYsczNjaGnp4eeDwerKysYGdnB0888YS4ItJl\n79VXX8WxY8dgMplgNpsRDAbR29uLXC6H1tZW4Sbfj4uiFnadpChStUqueqGDIfnlXAsU1nBj5OBt\ne3tblMiEKXisJ0EhGo1iZWVFoJBQKIRgMIhcLofFxUWYTCbpaE0mE3p7e2E0GoWRptFoxN+J7pZ7\ne3uw2+0y9DObzeJR39TUJJsDh8tUnAIQ/L7QTK2iogIGg0FcYmtra2H/wAJjZ2dH/g5PNpz/0Kqa\nhRL4rS8ME5G0Wi1MJpN0wwcOHEBjY6NALDxN0SgNgIjPqCVgvCHhF0JjPCHQboDOlBsbGxJKw7hG\nzix4L9jxcz7GkwxnAhUVFcIsYlMGQBw5V1ZWZDPmKex3ve4bBj81NSVDiMrKSpw+fVqKTFFRES5d\nuoRTp05JgRkdHcXi4iLy+bxwU/V6Paqrq9HW1oby8nKMjY0hkUjg+PHj2N3dxY9//GN4PB7Y7Xa0\ntrbC4/Ggs7NT2AjPPfecBB9cuXJFjlmBQABra2vCmW9ra8ONGzfQ2dkJi8WCH/3oR4Ihr66uYnl5\nGeXl5ZiZmYHX60VbWxt+9KMfYWdnB3q9HpcuXZIHN5vNwmazIZFI3CNuOXr0KEKhEOx2O+LxuHja\nJJNJaLVaRKNROBwOAPtxYGazWSx+p6am5KTBhX737l3B+Ovr67GysoL+/n4JK2lqahI1b29vL4qL\ni3Hx4kWcPn0aN27cQHl5OT772c9K4C9hgpmZGTz22GNSpN58801YLBa0tbUJN3h1dRWDg4OorKxE\nW1sbfvazn4mg7OWXX8bAwIDoIBKJBG7fvo1Tp06Jd77D4cDU1JQMwen6yWB0djT00W9qakIkEkF5\neblwou/HRZMswiyF7oEKhUIYGRwY0lucFgU0ISsqKhKIobi4WOYmxPPJVAmFQojFYuIjxGEpeexk\naCgUCjQ0NECv1wuUSAUqFZi1tbVSxLnBEHMvLKr8XhsbG7JZlZbuR0kqlUrodDr5jKQrMuf4wIED\nMltgR8/vS9YJT7qEYAhFFbKS2DXTbZFDU6p0OYhlcSalksphAPJ7cNDP2kMvfDJzWLA5YCXGXlVV\nJRtQbW2tNJJWq1VODiSH8HPTkoCB34TzqOnJZrMSeQlAhsAkaNDX58Nc9wWi+cY3vvFiIbbHI//m\n5ibC4bCknpeVlSEcDqOoqAj9/f1obm4WX3PikDzOtrW1IRaLYX5+Hh0dHRKOQaFIRUUFbDYbfvKT\nn+DJJ5+Ey+XCxMQEAOChhx5CIpHAF7/4RSnsDz/8MOx2uwwyy8rKcOTIEQwPD8Nms6GiokIKJZ0a\ni4t/GyJNFeidO3dQXl4uea1tbW1C+WpraxOVHINNpqenhRvMh3N5eRnHjx9HKpVCNptFe3s7crkc\nrFYrlEolQqEQysvL0dPTg+vXr4uHDPE+Pkzr6+twuVwwGo1ynOb/d+fOHdg/MH9rbW2FWq3GxMQE\ndnZ2MDExISZLTIQqKipCPB4Xj32yKaggzufzmJ6eFuZHR0cHxsbGUFZWBqPRKMdgtVqNq1evorm5\nGePj49BqtZiamoJer0cgEIBKpcLa2hqUSiU2NjaQTqfR0NCAVCqFjo4OFBcX48aNG2htbcX09DRU\nKhWGh4fh9Xo/cojmmWeeeZGzAhYEdqYsZgCkW2RBou0zFYsU1NE+OJFIiO8/mwIKgCjsY0BGSUkJ\nAoGAwCfMSyUeTmUmCxd55uXl5UilUgAgvHg+g+l0GnNzc1heXobb7ZbfncEqNNSjf4parRa6Mdk7\nLFL/vcPnvItFkxoTihgDgYBg/2QScfMBIKZktA1RKpVCjyRHv9DnR6VS3eMDxIsGgoXiIloI8Fnk\naZ0D3cLfMpPJwOfzCR2aDB/qNGgjQqYN53iEnXjq4G9OozifzyewGn2WLl68+Duv7ftS4L/0pS+9\n6PP5cO7cOczMzMhxiqZhpGFFIhE5yioUCng8HsHeefPdbjd+/etfy98Jh8P4yU9+gq985SsIBoPw\ner3w+Xz45Cc/iZ/97Gc4dOgQXC4XHnroITnCrq+vIxqNYnNzExUVFZienobT6URxcTEOHz4Mo9Eo\nfteZTEYeKIvFgsnJSUxNTeHu3bvCIqCC02azCa2Sdgt9fX2oqKiQ4y2P2JlMBmNjY0ilUjh8+DBu\n376NbDYLpVIJg8EgD/rKygqsVis2NjawuLgoIqm+vj6srq6iuLgYp0+fRlVVFba2tmA0GiX0g0PJ\n9vZ2YU/4/X4x9qJ/De+5TqeTQV5RURHa29uRTqdhs9lkIKhUKtHQ0ICiov0wkVQqhRMnTojXezAY\nRDAYxNraGnQ6HVwuFy5evAiDwSDimqamJuEe6/V6tLS0iMdMMBjE0aNH5Viv0Whw8+ZNnD59GuFw\nGJWVlRgZGcGXv/xlWK1W/Ou//ivMZjPcbvdHXuDPnj37IotioZUsuzzes0JJeiF/nIWAFEV2sEql\nEj6fD9lsFidPnhRhEwWBxHqJFxcXFyORSAh9kWZfy8vLoiepra0VeIiWwCySOzs7olEJBoOIRCJC\n40wmk7IhVFdXo6WlBe3t7ejr65NBPbnm7M4JB9bV1SEUCmFtbU0GxvSSZ6IavZ2Kiorg9/sRjUah\n0Whkg6Kil7BPYcNQX1+P+vp6yW+lv8vOzg4aGhqEe895QaEDp0qlktckl57QDOccpaWlIlijcIun\npkwmg3A4LKKyuro6sYOIxWJySrJaraitrUUul0MkEpHTBxlke3t7sqkmk0kMDw/j/fffx61btzA9\nPQ29Xv+h5kv3BaK5evUq+vr6MDo6KoOYmzdvigUojaY2Nzdhs9ng8/kQCoWwsrKChoYGeDwevPfe\ne9JxnjlzBlevXkVTUxMGBwcF9lhZWZFB089+9jOkUim0tbXhe9/7HmpqatDb24tUKiWBuqWlpXj1\n1VcB7GNtg4ODYgXKsBAWmUwmgzfffFMGMcShh4aGsLS0BL/fjxMnTqCqqgp/8id/AiZYcUC2srKC\nWCyGAwcOYHZ2FqdPn8bm5iaam5tx48YN2Gw2aLVahEIhFBXth1ZrtVqhIZIuqNVqMT09jYMHDwpr\ngo59p06dwu3bt+XY/vjjj+P27dvQaDTSWZ4+fRparRbvvvsu+vr6xHudA97bt2+LZS3VxHww6KdC\n7NFsNqOmpgYTExPS8dhsNhgMBgkycLlccLlcmJubw9GjR+H3+2UGwgAXh8OBd955ByqVCrlcDq+8\n8go2NzehVCqxubmJrq4uXLx4EW63W/xwGhoaMD4+jr29PelEP+qLxYddG3FTQg+09uXAk4Z5LM7k\nSVOtCfzWC6ahoQHRaFQ6Ya5Bxrwplcp76I/sIFls+DsR3wYgwrLCaDmK+CKRiNAC+X7kjhuNRlHY\ntra2QqPRyOuTWsmhMWEQSv8JSVDgtLW1JRAMALEoAPYhr7q6OqjVahk68s9VV1cLr58wEucfheHh\nhFHi8bjMFUhAoLCLkYFUsJLWypkVfweezOj0yU2Z7x2NRrG3t4dIJCJsHfLX6eKpVquloST/nyeW\n7e1tRCIRQS1KSkrgcrmEYMB792Gu+1Lg7XY7pqam0NbWhsXFRdTW1uL27dsoLt6PG6P/yCc+8Qk5\n1re0tECn0+HNN99EOp3G008/jbKyMlHpFdoDfOpTn8Ibb7wBrVaL9957D7lcDo899pgwTp5++mmc\nP38e8XhchBajo6N49tln8fDDD0tX2dXVhZaWFqjVanz729/G0tKSMHAGBwcRCATQ398v1gIKhQJu\ntxtf+tKX4Pf7cfjwYSwvLyOZTAqck0wm4XQ6cfToURw+fBgjIyNC+UskEjJkJfsmlUrhyJEjqK+v\nFz98o9GIzc1NtLa2YmtrC5///Ofx7W9/W5goTz31FNxuNzweD3w+n6TX/+pXvxLvnGAwKFJ0qmjH\nx8cxNTWFZDKJkpISaDQa5HI5HDt2DJubm3jhhRfw7rvvwuVyobq6Gi6XCw0NDXA4HDIbyeVyWF5e\nxokTJwRfnp2dxdDQkMQUcrBMK2c6eTY1NaGpqUk49XNzczh+/Dj29vYwOTkJo9GI69ev42tf+5rg\n/vRgeeihh3Dr1i1RW96Pi7x2uiCurq5idHRUQpMpNLPb7XIqZbwfu21G0RHHB/YLjsVikRMRmThL\nS0v3cOFZqLjhckBJ7jSHeqT+kUlCc7vKykocOXIEgUAAgUAAra2t4o5aVVUFjUYjthlUhJMaGIvF\nEIlEUFRUJN00hYHAPhskkUhIOlM0GpVQlMIZAJkoLLjLy8uYmZnB5uamuCySI5/L5aTh4N8hQ4kU\nw3w+D51Oh+3tbfl9iH1TEGgwGERLsrW1JRbHCoVCTl4lJSXC8KHrIwe8bPJojEjlLlk2ZNjV19ej\nubkZwWAQmUxG4CqKwebn5xEOh7G6ugqbzSYe8RSGAb/Ncf1dr/tS4GOxGMxms3QzjLl79NFHRVXZ\n0tKC+fl56PV6uFwuJJNJoU82NjaitrZWIv7eeOMNHDx4EAaDQbDCI0eO4Ktf/SrOnTsnKUG01lUo\nFDhy5AhKS0vlWJtOp3HmzBl861vfQk1NDXQ6neRA8odUqVQibHrppZcQi8XQ19eHjo4OdHV1YXt7\nW9gthw8fxtzcnBzLOeC8evUqHnvsMeTzedy6dQsWiwXNzc0YHR2V3FWqQTc3N3H8+HFEo1GhDba1\ntSGdTiMej+Ob3/wmgsEgLl68CIVCgV/96leSH3vz5k10dnYKVmk0GjExMSE+3lTJFhUV4eLFi8jn\n8+ju7hbxEoMFXC4XIpEIHn30UXznO98RV79sNguz2YyxsTGMjY3hySefxPnz57GxsQGdTgefz4fZ\n2Vno9XpsbGzglVdewcrKClQqFY4ePYrm5maJbVQqlThz5owMVx955BFcvXoV5eXleP3116FWq0VP\nkMlk0NfXh93d/bDwl156CQ6HA9/97ndRV1eHnp4e3Lx5834s63s8VHZ2duDz+eTUSex3ZWVFWBGE\n0WhERtiiuLhYcj8L+d2EyxYWFhCLxdDU1CSd/t7enkAuhEn0ej3KysrQ1tYmNOPa2lro9Xr4/X5R\nRy8tLSGZTAoLKRKJoKurC2fPnoVOp4NOp5NulQKdbDYrXG0OAzkszWQyEsaRSqUE7qSpGaElDjJ5\nekin03C5XAgEAshms/JMJJNJpNNpccFkKhsHsDw1kb3Ez0nPn3Q6DaPRiLW1NYTDYTl5NjQ0yOY0\nMjIi95E0SP4enGPRJI33vLS0FDqdTtT3ZMGZTCY0NzeLMeHU1BQymYx8f/ruUFzldDql6JN4Qmis\noaFBnGvLy8tlSPy7XvelwNMDORKJQKfTwev1YmBgQOxxb926JUf+trY2MSUjkyQQCMBisUCn08Ht\ndsuQ9K233pLB1fnz52GxWPD000+jpqYGIyMj4t9y+/ZtjI6OymCSknGLxSLChOXlZRQXF8tifffd\ndwXyef3114W/fvr0adTX10t4xezsrMTrsYDNz8/Ljq3RaDAxMQGtVouxsTFYrVao1WrEYjExLOKD\nyN0+HA6jra1Nwn/ff/99BAIBDA0NyfGvtrYWTU1NqKioEMyf/vF+vx9bW1swm83igJfJZGC32wU6\n4RE/nU6Le55KpYJSqcQnPvEJ/OY3v8Hw8LAM0hh6woCEW7duwe12o7u7Gx6PR7zHd3Z2YLVapesE\ngMnJSfHK6e7uxuHDh/HWW29JB7O0tIR0Oo2XX34ZjzzyiHSrZDkAEGOt5eVlHDx4UO51IpHAU089\nhe9///sf+brmUJHFhvg7rWGj0aisJwD/H88SBnFsbW1JcAcHk+yGyWipqKiQuETOcrLZrAhsCI0U\nDk8JA5WXlwtVlZ9jb29Pgmq4Bhgczc9HHLoQO2fHzGFtWVmZsGwIPRBCoS0CWSpcH9lsFj6fD4lE\nQphSwP7JhewtMmcACLec9EOeIljwOUMi64W/R6FdyObmJoxGI5RKpbg7UinLATidHjkjoSqWcAkV\nyXx98vn5O5tMJhH5pVIpJBIJbGxsyKZFS5JCCKampkZOEwcOHJDcCZqqfVgK8H0p8ABElDQ/P4/2\n9na4XC7B3ltaWtDf3w+TyYT5+XmhQFKKXlVVheXlZQCQRCClUgmtVov29naBdQYGBuDz+XDhwgXp\nDmkEZrPZEIlEsLy8DI1GI3xWUioTiYRABx//+MdRVPTbMBEOT2OxGH7605/K8BQAOjs7BdOvqamB\nx+PZv9Glpbh165YYHGk0GvzBH/wBQqEQdnZ2JCOWRzl6XHg8Hvj9fpw/fx41NTVChezu7sb58+fR\n2dkJhUIhR1IWjEQiga6uLknEikajUkjPnj2LiYkJPPjgg0LJKy8vx61bt/Dwww/DYrHg1VdfRVFR\nEQYGBqDVanHr1i3U1tYKdlpbW4ulpSW0t7eLM2YsFkMoFBKqa6Ea8M6dOxKveObMGSwvL4tn0NWr\nV+HxeOB2u7GwsIDJyUlRFA8PDwtL6Ny5c/jWt76FgYEBBINBgRXi8bjkBKhUKiwuLt6XNc2jOznw\nCoVCBC23b9/G6uqq+AlRy8HvwMAKpVIp3XGhJzxFdEwGKy4uhtvtRmVlJSKRiBiNEYIB9vHs+vp6\n8a4hJLO5uYlgMAiFQiEzAEIc3CQoAqQL4oEDB7C+vi4bA7neACT7lOwv4uNUljc2Nsrgknh1IpGQ\n5oLpSIXqXHb67JppkUw1Ki2FyUUHIN7rdEUtpCmura3Jfctms7BarTh27BjGx8fhdrtlNkGRF5lb\njNfjwJhQMJl8hXYOpFEHAgGJIgQAr9eL1dVVbG9vw+VySYpcY2Oj5AfQloGDXkY4RqNREbCxu/8w\n130p8Gq1Gp2dnbhx4wY0Gg1WVlYQDocFn0ulUtjb28O//Mu/QKfTQavVori4WEz2AaCjowPb2/sh\n2GazGefPn8ehQ4dw8eJFCSx+6qmn8Pu///v4y7/8S9TW1uL48eMi32fQM4ULFRUVeOWVV6DRaDA3\nNycTcKfTiWPHjklH0NjYiHw+j+XlZRgMBrjdbpw8eRLJZFI49Q0NDQgEApLpyCCDuro63LhxAzqd\nDmNjY3juueeELaFQKBCPx3H58mXU19cjFAphbGwMLS0tsFqteP7556X74WuaTCb09PRgZGQEqVQK\nOp1Osh4tFovE2dG8bXV1FX19fVheXsbg4CDu3r0rtDSbzYbW1lb4fD5h1JSWluLZZ5/F3/3d30ne\najqdRiwWkwKWSCSgVCrlIclkMjh58iRmZ2dx5MgRTExM4MKFCxgaGsLc3JwYhdXW1sLj8eCf/umf\nkMlkMDc3h6997Ws4deoUvv71r4s4JRQKyRH8tddew4MPPgiXyyUD9srKSszNzWFwcBCZTAbRaPRD\n51b+T15kuLAAkB3CNZ3L5TA1NXVPgg8HdTyRABCedTweF5iA7qplZWVYXl5GUVER2traZE2SsEDG\nFP3ex8fHxQ6BtsEc8tKqgKpOqpHJQCu0nABwjzqThn/l5eXw+XzymtQ4kOmzvb0tzx2tF9bX1+V7\nM9yDJ4VoNAoA0tVS5s+hJzc73hPCNAxwJ1bO34EDf3rO5PN5NDY2ysnFZrMhn8+LuRox+6qqKhlM\n8zdggeVgHNgfrhd2+QqFAqFQCLdu3UJpaSmSySQOHTqE+vp6OJ1OUREzlIcUWr4+h/Q0YWR4yNbW\nFtrb2z/UerwvBd7hcMgOTKpdSUmJ5I0ePHgQt2/fvseYiV1mW1ubTPidTidOnTqFO3fuiLQ+EonI\nQ/Hd734Xer0eb731Fv7oj/4IdXV14m3DQSLpYPX19TCZTCgpKRFx1Pe+9z00NzeLN8jbb7+N9fV1\n9Pf3Q6fTwel04jOf+Qxee+01/NVf/RXS6TTMZjPi8ThisRi8Xi86Ojqwvr6Oqqoq9PT0SKdNxzzG\nnVmtViwtLQnuWl1djUceeQS5XA5tbW3CXy8qKoLdbhfvfKfTKV4fXq8XZWVlaGxsRDweh0KhQDgc\nxic/+UmEQiG0tLRgc3MTnZ2dMJlMYgF7/fp12O12KJVKuFwusSOIRCKIRCJ4+umn5chf2EGRtkX7\n1NLSUtjtdoyMjOD06dNwuVxwu92w2+1yUqK/CimBtIioqKjAxYsX8fzzz8uDtbGxIZYNwH4nNDMz\nA4fDAb/fL91xPp/H2NiYFE2qfe/HVaheBSDdGQVGdCLMZrPi5c6QkO3tbekO6XPCIldo5UubbL1e\nL/AcvV/4HjU1NUKR5OyIr8cNh3+u0COH1L98Pi/QD7vxwg2LsAmHf3yNwpQqsoVCoZDwv/lnyC3n\n+xOCYXALBUU08+JmSBMzUquZZUxoi9GQPEXRHoFwGKEohnVbLBbB1dmgUX1aUlICr9d7D32URZyb\nCAVcPJGRZklFMdc5X5cCJ6pySSEl04j5AJwlkPdPptH/E37w77zzjlCZotEoVldXpXgB+x0+HQKZ\nouJyufDMM89Iwfd8EPMWCASQSCTEvZCybIvFIlFvKpUKPp8PfX19EkR99OhRcaqz2+3Y3t5Ga2sr\nnE4nampqMDw8DIfDgVAohNHRUdy+fVsGwEx3IcOjqalJHOtG/g91bx7b9n3ej79EHZQoiiIlXhJF\nUhSpizos6/AdJ87lI1e3JukFtOiKbvtj2x9L0W0YCmTbHwN2YhuwbmuALkNSdGnaNLFbp7Ed2/El\n25J1nxQpipR4i6Sokzq/f6ivp/R+3x/QAPvF/X2AIFsqWzw+n+f9PK/nddy6hYqKCthsNhnfVCoV\nRkZGxEtap9MhEAhITF9fXx+Gh4ext7eH3t5eGfWmpqZgNpvFNXN2dlZ80tfW1uDz+fD1r38d4XAY\nL730EuLxOEwmk1g4kCdMiXggEIBWqxVh2bPPPiv+4sTjW1tbxYzJbDYjHA6jsbFRBDJU/i0uLuLc\nuXPo7e1Fd3e3CMT+4z/+Aw6HA3l5eTAYDPD7/ZiZmYFer0cikRCrZ8aUcWewtbUlne329jYOHjwI\nrVaLn//85wgEAjAajbBYLCLWYsJXMpnE+Pg46urqsLm5iUAggO7uboHGPstrbGxMUqby8vKE7kZp\nOilx/O/sVNva2kTdygOLhxWLOS92oyyIOzs7UKlUMo2yc83Frevr6yVogrkGwP7hQzgoLy8PiURC\nlsQOh0N44IQRWNj4unhgULTIYry4uIhoNCrWFsxOKCoqkkON+wC+P7ptcolKc7OVlRWZSvgeOd2Q\nMEFaJQsp7/tcWIXMm52dHVEFr6ysoKGhQdhFXGDm7ib4OgsLC4UhlclkEI1G5UDc2tpCKpVCOp0W\nlk1ZWZn44mxubmJkZARerxdra2tiG8KlPGGt/2luxs+Mn1cugvHrXo9E6HT79u3XP/74Y0lQ9/v9\nWFhYwPT0NDKZDK5cuQKv1yvQSTabFWoZRyzixwBQX1+PWCyGgYEB6HQ6kQ7TIIhp6ydOnJAgAKPR\niPz8fOkKKioqYDQa4fV6BasfGRlBZ2cnRkdH0d3dLclOAKTTNxgMMJvNqP2lPL6pqQktLS2YmZkR\nR0CdTidBID/5yU9Ewef3+xEKhVBYWCjS8yNHjjxkBaxUKnHx4kXDNDaPAAAgAElEQVSx8tXpdHC5\nXPjDP/xDtLS0SGrT4cOHpesxmUxwuVzIZDKCLUYiEZGl8wH6pSkXSktLZam8s7Mjijy9Xi/L5OLi\nYqRSKSSTSQwPDwuHvaamBjqdDolEQhSsXV1dKC8vx+joKA4fPgydToeenh7odDo0NzfL++b3Mzg4\nKClFiURCxDx+v1+6Lfqy+Hw+VFdXQ6fTYXx8HAaDASUlJeIQSh+ehYWFz1zopFKpXqduwu/3I5FI\nCAMkm80+tEwDIAW5oKBAplh2wLn8cWYT0LeH3R2VvYTkCEOw2+ZkRPhlYWEBa2tr8Pv9QuFjjCBt\nDVjEGxsbRbjELthsNsvvoBqb4Sa0eKYYig6udH5UqVSiYyDmTybP2toaSktLUVlZiUOHDuHo0aOw\n2WyIx+NQq9VoaWmB3W5HWVkZKioqZAfALFcAcjARQ2eBzLVv4AQC7B8GxcXFMBqND9lL8NCgpTl/\nBy0DaHNuMBhgt9uF1mu1WsWPhq+FeD+79OXlZdllcAritEHfHz4T6XRaxJz8O7lDCAQCv9lCp8cf\nf1w44y6XC0ajEdevX4fD4cDy8rIUUXa62WwWRqMRKysrQpu8ffs2NjY2YDabMT4+jvz8fNTX10tq\nk0ajwY0bN3Ds2DHhvxIXt9ls2NzcxOjoqGCMVMcxASoYDEKn08Hv94snenFxsUT6FRYW4ty5c/LF\nhEIhTE9Po62tTW4+s9mMjY0NRKNRzMzM4ObNm1hfXxdKVENDgyhp2R0olUoMDAxIktSVK1dgs9lQ\nU1MDlUolv3NlZQXxeFyomHl5eThy5Ah8Ph98Ph8sFguAfXyQxTGTySAcDsNisYiGwO12Y29vD319\nfThz5gyKi4uF/7u4uCh+8zU1NeJb7nQ6ZWzc29tDIpGQAHEyap588klheZjNZqRSKWg0GoyMjIgK\nOBaLoa2tTUZcm80mvje3bt1CMpmE0+kUAzR+/8Q4k8kkbDabeJ4kEglRKz6KiwVvfX1dgjt4mJMG\nSb8acqaJIXPBx2WnVqsVDxN2m8SzaY+7u7srWg76rJPBQsw6l1NP2h9ZUIQcuMgk1s1ngV71LPJk\n8RAeWV5eRjKZlJCc8vJygTe0Wq18LjzEcvn+hE9KSkpk6iwvL4fdbpcQk1gsJstSNir8rNhlc7+U\nu3zkZ8OGhdPGysqKKIk5RdIVlRRT3juEVMgAIrRK50kyavgM8GcJrSmVSjmQCbvSGoJirVyrZr4f\neuhQI8Hv4P9mr/DrXI8s0en+/fuyVG1oaMCtW7cQjUZRVVUFg8Egp+4LL7yAkZERuFwuhMNhGI1G\n6HQ6XLx4UdKW2HFeuXIFm5ubwqknDjk/P4+vfe1rmJmZwblz5+SG5yKxqKgI8Xgc8XgcN27cQGVl\nJcLhMPLz82EymZBKpSQy7mtf+xreffddrKysoLm5WUargwcPSjJUMBjEwsIC0uk0Ll++jBMnTgDY\nT6iiyg8AAoGAwD4M6aVkPxwOo7u7G6dOnUJ9fb1wp81mMy5cuICNjQ3pVltaWjA8PIwrV66go6MD\narUa77//vqTHnzp1CuPj42JbXF5ejoGBAcHS6RXDCSAejwvVsaqqCtPT0+LouLGxAavVirfffhvN\nzc2YmJjAV7/6VUxPT4tTntFoxLVr11BdXS25q2QXJJNJXLlyRXJ019fX0dLSgr6+PinclZWV+Na3\nvoV/+7d/QzAYRENDgygqrVYr+vr6cPjwYTz77LOSC/vhhx/imWeewfr6+iNTsjJDkwpWi8WCYDAo\nOC3dIqmY1Ov1sj8hdbG3txcbGxvQ6/XCx97c3BS2Va7Yh9MYCxcLIYtOQUEBgsGg2A7HYjFZJDLA\ng88ZlcnMWWhubhYTLO5eVldXEYlE4Pf7JaKutLRUdkx8rQz6KCwsRDweF+iJS1mtViviu7KyMklZ\nWl1dRTAYFMxfrVaL/TPTjhg1yHtVqVQinU7LIcUDjQwgwkmEkThVcFHLCYhwFJ0r2cQRbqOVAacE\n7g1yaZT0CyIywMOdO4WysjJUVVXBarVKvjThI9JIeSgwlH17exsmk0m6/P9f+MG3t7e/zmVZdXU1\nGhoaRJjR3d2Nb3zjGwCA0dFR7O7uwu124+c//7l03PS7pqAmGo3i/v37eP7559HX14cXX3wRk5OT\naGtrg9PpFEFIb28v+vr60NnZCWDfMlWlUiEcDqOvrw8vvfQS+vr68NZbb6G9vV0kzjRsYpaqw+HA\nysoK/uEf/gF+v19yVkOhEPx+P27fvo1EIiGxaJlMBh0dHbLw4hKVy0edToe+vj4p6i6XC6dPn5Yp\nJ5lMSre3uroKt9sNk8kky+S///u/F5m5QqEQzx6z2Yzq6mrMzc2Jf059fb0s2p588kl56JVKJe7f\nv4/i4mIEAgGEQiEcOXIEwWBQoDEWLxaQ0tJS1NTUIBKJiD0Cl8/V1dWw2+3Y2NgQ3L2iogLXrl0T\n+qbNZhPnyry8PMzNzclDcPLkSdTU1CAYDKK0tBSRSARqtRrf+MY38Od//udwu91466234PV6AezL\n2hUKBVpaWrC+vv5IzMasVuvrJSUlaGpqgsFggM1mk++lubkZHR0dMBqN2NraEmiLit6lpSVxDq2r\nqxOdAR066f2ysbGBsrIygUj44NOTvaCgQKaYwsJCMauKRCK4ceMGlpaWBCLiwVNfX/+Qi6LL5ZIC\nX1BQIPz0QCCAiYkJmYgZ90jri1xXR1IqmVJVXl4Op9OJhoYGOJ1Omcg4eeTCRMTK+/v7MTMzI3sr\npkVxD8Sinas0JdbOAwzYF1YyG3ZgYEB+F4s7l7vcCdCYj4wjBplQ0MSDgOly9PP3er0i3uKf588W\nFhYKu4mZuYFAADqdDvX19Thw4ADOnDkjUCYbRJqXcQpSKpWYn5//zYZoKFHv6elBc3Mz0um0xMO5\n3W4Jmnjttddk2TQ9PQ2lUomVlRX4fD5885vfhMPhwObmJn70ox/h6NGjmJiYwAsvvCBj597eHiYn\nJ+F0OsWxkMtGl8slOHFZWRl2d3cxMDCAX/ziF//XpBWr1YpDhw7h0qVLWFpaQmFhIS5duoSysjKU\nl5fjJz/5iXB9NRoNqqurYTQa0dfXh1OnTmF+fh4Gg0H+frPZLLYALNr09Kirq4PP50NHR4eoX0nR\nJKf93r176Ovrg0qlgsPhgEKhwOTkJJ588kmYzWZRBrJDGBkZgdlsxtzcHKLRqETiscsYHx+XfUUk\nEsFPfvITsUkuLCwU7/aKigpR3NFioqKiAhsbG6iqqpLwBboaUqiRTCaxtLSEUCgEi8WCZDKJS5cu\nQa1WizlVQ0MDampqMDw8jL6+PphMJmQyGZw8eRLHjx9HS0uLCImWlpbw1FNP4b333sP4+DieeOIJ\nTExM4MaNG4/MqoA7k4qKCrF8NZlMknRFzJ14MuGW4eFhSaI6ePCgdP78eZrEMeSCRYiQDrBPgWXk\nHBd1xMQJcxD3rf1l2tny8jIMBgNcLpeI6NjBBgIBlJSUCNuGy9vq6mo5VABIjiyVo+yO6THDKV2p\nVIoOgrAKAPkMyJ3nfoaLS3rfc7LjZ5Jr0sYCT1EXobLV1VXh/JO2GggEkE6npei7XK6HtAu5Sl2q\ng3d2duSeIgRDZg53DrSQoALd6/UKnMOdBe/zWCyGtbU12Gw21NXVQa/XS7QhD1W/34+1tTWx62YG\nr8Fg+FT35CPp4L/4xS++zhsxlUrh/PnzIgp58OABvve97yGdTmNoaAjZbBbnz5/HoUOHhG/tcrlk\nadTb24udnR057WgbzLxUSuWJ22WzWXzlK19BUVER/H4/8vLycOfOHeHGNjc3o7KyEi+++CJee+01\ncZtraWmBWq1GNpvF0NAQ6urqcO3aNdy/f19ET+xya38ZkBCJRGA0GsUY6vbt29BqtWIOZbPZUF9f\nj1dffRWZTAbV1dXCk9ZoNMIW0el0spz56KOP8Pbbb8Pn80GtVmN0dFS48BUVFSgqKhJzsGQyid7e\nXjFDS6fTWFxclA5fo9HgzTffRDAYxMWLF8Wa+Mc//jEcDgc8Hg/u3LmDaDSK1dVVCbPmIm9hYQG1\nvzQ329jYwMcffyweI8Qw//3f/x1erxd6vR6XLl3C1tYWnnnmGSgUCly4cEH0DUVFRXA6nTAYDPjO\nd74jmOhrr72GxsZGCbGgwIkLrLy8PAQCAbjdbmQyGbGZ+DRdzv/W9dhjj71eXl4uft+ZTEb2A7u7\nu/D5fEgmk9BoNKJs5D5odXVVqLv5+fmSfUBSAC2qSSukGId0xIKCArF/IEc9FAphc3MTdXV14p1e\nW1uLr3zlK0KvZOQhP1syazweD9bW1oRxQt8Uu90ueDzTzyKRiBjnaTQaiZKsrq4WZ1Di3eyOSW8s\nLNwPxfZ4PBgfH8fo6Ch8Ph9CoZB0zOSc0zxtaWkJs7OzCIfDYkI4Pz+PSCSC+fl5ZDIZjI6O4u7d\nu/B4PIhEItja2oLH48HIyAh2dnYwNzcnkZl0PE0mk0gmk2KNQt5+OByGx+NBMpkUA7Hp6Wn5nRMT\nExLMQ6aXz+d7aM/gdrths9nQ2NgoKtmuri60tbWJZTi1CoTtNjc3sbCwIJoGtVoNu92O0dHRX/ve\nzvv/8ob/f7va29v3rFYrdDodstms2PZ2dnaKEIZmW08//TQGBwexsLAAm82Ge/fu4fjx44jFYigp\nKcHVq1ehVCpx6tQpMSfiYo78aavVis3NTczPz2NlZQV/8zd/I66HLS0tuHz5stCttra2MDExgWQy\niTt37uDcuXNiBby8vIy5uTkcPHgQs7Ozwrt/7LHHEAqF8PWvfx1FRUXS1VKh19LSgrKyMrFF6Ojo\nwMjICFpbWxEOhxGPx6HT6TAzMyNYHADpkGdmZpBIJFBVVYXh4WFRbtK6eHZ2FnNzc6JWpO3A7u4u\nmpqaEAgEYDAYkEql4HA4JOR8dXUVoVAIBQUFCIfD+PKXv4zr169DrVZjZGQEqVQKra2t4vJJEU8w\nGERLS4vYCtTX18vhRsHT3NwcnE6nHHyEbpqamtDU1ITZ2VkJfgiFQjCZTKirq4NCoUB7eztKS0sx\nPT0tHSiNxeLxOEZHR6WTyWQy+O53vysCFZfLhfn5eYyOjn7m9/YLL7ywV1FRIewIdt+c8ih2oiSe\noqLcxd/KyorcO8TmSSelOyIVoaT1KRT7Qd8vvfQSnE6n2P/S84RK7Vu3bmFpaemhRR99jtjtshMG\nALPZLMZhpBLTHmBlZUWWoxScUd/C5eHKyoocbixc7Nj53PNg40RBEdD6+rpg2oR/gF/ZO3CPwM+I\nYiH+d+5iioqKcOjQIcTjcQSDwYeYZQCEKaRQKERUx2aK1gtsELkoJ7WRS21i+Xq9Hi6XS9xDCW/S\n58lqtaK2tlYotKurq6itrZWEKFpM7O3tZyBPTU3h4sWL8juam5tRUFCAH//4x7/2vf1IOni32/16\nIpHA0NDQQykrSqUS165dkxOWieTsdsgu6e7uxo9+9CNYLBbU1NRga2sLk5OT6OzshMPhQG9vL2pq\nalBXV4dkMolgMIjx8XHYbDbEYjHs7u4ikUigv78fP/vZzyQfdHl5GcXFxbh06RKAfYyS4yZly5Q/\nt7W1yTKFZmKZTEY69+npaZw8eRLxeByvvvqqKNNKSkqg1+tlocoROJvN4vDhw5ifn4fT6cTExISE\nZoyMjMhyikwFHhikT3LTXltbi7m5Ofh8PtTW1greWF5eLqrhra0tPHjwQJaws7OzOHDgAI4cOYJb\nt26huLhYgiQo7DCbzWhubsbFixexvr4OjUaD1dVV4eiTWppIJCRqjI6ai4uLmJmZgcVikfATu90O\ng8GA27dvS+oRww7OnTsHpVIp6Vg1NTXipe12u9Hd3Q273Y65uTmJFSSrx+VyYW5uDslk8jPv4C0W\ny+sUfYXDYREKsfGIRqNIp9OIRqMCM4VCoYei/MiW4QHAhSwZTFQqA3gIu6ZFMHnoNBdj6tfm5iZ8\nPp8IcFhkqfYkfZCcc4qI8vP3M0HZjHEHoFarYTKZYDabJVCEh1s2mxWqJ58Z/t30ZUkkEohGo0IB\n5efBhXEmk0EymUQmk5Elai4FVKFQiHc+71H+/2Sm5NI72ZFzSUm8nQtWLpKpWl1aWhJRF90iyaTh\nHoCfK/8pKChAdXU1TCYTioqKhCJLy+bS0lLxg2I2K4NeGCxSXFz8UA51JBIR4ZnRaMTe3h6mpqZ+\nszF4cr8bGxsRj8eRSCSg1+uRTqeFQqZWq0UsQNc78uLv378Ph8OBbDYrjpKERa5du4aenh6EQiGh\n2nV3d8NgMAgm9rOf/Qxf/OIXYTAYJFeV0m+lUinwxMmTJ8X2lcKUTCaDiYkJtLa2Ynx8HBsbG2hs\nbBRRyfDwMFpbW3Hu3Dmsrq7iO9/5DlZWVuQmtlqtstThz1dUVKC5uRnnz5+HWq3G+fPnMT8/j+Li\nYly/fh2PPfYYEokErl27JipJjpfl5eWSsES/mfb2diiVSjx48ACnT59+yByMRYT2w6Ojo6itrUVd\nXR0uX74suGssFkNtbS1mZ2dl5L937574AQ0NDSGTyaCurg6RSERMmBgpRiUt4RSO+4uLizhy5AgU\nCgX6+/tRXV0tegZ6lvT19cFoNCIWi+HAgQNiFz01NQUAInWnOVw2mxUYZ2FhAd/85jfxJ3/yJ5/5\nfV1aWiq0VzIjWICTyaSEhNNrhJ0vCzY53cTL2U1zUUeWDGmy5eXl8nlzzxIMBqWr5tKSxYjsD2a4\n0qEwnU6LtwzNwWggxomQiU3UUJCvTYYKXwMLbCaTkUKcuxuIxWKyWKbUPxceWl9fFysMkgFIF+V7\npS8+fz8FR2TfkLtOawcuX3MXnmT20N+dnxMPE3LZCQ3m+sGQrcO/k2wk2gmQ488lK504SXPkz+h0\nOlgsFplk+fppG81dHAARUjL3+Ne9HkmBLykpEWUmsA+hABABhFqtliR0ADhz5gzOnz8vJldUVw4N\nDUGlUolS0mg0oqSkBIODg5IAdOzYMaTTaVgsFkxPT4uys7q6GgDg9XqRSqXE42FychIABK+vqamR\nG5Ud7m/91m/h4MGDyM/Px9mzZyVM2mQyyRJmZmYGTU1NmJmZEVHRwYMHUVRUBI/Hg62tLeh0OnR0\ndKClpQUfffQRTCYTPv74Y+mICgsLYTKZ4PF4cPz4cQQCAQwODkp329LSgvv378t7J/ef/iYnTpzA\n2NgYlpaWYLPZxODt5s2b0Gq1aGpqEjYD6YZNTU14//33sb6+jvz8fAlF9ng8aG5uRmFhIaanp9HR\n0YEHDx4gGo3CYrGgsrISPp9PaHIUftEy+Pnnn5dFXjAYhMfjQWNjI+7cuSNWFG+++Sb+7M/+DIWF\nhQLB0Nfnxo0bcDqdeOutt3D69GkZ3Xd3d4WiOjExAavV+siWrPRr+Z8X6YSED3JDOdipUxjDbpQw\nA4sn6Xq0tqbMnSEa7BRVKpWEsTN+UavVilspIQ1SCAkZ7e7uoqKiAnV1dQAgxnvA/qRgt9ulWPPe\n4Oti10trbE6TtOKlBcD8/LzAQ5xIaI3s8XiEQkx++c7OjrzH/Px8icVkyDXpxlyG8rUwMYmfJT9D\nHj68b1h8l5eXhSDAZz2VSj10qPDA5PTMhanJZILFYhGoNRgMytRElhsAaehooUya5dLSkgTB8Hcz\nDQvYRzWSyaTcH7kL6l/neiQFXq1WY25uTsj85OJaLBbcuXNH8KhgMIjq6mpMTk6iqakJmUwGs7Oz\nqKys/H+wDphV6XQ6JTiDUnmqwUpLS6FUKqU4ELfmzVpUtB9QzYPnxIkTIvygZ8ozzzyDgoICHD9+\nHIWFhTh06JDQIV0uF7xeL5RKJQ4cOIBsNisnLq0L+vv70dbWhqtXr6Kurg5arRbvvPOOeIDU1dU9\nJGJqaWmRYGomYG1tbcHhcCAWi0nIbyQSERm53+9HQ0ODCE5KS0sRi8VQWFiI+fl56HQ6NDU1yQIw\nPz8fTqcTNpsN//Iv/wK9Xg+LxYKVlRURsZDJ1NDQINL6AwcOiBqRdsu5o7Rer8ehQ4fQ3NyMnp4e\njI2N4caNG5iamkIgEIDP5xMRkNfrFfvZnZ0dpFIpFBYWor+/X5ZrCoUCX/ziF0UYcuvWLXR3dyMe\njyMcDsNgMMDpdGJkZORR3NYoKSkRy1hyp1kYyP6gKI0dISX6ZDtRNUlbC/45HgwApCDz72aRJ6uE\nGam5bA8WPzJ66PFeUFAAi8UiHHUK9XIzSnOphCzKxKfpr8IOlNAC/0wudk7qIN8fIRDCsOzW+TO5\n/jZ8RnlIsXOneyR3GDwMOIny8+R0RKyedEz+GUJJZN/kmn/x8+bvI5pAdhOnUMJsfP0UOfF9kFFD\n7xxSSVnQKZiikySX0nl5eVhdXRU21Ke5HkmBf/XVV3Hv3j20traKGdHCwgL29vbQ3NwsBlYHDhyQ\nhJShoSEcPXpUvDRaW1tFhmy1WhGNRnH27Fm89957OHbsGIaGhmA0GoUBY7fbsba2hvfffx/f/va3\ncf78ebS0tMiXNDk5idLSUpw+fRpDQ0NQKBR44oknEAgEUFlZKbmg/HIDgYAUOlLGAoGAwEujo6Pi\nh8EHjvF5fr9fbloyeOx2O0KhEKamptDb24vKykrY7Xb09/djfX0dY2NjgqMrFAqMj4+jpKRE4B92\nB06nE1evXkUoFILZbEY8HofT6YTdbscnn3yCjY0NJJNJ1NXV4ZNPPhG8fHl5Gb29vXj88cdFJUr7\n0snJSfzVX/2VSNsHBgYQDoelM7Xb7XA4HLh79y6qq6sxPz8vExG7rkuXLqG8vBzT09Oora3FqVOn\ncPPmzYdEJAqFAvF4HMePH8edO3fQ3t6OUCgEYL+TX1paEl2Cx+NBfn4+3n77bVRWVuLo0aMYGBgQ\nH+1HcVmtVkm14vvJPXgZGpFrJLWxsSHipXg8Lr4n9CypqqpCbW2tLBapJyDsUVtbK55NhGzIcMkt\njDTBUygUaGxsxLFjx4SDTqiDQjpi+owA1Ol0YnfL5Sn3VYSMlpeXJa+U3TVVsMB+90x7ZL7GcDgs\nkwfhKE5BLIrAr8zJqIZlU8ZCTjiIhyT57TzQCP0ajUZsb29LoEhhYSHcbjfsdrv4sHORTZdMWkRs\nb29LEpRCoUBNTY0ccHRW5WEHQCA5QkX8LvLy8kS1TtiMnxWhu2AwKJPM+vq62LMsLi7CaDR+qnvy\nkRT4EydO4NChQwiFQtDr9RgZGcGZM2cklFmr1UKlUsFms2FhYUHoYAxqfuONN5BKpfC1r30Nq6ur\nGBwcxGuvvYaSkhKcPXsWy8vLOH36NAAIVk8sP51O47333hN61ubmJl566SU8+eSTUCgUWFpagsvl\nkoXPsWPHpHP1+XxYXl5GaWmpLERVKhVu3ryJmpoasRS4e/cugH2smLQ9wjIqlQrz8/MoKyvD4OCg\niIzogbO8vAybzYYHDx6gv78fWq0WFosFWq0WS0tLGB0dhcVigdVqFYYEABF/DA0Nic6A0V8c8555\n5hl5bXyA7HY7xsfHxes9Go2ivb0dd+7cgcvlwu7urpiqhcNhDAwMCA2QNzTH8wMHDqC/vx8AhIfd\n0dGBmpoaFBQU4NixY5iamhKGRDQalTBlMoO8Xq9MLqWlpXjjjTfw6quv4u7du2Kf4Pf7pdNnzNrM\nzAwASHjMo7jq6upw8OBB6SgBSGemVCoFv6VNL60H2JFOT08jGo2KB4tCoUBXVxe6urqkeHHhv7Oz\n81CHz4xe6kbo9U7jqr29PYyPj2Nvbw96vR5OpxMARLdAW9rKykqBk2iwReUsnUQpliopKXmIrsmF\nMA85QiykLhKOiEQiiEajUvx2d3elUWFhBiA+OtwHcCELQJbAhHB4SPGZpklXKpUCAOn0WeipAm5p\naUFlZaVE5QEQrxsW5twdAwBZ6FPbQBYMmzcW/t3dXUmMSyaTEixCosTQ0BAAIJ1OI5VKIZFIiPkb\nl/PU9FD/kGsB8etcj6TAc1RtamqSDzIUCmFlZQVnzpzB2NiYcEnX19fhcrng8/nQ29sLl8slS8A3\n33wTX/jCF6TbJLPCYDBgaWlJAkOy2aywQv7iL/4CdrsdNTU10Ov1GBgYkE27z+eD1+vF1atXpTDf\nuHEDDocDCwsL4iL54osvIpFIoKamBlNTUyKy2dnZwYcffijeLrW/dGik0jAWi0n6OkVd09PTqK6u\nxocffihwkNfrRU1NDdLpNG7cuCHe87RrGB4ehl6vF051a2srdDqduM8xa3VxcREOhwNerxcqlQp3\n7tzBE088IcZQkUgEzc3N2NnZwcTEhCh+PR4PFXM4ffo0YrGYMHTGxsZkQeTxeFBSUgKr1Yrh4WGU\nlJTgyJEjDwV/PPXUU9Dr9VhYWEB+fj5+//d/H2+88YZAPlarFX6/X2wKaBLHh4lCj52d/aCWixcv\nwmKxwOPxoLu7WwrMxsaGZN4+qosJRsTWs9msvJdcpgvHcNJOuZwkkyL3/VPcQ4k8swUUCgUqKiqE\nTUL3R3oP0dclP38/0Hx5eVlEdYQTSF+kypNwIhegucWdATikHtKOIReK4CRLu4CtrS0JreHhQNVu\nrn1wriEX3UQBSGHlYUIWEYsevXVIXQQgr5cQGB0qc71ctFqtZN/yEKGwiZAW9yS5y1kua8ncoTEZ\nl9bhcBhjY2PCJAIg3w9fO5e32WwWfr8fxcXFAseFw2HZHQAQ2Il0W/LhP831SAr85OQkNBqNLJe0\nWi3W1tZQX1+PwsJC1NbWSsHm0rKlpQVVVVVQKpVwu934y7/8SzQ1NeHDDz+UQtrc3IzR0VHhnNbU\n1AiGdffuXQnYpXr1nXfewZe+9CUMDAwI++SDDz6QCL50Og2Hw4GamhrMzs5iamoKdrsdU1NTcLvd\nuHDhAvr7++UGefrpp3Hx4kUJzOVyc3V1FVeuXMGRI0eETkYRxdTUFDweD+7duydj3uTkJIqLi+Fw\nOPDYY48JVu71elFcXIzGxkYRSq2srCCRSEgEmsFgwL1796uTFckAACAASURBVGAymdDR0YHZ2VmB\nsBKJBB48eACfz4fDhw8LS4kdSDqdRkVFBfr7+2E0GnH27FmxgvjBD34AjUaDsbEx1NfXI5PJIJPJ\nwGAwIBKJyOLXarVCpVLh1KlTQnl99913cfr0aWxvb+P+/fsy6mazWczPzwOAJA9FIhEMDg7CYrHg\n3r170Gq1+PjjjyUrlPS/7u5uhEIhzMzMwGg04sSJE7Lo+rSxZv9bFztU+n2TOZHbhVJurtPpZJFP\n5S+9/mk3kUwmUVlZKfsbYL+rZUfOfcz6+rqYdBUVFWF0dFS6SwDiSEnobXFxUbjVy8vLmJmZETiB\nnbjH4xF2Dxek9DEiI21vb0+66vLycsGqmYW6sbGB8fFxBAIB2csQTuE9wGKca9jF4prLzOIOZmtr\nS4RZ5KrTnZGFkUp0TgM8qIjJ19XVobS0FKurq5iYmIBSqUQoFBKOPCdSHiS7u7uiRLVYLPK90XKE\nQi4uuLkb4ffFK5VKYWhoCJubm+IuGovFAECU3rSg4ITHv5cQHqekX/d6JAU+mUyKfJcWuA6HA9XV\n1ejt7cVzzz0nNK6NjQ24XC709fXB7XYjGAyip6dH6HOHDx/G9evXYbFYxLeGUuXx8XGRQTc1NUGj\n0Uj24/r6Os6fP4+zZ89id3fft318fFyolQztKC4uxs2bN/H+++9DrVZjYmICGo1GCjkxvvb2drz3\n3ntwuVzweDwS4vHTn/4U7e3tcLlcmJmZQVFRETo6OrC+vo4f/vCHWF9fl2lCr9fj/PnzUKlUSCQS\ncDqdyGQyokh0OBxIpVIyjuaaEZGJ0NDQIJYOdNg8f/48amtrYTabRe3r9Xqh1WolXYldnEajQV1d\nHcbHx/G9730PVVVVyGQyaG5uRiAQkJCR2tpaWCwW8cBWKpX4xS9+ge985zt44okn5AYmFTUcDmN2\ndhZf/vKX8corryCbzcJmsyGVSj2UUE/HzgcPHkjBT6fT6OnpEWMpdsDz8/NQq9UiCmJx54P+WV8U\n3lCskuuXsra2Bq1WK50uxUosmgBEI0EWCbnpnHJzHRKJ4xcUFIi6lc6JDLAg/ZGiH/rd0MBrbW0N\nHo8Hw8PD2N7eRjAYxOjoqBxIpHCurKwglUqhoqICm5v7GbCM7isrKxO2D9/P7OysYPZk3RA6IW2U\n3xHtPXKptHy/5Khvb28jkUjIgpIFlkIxTkzs1LkX4EVxGP/77Oys7JNyHUC5HNbpdFhZWRH74Jqa\nGhw6dEh8qDQajSjEc78nuj/yMKLimK6bTMMiLXJ+fl52dFSWkz3ExpSUU5qsfdp7W/G/cWN/2uvJ\nJ5/EwsIClEolWltboVQqceLECdy8eRP19fX46KOP4PF4JDGIaj/aGVy8eBF5eXn4+OOPEQqFMD8/\nD4/HA5/PB39OticA8Vje29tDIBBARUUFGhoakE6n4Xa7MTExIZ416XQahw4dEt+KpaUl5OfnI5lM\nQq/XSyHkkpXWAGazGXfu3BG17NmzZ0UpCuzvHEjlamhogEKhwFtvvSXik2vXrmFubg537twRL+q1\ntTVcuXJFJOu8sYqLi3Hv3j3xKtHpdDKCUyBSW1srylxG5zFAg9ALMcPCwkJUVFTIw+z1epFMJuFy\nudDR0YFEIiHLZbVaLQsgAMI22NnZgdvtRjgcxvPPP4979+6hq6sLGo0G//qv/wq3241EIoHPf/7z\nWFxchMlkEr9vCsxGR0exvLyMvr4+BAIBFBcXSydYVlYGj8eDvLw8LCwsyPvQaDRobGxEWVkZIpEI\nnE6ncMsfxUWBD9kmhCPYdZGRQQ8TQhPsnOmoyMKYyWQk5YneM+xuaQeR65KYSCSwsLDwkMyeYr1c\nuh+ziOldn0spZPA6C1M6nRaFJTtTNl6cOgj5xGIxzM/Piw2A3++XcBm+Xy4PycLhVMOf4YTDQ46Q\nBJW2xMR5AOTn58uf5VTBi9ARMXWyYnhg5eLbPBByDcsKCgrgdrvR2dkJg8EgIiTm3+ZCL/weKNii\nsyj/TT8ZunouLCzIc8TDBYBAQvxcc03YOL19muuRdPBOp1PS01OpFGprazE1NYXa2lr4/X7U1dXh\n5s2bePHFF2WpoNFoMD4+js3NTVRVVWFychI2mw3vv/8+JiYmoFKp8NWvflU6YnZ4CwsLuHfvHtbX\n1zE4OCgm+nwIstks/uIv/kJChoeHh8Xt78KFC8LnVavVwgjZ2dnBkSNHZHHC0OtEIgGFQiHWAZlM\nBk1NTZiYmEBBQQFGRkbEvVKv1yMcDkuB297eRlVVFa5du4auri4sLCzA5XKJ+IdxdUVFRWhpaQEA\nTE9Po66uTlRz6XQaZrMZly9fRmtrq8AtzzzzDEZGRqSDoLd7R0eHjOjt7e3o7e0VGIzjq9FoRCQS\nERsE0iGz2Sy6u7tx//59WCwW/Omf/ilGRkbw2GOP4Qc/+AFef/11wZ0XFhZw8+ZNbGxs4MqVK1Cr\n1YhEIqitrUUsFoPVakVTUxP8fj/sdju2t7fxwQcfwO12Y2lpSfzQW1pasLOzIxa0VqsV/f39MBgM\nYmtMIdGjuOgBxKUhcV52cywCLNB05eQ/NNyi0poTX3d3t4hpGKSxt7eH1dVVEQcRMyc+TIvrjo4O\ngTnZsc7NzeHq1atyYFByType7rKSdD0WVP4+lUoFnU4namzuT9bX1x+yxOa/cznonGDoEJlIJJBM\nJuVZy+2IyTTa3t6WxTonRtotEL7iBJEbg0gKKt8nlelkK1FTwKmHAiY2NC+++CKqqqqwsLCA8vJy\nTExMIBwOQ6vVYmFhQf4eZj7wKisrE3YUD3wqvZlZQUEbF+25YS7cIeRCNXl5eTCZTJ/qnnwkT8LM\nzAzS6TSWl5ext7eH+vp6WT66XC5oNBq43W75eeKFOp1ODoTa2lpEo1HY7XZcuXIF4XAYf/u3fyvd\n0NLSEurr65GXlwePxyObc5r6UN2ZSqVw69YtZLNZXL58WYIy7ty5I92qVquVQ4Mc/WQyCbvdjsXF\nRWi1WgwPD+PQoUOYnZ2FRqMRmObOnTuYmZkRm9Vr167JrmBvbw9dXV0YHh4Wk6Pt7W2xK2hpaYHX\n68X6+rpk0ba1tQnNS6PRYHh4GB0dHcjLy0NTUxNOnTolFq9KpRI2mw2XLl3C8ePHxfrA5/Ohrq4O\nY2NjMqpGIhG0tbVhcHAQ3/jGN/Bf//VfEnwC7LORAoGA2BTzITx69ChKSkokDu6dd97B0tISysvL\nMTk5Cb1ej5qaGrz88svo7e2FQqGAz+eD1WrFqVOnsLq6Cr/fj5WVFQl4yGazMJlM4l8SiUTEXMxk\nMiEvLw9ra2tiP0H44vjx4yJce1QXRTY0UMtdjHEhSChFrVbLBESIgZ/r3t4e5ubmxMqA31Nu50nc\nnLx0Co3W1tbEQItceOogCHmQlszngFJ/Mk24GGZhzp1oCRtQur+4uCj5CbTkYFFmYhSXzpWVlQIB\nhcNhwfnpxEk7Xv4MF5/kqdMyIFf0Q4yawiWyfCgYI3a/u/sr693d3V2kUil53hOJhHzGZrNZsiIy\nmYx49adSKWEdAZAmY3f3V7GDnEJoWkgK6eDgoCxyeZiXlpaKSyvplYRoeDBSjQtAvttPcz2SAj8x\nMQGLxYJoNAqn04nR0VG0t7eLSvLQoUPSRTx48ABPPPEEVlZWUFVVBYViPw/029/+NoqLi9HT04PB\nwUF0dHQgnU6jpqZGFJNjY2OCMdtsNsHLuWD9whe+gGvXrskD2N3djZ/+9KdiD1xUVISmpib4fD7s\n7u6KQVBzczNqamqwu7uL+vp6TE5OoqenR/itfX19sFqt8ru4iOKBQjyzuroaFy9ehMvlgk6nk84W\n2N/0f/TRR4LPzs3Nobq6WhzviouLxZvG6/XCYrEgFovhjTfeQGdnJ+bm5oSed/jwYfh8PhlpW1tb\npaDS/Y5Ypk6nk1xMk8mERCIhegQak3Fx/K1vfQs//vGPsbm5iY6ODvT19ckDOzc3h6amJqysrGB6\neho2mw09PT2yfFtYWBDrAbvdDrvdjqtXrwoOz2i548ePw2w2Y2JiAv5fRiRubGzIcpehKUzd4sH1\nKK7FxUUsLi4KzY3cZi7JaaTFMd1kMmFpaUkKA91NCwsLBZJYWlrC1NQUysvLBQIghEH3Sdoxk7HB\nThDYx/VpNcyFLDnkhCIJ5zBViAU6V2pPCIH2C4TQCHGwyydGTHiBWDItgxnukUs55GdDlkluFB+7\na75m5hHwf8sVEvH+ZreuVqsB4CG6Ip8xHlyMweOCleQGfgZUtEajUXm/5Kez4NKeO5VKyT6BVtzc\nG+RCjowC5HvgP2Te8HMkC4v7DU5tn+Z6JAV+Y2MD3/3ud+XLW15exn//938jHA7jwIED+MUvfgGn\n0wmNRoOJiQl88MEHqKioQDqdRjAYhN/vx5kzZ8Tq88yZM7h8+bIUPaoDaRFcWVmJCxcuiByZCz3i\n29/97ndRUFCA9vZ2eDweFBQUoLOzU3JR9/b24PF4JDounU5jfHxcTnpG4dXX12Nzc1P8W7a2tsQH\nnvRNmmH19PQgGo3iiSeewPDwsEwviUQC7e3t8rATc9vZ2YHJZBIBUzAYlPCQqqoqUdmxw2VXQ6yW\nzo6Egrxer/iAGwwGWTCpVCoEg0Go1Wr09fVBp9Oht7cXTU1N6OnpwbVr1/DHf/zHePrpp/Huu+/C\n6/WipaUFf/d3f4dIJCJhFW1tbVIkPv74Y7S3t+OVV16RqWtqagomk0kw9v/8z/8UFW51dTUymQwA\nCHSXzWah0+mkY52ZmUFra6s4f3KRlUwmH8UtDWBf6JYLJRDL5iJUrVaLQRgXgrnhErS3Lisrg8Fg\nEMiGXP+ysjIx1CK9MReX1ul00jED+43UzMwMXn75ZWxubiKRSEgnTFyXzB/y1skayaXjcTdAuIAF\niNg8o+x4uJM6mQvH5CpqiXdzF5EbTwdAMHB2wyz6uUtsHp65WDwXpqQVklLJg4GukWQhcZlKuIgp\nYyaTCZ988glWVlYwMzMjQSuEVRjqwZ1bT0+P0FdpBc3fsbe3J6HmFD6yUFNcRh8rfh58r8ThSfYA\n8KkL/CNxk3Q6na87HA4Eg0GkUinhvpaWluL+/ftQKBS4evWqhAj09/ejvLwcb731FhwOB8rKyhCP\nx7G+vo6zZ8/C6/ViaWkJCwsLklxDOIc3GClbwP4N9PTTT+Pjjz8WxopWq8Uf/dEf4ebNm1haWkJJ\nSQk6OzvxwQcfQKPRiKiEGDR52bTPXVxclMVRZ2cndnZ24HK5YLPZEAqFRHBCoRQpgvF4XEIRFIr9\n8GR+mXq9HqFQCG1tbUIBJIPh2LFjyGQyAm8AgM/ng1arBdOyKPIitsgbJZPJSNhxVVUV/H6/JPrs\n7e2huLgY0WgULpcL29vbqK+vh8PhgE6nw7PPPitK1Ww2iw8//FDwydraWmxubspOhbgis1VVKhUm\nJycxMjKCmpoaWU5duHABLpcLk5OTMBqNSKVSQo1jV7exsSGFxG63S3hDZ2cnCgoKEI1Gsbe3h2PH\njhF+eCSJTjqdThKuCGUxXzQWiyEQCGBxcRHxeFyYWhQCkUa4urqKqqoqUXpGIhFJFiJEQMwdgPCo\nGZMXi8Vkv5XNZtHV1SX3B4M3qAglLEMvl/z8fOGrr62tCSREjxcqPHkwEWrN5Y/TgRGACI7YoXKJ\nyMOATBG6OZI5w3uRDCAuP9m0kIJKRSgPLHbXPHByDdx4QHDa4eK5sLAQNpsNDocDlZWVErtJm461\ntTUJtaESnMtcjUaDnp4eOYx5vy8uLmJpaUlovYuLizJZ5cJOnGhzCQU8+MmsYTfP1xqLxX7te/uR\nsGju378v//fGxgY8Hg+2t7cxMTEhWC9l+kw/uXz5sihbaTVKSf7169dllGInQ4pkRUUFrl69KlzV\nqakpVFRU4PLly9jd3YXf75cvYXR0FCqVCl1dXVhfX8fExATa29uFLeN0OuF2uxGNRkXavLi4CLfb\njcbGRnR3d2NjYz+f1WQyYWFhARcuXBAe/tjYGB5//HGUlpaKfajb7ZadAMUUgUBAeLo8IEpKSuBw\nOASP7evrg9/vR35+Prq6uqRIGwwGdHV1YXFxUczY+LCvr69L6HNBQYGwWI4dOyYPB/1E8vLy4PV6\nsb29jVgshsHBQZSUlAjHnjoBm82G2l9GD9psNoGkiB+vra0JrMLph9bL09PTuH79Ojo6OkQ5G4vF\nhCVhNptRW1uLkpIS7O7uQq/XQ61WY3Z2FiUlJdBqtXKI7+3twWq14vbt24+MRQNA7kFiwiwELN5k\nqdDnJxqNIhaLyQFOCI/KTha1dDot/3skEhE8eHFxUXYVuVFyLNAsmpTUc7ojJJLrwULOdm7h3Nra\nglqtfshCmLss3i/0jeFylVBHriCKMEuubzsneHb6XDBzucvXRsVsLsavVqvlNdN5lu+RsFNhYSHU\narXAOJzquVMgLs+kMgDS/RMK4hRAHJ/vlY6TGxsbsjhlMwJA/HnYpJDRlPs9EM7h/Z5Lk+SSlcIo\nAOIm+mmuR9LB/8Ef/MHrFRUVGBwcRGFhIRoaGjA9PQ2TyQSv1yunHSPbaKSkUqkwNDQEh8Mhwcot\nLS24evWqSN55artcLoyNjWF4eBjl5eWYm5sTZsrU1JRI5WmLYLVa8bnPfQ5TU1MIhUKoq6sTfFul\nUqGtrU2sgDkRlJeXw+12o7q6GisrK5iYmIDJZML58+fFf4WBuVzSxuNxABCPe96IWq0WFRUVYl06\nMDCApqYmAPvZtA6HAz6fT8bDrq4uBAIBNDY2Ynh4GIcPH0Z+fj5mZmYk1YfLtfLyckSjUdTX18vC\nlq54ZWVl8Hq9kkBUXFyMI0eOCBSQzWYlS1KhUODw4cPQ6XSoqqqS5drMzIx4zV+/fl348gcOHMDI\nyAisVquEenC6Wltbw9GjR6XDq6qqEo62TqeDRqMR7/L29nZsbGwgHo+LSRPpqy0tLfD7/aLkzZnY\nPvMO/siRI69TRc2HnV0tfWiIV/MfFur19XUpaoxtjMfjiEajUmB4bzN9iMvOdDoNg8GA/Px8eL1e\nhEIhKRzl5eVobm4We4jS0lLU1dUJZs5izsLB4q1QKMQqmIUpk8nIgp++87zImNrZ2Y/2Y4edS09k\n80Acem1tTRaWLL4MdgcglhiEXohVs+htbW0JrZIL5P/JIechCUBCvsl242ekUqnElI/LZR6yZMps\nb28jGo0KbLSxsfGQMIrTFl8f1cg8GAgzEcPnoVVYWCiKXlJhAYiHD5s+fkZOpxM+n+832w+elrnH\njh3DgwcPxN+EYxuFDF6vVz7MlpYWKBQKjI2NYWZmRoJpKaShb4Zer5fUo7KyMpSUlCAej8NsNuO5\n554T835Kit1uNzweD3Z3d+XvCYfDcLvdwrPW6XR4//33YTQaMTU1JV/CxsYGpqenBQ93OBzY29uD\n0WjE2NgYuru7cfPmTRw5cgS9vb145ZVXEA6HMTQ0BJvNBq1WKzcWQ66J9VP+39DQIAvkTCYjo7vP\n54PT6UQ6nYZWq8XExIQImRKJhAjC8vLyoNPpYDQaEQqFoFKpJNy6r68PGxsbsNvtSCaTIl5i186b\ndHV1FXa7HRUVFRgfHxdR1NGjR4WpNDY2hhdeeAGlpaUYGhoS10G9Xi8Ckbfeegtut1u6eY/Hg7Gx\nMZw8eRJra2uYm5sTWI5FraOjAzdv3oTVaoXNZpOxPS8vDw0NDRgaGhIePL8/Ulo/60uv1wv7Jy8v\nD5OTk1K4uBeiApP/nd0imxjmmhLSyBX7sDiwuyMbg0UilUpJHB6LXlVVlWQaGAwGaDQaAJDAb4ro\nCMMQziN/mzgyGS5k2+RS+srKyoSOSOoh3xcLIu8jWu5ubGyI/xEPBC5mc3cAxNT5nXOvRgYSC3Wu\nTzsPKEbj5bo1kkbJ11BaWirU0MXFRTmUOTkAkDhCAA9NHyqVCisrK+jv70dxcTGam5sFOyfLiP76\nXG7v7OxIwAinHu49qHHgocDDnq+ZB9ynuR4JRLOzs4OjR49Co9HAarUik8lI4g1d6WKxmHQ1y8vL\nGBkZkQVpfX09AoGA8LHr6uqwsLAg0l8Kcygd3t3dhcFgwKVLl2A0GhGPx0VpOTc3B7VaLSfw1tYW\nTp48KfmoSqUSFy9exOHDh6FWq3H58mUEg0ERCKnVaqhUKlGSzszMYHNzExUVFXjw4AEaGhoQDAbR\n3d2NWCyGlZUVHD16FPn5+RKfxsUsOfgKhQKdnZ0ijfZ6vVKImXk5OjqKRCIhBUGpVGJxcVGKBXMx\nXS4XgsEgSkpKxJt7dnZWsjYLCgrEfz6dTiMUCgnuSKc+ytMdDgc6OzvFy4cOkQwnobiMxk0jIyOI\nRCKyKCPmXldXh9nZWelyx8fHRVDFRVVzc7OIsR5//HHx2eZEQb1BbrdpsVjgdruFDfJZX3wAi4uL\nHwrj4GvMdRckk4QdGpWt/9PYiktbwhd08KRbJIs8YRdgv/ATKqB98dramvj2LC8vP2TJmztRsDPl\n76NYi8WZBSn38CG/nAwaCvIo0iKXnu+fC0jgVyZ5AGSSqKiokNg8Pg+cOPi88b1zqsl1bCSXnYcc\nL36mXMwy75aTBgChNXIi4EHDe5Xvg5MZXxupoNQoEGtnQSZ/v7CwUF4/Dwp+DqSn8nWQxcTXzs/y\nU92Tn+qn/5eugwcPvn779m1UV1cjkUiI4dTy8jIOHDiAxcVFNDQ0iKc4O0neHB6PRzxirFYr7t+/\nL5J2nU4HhWI/oSmZTMpyZGtrC1VVVTCZTEKnU6lUWF9fh8fjgcVigc1mwzvvvIOCggLxTKmsrMS5\nc+dw7do1gYz29vbg8/kkni8SiaCxsRGxWAw1NTXo7e2VsAzy03t7e6HValFbWytqQ9I5uXNYX1+X\nxSh3DTw8nE4nlpeXoVQqRdiUSCRQV1cntLri4mJ0dHSgvb1dAon39vZQWVmJoaEh6PV6lJeXi/GX\nwWCAVqvFzMyMHFiErXjzUSb+13/911hfX8f09DQqKiqwtbUl3OG1tTWxPpifn0dra6tAB4SCmAXb\n0dEBrVaLcDgMAPD7/dBqtbhz5w7S6TS6urpQVFSEgYEBkcLPzc1BqVSKmVxdXR2y2azsDYD9QIWK\nigosLi6SwfKZQzTHjx9/vaysTCCIjY0NxGIxUauyIHKsJ6TA97G5uSmYsc1mExFRNpsVzDk3AIRF\nlXAIdx5kaezt7aGhoQEajQY+n09w/nA4DLVa/VAeAw3CuBzk4pJdNQ9oUiTZqRJKACCUT+LqnOIo\n3wd+5epILJ7+OYSK+B552PAgpIkeizcLHQstXTU3Njaki+fnzM+2sLAQOp0O8XhcIEeXywWn0yn+\n91Sp8yALBAISr0d/HE5gPMgJyzBasqCgQAKLSIvNtXPgLoJTAGsb/Zl4gNCzh8ylvLw8lJeXIxAI\n/Nr39iMp8GfPnn29qKgI09PTiMfjOHDgAOLxOJqbm8X0Jz8/H/F4HJWVldJRkPXhdDoxNjYGg8GA\nV155BRcvXpQuSa/XixzeYrEgFAqJovBLX/oS3n33XfGFCAQCYpj13HPPoaioCPPz87h58yZ2dnbg\n8XgwPT0tRv6pVApHjx6VwkzmDh0X6dOytbUFq9WKiYkJNDQ0CJuiq6tL0p5SqRSefvppye5MpVJi\niUr/dgp+tre3EQgExNzJYrHIQ035OLsLr9eL3t5eaDQaYbcAEF5wJBKRZaXL5UIkEpFJJRAIoKqq\nCj09PbLUzg347uzsxOjoKDo6OrC0tIRPPvkETzzxBJaXl+H3+xGNRmE0GkUw0tjYKNx1GjZ99atf\nxeDgoIhBVldX5SZ2OBzo6+vDzs4OLBYL5ufnceDAAUm25wPOB5AwTa6JVWdnJ4aHhx8Ji6ahoeF1\nmm1x+culPy1i2bETg+Weg5J6FpL29nax8c31tWGBJ/WPEJxSqRSeNhWrJSUlOHToECorKxEIBBAI\nBLC6uorFxUVRPqtUqoe6XhYmKpdLS0sFSsjFvDn9pVIpoT5SuEiIiY6V9IwhW4eURd63ueEeLJaE\nctihszvOjf+j2RoLOhk6xOs56S0vLwvnXaPRIBaLCf7NBSspu5zmmY2bTCaFQszPITcAJBcO6urq\nkvdNKIffKRXZ/K65I+N3ygLPfxOq4QG7vLwsh9Dc3NxvdoF/4YUXXp+ZmRHWBz8M2t8uLi7C5XJJ\neHBHRwfUajW8Xq/AK0xD5yKRWDAXT3q9Xrqj2tpa4R+zC6Sgh3J9er28/fbb6OjoAPArnu7s7Cx+\n+7d/GyMjI4KFFxQUCPRBj4qbN28KxUmlUqG6uhrBYFA6YQC4fv06zGYzzGYz/L9Mm9rY2JDYOzr7\nRSIRdHR0YHx8XMbP3CUOcXrKy5PJpKg6u7u7MTs7C4ViP5iASVNms1lu+tLSUszOzqKlpQUVFRWy\nhKMQpaqqCkNDQ3A6nVAoFDCZTKJCNJlMEspCn5hoNCrQAbt7dt5arVbYS7/zO7+Da9euCYYK7DNM\ntFotpqenJdDEZrMhEAhgbW0NsVgMTU1NiEQiErROfQI/j+XlZfT09MDj8VAF+EgKPL2E2P2S+lZR\nUfFQp0YsnEWG1rMc4ZubmxGPx8Vimn8nCx/hHNpgA5COGYB0fB0dHbJ8TyaTUgjZoWo0mofENMSD\nd3Z2pDEipEKsOxcWoeyfUwoPCk4RtNUls4mvm68j12cndynKYk34hz4sZCnRZZGTEqd7/jm+Xi6y\nAQgMFo1G5TVQ+0HRGSESQlCkr9K+gO+d6mNSgQsLC9He3i4dOB1mCZ1Rn0E2Ty7kwgOC0M7W1haU\nSqVAbZxCeHhFIpHf7AL/8ssvv8508fLycmi1WtmgMyUpLy8Per0era2tAPY/8BdffBGdnZ3Q6XTi\nk/17v/d7GBgYgFKphMlkErtann6jo6MAIErWwcFBtLe3o7KyElarFb/7u7+LgYEBHD16FNPT00JX\n5MhVXFyM+fl5PPfcc+js7ITb7cbAwIC42xUVFQkzHHnbewAAIABJREFUhtahxAlnZmZQUFAAk8mE\neDwu8ALtTsvKyjA/Py97B4/HI7FexOt5QxkMBlkskzIZjUZFKckbk3sKTjEAcPfuXenGFxYWJHTE\n6XRiaGhIbBIOHDjwkBycC1Jy/YmPDgwMoLi4GG1tbdjc3A+gWFtbQ2VlpbB2Kisrodfr5cF2u93i\n7/+FL3wB9fX1mJ2dxb179xAOh6HRaDA1NYWysjIcPHhQUrXI+mE4++bmfubn/Pw8jEaj2BaXlJQI\nhfCX12de4Ds6Ol53OBwoLy9HeXm55J7yniC8wftDp9PBZDKhqalJDt/S0lJJ5orH4yguLkZNTQ2q\nqqqg1WpRWVkphyCl8lS5MsS5tbVVDm6LxSKmYmVlZYJzEyrRarXo6OiQtCNqO+j1wgLMxSOXooRt\n+HNkg3GxSoMtAEKgoCUCRT2kXPKA4dKZvwf4lb0DL05B5MrzMCDkw/fG10g+PpukwsJC2T+xyK6t\nrclyPJPJwG63y5Qbi8VEPUzKaS62T/iETVFbWxvKysqwtLQkRX17e1ssmnM9ZgDI58e0rVwcnruT\nXPjGaDQiHA7/ZrNo6OPMBdLGxgaOHz+Ow4cPQ6/X45//+Z8FyzObzQgEAqiursbc3BxcLpcUcRob\nqVQqLC0tYW9vP/KPhWp6ehqvvPIK2tvbceXKFTQ1NeHcuXNobW2VEdput+Pll1+Gw+HAe++9h1Qq\nhaeeegoGgwF6vV6YMkxvmpubw4kTJ/Dmm2+isbERY2NjcDqdKC4uRjqdluI6PT2NkydPYnBwEOFw\nGCUlJaipqcHY2BjsdrscHHq9Hm1tbQLpDA8PS3ElE4G+8TabDUeOHBHf9WQyibW1NcTjcRiNRsRi\nMRgMBhgMBiQSCaFzdnZ2Cs6p1Wrh8/mg0Whw9epVCSAn0yOVSuH06dPo7e3F9PQ0NBqNLKUWFhbw\n0ksvCVe7srJS7COCwaC87mAwiJqaGtEYsBPS6XT4/ve/j+HhYQAQ5eDdu3fh9XoB7LM76NuTzWbR\n2NgoozO1DAxRJ87LQqpUKqHX61FQUCAH+2d5ERYhRltZWYkDBw4ILnv9+nWBB9n58rNVKBSiTCZz\njNkB3EXQfuB/PkNUa5OJUlJSIjCiwWDAyMiIpGuZzWbxfOcikgXUYDCIwRfDsXOzS/kPCzIXufRS\nIZTCzpksMapUySnPzSalkRytlLk74MFCLvru7q7E1TEFjVBgeXm5dM7s5Nl4kEFEhg0jQAk1cfGs\nUCjgdruFfedwOLC4uIjR0VERhLHxy7X0pYI8Ly9PrDp44HF/tbW1JXnQXMYCv9IG5DpoEvpiZ0/K\nJ/n+uUvjX+d6JAWeHyoVpF/60pdQWVkJtVqNf/qnf0IikcCtW7dw8uRJOdmNRiPa2towNjYGk8kE\nvV4Po9GIu3fv4qWXXkImkxGXxJGRETQ1Ncky5s6dOzh+/Dhu374tnd6DBw9QX1+P73//+zhz5gyU\nSiVGR0dx8uRJlJWVoaWlBWNjY8jPz8fx48cBQAK/V1dXceDAAWxtbaGrqwt9fX1oampCZWUlksmk\nLBCvXbsmfw8ZN8ePH5fTWqHYt+eNxWIYGRlBfn4+jh49ilQqhYWFBRQWFmJmZgZNTU1C3+SD2tvb\ni3A4jBMnTuD+/fvSMS4vL+Pq1avyM11dXfB4PKitrZVwDKb3dHZ2yqKUuKzT6cTu7q5w7MkZbmlp\nwfT0NAKBAFpaWsQobXl5GRMTEzAYDCgvL0coFIJGoxExksViEeOz9fV12Gw2ZLNZPP744wiFQlha\nWkJzczOGh4fhcrkEG97c3MRTTz2FK1euwGq1SqxaPB5HT08PCgsLcfPmTTFhY7JUf3//p2Ya/G9d\nVFFms1nhn1dWVmJ3dxejo6OivuYkRPYL4QkAouXIz9/38udSrrS0VLpUCpqIA1PJytFfqVRiYmJC\nJspEIgFgPx3K5XLJrofdbjgcFkUqRXjszjlZs0izeBIiAX4VhM1inNvll5eXS8g96Z5sJtbX1wWP\nzpXgcwrNpVmSksiCSAUu7X9zu3UmNrE7TyaT4vXE546HVq64y2QySQg87T94aO3s7Ahhg8E4PAzZ\naTOlyWKxoKCgQDzlOb0AEItk2gfze6WlMZfBwK948XQkJZ3101yPpMAz9ot0RnLeOdbE43HBDquq\nqqDX6yWtXafTydg/MTGBjo4OOWWZAtXS0iJdAXmnH330kUTHlZSU4POf/zzMZjOSySSqq6vR39+P\nZ599FmNjY/jc5z6HbDaL9vZ2wfTopBcKhRAMBqFSqZDJZATjJw7Kk39tbQ1HjhzB7Owsurq6sLS0\nhLt37yI/Px+1tbUioCLLpKKiAqOjo7h16xbMZrNkWBLfn5ubw/PPP4+f/exnCAaDyGazUrQrKyul\nS6isrBQa4pEjR1BeXi5xYtXV1dDpdPD5fEilUmhubkYwGEQ4HBYcvKioCH6/H7W1tZicnER3dzeG\nh4cxPz+PoqIiNDc348qVK8L6CYVC4sMxPDyM2tpalJeXS0fvcDgwMzODY8eO4ebNm+Lf4/P5kJ+f\nD4/Hg2w2C4vFIn4p2WwWTU1N8Hg8sNvtoqa02+1YWVkRIVVHRwcGBwflnqIQqrq6GpOTk5/5fU0I\nhNLyVColLowMiCgrK4PJZJIEq7y8PJH6s8Nk15zr584iQ54/mVaEHgg/kJrJxSvtLQAIJ5u4M+EG\n2gwQnsmNDKRPCqES4ts0U6PFCJ/JXFiH2DwAoRsSFiG0QmYRRV70feFhxeLOcCBy13MLIncPZLkQ\nqsmFb/heuVQmY4n0SO4AeYitra1hfn5ePlceLtyxkbPOXQbf88rKCra2tuT3cGqhuyg7cmoACGfx\nveaKtXgAE7Lmn/s01yPB4Lu7u19n6LbBYEB/fz9mZ2fxwx/+ED09Pbh79y4MBgMGBwdlQZNIJMTM\nqaioCOPj45icnERTU5P4wDidTuTn5+PChQtQKpXw+/2oqqrCzMwMmpubYbVacfDgQQkXvnPnDsbH\nx+FwOPCP//iPSKfTaG5uRn19vTAMwuEwEokE8vLypJNMJpOoqakRs/+VlRXYbDaMj49jZWUFBoNB\njKUMBoOMfUxM0mg0oi49ePAgkskkstksTpw4AbPZjLm5ObjdbkQiETQ1NQm/3Gw2iwd4MpmURS2V\nupRFcxlDv5e+/9PetwS3eV/XHxAASZAE8SLeIAGCJPgWRYoSJVmJbMXWOKlju0rqTjPNTKczadJl\nVll1ynV3XaSTTtdppzOto7zs2m5LWbEkS6REUeL7AQIEAQIgCAIkQAB8dsGe64/+b5L/dCwtvjuT\niYeSQODD9917f+eec+7EBBwOB7a2tkRgMjIygtnZWdTX12NtbQ1XrlzB/v4+6uvr4ff7sb6+Dq/X\nK3BMU1MTQqGQwDDPnz/HP/3TPyGbzSIWi+HJkyciyCJUQByVG3d0Oh1MJhN2dnbgcDgQCASwvr4u\nbJiJiQkpqB6PB/v7+4hGo7DZbFhYWMDh4SESiQRaWlpEGEVTNdILaYWwvb39lWPw3/jGN0a5ZpJe\nRbFYDCsrK6hUKjJHqaqqkhV3ZP8woVHWzsLO66HkV1PQRFKCy+WSVXJ1dXVIJBJS8JeWlsR9dGho\nSPa4sivX6/UCB/B9MImRisoBJ2EC0itLpZJYEvBkQViFDBzi6kykZLjwPXBorDTiYtECcIZHzo5d\nuXCbXe7JyYlAXErLZQCihNXr9XIN+T5YMEOhkJwk0uk05ufnZQE6GTAA5HMSpmEBY2fNglhXV4d4\nPC4dPpeM8/tksucaQcIxyoLD4qIcavt8PiwvL7/cQ9aBgYFRvV6PtrY22Gw2GboMDg5Cp9MhFArh\n5OQEf/Znf4Z3331XjrPBYFD8NxobG2XRA/HEuro6mEwmOJ1O4Y+Pj49Dp9PB7/cL9ez27duI/O+2\nGZvNhvn5eVHH0VDL6/VibW0NGxsbMgj64IMPMDc3h88//xyFQgHz8/Po7e0VOpjH4xFjsUKhINvU\n6efMDoVHyq6uLhSLRbS1tcmS8e3tbXR2diKfzyMQCGBqako+YzQahcPhQFdXl7hr0s+b2F1zczOW\nlpbQ19eHWCwmmgHecKTWsVuh7TFNzMLhsHCKo9Go0CyHh4dRKpXg8XhwcHCApqYmfO1rX0MikcC1\na9ewuroqS77b29tRXV2N5uZm9Pb2wm63yxKD3d1dWd6cyWREZFVdXS0Drc7OTqyuriKTychaQCo0\nA4GAiE7IUlIWhXw+jxs3bmB2dvYrT/BXr14d7ezsRGNjIywWi5w23W43AoGAJEebzQaHwyHsJdpl\nULREZgtNsyjYI32OHHF2z2azWdTZ0WgU8/Pzcq+VSiUYjUZ4vV50dnYKiYAnglKphIWFBaysrCCV\nSsnJkb9byaBht0qF6MnJCZqams5sGiIEYrVapWjxRMMulKdWahaY5HnCqFQqwixSslZYFKqqqiTp\nMmkzORIaAiBD3f39fXHDVH6eg4MDUffSTI3dMosQcwuV6rxfe3p64PP5YDabxTiMxYMJmwpYFjoG\n5w68PtRG8HQFQDp96h14GmpqakIkEnm5E/zf/u3fjjY3NyOTyaBQKKCtrQ0ajQYulwtms1k2vHBg\nxF2ROp0Odrsd165dg16vlyHf4uKi4JKU7V+8eBH5fB5tbW24ePEiPvroIxmYLi4uoqGhAcvLyxga\nGkIoFILFYsH3vvc94QKzs7fZbMIQefDgAVKpFDwej/BTE4kEBgcHMTY2hubmZiwsLIgDH3nBW1tb\ncnyemZnBzs4OvF6vLFtm50ovj0gkIkfWkZERcU2koZrJZMKjR49QLpcRCoXAYhmLxVAqlWCxWMRh\nkZ0tMX0AMrQDIJ36zMyM+Li43W6BZLgA4fj4WEReyWQST548QV9fH+7fvy9Lt51OJ/r7+9Hb24tk\nMomenh6cO3cOKysrYiiWy+XEa//ixYuYmprC/Py8zFU8Hg+mpqbgcDik03U6nTAajUgkEmLilE6n\nodPpxD+HPGaNRoMnT54AL4BF09/fL+yw6upqGfKRRaPkgvOEx46ZBZriF7PZLINYmn1VVVXB5XKh\nsbFR9u4SE08kEohEImJkFgwG0dTUBK1WC6fTecZPiO+DfvM0zdve3kaxWJTkToYHhULUHrBTJ15M\nHF0JvzDhkbNOqh8hCOXf5UmChmns+glVcejK4kFYl3g8LRT43pSUSpqvabVaUa0yidICgM887QrI\n9KGtCVk7DodD4DIWb8JsLCpkBiqHuTzR8pTCwbrSBI3UT54sWDD52fkdWK1WrK+vv9wJ/s033xwl\n1OB2u2UXKzsOmlm1tLSQ9wmPxwO32y34rsfjQUdHB5LJJA4PD9HS0oKdnR10dnbi0qVL2NvbO0Mf\nOzg4wL/927/hd7/7ndCYtre38dZbbwkunE6nsby8jFgsJjf9+vq6bCxqbm6G2WxGPp9HY2MjnE4n\ndnd3UVtbi2w2i2QyidbWVpkFVFVVIZFIwGQyIRgMYmBgQCT5mUwGx8fHQu0slUpwuVwi1srlcggG\ng8hkMnJEP3/+PObm5pBIJHD+/HmhwZHqGAqFYDAYZEjlcDjQ2toqQ1UyFOx2O2ZnZ2Gz2dDW1obu\n7m4ZTHm9Xpw/fx7j4+Po6OiQBzGXyyEajeLw8BB9fX3I5XKYmpoSxhIAzM7OIhwOY35+Hnt7e5if\nn8fDhw9xfHyMjz76SOwHisWimKtR6Wmz2dDR0QG9Xo+rV6/K0LCnpwc6nQ5utxvnz58XK1bi8fQi\n4sA7mUyyk/rKE/zFixdHWQyZ0HhyIROCLoL8GTUJZAF5PB7hTrNImEwm6erpK0Q8eXd3V+BLdrFV\nVacePi0tLcIGq6qqQjQaxdbWlgwFqRmprT3d7Wu1WmE2m0XnYLFYBHJgkSFkQ7iB8wR2z5TtE4Zs\naGgQHr/FYjnD6bbZbHJ6o8c9gDMui+z8eeLgSZ3Jn7MCDiMJa2i1WlitVthsNphMJlitVvh8PjGp\nI+RCqItCw6qq04VC9fX1Z8zBNjc3xfyNwkQuAOIJAoCcXL1eL5LJpEBldXV1sFqtsNvtUsDNZrPk\nNYfDIYWOg15SbHnN7XY7fD4fFhYWfu97W/N/fZP/PjE+Pn5Ck6MLFy7gV7/6lRxbb968ib//+79H\nsVjErVu3kEqlEI/H0dTUhNnZWbEYaGpqwtTUFPx+v3Ch6apXqVTgdruRSqVgt9vh9XqlCtKUiZgY\nMT3ua9VoNAgEAjLc4ko8wgt8QDQajShFGxsbxaiff16pVDA7Owuv14twOIw///M/x/z8PI6PT1eF\nWSwWgX2am5sxMzMjdKlEIiE3Kg3ItFototGoJLVcLgedTifukaS20W5gYGAAlUpFOPqkm3JLFf1m\nzp07J93lysoKmpubMTY2hnw+D6vVKh0H2QFarRbf//73sby8jPv378Pr9cq/Z/HSaDR4/PixJGYy\nEnK5HFZXV/HjH/8Yr732Gn7zm98IN59Du1gsht7eXmxubiIQCODhw4f47ne/K1AZtQIcGFNNS+oo\nv8Of/exnX/m9/dOf/vSkubkZwBc+50r/EVpEBAIBwY4LhcKZ7o38bg7eyL5gMaDxl3IBCDt9Coso\nruLwcnNzU7yFWABYYAAIhs3f+2VuOIeYtOFVKk2JbXNPLiEXpbiPw0ru+j06OpIiwVmFciMV3UaV\nfHeecOrq6uQ0QpiKcxgybmpra8/49RSLRWGrLC8vi1WBksFkNBpx+fJlaX5Y+BobG1GpVJDJZASK\n5d/n5+O8wmQy4cqVK+jr60M6nZbnSAlfsbiTxdPU1CSfJ5fLQaPRwGq1ylCXs4aamhq4XC7Y7Xb8\n5Cc/+b3v7Re2sg8AYrGYyLJp7D8xMSFDt7W1Nalee3t7CAaDwifl0ZNTf+JaBwcH4nvS0tKC1dVV\ndHR0YGlpSewQNBqN7HYNBoMCdfzyl78EcMoHDofDaG1tlZ2NTLIGg0Gwa34xtbW14mTZ29srS7W5\nRICJnGvwurq6pFv50Y9+hCdPnuDixYuIx+OCh5MFlEql8PWvfx13794Vq2MOslwulxzH+RBvb28L\ndbCxsREejwfhcBiFQgHd3d148OCBwDI0a5ucnEQ+n4fH48Ha2po4DZpMJkQiEeTzefzxH/8xfvGL\nX+Ddd9+VGzMej+Pw8BBerxfDw8MwmUy4c+cOjo6OYLfbYTQakc1mRcR1dHSEn/zkJ2cWNpCtcHh4\nCKfTicuXL8uChWw2i5GREYyPjwve2dDQgIsXL8og7+2334bP54PVaoXD4UC5XP6Dt978XwWXMxA7\nVTopHh8fo76+/oyPPTnjhD5YFAhDAJAHn9dLudCaLBDSDWkrwMTNLpidIZ1LmTCBL5xbi8XiGYhk\nZ2dHTgy0Oq5UKjAajYKDk4eu0+mEo86BKpeB7O3tob6+XtwxqfJUWv/abLYzsCYAEQ/R94j8dg43\neaJQ+sIovefJsmFhoK6CO1ZZmNj581TDtYu7u7tnTiFmsxlbW1vC5/8yK8hsNqOrqws+n09et6mp\nCcDpKYH3BiE7Gvkx0SuFT/SxYmPAQTYNFP+QeCEd/H/913+dJJNJgUr29/dht9tRU1OD5uZm2ege\nj8dF8LGxsSHrsnp7e/H48WNhu3g8HtlUVCwW8Y1vfEM26EQiEaFZGgwGuFwu6Sa3trZgs9mwvr4u\niXhlZQUHBwdIp9PY3NyE1+uF3W5HbW2tbBqiolSj0SCdTst6v2AwiFgshtnZWbz66qvo7e3FxMQE\n9vb2kEqlcO3aNWi1WmQyGbjdbhwfH+PRo0dIJBLweDwIBAKy2Hpubg46nQ42mw1OpxPj4+OSvK5d\nu4bZ2Vkkk0n4/X6srq6KgGlnZwdvvfUWJiYmzhwBbTab+H9kMhncvXsXDocDLpdLONhGoxGzs7Oy\nwm1/fx+vv/467ty5A4/Hg8HBQaRSKSQSCbjd7jODONJUXS4XgFPmQn9/v9AeKcgaHx/HX/zFX+Dh\nw4c4OTnBlStXYDabMTExIRQ/drdcVuLxeMSGlklhdXUVnZ2dsvGopaUF6XRaBDF/8zd/85Xf2z//\n+c9Pvixjp0/70dGRPKgUhpEfTYYKbR60Wq2ogNkxMoFxSxMxZ3aPZBIRy+bPaL5FWIPUvY2NDZld\ncLsThWTErTmTIZ+bO0epCk8kEnLSNRgMYhzG300YlkZppIOSeWIymQSGodiIXjFsgLimcW1tTYoS\nu2ua5/FEcHR0JD4zdCLlyYevR6trs9ksBYJ7WXkyOTw8lJ+xgLEw8v7k3ITe/xw6c1C8v78vBXl3\nd1cSM/F7nvaVf594O09HHNZSj8Bh749//OOXu4OPRCI4Pj4WTNdisSAajWJ7ext6vR5PnjwRsyy6\nTV65cgXHx8d4/Pgxnj9/jp6eHkxPT2NgYABra2tYX1+H3+/HhQsXcPv2bRQKBVl1t7CwgLq6Orzz\nzjt49OiRLNWtVCpIp9Pypd+9exeXL19GKpVCa2sr3G63VFe/3y/vf3JyEufPn5fjN1fYLS8vo1gs\nIhAI4OjoCHNzc0in09BoNGhpacHHH3+M69evI5VKQaPRYHZ2Fo2NjXj99ddFKBEOh3Hu3Dlxxvz0\n009FC7CysiL7U71er9BCGxsb0dHRgSdPnqC7uxvhcBh/93d/h3/8x388c/QFIMPoS5cuyTDbbrdj\nbW0Ni4uLGBwclAeIfia3bt0S3xx+Pg7FlR3a5OSkrPKzWCz47//+b3zrW9/CvXv3pNj86Z/+KYxG\nIzo6OlBVVYXx8XHMzs7ij/7oj7C/f7rj0mg0Cr2VToiRSAS3bt1CNpsVWf3Y2BicTicGBgaQSqXQ\n3d2N4+NjxGKxF3Fbn1GXEmJjd02HQdroxuNxSVIc6pXL5TNWsjwNUMWazWaRSqVkIxYhQ+LNHNaR\ne10qlVAsFgXDJkxBqEZpjavVarG1tSVDQTJsyPI4Pj7djkZohUM/QjNMWmwMOFxld0yWGVW0dJ7k\n0NnpdIoIiBAFl99otVrRmTBZZzIZWVhDK2EWPL4OKcMUSpJwQDUp8XsumKHjI58TdtdKeiMAwesN\nBoOYwRGWZSHmKYhsKg6FWYyYwFOplMDThLa4npFEEqWalaez3zdeyJD1Bz/4wej29rYwJKjQbG1t\nFQtO0hapSGtoaMC9e/dgt9vhdDplGEnKYqVSEXYH1ZvV1dXifMg1cnSXI24MQFwlfT4fDg8PRbFm\nsViQSCSEvWI0GsU35fnz58L40Wg0SCaT6O3txf7+PgYGBkQlFwqF8PDhQ0xMTKClpUXcBalCpViK\n/Oa3334bAAS+GBkZEbZCS0sL9Ho9gsGgnGYmJydF7EEIo7a2FmNjY9jf35fBcC6XE+EQHSW5h5V2\nBru7uyJwunr1Kj7++GNUKhVMTU2hu7tbIACr1YrGxkZEIhGhys3NzQm2fHBwgOnpaZycnGB3d1fU\nrPSsWV1dlSP0xYsXcfnyZWxvb8smKrJMKLmPRqPo6OhAS0uLJLX19XURdvEYzZNXPp/Ho0ePvvIh\n63e/+91RFkHaLyv9w3d3dyXZEYIhzKfExOkeCOAML5xzCnqN7+/vy/3DlXP8udJ2loZdZMQQOyYk\nRFy7WCzKwnB2qF/GmzkHoBKVytmGhgaYTCb5XTw1GAwG6U5p9sX3aDAYBAdXqo8pqOLr8zpxRR9p\niWzSyJHn7+AJhqcopSUEAPlsLHqkq5JtQ0aQUmDEwTAhVBYU2mjQHZQFoqqqSiAZqlZ5kmHCpuqX\nQ1hSP6kEpl89Xx84hZ8+/PDDl5tF85d/+Zejm5ub0Gq1iMfjaGhoQDAYxPHxsWx5TyaTsumIN6fL\n5RLFJZO02+0Wv4e+vj6hBHJLkUajQSwWQ39/P6LRqPBkGxoaxACov78fs7OzePvtt8UBMZlM4v79\n+3j27JlI6fP5PFZXV1EoFMQmQa/XY2FhAd3d3dIJZzIZLCwsYG1tDQ8fPoTH44HBYMDFixdx584d\nBINB2ejEbocY5OHhoXiQVFWdbrBiMuSDo9frMTc3h729PfT19cHhcIhXfXV1NbLZrDAbPB4P6uvr\nsby8jK997Wuora3Fa6+9hvv376O3t1fEUlVVVRgeHhYc32q1orm5GeFwGK+++qrQE/1+P548eQKP\nx4NcLgeHw4FgMIhCoSAKVd7YOp1OHC4HBwfFzIny/XK5LF7hy8vLIggxGo2Ym5tDV1cX6uvr0dfX\nh3w+j2QyCZPJhJmZGQwMDCCXy8k98vDhQ7S2tmJ7extmsxl37tz5yhP8e++9N8qunfQ/whUcVJJS\nyGvU2NgoKkwuGldayQIQKwkOC1mUmeDZHW5ubgquS9ofl6GTvUTFZiaTweHhoeghKJLjPtdSqSSC\nKtL7aNm7u7uL3d1duVcJLVH7wW6TpwQ2IywGLDwsOOxMOacg1sxir1wIz2LAZoZwCi2ZqcYmHq/R\nnNopkxZMCqNWq5UGUmmsRmiQ8BmpxUq2TKFQkO6eTQa7drJplP+/s7MDANIgseBoNBphEeVyOfHT\ncjqd0gDwZywuBoMBv/nNb17uBP+DH/xglHQ2mnDxQu3s7MgeU5fLhcPDQwQCAWxsbMBut2N+fh4H\nBwfo6urC3NwcHA6HGBtNTU3Jv8nn83j69Km4wj179gxGoxHd3d3Y3d2VRdZut1uc4La3tzE1NYV4\nPC5QgMlkgsPhwNraGgYHB+HxeJBKpeD1eoWO2N3dLSwPn88nCz0MBoNw/GkGtr6+Lt1vIpGQhdit\nra3QaDTyvguFAn7729/i+PgYS0tLePjwIbLZLCKRCI6OjkRM5ff7cfv2bVitVoyPj6O1tRWJRAKZ\nTAaBQAB3796F0+mEx+NBMBjE4eEhPvnkEzQ1NQkUxaOm0+lETU0NvF6vUE5HRkbEFbO6uhqxWAxX\nr15FuVzG06dPxZeGpyGbzYZYLIaTkxMMDw9Dq9XC4XAgk8nA4/HA5/MhkUiINwjFJc3NzZK4rFYr\ngsGgLA3nUDYYDCKVSsHn86GqqgrNzc1ob2+ihvXPAAAaD0lEQVSHXq/H9evXsbm5SRUr7t+//0IS\nPNkZHPxz0GowGARaYaFm9044ZXt7WyAaZQettJXliYBQG7UWyg1KTCJkgZAKSEYMB5MApNNmx0nc\nmgIdYtu0NWanrBy0Hh0dCTGAnb3SdAuA+OUUCgURVG1ubmJ9fV1oi+zi8/m8MGvotaMUACmVv3a7\nXZoh7o0gDMJhps1mEx0BITPaM3PGcXJyuhiHJwqNRiPiMsJVSoUtxWk8SXB+wOtD2FKjObXXJqav\nNBMjts8ipLy+dBzlABmA0E9/9atfvdwJ/q/+6q9Gj46O0NTUJBucuEiYPO2VlRUsLi6ivb1dcGbK\n5X/5y1/C4/HA6XRKZY1EIrh69Sqi0aj4f3BBNgU/5XIZ4XAYJpMJuVwONTU1Ilzi0BU4PQ6ur6+j\np6dHhk/Xr19HPB7H/Py84IfFYhEXLlwQSiYHKtXV1ejs7ER1dTV2d3fhdDolgVosFhmKtre34+Tk\nBG1tbXjw4MEZDnE+nxelXS6XkyHi3t6euGh+9tln+Od//mdcu3YN6XQaw8PDMhjr7+8XxR65ubOz\ns7h//z5qa2vh9/tRLBaRyWTEk9/n82F1dRVra2uYm5sTn5iRkRG43W4pvltbW6hUKvD5fPD5fNKN\nLCwsCCTQ2dmJhYUFtLa2SqdYVVWFVCqFaDQKt9stySqXy6GnpweZTAY3btxAMpmUIVVbW5sMnZqa\nmrC8vCx4fzabhdlslkH6+vq6sDI+/vjjrzzBf+973xvlA69MsmSxKBMekw+9kvb29mRbFvAFA4YJ\niGyKLydYFkAAZxwWqRbV60+3jjH50graYrEIBZHdNZk0VHWSj04mEKEWMtuYoIAvlkPX1NSIAIj0\nS8I7HEAzSRMOUToklkolZDIZbGxsyImN/1aJsbM4KosbV24qbROoRWDnT2VqpVIRMgELgpJ+CXyx\nQhCADMMrlYrw2Jn8WRxJ2wTObq4i9k7qK39PQ0ODnFAIKxE2I5Sj9O3R6U73CPziF794uRP8G2+8\nMWo2m4XiSAOvQCAAADJgsdvtiMViaGtrw8nJCVKplPCgKbdvaGgQiIGGXsfHx3jvvfcQDodlITZF\nO9PT07Lajqyb2dlZweFo20o8d2pqCvl8Ho8fP0ZPT4+YN73zzjvIZDL45je/KZ1Je3s71tbWxDuH\n25D4un6/H5OTk9BqtdIZZzIZ+Hw+OBwO8Z7Z29uD1+uV4azFYsH09DRcLhcuXLggN31jYyOGhoZg\nNBpRV1eHmZkZ1NbWypBGp9Phzp07GB4exoMHD+ByuYSbzlkCuxc6bTY3N4uMWmlelUgksLCwIFL1\nsbExnJycIJPJSCEuFAooFosyDOYKPVL86AdvsVhgNptFFg+cdm35fB5zc3PI5XJYWVkRBsXS0pIY\nmZGV8/rrr8uaxmKxiM8//xzBYFAWKH/yySdfeYJ/++23Rwmv0EKXHTU9v8nK4JCNQ3w2JUw0hLCY\nRPhMuN1u6fLJhScvnsmFiZtdNKX/hC0KhYI4OxIG4g5Qdu0cIrLb5z2u5OXX1dX9P8ZgDQ0N0Gg0\nZ5wimchZLEgV5PyEhYj+PACkeJlMJuzv7yOdTsuQkwmPn5edP2GVo6Mj6eZ53ZQFl1bHxWLxTPEi\nBZWMHvr/KE3F6A3P70epeCWExj9TLiLhEm7+bl4/EjyoIFaye8hu4h4EsqT+kA7+hdAkP/744xNi\nc6z2vDGImycSCTHcIifVYrEgn88Lz9vn82FsbEzMqN58802BN6xWK46OjuBwOMSUivxqfrE0KRsa\nGsLKyop0s3V1dXj69CkymQyGhobkQWPnzYUbOzs7mJ6exsjICA4PDzE5OQm/349EIoG6ujr09PQI\nvSuXy8kXRJ9o+pY8e/ZMcPeDgwP87ne/Q1tbG/L5vFCsWlpa0NvbiydPngjvnYpX2uWura2hqakJ\nmUxG8HKj0YhQKITp6WnBWzncIk0ylUoBgOgOyEzSaE4N1tLpNGw2G3Z3d7GysiIe76FQSJY422w2\noWbytPX+++/jhz/8IWZmZrC3t4fm5uYzhZQufe3t7ZidnUXgf102w+Gw6BPI/OCGqVAoJLtqqT+Y\nmZmR/aW3bt2CyWTCe++995Xf2//yL/9ywqM4O2x2bUwQAGTROjFYpbyfXum5XO4M3LK5uYnq6mpY\nLBahitIzhsQADhS1Wq34lFNMBUCERpubm3C5XJJ0eX8qvfUJlXFQSS8XUj85TFdSbDkkZBfPZEZn\nRRqrARA4iDbXFPkQPgEgp1hqJZqamqTpIKvF7XYjn88L24U4OLdV8TpRrUs2DhshnrhisZgwijQa\nzZm9xBRy8Xviz5hT6JlDNg9dJ1nYqXzn9QAg116pPiZcx5MP5yLpdBpVVVXweDzQ6XT467/+69/7\n3n4hHXwoFBol7ltdXY3l5WWk02mkUikUi0X5ora3t7G8vIzj42M0NjZiZ2cHVqsVT58+hcPhQCwW\ng15/ukj3tddek44CgAwZJycnxbvF4XCgp6cH5XJZREhzc3Py8On1enEppPMjp/3t7e3C5c7lchge\nHhbl59bWFsLhMEZGRsRgrKenBwcHByiVSujr68Pm5qaYirHwsJM+d+4cZmdncfXqVSwuLuLGjRvQ\narUIhUKyiNpoNMoAl/9rbGwUnDIQCCAcDotFA30zmPja29sxOTmJnp4ewa/j8bgIkKamppBMJoW7\nq9VqcfPmTVQqFayvr4sOYGZmRjYKkaZItaTdbke5XEY2m4Xb7UYymRQzOZrDccZQqVTQ3d0tLKrp\n6WmhotrtdgSDQTlNAKfY69DQkBx5q6urMTMzg1AoJOwkwmJPnz7F559//pV38N/5zndG2ahwDsQH\nnrQ7YvBKF0VlV8tumMmU0Ae7T+WyDSYzJgcuHPnyUgkmJgBnThVKRSs5806nU4aX/HPgC7dEpWcO\nh8mEmVgEOF9Rvk8l1k3cXskr5xyCtFuyT5gkucCaCZbvjwNKUkOZHJUGaXt7e4Kf7+7uolwuy3Uq\nFosCz25ubkqXztNNoVAQmwIWYXLVAch1Jc9eyZpiAv+yspfzBBY5+g/xuvA1+d8skrR6+PWvf/1y\nQzQ//OEPR2lbazQaJfnRupTOgF6vV7zUuWjDZrMBOFXgBYNBRKNRAMDPf/5zkcLzYcpms3j11VeR\nTqdFsJFKpbC3tycWt42NjSL+WF1dRWtrqyw9oHFQJBLB3t6eKFHb2tqQTqcxPj6Ot956S1acLS4u\nYmNjA93d3bKzdHl5WTrmtbU1WK1Wkatns1nZ5EQeO60Stre3EYlE4PF4kM1msbu7K6ZjHo8HAGQY\nMzU1hcbGRrjdbqF6xWIxuN1u2f2Zy+UwODiIUqkkg2oWzGw2i9dffx2BQEDcMOmvTjoXCwa7KpPJ\nJGZWTDBcZOL3++Xvtbe3iyfI4uKiYL/sflZWVmAwGMRBc2lpSSwdnj59KphxPB5HIpHA8+fPUalU\nsLGxgb6+PkxMTAizhAkxHA7j2bNnX3mCv3nz5mg2m0U6nZZF6/Q3p1qVnR/teilaUtIXS6US0um0\niI2SyeQZBSZl/EpVt16vl4YknU4Ltk2ZO6EVUkoBCF2TiZzeM+VyWTprLq7gMFdZiCiA4oyMJxfu\nKQa+oDwqjcVIPWTnSqEcixiTMRM4cWrea4T8AJwxKgMgoitCiYSbWMQ452Pyp5kYqYlKzxoyx/g5\nlINvzlm4iYqDaHboTMws1EqXSxYs0l55euHPOesgdKc8EVQqFfzHf/zHy53gOzo6RgcHB/EP//AP\n0Ov1cLvdstEoHo+LD7jRaMTExAQeP36McrmMjY0NeYinp6cxNTWFrq4uJBIJNDc3Q6vVore3V2hi\nW1tbiEQi2N7extbWFpqbm2EwGLCxsYGuri5ZtEHP+VAoBL/fj6WlJSQSCdy8eVMMxPx+vxh3tbS0\nIBgM4tKlS/j3f/93wQm5HzObzWJ2dlYWFJPXTWvVvb09JBIJVCoVDA0NYWNjA+VyGc+fP4fb7cbm\n5ibW1tZk44tOp0MwGJRj9aNHj6DRaNDf349YLIbOzk5UVZ0u2OZn5CIOesW3t7cLlYsOlX6/H21t\nbQAg25i4yINmZ8+fP0d/f7/QtchKstvt0Gg0MgRlp2YwGJBKpUSS39raitXVVcRiMWg0Gnz22WfY\n29tDS0uLJOaZmRmYzWZ88MEHcDqdeOONN/Db3/4WXq/3zDDN5XLJiYAKxoaGBiwuLoo3UUtLCwqF\nwgvhwY+MjIyenJwgm80Kw4Oyd3aWfJC5vJ3HcHbDu7u7yOfzklCY8GgzQFtndqbr6+sioNrY2EA2\nmxW1NYffPBUwodlsNhiNRkmYNP0iNKJcnAF84aFC2ImDR0ISZHzQhkDJWWdXzwEsO2g2IrW1tXC5\nXGdgHaVHPQsI50zKLVMUU5FlRTtm2n6zuLBDVjpBsnAoX9flcsHlcskAnKIv6j4IKfNnhIGZ8FkE\nSec8ODgQAzQmbaIMymE8TwZ0BiUNkzAyTy2Eez799NOXO8HfuHFjtFwu4+tf/zrK5bJ4fkejUdy8\neROBQAAOh0O8yQOBAIrFIrq6uvDs2TMx6OF+y9bWVqni9IopFAqSDHK5HBKJhCy7SKVS+PDDDyUB\n0mPCYDAgGo0iHo+ju7tbLFTD4TCOj4/R2dkpbBDy3GmtQDimUqmIZwcHatvb2zJboLx5aGhIOoRK\npYLnz5/D6/Wiu7sblUoFHR0d4rSYy+Vk2QX95wOBAD755BNRepI2GQ6HodfrceHChTPUt8PDQ6yu\nrsLtdmNrawuDg4PC0Y1EItja2pL9p9XV1djY2MD169fl2L69vS1DKKPRiHA4jPb2dkxPT8uN6fF4\n4Pf7EQgEBI+trq6Gz+fD2toaAoGADLNaW1tx9+5dHBwcIBQK4f3338fIyAgKhYJYSGg0Gjx//hzZ\nbBZerxcnJyfS2c7MzMj6P9JVh4eHkU6n6Wn0lSf4N954Y5QqafKymdyZiMh1V2LaPNUR2mEyIEXO\nYDCICjOdTuPg4HRhNYsukyvphkxMFEUpZe9kaHCFIu0FlENLnmiVMzIyd4jrAxDzPiZ+Jn+eCpjo\nqBA1m80ygFS6PpLzzs5dCVXw95JpQm49k6JOp5NrqWSsaDQa2btMZpFS+k92E08AZCDxmSTbh8n1\ny2ZnvGZ8pjn45eegBoFiN+WfKb2SlNz77e1tYeix6Cg7fyqP/xD48YUk+O9///ujGo0GFy5cQLlc\nRkdHB65evYqdnR1xgOT2JnpFGAwGPHv2TLB1mmJRzcpEyuSk5Pb29vZiaGhI/ClI8aqpqRHLYfLn\naVYWDAYxOzuLgYEB5PN5zM/PIx6Pi09HqVQSl8qxsTGx3LVarXj06BEuXryIS5cuCTOFzBwu9l1d\nXUWxWBQnyRs3bkCv1yMUCmFmZgZdXV04f/480um0eNqwQ+HaPYfDAZ/PJ4ZtNTU1MJlMAkmRp24w\nGBAIBDA5OYlLly6JoGxtbU0gr5GRETldtLW1SfdBuIAPCweEvb29Is7Z29tDIBCQ/37//ffhdrux\nuroKl8slC8N9Ph8sFgu2trbkerEDJDtEq9VieXkZoVAINTU1uH79Og4ODqS4EiJbXFyE2+2G0WiU\nrvbXv/41pqenEQwGXwgG/+67746SS200GoUhQv92JiTlIJLdrhJ3Jw0PgEBpHKaSP03xkM1mg91u\nl9cm9KNUpjLBmM1m2dZE2IAsDVIMiQ8zwZG5wt+v1+tlY9nR0ZE8Z5yL0DCMPHeKjJi0iSWbTCaB\nTTho5GvRHZOnFkK5LCKEbLgXlQmdkA8pi8DpQNtutwsOrtPppPE6Pj71gSc8pKR6km7JWQVhwVwu\nd4bNQ9tjk8l05sRARgxZRDwtAV9sqSLN1Gg0ykwGwJllJxqNRjz+WQju3r37cif4b3/726NNTU2Y\nmJjA+fPnkclk8OzZM2xsbGB9fR0dHR2iFNvZ2UFXV5d8kezkeBFbW1ulk3v11VfhdrsxNzeHYrGI\nDz/8UGyEadLEVXlms/mM89vU1BQGBwfFfndyclKsSMvlMtrb22UolEqlsLa2dmZJdTwex8nJCZ4/\nfw6Hw4HPPvtMxFPZbBYAZLMTV/RpNBqEw2FZ3caNPBqNBhsbG4hEImhvb0c6nUZLS4vYonJFIB92\n+us8fvwYJpMJ8XhcDNL29vZEONLV1YVIJCJeKN3d3YhGo3jllVfwwQcf4Ny5c3JUpOd1dXU1zGYz\nXnvtNcHS5+fnMT09LXJ4j8eDjY0NHB+fWiFfunQJPp9PoB1yrLPZLKampkQkFo/HsbGxAYPBgL6+\nPhwcnO5e9Xg8MrhTYvs7OzsIhUJYWlpCb28vrFYrlpeXMTw8jEQigY6ODnznO99BPB5/IUKnd955\nZ5RHcp5eSOvkYG5/f1/mQMAp15rJVsl7p0sku0fgtINLpVLY398X3xvuISA0wERHQY6yyyQ8xATP\nDpUwEOcdVMly/sLCQmiJgqpcLnfGglhZUEqlktAISZ8lM4QFjp0pCwOvBa8LX0s5QAUgswa+J+AL\nCwW+F1oFs/DxM5OGSTUrgDOir3w+L8wnctb5/XAmR8Gasnvn7ELZzXOoy6JCsohyDsFTA4fVJHvw\nOpBFVlNTg6amJhiNxpffquCnP/3p6NTUlODDXKhBS1vS+dLpNB4+fIhyuYy5uTmpiPl8HvX19Vhc\nXERXVxfGxsZQLBbx6aefIvK/O0ofP36MH/3oRzLou3fvnmBb3d3dWF1dRS6Xw8bGBoaGhnB4eCgL\nqCkooBjHZrNhdXUVgUAA1dXVmJ+fh9/vR0tLC6LRqOxeJQbOL61QKECv18NoNJ45iSQSCTnWfv75\n5+jt7RWsrre3F5VKRfa/Pnr0SGhgMzMz8Hq9go0zmTc3NyOVSiGfz4u83+/3C1zEbi8cDsPj8QiV\nkpxdesOEw2GkUimRxhP6KpVKePToEWKxmFg80ImQohR6vhOT5HumaKy1tRVOpxN+vx/xeBydnZ1o\nb2+Hx+ORlXPr6+twOByCCbvdbiwtLcnAzG634/bt29DrTxd8ZzIZUQnq9XqEw2Ekk0nk83k8efLk\nK0/w3/rWt0aVCsgvJ0R+xxzocYBGHxNCCfz7ZG5wSMoEyYGbcnjKgSIHt8Sn2e0zIbKTZCJSDhHZ\n9XJoS+xYuXJOKbJicVBCI2TEsNsulUryOZQGdlSoApBiwv/mSZr2HUoBkEZzajVMF8fa2lqxgeAi\na6pv2YHz2rHDpmskEzQAufbs0Jl0mbw53GVhIO7P16WKlfeq0k6YVgrKZE26tJKFxLmC0lGSTQIF\nXbW1tS+/VUFfX98oOcyc6FssFnzzm9/E/fv35cjCI3oymcTQ0BB8Ph+KxaLcyDxK1dfX4/r169Ll\n1tTUYHh4GAsLC1haWkIwGITT6YTVaoXf70ckEkEoFMK5c+dgNBqFR14sFnH9+nVsbW3BYrFgamoK\nHR0d2N7exubmpuCLPT09MJlMKBQKcLlc2Nz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "roll2d = lambda f,i,j: roll(roll(f,i,axis=0),j,axis=1)\n", "def filt_moy(f,k):\n", " n = f.shape[0];\n", " g = zeros((n,n));\n", " for i in arange(-k,k+1):\n", " for j in arange(-k,k+1):\n", " g = g + roll2d(f,i,j);\n", " return g/( (2*k+1)**2 );\n", "imageplot(clamp(f), 'Image bruitée', [1, 2, 1])\n", "imageplot(clamp(filt_moy(f, 1)), 'Image moyennée', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Tout le bruit n'a pas été enlevé par cette opération. Afin d'enlever plus\n", "de bruit, on peut moyenner plus de valeurs autour de chaque pixel.\n", "La figure suivante montre le résultat obtenu en moyennant de plus en plus\n", "de valeurs." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Bdhac1Ok0ZBbY7eb4vql8cFGJ4uoQDbUvm+uv9oarHTTAfn87MXcaCaarNFQ0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\nMmllW4VCQcPDw8aJXFhY0PT0tK5fv67JyUnl83nzODFEdNKu1+u6f/+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TU0ZFKpVK1pQD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7DwCSzY7/Le097b2xt4nCcgHgfk/1LYmPrIJephRhMqPiz3mzjv9fiedwYQb7yjkFI0tI7CBR5S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\nNpVKRa1WK9L8r5HO/N2MIEHxzXWN0vpgM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "klist = [1, 2, 3, 4]\n", "for i in arange(0,len(klist)):\n", " k = klist[i]\n", " f1 = filt_moy(f,k)\n", " imageplot(clamp(f1), 'Moyenne de ' + str((2*k+1)**2) + ' pixels', [2, 2, i+1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Le moyennage des pixels est très efficace pour enlever le bruit dans les\n", "images, malheureusement il détruit également une grande partie de\n", "l'information de l'image. on peut en effet s'appercevoir que les images\n", "obtenues par moyennage sont [floues](http://fr.wikipedia.org/wiki/Flou,_nettet%C3%A9_et_contraste). Ceci est en particulier visible près\n", "des contours, qui ne sont pas nets." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Enlever le bruit par médiane" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Afin de réduire ce flou, il faut remplacer le moyennage par une opération\n", "un peu plus complexe, que l'on nomme [mediane](http://fr.wikipedia.org/wiki/M%C3%A9diane).\n", "\n", "\n", "Etant donné la valeur $a$ d'un pixel, et les valeurs\n", "$b,c,d,e,f,g,h,i$, on commence par les classer\n", "par [croissant](http://fr.wikipedia.org/wiki/Ordre_croissant ordre).\n", "\n", "\n", "Dans l'exemple du voisinage de 9 pixels utilisé à la section précédente,\n", "on obtient les 9 valeurs classées\n", "$$ 47,54,79,153,166,189,190,192,203. $$\n", "La médiane des neuf valeurs $a,b,c,d,e,f,g,h,i$\n", "est la $5^\\text{e}$ valeur de ce classement (c'est-à-dire la\n", "valeur centrale de ce classement).\n", "\n", "\n", "Dans notre cas, la médiane est donc 166. Notez que ce nombre est en général\n", "différent de la moyenne, qui vaut, pour notre exemple 141,4.\n", "\n", "\n", "La figure ci-dessous compare le débruitage obtenu en effectuant la\n", "moyenne et la médiane de 9 pixels voisins." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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W4+mToHhwEj8YY6RvUB8e9fG9lUrFKKt8Pm+JKnhM6gqQhmIMoJZYI6SIREco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\nSlPLILIvl8t2aInyEavCGRwfH9vn4cy8uh2dr2CqHhP3jTC+kMRhAhfu9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def filt_med(f,k):\n", " n = f.shape[0]\n", " g = zeros((n,n,(2*k+1)**2))\n", " s = 0\n", " for i in arange(-k,k+1):\n", " for j in arange(-k,k+1):\n", " g[:,:,s] = roll2d(f,i,j);\n", " s = s+1\n", " return median(g,axis=2);\n", "imageplot(clamp(filt_moy(f,1)), 'Moyenne de 9 nombres', [1, 2, 1])\n", "imageplot(clamp(filt_med(f,1)), 'Médiane de 9 nombres', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Afin d'enlever plus de bruit, il suffit de calculer la médiane sur un\n", "nombre plus grand de pixels voisins, comme montré à la figure suivante." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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hcKBQKKBYLMrooq7rKJVKSCQSUpY3m03pzjNodbtdzM/P45lnnpHywW63S3lL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\nYrGoWq2mhw8f6vT0VNevXzf3nDCjWCyq2WxaIuirr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "klist = [1, 2, 3, 4]\n", "for i in arange(0,len(klist)):\n", " k = klist[i]\n", " f1 = filt_med(f, k)\n", " imageplot(clamp(f1), 'Médiane de '+ str((2*k + 1)**2) + ' pixels', [2, 2, i+1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "On constate que cette méthode est plus performante que le calcul de\n", "moyennes, car les images résultantes sont moins floues. Cependant, tout comme\n", "avec le calcul de moyennes, si l'on prend des voisinages trop grands, on perd\n", "aussi de l'information de l'image, en particulier les bords des objets sont dégradés." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Détecter les bords des objets" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Affin de localiser des objets dans les images, il est nécessaire de\n", "détecter les [bords](http://fr.wikipedia.org/wiki/D%C3%A9tection_de_contours)\n", "de ces objets. Ces bords correspondent à des\n", "zones de l'image où les valeurs des pixels changent rapidement. C'est le\n", "cas par exemple lorsque l'on passe de la coque du bateau (qui est sombre,\n", "donc avec des valeurs petites) à la mer (qui est claire, donc avec des\n", "valeurs grandes).\n", "\n", "\n", "Afin de quantifier combien un pixel avec une valeur $a$ est un bord,\n", "on prend en compte les valeurs $b,c,d,e$ de ses quatre voisins (deux\n", "horizontallement et deux verticalements). Dans le cas considéré\n", "précédemment, on obtient :\n", "$$\n", "\\left[\n", "\\begin{array}{ccc}$\n", " & c & \\\\\n", " b & a & d \\\\\n", " & e &\n", "\\end{array}$\n", "\\right]\n", " =\n", "\\left[\n", "\\begin{array}{ccc}$\n", " & 54 & \\\\\n", " 192 & 190 & 153 \\\\\n", " & 189 &\n", "\\end{array}$\n", "\\right]\n", "$$\n", "\n", "\n", "Notons que l'on utilise ici seulement 4 voisins, ce qui est différent du\n", "calcul de moyennes et de médianes où l'on utilisait 8 voisins.\n", "Ceci est important afin de détecter aussi précisément que possible les bords des objets.\n", "\n", "\n", "On calcule une valeur $\\ell$ suivant la formule\n", "$$ \\ell = \\sqrt{ (b-d)^2 + (c-e)^2 }. $$\n", "Dans notre exemple, on obtient donc\n", "$$ \\ell= \\sqrt{ (192 - 153)^2 + (189 - 54)^2 } = \\sqrt{19746} \\approx 140,5. $$\n", "\n", "\n", "On peut remarquer que si $\\ell=0$, alors on a $b=c$\n", "et $d=e$. Au contraire, si\n", "$\\ell$ est grand, ceci signifie que les pixels voisins ont des valeurs très\n", "différentes, le pixel considéré est donc probablement sur le bord d'un objet.\n", "\n", "\n", "La figure suivante montre l'image obtenue en calculant la valeur $\\ell$\n", "associée à chaque pixel. On a affiché ces valeurs avec du noir quand\n", "$\\ell=0$, du blanc quand $\\ell$ est grand,\n", "et on a utilisé des niveaux de gris intermédiaire pour les valeurs entre 0 et 1." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 256\n", "name = 'nt_toolbox/data/hibiscus.bmp'\n", "f = load_image(name, n)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "edge = lambda f: sqrt( (roll2d(f,+1,0)-roll2d(f,-1,0))**2 + (roll2d(f,0,+1)-roll2d(f,0,-1))**2 )" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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MJBK6evWqBYq98UII4EBxhSl3JpsBJMKGwqhB8UgDowZ1ABVEpgz35fPccVd5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ZVXFI1GdffuXQUCAY2OjurJJ5/UkSNH9L3vfU+zs7M2CoV9Ozc3p3feeUeFQkGvvPKKnnjiCUWj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\nh3F7e9vat0I3+H3gnQyGjciA+8C/vePY//tewnlQOnip+rzy+bxSqVTdg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f, 'Image', [1, 2, 1])\n", "imageplot(edge(f), 'Carte de $\\ell$', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "On peut voir que dans l'image de droite, les contours des objets\n", "ressortent en blanc, car ils correspondent aux grandes valeurs de $\\ell$." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Les images couleurs" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Une [couleur](http://fr.wikipedia.org/wiki/Couleur image)\n", "est en réalité composée de trois images indépendantes,\n", "afin de représenter le\n", "[rouge, le vert, et le bleu](http://fr.wikipedia.org/wiki/Rouge_vert_bleu).\n", "Chacune de ces trois\n", "image s'appelle un [canal](http://fr.wikipedia.org/wiki/Codage_informatique_des_couleurs).\n", "Cette représentation en rouge, vert et bleu mime le fonctionnement du\n", "système visuel humain.\n", "\n", "\n", "La figure suivante montre une image couleur, qui est décomposée en ses\n", "trois canaux constitutifs." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "name = 'nt_toolbox/data/hibiscus.bmp'\n", "f = load_image(name, n, 0, 1)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f1 = f.copy(); f1[:,:,[1,2]] = 0;\n", "f2 = f.copy(); f2[:,:,[0,2]] = 0;\n", "f3 = f.copy(); f3[:,:,[0,1]] = 0;" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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m3gGxOc2d//JfofApZ4es9CPmuztEww5x6GEPdukmQOkxupAz3CgkFeTO21EP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\no3IKw7kXE47GcrAcw1ZD277GyHDIbgmNgDnLrSl4fzxGNx4Zg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f, 'Image couleur', [2, 2, 1]);\n", "imageplot(f1, 'Canal rouge', [2, 2, 2]);\n", "imageplot(f2, 'Canal vert', [2, 2, 3]);\n", "imageplot(f3, 'Canal bleu', [2, 2, 4]);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Chaque pixel de l'image couleur contient ainsi trois nombres $ (r,v,b) $,\n", "chacun étant un nombre entier entre 0 et 255.\n", "Si le pixel est égal à $(r,v,b)=(255,0,0)$, il ne contient que de l'information\n", "rouge, et est affiché comme du rouge.\n", "De fa\\c{c}on similaire, les pixels valant $(0,255,0)$ et $(0,0,255)$ sont\n", "respectivement affichés vert et bleu.\n", "\n", "\n", "On peut afficher à l'écran une image couleur à\n", "partir de ses trois canaux $(r,v,b)$ en utilisant les règles de la\n", "[additive des couleurs](http://fr.wikipedia.org/wiki/Synth%C3%A8se_additive synthèse).\n", "La figure suivante montre les règles de composition\n", "cette synthèse additive des couleurs.\n", "Par exemple un pixel avec les valeurs\n", "$(r,v,b)=(255,0,255)$ est un mélange de rouge et de vert, il est donc\n", "affiché comme du jaune.\n", "\n", "\n", "On peut calculer une image en niveau de gris à partir d'une image couleur\n", "en moyennant les trois cannaux. On calcule donc une valeur\n", "$$ a = \\frac{r+v+b}{3} $$\n", "qui s'appelle la [luminance](http://fr.wikipedia.org/wiki/Luminance) de la couleur.\n", "\n", "\n", "La figure suivante montre le passage d'une image couleur à une image de luminance en\n", "niveau de gris." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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vfMO7EGqCq1KO9JoPfPtX8pfzXaozw6c/eZ837p/ysV//XczJCuU1mRV8/1d/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BrN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\nuveejz76iLIsmU6n/Omf/inee+7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f, 'Couleur', [1, 2, 1])\n", "imageplot(sum(f,axis=2), 'Couleur', [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Une autre représentation courante pour les images couleurs utilise\n", "comme couleurs de base le cyan, le magenta et le jaune. On calcule\n", "les trois nombres $(c,m,j)$ correspondant à chacun de ces trois canaux à\n", "partir des canaux rouge, vert et bleu $(r,v,b)$ comme suit\n", "$$ c=255-r, \\quad m=255-v, \\quad j=255-b. $$\n", "Par exemple, un pixel de bleu pur\n", "$(r,v,b)=(0,0,255)$ va devenir\n", "$ (c,m,j)=(255,255,0) $. La figure suivante montre les trois canaux\n", "$(c,m,j)$ d'une image couleur." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f1 = f.copy(); f1[:,:,[1,2]] = 0;\n", "f2 = f.copy(); f2[:,:,[0,2]] = 1;\n", "f3 = f.copy(); f3[:,:,[0,1]] = 1;" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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OYCXZuKqpnnwE367D1gm4eEFCYoJYPNHGg84Q/vLPJLLat2KnxHDyJfcTfjTk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\npBrUUqfrMBe1NYfCSgVsFLB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