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The power of non-robust cuts in branch-cut-and-price algorithms
Tutoriel de l'axe OM/OCPE (Optimisation Mathématique / Optimisation Combinatoire et Programmation en Nombres Entiers) du GDR RO.
Ruslan Sadykov, INRIA Bordeaux - Sud Ouest
Ruslan.Sadykov@inria.fr
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frEx6d7fL24QWv75/z3oNzHt0+5Pr2Cc8vz7g+P+DB8TZXRxu8uHvC8zunnG7NeXL7gG9+8ow3T87Z2ehTrlhk8irZfISgoJIpahTrGtW+Q3uSprfsMVj1Ga4VGa7XmGwPmO3PmRxsMtjbpL+7xmBnxmCzx/rBgOPjHmdnFZ48rvHVjxs3wlARURWRiLLoAmIxmVhMJqqIxKILH8GxFhRtOzLxhIQaE1Eiv9AShn/hOiSgRCSiZhQ9qRMPEnglh1LTptlzaHQcKnWLfDGGl1awLRlHX4AgoQnE1YUzqUVFImGJSFhceA2ajJmQcVIyfiCTy8lkM/ICBLaMaYjEVIG4IRO4Co28yrxrs9w1mPZM+i2dWilKkA4TpDVadY+1WZO9rQlnhytcnq7y8GyVF5cbvH18zPP7hzy4vcXlyQbX90547+klT65OeHxnm4e3Vnl+d4v37u/y0ctLPn77iAd3TtiYDdlZ6XNxtM7jO8e89/gOT++e8OT2Ec8vj/noxQO+ePeSj57d5+NnV7x7dMH1rR2ub+3y+NYej27v8uB0k+e3d/jo2SX3b29SrSYI8gr5okK2ECFbiFKsxaj1bTpTj/7cZbjqMVzLMVqrMtloM9kZMtie0t6c0lwb0V7t0Vtrsn885uyoz+lRnXuXZT7+pIYQkwV0WUALiaiKRPjG85dlgbC08AfUmIBhCliJhTYwTYGYthBqv+gLKDcmUSgkEFElVDOK6cZJ5iwyFYday6bVtWl3LGp1k2xRxUmHsCwJSxexdYFEbKFPtKiIpopEwxLRiERMlTBNCSup4PoKQU4hX1DIZWSCtETKkYkbInpMxLoBQT0fZVSLsTZ0mHQNGpUQ7bpJu+7RaWQ5O1rj4d0Tnj28w4uHt3nx8BZfe/OIX/74BR+/uebNs4e8e/6Q10/u8f6LB3zl9VM+fHGf9x6e8OzODq/uHfLi8pB3T+9yff8Wpweb3D8/4t2z+3z44gFPL4+4ONrg/q193r++4v1Hl7y5f86T24fcP97m4ekObx9d8JUX9/n48QUfPLzF89u7PL3Y5cn5Lte39rg8XWdvs0u9ZpIthMgUwmSLUco1jUY3QWfqMFx2GSy7DOY+o5Uco9Uyo7UmvdU2rdUuteUmlUmF9qzM/tGA85Mex3sVTg+zPHmVv2ECWUC9iYgsEpYFwrKAIi0MonBEIBZbzBN0QySmCURjC8oPKYv5QkhZULYcWlxHtRAxS8P0E7glm1zdodZK0OqbtLtxKjWdIB/BTinE4+LCrNJFtJhATBVRVYmIKhGNSqhqCF2XsSyFpBfByyhkC2EKBZl8ViLry3juwsY1NRHblMmnI3QrGuO6xko3wXxg0W8ZDPseS0s1Hj244N17L3nz4jlvXzzn0eU5V+eHvHtxzXtPrnhxfcWDO7e4PD/g+uqM6ztHPD7b5cHxNrcPNjnfW+f23ipXp9s8vjjg+vKQt0/u8ObJJdd3j3h6ecybR7d5/+klz+6ecHtvld2lPjuzITtLY/ZXljjenHPveIsXd454e++Er7244pPrO7x5eMazyyOe3T3m4mCN8/1VduZtGjWTbDFCrhKj3DJpDizaU4f+LEl3atGaWAxnLqNln+E8T2+5SGupTGNapDrI0hgGrG5UOT5ocbBbZnc/x95lsHAM1dDPQRANCURlgeiNOyjd2MARVUJVF4OXaEwgqoooEXHBAOEFCyg3XYESEYnqCpqjk8hYuKUE+aZNrZug2ddpdAwKlRheNoKZDKEZNyDThIUvoIpEojIRVUZVZdRYCMMMYdsKqbRCkAuTL4UoFiVyOZFiIUIuo+LEZRLawjrOpRQ65SjjepS1nsHmJMWwY9NpeRwerfDZZx/z5PEjjvf3uDg94Wh3k/WVEWenBxzsbnB2vMOtg02OtmZsLo9YHvdYHvfptGosjbocb055eXePT19c8uXbh/zSu4d88foe3/jgEb/+xRu++/X3+fLdE95/epfryxPune2zv7bExmTE2mTIfDRg1muzNu5wtDrhzvYyz893+ezZJb/6yUt+/Wtv+fKjl3zy5gmfvf+S5/dO2Flv0mo7FGoGpU6c5siiM3Hojh3a4wT1fozO0GQ4cxhOHfpTl84kRWvo0RikqfdT9CZppssBs9WAyYbHeCuJEFX+Ggh+ygrKjVV8MwUMR2Ui6mKUG1UXY+bQjS0cjiwAEVbEn4FANcIYromVtUhV4uTbCWqDBM2hSa1tkq/oOBmVmCOjxRfmjaYtwBCJCoSjEhFVJqrKxLQQZkLBcRU8XyGTV8iXZEpliWIxRC6nkM9qZD0dz4mQ9TRqeZ1xw2SlbbDejbOzXOBgd8LzJ1d87bOv8vTJU1bmM5ZmY9ZW5wy6bQq5NKNBh42VJZanA/qNMuVcmnzWJ5/Pkgk8Mr7NzlKX13f3+eDhES8vtnh1e5O393b55OktvvH+I37po2u+ePuQz967z1deXfHi6ozLw2325lPmgx7DVp1+o0avXmHcrrM57XO6ucTdw3We3T7g1eUJr65u8fjimKdXt/jiwxd89dUD7h2vcLTTo9V1KXUMWmOb7tim1bdo9kxqnRjVdpTOQGc0iTMYm/THcdoDm8YgRa3v0uq7tPpJaj2LYl+luaQjhJUbNzAsoCoiUUUiFhbRIjdGzQ0jhMMi4YhIWBVQIovEh28YIBKVCUfkBQgUASUqEY1HMFNxknkLv2FR6MWpjExqwziVToLsDQh0O4QRl9H1xZhZ04QF26gS0RsmMAyJeFy+AUGYfEGhWJYpVWQKxRD5fJh8NkohY+KnVLxklG4lydG8yv2jPleny7x7fpfPPnzL559+yrOnL7l9fsna8pyNlTnDXpdCLke7UWc2HjDsNmnWylQKWVKuTTJpk045jDtVTreXeHC8wWa/zKzmc7TU4u3VPp+/d4evv7nP115d8fmrK77x9iGfPDnn89cP+Oz1Y17eu8WDk31u7WyyOhow6bQYNuvMB31Od7a42N/h7v42D4/3uH+8y/HGnMONVW7trnN9vs8Xrx/x7GKP84NlVuYVmkOH5ihJe+jQ6CaoNk0KdZ1iLUKzHWU00hiNYwxGMboDg+bAot63afVdGr0kxb5FaWRQn5sI0YhI9KcgiIioEYlYVEKLLizbSGRR88MRgUhUJKwuWsOoKhOJSotQ5RsgiChhkZAqE7VUrHScdNEi37IoDRNUJ3FqI5NS2yQoa9hBlISjYJoShi6g6wKavvD1F6wjo8ZkdH2x+OK4IfxAoVCQKZdlymWJckWhWtXIZSO4ToiMF6NWSjJspLm12ePJ7S0+fPmQty+f8PzxNY8fPGRzc4etjW121tfZ31hjcz5ld32J8+MdHlwec7K/zsq0T6OSo9+pcmt3led3Dnj98JTzvRWmzTzjaoa9cYc7O3MeHq7y5HSDFxd7vLp7xLurUz58eIu3Vye8e3CLdw9v8/zimBeXp7x7csXD82O2lqcsDfscb21w7+yEs91t7h8dcn3rmHuH2+ytLrE06LIy7nO4PuPNozu8fniH+2d7XJ6tszQv0+g51LoOlUaCUs0kW9bJl6PUGxH6/SjjcYThJEp/GFtosYFLe5hitBpwfDXg0bNl7lwPEaLqYnlEVRddwCLEn11HY8JN0gVUTUTVRWLaYioY02Q0PYSmL5IVVWXCqkRYV9BsFSfQCcpxSh2L8tCkPk1QGybIt0y8ooaVjmI5YaxEiERcRjdENF0gpi/KjhqTiWkSuiGRSIRwUyGyWZlSUaJSlqhWZSrVMNlsBN8Pk/U1GiWXVsVjUPe52Fvi+dUpLx9fcff2KffvXrK5uk6zXmfQ7bK1sszufML53hrP7p7w5voObx9f8Or+Ge8/ucubh3f46uvH/OrHL/jq8wuujlbZnw/YW+pzvr3Knb1NzrdXuX+4ycPjLR6ebPP0ziGvrk558+CMDx7f5snZLk9Pd3l195Q3jy54/9k93n9yj+vLUy5PDrm1u8Oo1WTUarI27HG8uszJ1hrTXptGpUKnUWNlMuD24S5Pry5479El764vOT2Y0h14lBpxSjWdfFkjKETJFlWqdY1uN8pwGGY4DjMYRugODDoDl+6Sx/XLdX707cf8zrcf8L1fukBQVfFGlInEdAHNENANAc1cdAMxQySmi8QMEc1cTNX0uIQel9FNGT2xEG26qaDpYVQ9hGpEMO3FDDwoa5S6JrWxQWNiUhkkyDRMknkN21Px0hqeG8V1Fv68GRfRjAUAY7qIbgoYN7sOflqmmAtRLklUqjLlaohCQSHIREl5EXKZBNWiS6+e4Xx/lQ9eXPHm2QNO9nY4OdjjYGeHXrtFOZ+hWSkw67fYnQ842Zhwa2vG8caEvaUex+sTTtbHnG0ucbI25HxzxL3dORcbc26tzbi1sczh6oTtpT7HG8tcHW1zfbbHiztHvHf3mPfuHvH8fJcnx5s8Od3m+fkBL++dcedoi9PtZQ7mffaWh6yP+0w6bWaDAauTCbvzGRe7m5zvbbKxNGNtvsLq8hKbq8s8uHPOBy+f8eGLB3z26jGfvr7PvTsbdHo++aJGphDDy8fIFGOUawattkqvH2Y4DNMfhumNDToTh63TOt/91Wv+3ndf84e//oI//oOvImi6iGFIGMbCBTTiIkZcWtTpuISekBbCLSEtxr4JBdMOY1gKpqVg2iEMS8ZIKBhmhJihEDMiGHaUpB/FL6sUuzq1oU51aFDsGPgVAyeIkfI1gsAg8GKkUxGSbpiEHUI3RVRdQDN++jyLsW3WD1HKLQRhpa5QaajUmwlazRTtRpZus8D26pDnj+/w2Qcv+eKj97h1sMXZ0THbG9tsrG2RzQR4bpxmOcvm0pDlfp1+NaBTStMrBwyrAYNKwLCaYVTPMW7mGdYzjCo+K+0Sy50ik3qO5U6ZrVGL7UmXw5UhZ+tjrnaXubu9xMXmlIuNCXc2ptxam3J7e4XTjRn7y0P2lgfszLocrE4529ni1t4uD87PeH51yZPbZ7y6POXdowueXZ5xcbjPxdEB987OuDg64NHtM149vOSTFw/49L2HfPDiPpe3t2l3U6RzUdJ5g6BgUKwa1BoqrXaYXi9Mt6fSHcfpr7ic3R/wu99/xZ/+5gf80Y8/4t/+2/8UQTcWw6CEJRO35UVCLRkjsQjdktASIvrN/bgdwnLDJJJh4o5CIqlg2DK6FUKPKzdMEEZPRHC8CEE5SqmjURnqlHs6uYZGKh/D9lTcdIy0p5JNq2RSEdKpMK4bIXGzbGKYi2eIWzLJpEQmCFHIh6hWFRrNKOVKhFJFYzYqsrc25MnlMR+/fMSXH7/Hr379Y94+e8D9yzvcu3fNxsYu66trZAOPeqXA0rBDp1qgnE1R8i2Kbpyya1JwNHwzQpCIkbE1CkmdnKORS2pkbZVCyqCWdehXAsb1PEudKvNBjY1Rg51xi71Jh+P5gJOVIYezHjvjLhuDFmu9BhuDBtuTNhc7c55fHPHk/JCHZwc8vn3C83t3eHByyIOTPV5cHvPm/i2eX55xvrvN3toaW/M5u+sr7G+sc/d4jxf3b/P6+oqPXj/m7p1NSmUDP6eTLVjkSnFKVY1aI0KjHaXZU+mNTfrLNnt3Wnzv16/54598yn/+Z9/nf/s//ieExahUwnJCJJI3J9sOoVsyuiWjWhKqLaPZMoYdwnQU7GQY+wYIiaRC3Alh2jJ6XCamh1B1Bd1cCLlMIUKpqVLp6BSbBkE5hh1EMewQlhMmlQyTSYXJpiJk0lHSXgTLkbHsEJYdIm6FSNyAIOuHKBfCVMohqpUQnXac2SzPuBdwujXm8zfX/Mqnb/j6+8949eg2Tx5c8ujhU47P7rG8vMLyZMh8MmJ3c41mtUQl51MtZChnXPKOgRcL4UQk4iEBU5EwFQk7LGBHRJyYjGsoeGaUvGtSz7l0yz7dcsCoWWDWKbPcLrPcLjHvlJk28gwqAc28R6cUMG1V2Jr12V0esT8fc7y2xNnWCud762zPx6yNh6xNRmxNxuxNhxzNR1zsrrG1PKbTqNPv91lfW0mM8O4AACAASURBVGVnc4ODjVXOdte5vnPCV1495N2zC/Y3e9Sqi62lbMEgX45RqqlUGlFqXZXu2KC/7LB8UOTZ212++8M3/KP/9j/g//5//x2C7Sgk3QiuH8MNNJy0SiIVQU8qxGwZ1ZZRHRnNkdEdBSMZxkqGcdzwghFshYStELdkjHgITQ+hagq6vti6yeUilKoq5YZGoaqTzkWw3DAxc1F+LEsm5SgEqTBBOoKbXCyIJGwFKxnGtsPE4zJuMkQuCFPJRagWJKZDh/lSln4vxf5Gm09e3uXL9695//oW9w5XuDzZ5f7lJSvzTXrDMbV6mWGrwd7GFrPxlEoxT72Yo17IUEzbBHEVV5WxwyKJkIghCiRCEnZEJBEWcCIiqZiMo4r48Qg5V6OaseiW0wzrWUb1HNNGgXE9R6eQop1LMqgELLXKrPdb7Ez77CwP2Jn12Rh2mHebLHXrdMsBvVqepX6LtWGPrelwAZLVMbd3VznZWWc67DMejlmazJjPpuyuLnNxsMn1xSFvntzjzfU93r18wHzeIcgZZPMGmUKMfDlKuRah0gzTGuqMllOs7FS49WCJ11/e4U/+6if8n//Pv0NIB3GCnEW2kCQoOng5CzswiKdV9KSC5oTQHAXdCaE5IYwbFnBuvsYdhXgiRDy+6Od1XSamKujaYiM3m1Eol1RKZZVsMUIqE8a0FWK6jBpbiNC4JeE4IVKOjGNJ2DcsYDlhLEchnpBxk2EKOZVqUaPfslhdyjAfB2yv1Hh+d5v37h1wb3+Vy/05x5tTru/dY297n0F/yNJ0QqNepFGrcLB/RqczolLKUc9lKXhJcrZONh4h0BRSUREvKuIqIqmITFIVScZEnKiIG5VxFBE7KuAaEhk7SiOw6Zd8BpWAWbvIcrfCcrfC+qDB1qDJzqjD7qjL/qzP7nKf3VmPo/mEk7UZp5szjjYm7CwNmPfqrPaarA27bE667K+MONlc5mBtzsbSlEmvx7jbZTbssjmbcGtvi7vHu9w53uX67h0+//QjXjx/QKPhkS8lyBR0MqUohUqYcj1MvROjN3FZ3Wlw8XiDV5/d5vf+7Lv87//X/4KQzbsUymmKVZ9cKYVfSpHM2yQCEyOtoifDGE6YeDJMwo2QuGEA+yYsRyFhhTBNCV0XF22kKhPXJNK2TC4IUy5EKRWiBNkwjhdGT4RQtYURFNNkNEPCTIjYtoxjh7BsBctRsJzwz/SB7ShkMjE6bY/pOMv6coGDzRbPLre5vrXOnd0ZF7srrE9a7K9PeXz3ks2VVYbdNsvjAbkgSbPR4O7956ys7VKvlWlXStRzAQXXpOQYFBIahXiYUiJCIR4ha4bx9RC+HiKtSqQjEnZIQpcE4mEBOyrhm2EqKZOGb9HJuQxKadbaFTZ7dTaGDTbHLbZHLfbGbfZnPbYmbTaGC32wO+2yPqwzrhcY1vMMGwUmzSqrwxZ7S0OOV5fYnU1ZHfTZnE1Zn45ZHnSYdFssDfpsr87Z21hlb32Fpw+v+Pj9F5wdzSlXbfy8Tqaoki9FKFWiVBoa9UGS0VaNyyc7fPj1B3zvDz7nf/5f/0eEQimgVM1RqmUplH0yJR+vkMLKJjADnYQXw3Kj2G4EJxXFTkUXgtANYydvQGCHMMwbFrjxD2xdxk/I5H2FUiZCMRsl8CPYbhjTUjDiEcyESjweI27HSDgR7GQYNxUj6cawkxHsZATXU0mlVGxHIeWp5PNxGg2b+STH2XaPB4dzTlb77C51mbZLTDsVLo+3uH24y9psRK9WoOQ71EsZ+t0e66ubbK1vsLk8Y1ivUgqSZJM6RdegnDSoewbNtEHd0yk6KiUrSimhUjDCZGISblgkLgvEQyJORMSLhcjqEbK6QtFSaaQTDPIpZjcdxKxRZFIvsNSusDposDFssj3usNFvsDNqc7Y65WR1zM60w1q/xmq/weakx+nmMvcOtzjdXGF9MmR1OmJzPmNtMmR9NmVjaYnV6ZidtTnnBzs8uDjj7YvHfPz2MYNhnqCgExRVckWVYlmnXE9QG3rMDjpcvTrkK18+4pvff4+//Bd/hFAsZyhXc5QqGYoln2wxjZdP4WQSJAID29dxUlEcN3wTEaxkmLgTIuEoJBxlISQTEroho+shtJiMrcmk4zI5N0TBC5NPR0i7YRwnjGWHSVgqtqXjOAaOa+B6Bq6n46Z13LSB62m4aQ03pZL2YgRpHc9btJStZoqj7Q5vHuzx4HDOSrdMr7IQaLd251wcrLIx61PJpiilE7SKaTrVHP1Gg1GnyqBRZGXYp1cpknPiZG2NVmAxzdlsli12qwk2KybTvE430Gh6BmVLJW+ECFSRpCKSDMskwyJJWcBTRAJVJqsr5OIRck6MQipO1jYIbBMvoeGZMfyEhm9p5Nw45bRNI5einfdY6pQ5WhlyOB+wM2mzPemyNe1ysjnl/vEWl4c7bMwmjLtd5qMRu6urnGxtcrK1zq29Tc73N7lzssf1/UvevHzIeFohXzHJlKLkyjHK9QT1vkdvXmT7zoxnn17yze++5td+8Jo/+AffQSiWAkqlNIWCS77gksk7pLMOySCO7Rsk0wZeKkbKjZJ0oyTdyM9bREvBtG46icTCPFJjErGYhG3I+KZCxg6TS4YJkmFcJ4xtKzgJhaQVxbFjuK65iFQcz7fx/DipdBwvbeB5Gp4XI51S8X2dTC5OvZZmeVbmYn/I+/d2Od8YMG3m6VV81odNdmddVodV2tUcWdek7FvU82nKmRSjVpl+PUezFFDOpGgUAuoZl27OYbPh82ipyIc7Vb66V+ajrTxPlwLOOklWCwZdL0bFClE0QmRUiSAqE0Qk/LBEJiYTREWSYQFbEbBUCT0kkAgrJM0YXsIgYydIx3WceIxUwqCWC6hmPfKeRSWXolsMWOvU2Bq12Zn0OFqdcrq5zMnqhJP1KSdbq2wsz5iPx6wvLbG1NGNzNmR7PuFgY4W99SkXxzu8ffmUvf1l/JxKpqCSr5rUB2mWN2ocnA558v4JX37/LT/6/S/40e99xg//o68j5Asu+ZxF1jcI0ga+b5C6Sb6TipHyYniuSjoVJZVSSbkLU8dJLk60mQgvWCAhoZsS6k1JsM0QflwhsMNknAievbCH43EZ21RIWhEcJ4abjOMm4ySTcVzPIuXFcV2DlKfjeTpeWiVIa3ieiufHKJUdOo0kR6stHuxO2V1q0q349CsBa/0a83aBaStHKbBJxyNkbZWSl6BbDhg2cnRKASXfJp8yaeZdlmoBB70MT1dKfOtWhx8+mvB7z6b89oMe37to8a2jGm9Wspy2LJYyUbpOhJqlUDBlcmaIohmhYCqUdImiIeOrEsmohBWVSRkRkpqCrYZwYhHySYeKn6ZTyjOql+kUApr5gEYhoJn3GVYLjBolxs0yq8Mum7MheytjjtcmHG8usbexwvp8meXxmPl4yHzUZWXSZ2M2Zj5ucba/xofvPePexR6lokk2H6VSizOaZjk56fPs8QaffX6PH/3kc/72H32H3/vDX+b7P/4KQi6bIB8YZF2VwI7iu1FSbgzHVRc12Y2SctXFaUxFSbsKXjJMKhkh6YSxLAUzceMuxiVUYzFXcOIKfjz884VVUyGuLYZBlqlgJ8I4dhTHUUkmVZLJKI6r4rg6jhvDTcZwXRXHWTCI76kUcglKeZNpx+fWaodbqz1m7TzNYophPcf6oMpar8i0kSWT1PFuqLkR2PSKKfrVgHouReXm+1HRYaflc71W5Jt3Bvz+qzX+3vtb/MnHO/zJhxv8x29W+cNXM37v6YTv3x3w8WaR222L3YrBPG/SS0VpJBXqjsLAi9L3otQshSAm4sUkXE0kpcv48Rh5N0HJsymlXdrlDO1imm4pw7BaZFAt0qsU6VVLdCtFerUyg0aVbq3MsFlhfdBke2nA2tKI+WREv92m327QqZdp1Yp062U6tTzLwzpX53s8vXvI8e6ASlmnVDMYL2e5c3fCu/f2+PY3HvOTH3/B3/3bv8bv/v43+JXfeIuQz8Qp+AZZO4ofD+MlFFwrimNFse0ITjJMMhkl7apk3CgZN0wmGSZwo3jJyILiHQUzEUKPh9AMCU0P4cYjZBIR/ESYdDxM0lDQVImoKqHrIUwzhBlfTAfj8cUAKZ6QidsLhrEsBdtWsBMKTiJEKhmhmIvTr7vsTMqcr3W5vTFkpVth0i4x79dY6ZVYamXollL4lkbgaBRTBu1ckl4xTa8S0Ch4lPw4g0KSnVbAk5Uyn5+1+M0nM/7oo13+k6/s8599fsRffP2Uv/jijH/4tWP+7NMd/sFH2/yd1xv84HLA5zslPlgv8Hzicadtc1A2OK6Y7FU0plmVmqWQNUJ4MRHfCBHEVZJaCFcPkUuaFFyDQlKn6jvUApdakKSe9annsrSLBTrlEr1alXalRKucp1fMMGpVWZ4MWJmOWBoNmQ16jLotBu0G7dpi76FbL3C0s8K7p1e8//Iuw2GGXDnGYJbl+HzImzeH/PI3rvmt3/iY3/9bX/DDH33Cl7/2EiETJMh6Ohkrgq+H8DSFlBEmGY9gJaJYdhjHjpBORsm4KrmUSs5VySZVAlfFT0ZJ3dR6M66g6TJxM4xnRX+2uu5ZERKGQkQVF9tCscWwaiEkRQzjJkwJ3Vy0jLqxmF+YuoSTCJP1dXoNj51plZPlBhebA863J6yNGsw6ZUaNHP1SikHVp1FIkvcMil6cTsFjWM/SK/vUfIdqYNHK22y0szxaqfDpcYufvFzlj7+yz9//ZJd/+PkJ//hX7vJXf+MRf/Wda/7Jrz3iL791l3/0zXP+yy/P+fPPTviTD7b5u6/n/Phhj18/rfLFVo6vrOV4OXE5bZhM/Sg1WyGbUEhpEp4epuhoVNIWrWyKVi5FJ5+mlU3Rzrn0y1k6xRytYp5qNqAYeBT8FKXAo5L1qecydCpFpv02q7MhW/MZW/MllkZDWtUK1UKOdr3M0rDD6f4Orx4/5P1Xjzg4WKLRTdEceCzt1Lh7vcZHn1zwS9+45lu/8pyvffOat5/fRwiCOJmUThAP42sKnhrC1RSSZhQ7EcVOREhaEVLJCClXxfdUcl6MnLsAQ5D8ORAsS8GIh7CsMGk7QtZSCewwrhXB1MOLxZPoYuys6SK6LmMY4s0ngiQMQ0Q3JGK6dDOuFjHMEJkgQalkM2x57EzLHC03OF3rcrDaZ9ot0a9nKKVNWnmXZj5J2Y9TSJn0yhlmrSLtcppqxqYc2DRyFiu1NGfjIm/2m3z/epk//fyMv/zWBX/xjVP+61+9x3/3g6f8yx++4V/+8B3/4rfe57//jff4Z997wT/9G0/4J796j3/8y+f8+df2+dOP1vj7b5b4wydDfvdhj++dVflg2eOsojHzIzTcKGU3SiOwGBQ8hmWfYclnVs2xVC+y1CgybxZZaZdZ7VbZGLRYH/eYdhr06xV61TLDRo1pu8Gs02LaaTLttlgbD1hfmjAZ9ug2a/SbdYbdJhvzKXdvnfHek2s+/+QNTx6esrraZrxcpTnxme1WuPN4mScvt3n63j4PXuxx8WQbwU+b+MkYgakQaArpWAg3FiJpRLDjEex4FMeO4CZV3JRGKh0j8FSyrkomGSFwo/iuSjoZwbXDWLZC0gnjOxEyVhTfjuAkFDRNJhyRCEclVFVCu1kWSSQWnyNwHBnbWgBBjck3/yFExkxE8NImGT/GtONzut7iZK3D0WqP3XmX9VmbRt4l72qMmnk6JY9q1mZQy7I56TJqFKgEFkXPoJaxGdcDjoYFnm41+OaDGX/nq6f8+bfv8d9875p/9oOn/PPffM6/+p33+Tc/+ZR/8+NP+dc//pR//eNP+Fc//oT/4Xc+4J//1mv+6Xef81e/9pD/6pvn/BdfHPCnH67xZx+t80evpvzwbpeP1zJcNC2mQZROOkrHN+ikDXpZh3HBY6kSMK/nWGuX2ehW2exV2BnU2Z90OFwacDAfsbs0YXM8YmXQZWPcZ2s6Yt7rMmnVWR112V6ZMB/3GLTrdBsV2rUS/VaNjfkSJ3vbvH5yybOrQ04Pljk9XmN1q01r6jLbCNg9/P+Yes/vqrIty/MIea/rvff3ylx5b5AA4UF4713gEQKBEEYgYYQXAgmBvMF7AhNBRBCBDzxCBhvxot/rkaM6O6tHV1aO11mZ+esPiqyqD3uM8wfMvedac801j4WCQic5w9ykFbgGXgK1bAAEmlBf1KH+KMICkYYHIooMQhQVhFgcgEwWhEIZilIdhkoejFoahErij0oSiFIyQBdKaRAKaRBqRTBqeTAqcSAKUQBRUX4Eh/n8z/bxP094+CBEYj+kUn9kEl9kEl8iIwcREuJHcKgfQaG+hEcGolREYDWJyfTqGJluJ9drZGiqh3FD0klwGdFKQnAaZCQ69LiMMuw6KakxVuIsGixqCQZZJDZlFElWFcPiTczIdbBuXByHFmbRWTqOW5Wz+PnAIh4cWszjI8t5VrueZ8c38uT4Bp4c38jDI+t4dLSYBzXFPDy6jvsHVnJvz0LuVEzj+uaxXCkp5HrJMC6tyadlSSZ7izwsT1dS5I4kzxhCsjoQryqIGFUoseoo4rRi4vQSorUiYnQSYnUS4vRy4gwK3FoZbr0Ct0GNQ6/CqpVj1chwGbR47VZSol3kJcdRkBZPboqXjMQYUuI8eOwWnBY98R4Hg9MSKRqaxuQRqUwam8vE0YMZNSKZ7FwjKSkS0lMlpKXLSUhXEZehRdDr5RjVURhkoehFwWgiAlFFBCGNGFDzJKJgJNIAZPIg5KpQFOow5Mog5NIA5CJ/ZFF+KET+qKQDQFDLg9EoQ1DL/3wdJAFERPkSGuFLeGQAEaIAwqMCCIv0IyLKjyjxICTSgQGRVOpLlMif0DA/gkL/nEb+SS9GfRgpMQryEg3kJ9sZmZ1IWqwVgyISoyICmyaKaLMSu0GK3SDFppNgkEegl4bj0itIsmnJjzVTlGphxYho9sxNp3XtcG7unM79Q4t5eHgpT4+t4EX9el6eLOPlqXJenN7C84Zynjds4WldGU/rNvO0vozHx0t5cHg193bP4/aOqdzeOoFvN4/maslwLqwtpGVBBkcmRbOt0MTSFCnToqMYZY8kWx9MqjqIZHUo8eowPIpQXIpQXIoI7LIIHMoorMpITMoozEoRRoUIi0aOU6/CZdDhMhlw6nXEWo0kuq3EuyzEOSykxA5IyUmxLrJSvIzIS2dUTgKTh6cwa8owisYOZszwJArzrWSmSkiIjyAhSUx8kpTYZBmCzazCZpTjMEix6aUYNSLU8ggkohAiI4IRiYOQSAOQ/ynYqNShKFQDMq5I5EdUhC/iSH/k4gCU0kA0yhA0qlB0ihA0f9YKUWI/IiUBSBUhyNVhyNURSOT/2Yb6IZUNjJ0lMn/EkoExdHBIAMGhAYRH+iOWBGAyhhPvEpOdZKQg3UNGvAOrToJFLcYoD8MgC8Hr0GI3yFBLgzFrxVjUElw6GYk2PdkeI8MTTMzKc1I6MZEjS3I5v2kcP1Yv5GntSp4dX8Xz+jW8Ol3K2+btvG3dyZvWCt62VvC6dQevmrfxumkHLxsreN6wlafHS3hwaCk/7J3Hdztn8N2OydwqL+LW5vFcXJFH67wkaie72TvGwubBatZkKZkfH8FUZyhjLUHk6wLJUAeRIPcjRhaISxaMUxaMXR6EVR6KRR6OXSXCoZFjUyuwapTYdGpsejU2gwabQYPTYiTB4yLB5SDeZSPBbSUjMZrRBZnkJDmYODKVZQvGMXF8DsMGuxmcrScrRUZcbBiu2FBcXhH2OBmCy67BZVfjdmiIcRvxuE0YbRpkmihEklCixAOavlwRgloVhlY9AASxLIBI0UBLGB7mhzjKf8AboAxBqwpDpwxBqwhBIQ9CqghErg1DZ5ZgtMnRW+QodWIU6kjkqmCkMj9k8j8nk+IBu1pw6P8CgUQWgFY3EPyQEacjJ8FOstuEQy/DohahFgUSbVbgdejQSIOxG2U4DHI8JhUpLiMZbhN50TqK0iwsGxHNrjkZNBUP5/bOqfxyYAHPalfyvG4Nr0+v421LGe/ad9LdsYfujkret1fxrr2Kd21VvGnaxaumnbw8vZ1f6zfx5NhqHhxYyv098/mpahY/Vs3g3s4p3No8msurB9OxKJWmOV6OTrSzd7SJ7UO1rE+PYnlSBHNiwpjoCGakOZjBukAyNEEDtKEIwC0PwioNxqYIx6kR4dYrcRu1RJv0xNjMRDss2E063FYzHqsZt8VArM2I26Ql3etmaGYiKdEGRubGMH/GEObOHsawIW5SUhSkJslJSBQRmyzB4hWhiY5CcDk0eFw6vNFmkhNcJCZF4/LaUVuViFURREmDEcuCkCsHYtW0mgEQyBTBA1aw8EGEhPgSHuaLRBqARhWM9n87KnUICm3YwDJqjBZbjB6TQ43WrEChESNVhiGRByCV+SGV+COK8iU83J/QMH/CwvyJkgwkfql0YRh0EWSn2hg5OJl4hxG9LAKDPAyrNor0OBtmZTgWdRRehxaXQUZGjI10t4EMj47hCSam5zhYX+Tl0OIczmwaw709M/jlwGx+Pb6C53VreNdUwvu2Mnq6Kuk5s5eezip6O3fT3V7Ju9advGvdyfu2XbxrqeT16W28rC/l15pVPD6whAf75nN/z2zuV03n/q4pfFc2lqur8+lamEzb/ATqpnk4MsHOnuEatuRIWJ8WxfKEMOZFhzDdEUyRNYgx1iCGGINIVweQoAomThWKWx2BRycj1qgmzqgl1moe2FuwWXAbDbhMBjwWPRaNDKdBS05KHLnJMaRHGxmcaKZoZBKjRiUwON9BZraRzBw96VkakrLUuNNUGBOkCFa7Ck+0ifh4JylpcSRneIlNi8HmtaGxKpHpxMg1UWj1YnQGETpdJBrVwA2XSAIIDx9YUQ8J80Es9kejDEGnCkGnDkWjCR0YaVpEmDwqXIlmXIlmLB4dOosaqUZKuDSEKIk/ItFALFxE5CDCIv0JjQwiUhSEWBaCRDGQ3GUyislLd5GX4sFhkKNXRGBURmDRROE2ydFLg4m1qvHaNaTFWslL9JDm0pEdo2NUkpHFhR62T0uidlk2l7aO4/6BWTw5Mp9fjy/ndUMx79s20de1jb6uXfSd2U1fVyW9HZX0dOyip2MXvZ0D390tFXQ3bedNQykvTqzlWc0KHh9cwqP9i3iyfz6P98ziwa6pfL9lHNfW5XN1bQ6di1M5PctL/VQPx4pM7B2uojxXTEl6FKuSIlnqDWdBTCjT3cEUOUIYbgllsCGEDH0kiQYJ8QYZcQYVHpMWl0mDTavEoVFh0ygwKkUY5FG4TRrSvE7ibFoyoo2MH5rCjEl5FAyLI39YHKPHJTN+YjLji+IZMtxFRr4db4YRQWcQYXbpcCU6iE+PIzErHm+Wl5iMGKxeC1q7Go1ZidGiwmxVYjJJ0GnCUMqDkUgCiYj4s6+PGIRI7I9CEYRWHYxWE4pGH47GIkLvkGOO0eJMMOGMN2GNMaC1qBGrxQRFBRIaMZBqFikacCqFS0KIkEcgUUUhU0UhVUei0UdhtytIT7CQ4NLjNKuwaKVoJaHoZSGY1BEYVeEkunRkJThIj7GS43WS4daTH6dncoaNlaNjqJqdTEvxEG5VTubBwdk8OjKXFydX8K5xPe/bNtHbuZXe9u30tFfQ01FBX+cuPnRV0t+xi/7OXfR17KK3rYLelm28O1XKq7pintUs5+mhpTw7vIwnhxbxpHouT/bO4tHu6fywYzx3y0ZxvXgYZ5dk0Tk/haYZbk5MsXJonJ7dhUq2D5axOVPM+pRIVsSHsTA2jBnuECa5ghntDGewNZx0QxgJWhFuZRQ2ZSQWpQirUoxeGoZBFobLMGB3cxlkxFrV5KdEM21cARNGZZGbF8OIUenMml3I4kWjWThvKDOm5zJqTCpZuS4EtTocuS4SnUuLM8mJN8tLfE4C3qw4PCkOrF4T1mgj7mgjMTF63A45VkM4GmXQQOUfOYiQ8EGERfohlgQgUwahUoeg1oWhMYnQWKVoHXIMbjXWaC1WlxaTXYVaLyVKFkZgeABhUUFEiUOIkoYglochVouRGRQo9HIUWjlyrQSlOgKzUUxqnJGUOAsOqxq9KmqgklZHoleE4DRJyIg1khlnJTfBRY7XRo7HwJBYDZNTjawaYefgglQubhnD93um8/jQXJ4dX8jLk8t511hMT3sZfR3l9Ldv5X3zFt63lNPXtoP+th30te3gQ3sF/e076G3ZTm9zOd2nNvL25HpeHl/F6+OreFW7kl+PLOXZwfk83TebJ3tn8aBqKj/vnMK98vHc2jCSa2vyubA8ndYFsZycbuf4FBuHi4zsG6lhV4GcsgwRa5PD+SYpjIXeYGbHhDDJGcxwYxDZ2lCSVME4JIEYREEYxMFYlRE4NWK8VjU5XgfJbgNeh5bBqbFMHjeUiWPyGDIkiVFj85gzfxxr1sxk5fJJzJ83iklThpA3LAFBqQpFIgtEpo3EGGPAleIiLj2WuFQPsalO3Ck24lOdpKXZSU81kuxV47FFYdQEIZcOeAtDI32JEPkPDJyUwai0YaiNIlQWCRqbArV9IKHEZFcO5PfpIlGowhBJgwkTBRMpDkEsjUCsjEKmkyI3qlGbdGiNatRGFSqjDINZhtupJifFQVKsCbtFhc2oxKqVYFCEYVKGkuBUkRVroCDFTW6iixSXhlSrjHy3nKkpGrZMjqN5bT63dhXxY/V0Hh+ew6u6pbxqWEF3Uwl9nVvpb99Kf2sZPY2b6Wktp7dtB31t2+n/Ewz/ef4TBO9PbeBd/Tre1q3lzYnVvKldxZujS3m+fy5P9s7k0e4ZPKicxs87J/Hzronc2z6OO2UjuF6cz7llqbTNj6VxtpNT060cK9Kxb7icHfliSrMiKE4LYXVKKEsTwpjhCmKUJYh8YwgxsgA0oT4oQwehjQzArowk2iAjyaEjw2snLc7K0KwE5kwdw4yJZg0JhQAAIABJREFUQxk9NpthY3OYMmcMS1fNYOWaGSxYNIGiqYXkDk9GUKpCEEn8iZAFoDCLsMQZcSXY8CTZ8KTaictykZnrIT/XweAsA9mparyeKMyGgQgXsdifCLE/EmkgMkUQclUIKn0kWosUjU0+QCd2DXqXFotD9SedhKNSDZhGxPIIRPJIJBoxcoMCpUWLyqZHazdgtOnRmdSozCq0RjlWk5SMJDup8TYcJiV2gxy9Mhy9OpJos5zsGD0FSTbSoo049RIcqnBSLWJGx6lYOdzBsUWZXNo8gh/2TubBoek8rZ3P87olvG1czfvmEnpaNtHXWkZfcxn9LVvpb99GX8d2+tq20tdaTm9LOb0t23jftIWexs30NW6i79RGuuvX87Z+HW8b1tFdv5bu2hW8ObyI5wdm83jvdB7vmcHTvbN4tn8Oj/bO5P6uKdzbVsTdsjHcKCngwop0OhfG0zzbRf1UE0eKtOwZqaBiqIzyAjEbc0SsTI9idlwIRY5AcgzBGMN9kAUKyIJ9UIf7YRQFohMHoI7yQyMLJsFjYtywDKaOy2fIsFRSCuIpnJLPpDmjmLFoAlPmjqWwKJfkwXEIMkXQgFtY4o9MG4rBrsQWa8KaYMaWbCI2w0pGtpmheUYK87QUZCpI8UZiNweiUfkjlwcgVQYNpGypwlDoolCbJWjtCrR2NXqnHoPLiMljwuLUYbYoMOjFaHUiFOooJGoxMoMcpVWF1mlAF21GG2NG4zaicxhRmVTI1RIUynCMJgk5mXGkJ7r+nA+EYlJH4DTLSXFpGZJoI8GmxKwIw6oII04vosCjYF6OkaqZXrqK87m9Yww/75/Go6NzeF63hJd1y3hzaiXdTevpaSmlr20L/a1b+fAnBfS1b6OvdQAEPc1b6Gkup7d5C/3NZfQ3baL31AZ6Gjbw7uQ63tSt4V3dGt6fWMG7miW8OjyPZ/tn8mz/HF4cXsCLw4t5dmgxzw4u5HH1XB7smcNPu6Zzu2wsV9YN4dyKLNoXxdE4183JmS5qJlk5NNHIntFqtgyRsTozkgUJIYx1BhMj80MRJCAJ8kEe6os61Be9KBCtyB+DIpzMpGgKMpIYnZ/J+HEFeLPdxA12kzM6nYJJ+RRMyidjdBrRudEDIBBJAoiSBCBVhaIxSzG6dBhj9Ji8GtxJatIy5AzJk1KYL6EgO5LU+BCctiD02gH+V2nDUGvCUevFqM0ytDYFGrsajV2L3mFA7zJicJsw2vWYbZoBU6tZgcooR2lSonXqMUSbsXht2BLsWLw2DNFm1HY9SosSlU6MySghNsbAkMHJuCwqjIpwHDoJHouCGKuczGg9GdEGbOoILPIw3MpQMkwRFHmlbC1y07omj2+3jeHHqgn8sn86Dw7P5dmJJbxpWMXb0+t431pKb9sW+tu38blrFx/ad9LXsZOPZ3bzoWPXn4CooK+tgr7mrfQ3l9HbvImextL/SQnv6tbytm4N706s5N2xZXQfW8qrwwt5c3Qx3SdW8ub4al7UrOTlsRX8enQFT48s59GhJTzYv4Afd8/kzrYirm4YyoW1uZxZkUnrklSaFyfSMCeagxMM7BiuYH2OiNneMLIMIWhDfRH5C8hDB4ywmnA/zPIQLOooBqcnkJuWyLihuSxfMoOEbBf6WCXONCue3Gi8Q+PwDnETm29FUKiCB5JFJf6IVSEoTBK0dh0Gtw6TR4kzTkJyWgR5uSEMGRxCXnYoKQnBeJzhmM0i9EYxeqMYo0WGwaZEZ1OgsynQWBWorCo0Dh16twm9x4TRacTk1GNwaAdowqZB79JjjrVijbdjT3RgT7JjS7BhjrVi8BgxufQYbQo8Hg0F2bFkJrqwqKOwqaLwGBXEWFUkOtRkxRpx6sVY1VE4VZEk6cMZFS1i3VADp5akcnXzUO5VFvHz/qncr57BoyMLeHlyBd1NG3jfson+zu18OLOTD+076W+t4FNXJV8u7uXThf18Ol/Nh3P76D+3l49n9/GxfRf9rdvpadlCT+Mm3p/eSPfJErpPrudt3Vre1a2m58RK3tcu592xZbw/vpz3dWt4e3wdb06s403dOl7XFfPqRDHPT6zh+Ym1/Fq7hocHl/LT7lnc2T6JG+XjuVQ6mgsbCjm7JodT8+M4MtXGztFqVmaKKbSHYRX5EeUnIA4ehF4UhCbCF7M8GIcuiswkN6leF6leBxNGZ5OdH4spVoXJq8WcbMCZbcCbryF+qApBrgxEqghArAxErAlGbhajdegwOAdAYI8V400MIjPdl/xsf7IzAkiMD8btjsLmkGJ1KLG59dii9Zid6gEgmBSoDTJUJjkqmwqN04jeY8bgMaJ36dE7deidOoxuA+Y4M/YEB/ZEJ/YEO7Z4G7Z4+wAI3Eb0dh1asxS7U0p+ZjQeuxq9IgSTLBynQU6sTUNuvJV4qwy7VoRTK8KhCCXDFMyqoQbqFyZxYX0Ot8pH8nP1ZH45NIsHh+fx/PgKuk9voL99G70dO+jr3EX/mUo+dFTS07SDT11VfL20ny+XD/Ll8hE+Xz7Cp8uH+XLpMF/PVPOlczf97Tvpb9tBT9MW3jeW0tu4ke5TG3h/cj09dWvpObGK98dX0lO3ht66YrpPFPOurpjXJ9by9mQJb09t5E1DCa9ObuBl/QZ+Pb6OJ4dX8POBRfy4bz7fVc3m2x2TubxpOJ2rMji9KI6a2S62jDExOUFKrDoYRYgP0qBBmCRhmGTB6CQBmNXhWPViTKoo7HopmfFmxhYm4kxQY4hVYEtT4c6R4y2QkTBUjKA3BGOxRmJ1iLG4pBicMvRODQaXDpNLhSNaTKw3iOSkQWSl+5Ge6kesNwhHtAhnnIroJAtxKS5iEm3YY4zorSrUehkqnRyFQY7CpEBl1aJxGNC5jWjdBnROHWanAXu0GVucA5vXgd3rwBpnxRRjxBRjwBSjx+DSoHaoUNulzJ83lrN1RzhQWkx+YixGlQynWUl6jJF0jxa3UYxJHYUmyh+nfBBTUkTUL0rmaslg7pYP56fKiTw4NIufD8/j8bHlvG0so69jQBTqPbeP3rP7+HB+Px/O7OfzuYN8vnCIz5cP8/nyEb5cOsJvFw/xl0uH+HrhIJ/OVfPpzF4+dVbxuatyAAjNWwao4XQpPac20nOyhN6GErrrinlfv56euhLenyih++QG3tav521dMd0NJbypL+bViXW8ri/h5Ylinh1dzdOalTw6soxfDi7mbuU0bm4by6WNQ+hak0XTslQqp3qYl6MnzSJGG+mPMjwAgzgUkzwUvSQIozIMvSIMpSgYgzyMJLuU0fluYtNUGBNEWDIi8eSHkzg8kuQRkQgxHglxbgkxHglxCSpikg0Yo7XoXVqMLiX2aBExscEkJvqSluZHSrIfnphAPF4F8WkWkrNjSM/ykpDixBZjRmtRo9QrkGsVyHRyFEYtCrMBlc2Axm5A6zCiteswevRYvBZsXhuOeBOeFB3RKWo8qUq8WQqSc1Uk56qJzVIwfUIKj1qP8PVyB69PHqV6wVyy42JwmFWkuLUkWGXYNVEoIwOxyUMY7Ahn+2QPlzcM4U75KH7ZM42HB+fw8+H53K9Zxq+nS3nXVkF3eyU9Z6vpu3CYnnMHed9VzYfzR+g/f4T+84f4eOkwny4e5sPZfXw+U8Xv53bz29k9fD6/l09du/n6v4Ggr3U7vU1b6G3cTH/TpoGisXEz3afLeN9YRl/zVnqbttHbsp2+1gGxqaepnO7Tm3hzsoS3Jzfwuq6EF8fX8eLEWp6fWM2jI8v4Yd9sbu+cwPXy0VzYOIyu4gL2z01k2RArBR41Bkkg0jB/FOGB6CTB6CXB2NRR6GUhA4M0TSiJLhE5WWpi0iTYUkXYs8NIL1IwZoGNyd+4EeI8UuLdUhKiZcTHq0hMt2D1GtC61Bg9SuzRUbhjgkhI8CMlyZeEeD880SHExqtJSXeSlhFNRloMiUkOLNFmNDYdCr0KmVaJ1KhGbtWjtOlR2w3oXEa0Di0GpxK7V0dMqomkHCPZw7QMHSNl+LgIRk8KYtKsQGYtCGHBEglLV1i5vmsGPy8by49LR/Fw3XTOLp7ExNQYYmwa4h0aog1STJJgTNIQ4nUhzMtQ07g6j9s7x/HD7hk8PLSYRzVLuF+znEcNJTxr3MSD48X8dGglPx0t4aeaUu4cWMPF7Qv4bv8aHp4o43XrLvrO7eXjub30duyir3UbH1rL+dC6hS/t2/jatp3fOir42rmLj+076W+roK95Gx8aN/OxpYxPrQNdRm/LdvradtLXUUVf114+nKmmr3M/PZ37ed+xl572Srqby3l7qpS3Jzfy8kQxL06s4/mJNTypWc6P+2dzu3ISN7eP41r5GM5sKOTo4nRWjXQxPM6AWy9GFhGAOMgXZbgfmkh/rPIwzIpwDMpQUr0aCoZYSMgWE50jwp0bRcYoBXMWx1BWls+e3WMRYl0yvG4ZCbFykpK0pGTZsCUY0biUGFwyrK4IPJ4AEuP8SYr3wxM9CKcrmJhYBQleM8kJDpIT7HgTbFg9JjRmPQqdFrlBi9xiRO02YU4w4Uw2407S40xQ4E1VkJWnZfgYJVNniJi/MISl3wSwcvUg1q4fxMbNAjt2COysCKbhQBoPNo7gQmIEN8Y5ebhiON8uLGR5posUuwarOgKzMhSzMhyTNJA0YxC7psZxZ9dE7h+cxcOaRTytXcHj+nX82ljG86ZyHh5fw3f75nNuYxFNK0dyfEkh+2blUDUjkyOLhnF6RRHnNs3k++pveNO4hf6OnfS17qCnZQu9TRv40LCOz6c28LVlC1/bt/O5rYK+pq30NZbTf3oTHxpL+dC8mf6mLfS17aS/ay8fzh+k//whPl2q5ePlej5dO0X/5Tp6zh+mp2M375u38q6xlDenSnjVUMKLumKe1q7ix/1zuFs5mduVE7mxs4jODcM4MD+VpcPsDInR4NGJ0ElCEAcNQhbiizx8EDpxIDZFJE6jhPwsK4WjbcTmiojNjSJhiJjxc5xsKi2gds8U6vdMRXC75MRGy/HGK0nNMJGUZcccp0PrVGBwiDE7QnC5/UiI88Mb64vd4YPF4o/DHoXbriTGrSc22oQr2oLerkeuVyE1qtG7dcSmm8gdZWXUFD3jp6gZN0HGmHGRTJwYwcwZESxZHMT6tYPYViZQuV1g906B6n0CRw4KHKvx4fgJOT83FPFwahLX0lXcnpnOj6uGcW1uGsVZJmKUIZhkwTi0EZjV4RjFPoxPktK+aQRPjy3kSd1ynjSs4tdT63jetJF37dt4eWoj3+2ey/UtRZwrHkHNnBTKR9pZk6dnbYGZ1QU2Vg11s3pYNOUT0zi5ajTfVy/lVcMm3jdvorthDX11K/hQt4r+k2v51LSBz82b+di4mU+nN/GpcRMfT5fS17CB/sYyPp+p4sOZffSf2c/H80f5dKWezzca+Xyzhc/Xm/hwqZaern10t27nfesW3jWX8ep0KS9PbeRp3WruH5zH3d1TuFU5kRs7J3BmwwiqZiYxNUNLhkOKQxWGXhqCNMQPUZAPslBflBEDrWK8W05ejp6MfCkxuaFEZ4cRlxfFxPludu8cR+3OKRzfNRVBZ4jE4VIQn2QkKdWKO96A2a3B6FSis0dhdAThcPnhjfUn2uOL1eqLQeuHUReKSS/GYlFisxvRmXXI9CrkJj2OZB0jJhr5ZqWW8jIlFdvC2VEWyJaSADas9mXjSl+2rPNlV5kP1TsFju4TOH5QoL7Gh6Y6H9oa/GlvieLmhRRe7R/PnRQ5N3Ot/Lh4GL/umM69VUOoKLCRpYvAaxCR6lLh1IaSag1j54JsHjWu4XVrCa/aNvGibSMvWjbyorGYVydW8uTgfL7bNp4r6/K5WlxA5/Isjs/2cmx2ArvG2lmbq2VuipLxHhljo1VMSdGxdIiTXZPT6Fo/hrsVU3hzZDF9tcvoObaE/vrlfDq9jo+n19PfsJaPp0r4fHojn06X8rn5T+GpfScfO/fw5ewBPl86xtdrDXy+2sDX6w18vHiUnjP7eN+xk+62bbxr2ToAhMaNPD25ml8OL+CHfdP5ducErmwdS+u6oVRMS2JMkhKvMQqbMhSdOBh5mD9RAQKy0EGoowJx6KLIStGSkSMnZYiYpIIovPlRROdEkTdBT+mOsRyunEbNjkkIYlkgKn0EFocKm1OL3aHGZldjtivQWiPRWwOwu/zxuP1w2H0xGwehU/qhlAehVIrQ6RRo9VpkWg1SgxJ3soYJ09WUl8moOxRIR8MgzpwSaDkuUH9I4EiVwOEKH45UCNRUCdQdFDhVI3D6mD/NJ8Jpr4+k47SU810Ofr06iWfLcrjoCOT2WC9vts3i3f4FPN5WxLFJXibFKsmP0ZFuk5FuE7NsTDzn9y7i3aXddJ/fxesz5bzuKON1WymvT63k6b6pPKocxy87RnFrXTZXV6RzsziXa+uyuLo2kxvr8zi7Ip26WTFUj3ewfrCaidFhZOsDGawPYlGqgn0TPFxcM4QHFZN4Uz2D/iML+Hh8Ob3Hl/O+9ht661by4WQxHxpK+NhYyofGUj63beNz23Y+t1fwsX0Xn8/s4/PZA392IQfpP19N75nd9HZW0fNnp/GmsYRn9Sv55fB8fqqewc0d47lUNpLmtfmUT4xnZLwGh2rgxyTaiACUob5Ig3xQRvijl4WR4NIyYqibzKEqvAViUoYqSCyQ4R0sw5EnZvBMF6U7xlC1azyCVByIQhGGTi/FbFFhtSowWZUYLFK0pnAM5kAcDn+cTl8sFj902kGolL4DK2kKESq1AqVWhVSvxxyjY/REBWWbgmg+EcC3ZwW+v+LDd5cFbpwRONco0FQjcGq/D6eqBU4eEGg4MojG2mBa61ScaXByucnLxbZYvr+WS3/XfO4MtXA1S82rskn07l1I9+55PC2fQPPsdGYnyCmMVZHnkrN8QjYnN8/mYcsOPtyooedyNW/P7eD9uW30dmzk1fH5PN47nocVw/lxUw531qVzc3UaN1amcmN5KtdWpnB7VRa31mZyc00KN1ekcHV5Im3zotk7zsraHC3L06SUDdFxdLKLy8szebxtNO/2TKH38Gx6js7l/dH5dB9dRO/xlfSeWEtf/Rr6T66lr34tffXFdNeu5t2x1XQfX0/vqS30NW/nY1cVH85X03/+AL0de+hp28m7pjJen1rP09rl3D8wmx92T+P6lrFcLC2kYVkmq4baGRarxKYIRh3mjzYyAEXYIFSRAehloZgUwQxJtzNlcgZZhSZSC3UkDzeQVGjEW6DGmS3FlB5G0ig5kxZGI8ijApCLQ9CqRJgMUkwmOUazHJ1RjM4YiskchN3uj802CKNxEBq1759uITEqoxKtRYPSYkLtNJOaq2XJ0nBq9/two8uH+98KPPreh59uCdy86MO5Zh/ajgs0HxRo3C9wsnoQDQdDaT1m4MLpJG625XHv/DDu3x5Kz6Mp9B+fxqU8PS/WjKVv32LeVc7m9c6ZvNwxh+83TWLvBCfzUiUsGBbLgeLZXDu4nncXD9N/s5beq/t5f6mS/ss76G1fz4ujs3hYOZr72/L5oTSLb9ek0zTLRfUoA5vzdCxNlbA8XUFJjoZdhUZqp7jpmBXLxfmxXJ4fw7m50bTPjaZxVjTtc2O5siyZH0vz+bViFG+qJ/D2wCTeVE/h7YFZ9NUsobdmKe+PLObt4UW8PrSQ1wcX8frAIt4eXkp37Rq6G0rpPr2FnpYd9LRX0te5j+62Kt627uRdYxmvT67jSc1S7u2Zzu0dE7hSOoLzxQUcmO5lfpaRPIcUlzIMVagfyjBfdJJArMpwLKowos2R5GdayBlsISFXS2qhidRCM4lDTcTka3DmyHBkiXBmhZE8JALBovdDLh2EVBaKSh2FRidGqxeh0UegM4RiMgViswViNvuhM/qjN4WityoxuixY41zYkz24Mz2kFzqZPENO+SZ/Wo4L3L4kcP+ODz/f8eHWZYFzLT601Qk0HRI4vU/g9D4/GveH0XRQxrkTHu505vHzleE8/W44b5+N5K/vFvBqzzh+mpNF/55FvN46g9dbp/K2Yibdh5fxpmYRj7aP5PSCNKoWDudk+QIetVXRd62W3uvH6Lt+iL6r++i/VEFf1wbeHF/Aw8rx3Nucz7kFsRwuVLExOZypVn/yFL6MiFbj1UcQqw4jRuxLhtaXiY5Q1iRHsX+YmuZJFrpm27m0KJqbyxO4uyaVHzdm8Wz7UF7tGcOrPeN5Xjme13sn83bfVN5VT+PNnik8q5zEk12Tub91Ar/smMrrw0t5f7KEd41ldDdvpbtpB++ad/GueTfdbft407abt6e38upkCc9OrOTenplcKRvDxQ2FdK7MZudED1NStKRbRHjUYRjFQeglIdg0EVjlYeglgbhMESTFq/AkyonLNZI81ExKoYXkYSa8Q7W4c6V4ciUkDpYweJgMIT9rEA6bgEzhh1gehEw9sFug1UegM4ZjMgVisQZhNAdjsIZjdCowx1pwp3nIHZXMpLlZLFyexNq1TrZuEFOzx4euUz7cuCDw/TWB2xcFLrT50F7nQ+tRHxr3C5zaI9C415/WQ5F01Mq42mrh5+tJ/PpTOm+epvG5L49/+LiQ17WzeFM2lbebJvF09UgerRnFrxvH86x8HD+VDubX7SNo+iaPygVDuLxvGW/P7uHDjVr6btbS/+0xPt04zKfLu/lwZjPdDSt4vHcaN9Zl0zLNSc0IIxXZSrYONrCl0MnG8cmMTDVRmO4i3iInQRtCktqPUdZg5jgDqMiWUzNaRdMkDVcWublXnMwvpek835HDmz3Debl7FC+qxvNqzwRe7y3iReVoHm8t5GH5CL7bkM+ZxRl0Lc3nYvEYrmyZwo2dc/l+31J+OLCMR8eKeXmqnDetlbxrr+ZN6x5eNW/n1/oSfqqez+WysVzeNJqOVblsLXIxIk5OoikClzoYg9gfnTgIbaQ/VmUkBlkwsTYxOZkW3EkqorP0xA02kDDMSOIwA/FDVHgGi4jNFZM+RMrQ4VKEhTN9KBzmS2z8wE1XqAJRayPQGSPRGiPQG4Mwm0LQm0IwWEUYXVpcqQ7Gzkhlc3k2xw9n0VwbS+tRDU0HA+mo9eF8kw9XOgSudghcaBXoqBdoPiLQeFCgab9A8/5BtB7y50xdEOebA7h+KZhHP8voea3jY6+Nv/6Wxj98nsX7tmW8KpvKL/Oy+H5aCvfmpPHDwlQuTnBwKCGQq4tTqJ6TzJGVI/ixdi09F6r5cLOOvlv1fLxdx6cbR/h0sYoPnWW8b1rH86MLubdtDDeLh3B51VA6F+fSMjeDtoW57JmWzLQMPUOiZWRaZaQawlg0wkPJaA/zPKF8ExPOlgwRx0braZ/l5O7aFJ5sz+X13mG8PzyBt4em8LJ6Ei/3jufJ9kIelg3mp/UZ3FqVyrkFcdSMs7A138jSVCVz0jQsyLGwfkwCWyamUD0nh+b1RVzcOpPv9q/ix2Ol/Nq0kxent/LTgSVc3jKOCxtH07oiiw2FZnKskXiNEcTpIzFI/FFH+qMO98OsCMGmDiU5TkFCsgJXkhxrkhxXtpKYAi3xhUYShmmJy5eSkC8hc4iUgqEShG0bfFi8cBBjinxJyQjAYPVHq4/EYIxCbwpBbwzBYAhCZwxFa5JiiNZQMM5KZWUiF1tj+OmyhV8uS/jhbCDftghcaRK41CRw7rRA10kfOusF2msFWg4NAKD1kA/tRwW66n043ypw7bLA9z8IPH/hw8cPfvz2VcIff8Txl89j+XhhJb+um8CdomiuDrNwc5ybu9NjuDhMz1G3P83jHeyaFkfr5gk8aijm/aWD9N88Sf+d03z5rpEP14/y4XwlHzrL6Wst421DMU8OL+SX3TO4U1bE9Y0jub1lHNeLh9PxTS7H5uWwYrCNUS4RY2PFHFhcwOF5GRRnqlmXqqQ0Vcq+QhONM2O5sTaNZ7uH8u7IBD6fWsqnxlX0HF/C24PTeVRewHervNxc4uLCPDttM6wcKzKyIUvGZHcoOQY/EtQBpBpEFNhVjIvXMi/HSunoeHZPz6H2m5F8f3gNb1oqeHhsDZe2TOBM8XBOL05nebaWZG0ILnUIXqMYozQAVcQg9JH+WBUhxDlFZOeqSR+sJCVXiyddiiktEmu2jJh8DYlDtSQPVZM8VEFavozMPDnCgT0+bNkksHSZwPiJviRnB2J2hqE3R2Ewh6HXB6PX+KPRhqM2ikjIULJyjZ6ORh0/35Dx5sdAuu8LvLwr8PMlH261+XD5tA9n6gXaagRajgi0HhFoOTxw2mp86GoQuNQhcPOywA8/CDz9VaCnT+C33/z4/Q8xf/k/Pfz1bxP4eGUdz9dP4eYoJ13pMm6MtnN3oofO9CgaMsJonxnN/nkp3Dm0mBfNpby7sJ/+b0/y5Yc2vnzXxKcbNXy+uJvPXRV8OVvJx84Kepo28qr2G55Wz+X7rWO5tXkE35WP4bvykZxbmc2JGV62DjexPldNSZ6WdXkGNubbKM02cnCUnUPjrJyak8iVddk8qizkTe10vnZt5rdzu/jUvpnuE4t4UJ7LpQVGWqcqOTlextGRYvaPlLJnuJJdBQrWZ4qYnxDFRE8ko5xR5JtDGWYXMTvFwpphcWwel0TdirHcObiaR3Ububp9Oh1rh3JiTjLzkuTEKIKwywKJ1oZikQWgE/lhkQXgMoYyfrSZjevS2Vacxep5CUyYYCc2W4olXUJMrpbkoUbShhlJHaYjabASb5YUobZG4OA+H7aVCyxbJlA0OYC0zHBsjnCMxjAM2gB0Kn8UyhAM9jDGFkWxvzKU7y768upHgf6nAh+fCbz50YefrwjcaBU4Vy/QedyHlsMCTQd8aDoo0HJsgBa6Tglc7BS4eUXgx7sCjx8KvH43iC9/SPiH/9vMP/23GP6vf0nmn/55Dh9vrOPlpul8O85LR5qCm2Os3BpnpTkrgrvLs3hSPZfm4uE8OLWeV+3l9F46wMf/6iAOAAAgAElEQVRb9Xy518qXOw18uXGEr5f28JfzVXw9V8Xns5V86qjg/akNvDm2nCd7Z3J/xwRulw7n+rosrq1O4+JSL03T7RwYoWNbroqyLA0bs3SU5RmonxLHqZnxtC3O4Nr6bB5VFdLbsIS/XKrmjxt1/HblAD2Na7hbmsXJSQqqhkSyOSOMkuQQNqaEsTVbTPVQMfVjVTRPMNFYZKV+vJ3dwy2szdayOFnBknQDJUNjKB+XQO03hVzaMY+rFbPoLB7GsZmJTIqOxC4NwCL2I1odhF3qj0UWikMTSkZyKDUHUrl7ZhyXago5ujGdFXM85A7XYkuXE5tnIjHfRHKBkaQhBuJy1TjTpQg1R32oOyZweJ9AxRYfvvnGhzFjA0lMCsZkCkKjCkQuD0Sq8CchxZ8VS/xpOSrw8LrA+18E+p/50P3Ih8d3Be6cF7hyWqDz2MCz33xAoPmQD201Al0nBc42C1zoErhxxYfv7wg8+EXg1Qs/vv5u5r/8vxn8P/86jH/5j0L+OyP47yzn4/clvNgyjXtzcmjP0nN5hJHroy1cnRLNh5Or6WvZxM2qmTxsKOHNmR30Xavh8516Pt09yecbNXy5XM3v5yv5/XwVf7mwl9/P7+W3c3v52llFf2MZb46t4Omeufy8bSLflQ7n8op0uuZ6aJps5ugoHVUFGioLdOwqtLJnnJuGWcl0Lsmkc2kWN0tyebpvAl/OlPG3Ww387W4nf73VRF9rKWe/SaCiIJLl8WFMsQcyweLHJEsQRZYAJtsDWZkSSc14E10zXXTNcHJmTiydMxI4Nt7FjmFmdo7xUDUpgf0zUzm+dCjtG4roKhnFwelxjHSEYY7ywyz2JVodglURgFEcQKwlkMptLl7/NJL3d8bysKOQ1t0ZrFvoIX+4AVuykuhcKwl5VuJzTXjz9MTmanFlyBGq9vhQe8yHkzU+1FT7sHWzwML5AsMKBxEd7Y9KEUikyA+rXWDGJB8ObvPlymmBR98KvPlF4PUvAo/v+nDvqsD1Th/O1Qu0HhJoqhZoOThACecaBC40C1zuErh+UeDutwL37wk8fRLKl9/c/NN/K+Rf/n0yf2cWf2cOf2cW/x/F/PZwE8+3Tedp8TjOjHDSka/l0jgX91aP4FNLCR/b1/OkfgWPmjbx+lwlH67X8Ol2LZ9u1/L52kG+XKjic8d2fjtbxR8Xq/nLhX38fn4PX8/s5euZfXzpqKSnfiOvDi3ncdUcvt8ynmtrh9C1OI3TM73UTHBzaKydvWOdHJjipXVRNhdXDeba+hH8XDGRt7XL+ePSEf56u5W/3j3HX2930t28hZMzYyhJjWCm2Y8plkCmOCMZYwlhuCMCj9gXS5RAkmIQ8+JlHBxno2u2iwvT4zgzK462WV4aZsRzfGYyh6YncGB2KqfXjqJjwygqJ8eRqQ1AHz4Iq8QPjzIUuzwQRbjA4rkaPv86lr88H8annwp5emkorYcyWbEomqQcDeZkPa4cB948B7HZZmJzDMQN1hOTo0XYsl2ger9Aw3EfTtUIHKjyoXSdwKzpAnk5fljNPricApPH+7J/0yAu1Qr8cEbg0W2Bp/d8+OWWwPdXBhTBC00CHccGCsDGfQMg6DohcOG0wKU2gWvnBG5dFfjhri+PH0Ty8YOH//rPo/n7f8zjX1nO/2At//YfJfzrf6zi39nEf+mt4EH5BLq3T+fHpYNpyjfROtzB3RWj6T+5hq8tq3jVuJJnnVt5fWEfH64f5sud43z99hhfLlfz5VwFXzq387Vr15+vwG5+O1fF1zN7+P3cAf44f4jf2nbRf3Izb2vW8mjPfG6XT+JSyUjOrCqgbXE2LQszOTU/k6YluVwrHstP5ZN5tnse744s53NLBX+7epo/rrfyt1tn+NvNDt6d2krDrBQ2ZYlZFhPIHHswc2JkrBniYkGBgyRTGKk2NW55GNYIgRxNECtTFJyYYKZjhoOOGR7aZsVxamYCNdO8HF+UTWvpeDo3jmZLURyx0oEYPZvUD5cyBLssGLN6EOea0/ivH0fx2+tUXt7zcKndxc5tboaPN+DJ1GJPM+HMsOPOtuPKNOHK1OHO0RI9xIBQWipQtVvg+LFBnKr14dgBgaptPqxdITBpgsCo0QLLFvlycMcgLtX6cL9D4OHlQTz4VuD+NYHvL/rw7RmBS80CHbU+NB4YEIOaqgXajgicqR8Ax5UugRuXBW5/68PPP8h4/9bLP/7jcP7+b9P4V1bwP9jMv7ML2M2//cd2/pUK/vkfa3lcNYWnG0bTvXsG94vH01jooXlMLA8rpvO1aRVvTi3l9flKuq/X0HvtAJ9uHuLjlb18OLudz13lfD27nd/PVfKXc7v5/dwuvp7ZyW9dlfzetZuvHVV87djNp9Yq+pp28ObERp4dWsEvB5byU/UiftqzgJ8q5/Ldtqnc3TqZR5XzeLl/GX0nivnSuIU/Lhzl/7jZyu83uvjrt2f541ojr46V0LZ4MDuGGdiQLWOazZ8iUwjLMk0syDSTrvUnyyol2SgmThPI/0/aW4Z1ma773/cPxRqdGWfsQFFBECUEQQWkpENARRGku7sbEVCklO6WEru7Rek0EHNyzZq1Zk2rfP4vZvZeez9rP7HXcx7H+e6+Xp2f63ucdVy3zRZZ9KU+xWL5VHItpajdI0PNLmkqbeUos1Ok1t+AhlhrmmPMCd8mj/RsMRbOECE1V5zVC6az7JPJaG+czrMHenwxsoXOm0voaJ5OctJHWFnPZYPmchS0ViOnKYPcFjnWaskhq7mK1RpLkdVciqL+KoTwMIHk5D9GuHk5AgW5ArmZIhJiBUKCRSTGi1F4SIy2EoEL1SKuNwrcbBdxuU3gdL3AyRqBtgqBhkKBiiyB4v0CpekClVkCdYcFjpYJtNX9oQKnToi4enERj26q8XzYkL/+xZxfP+zgHY68x58PxPKBZN5NJPE7qfz+eymDVT7cjbKm76AHY+Wx3I7cSYXRGhr3atCf58pguQf9LfvoP1XAwLFMRtpTGW2O53FDNM+PxvGiLZnx5lSeN6Yw3pLGy/ZMXrRm8qL5AM8a0nnenMXzlhyeNmXzuOEgj2vTGKpKZLAqgb6yaLoOB/Io25O+PF9Gi8MZLY/haXUcY3UpvDhWwNsLDby82MEXl0/xvK2IRzmBHA+1INVclkjdZfhtWoiTwhycFefgo7oQp/XzsFgzB12pz7BSkSDVVh3XjYtQ+UTAWW4mRdslqdstS43tOmqdlGkOMeZo3A7a4q0JNJVF8lMRi2dNRnruVCTnTGH+DIEE/wV8+0yF+7cWU1M7meSUqVhZzkRTYxEbt6xAeas8KgYbUDHcgKK+EnJ6ckhrrWCN9grUjGQRgoMEYmIEEpME0jMEDuUIHM4TOHhAIDdbRFWxiPYaEWcbBM7XC5xrEHGqTkRrucDRIoHGIwI1+QLlB/8AoGT/H0pQkyOisVCguVKgvfGP2cGFU3O4f2UjPXcseDzkyBffuPL97/b8OGHLL9jx24Qrv+PBewJ4PxEOHObV1ST6MtzoL4rki9NHeFocScvOjeTrSXEtZhsjVT50NyXTeyKP/pZUho7GM9IUw1hzDC9aE3jRnsKLtv28aD/IeEcOr04X8PpMMa9Pl/LqZCmvjpcyfqyEF+0lPG8r5HlrPk8bD/K4fj9DlQkMlUQwUhLKk4pIxuuSGGvax9O6RMYb03jdUcQXF5t5e+0MX984y2hjNl15gVxOtKPQQYMkUzkidFcQpL6YQLW5RGksIEFXgn2mcqRbKXHQRpmD1vIkG6zAac0Mdi0TkbjlU8p3ylBhK0+dmxqt4Sac2GdHR9JuvAxkWfaJCInZk1g9bwaLPxJnk5wYt88r0PdoIcVVAv4RkzGy+JyNm+ejrr4UNZ2VqBgpstFsM5vMN6NsuoG1ButYtUUSWW1JNpnIIAQGCESEC8QnCqTsFziQI5CTL1BQJFBfI+JYk8CpZoHTRwVONIioLRFRdFCgJFOg/IBA5SGB4kyB/FSBgn0CpRkCVdl/qEBTiUBztcCxJhHnjs3gxkUl+vu8ePO2lr/9+ICf3vXx84dOfpk4z88fqvn5QwG/Thzi1w8H+HViH+/J4/uxIvorQnjansWbi1W8qk2kK2Y3TbtVuBhmwGC5Jz3NqfSdyGWgOYnBxlietMTzvDWe8bZExtuSeHM8gzencnl5Ip83p4t4e6aENydLeXOqjLcnS3h1ooSXHcW8PFbEWMthxo7m8rz5IE/rUnhSGc2Tqkie1cXxtD6JsYZUnlYnMlaTyovmI3xxrpkvrp7miwstDJUn8yg/iLsHPWkLtiB3jzop5orE660iXmspSVoLyTJaTsn2NdTYr6fBfRON/npUuW0mx1qKWK0FJGl8Sul2Kar2rqPOXZUTsVacO+DE2XQnHLRXs+xjAan5U1m5YAYSH4txMM6AkQEn6jvWEJT8GZpm01in+inKagtQ3bwQJZ3lKBmtQ81CDRWzDSgYKSKrJ8sqjWWs0VqOmrE0QkSoQEy0QGKywL4MgcxDAtn5AsWVIppbBE6dEjh1QuB4mxg1FZPISBVIDBdIjxQ4nChQmCYiL1VEbqrAkXSBkgMClTkC9YUCR8sFWmoEOhonc+HEXDofGPPN90eBf/Cv9o4JfuQ9f+U9b3nPM94zzPt3I7zpbuXZmTxeHc9jvDyM8Tw3hg/Y05VuTU+RIwNt+xk4mU9fQxyDTZE8aY1mrCWG5y2xvGxP4NWxFF53ZPC64xCvj+XwpuNPP5bDm/Zs3rTn8bqjgFdtR3jZksfL1lxetR5kvDGZsdoYnlVH8rQmhrGGFJ7Vp/CsNoWxmn28aivky4utfH3zNOMd5fQcCeVBbgAP8wO4le5MfaAF+Y66ZG1XJMdyDYXb11GyQ5ZKG1nqHRU4EaLLqXAjOsLMOBZpRbOvISW7FSixkaXBU422YB3O77PlYpYL5w64Yr1RghWfiyEzbyrSsyexS2UVd8qSeXBhHzlVO7EP00DZeBnrNeaismke8ps+Q05zIQoGq1E2UUDRSB4FYwXkjdcivUUCGc2FqBgsQ0iNFUhNEkhNE9ifKZCVI1BQIlBZJ9B6TODceYELZwWOt4soLxGxL0kgKkAgLkAgI0rgYILAwSSBnH0CRzIFSg4JlOUK1BYJNJYLNNcIdBwV58oVCQaeOfPLh9H/AYD/F/vwM18OnGGkOoyRw24M5tjzONOOB4mmdB52ZKjjIIMdufTVR9NXF8pwYxiPWyIYa4livDWKF62xvGhJ4FVzKi9b0njVup9Xrem8btnPm+ZMxuv387opi5dNmbxq3M/ro8m8aohjvCaK51VhPK0I4ml1GGP18TytS+B5XTIv6tN53V7EV1c6+PL6GZ61HKG3IJyHuQE8yg+gM8+XK2mudETtocbHiAoXTRo8tGj30+FEgC4ng/Q4E2HE5aQd3Mpw4nqmBzcP+XA1zYn2YGPOxFlyOcOOq9ke3DrsR0eaM8aKC5GZPw31hdPxVpGgzN6QCxHOnM0P5UBxGI5Rtpi4aKKzbSWqW+Ygt2kW0uqzWacjgZL+ahSMZFE0XoOCgTRrtZewRnMeSroLEHJSRGSlicjI+A8ARJTVCNQ3C5w8I3Dtmojb10RcPSvQ1iCiJF8gLUYgJkAgKUIgMVogMUZgf5JA9n6BwiyB8nyBmhKB+nKBo7VTOXVyNre7JBn6wo1fJ17+GdmJ/5uIT/wPDhPv/86zCwd5UuzB8yJfhg950J26g84Cd4aOHWSgLZO+hkj6G0J50hzBWGsUz5ujeN4UynhjBC8bYxivjeFVQyyvGuN51ZjIq8ZkXjem8roxlVfVsbwsDebZYVeGsu3oz3FgIM+NgcMejJT48bg8iMdVoYzWxPCsJpHxunRetZfw9eUTfHHpFM+aChkqjaMzP4CHhwO4n+fPvdxAbmcHcCXTi9OJezkevZMzsTu4krSb68m7uZPpyO1MJ+5lefKoMJTuihgeloRz/7Afd/K9uXXYm1v5vtwvCqUl1QVDxYVsXDwN7/ULqdqpTMeeTTSaK9GeaE/D8XTi8n3ZG2yM6Z61aBjNR0HrY2Q1PmGd1kKU9CSRN1iJvNFKFPSXoai9EEWteShpz0EoOihwJFvg8GGBojIR1bUi6lsE2k8JXLwicO++QH+3iN77AncvizjTJlCaJ0ZchEBoiEBgkEBIqIi4aIHMJIH8gwKlhwWqSgRqykW0Nn/C5dvL6Bpbw/B31vztw7X/lQhMMAETHwD46btRnrQn8bQ0gJECP7oy9/Kw0I+h9oMMtaTQ2xDBQGM4j5sieNoUxrOGIJ7W+POs0o9n5YE8rwxhvCac8ZoIXtZG87I6mpeVETwv8mP4gC1dsYbcD9/C7fAt3Ekwp+uQGyMlkYxWJDBYGk1/aRjDVTE8rU3lWU06r45X8MWl47w+08pY02EGiuPoKgilqyCIh0eCeFgQRk95Aj3V+7hfHM+tvFBu5QRwL8eXu9nedOYH0FscSndRGH0V8fTXpdBTm0hfbRxdlZHcKQzgToEv98vCqImzR2/dbHbLf85BY2mO6EuSp/w5mavEOJ1uRc9oNnWnfAlKMWaboyxaFnNR1vuEdVqzUdCaj6L2EtbpLmXt1iUoGSxG1WAJanqL2KA7H6E6X6CqUKC2UkRdrUBjs0DrSRFnLou4fkfgUZ/A41ERz0cFRnsF7l8XaDsqRlKygJuPgJ2bGI5eYgSFiJESL0ZO5h9qUVEkUF8zlXNX5tA5spKRbxQY+0mD17/t5+eJMeDD/0cI/gThT0X47vV9uir8GThky51kCzqP+DLYnslQcyK9jZH01IUyVBPMaH0gj2t8eFLlzdNyT56VevGs3I+n5f6MlQcwXhbAWKEPo1kO9MSbcsNflcs+67kbocP1EB2ux1nzuCqe121HGG8pYqD6AANVSYxUJzNauY/HNQd4c7qeb66f5835YzxvLqS3OJ7O/BAeHvanpyiIvrJIBmr3Mdh0iP6Gg/RW7aO3IoH+8lgGq+MZbdzHYG0yQ7UpPG7KZLgpk+Gm/QzWJ9FTFc39omBuF/jzoDKKwhAbNKRnEKghQcVOefLUF1Ms9xnFMlO4W7ydsTcpnLzuTHyuDpYukmhZzEZ162wUtOegpLMQJe0lyGsvZp3OItYbLmaz6XI2G0igprsE4XiNwLE6Ee11IlqbRLQeEzh+TsSlGyLuPRLoHRYYGxd4+0qMF09E9N0TOHlsEsnpImw9BExtJ7HNbgouXuJERYqRmSZQlCdQXTKJjo7p3OmdyeBXixj7UYYXvynx7GdTxn+r4LeJH/5XivBPe893r25xt8SLM5Ha3CvwZqgtjf7meLobI+itD6Ov2o/hel9Gqzx4UuHB41J3npT84Y+L3Xha4slonhN9+6x5EKXDdV8VrvqpcDtmKw9TtnMrehv30+x505rO6+NHeHo0j2dNWYy1ZDNak87T6kzGmwt5fe4oX149yxc3LjJ2vJqhihTu5QRwPd2Je1kuDFVGMNqUzmhrHk9a8hhtOMRIbTojNSk8rk/lacsBnrYe4klbNk9aDzLSmMFwQxr9NXF0V0RyrySMW0WBdJZFk+ZmiIHsTLLM5TnmrEGlyVqqledSrTKTh0eNGB3bQ/slLaKzpDF1+hw1o2ls0P2E9dqfoaQ9HwXtRShoL0BRbwEqJgvQ2LYYTdPFqOksRrjWLnCpTeBss4iO5km0twscOy1w5ooYN+6JGBgRePVKxNdvRbweE9H3QKClVURkioClkxg6llMwsJ7BbscphISIyNgnoihXjPqKaVy49CldT2Yy/JfpPPtBgic/KdD/43a+fH+RD7z79xD4MMFf3v9Ic0sKN/Ic6CwLoq8lmb6mWHobI+irC6Wvypv+SjeGK10YLXVmpMiJ4cN7GS104nGhE0M5tvTts+B+xBau+6twM1CNznhDHu3fQXeWG3dTXLiVvIfnlSG8bU3hZes+XjSn8Lwplad1aYw35fDF8Qqet5Xy/Hg1X149wfjJWoZrMukqDOdy6h7ORxnTne3Kk7oknrYe4lnLYcZaChlrL+JZaz6jDek8aUzjeXsWL44f4fmxbEYa9tFflUBPRTQPS8O4WxTIzSO+XCsKJcBcAXfVRTTZaXDcQ4d6SxVqFObRpD+Hzguq3OiWoLD+E+xDxNlkLkJZWxwVzZkoa33Keq3PWKvxGeu2zEbF6BPUrWeibfMJersWsdlsMcLd02Jc6xA4c1SgqVagrFqgsFagsk3g/A2BgWERL8cF3rwQ8XRU4OZNgeJqEe4RAgY2k1E3moqe+TT2OEwmNFTgYJqI0tyPaKpZxMVry3jweBk9b5bS+/UKHn63gcc/FfI7v/+bKgDvP7yn/GQVof4W9FSF86gmnL6WRPqboulrjKC3JojeMg96y5wZLHdipMyZkWJHhgvsGS2wYzBnJ91p5jxMMuJ2hCZ3I3V4mGhOV4YtPdku9BcE0Xc4kpsJe7gQoM29eFO6D9rSd9iDgXJ/+kp8GG9I5FVjBk8qknlSmczLtlxetOYxWJZEX2ks93P9aPfR5GaMGcNFATxr2s/z5hyeHc1n/HgZL05XMdZ+mLGm/Tw9up/nbdk8a8lktD6Fwap4uksj6SwO/SMnKAygNdOTXarzSNRbSdNuVVqdNGgxU6ZOYRGNTpJUtywhuVqEQ6QYm7YJyGmIobBpGkoas1DSmoPClrnIqs9mrdbHqJpNQ3v3FAz3foSxw3z0bZchXD8h4lSDQG2RGIcOiRGTLiJ4v8D+UoETV8To6RNjdFhgaFCMew8mcfSkiJgDIixdxNhiOh0NvY8wsZiKs5OIqDCBnPQplOUupqZsHScvqHCpW5Ubo5u48kyVG28D+NuH/6gO/j0lAGi70kqIhw799eF0N0TT35rAQHMkvY2h9NcEMVDhRVexA32lzgyWODFS4sxo0V76cqzpzjCjO8OKzjRL7u+z5E6KNbfS9nDvkMcfbwcUhtFbHM/9TB+OuW7hnJcqJ50VqLOR5UriNh7luzCY78JAlgMPkmx4lGrHcL4PvTne3EzZy91sX3pKYmj10eJcoDqd6XaMVkTzvHE/L5qyGG89zNjJcsZPlvK8NYuxpnSeNu3ncWMyo7VJ9JfH0l0Sye0jQVzN9+VWUTCHAyzYLTudPO3l1Jmv46SDNu1mytQZriXSfTl6rpPYsEOMtVtFSG0WQ1ptCnIbpyOvORN5rTnIay1CdsvnyOnPYONOcfQdp2LpNottLrMxc1qE0FYrUJwrkBQnwjNAjO1uAraBAjE5IupOiHH9ziTu3hXj6jURR09OJj5fjB1eAtoW4qjrzUJLdxaWllNxdxGICReRk/4ZpXkKlBZuoa7VjObrFrQ/NOPUsC3P/nH1zzD+M9H7d+zvP/2N+9dqeNgYSVdjHAMtcQy1xtBbG0RfpR/95Z50lTjRU+LEYJkTI6VODOTtovegBf0527mVasHpKCNORBnTEm7KsTgbLux35U5OEA/yw7ibG8yNTF/ORNlyIkCP66GGnPfQoNFRieOhW7mTbMF5fw3aHBQ55rqBc0FbOeanT52HGhcTrOkviqTFW4Nj7krcjDGlP8+Tp9VxPKtN5Vl9Bs9b8hlry2Os5SBjzZk8bUxjsCqW/oooessi6SwM4nqODxdzfDif40eYgQzBCrMp0lhKtYEsp+y3cMpuC7n2GihumcXiDWKsUJ7CSpUpSKqIs0JlMrKbpqGoNQsF7dko6s5D0WAOSiYfoblnKmae07D2+ghrj88wc5mHkL5PhG+IGNv3itAxF1A3FjC1E/CJFsg6LFBVL6KpWURZvRhR2WKYOAtoGIqjrjuTzdofo6M3k+1W0/Fxm0JcxAyy0pdRWqBFeckuiiudqT7lQNsDGx5+cZBf+et/CeW/B8KHP8/88uMLOtv30300kYHmGIZaohlsCGW4JpCeIhceFu2lt9SZ4QpXhkr20pNrw0C+LbdSzWj0V+ewixqHnNTIddOiMsSS0+nunM/w4lSyK61x9tSF7qQudBdVgWacCtvGpVBzTvnpcsxfkzNBW6ixXUOR5SqKd0hTYLmCQ8ZLKbaR4kyYHnf27eVUgDanPJW5HKRO134bhgv9GC2N4GlFPE+rU3hWl8LT+mSe1qfwuDaJ/rJI+kpDeVQQyK0cDy4ccOFSni9loRaEbficbOV5FG5c9IcS2GtxOmQH9jvkmb9uChLrp7FCYQorFCezQkkcaeUpyG2eznqdmWzYOhs1o7lsspjHJqvP2GI3Cwvf2dgEzmWX/yJsfKUQ9riLs8V6Mkq6k1mvKY6arggDKwEnL4HIWIHU/QKxmSI84sQwsRdQ0ROxSesjNLVmoq41Ez29WdhYzcTX7WPiIuZzIGMdRYUmlFc4UVjhTt0pVy732vD6hyom+OX/JwQT/3nib397ysOODHqbkxlsjWGkLYbhxnBGaoPoLXals8CerhIHBiuc6S2wpfeIHbcP7OBMnAm1gTrkuqlzyF2TokBjKkMtORpnS2uCA7Xhuyn220a2qzHpDvpkOepw2HEL2btVqHNV57iLCrU7pck1WEya1hyyDBaRoTmbRJUpHNCdT4uPNteTdnM91pJr4XpcDdbkUZIlw7nujBYGM1ocxnBROCOlkTyp+mMiOVoRQ39pOI+O+HP7oAfn9zlwZr8zF7K8aAo1o8x8NXnrPqZgw0Lad27knIcFlVF70bBYw8rNc5DePBvpzTORUv+IVZtnIK0qzjp1cVR0ZrDZeDZa2+aydddCjOyXYOKyGEvfJdiELGd3iBR7QxURNhjPQ1r9M+TVP2WzzkdobZ2EoZmI7bsFHFxEuPqIscNFDE0LASUNEcobxdmkPp3NmtPR0JiNns5sbCw/xc9tDrGRy8g8sJ6ikm2UltpzuMSO5vN2dI1s48vv9/Oeb/7XN/+/AvCB3/gw8SPwA19/dYeHLcn0t6T+CUE0ww1hjNYG01/mQVeZE93lTvSXOzFQYs/Dw7Yci9anOiz2u68AACAASURBVECDqiAdSvy0qArRpz7KlKZoa8oDTehIceZo7F7KA6yoCrXhkJsBOU5a5NirE2Miwz7jVVTZrqPKTpEUvSVEac4lQW8B8Rqfk6QznzoPA+4eCuRBti/30p24m7yD65FbuRdjRH+mPQM5ngzleTOY601/rjeDBQEMFgfTXxRCZ74vtw65cyHVnlMptpxJd+BChhMn/EzI01jK/nWfUa4nx1k3YzrC7EiJ28uWPRtRs1rDJisZdHevwcxBAYu9a9Hdtpj1OtNZrzsdTfPP0N85DzO7xWx3WclOT2ksvZZj7iPJ9iAZ9oYpIMhqrmK93nL0DBZgoD+DrXri6OmJ0N4qoGUoYvNWEUobRcgqiLFGfhKK66eipjqVTZs+YuOm2ejqzGGH5Ry8XeYTG7mc9APrKSw2p6TUlsz87RS3mXFzUI1nb7fyw2+nmOD9f+rAf1eEif8WcP7lq5/4jT5+mTjOb5zm9YtmHjYl0NeSzGBrHCPNkTxujGCkLoieMje6yl3prXClv8KZkQoX7ufupjZQnQp/DY54qNAUqcuZJBMu7d/J5QwHzu135sIBD1rj7GiLtaM91p76EGuqPfQpdtxMlIEkcSarKXdRJ89WmeitkoTqShCiK0Gk4UpyHdRpi7TnxoFAOnMC6TzkzaMDjtxPtuRurCHd+7bTl+VIT6YDPel76crYQ3eWI93Zrtw/4MyVfXs4m2zDyaSddCTZcDJ1D+2hFpSYKXJoozRFxhs54WrOca9t1KS4E3nIn13RNlgFmWIbZIp/tDXRcTuIjDTFM1AdQ1tJ1Mxns8V6Hoa2i7FwlGSnqzS7PGSw8pTG2H0FJh6SWPlKIagarsPAbBXbjOdgZjgTPa3JbN4oQl5RYJWMwDJJgWXLBSRXiiGzZjLyCuKoqExDTWU6G9U+QU93Djut5uPtspi4KCnSM1XIPaJDYdk20vMtCcnSJvuYHJf65vHwhTYvf2zjV/76/1Ab/BOA9/zIb7zll4k+fnxfw1/f7+WbD/L8gBUvBvN51BhPX0s8Qy0xjDZHMNoYznBNEP0VnnRVuNNb5UFfhRvDlR70FDpxNFSHSp/NHHaUp9hFgRMx+jwqcKG3xIf+ilC6ykLpKg3jUUEonbnB3Mn05XK8LU0+eiSbrybaWIasPWokmK0hw2YD8eZrCTGQJUhvDTkuW6kL283pZA/u5gTz8EgQXfmedGfZczfBhM5kc3oydtGZspt7Cdu5n2zJvVRrbqXu5FqKDeeSdnAywZq2mG20xFhT72tKruE6DmhKU29nxtVoHy6E2tMUbEtlcTRJpbGE5wQRcsCb2EN+HMgLJOugJ5n77IlJsGJvgAZbbVeis1MCE4fVWLqsY4eHAru9ldjjpYCNx2osXJdh5LQQQdNEEVPTVViazMNk60y01CejrCjGiuUCSxaKkFgiQmKpGJKSk5BePRm5teIoKk5jvdI0Nqp+zFbduey0XIi3myRx0bKkZSiSkadKVqEOiYd02RuxAetgGTwOLCe2ZA7R1erUdBby5a9v+J3f+Nf28T9v/y8fvuXtuxq+fp/C9+9j+dsHX759r8lf35vwrHMfD2vj6G9JYLAxnCdHwxhtDGOo2p+BCg96Kjzpr/ZmoMaXJ3UBDJV50RKqTYmLMmkWkjiumYKnymxqPNW5GGXO9Rgrbsbu5H6yPZ1Je+lKdWYwy4f+LB+uJ+yhxHkLGdtVyLHfzP6d68mwUSZ9hxL7d28mbZcWabu0OOxpSUPUXs5n+HI+3Z3b2a505bjyKGMXt+ONeJBizr1kK25Gm3E92pir0WZcjDbjdMw2TsbvpD3mj63iSk99cs2VKd+hw6lQey5E2nE+YBdHvbbRmhtITX0qhRUJJBaGE5cXQnpxNEfK4zh8JJRDBzxISbPHJ8YcK3dl9G1lMNmriKWrKju9NrHLez22nnLsdpfEymUhRnafImiarMPQRBpDw4XoaX3MJtVpyKwSY9lCEcsWTkJi4SSWLZmEpOQkVq6ahLTMJNasm4Ki4jQ2qX6Mgc48dm5bjI+bFDFRciSlKZB8cAPxmZsIStiAva88Rnvl0Ni+Cm3r5ahZSWIWoc3pvha+/fklHz789D+A8If9PvEjX/xymr+9P847+njHc37jIT9zjuHbB3lUHcJASwLDTRE8bgpjtDGUwRo/Bis86K/wZLDam8EaP0ZrAxgs96I9UpdKdxXSjZcSr7WQfBtVIpUXkrxhIQX6MhzRl6HUeB2NViqcsN3EWQdNrvoa05viyIMMV64mOnA12Y0T0Xs4EWvHsUhbSjyMyXPS5YCDFjle5hQF7qTY35oCT32OR1txN9ORnkNO3Iwz4U6iObeSrLgUbsjZYC3OhuhwMlSHjihj2mItaAg3oTHUjAZvY2od9bmZ7s/9IzE0u5vQtEePUwdtuXMjjrqjEZTVRLO/KJywbF8SjgSTVxXP4fJIMvM8SMy0xTvWkB3eipg7yrHNaT3bXFSwdt/ATk8ltntIY+22FGun+Wyz/xxhs4UcWsYrUNeZzwaVmayVEUdKQgzJRZNZtngyEkvEWSYxGckVYn9AsFqMtQpTWa88i02bZqO/dR67tkvg5S5LaIQykUmbiEhRxT9RFftAeawcZTDYJYem+Wo0jFahZSyNhqUUgTnOXBvt4Ltfxvlt4lcm/hsI/zE2esdP797yy+/P4P23TEx8x3u+4ndeM3i1kM4yfwaOxjDYFM5QfRAj9UEM1/kzVOXNcKUXw9VeDNX4MFzlRedhO84kmVLvp8GR3TK0+G/hUY4rJwNMOWwgR7Hxeo4YyJOju44srTVkb1lFqYEc9ebyHLdV47ybHrdDt/Mg3pHeA37054XReySaK+m+VPqaUeBtSLanIQfcjElz0CFx10bynNS5lGTDoyxHbiVbcTPBlKuJZpwP28rp4C2cDNGiI1iL9nADWqLNqQsyoiXIgFtpLtzb78GjI+HcLkjkZIgD5+N38rzHheFhF9qbHamq8iGjyIOAdBsC0nYQcciWuMP2RB2yJnCfHk4RiuwKWM0OL1m2e8hj5abANmcFtjnJsd1VChvPldh5SuHgLYOga6vEepNlyKl/hoz8DKSlxJGSnMyq5eKsWC7OsmWTWCYphuSqSUitnoKMrDhrFaagpDwLtY2fort1LlbWy3BwWYtHwCa8I7XwidXCMXQjZs5r0dkpjaqJJOt1Jdiov5zN+pJs0l2O+o7VBBc5cuf5af76y1dMTLz/Fwhggon3v/L+t2/g97/Au78w8eFrfn03Tt/ZQzws9qa/KZLBpjAG6/wYafBnpN6P4Rofhis9GCx3Y6TKk/4yF24esqE1aitNYTqcS97GnWwHest86Svy5mb8bk44GdK+eyvH7M1p3GVCrp4S8YpLSVJcxAHVxeRtWkahpiTluiupMJSm0VKBS37G3E9z4kKiLU2R2znoqEWqnSaJezQJNFMk1ESWUg9Nbqbv4WaqNdcTjbmaYMbZcH2OB2lyIkyHYyG6tIQaUhdiQmv4Nk4GmXDK35gL4WbcygrgflEGFzLcGL/nyG8/7eLpiBlnWq2ordxNcp4JXgmb8YhXxT1RGbckBVzjV+MUuQzHsEXYhyxgV8ASdnivxNpTBgs3GcxdVrHdfQV7/aTxDlUiJEYDwc59CwrbliGlORup9TORWjsd6dVTWLVqMiulJrNCahKSq8VYKTOJVbLirF4zlTXy05BXmomK2ieoa3+GofkidjnK4+yrhUvQVhxDtrLdWwMD+/Woma9ijdZ8ZNXnoLRlAUqai5DXWMLaLQvQ2C3NgeZoHn/Zybvff/jPvYH/CsPEh9949/v3vH//F/jtOyZ+/5p/fD9MT3sSnaWedNUG098YwmCdP6MNgYzU+zNc68tgpQdDZW4Ml7vSVbSXa1k76Igz4WyKJV1H3BkoDWCgMojB6iBGK8LoyfLjSpgdl7x3c8PPhcveDrTsNqdUX4VMFQmS184jVuYTIqVmEb/mEw4qzyVPYwG1VnKcD9LnXLwVVYEGZDlsIm2PGuGWivjoriB77wZORptxMcGMi/EGXIo353ioHu3BmrSGbqE5fCu1IQbUBBlzLmEP9/b7cCXZmTPhlpyJdeDUQRce39zJhwlTfvjemGcDZlxuMaW+VIfI/VI4RSzAM2oRXlFz8Yr6FK+oGXhHTcMnYhruoVNwCPoIu4C57PJZhJXHYsxd52HuMge7gOUExaoQm6yNEB5gjIq1JDLan7J600dIK89ARmE6q+WmIL1GHKk1k5FeOxmptZNZtWYyq2SnsHrdFNYozkReZSbK6rPQM13ALsd1uPpo4R5siEOQIdYe2hjsUWWDiSxyWxYjs3Eu0sqfIbV+NlLr5yKlMIclyp+h57WZ5lsl/O3Xt0xM/PYvecH7iXf8/bfvGP/pGd++e813v47z5vkNeurDeVTizoNKP3rqguirDmC4NojhWn+Gan0ZqvJiuNydoQoXHhXZcT7NgjMpf/zn4FGBF8NVEQzWRDBQFcRgZTADRQEMF4TSk+bHg0hP7gW7c8vPhRvedpzZa0Hzdn2qzNTJ1lpL7LqlBK+cjeeyqXivnEbqxnmU2cjR5K9FtY8mWbbypO5SJGabLLl7VWgP0edstCEX4g25kGBBR9hWjkfo0h6uy9GwrVQH6lHvv5XzYdu4m+rB/Uxfzsc7cTzNnOcDRkygyD/ereDbr4wYumfFzWZz2st1CU1YyG5vATsfEXt9BJz8BPzCBIKjBYJjRPhHCXiFTsY1cAaO/rPY4/MpO9w/xtR5OtY+n+MXu5bYVA2E+NBtqFlLslb7Y9aoz0Jm4wzWqExDTmkKMoqTWa0wmdWK4kivncJKmSlIrp7MSllxpNdNR1ZpKopqU9E2mcNOBymcfFXxjDDAO9YUlwhDbHx10bXdzAZjOdZqSrBSeS5L1n7CktWzWCo1iyVSH7NU9XOsY825/fIOv/DzvySJE3zgpw9/5/TIWZJPJNFyq4THnY301ITQV+JBV5kn3TWB9FQFMFQVwOO6QJ42BjNS68dwlReDlS50l+7lZs4urmXZcS3LjgcFngzVRDBQHc5QVTC9RV7cSt9DV74HPdledKW60RXjyoNgRx4EOnHT15Gb/h7ciwjgXmwQV8MDOOpkw74t8rivmsPexdNwWDGVoI3zid66nDijxeQ7ypPrvIFch/W0hehxIdaYi4mmnIoxoSPCgGMR+rSEGdEYZkB1uAGFzsrU2ivT7qlPe5ApZw4b8erVBt4xl79/EOPt3+fz8qkpvZdsuNu+i5ZaU3wSpdkVIoHvgY1EFBsSmr8Bn5SFuEVNxitSwD9awDd8Em4B4jh4i7PHayq7PKdj7ToFS9cpOIUsJCxFASHU35D1potYqz0LOY2ZrN04Azm16axVncba9VNYoyDO6nXirJQRR2LVZJauFGOZlBgrpCYhIzcJpY1T0DKeyTbbBdj5yOGbuIXIbEPCc4zwy9TDPlYbI3c1Nm6XQ9FoFWt0lrNSbQELVs9g3rLJfL5sMqK1YjgX+fDq57dM8I5/bSf/zvXnFzGO1CThiBvjtyrorfCnt9iVRyUuPKrwprc6gOGaYJ40BPOkIYinjUE8rg9goMqdrhIHbuXYcCPLlrv5zjws8qS/IoCBykBG6sIYKPfnRoYtF1OtuZBkxakIEy6GWXAz1Iq7YdbcC9zN/QAn7gV5cC/Ui5tBXlz2d+Okuy11u4xJ05QnSGkJDqs/wXyxgOeGqeTbS1Psqkyp50aOhW/lXJwhZxNM6Ig25li0ES0R+hwNNeJohBmZAdr428mS5r2RnBBNWsvVefpCmu/eT+WbXwXG/yYw9GY+wz2WDFxyoeecD6fPBlBwMoxj96vofnGDkS+6GXhzm3PdpWTUb8c55jMcgwXcQkQ4+09mr5c4tu6TsHEXY6e7iO1uAjY+4rhEzkewtVVinfanrNWczjr1aShunMY6tamsVZ3KuvVTWCM/mVUyk1m2ahJLJSexZPkkJCTFWLFyEnJyk1HZNAVto+lY2M5hT6AkwdnKpNVokN2iR/axrexvNSSyxAT3RANcwkzxjt5OWJojvqn26LqpI7NjNUYRRhTfLuKL3978uWzyz4bRH1XDOwb+0oPtvm1UtCTw4nIRPeV+9JS40VXszP1CZ3qr/BiuC+ZxfRCP6/z/8IZAhmp86Ktwo7PIgXuHHekscqevwo+h6kAeVwfypD6M4Qp/uvKduL7PmrOxJlR7bSLfXp5DNnKUOqrQ7qHDZV8jbviZcyfIlpsBu7kaYMvVMEeuRjtzKnQXHSHbOepvRJz+IoLUZ3LAaiklroo0h+pxJt6Uk7FGtEca0BKmT1uEIUdDt9IcZkpdlAWOO9agob8A612yOHqsI6dKmpsj0xl+I/D4jcDdJwI3BmTp7XTl8d1Qnj9MYWignIePTzL+doDvv33JP755zQ/fvOTtF8Nc7mok9ogJOwOmYOMjsNtrEraek9nlPgkbt0nsdJ2EnfcMHP0/xjF4NoK2/mKkVKciqzqJdaqTUFQTR3HjNBRVp7NOZRprFKeySnYqy1aIs3TZJCSWTWL5cnFWrRJnnbw4qupT0DL8CHPbebjFS5LRpET7HSNuDLhwf9SXa488aT7vRHGDEzmFHrQ07+fhjQb6e07R8/QafV/d5zu+AOAD7//LiOhPCCZ+592Hnxn+5iEx1V7cvFHKSFsmPeWe9BU701vqxoNCZx6WuNFf48NIfSAjNX4M1/gy2hDAcJ0ffVVe3C925mGZB12l3nSXedNX5k1fkRtDJZ4MFXvSn+9IZ+Z2rqeYcyxQmxJHFVIsVxNtspKorUs5aClNjaMyR902c8JXhzOhxlxK2MX1fQ5cS3fkSqYzVzNcaAwy4MBOKbJtJGkK3MLJaFPOJ1nSHmlEY8hW2qKMaYk0oCFUn6YIU7L91THSX4CazhJ0tkpiab0KV58V5FYtouXKR3TcmknNxSUcv7aN/odhvBlM4Ktnh3j1qoXxl1f55uthfvrrK379/kt+/vYN3335mN7RyxxpCWN36EqMHadi4TQFS8fJWDmKs915Onaen+MdIol/mBTeoZIIlvZyqFsuRNnkM9ZumYHMRnHWbpyOktrHKGyYhZzSTKTXTGf5iqksXjqZJRIiJCUnIy01FXmFaahpTMfQ8nO8w9eQW6PJxXtW9I/u5dlTX54/C6a315vTZ+1oaHKgoSWc29cqeNl9mS9G7/L3b5/D+5/41wWTf5aI79/9yvc/fsGV3gYK2kMYvFNFf108vZWe9Ja60F3izMMiRx4UONJd4U5ftReD1T4MVHvTVe7GYJ0/vdW+PCz3prvch54yHwaqghiuDqS30IXuXAcGClzpz3eg+5ANd/dbcCFChxa/LeTtUSLRdBXxRitIMVtJurUUGdYrKXVRpDlQk5NRxpyN38alFFuuHXTj3pEQruf4UBeiS7WvKiejjbiYvJ1zSVa0RhrREKJPa5QZrdGmNIUZ0xiiT3GcHNY2n6Kw6XM2aS1hm7kUtntW4x0qR/zBtaQUqxBdoE79CSeGeyP4ciyOr14f4M0XNTx/eYa3X3bzw99f8fMPX/KP797w5ZsBHvafpaA9HvvozRg5LcTUcTbm9rPYZv8Ju1wW4OIvjX+YPGGRygRHKiEU1QWQVepG7CEbXKJ10d4jzRrtT5BT/RgF5dmsUfyElTIzkZCcxiIJcZZKiLNyuTgyUlNRUvwIHd3P8fBex5HD+hw/aUp3lwNPBl14MezB+LAH3Q+dOHbcgqLybVQ3hdJ99yhf9N/iu+c9/P7DW3j/K/D+z4Twz6Rw4gMf3v/Ej+//ylc/jvNw7AzZR3052hbB6OUi+mrD/4CgxJNHhY50FTnzqMiZB4VOdJW70lflzkCtNwN1vvRU+zPQEMJAQygD9aEMN4QxVB/OaF0Yg5V+9BW7M1DqRX+xCz35dtxJM+NijB7HgrTI2yVHqtlyDu1cQ6mjEiX2chzZJU2xnQx17iq0B+lxNt6Cy6m7uZPjxf2CIK5mudERZ87RMF1OxppyIWU7pxK20RplRGuUMR1x22iNMKU+yJj2ZAUunVzA7sDJrDMU0LedhbOfJAHR8gTFqxKaugW//Vp4pWtRedKO/iE/Xo8H8/ZNGGNvYugdy+bBkxYevbrOyLd9PP1ykO7HNzl+q4KkSl9so7Zg5SuPlecqrFwk2Oksga3LKlx8FQkIVSM8QoOQcA2Euw8ruXGrkDMXMilvCiUmawfbPRTYaDwPefXZSCvMQnL1LJZKTmexxBQkJKaycvkUZFdNR1nxU0zNlhERpkZxri4dLVvpvL2boUdO9D3YTe9De65e3smRUnW8omWxDdtM3alDjA1f5evn3fz0j1dMvP87fPi/7BxOvOfXn75m7M19rnRVkt/uReBBLW6ez2DoWCZ9dSEM1PjTV+JFV4EzXYUu9JV70Vnkwt0CB3oq3eit9qS7xoe+hhB6G0LobQilvyGMJ22xjDbHMlQfwVBNKP0VAfSVBdBb6ktXoTu3D+zidJQ+jd6bKXNUJm+XLAV2a6l2VqTdU5kOLwU6/DbQGrCJY+F6XEndzu0D9jzI9+TWIVfOJtvQFm1KfbAOJ+PNOZ1oSVuUIe3RxnTEmXIszpymUH3KAzTpvrCc3vGpRFQK2CYL+OVOIq3mM3IbpDlYJ8eBehUSq9WJq9ak7ooxnUNWPBnbxpNxAx6ObqLjji55x62Jqt1DWLU3+9sSyG5PYV9dMCE5dngmmuAcpYVDyAYc/eRx8lqHvbs8jt4b8A3WJDhEB/8gbYQXr68wNnaeoYFWrl/Lo6bJn7gMQ3Z5yLB1+xKUtOYhuWYWEpIfsVRiGhISU1i5bAqrV85AWWEOJiarCA3YSP5+bWqLt3C81YiL563oOGVIaf1WwjJV2eaxgA1m4khvFbAIXUbFWT/uDtcz9lUnf//xNb+9+553/MY73vM7v/DLxPe8/aaXm/fKyat1xD1pLZm5xvSdyaanPp6+hjAGq4PoK3anp8iNvhIP+iu9Gajx41beXm4f3sP9Uic6q7zpqg3kfoUPd0u96K0LpacmiIH6CEaaohmqi+BpYxzDNTEMVsbQXx5Jd0kQN7McORljRluIIVVuGylxVKLRU41zIZpciNDgXJgGZ8K0uRRvwrVUa26n23IzYw83Muw4k7SdumA9agK20BFjTFuEAc2hehyPMf2jKog2pTrQiLYcGb7/4XO6/yJQcl/g0BURhTdF1N2dRMMtcapuTKP08uccPr+Yw+claL27iuv9a7g3IsOtvgW03xYnq3UmAbkLsU1ahUWkHHbJm/E5ZE5w7i4i8/cSk7OHkANWBKSa4B+rh1+oJm6+6th7bMLRWxN3P13cffQQvv26i6/e3OX549N03immtSOYzHxDfCKl2eUyF0Prz1HY9DnLpD5GYulHLFs8nZUSM5Be/hFK8nPQ1ZbAyV6BhGhN0tM2si99PWGJK9gbPB8j549QdxCh5yVgHSHguk8g/IhAavUMctrWUnXRncu9NfS9uET3iytcGzjOyQflnOoqpuN2BkVNrvgdUMUxfAWXjobRWxdLV004fQ3hDFb50VPoSu+fAPRWejNYF8CjUg+uZO3gWv4e7ld4cK/Si1ul7twq9qCvIYye6hD6asMYqI+ipzqM0cYEBqtjGaxOZKAmhYHaJAarYhisiOThkSCuZbjQFmlBa5gR5+JNuJJkwsVIXdq8VDgXpc+VZAuu79vOlWRrziZa0hS6lRKPjdT4a9ISvpWGIC3aI/Q4EWNCe5QZdSFGFIWoM9C1hL8jzqO/CJwYE9H6WETbsIjjIyJODAu09AjUPRCouCtQdUug+dYUTnZO59yjqRy/I6LktEBynYBPrhh2+6eyN30+3tlyhBfqEF+yjYwqW7KqncmsdGJfkT3x2buISLPCL9YU56Ct7HbfwnYnDbbv1UB4+/Y+4+PXGBpp4+rtbOrbPdmft4HA6E/x8J+Crcs09Cw+QVb5Y5Ysn8nihTNYtmQmUstmIi/zGZtV56GrvRRTC2nMbVahYzwXVXUBLRMBW3+BiJJJZJ4Uo/SGiKa7k+joFKPlmkBes4BftjjWSZJs36eHW7olnmk6uCfL4xYngWviQnYnzMY0YAolRbsZaErgQb4n3dVB9DeE0VfhRXexC30VHgxU/wFBf5UP/dW+3Dlsz/kMS67k2nKj2IUrR5w4l23PnTJf+urDGWyM4l6xHw/KgumqCqenMoLO0lC6KmPoroyjpzyaoepYHtclMlAdz8PyGDrL4ugsDedaph3X923nZqoVN9OsuZLyf0h5z+A272vbG7KTe05O7s1NcapPSWLHcS/qEmV1W5LVe6EosZMgGsFewQISBAGCBSAIohcSJEESrBIlUVQXJVEkUUkV9yLbsuzETpw4ceL4936grs95586ded+5z8wePIMP+PKsZ+219l747+CscidnKnbgy16LQxSDVbgMtzgGr3QFPbnrGCx8md68l+nK2YBFvA6/6Wk+/8cPuIOAwKfzuHh3HqPvCxh8S0D3qwI6ZwW0BQXYrj2A/oKA1gsCbKcFOE8K8IwIMA0JqOkUUOERoHALKPIIKGr7LuXe/0DVvZT63q0YB/ZhGjxK62AKLf5kGjqSUTlSKGg8gkS5hyNZG9iVspJXDq5AELkxzKUJFwNj1bT2Cam0rCar6mdICx5EmjOPeNE8th9+kDXb/zuL1/yY3z77Q/79se/y77/+Zx7/zfdY8MyPWTb/5yx94acsfO4HPPP0d1n+4gMkyedR3zWPgekHOffOA1z7YB6T7z7I5dfnMXxdgGFAgFT/IMtE/8zP936fJ448woK0f2OF8H/yiuwBXhEJ2CKaR2PLK9wYVBFoTOKqbh8ht4xou5yALYWQI40Zt4ioS0TEmUHUJSJsT2PaksA53W6GqzZzUneAEd0hepQ76Vft5awxlQumVK7bpIy3iLjcnME1k5SJVhkTLTIu6FK5bhQTsWUxY8tiaHu/SAAAIABJREFUxlXAlL2IcHstkQ41E5Zcxg1CxhviGa87woXaQ5yp2sNZ5S46MlfhlLxIe9YavLJV+DJXM1i4iYGCDfhy19Mmf5lW+Qu8dusn/JEHePVv85j8TMCFuwJOvfc/OPHer+h59beYpx+i7uIDlB8XkN8voHjgO1T2/wsVvn+iout7VPT+GzUDz9A8uhzbxZW0T22gM7idrkAswzcLOftGM+det3Hp7U6ufXCca++NcHLGQfv5MgzdGajs8WRpDpCQv5OdiesR9J7WYvRlU2jcyd6iJ1id8E9sThJwRDaPFLmAFKkAaf4PKKl6gfKazWSVbmZ/8mJe2vFbXt7wG9av+hUx83/K4icfYsET/5PnHv9nNu2ch8r23xgOziNy90He+vxB3vzjPG5+Mo/rbwkYCX4P59jjGAa20Ho8l46zTfRPuOi5ZsN5rhbDsIiWjmTOjqp5daSeSX0i4zVbOV+7lYBHStiTSdCexoxbwoxLRtguIuLIYNYlJmxLIWhN4LrpMGOa7XSXrMeZs4aO0s30q/fTozrAkPYAF1pSOKU9wgn1YUbrEhjVJjJccZDR6ljG1HFcrItn0pDCdKuEK6ZMzjdnM2ErYdqtYMKWy3VzJtf0Qi7pEjinPshoxU46MlfjFL2IV76G3vwNDORvYiB/I4OFW/DlbMYsXsPxzn/jd3yX238XcOUzAaMfCjj97kNMfbCf2Q8qmf3YyPidMjqDO/FM7mTg1WLG3rdy9n0rp95q5cKdTsKfnefNL8Lc+dtNPvzqNr/jdX7PG3zGu3zBp3zJF3zFX76ZuXwN/I2/cvevr3N+xoL7mBC95zAK3QES5BsRyOo3czD3aTYl/oiYHfNYulnAyh0CNh4UsDtZQJr822h1z9PdEcfJ4SJOnlLS4S+isSUdZcU+ZMJV7Nn+FAufe4gnH/kuTz3+bXYfEWDs/RZnb8zj5kfzePsPD/D6Zw8QuCfg7Jv/neHQSvzjUsamrNx+6xKffDjLnz97jy8+vcPHb4V4a3qM966d4o1TDiYNqVyr2c549Uucq3mFiDeHiDuTiFPMjFvGjFNK1JFBxJ5G9D4AAtYEgtYEJoyHOF6xAUv6QkzSVTTJVmMveIle5XZ8xdvx5m1iqHI3x2v24y/dQV/pDvpLtuHN2YSvYCvHKvYwVhPLqDqO3vL9nNFLudiSxeXWLKasOUyYMrnUlMoFbRwj5bvoK9qMN2s9XbkvMVy2ncHSbfhzN9CV8wqmjLVYap8k8M73uP7pPI7deYD2V+fhjj7IuddXMvtuHR9+coY/fHGTP/ztNd7//Brv/OESf/zbW/D1F3zNX7/JZ/7fXL/78l0m33AyeE6KrX0vZTXrEWw49E9s2C5g6w4Bm3cJ2LBDwMs75rFht4AtsQJEhf+C2/sKExeU3A44eONmD6++2k8w3Mmlc0Z8nfnUag8Rl7iMRSt+zuOL/4mtSQI07QKGJgVMvC0g/IGAiXcEnJwV0HX1MRyjyXSc1TBxc4SP7t7k84/v8Nm7b/NRJMDrl0Z49VQHN3w6JgwpTKh3cr16I1eUa7ig3UG0q4CwR07ELWXGk8kNj4yoQ8iMI52oLYmA+SgBSzwhRzJBWxLX9QfpyllO9aHHKY97AW3aEpwF62mVrMIqXYszay0O+Sp6ijfRkb0Gm3ApLalLaEmPwZwRQ0/+RgZKt+LKfon2wm0cUydxulHIWEMq5xvTOVefzKjqIMNlu2nPWo9bupr+ki0MKbbRXbCR9qyXsKSvRpvzLOah7+MOCDBfnUfDlQcoPT2P3OEH6JrezK132/jii9fhy9/z9d9+z9df/Z6v/v4ZX//9D3OzlK//7wEwN4b/mr/zJ+59Ps5EuBSvbwuCHVsFbNspYOe+eezeP48dewRs2zUHiI27BSTnfJeewf3cDLVy940RPr4zzkd3J3j/gyu88/ZZbs4OcHG8BXd3PsW1e0guWI2s5nkM/sfpv/orLt74GRdu/gDf1W+h7p1HvvlZys1p9I7aee3Vae69fZu7t0K8deUEt4ashNsqCTnyCbQkc029nfGKl7lStZ5LylVcNR5lpruEaFsWUbd0jgncYqLODGbsQqLWFELmRILWZELOdMJtYoL2ZKYNB+grXEPpvt+QteO3VMTNpy5lCTVxz1Nx8BmqDz+P9sgLNCctxJS8CEP8fJoTFmHLWElzwkIaj8ynKWUZzcJVdJfupadsH8Oqw4zUxDFUsRdv1ku4Ml+iRbgCV+Y6+go305O/Cad0LfqkpRhFazE5lpLTJaBkQIBieB5Z/nnE2gRsqhWQ2zWf4PtdfPXlR/DX38GXH8Hf7vH13z/n66/+yNf/+OK/JK/+9wM8/r9f/7mh/errT/jdH0eYDuYj2LhRwMat89iyax7bdwvYvmuOFTZtEbBui4B9iQ/i9G7h5oyde3cu8sffRfnjZ7f4w2c3+cPvI/zu7iR33jlLdMbHxatNnDhTxfBYCWMTRVyN5hO4JeNaJA3/mR00tm/B2V/BVPA8d167wYezAd65epLXRpxEO5QEWzO53pjIdNNRrtft4krVRsYr13GxfDWXKl9k1i1jtkdB1CNnxiVl1i1jxi0h6hQRtQkJt6YQNqcy4xIT9kiIdsiZaZcw40olajvKeP0ujCkLkK75BZmbf0nB/qfI3f04+TufJGfzI5Tsegzl/qcp2/EotQeeRn90AXUHn6Vm7zOU7H6Kkt1P0pwcg1u+EVfWRjryNuOWrsaaHoM+cRn61OU4Mtfjlq3FnBpD45GFGBKX09uQgu3EQZI8D5DmFSD0Cog3C9hcIWBpuoCnEv8b4vZ07v3jPfjyE/jTe3z5l7f5y9cf8BW/h/9XzuIf30Dh/z8L/OObQz/+8Y8/8+WXIT760INgYcw8lq2cx4q181iz8QHWvyJg/SYBazcIWPmSgO17voVKu5Txa1ree+8kn308zeef3uZPf3iVzz+7zaf3wty7c5X37ozz9rvnuHXjGNNT3Vy51s50oJtbt44xGx3gRmSED16f4pO3b3PvdoR3p87z+tkOZns1RJ35BI0pBBrimKw7wKR2L9drtzKuXMflyjWcV8QwrtnKrZ4SZntKmG3PJuqUEHVlEnZKCNsyiFrTCbUmE7amEHZJCHuzmPXlMduVTdQrY8aVyow5lunGPfRkrqBq1yOIX/4FaRt+SfJLv+TQip+S+vKvkG56hLytj1Cy8zEKtj2GcvfjlGx7jLR1jyDf8ltUsS/QlLwUddx89KnLaUpYhCFpGca0F2lKXoIpbRn1R+ejOfg8ttSV+HK2M+JSM/3uJMdvWak/t4cc339wqF7AqmwBC/YJ+OXKf+aHL/+CvEENb/z1Tf7y5fvc/XOI8Q86OPeemdt/PsMfeJev+fIbMvj6/wSDr+Grr7/iH/+H8O4cCL7iH//4nL98EeDju90I/u3X8/jVbwQ8+qSAx56bx1ML5vHcYgELY+axYMU8lq5/gCTZr+noTiMSsvDeO8e5+8FVPv44wsef3ODex7e59+nrTM5cpNFcg7QwkXyFkG6/jZnIOB+99xp337zB3dcivB+Z4K0ro7x2pp2bQ/XMdhQTtkkJGhIJNhxiSrObCfV2rtdu5aryJcbLVnJBsYyzlWuZskm5PVzNTHc+kTYpYYeIsF085wysGUQs6QRNSUy3phByyYh05jHjy+dGdz7R9iyiLhFRWyJR4wECdds4X7YOT+oLVOx6lNS1P2Xfsh+yY9EPiXvxXxGuexj55kc4uvIXJK76V5JX/we7F/ychNW/JnPrY0g3/DuZmx8hf+dvqTjwHKW7nkSx+ynK9jxJ5Z7Hqdr7JE7xWvrztuHN3cVgj5W2U2NM3HqDNz+9x/QHV+mdbCLXtoOY5Ef4ydLv8Z1Hvo3gme/wqHAlR6yZpDgSia1fwmH9j5B3PEz9uXWcfKuRe7zzXx7p/x7Aga/4yz/+wGu/v8WFd8a5+lGYd//+MX/mS/4OfMVXfMnnfP63t/j0D+e5+0EHgod//gAP/2IeDz/8ID//12/x8//4Fg//8gH+/dF5/PK38/jlEw+wYN2/kFKwCHd/DhPRLl57f5J3PnmDd373Hnf++BGj0xc5kLCVXTuXYG4pY/rqCe6+PcvHb87y/uwE706f5a0r/bxxxs3tY0Zu9FYSbcslahMRbUkiUH+ICe1erql3cLV6E1erNnC5Yj2XytdySbmO8foDzPqrudWvZLYrl0iblJBdSMiaQcgqJGJNn2MCSypBm4hIew5RXyEz3UXc6C5ktiOHm21ZzLqkhFoTmW7YxTXVBq4oX+Zy+WqOZS3BnPAssnU/Ji7mh+yP+Tl7l/0bexb9jP1LHmbnwodZ99QPWf/MQ2x94SEOx/wrCWt+ReLaX5Ly0q8Qrv8PxGsepmjrozQnLaUzezO9edvpzdlMW3kc5y6eQu/vQdHaROeJEU5cmWR85ibjt8Mcnx7DOOAmR69km+ww82PX8IMND/Ojdd/lFy/P44kDApZnCNhSLOCg9p/I7l1H520nN//yOm/+/X2u/j5Cz6ujDLx+lisfBRn/YJL+2WMUdZWxpXI3G8u2I3FkYxwzMxQcZvK188y8NcTs6+28+14v77znQ/DTnz3IT3/6AD/92QP85GcP8NOfPsAPfiTgn78n4FvfE/Dg9wV8/5EHEVfHMRY5TuSdGW588C6hd9/m5r2PGJscJy1jP4YaKe/duM4X9+7w2ds3eT9ymXcmRnj3op+3xpy8dryJm71VzHqLmHFlEbaKCLUkEmyMZVKzl2uaPUxqdjGh3sY11Wau1GzhsmY7VxtjiXYVc2NEzQ1fCTc785hpkxG2pc29/ZZUgpZUIrZ0Io4MIi4p4fZcIl0FzHQXcsNXwE1vLrNuOTdccmZsGYT0cUxpdjKh2siV8lVcKV/BBcWLnMxbhk/4LNp9j5K++mfsnv99tr/wEC8/+SPWPfkQMY99n5ee+TG7Fv2cHfN/zJ5FD3Fo6Y/I3vRLdIeew5W+An/ORvw5W/Dn7sSftxNnRTIWjxFTj4f0AjmZilykJdkkylLJqylDYzfSe2GU4J07vPenz7n98YeMRq5iP9VBnq2QDVnrePrIIzy6/zv8eo+AX+wU8O8HvsOzmc+wrHAtzwkX8eihJ/ht7HMsSF/NwvQ1PJMQw5P7FrHwwDJWHV3N5oxNxBcfprg+C5e3jhN9DYwOqhg5WcWpa1UIHvrJt/nJjx/gxw/N4wc/EvDt7wp46NffIWbbYg6I9xNfkIS9z8nMB29w9dWbXH/zdc7PRLn61mtcuBmi2ajCXiXl45mLfPxqmDvhy7x3/TjvXOrhzTHH3NHzw3Xc6innRkc+UVcmEbuIYEsiAUMcU7p9XFHt5Lp2D1O6vUxo9nBNs4eJxsNcbU4k0pbP68fruTGoZLYzh9l2ORHPXDsIWdIJtaYRtqUTtguJOMREPJK5sbI3j2hHHjOducx4c5hxyZl1yZl1SAgbk5iq28uVqg2cV6zhQvlqzitiOFuwmDPZCzgle57utKdp2PtLijf+DNGKHxG/5CH2zv8B+xb9mIOLHiI55idkvfQwtXt+iy1hId705XRL5uLjfflb6cvbQ0/uTsyKVDJy05AUSkiVJVNYVUSpuoSkjDgMdhPW7nYaOsw0drnwnhph/PYtbt/9iPc++5w7f/ozNz/5gAtvBjCdslPgKiGxQcjWwp08fegZfrHxZ/x8zY/51fqHeXLDozyx4Qme2Pwsz+5awoJ9q4iJ3cj6+J1sS9/Hkdx4MqslNDnU+HwtdDjV6E2ZKK0HEHz7uwIe/K4Awf8Q8L1ffZc9Gfs5dW2MNz58l/c//ZQP//wnXr33IccDVzkWuMKJ6Uscu36B4evn6Rrtw2Eq56JHwztXBnjzSj9vXOzmzTNO3jxp5vZwPbf7a7jdW8mst4Cocw4AYXMKIeNRphoOMlW/j+u6fUw1xTKlj2NaH0/AmELAKiXcXshrgxpeHahlxlfEbEcOUbeUoCODoFVI0JJOxDLXDkI2IUGbkJBbQrg9m3BbDpG2bCLt2QSdMkKOOSE548rkhkNCSH+ECdV2xstf5kLpWi6UruJ03hJGshcwJHqKnqRH6Ur8DZ7432CN/Q0thx6jcf9jVO/4NZU7f03d/scwHnoCR/zzeFMW05mxgh75ywwVbqcvfzs9OTvpyt9Na7UEeZEYaU4aB2K3I80Xo6gpYdvul6jQKjH7PLR2OxkcP0fX2VEsg30YB3po7u+hdbCXtpPDnJqeJHTnXV7/7FM++OKvvPPnPzL1/hv0Xj9NnqmS9ek7eGTj8zyy6Xme3LaE+XtXs+TwJpYnbGdt+j52yo+SpMhAXCVDpJYhb86loLUAoVbItvyNCLYkb+Rw7lFE1bkMXBvjzuef8sFnf+S1Dz8m+v5dLt64yanpSfqvnGPgyhl6zh+n5/wJus+P4D/dj9uo4Gp7La+POXn9tI03Tpp4+4SeNwa03Oyu4JZPwWxHARG3nJBZSMicQsScRMh4hOmmWKaaYgkY45luSSZgERKyiom4spnpKOWmX8nNATU3eiqY6cgl4pETdUsJ20WErEKmTamEW9OJ2IREHCJCdhFhTyaR9iwi7dmEXHICThlTNjEBm4ioU8asJ4vbbdlEWlKYUO/hmmoblys2ckmxjrMFKziZvZCBjOfoSn4Kb9KTuBMexxH/BOa4JzEeeoL6/Y9Rf/C3GGKfxHzkORzJC+nIiMGfuY6BnM0MFeycO6I2Zxu+4kM0VEoQ5QkRSROIPbgNkSyVwrJsduxaR0FFHtXNakp1lbQdH2Dg0jnajw/iHhnAPNBNQ6cTpbWRMqMWpUWPrsuNaaif9jOjDFy5xKVbs8zeu8vlN25hHO5G1lDBvkIhG8SxrEjeyfqM/RwuSUemyaW4RUG5pYKajlqahvWYj7ei8ek4WpuK4NYnH3Dj3gfc+uQesx9+QOjdd5l+6y2uvnaLE9PjeMYGGLh4Cu+pATyn+ug6PUDX2BAdZwfxn+7DZ1dzqa2a2yMtvD5s4PUBHW/01XDbV8mNjlJudRYR9eYSdkoImVMJmVMImhKZNhwlYEz8z4dvExN2SAm7s4i253PDp+BGTxmz3eVEukqItGcTdkkI2ubEYMCcRqA1jSlj8pw4dIoJOcUEnVLCbfK58mQRdMoJ2CRMWzII2cREbBJmnZncsIoJNMRxXbOXqzU7uFixibPFazietZh+yQJ6xQvoTH8eb+pzOBKfpTX+BYwJC2iKewpD7BOYjzyLJ3UpPtGL9MnXMpD9MoN5rzBQsIPevB34srfSWXgYrTKTtJw00sVHOXhoG7KcDESyJA4d2kRZVT6F1XmUahVY/V5ae9upc5kwtNswdbsx+FxYer24B7qx9nTQ3OWhscuBoaeNln4f5kE/tmMDdJwZZWR6grHoNKdC0/gmzmMe7cd8rAtLnxPPoJPhs34uB09z8+1JPnx/hg/fjXLr9WucuNqPYCwSovfyORwj/XSdPcGZyCTHpy7Rf3UM7+l+WnrseI75aB/pxTnUSeepHjzDXTiGvXiH2vGaqzhlzuVGXz23++u51VPFjc4ybniL51pAWzZhl4ywLYNQawohU/L9oU4aIYuQsE1CxJlJyC4l4pAx05bLbGfh/SpipquQaFfhHMW7xAQs6Uyb05g2pTBtSmbamMyUKYWALYNpRwZBh4SwO5OQK5OwM5OIK5uAVcakKZ1JUxoBs5BZm4SbFjGB+nim6mKZ0h3kqmonZ4rWcyxrOX2yJXSLF9Oe9gKe5OexJTyHNWkBxvgFtMQvxJ60kPaUJfRKVtMnW8uAfC2D2S8zWLCZvvxt9OZso1O+le7SI9TX5JKWlU66OI5DR3dTUJpNcup+Dse9Qnl1LpK8NJTNKix9bRg77ehcRpTGWqpNWuoczegcRmrtzeg7bNSYG6gw1qIyN1DnNGH2d2Af7MF5rI+2k8N0j40ycPkSI5MTnImEGb99kys3Z5i8OcOrb73Gh3ff4dPf3eHPv/uAL373Pp/de4s778wgGL5+mYGrZ+k6O0TvxeMMjJ+k63Qftn4Xhs5W9O0ttJ/oxj3cibHDjKPPja3HgaXbgsPXit2ooE8rJNheyQ2/mpu+cmbaC5ltz2fGk03IKSXkEBGyphM0JRM0JROxpBN1iIk4pcy45fdBkEnUKSfqySHanne/Coh05BPtzCfSJifiEhO2CQmb0wmaUgm0JBE2pzNlSmGyNZWgPYNpu5Dg/d8O2yWEHXIizmymrSKum9KYNKYxYxFzyywmpItnUnuIYGMcl6t2cDx7Db3iFXSkL8GTvBB38gLsifOxJC7AnLyY1uQlONJX4ElfRlfGcvpkq+nPXE9/5joGsjfQn/sKvTlb6c7aSkfmFnoqEqitkJGRlU6a6DD7YrdSXJ7D0SNbSTi6GVl2IrJ8ITqnHoPPTr3HRI2lngqDioomFRpLA3UOA9XmelRmHRpbA2UNVVTqa6gyqKkwqFG21qO26amxNlHvsWDs9uAY6sV39hRDE+MMT1/neGCa0+EwF2aiRN56izfv3eWjTz/h95/e4+N7dxCMBq8zMnmFwSvnGLxymraT3Vj6HNj7nTS1GWj2mbENejD3OdG46jF2tWJoN6Bva6TF20RraxmdNWlM2AqJdJUx6y0h6pnL70WdmYTsEoI2EUFrBkGLkIBZSNghJuqRE3FnEXFlEXFmEXVlE3FmEXZmEXJnzYGgLX/u05tDyCkl4hARtosIm+dcQdCUTLA1da412IQE7BlM2dMJOiTMuOWEHRLCDhkRZxZBu4Qps4igWUTEIuFmq4ig9gjTmkNcrdnLUPZaOlIW44yfjyXuGcxxz2A5+jzWpIWYk5diTY3BIXwRZ3oM7enL8IlXMCBfy0DWevoz1+KXv0R35ga65Vvokm/Bk7kZd+kRSorSychJI0l4iINx28ktFHNg3zriD28gIXkv5epi9B4TOo+JencLNeYGakz1aMyNVBu1VBpUVDRVU9lYhVJfRVlDJSV1ZVQZa6hsVqE01lJnbURrbaLObkDnaqbJa8XQ6aS1z4vjuJ+uC2P0Xxun/+plBq5d5mQowOSbb/La3bu8/8nHCPyXxui/eJbe86fxnT+Bd2wA75gfU68do8+CpddGc6cJU7cZZWsVDS4d9bZadPZaGl11GM0V2JUpnDFICDjzCDhzCDqymHFnE3XJCdklTFlFTNslRFxywu4sIm3Z3zzksDuHqDuXGXcOIaeciDOLaUcmIU8OEXcekbZcIp4sIg4xYVsGEYeYkDWDQGsqgdYUAuZ0QraMOdfgEjHtEBFwSuf0gEs6t2zyZBN2ZhK2ZRKxywhZxESNQoLaOCbV+ziesx5X/Au0Hnga08GnaYl9BsvR+Vji52NJWIglJQaHcBX2tOU40pbgFS6lWxSDX7aKfvlqBrPW0Zf1Et3yjXRmbqZdthm7dAvGvFjkuSmk56ZzNO0gCakHkOemsXfnSg7uWYU0Kwl1UzUNdj1am546ayNKg4qaFi3VRg1VRhWV+kqUjUqqGpVU6spQNlVS0VBBlaEGpbGWSmMt6lYdGksjNeZ6NDY9dS4jje1mmrtdmPxeLIM9uE4O0XVuFP+lCwxcuczgtXFOBie5dvsGgt6Lp/CdPU7n2DG6L5zEOzZAS4+DelcT1l4bzV4j9c56rL0W1GYVdRY19TYN9bYadJYq6ptLaKlMZUCVwLhRzLRNTsCRRdidS8SZTdiZPZfra8tnpqOYmc4iZryFzLQXMeMtZtZbSNSTT8iZQ9ApJ+zIJOCUE/bkEvHkE/Hczw84xEQcQiJOESGbkJBVSMgqImQXE3aKiLgkhBwignYxAaeMkEdO2JnJrDuLqEtOxCUnZJURMkuIWiVEjekEtEe5XLGTjpTFmA48hf3IfOzxC7AnLcKZshR36jI86StwCFdjS1uJI3kZHuEyujKW4ZesoEccQ1/mKvqz19GXtZ5O2Vq8mS/jkmzAmrERdeY+xDnJpOemcyRlP2mSo4gzk9ixeSnJCdtQVOdR26xCY9ZRZaihuqkKRZ2CioZySrUllGgKKdUWUaoppFRTRJmmGGVTOUpDFVX6alTGWqqMatStWmpbdaiMGmpa66iz66l3GWloa0Xf6cDU68VxvA/v2Al858bwnRuj8+wo/svnOH79GoKmbjsNHa00d9to9TtpbDNQa6ml3lmPod1AnV2HzqHD1NWC1laLprWGJpeOOosKjakCTUsphiohbUX7OFWXxHVLJtOOHILuPKJtBUS9xcx0lRL1lRHtLmfWV0a0s4SIt5hoRzGz7YVEPXlEPLmE3FlM22WEPNmE2/IIuXIJueSE3ZlzPd6RQciezrQllaBVSNgumlP9jjkQhJ1igvYMAg4JQaeUiFPGrFNO2DbXFsI2KZOGVKYMSVzXHeFi5R76patxHn0ed+IiOtOW401dRnv6crwZK2hLX44jdTnmlBW0Ji3HnrKMzowY/OIY+mUvMiBfTV/WGnqy1uGTrqZdvBqXaB3W9NWY0jZSINlPamYiidIE9iXsJEOexNHE3eze8SKFhRlUaEqpMaqpNqqpaKikvK4UhbaYUm0xReo8ClW5FKpyKajOoagmlxJ1AWU6BVX6KlR6FTUttaiMamqMalTNNaia1dSYatGYdWhtDWhtjTS4W2hst2D0ubENddN2apjui2N0XzhN59mTdF8YQ9Dsd6Jx62nqMFHnbkJj1dDobsTka0Xf1ozaXIvWVoepy0RLZwtaSy0GdwM6ay1aswqtuQpjfT623H0MVx3hYouUSWce4Q4F0a4yZnxlzPaUM9NTzkx3OTM9FUR7yon2lDPbXUbUWzxnCTsLiLbnE3RlE3LnEnTlzt275AQdUiJOCSFbxtxQyJpOwJJG0CYkaBURsAkJOUSEnWICjgyCTglTNhFT1gzCNglRu5SwU0rQIuJ6UyJXtYcYLdlMn2w1rvj5uOJfoC1pMR2py+ZAkLYMV9pS3OnLsKctx5IagzVFCK3qAAAgAElEQVQ1BnfaMrrFy+mTLMcvWUZf5kp65KvxydfSnfUSbZK1mFNXYkxcSW3KJtJFsSTLk0iWxHMweRdpkji2b19FWupeFJU5KLQKlM01qFrUKBsrKdeWotAWUaTOp0idS4k6j2J1HkWq+1WTT7mujMpGJaqmaqrvA6jKoPqGBWrNc6WzN1Fna0Tn0FPnMKB1GGhoa6Wlx4N9uBfv2Ahd50fpvnB6ThN0jg3S3GVH6zSg7zBj9jux9rnQe000ePQ0uBoxeI3Y/Hbq7HXoXQ00OXU0OnXU2bU0WaqxlCTiV8Rx1iBjwllE2FdFpLeaaK+KGX8Ns34Vs70qZvwqQr1KIn1KZnorifoURDqKuNFVzIy3iLBnjgECjmymnVmE3HJCLtncIMg2tzkMWUUELMI5sWkTzQHgPgim7BlM2URM32eDoE1EwJLBlDWDa83JXNXFcal6L8dy1tGRsoT2pEW4EubTnrqEjvRldAhX0J6xArcwBodwOZbUJVhSl+MRvkincAU+0RJ6xYvpl69gKG8d/qy1dEhX4ha+iDUlhpbE5TQnrqcwbTuJGXEkZyaTJIwjNnEXB2M3s3/fenLzUimpyqW8vhylvppqQxVl2lJK1UUotEUU1+ZTVJNLsTqPktoCSmtLKKktokRdQHl9GZX6Kmqaa6hqVlFt0qJqrUPVqkNja0JtbUBt0aG5D4B6ZzN1tibqnQZ0TgONba00+9zYh/20jx7Hd34UwfDEON6xY9iGurAOemnt82DyuzD1Omn2Waj3GKhzNdLkNeAe8qBvN6L36Gn1NqN3N6Cxa9A56mjR5dGhTOJ0s5xxp4JgVw0Rv4ZoXy2RPg0zA3XM9mu5MaBlpk/N7EAN0T4lYZ+CaGcJ0c4iQu0FhDwFBF15TNnlBJxygi4ZQZdszmpaRYSsYqbNQgIW4Ter5IBV+A0bBGwZTFiETNnFhO+7k2mLkKnWdK41JXKlLpYL1bs5UbABv3QVPtEKOtKX0SmKoUOyAq/kRdqFK3AJYzCnLsOUvARL8mKcKUvoSF9KnzyGwZwXGcheiV+6ik7RCjzpy7EnxWCMX0JL4otoEjeRmr6HI+mHSZImEpe6j4Nx29m1aw3C9H0UlspQ1BZS2aCksklJRUM5Zdoiimrm3vhCZTYFVVkUqnIoqc2jvE5BeV0ZZXUllDdWUGmoobpZTaW+iqqWWmrMOqpNWtTWBmptjaitDdTYGtE4mtDYGtHam9DdB0Gd20ij14axuw3rYDeeU8MIHCM9WIc6cR7rwnnch+ekH8ewD2OPg8aOVnReI/UdRgydJpz9Liy9NnR2HZYOIy0dzehcOrSOOvT2alx1ckaacrjgqGCqu45IfyMzA43MDjUyO9zI7FA9s4M6bg7WcbNfzWyPkpnuMqJdpUS8xUS8RUQ6Sgi1FxJ05RBwyoh4Mud6vON/WU0RkxYh05Z0Qvd1QcQhnrOINiHTViGT1gyuWzKYsoqZtomZsgq5ZkzkSkM8FzWHOFO5kxMlm+beZNlquiUv0ilegVeygjZRDJ705biFMVhTl9OSuBh76lK8omX0SmPwZy6nV7YMn2gZ3tQltKUuw5a0DFPcIlqOLKIxYS3SxK0cEO4nVniYNFkycUl72LNvE0ePbkUuP0JxhZxyXSmV+ioqGysp0RSRX51NQXUOJTX5FFXnklchp1CVMycKa0so05ZRXldGRZOSSr0KpUFNRVM1SmMttfedgcpST61dT7WlgWprAzX2JlSWemqsDWgcejROAxpXMzqPhaYOJ83dbViHehG4Rny4RnroHBvGf3GUvktn6Dl/is6xIUx+FzpPC6ZeBy1dVuw9DtqPd2DsNNHaaaLZ24ze04ShzUCDqw67pZoBo4JzDiXXe+oIDxiIDhqZGdRz45ie2aEmZgZ03Bis42Z/LTd6qpjprmDGV0ako4SZLgWRzhKCbQUE3TlMOySEHGJCdgkBm4igTUzILiZoFxO0ZRA0p80FSuxz84OgPYNpazoTpjSumdK51prOpFXEdXMaVwzxXKqL5VzNfk5X7OSkYguDhevwy9fQKV6BR7gUZ9oSHGlLcKQtw5K0iJb4+ViSFs8Nh8TL6JEupVe6nF5JDJ3CZbiSFmBNfIHWI/NpPfwChthlyGLXciBxFwcS95IoPkKqOIH9sVvZvmMtGaL95BWkUKrKpaKxjPKGCsrrKyiuLaJAlUthTS5FqjyKVXkUVGeTq5RTVJNHaW0RCk0pCk0Z5Q2VlDVWUaFXoWyupbJZTa2lEbW1kSpLPTX2pv9Sc9+pbI2oHXpq7E3UOg2oHS1o26w0dDho8XsRtJ8apPvcSYauXuD4xDjHJ64wMH4e76khHEOdWAe8mPvbaelxYel14Rxsw3W8A1uvE2uv475gNNHsMWDyGuhqa+C0o4bxrjom/M1EBluZHW7m5jE90cEmZocamB2oY7avltm+GqI9lXOC0VdG1FdGuKuEaXce4bZcpu1iJkxpBK0ipluF99uAiGlzBkFLBmGLkIhFSMiSPrdVtGcQtAuZMKVwpTmZK8YUrrQkc6U5kcsNcVzUHOSsai9jlbs4VbaVoaKX8GevwSdbSbt4OY70pViSF2FKnE9r0kLMiQuwJy+kLW0xncJF9EqW0StdRlfGUtpSFmOPfx5T3HMYY5+lLvYFsvbFEHt4K3uO7uFQ6l7SspJJSDvEjl1rOHBgA9LMWEqUMsq0RVQ2llNRr6RMV05hTT5F6nwKa/LIU2ZRUJ1FbqWMnMpMCqqzKVbno9CUoNAoUOgqUTRUUtZUTbm+hkpDLcpmDdXmepSWeqptjVTbGqmxN1FlraeyVfcNAFS2JlTWJqrMTdQ6W6n32jH43AjcI334zp6g//I5Bi5fYHD8At3nRmk/OYBnpAfncR+2YR/2Y904RrqwDLTRdqIH78leXEPt2PtcmLpaae4w0tTejK1Dz6C7jgvtWq52NzI1YCQ8rGd2uInIUCORwTqiA1qivepvgHCzt5podwVRn4JwZwnB9jwibdkEnFIm7WImbRImWtOYNKcw3ZrO9ZY0ghYRYUsGwZYkAqZkpltTCVjT5yyiTchESzJXmxO5pD/KxYbDXNId5pL2EOfV+xmr2sVoxXaGSzYxWLgBX/YaPOIV2FKX0Jq8EFPSfEyJ87ElLcCbsYQeaQy9kmX4pcvxiZfSlrYAZ9ILmA4/h+HgM6j3PIV07yKOHN7MvsPb2Hl4G0nyeFIyE4hN2M22bctJTdlBbmEKJaocyusVlOrKKKkro6i2hAJVAQWqfApUOWSXS5ArhMgVGeQpZWSXichSiCmozqO0TkFJXRmK+koqmlSUG2oob1ZTYahBaaqjokVLRYsGpVlHta0Ble0/2UFla0Dt0KO2N1Nt0aO2t6DzWNF5zAjM/R4cx7poO9l/Hwxj+M6O4BrpwXOiB9/ZY3SdPY7rZD9to4N4Tvlxj/TgHe3DO+rHM9yJuceBsasVY5cJU2crni4Tg14dlzo0XPHVMe5vINDfRHRIT2SwiZmhJqL994Vin4ZbfjWz/irCnaWE2vIJuuQEHBICThnTDikBh5SATcRkazITzUlMtQoJ3HcI060pTJnuV+vc/CBoEzLVmspVQyKXGuI4rz3AhdoDXFQf4FzNXkYrd3FMsY3+wk1zfxqVrZrTAEmLaEmYT0vCC9iSF9IpisEvW05/ZgwDshX0S2LoTFuMI/F5WuOexnDgGcp3PknankXEH9nEzrgt7D26jURxLBk5SSTJ4ti6aw1Hjr5Cds5RiitlFKvzKWuYA0BhbQmF6hJKNKUUVOchV4iRFaWSVZKOvESIvESEtFhIVpmE/OpcirWlFGkVFNeVoqgvR6mvoUJfQ1lTNRXNaiqa1VQ1q1G11KGx6VHbmlCadSjNOmrsTWhczWhczVRbG1FZ9dS5TNS5TAj0PjPN3VasA+20nfLjPd1P+6gf54iP9lN+es6N0HP+JD0XTtF9bpTOs8fxnh7CccyHa6Qb5zEf9sEOTL1OjN1WrH4Ptl4XXb0WTnrrudyu42p3I9f8TQQG9ESGWrhxrIWZwSai/Tpm/Bpu9NYw06sk2llK0JXFpeakOZ9vEzNpFRO8D4Kp1lSmWlIJWOZs31z+YG6tHGxNI2BKYdKYxLQ5jSlzKlf0CVxqiOOcej9jyh2MVe7gpGIrx0teYaBgI53yNbRLVuLOWI4lYQEtcc/REv881sQXaEtdiD9zBQNZMQzKYxiUrcCXthB30nPY45+j6eAz5G9+nJSdS4mL38qeQ5vYl7CVeFEskvxURDnJHEzYxe596xCK9pBXnEqxKpdibRGlOgUlunIKNSUUqIspqS2mqCafLIUYcW48mYXJZBWlI85PISM/iZxKGXlKOQWqfPLVhRSo81BoS+fEYn0F5Y1VlDdVU95UTWVzDRWGWqpMddRYG6m2zonE/9USqiz1KM1zLaLWYUBta0JQ39ZMS7cd57EuvKf6aD/lxzrYPgeKE346Tw/iOdGL9/QgfZfO0j9+Fv/F03hO9GPp92Ib6sA90oNj2Edrr4uWbhvNPiuWbgtur4GRDj2XfPWM9+qY8usJ9OmJDDQzO2RgZqCBmd5aIt1VhLoUhNoKCLiyuWbOYNIuYdImI+TMJuzOmhODVhFhu4SQTULIKiZsFRMyZxBoSWXamMx0cxKThkSuG5OYMCZx1ZDIRV0s59T7GK3YxkjJJobz19OXtYpOSQzu9CU4khdhiX+e1vhnsSa9gCNlPh3ChfilSxjMWspgzgr6ZMvozliMJ+E5HPHP0rjvKTK3PE7c/uXEHtnI/tiN7D36CgmiQ0jyU8nISyJZeojde9eTLtyLNCuWkmo5pZpiynQKyhuVFNdXUFhXRpGmlILqfHIrMsktlyIpSEGal0hWSTri/CTEBclklgrJLpeSr8wmT5lLXlUWCk0RpepSFBoFZfUVlDVUUtagRHFfK5TrVVQYaqhs0VLZokVlrqfG1ojK1ojSrEN1/77Wrkdg6LTgGO7Ee7of7+l+bINeWnpdmPs8eE704r9wkp5zx+g5P4L/4ijd50/ROXacrjPH6RwbxjXSi+dkL20n+3EN92Lyu2jucdDcZaWprRlXp5ERn4FLvkaudTUx4atnqreB4EATkf56on11hHzVTHtLCXgKCHjyCXoKmHTkMO3MJezKI+iQE3RICDkkRFyZhBwyIs5MonYZAZNwLo7WnMREwxEmm+K52nCEK03xXG6M56LuEOdq93NGuYuTiq0cK9xAX+aLdAoX05a6GHfKAlypC2hLX0xnxlK6RIvoly/heO5yhnJi8MuX0yNajDfhGWxxT6Pc9TgZ254j9ejLHDyyid0H1xEbv5Wj6fvJyEshPSeR9Kx4du5bR1z8K+QVpVKszKS8rhiFpoRSrYISXQV5taUUaBUUa8vIq8olq0yCXCFCVpKOKD8JeakQeXEGkrwkZIWpiAuFZBRkIC0Rk1UmpbAqj7JaBYraUhT3GaGsoRJFYxVlTdUoGpSUNVRSrldRrp/bNlaZtNRY59igylJPjcNAvasZQavfgWPYi2PYi6nPSUuPHZPfiXXIS/vpfrrGBnEf78Yz0kPPuZP0nDuF81gvzmM9uEf8eEeHcN8XkB2jA7hHejH3t9Pss82Nol0NWNv0HO8ycdHXzBVfPRNdOiZ76gn1NRLtryfsryXYpSTQpiDQVkroPiCmXXn3R8hyAg7ZHCM4ZQQcUiIuORG7jEBzGtcbj3JFd4gr9Ye4Wn+Iaw1xXGk4yuX6o1yoO8wF7aE5V6DcxamyLRwrWE9/9iq6ZTF0S5fiky7FJ1mKT7yYHskCBvOWMlL4IsPZK+iVLqczfTH6Q09TsOtJJIdWEJ+whf2xm9i7fz0H418hIX0fwqwEhDmJpOcksD9+O4cTtpOZE09hhZjS2nyKNSUU1ZZQrC2hQFNKbq2CXHUpeapispU5ZFfIkCkykBSmkpGXiKw4jZwyCbL8ZMS5SYgLhQgLMpCUiJGVScmryqaoJp8yTSkl6hIUWgVluvK51qBXfQMCRb3yvmaooUKvosqoocqso9ragMrWhMZWj6Cly0Srzzy3K/Aa5rIC7QZMPitWvwuzf67XO4c76Lt4ko7RAVp722jpcWPye7AN+nCP9GIf7qD9RA8dJ/vxjPRi9nto8JrQOnXUWWpptKvp8uq40Gvgmq+Bq+1qrnvVhPyNhPoaCHbXEupSMe2tZNpbRqC9mHB70f0lUjZhdx5hT/7cEMk1FxkLWcRM6ZO4oj3IuGYv13QHuKzdx2Xtfi5rD3GpLo4LmkNc0BzkrGoPZ6r2MFq+jROlr3C86CX6slfQLV1Cj3QJPbKldEsWMiRfxomCFzlZsJJjOSvwZixBffgFcg4tJSN5I0cTX2H3vpfYs28dh+I3cThlGyniQ2RkJiCUx3M4dRdHU/dQWpVFaXU2ZZoCSjSFFGlLKdaWUagpJlddQm6tgpyaEnJVhWQps8lUiJGVZiArFpJZnEF2mYSccjHZpULEeUmIC1KRloiQlEiQlEmRl89ZyCJVPqW1JShqFZRqSlHUlaGoq6C8Xjk3U6ivoqyhCkWDck4zGGqoMNZS2aJFaapHZ9cjaHBo0LsbMHoN6D2N6OxaVKYq1OYa6l316Fz1NLQ34TnRRefpfsx+D/pOK83ddsz9bViHO/Cc8mMf6sDid+MYaMM51IFtoI3mLisNrkbUZhWVegXKhmJcDg1nu41catNy1aNh0tfIdE8DUz4N010qJtsrmO6sINRZNicUnfkEbDmEnHlE24qIeAoIu3MJOTIJmkVcrotlrGIbF6u3M67exQX1bs5W7Zor1W5OK3cyWvH/FHFmzZJc13Xuv2GHgzIdIVsOi1RQYZsULYEyRAEEIBOkAAFodKO771xVOU9VOc9zVdZ86849YGoADRCUSYqUbIbpMO0gBQKgZP+fzw91ST2ciBP5kC9nnbXXWntnfoefZn/Jf0++w99F3+Zv/Bf46+HTPFG2DPCh/HU+lL/K982v8bfeN/ip9zQ/Gj7NVf/rpDt/hN57gb7wEjffeI7vvPQNXnv9GW7de45bhy+yJ73KkXwbxTpgf3CT27vfxnIPCUsTr7RIO59g7G0FXeViVR5mHaDlLlpuY5ZDtERBC0W0QMBMFEaphp1pWImEHgrI9sE/gcATEBwByRMxk22O4NcO0Tjc5ghtQDiOCSfJlhlmWxBE02wLhmumSNcV2aal3Iy5Mb1qWT6acvzWksWbc2YPp9RnFZOrCbNHc6ZvLTn96Iq3f/I+9z9+xPrdE5bvnrB+75z1+5ecf/9Nzj9+k/V7l2w+uOD48SnHj0+4/PiKzfvnrN4+oXswpTotSeYB8dTh9KTgx+8d88snJ/z9+yt+8cGcX7w/4ZePG371XsXnH5T8wwc5/++dmM+vbD67b/PZ/SGfPxjx6/vWlh3uG3x22udn1cv82H+WvwuufyAdv8DfuM/yI/c5fhQ8xw/cb/HXw2f4sfsCP/H/gh/a3+Jj45t8IP8x7w7+PY/7f8h7h3/AB4Ov8CPnKX4SfZPvOX/OWnseX3oRRfwud3af56VXn+bVV57m9dvP8Pobz3Ln4EX65l1Eax/FPmJXeI2edBPDusfQ3SVtHaKJRzaPCSY+w2qEVbiYpYdV+Ri5i34NAjPTMRMVM1EZ5dv4eJhq6JGIGvQR7X0k+wA9kpE8EcEZIDgD1FBmmOu4lUXYegTNVigGTbDdjyOiLiGZb1PGcJYTzQui3wDhuCGaZtyYPxizeXvF8VtLZg87ugcTpg+mLN9es3rnmJMPLrn6+BFnTy5YvbVgdtUyuRozvuqYPlqxfGtNczFh/mjJ+ZMLNo83rN5ecfr+GecfXnLy3gWbt0/pLjuq85r8OCOZB7TrkMePJvzsgzW/+HDNJ09W/Op7Sz77eMk/fDTjH5+0/N93Mn79yOfzN10+fzDi00uDTy40fnWl8um5xC/md/jb8Fl+OPwGPxz+KT8YPc33R0/zPf0bfKQ+xRP1Kd5TnuID+SmeyH+yPfj+13in91Ue7X6Fy1v/lvPXvsjl3d/lsf6feBy8yKn/CpH2XXq9F7m7/yKv3n6Gl1/7M27efoY3dp7n3tGL9JSbiNY9RPsAye2xr91DcA7wCxXFvIWb9Min2+GQZBYzqhy0zEDLR2iFg1G4aJmNmlromYkWKxixjJWqjDINM1bQAhE1EJCcA4Rrl2DEMlooIXsSfVtA8GTkSMVINOzCImhc4klE0PjbzmPtb0XjLCXoEsJZRrIotoJxlhHOc4pVxY3Fwwkn76xYPZoze9htB0cuGiZXY5rLluWjBcs3F3RXLeOzgmLlU6xjmvOa9rylXGeU65T5/QnLh1NmDzqWby3YvLtm/eack3dWXD4+Y/P2Me3lhGyZkcxD/KlDPvc4Ps/53uMFP//4jM//6yW//viUf/xozedPJnz6OOeztxI+fejx6aXFJ+cmn5zr/Opc4dMTgZ/Xr/ID8ymeCP+R94Wv8p74dd4Vv85bvf/Ag/2vcHVv6+kv73yJ8ztfYnPr95i9/EXG3/mX5H/xBcIXfofy1S8zl/+czruJZ96mP3iJ2/v/hdd2nufWvW9xe/c5bu+8wN3eX7Inv4Zg3kGyd1H9PpJ9yJF6F8OXSTofP5ORrNtknU21KkgXCd4kxMwd9GsAiLGJnA6RYwPBk5BDCTNRsBIJM5bQ/QGa30f1Byi+cK0RehiRtA2TAgHBGdC3RXojiYGrIAYKeqwyvO41hK133Wu4ZoVxSNjFWyBME+IuIpiEBF1MOku5Mb/fMrs/YXZ/wvRhS32aUm4Sik1KfV4wvWppzyqqdUKxDEgXLu1ZzvSqpT7OSKYu1TpkclHQnORMLxpmDzpmVy2zi5LFZcX6zRmbt1fM709pz2qqVUy68MkWEcnUJ1t4LE9iHr814acfnvGLj0759MMln73f8dnbBb+68vnkzOKXxwZ/f6zxy2ORXy57/DT+Lu/3vsaDO1/m4c5XuNr5Q05uf4nTu/+O1eu/x+KVf0P30u+SPv8F3Gf+OdY3/xnas1/A+as/wN/9UwLpRULrFvbwDQbqTe4KL7MrvcKu+DK7wiscyLfYFV/lQL+DZB8ij/ZRnAMUv4do7yPa+9i5Tr0qyKcRlneEnQyo1xnVuiJZxAxrDzUeomcjtNxGSiyUxEIOVER3gOj20IIBZjhAc4+QhvvI9h6Sc4AaCFixgnVdKtRIRvQEBvYA0ZUQbBHBljkaicjhNlDaAmF0rQ22IPCbgLCLCacpQReTzBKCyTa1jMchN+ZXDbP7Y7rLmmzlE88cinVEfZoyuSiZXlXUm4h4auE3GtUmYHpR024ysplLOh3RbELaTUR1HNGeZLQnGdOLmu68ZHySMT7NmV5U21Jy3tBsMvJFQLEMyRcBcecSjg2ymcX42OP0PObDNxv+2ztTfv5Oy/95mPC/L0b8r4XA/2z3+B/NG/ysusnH+jeZfudfUT7/L6i+/UWC57+A+9zvELz4r/Ff+n28V75M+MYfYe/+Z9zDbxFJ3yYwXyEJ9nC8PVTrDqJ2C0G7hWDcZmDdRnJ2GYzu0TfvYQYCdqphxQpqIKAGA8xURnJ7WKlKOgsolgnNaUPShejuLklrUh/nlKsSuwnQChfBVxA8GSU1kVMbORlunzl91EDETCSsRED1DhBHuyjOPkYsYaTbw9cTDS01UWIT0VcYuH1Ep4/oCAiOuC0NjoAWXTNCbuCUFkHr/hMYJhFeF+NNQoJZhNMFjBqfuIu4MX/QMn/Q0p5lpDObdO5QrHzypUe9iWk3McnUwK8FyoVDd5FRH4fkcwe/VogmOtXKpVg6FCuXch3QniRMznOaTUJ7UtBsMurjiPo4oN3EVOuU+jilWIVkS598GZDNHdLOJGhF/ErAzQbEtcZ4MuR84fDexuHJXOXd6oD38l3eiW9zPvwuxc6fEN35Y4LdPyMWXiQ1/orUep3Mu0ca7hJG+7jREV7cwwp3UJzXEc2bSMbrGPZdTGcX3d1FdfcQR3cxwkP0qM+o0PBbGyPVMBMVNzewUgU91Qi7kPK4pN6UVOvtcgsL3d2nWvmU64xklmGWHlJsIXoKoisj+CoDT0OODERfRvYF1EDAjAW0oIfs7iMOd1Ccw+3Njw3kZIiSjVDTEVJgIkUGUiijBAJqKCJ6A0RXRHBEBraAEkhokbztQOYGXmUT1B7hJCacxYRdRDRPsacRziTagmDxcMz0qiaZ2URjg2w2Ip0OicYGSWcRTYZEE42kM2iOQ/K5vT2sWiFoFLKpRTkfkc8s8sWIcuUyOY2p1z7l0qXdJIxPc6pVSL6waTchq4cTJqcF+cIjX4ZUm5hi6VPMHJLOwC0EnOwIM95F8e8gma+haa9hmbewvTv4/g5RtE9eDSgbhTTvE8b7BOkhdrSLHeyhD29jjO5gejtYwR52uIcR3EMP9tH8PYxgHys8xAiO0IIeZizglhrh2CbuPPzWxW5c7LGHWZrIoYiZaiSLnPZiRnPW0Z5NqI8rinmM6hzgZirtSU62ygnHCVpmc+RIyL6C4qsMbIm+IyH6MpInoAYisttD9Xuofh/ZPUL1++iRghxIDDwJOTGRY4OBr3Boi4iBhhzIyP5gmy7aBwj2EUogI3nKb3WGGkoYsYKVatssYRzij0PCcYjbRhiNjz2OCGp3ywTNSYrf6niVRFgrRI1KUMmEtUJYyUS1StzoxK1K3GqkE524UUknBsVsSD61yKYmxXxEs/IoZiOK+Yh27dGsXcabhPFpRneWMzlNqdY+k5OY2WlGs8loNjHVKmB8nFKvQ4KJiVvL2OkRdnaIEe6gmDcRjVcRrJv0rVv0rVvIozcw3DsYo9cx7VsM/TuY7l0M+w5DbwcnOiAqJbxKIah1gtrArzXcWsVrTZxKZ5RrOIVJUI9IJi5x5xJNrmf9xi5WaSKHMmZhkR+XdFdzZlcLxmcTmpOGbJ7gZCry6A7lPKRcF/iTiFFhoyYGPREHSFcAAAguSURBVE+ib/cZDPsItkjPFug7PWRfwIgVFL+P7PXQQhE9VtFiAylQGbgDBLeP5G9r/8AWGbgygisiuQKKP0D2jhCGu4jOAWaiIPsyPVtE8CTUUEaPFfRY3k4stf62C9n42HWI2YTY4wg7M7kxvV9RrwOiiYFfy0Stil/L+IVEUmvEtUqUS0S5iJ0c4RV9okomaXXSziSbWqQTk3Ssk7Y61cymnNnUS5dm5dEsXaqlS70O6c4KZhcV3UVNdRxTrzy6s5jV/ZL5ZcXkvKI9LWg2KeUqJGyHeKWKnYlY0RGGv4vp30PzdlCdHUxvF925y9DdwQsPCLI+Xt7Hz/uEtUzcaiRji3Q6olh4lKuIbB6QznyqdUqxTEgXMfkiIp+7ZNMhYWvi1RbRxCeY+Mixilk51xM8U9qLCdOrjvFZSzKPcGsTxd1llIlUJwXRPGNYuSihRm/Y58A85NA84sA4/C1lS56IlWpYiYIZS2ixghwbKOkQObYQAwXJF5ADAdEVGNi/qf19Bu4ALZRQQxHVH6AHA4xYQYtUZE9mYAv0nW2eoEYSdmXhVEPc2mFU24zq68Cq2iaXdjHkRndVUi49vFrBLyW8XMTNBYJKJmlVwkokzPuEeZ9RvE+QD0gqiaiSiVuVsFEIa4WglEkajbKzyDuTYmqRTQyKiUXRWdQLh2bh065jxqc5k7OSdhMxPgmYbAJm5xmL+w3z+y2L+w2T85x8HRHNbMKxSVgpBGkfOzzACg8YhgeY3g6Gv4OT9PDSAW46ICxlsrFBMbdpNhHlOiJfejSbmO4spzspGJ/kjE9yqlVKNo+29q4y8CqVpHOojzPSZYqeGei5RXpcUZ13NBcdk8uO5qQm7iJGhYkeC5hxn3IZkh/n2F2IkloooU7P6rEj7XBoHHFoHiE4AyRPQA5E3MZmVJgYqYaS6EjpCCm1kQIdwZOQfOHaPQwQnD6iO2Dg9Om7A4xExYgV9FjBSA30dIgcaNcgGNAbDeiPeiihiNteD7BWI0bFEKsYYlUOZrkFg5Xp3Jjer8nnLkGr4+YCTtLHSftEtURUi4RFHz89wI7u4SS7xIVIUkmExYCgHOCXA+JGIWkU8na7klYiaWXSViZvVfJWpeoM6m64ZYlV8FtWmJ5ndGcJ4+OAduVRzizGixGTpc147dKsA4qlRzId4dcqfrFdTi7hJH285IggE4gKmaRUyRqdsrOoFiOqpct4E9FsAsYnMePjiGYVkE9HZJ1FOh6StA7x2CWeuJSriPFpSXWc4zQuSqwSzWOaiwntxYTxZcf4rCGaBBihjBoM0KMjotZifFoQzWKMykVOhwi+yoFxxJ6yx5HZozfsIboD9EhGjWXcscuwHKHHKnKoIEcaUigjBVsGUK8zATNVt82lQET2RZRQwUyvA6VYQ4pMlMhEDXVkT2Jg95FcATWU0BMVKzd+G0I5hYldWVjFCLN00fMRTmFxY3rVkC98/FbHLiWcXMBOenhZDyfax4l2cZJdRtE9nHiHMOuTFCJBdoSXHeIXPcJKIKlFilYmayTSViKbKORjhayRKCcKVaeRNSrFxKReulsWOM3pzgsmZynt2qeZ2ZSdQVL2CeJdgmSHKDsibxTysUZUymStTtzoBIWMnwm48SF2coCXHhHlAnmjUU00ilaknm73+USjmo9o1yHtcUI+d8mnNvnUIRs7xK1D0vlU64zmpCSehjiVjdc4FKuU8XlLdzmmOSkJxjaq10eyD1D8fUbZgGYTUR1nuK2Pmo4Y+CoHQ4F76j672j4H5hH9UR81kLESHSPTsBsHLR2ixCZKpKMlGkaioCfK1hpmGlZuYKY6Rrp9roQyeqJjJBpGrKInOmKoIrgSkicheQKSN9g2lzIdM92+Uwt72LlEtvApVwl+F6BlFlo+JJnH3JheVZTHCUE3xG0MgkolzAXc9BA72MFL93GTPUbBHm6yR5AeEBcCUT7AjQ+IywFpI5JUAmktEJd9kkqhHBvkjUTeimSNRFIJlJPtLS3mQ7LpkGrp0hwHW3s5G9IuXKr5kLjq48U7+NEOXrSDHdxh5NzGdW8Tpft40QFeeIAf7RHG+7j+HWz3NkG0hxftYNmv4wZ3yWqBopXojj3mlwXdeUW5SojGLvksIOkcwnpE1G5LQLXJSZcJ4Xjb9ElmAfkiYXIxYXzaELQest9DcvbQ/X2ssEfWDWlPMqJZiFmOEEOdQ1tkRz3gnrTLnrZPbzRg4AlIoYwWqZipjlU5KNmIgScjhQpqrGJkBmZqYiQaWqqhJzp6rKOGCkqkoMQqeqqjpxZaYqLFBkooI/oCgr8NjNTf5AqJip5qGImImfTI5g7dRcH4rCLoApREw5uG1JuKG7Orgua0IF9HJPOAoDaIK5WwknCTI4LsEC89wA73ceNdvHSfsBgQlRJ+3iepBOJyQFwKhHmPuOhRTnTyViUp++SNcM0GKs3MIp9opBON/NpaFrMhxWy41Q9jk7zVSRuZuBTIapm4lAkLETc5JM6OiLND4nyAHx/hhbuMnNtY9uv40Q5pfkReSTQzk9lJyPw8Z3lVsXowpjuvSaYBbmWRTFyKRUDQbD/1qlYp47OKdBnhtDbBJCCdxxSrhPq0oj5viWYxWqQwGO0ju3sM4x7peMj0JKNaJdi1gxRtAbBrHHFP3mdfPaRn9RFcCTlSUBINMzewMh09NRCvXUB/dMhgdIjiCeiegOZv/b7iSUiOgGj3EOyjrS0MBGRf2grF4SHC8IC+tU9/eIDoDlB8cdt38AVUT0B19xklffK5RzYLCBobM9HQQpVgEhC1Hv8ftpVzKcAO4OQAAAAASUVORK5CYII=)
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Abstract - Mixed Integer Programming (MIP) solvers have reached a remarkable efficiency for a wide range of optimization problems in recent years. There are however some classes of problems which “resist”. Among others, these are classes of vehicle routing, scheduling, network design problems. For many of them, there are no known compact MIP formulations with a strong linear relaxation after adding generic or even problem-specific cutting planes. Extended formulations with an exponential number of variables solved by branch-cut-and-price (BCP) algorithms may come to the rescue in this case. BCP algorithms are however competitive with modern MIP solvers only if the extended formulation has much stronger linear relaxation than known compact formulations. Non-robust cuts, i.e. cuts expressed in the space of extended variables, often help us to obtain such relaxation and help BCP algorithms to achieve state-of-the-art efficiency. In this tutorial, we will review some families of known non-robust cutting planes. We will also discuss issues which may arise while using non-robust cuts, including their impact on the solution time of the pricing problem, implementation difficulties, and generality/efficiency trade-off. Some recommendations on how to overcome these issues will be given.
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Decision rules for multi-stage adjustable robust optimization
Tutoriel de l'axe DOR (Décision et Optimisation Robuste) du GDR RO.
Ayse N. Arslan, INSA Rennes
Ayse-Nur.Arslan@insa-rennes.fr
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) 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Abstract - Multi-stage adjustable robust optimization, as a subclass of multi-stage optimization under uncertainty problems, constitutes a class of problems that are very difficult to solve in practice. Although, the exact solution of these problems under certain special cases may be possible, for the general case, there are no known exact solution algorithms. Instead, approximate solution methods have been developed, either restricting the functional form or the feasibility space of recourse actions, these are generally referred to as “decision rules“. In this talk, we will present a review of existing decision rule approximations including affine and extended affine decision rules, uncertainty set partitioning schemes and finite-adaptability. We will discuss the reformulations and solution algorithms that result from these approximations. We will point out existing challenges in practical use of these decision rules, and point out current and future research directions. When possible we will point out the connections to multi-stage stochastic programming literature.
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The Longest Processing Time rule for identical parallel machines revisited
Tutoriel de l'axe OPA (Ordonnancement, Planification et Applications) du GDR RO.
Federico Della Croce, Politecnico di Torino, Italy
federico.dellacroce@polito.it
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Y+LrTyYb6ZjwutX95beDdj4typ52LayLvpZk4m9OwNqVjuETLTUs2YtphRTRELHbXsDSk4GFFzPN7E2aSBj/PtnE+ZWOkVcDKh47Ork8u5Zj7Pt3AxqeZsTM67KRXH4woOHTq2HXp6NcU0FCSQGuZJmPc3xPjdJiXkManhXmTG+pIZ60tC4H0Sgx6QGPKIYO+v8X/0M4K9vyH82U0i/W4R7X+HqOd3iPC9RbDXNwQ9+pqoZ3dJCvIgKciD+ICHZMY8JznIE987/0qY9w0ifW7y4sFPCX78C3xv/g8ivX5BdqQHkoIYRozVbAzp2BszsGEXsjci53xKz65dxlafiJXOGhZbS1hsfYurJZ/ltrfM6wuYNxQyrc1jUpvPfGslS90CNm0Kdoe07AxpWe6TstLvDrGmO9wTz7CuhJaaFOzqQqbaanCYKljuFXHiMLoDoGENpw4Tp5PNvJtp59RhYntAxapVzoiujFF9BUsWKfM9IpZtClYHVFzbGRRyOqnmdLKJc6ee93PNvJ9r5pOrjQ/zLVfA38+5+/DFtJ6LaQMXU0aOx5vYtstZ7GpktrUGh74Mp6mC9T4x+8NK9oaUnDr0nE8ZeT/byvmUkZXeRo7Hm/jk6uBi1sjFtI7L2SbOJ1Ucjko5nzawZlcgK47jZdAdon1vEfXsNgkvHhIf8ICoZ3d4GerFy1Av4vzvkxrmTXKwB4Ge3xDk9S2Bnl8T/uwW8UGPiAt8SITvHSJ8bxMdcI8Y//uEP7lJtO9dMmOek5sYTG5iEI1v0yjLiCUx8DHBHt8Q4uk+od7fEut7m+BHP+Xpt/8XIQ//hfhn31Cc7Ee7KJt5cwN7400cOQzsDKhYs4hY7a5nqa2M1Y4SFptzWTBksaDPYUGfx5Qmm0ltLosdVayYBaxbZWwMqtkY1LBoFrNoFuHqFTLTUYejuZIRXQk9okxG9aVMtdYw1VLNilnM4Zie3SENB6M6zp2tnDtbORo3uGGbxaz0ybCp3mJXvWV9QM1ct5Blm4KNYS3XDkalnDu1HI2rOXfq+TDvHqE+udqvYP9n4OdOA+dTRo7GtKz3SXB1NlwpfLq5ks1+KbuDCnYHFZxNGq6Av59t5cLpdu1nUzreLeh5v2Dgct7I5byJk0kdE82V1GcGk/j8OnF+t4j2vUOY93USXjwkxu8uAfd/RqTPLVJCPIl6dvvqRPrdIdLvDqFPbxD69AaxLx4Q++IBYT43ifS7Q0LwY6L97xHx9BYpIV4UpIRSnhlLdU4idfkp1OWn8DLUG//7Pyfs6U0Sgz1JCPIgPvARIV7fEOzxC4Ie/Qz/u/9MqOcvSHpxi7fJPnTJCxhvrWeuW8xqn5y1XiFL7RUstb5lqTmX+aZ0XLoMFvRZOFTpTDblsNhZyapFyMagiq0xPZujepa/OGtXr5C5rgam22uZbq9lVF/KhKmCMWM5juZKVi0SjieM7A1r2R5QXUHfG9aybpWx1C1gzSpnQF1EjyiL1X4Fy1Y5qwMqN/D9EQknDiUHo3LOnU18crXwydXC58U2Prla+LjQwod5E5ezBt7NGLiYNnDuNHA2aeBgRM2WTc6aRcJcWy2jmiKmjBWsmoVs2aTsD6u4cJp4N93Mp4UO3s+2cjKhc4OfMfJ+0cTHpRY+Lrdz5DRiqnlJku/XpAXdJzfen3CvGzy58U88f/BzAh79kmf3fkrsi4e8jvEjKcSThKDHxAU+IjnUi8QQT6Ke3yXS7y7xQY9JCPYgzOcWoU9vEBf4kMQQT6L97pES4kVOQiDZ8S+ozklEUZWDsPg1VdkJ5CYGkRLsSVLIExJCvIkN9CDs2V0CPL7h+cNf8MLja148/iWhXt8S7XeHkKdf8zL8MQVJAVSnh9HRmM1cewOrXXW4WopYMOUyq33FQtMrXIY3OFSvmNRl4+qqYNUqYntMx+aYnuUhDSv9chbNIua6GpjpqLvKNcYMZVcj71RLNYtdjewNa9kZVLM3rGV/pIkTh4n9EbfxW+uTstInY0RXhkWay6JFyuaQlvUhDWuDaq7tDAo4cag4nlBxMa3j40IzHxea+bzYyidXMx/mTbyfM/JuRs/lrPGLyv8OfM0iYqGjHqepklFNEU5TJSu9Qtb7RGzbZZxM6DibNHA508L5lJE1i5D3M628X2jhZFbH++V2zlzt6GtfEvTg/yHc8yvSQr2J83tE4MPreFz/J57c/hd87v6EQM9vSAl/QnKYN8lhXrxJfEFGnD9pUc94GfGUpFAvEoI9iAm4T9izWwR7XyfkyQ2SQr1Ii3pGTmIQVdkJFKVF8DY1HElZJpKyTBrfplH8KpKsuADSo3yJC/Qgwu8+4b73CfK+id/Drwnw+Jbnj78mwOtbIp7fJy7YE3/Pbwh6cp20SB9ehXmT6n+XxowQhlWFzDWXMmPMZ1rzGpc+nQVDJhOqNKb0OSz1VrNqE7M2qGBlUM18v5ylvi/9u70WZ1sN48ZyzJIsJkwVTLVWX4Ff/bJN27QpOBjVceIwcTxhZHdIw0a/nBWzmCWzhLkuIVOttcx0NrJmV7FqV7IyoOLalr2R4wklxxNqzp06Psw382G+mU+uVj4uuN/fz5n+Qd0/LulrFjHz7XU4TZWMN5Uw01J9VdIPRzVcOE2cTRp4N93M5UwLpw49nxY6+OBq59NqF582+tDXpxHi8ROifW8S6/+ASJ97BD66gdf1f8Xz+r/w9O5PCXt2h4z4ABJDvYkP8iA1ypdXMc9JDntCTMBDop7fJ8b/IbEBD4kJeEh8kAdpUb68jvYjLcqX9Fh/StKjKU2PJichkPLMWITFr6nNS0Za/oayjBhK06Mpy4gh2v8+Id43CPK+QaDXdYK8bvDkzk/xuP0TAp/eIjLAg1DfB3jc/Rled39OoPdtEl548ibKl/wYH+QFMXQ3vMahe8usqYA5Yw4z+iymmrKZaylmqbeWZauIBbMQl1XKXJ+UxT7JfwHeUpNCvyLvKuOY66xne0DFulXGll15BfwHdf+Qxc91NjDXJWCuS8BUWx2rNiUrduUPpk3A0bic/REFJw4t7+eav/Twtqv3D/MtXM6avgDXce7UczZp5GhMw3qf5Ar4hK6UubZaNvul7A0p3WvR6WZOHXreTTdzPmXkcqaFjwsd/HFnkJ1xHcqyRGJ9vyXI4xfEB3sS6HUb3wff8OT2z3h6++e88LhBUthT0uMCSQx9SlyQF/HBXkT43SfQ6wYBHt8S6nOH1AhfMuMCyUuJoOh1DJU5yYjLcxCWviH/ZQTp0QHkJoVQmh5NbV4y6tp8OlW19GgbaJNXoazORV2bT15SMPEBDwjz/pYQz2+I9L1DoOfXPPzmf+Jx81944XWTAK9bPHv4DU8efcuzxzd5ev9bfO99w8sQHwqTQ8iPfUb1q0CM1an0y97gNBQyZShkQlfAbFslKxYBa/1SXBYhixbRFWxXr/AKuKO5kgF1IcNNxVd9fcOu4HBMz/aAit0hDUfjhqvv7QHVlcJn2upwtNQw29nIXJeAVZvy7y59d0jIiUPF/oiS4wntlUv/uNDK5azpR8D/Dl3PyYSOvSElq2bRlUMf0xYz317HZr+UzX4JO3b5j1z6D0r/ftvG2VQLlS/9CbjzP4n0uUmU/0MCvG7hcfuXeNz6GR43/pkQ71ukxwaQmRDEqxh/YgIfE/n8AaE+dwjwvE7I09ukxTynIjcZeXU+moZidMIymgSlKGoKEJRkIq3MRVFTiLy6AFVtAb1NjYx1a5no1THVZ8RqFCOryKL4VSTxAQ9JDvYkO9aXl8EPyYr1IT8pkJjnd/G58688f/gV/o++5tmDrwjwvs2LJ3d4eOunPL75c4K97xPqfZ/s+BDSI56RG++HoCAObUUyNmUBEyZ3H57vary65ODqamChs46lXsEVVOcXszZuLL96/uDYF7rd2ft6n9St8JGmK3Vv2d1p3apFwlxnAxOmKmY7G3H1ilmzq1jsk7HUL+faRn89x+NKjsbVnE7qroD/APkH4D+49LMpHWdT7h334YiaVbOQ6ebKqxncvQGSsjek4GhMw4XTyLuZZj7MtXI508zH+XaOxrTUpvkR++RrIr2/JdrvPgHet3lw86c8uv0LvO9/RbjffdJjn5MeF0BMsBeRLx4R6nePcP+HJEf5kvsqirrSTBSNRWiEpRillfTqxQx2aBhoV2MxSjEbpUxYTCxPWNiYHmBrZoBNZz+LI11MWQz0aOpR1eTRUJBKXX4KgqJXSMsy0VRnYWrIRVOTSWVmJGlhXjy78xNCn9wg4PHX+D74BfGhT4gLecrT+9/w4Pq/4vfwBkGe90gMfkas/2MSXzymLi8RYUE8ircJ9MnfMtspxtUjY7FbzHqfDFdnPXOt1ax0C1jtk+LqETLf2cB8dyPjxoor1c901LHaL+NgwsDOkJr1fhnbg2qOJtwK37ApWOuTstwrYqlXhKtHhKO5mpmOBhbNEjYG1CxZ5SzbFFzbtEs4mtBwPKHhYtq9t/7HsOUH2JezJi6cRk4dbnWfTOg4Hm9izSJkpqWC8aYiRtQFuDrr2BqQcjCm5HRSzYdZPZfTWj7Om3g/18rhhBHF22jCPH5KQpAnCYHexAZ4EOB5k4fX/4Un935JoPdt4oOfkBrlR6TfQ0Ke3iPk6T2iA7zISYlEUJGHWliBSdmARlqNXl5Ld7MMc5sKW08Tg2Y90yOdbC8Oc7rl5HJvjrMtJ2frkxzMD7I83MW8vYWxTjVDrXJmrc04LQaseiEWbQM9qlpUFZmUpoWRHPiQUI+vifS5RVrEky9z/m1igx7z4ultwvwf4/v4On4PrxP13IPwJ/cI975LyOMbJPl7UJkWTUNGHPL8FCZbJCxZNKz0qVkyy1jobMDVVc9Kr4DVXjErPV8McHMVdlkuzpbqqxFtxSpla0jN9rCWFaucNZuSdbuKjQG1e/Tqk7HQI8JlFuHqlTDdIWC2S4jLLGW5T8GyVcn6gIZrW4Nyjqf0HI2rrxz4fwf83YyBs0k9J19usByNadm2y1jsqvsC/C2Dihzm2qtYMtezMSDkcEzG+2kNl0413y228m6+jVFTFZkRD4nzv0NMoCfhvg8I8LjJs/tf8fTuL/B7+A3+j77lhedNXnje5Pmj6wR63Sb6hTc5L6OoL8lCXFVAXUkWkroitNJqTOpGulrkTA53szw7xNKMnd3VCS4PXVzszXKyNcn5zjSX29O8W5/ifNXB7rSdbaeN1dEeZvpMDLXK6VbW0qOqo0NWiawsk5rsBLJj/Ynzv09eYhBv4vxJi/QhOymI6MCHvHh2h4gXHsQGPyE++Akp4b6Eet0m4N7XxPg8IO7ZIzLDnlOSGEbFywha6wqZapOw1KdmvkvCfLcQV6+ApV4BS50NLHbUs9Beh7O5Cqskm7Gmkqt+vmgWsTWkZtkqZ6qtjvVBjTs3H1CzPqBhpV+ByyzB2V7PTKeA2S4RC2YZa3YNixY5S31K1u1arm0OyNgfV3M4pnInaNOGK8j/2bCdTrpVfTSm5XBUw5ZNynx7NVPGUkY1BdhlWUw3l7NsaWDNLuBgVMb5lJqzKS2/Xu1ha1hNbUYgMT5fEe17mwi/B4T73uf5o2/xufdLfO79Ev/H1wnwuIH/4+tu+B43iA7yIictiqrC19QUZVD0JpHKwteIagowqRoYtjSzMjPE6Y6LnSUHG/OjfHe2xm/PN/l4uMjRyhj7iyMcL41xuDDK1lQ/U2YD/UYJVr2IFkkFLeJybEYJPeoGWsXlKCqyqc5KIC8hiDex/hSlRfAm4QUFaeEUpIWTGvOcxOjnxEf4khrzgvSEELKTI4gPekLAw28J8bzFq/DnZEb6kxHhy9vkUGrfxKGresOoqZ7ZTjFLFinLVglrfRKWewTMt9Wy0FHP4pdt2UxbLYtmEdMddWwOqzmabMbVK2G+R8SBo5kDRzObQ1q3KbPKr34MjpZapjsELFrkbAw24TLLWOpTsGpTc21jQMbRZBP7w/Ir4JezRi5njVf9/HLWyPm0nrNJt7L3h1XsDSnZGZCz2H6c6hcAACAASURBVFWH01TGmLaQYVUeSz31bA2I2RoUcexwp3eXc618WOqlW5pL4vNvCfX4GSHe3xL5/BF+D7/B69ZPeXb/K54/+pZAr1v4P76O74OvCfC4SXyYD/mZcVQUpPE2M4Hsl5GU5qbQUJaFor6YYbOJk615jtbmWBixsOLoZ2t2iH3XGDuzQ0xZjPTphHSr6jBrG+mQVSEve4OwMA1ZaSa6ukJ6VHWYNQ0YGoswNBQhKEilNiuB2qwESl9FUZ2VQFV2AulRvtTkJVGSHkViiBdpsYGkJ4SSkRhKbmoUVQWvyE+LJinsGXFB3kT6PiQt0o/81DDyU0J4mxpC9ZtIeuTFTHeKWbYqWTJLWeoRsdIrYrGrkYWOeuba61jsEbpXnH1i5rob2Blr4nDKxJpN6Q5SBtRMdzQw09nIQq+Y+R4RLrOE2S4BjpY6nO2NuMwyVvpVV8CXrUqubQxI2R/XsDsk5dzZxMW0jncz+i8Zt4H3cwbezeg5dzZxPOFW9sGImt1BBatmAXNtVUzoihiQZzOkzGWtT8CWXcSWXcyxQ8vFbCufVy1Mdgh4HXqfcO9fEvT4Zzx/+At8H3yF162f4vvga4K8bxPkfZsXnjd5cufn+D34msQQH9LiXpCfGUPhmzhy0iIoy0umoTSTuuLXmI1SDlccbM0N4bS04OxtYdrSQreiHnnxG6RvXyHITUFR9BplcTrivBQUb1+jLc9CXZKJqbaAtsZiusQVdArLUJe+QZqfSl16LA2ZcdRlxFKSHEpNRiyFiUEUJgahKMuk6GUoL4M9SQv3JSMmkKyEELLigil8GUVFdjJlWUm8jnlBSoQvaTHPyUx8QUVOPIWpweTE+SIvScGqKmOuW8pir5zlXimLXe7LD/Md9QwoCxgzlLnj1c46nO21rA0qWbLJGNGXM9lai8ssYdEiZaFX/KWMNzLd0cBsl4Cptnpmu0QsW5UsWuQsW5Ws9KtYtMi5tjkoZ29Mxc6AmOMJFZezBj7MG7mYdsP/AfjZlJbjCS3H402cTOg4HNWwYRUz317NpKEEqzgDqziD5Z56Nvoa2BqQcDCm4XS2jc0JE1WZ4QQ/+hmRPjd5ducnPLn1Ex5f/2deeN4kwu8hIU/v4v/4OoFetwh+cofYQC9iXniSGu1PQXoMOS/DyEwIpvRNPEWvY2iWVrE2YWVhsBOLVkifrJbOhjI0RZk0vIqlJjkCcWY8qryX6ApS0RW+pKkglZbSN1gaSugXltPXWEJfYymd1fm0lmfTWp6NIisReWY8yuwkGl6GU/8yHO3bV9SlRqDIT0FbnE7D60gaMmKpSImgIDqAvKgACmIDeZsUSmVGHIK3aVRmJVDwMoyGojQK08JJi/RBXJpGbU4MpalBKIqT6FOUMN8tY6VPxUKngOUeIfNdDfSK39CvzGfcVMFMVz2uPjG7k3o2R7VMtzewbJWz1Cdjqq0OZ3s9I/pyptrqmGqruwI+1y1hqU+Byyy7gr7Up+Da1pCC/XEN+yNyzqaarsq5O2DR8W7GHaeeO/WcOtw9/Hi86csMLrgybf2STPpE6Sz31LFlbWRnQOLem8910qksxf/+Twn2/JZIv/v4PvgKn3u/JMDjBvHBT4gO8OD5o295dv8rgrxvE/L0LrGBXqRG+ZOVGEJ2UhDlWfFkJwTyOuIZyops5q2tzPe10KdupLm6EMHLSKqjAxAkhaFIj0X5OpqmrHhMecm0F77EXJ7BYG0BE6Jy5lT1LOvFLOvFzKsbmBCVM9JYzEh9Eb0lGXQWpNFXns1gXSFjwlKmFNUMNLxlXFqBtTYPdWYMmjdxKNPjkKfHoXiTgCwrAVFmLPXpUUjyklBXZCLMT0L0NpWmugIa8pIRFqbQLS+ntbGApqoMOoQFOJqFLPQome1sYLFXyIpVypixnFFDGXM9jSxaxeyMN3G50sPepJFFi5SNQQ1TbXUMaIoZM1Yy1FR6Vd5nuwQ42xuY73EDX7TIf3SubQ8rORjXfDFtf8/Kz53uu+Tu/fcPYUsTh6Majsa07A0pWe8TXZk2qziDfkkmK+YGdvoFHI0qOXG2sDFqIj/pBY++/h+EPL1HZIAXIc8eEOJzn6SwZySFPSPc9wGhPvcI9blH8JM7BD+5Q4TfQ7KSQil/E09FRizFqRFkRz8nNzqAbnElU21q2mqKkOem0ZAciTDaH21qBG05SXTmpdCZm0zv25eMVGXhaCjAKSjAJS1jQ1XHlqaeTXUdq/Jq1lW1rClqWJZWsCQpZ7b+LS5hCcviclZkVazIK5kTFjMrKmHHKGJFXYu9NB1r0StsxRnYyt5gr8xhoDYPa20exrcpqPPiaalMx1D+ClleEuriTDoaS9BVZNFcm4+jRcqwoZEeeRmD+nrGW4RMtdUx393AUp+E+R4BjtYqZrrrme6uZ21ExeFsK8sDCua6hcx1C5lsrWXUUMGYsZJhXRlTbXVMdzR86efiHyn7B3W7S/qAzH0Pe0zF5azpCvg/pmqnk03u49C5/1QwaeBkQsfuoIKl7nqmm8uxSd/QL3nDmrmBPZv7Yt/7hR66FMU8v/8zQp/dJzLAiwh/L6KDnpIY7kdq1HOSw32JDvAgxOceIT73iPB7SGyQNwmhPmQmhFCbm0JDbjL5cYEUxgdSnxFPa/VbehrLEabFUR4VhPRlNKa0SHqy4+nNTaS/MAVHdRbOulyma7OZrcthVVrMnqqSQ2U1R+pajtS1HCirOVTVcKCsZl9RxaGqmgNlFafaBk619RyqathTVLIlLeNY38CZSci+tpYNeTmb8gpWhaUsNhbjrMlnsi6fSVERY8JCzFUZtJen0VaRhjI7DmV2CorsZFR5KTRX5jCgqsPZqWLEJGK4WcxYm4SZTgFzXQ1MtVUz29PIZHs1Yy0VTHXWsjqi5nihg7UhFXPdQuZ7RCz0ipnrFjLRXM2gtoSJ5mp3nNrVyEKv9ErRq/1qdy83y3CZZVzbHpSzOSBlb1j+I+A/JGvnTj0nDi3HExpOHE2cThk4ndRzMKJmwyrC1VnDTGsZA4o3jGhy2baLORiScu40sjWiJ/nFbcJ9bpES9ZyowCeE+D4kMcKf13HBxL54TPQLd1wa7nuPSN/7hD29TdTzB6RF+lJbkIq0JJ3S5BAqUsOpSA5BkZdCe1Ueisx4hMnhyFKjac5KxpybSH9eAgOFyYyVpuGszGS+LpclQT5rordsy0s5UJRzJK/gWFn15VRypqnhQlvHRVM97w0CPhhFfDAK+NQs5FOzkPeGRt4bG/lgEvChWcjHVjEf2sS8N4n42CzlTC9kQ1LOTG0uzvpcXMoy5hSlDNS9oaf8Ja1vU2nKeYkyMwFhWhTqwjRMVbl0i8sYMgoYaRYy3iZkoVfCcp+UUUMZk201zHyBPmcRsjGi5nCmmd0JPdsjelascqY7GpjuaGCoqZSOxgzs6iLGjJVMtFSz0CtlyapksU/Ois0N3GWRsWCWce1wRMmquZ6NfuGPSvnfN2Pu7xOHlqMJDQcODYeTGnZG5CxbanG2FDOuz8MqSWVCn8umXcDWsIKTuTYGTNWEev2c5DAPXsUFEPj0NtFBnhS+jiH2xWOCn9wgJuABkX53iPG/S7TvLUI8f0m07w1ehXkgLExEXJBEaUIAtWmhlMc9x1CUSkdZOvKUUNQvQzGkR9GRFcdAQSLjJalMVrxmpjqTxfpcVgWFbIiK2JWWcqCo4FBZyYGqikN1NYdfnme6ei4MjbwzCrg0CXnfLOJDcyMfWxr53Crgc5uQT60C93ebkF93Svhdj5zf96r4Xbea7zoUnBka2ZSVsSIqYllWzLKylEVVGeP1WdgqMukoSkeZHociO5nG9HhUJRkoS1/TIyvC0dbAdGcjc91ilq0qHC21OFpqWLK6Lx9ujWg4nmlh36Fjb0LPmk3JVGstzrY65rvdK1CbshCbspBRfTnjxkpWbWpW7GpcfXKW+pUs9Stx9cmZN0u5tt0vYs1cz6ZNdNWvf4hY/zPww3E1OyNy9sZV7I+rWLLUMqrLZUCViUXykglDPpt2IbtjGpbsCoSF0byO8uBNoj/xoZ489/yWnJdhFGfGEvLkJuE+t4jzv09y0GNSgh8T//wusT43iPO5Tm70U4S5MQjeRFL/MpiaJH+EacEYCxNpKUhClxFJy5tounMT6CtIZrw0jenqTOZrs1lsyGNVUMi68C1bkhL25eUcqao41tRwoq3lVFvLaVMdZ011XOgbuDQKeG8S8rFFzMdWMd+1ifhVu/t8bhXwqaWR79qF/KZTzO+6Zfy+R84fepT8rlPJbzuUfG6TcmEUcKyvZ1NRxqLkLevqcpblxTgb87GWZaBJj0aTnYSm8BW1r6IR5yWiKk3Bpi5xg+lTMNslZqFXynyP5EvJbmR9UMnZXDs7Y1qWrBKWLNKr1edwUyn9igIG1EVXwB3N1e7kza5mwSJj0ar4MfA9u5S9QRl7I4of9ewfDNs/Aj+e0LA/pnJn7w4ty+Z6xnT52BWZ9ApfMqbLZ9nSwJHTRLc8l9fh90mP9uZVjC9hfvcIenaHgtfRpMcGEPbkJokBD3kZ6EFG+BMywrzJCvMiL+IJWUGPqEx6gTgzCkFaMJLXIdTF+6LKCMeUG0NLdjQdOTGY8+MZLE1jtPw1k5XpLNRm46rPYak+j9XGAtYEhWyJitiVlXGgqOBEU8O5rp4LfQMX+gbeGRp/BPtzm4xfdcj4fbeCP/S6z++6Zfy2S/p30L0K/mhW8sdeJX/olvOnbgV/7FHw+24Fv+2W86FdxI6qlCVRDquyQjbU5YxWZ9BVkIQiNQx9QQry3CQaM6OR5SegLk1lxFjH7ngrixYlC72yL9DFLFvlbAyqOJlpZXtUy3K/jOU+GY7maiZMVYzqyxlQFzGoKcamLGRIW8K4sZKVL6qeN0tx9clZtCpYsMhYsMi4tmuXsD8o43BcxblTx8W0jtNJLaeT2qvR7GyqiROHhuMJNccODadTTRyMqVjsqcXZXMKAMpv2+mSGmwpYtgrZHG2i/JU/SUG3SQh6QHywJ7GBHsSHepOXFknci8fE+90j2f8+GSFevAnzJjf8CcXRvpRE+VAR44sgJRjp63CkLwNRvQ5GmvQc7etg2nKi6MyOoq8gjv7COByVr5muyWS6KgNXXTauumwW67JZachjQ1jItriIfWkpR8oKTjXVXOjqudDV805Xzzt9A5eGRj6ahHxuFfPrDjm/6XQD/d6i4s8WFd9bVPzJrOB7i5LvLcq/v5uV/KVXzl965HzfI+PPvXL+ZJbz+x4JH1rrOFAXs6ssYlddwrK0kLHqDNpzYtBmRGIoTEaZl4Q8NwlJbhIdoiIWLSpWbVqc7UJcZvmXlEzB1rCWfYeBVbvcvTs3S6723KP6cvoVBYwbKxnSljCiK2OqtYZ5s4TpHhGzZgkuq4L5PhlzFikLVjnXDocV7A1K2R+RcTal5WLaDf3c2XR1zqa0nDjUHI+rOHNoOJvSsjMkY7a9kgljEVZ5Fj3idMaMJeyONzHWWsur4Lukhj4g9sU9UiJ8SArzITXSj/Rof2Ke3yct2IvsiKcUxvhREOFDfqg3ZVE+VEU/ozHhBfLUUHSZ0ejSwzFlhtGcGUZbVjg9eTH05kZjK4zDXhDLRHkK09Wvma/JwFX3hqX6LJbqs1lrzGVLVMCetIhDeSknygrOtVVc6uu4NNRxqa/jvaGej6ZGPrcI+VW7mN92yfl9j4I/9sj53qzgL30q/tKn4s8WJf9mVfNvVjV/6VPyvVnB971y/r1Xxr/1yvhLr4Tvu0X8sUvIH7qE/KFHzO+6hXxsruZYU8KhtoxFQQ6TNRm0ZEZgyIrGVJiCKicJ9dvXtNQWMNxUw7JVzWyXhKU+JRuDTawPaDhwtLA/YWLZKmV9QMXmoIZFs4SFHhEjujLsqreMGSoYbiplQF2Es60OR1sdo221TPeKme+XM2uRMmORMG+Vu0v6Sk8t24PiL7D1XM7+cLPlx8BPJ9ScfoG+OyxnqrmMAU0+ffJsLLIcRgxlbI5oaRZk8Tr8IalhHkT53yU53IeUCD9SI/xICHxMcqAHr0K9yYv2pTjOj/wwLwpCPKiI8qE22pfGGD8UKSGYMmNozYykNT2UruwozPlxWPJisebHMlAYx9DbOMZKEnFWvcJVn8lS/RtWGrNZF+SwKcxjR1LIkaKEY1UZZ5oKLvU1fGyu54OpnvfGOj41N/Bdm5BftYv4TaeEP/TI+ZNZ5VZvn4q/9mv5934N/2ZV8zdbE3+zNfFXm5Z/61PxF7OCv1rk/K3P/fxLj4Q/dYn4c6+Ef7PI+LNZyh+6hHzXVs+xtpRtWQHr0kLmhXlYS1LQZUShz03GWJyJsSwbu6oKl1nJ1pCRNXsTa3Yt6wNNnM50cTrTyZrdfZ15ySLF1StmrkvAmKGCMUMFQ9oSxgwVDGqKWbHKcbTWMdJSw2SXgFmzlFmL+7hsSq7tD8pY6qpmo1/kvjr8wyXF/9LD3f8uPRmVczquYn9IzpjuLX2yLCzyHNobXzPeUs2QsYrCRD/Swh6RGu5NXOAjEsOekhLhR2zAY5IDPXkZ5MnrMC/exj/nbawv2UGPeBvhTUWUDxWhntRH+CBPeIHhdSTtmTG0vQ6n6000trdJ2AsSGHqbxHBREiPFiTjKU5mvz2K5IYvVxmw2hHlsifLZlRRyqCjhVFXOuaaSS10Nn0wNfG5u5HNzI59MDfyqVchv2sX8tkPC77tk/KlXwfdmFf/ep+Vv1qYfnf9l0/O/7Qb+t93A/7Lp+Q+rlv/oV/M3q4q/WpX89cvzL2YZf+6V8uceKX/ulfKHXikfW+s51pZxqCllX1vBqqyEgbLXdBam0l6UQXtpNoOqapxtYtZsOraGjKwPNLE1bORwsp298RbW7BpW+xXMdwuvnhOmKiZMVQxqihnRlTHcVOp27u31TLU34uwUMN0lZK5XwtIX83Ztzy5lrbeeLbv4R8nafwt8XMXpqJzTMRW7dinjurdY5Tn0iN7QLshk1FRNXVYYsb7XeRXuTWrEU+KCPEgO9yU1yp+Y5494Hf6MjHAfcqKeURDnS0boQ3JCH1Mc6U1puCflIR7UhnshjfNH9zKMlteRtL2OpDc7noHClwy+TWG4JJXR0jTGy9KYqsrE1ZjDamMWG4IstsS57EoLOJC95UhZzKmqlDN1GR901fyqpYFftwv4dZuAX7U28pt2Ib/vkvCHbil/7JHxvVnBny1K/tbfxH/0634E/D/6df8F+t9sWv7ar+Hf+9X8tV/D36xq/tKr4E9dUv7UJeXPPXL+ZFHxO7OS77okvG+p5URbxoWpnj1dLZMNhfSVZjJYX8KgsorJFhHLfVo2BgxsDZk4cLRzNNXB1rCeVZuaJYucJYuEdbuK2c7GqzHsB6U7mquZ7Wxkqq2e6S4hM90inJ2CL8CVzPaI3T18xy5hf1Rx5dB/GM3+s0s/G1NyMaHkdEzFZp+QmZZyhtSFWGS5dEty6ZW/JSvyEWFevyThxUOSQ72IC/TkdWwQLyP9SHjhQVZMAFlRfuREPyMr2ptXwffJDH5AfugjSsI9qQr3pi7cG2nsc7TJwTQlBtGeHkNffjLW/5eu9/qP8zzTNPkHzHT3jLu33SNZgZQYQBKZBEkQRAbBBIAgciJyToVcVUBlVAGVgMoFVEZmApiTmEmZkm1lUaKYwCAmybbcHvfs7tG1BwWhrd2dg/tX4fT67ud93nR/lQdw1ebiqc1hsqmQ2fYS5gRlHO08yMnOYs52l3B+Cfi1gVpuyRq4JWvgt7JGPlG386W+m69G+/hqpI8vjb18PSrkW+sAd63/OWY/cMpZHFOx6FDx0CrnoVXOI7uSx85Bno1reO7R8sKj5blXyxPfEE98wzz2DvFwXMVDp4KHDgX3bTLumSV8Zx7gG5uMb8YG+c6l4q5DwtdmIZ+PCvnDiJjruj6OipqZ7GnAM9CMX93JCbuSD/x6zrk1XJ7QcW16hIt+Dee9g5xyBuM+TjkHODzSRUDdxISmebljnzN0MKsXMDncxiFTD8dsYg6ZejlmEzNvFxMYbmPFZbeYD1wibk7K+XBaxa0pJR/NafhoTs3tWTW3Zwe5Na3kxoSc634pt6aUXJ+QsTDayhF9EwFVLVZRGZb+KvS9BylJjyQx8l1SNq1mV2womUmbKMlK5kDqFvYnbaIsI4HclBiK0rdSuHMThSmRlCSFU5MaTfPOzbSlbaYrbTPCPVuR7t+BLHM7xqJdjNfk4KzMZqxqP+7q/Uw2FnCorZjDglLmO8s40VHC6a5SzvdWcklcw9WBem5KG7mtbOP3agGf63r4erSfO6YBvjEPcMc0wLdmCfesMh7YFTywK3hkV7JoV/HEoeKxTcEjq5xFm4LHdiXPxtS89Gj5wafnB7+B1z49L/x6Xgb0vPDreOoZ5vG4mqfjar53D/FkbJAHFinfOhTcdQ9x3z3Ew/FBHo6ruO9U8rVFxmdWGdeHezkha2ZK1oyp+yAzul6uTJk479NxddbMpUkj57wazvs0nHUFLyycGpMwZ+jAq2oIbpfq2pnRtTNn6GDO0MGUTsAhs4hjdglzpj4WnDKO2gZwyhtYcdbWxXlHDzcngukLH04p+XhOs3S1V83t6UFuTSq45pdy2SdbSlCQckhXj0tSjFNcgqmnCLukGm1PGbkpYSRErCQpei1pW9aTlbSJoj07OJASQ3ZKDPm74ti9PYx9caFkx4eRtyOUssQI6lKiaUndRFvqJrrTYxDt20b//lgkWdvRF+/EWZONsyqLsYp9eKv3M9WUx6HWIo61lXD85868s5wLfdVcFtdzbaCJm7IWfq/p4lNtL18YRNwxSfjWIuM7m4LvbAruWRTctyp4aFPyyKbikU3FE9sgT2xKHtsUPLYpeGJX8sw5yAvXEK+9Ov4YMPKj38APPj2vlvTSq+OlV8eLJfe/8ul54dHyxDnIo3E1D33DPPIO89gzHHwwXEPctSv42i7jD2YRt0Z6mZbUMdxwAJekgUsTRq7MWLk8a+HCpJELE1rOeQc5NSbljEu2fF9sztjJjF7AlLaNOWMnc8ZOjpp7OWzp46h9gMO2fqZGejjmlDJnFmKX1QWBHx9p5UZAxm+nVdyaVPDb6UFuzwT1c+bKVZ+EqwEF1wIqrk8oOGERYOk+wEjHAUa7C7H0VzAoKCQrPoSU6NWkx4ayJy6c7JQYCnbHUbhnB0V748lJ28ru7WGkRL/Pni1ryIndQGlCOLXJUTQlR9GWGk337i2IM2IRZWxlIHMbusI0rOUZWMv34azYR6A+l9nWIo60lSwBL+NMbyXn+6q5JK7jurSJW/JWPhrs4JPhHj7V9vKZro+vRvr5xiwNwrYruW9VcM8i575FwQOLgodWJYuW/4T92KbgqUPF92NqXrqH+cGnX4b92vNLyC+9Ol77DfwQMAYfBG/wYXge0PN0UsezgI5nAS3f+7U88w3zYFzJPbeKr5xSPrEPcFTZhKwsnTFRDWfGB7l52M6VGTMXJw1cnNTxwcQQ573KYKe+tBc+rWtnWtfOlLaNWUMHM3pB8BCEpY8jdjGHrEJmTT0csYuZ0AtwKuqCXfqhoVqu+SR8NKtedvnPwD+cCl7Sv+ob4LJPyhWfnGsBOWedPdj78jB35zHSXcBwRz7Cmn3s2fY+O7eEkJEYTXZKDDlpW8nftZ3ifQmUZCSyP3kzaVvWkxixkl2b3yc3biMHkyKpTY6mMSmS1uQoOtM307s7hp49m+nP2MZwfgqjpbsxle7GUb6XQEMuc63FHBWUMi8o42T3Qc4Jq7koquXKQAM3Fa38VtnOx+pOPtX2LkP/wiDi69EB7lrl3LMruWeR851ZxndmGffNcu6b5TwyK1i0ylm0ypeBPx/X8MozzGuvjtdeHa/cwzwf1/BsXMPTMTXfuzS88GiXgb/2G3jtN/DjhJHX00Zezhh4MaXnxYSOFwEtT/1D3B9XcN+t5M6YlC/GJNx0yhDlxiMr20VA2c61GQs3Dlm5PGXkyoyBy1PDXPQPcnpcyrxVuHzgYc7Yufx9criVyaEWZo2dzJl6OGLp45hNzFGrCK+6GZeygRWXXH0c0dZx1Svm47lBbk5IuTUp47dLmS8fTsm5EZBwxSvmklfCFb+CD9wDnLJ1MiYuxNKTz+gS8L7qvezbvob0LSFkJkazP3kz+5M3k5O2lYLdcRTsjiMzMZqk6DUkR73HzuhV5MVt5GByFFUJETQkhNOSFElLUgQdqZF07YqmP2MrmtwkDEU7MRanB4HXB4Ef6yjjRFc5p3srOd1TwbmeSj4Q1XJN0shNWQu3VQL+MNTNH4a6fwF9uaybZdw1SblrknLPFIT+0Cxn0SJj0SrlsU3GM6eS5+ODvHRreOUZ4qVbwzOnkicOOYsOOY/sMhYdCp57NLz0DfPSN8wrv5bXAR0/TOj5YcrA6xk9r6Z1vJgc5vuJIZ4FhnjkUfDAo+DOWD+f20V8PqHF1pxPY2o4Y33VnPcMcX16lEuTBi5NaLnoH+ScV8bpcSkLNhFHzb0cGun6xfGmGb2AGb2AuZEu5ka7OGYTctzZz4yxA5eyDreqnhUXnF2cs3dyc0LKhz8vrEzJ+HBKvgz85oSUa/5+rgbkXJ8c5AN3P6dsnYz3F2ETFmHqKcQkPMhAw372bV/Dzi0h7N0Ryf7kzWSnxJC7cxu5O7eRlbQpWM43ryMl+v1lh5ckhFOxI4y6hHCaEsJpSQxHkBJBx85IRHtiGMpPRleQir4wbbmkzzQXclRQykLHQY53lnK8o5SzPRVcFNZwWVzPDWkzHyra+Egl4COVgN+pO/lM18eXRjF3TBLuWuV/V9LlPLAouGeS8cAk46FZwqJVwhO7nKcOBU8dCp6PDy5JxTOnkqdOJYtOOY+dCp6OK3nmHlyG/sqvXdbrCR2vp3T8uAT9+eQwzyaHeOwf5JFXyX2XlK8cYj71DHJa04Fg1yYMDXmctsm5hFinJgAAIABJREFUPj3KtZkRLk9q+SCg4rxPznmvkhOOfo6YepjRB3fW5oydy9ulP59rOzzazTGrkAW7GN9gI1ZxOd7BRlacd/Rw3tHNh1OKpXKu4LfTymV9OKXg5oSMa34JV/yyZYeftHbgGijC0luArj2HcUU9yrZ89sauJi1mHXt3RJCVtGkZemZiNDu3Bve8fy7paVGrOBC7nuL4MKoTI2lMjlp2eFtyOO2p4Qj3bEZbkIquIBVjcTrjVZn4ag8w0ZDLXEshR1qLOdJayIKghPO9VXwgquXqQAPXJU1cG2jkprSZD+WtfDzYsTyO3zFJ+MYi47ulkn7fquC+Wc7dEQn3R6Q8NElZtMp46lDy1KHiiV3BU4eSZ04Vz8fVvHQN8dI9xNNxNc9cGp67h3jh1fLSq+WVX8crn47Xfj0/BAy8Duh4FRjmh0kdL6d0PJ/U8mRiiEXfII+8KhbdSu46ZXzikHHTKkF6IIGBghSO6Xq54FJz0T/MxcAgHwSUnHVJlg8+/FzKf3b1z0ecDo92c9TcwzFzD8dtQo5ZenFKKrCJyvCq6lnxwbiIM9bOpTAd2fIY/ve6OSHnml/CBx4JF90SLnkGWDC14RQVYBcWoW7OZExRj7TpAHu3rWZ37MZfwM5K2kRmYjSpMSFB2FGr2RH6Numb3iN7WwiFcRupjA+jKTmK1uQoWpLCaUsOoy0llL5dm1DnJDKUm4yxeCfOin14qvfjrzvAVH0uc00FHG4p4HhH6d8Bb+S6pIkr4npuSJq4JWv5hcO/Hh3ga5OEOyMDfDMywN1RKXdHJNzRi7mr7+eBScqiTc5Th2oJuHJpTA8+AM+cg3w/puapU82zMQ3fu4Z47h7muTvYvL3y6ZfH8x8CBn706/khoOflpIGX00aeTGh55FWz6FXzxKPm4ZiKT21Sfj+mxFSdiTArDl9/PaesUs6OKzjjknJmvJ8FWx/HLH0cMfUsu/nvm7WfT8McM/cwb+nh9Fg/R0Y7GZNU4FHU4FXWBrNWz9q6grGTfik3J+S/gH1rUsGNQHAp9bIv6PDrE0qOm4PAHeISdO052AaqENdlkrF9LdnJ0eSlx7I/efPy594dEezcuoHUmBCSl0r67pjVZG8LIT92PeVxG2lIjFhyePiyw3vSo5Bnbkd9IAFDURr2g3twVWbiqc4iUJPNTEMuh5rzWRCUcLankovCGq7013N9oJGr/Q2/cPgnwz18puvjC4Mo6HRjP18bxHxj7OcbQz9favu4oxVxb2SAhxbpcqe+aJXzwCzloVnKI4ssKKucRzYFi3Yljx0qnjgHlxq4oV907X/0G/mTf4QfA0ZeTY/yes7M0ykji34tj73DPHEP8WhskC/tCn5nl+NtK2IgO57xnkpOjIo5MybnnEfGOZeEE3Yh81bh0kHFzuWm7ecyfszSt6Qe5i3dnHKKmdG1MC6twD9Yj1tezYrzzh4ujvdxa1LOzQk5v51WBeffM8H59y+Ae6Vc8Sm4NiHniKERU2cWpq5crH0ljMvrUDTnkpscSkH6Vgp2bSczIYq89FiyU2LISIgiIyGK1C0hJG9eQ+qm99kZtZKsLWsoiF1PVUI4DUmRNCVG0JIUjiAlks60SHrTo5EtAR8pScdevhdH+V7GyvfirsxgojabmYYcjrYWcrq7nHN9VVwS13Glv4Er/Q1cX3L7LVnLMvTP9UK+NIr5ZmSArw0ivtaL+Fon4ouhXr4e6uOuXsS9kf5lwA9NUr4zirk/OsCiRcaTpfn5/xv4z3o6pua5e5iXXh0/eA386DXy0mvk5cQor2YsPJ828SRg4IlXx2P3MA/sKr6wyPjErmCmqxxpTiJ+UR3nnEoueFRc9Cs555Zw3NbLUUsPR0xdvyjhfw876PIg8OO2XtzyamyiEiaHGvEP1rHiqLGeC65ufjsj40ZggA+ngnltwTE8OC+/7g8mI172SLnkkXHR3c+0pgZzVzbW3gIsfcW4ZHXo2oup2hVDxa5tFKdt4UBCFDmpW8lO3UZWyhb2JkSStnUd8VHvkhD+G3ZFvcuBbWsp2rGBisRw6lKCa+mtSVF0pmyie2dweibN2oEyOwFDSTr2ykzMZbtwVuzDVZnJRH0O3uosArVZHBOUcKaviov9dVxVtHBd0cI1aRPXJE1clzVzWyngU20vXxpFQWePDPCNsZ87ejF39GK+1S3J2M99k2QZ+KJZxoORAR6NSnhslvHUquCpTfkLyD+D/lnPxjVB6B49LzxGXnhHeOEb5XlglO/9Izz1GXniNfDIpeWeY5AvTVK+tCk5KWlkqGwPHnEdl3zDnPepOedVcMYl4bi9lwV7D/O2Ho5Zezhq6eawqZMj5u7lSwnHLH3Mm0WccUg5NtKDV1aHW1LFhKoB10AFKw7razlpaeHm5AC3piTcnJAuT81uTsiXk42veqVc9Su46ldyYVzMzFAtTnEh4/2l2ESleBQNjHSWUbd3K+U7YyjfHUte8mayk2PITI4hM2ULe+LDSdu6jqRNK0mJeJt90SvJiw2haMcGyhPCqE2OoCE5guakCATJUXSmbkK4dyvyA4koc5LQFqVjKd+HpXwPY1UZuKoy8dVm46nOwl+TxZH2Ek52V3JWWMtVWQu3VAJuKtq4KWvjlryd26pOPh3u4wu9mM91Ir7S9fONQcI3Bgl3jVLuj8h4MCLnu5EBvjMN/KKEL5qDemxaklnGY4fqF+5+tjQ3//n/711DvPQaeOkd4aVvlJe+UV4ETDz3j/LUa+CxR8+iW8e9MQ13zDK+sMi4PNSNviKTcWENVwI6zvvUnPXIOeuWcMopZMHRvQS8myPmLo6Yuzhm7flP2FYhJ20STlklTGva8EjrCCgbCCgb8EirWXHW2cGCqYkbE/18OC3lRmCAa75+bgSky43cdb+ca0vAb0ypueqXMTNUi7U3F6e4ZCmWoh1TdzkV6dGUpG2iOG0zmXFh7N0Ryb7ETezeEQzISdr0PolR75IW9Q77Y96nIG4DJfEbKU8IozopnLrEMBoTw2hNiqAjOZre3VuRZSciz05kMC8FXdFOTGV7cFZl4KrKYLwyA2/Vfqbrc5lvL+NkZwVne2u4KmnmhryNG/Ig8JvSVj5UCPjDUC+fa8V8tgxcyjcGCd+NyLlvUvLArOK+Sc59i4yHVgUPrQoWLQoeW5U8tihYNMt5NCoLamk59rFDzROnmmfjQ3zvGuaJM/j7hUfHa/8or/0mXi3pRSCoJ0vAH3v0PHQNc9eu4nOzlNtmKea6XBw9lVydNPDBxBCnXVJOOkScsPf+f4AftXQzb/vPcr5gE3HaLmV+RIhHWodHWsfMUBs+eR1+xd+V9FtTEm5ODnAjIOG6P5gjHnS3jGs+GVc8Ei6MibnslXPFJ2VKXY21Jwe7sIixgXJmdZ3YRTXU7dtKYUoUWXGh7N66nn0J0eyOD14LTty0hoSIlSRGvkN69Epytq6laEcoZfGhlCeEUZMUTn1SOA1J4bQkR9KRGk13egwDmfFIsxJQ5iSjyUvFULQTS9keHOX7sJXuxlu9n0NNBSy0l3Gio4JzPTVcHWjmmrR12d03Blq5KW3jY00Pn+nEfGEY4JsRGffMSu6ZVTywDPLQOshDq5qHNhWLDjWPHWoW7YM8tqlYtASXXRfNCh6Z5DwyyXloVvLQGgT+dGyIJ04Njx1qno0P88Kj57V/hB8nzPw4YeF1wMzrgHkZ+FOvgUW3LljWPToejg/zlU3JRxYZbsFBLIJSTjsVnPepOeOWcdIp4qSj7//X4fO2Xo7bxSzYRCzYRZy0DTA33MV4fzUBZROzw224BqqCwA/ra7nk6eX2rJxrfhE3Aj9DlywBl3PVK+XSuJgPXBIue+VcGBfhkx/E1JWNrbcAh/gg01oB45IGOgvTyEuOYG9sCJnxEWSnbmFXXASpWzeSGL2ahMhVpEavYl/MavK3hVCyI5SDCaFUJIRRmxQs6Y0pEbSmRiHYuYmOnZsRZexAlp2MKi8NTV4q2vw0Rop3YSndg7k4HW9NNnNNhRxrK2W+vYxTHZVcEjVyQ9bOLUUHHyo6uCFt47qklduqLj7VifnaJOeeTc3imJYnYzqejOl46lzSuJanrmGejg/zxDnEY4eaR2ZlcNnVrGBx6fsDi5KHVuUy5Kdjw3zv0vLjhJm/zDr46yEnP804+OOUjR+WoL+cMP8C+GOPnkee4Ocd5yC3TVICPdVYO8o4aZNxzjvIaZeUEw4hx209/1vgP983W7CLmDcJmVS14ZXVMzPUzsxQC35FPTNDLayY01Zz1tkRTEL0C7nmE3PN17/0toDgvPyqV8pFp5DLHimXvTIuuvqZUFVi68vD3JWLTVTKtFaAU1yLoCCF7IRQ9m5fz4GUzWQkbiJtWygJ0WuJj1hFUuQqdsWs5kBsCMWxGyiNW3J3YgS1iRHUJYXTmBJB885o2tM30ZYaTdfubfRnJSDNTkKZk8xwwU6MJXsYLdmNpXQvrqpsphryOSY4yImeak731nBe1MBVWRs35O1cl7cHb5xI2/hQ2ckfhkVB4M4hHrsNPHMbeeYy8NwzwiufmVcTFr73GHnmNvC928izcR2PbGoWrWoeW9UsWtQsWgZ5ZFfzyKbhiXM42Jh5jLz0jvLTjIN/nx3jL7NO/n1unL/MjfGnaTs/Tlp5PWlZAm5k0a3jkUvLQ7eWRy4t345r+L1Niau9DFtXOZf9Ws56VJwcG+DUmJjjth6OO4NN2xFzJ8esPSzY+zhm7eG4XcxJ5wDzNiEzwx24+mvxKxqZUrcyoWpcAt7MiiOGOo6bm7kx0c9Vn5Br/n6u+we47v/PefklVz+nLV2cc4i4ON7PGXs3roFiHKICrL0FGAS5uOX1OPvr6ChMI2vHBrISwjiQGsPuHRHLd77jw1eSEvke+7ato2BHKAfjw6mID6ciIYzqxAhqksKpTQ6nISWCprRImtOiEKRvoXvPdrr3xCLcF4csOwlNfjqG4t2MluzFXLoP28EMnBWZTDUXc7SzkqMdlcx3VnG6r54PpG1cU3ZxXdXNTWU3H6n7+EQ3wJejCh44dTzxjPLUM8ozj4nnPguv/FZeBCx87xvlud/EywkLL30mXrhHeOEe4fm4gWcOLY+tGh5ZNTxxaHnuMvLKa+K1z8wfJ2z8++w4f5kZ409TDn6aCbr8zzMO/jht44dpG6+nrHzvH10G/nNJf+DV8YlzkPG2EkZaCrk+ZeRiQMMJZz8nnSKO2/83wC09LFhFLNhEHB7tZlLdhlfaQEDVxLSmjcnBJnzy4MtyVsyPNvKBu4erPiFXvH1L47dkGfg1n4Tzjj5OmTs5Y+vljL2PI4YWRjuyMHVlo2vNRFW/l3FJLW5ZE70H95CXGkXBnm3kpG9hV1w48VFB4InhK9kZ/T7ZcRspSYygMjGSysRIqhPCqfkZeFIYdUlhNKRE0JASQXPaZrr2xCHKTGAgOwlFTiqq3DSGC9IZKdmLqXQvI0W7GS3djb06C1dtDp76PKaaiznSVcWZgSauqLq4PtTHTU0vH2vFfD4i5yuTkocuA8/8Zr73mXnht/IyYONVwM7LCSsvJiy8nrLxw7Sd1wELP07a+OOkjR8DVl66R3jq0PLYPswL9wg/+C3L+mnayd8Oe/iPI17+dsjDXw+5+Muskz/POIIun7bxatLCM98Ij1xaHowN8cA1zCOXlrvjGj4b1zDb34imZj9nx1Wc86pYsIs44RBx0in83zi8d7lpm9a341M04Zc3MaFqXgYeUDYwOdjAilltFdcCYq56+7jqEy536cExXMZlt5iztp6g7EKOj3YyN1SPqSMLoyATfVsWwy37ccvq8SpakNXnULxnC0UZ29m9I4zEzWuJj1pDXNj7xIetZGfU+2THbqAkIZzK+Agq4yP+E3hiODVJodQmhVKfFEZ9UhiNKdG0p2+la9d2evfGIclKRJadiConFUPxHkaKd6POTkSaGctgXhK6ojQMJelYKzIYrz2Ar6mAOUE5C321nBbWc13ewScGCZ/pJXxjVbPoMvLEM8Izr4nvvWa+95p54jXyzD/CDzN2/nxonD/NOPnjlJ2fpp38NO3kB7+F5y4jr30W/jIzxt8Oe/jLzBh/nnLwt0Nu/q/5AP/nMT//ccTL/zrq5W9H3Pxlbow/T9v5YcrKj9M2fpix8XLSzFOfgYduLQ9dw3w7puFz1xAnNd0M1x1g3tTPGbeSBYeYEw4hJxx9HB/7JfATThHHHaLlFbjJ4Vbc0noCimYmVM1MqVuZUjczrW4ONm2OvgOcc3Rw3S/mskfEFY+YS24xV31SLnsGOGXt5qihjROWbk5ae5nTtzGlrscuLGBEkIW1txCHqAyvogGvohmtoJTyfdvJTdtMasw6dkS8R3zkGnaEryYx/H3So9eQvT2UkvhwKuNDqUoIpzohjOrEoGqSQqlODKU6YSPVCRupTQynLjGCuvhwGhMiaU/dTPeubQj3xCHNTEKemYxkXwIDmYmo8tIZzNuJ4kAyA5k7EO7aSu+ubfRnJqAu3IOlPIeJxnLO9HdwXdPP59Yh7jj03HXqeOg2sOjWs+jRc985xP2xYV5O2fj3o15+OuLhTzNj/PWQm7/OufnjpIPXPjM/Tdn52xEX/3HUw09zY/x0aJz/mPfzt+MT/Pt8gD8d9vLDrItXs+M8n7az6DNyzzXMd64h7rmHue/R851Lx7djWr51DnFnbJhPXcOc0QkZaS7g2IiQcx4Vx50ijjv7WLD3cMzWtQx83hYM9Vuwi1iwiTlq7mVyuA23vJGAuo2AuoWAuhW/soEpTQv2vhJW2LuzOTnayjXPAFe9QV10ibkw3s9pWx+H9G1MqRs5YhRwxNRFQNPEuKQCS28ho4JsTB25OEVlOISVOPtrMQurqdq7nYxtG9m5aR1JketIilrPjrA1xIeuIjXyfTK3bQzukCWFUpMURk1SGNWJG4OgE0OpjN+wrPK4EMq3h1AZt4Hq+DBq48Op3xFJU0I0rYkx9KYnoszZi2T/bqQH9qLM3YfswC4Eaduoj4+ifFsYJTGhlG+PpCl5O4KUBPozd2OtLmWhX8AHg0JuG6TccQ5xd3yIu2ODfG1W8OWokmd+C3865OaPcy5+OuThf81P8D+P+Php1sUPE1Z+mrbw18N2/nLYyU+Hx/jLgo+/nprij8cn+P6whwcTdr5ym/m93cB1vYQLg51cGe7m0lAHl9SdXNeKuD2q5BOrlk+tg/zeouRj5xCnhnvRVGUxp+3k9LiMBaeQhbE+5h09HDZ1BpdXzV3M24KuPmoWMm/tZ0bfiV/dikfVgn+ojYkl+QYbCWia0bcdYMWcpppz9k7OWjq55BJx3tHH3FADE8oaJgfr8SmC79s4ZBQwo2/Ho6zHLiplRJCDo6cIVWUa3bnbaM7cTEd+IrK6bKr2xLJ781p2bHiHLWvfJi5sNYlRIcSHriI54j2ytodSkhhBVcJGapag/wy7KmHjL4BX7lhPRdz6XwBvTt5Me+o2OnfGIdqXiip3H9IDu+nfn44ibx+K/H1074mnPiGa0piNZK5/m91r/geZ694hN2Q1ZVEbaY7bjHh3AsaiDGbay7ky2M1HBjG3tX3c1vTymUHKE5+JF1N2Xk05+POcm7/NT/DvR3z8eWacV34zryfN/HHGxp8Oj/F61s5jv5lvxw383jTIBVk3h7vqmW6vw9dczVhtEc7aXAKtxZyQNHJW3sYpaRunpALOSDu5IO/g6lAvHzk0XByVoKnKYkLVykmnhONOIfPOHhac3RyzdnPU0s2CvY/j9mCTtmATM28V4xtsxq1oxKduY1LXwbS+kzljN7OGDiY0zdj6Slgxp6nl4lgvHzj7uDgm4oy1m7nhJqYH65karMevqMUjrcI/2IBX2cC4rJaxgQrMHXnYOvMRZEZRuv1dyhLWUpEaRllyBDlxoSRueIuY935NzOrfEBe+mvjwNezYsJLk8CDw0sQIKv8O+M/QqxI2UpUQdHtNUhg1iaFUx2+kOn4jNfHhQeApMXTtiUeUlUp/VjqynD3oy3MZrS7E1liOr7uZGUkXE+J2vH0tDFXm0bZrO0XR68lau5LcDe9RGLqaqugQOpM3M5idzHhtLke6KjnT38gVuYDf6we4N6bj/piORfcIP86M8T8XJvjrUT9/nnPz3G9l0aXnscfIY98In4woOC1sxVdbjKkwC0VGCh0JMQjiY+hKjkW4Kx517k6cdflMtJcz01nBoZ4ajotbOSPtYL6nlhPCBq6NSLlskTNUvR+/opmTjiXgjm6O2jqYNbZxaLQjGMxrD6Ymn3RKOGLqw61owKNsJjAsYFLfSWA46HC/uokxSTVuSRUr/NIyztm6uWDv5ayth5NLcZAzmqZgnKayFp+8Fr+qgYC6BY+sHrekCntPEabWHJp2bqA8fjX1uyKpSAkjf3sIuXGhJIe+Q+yaN9m27h3iQ1ezbd27bF/3Nqnh75O9PYzSxAgq4jdQnbiRmqQwapPDl/Xz77qUCOpTgnPz4FgeSV1SJK07t9G1NwHR/p2oirMZqSnGLagl0NfCvHqA86YhbvnsfHl0km9OzPKHWQ+3PCYWhqWYm2uQFWbRnLyNhh2RdO3cRv/eODT5aVgr9xNoLuaMsIFbqh5+p+vnw8EePjFIeOQ28mrayQ+zY7yacvDUZ+auQ8enRgW/M8g4I2rDWpJNe2wUBzeupjIyhNzV75Cz+h3KIkNoTdqCKn8PY02lTHfXMttTy+HeeuZFzZzob+OspJVT4kYuDQu5ZJajrspkWtPOKaeUeXvvMvAZQytHLd0ctXQFDzpY+jhuFzOt68Alr8erbGZiuIMpQxd+TQsBTSteVSPGjgI80ipWjAsLOW3pYkHfxryhnQVDO1PKuuWw3Cl1E35FHW5ZLV5lEz5FI/a+Mhw9JZhaDlCXvI6imHfIjX6H/C2rKdqxkX2bVpMQ8iZbVv2arWveIi5kFZtWvUHcunfYGbGa7NhQineEUR4XQlXCBqoTQ6lPjaRxZ/Sy25t3baZt71aadkZTmxhGbWI41fHhNKZtpicrGdGBNAYPHmCkoQx7WzXWlnLMrZWM97XhEnVi7mhmtL0RW2cTc0ohZwxyLlqGOTs6xGnjIAFhG4Ml+xFlJtGfmYAyJ5Xhwt2MHMxgrv0gV2QCLssEnOlr4Lqyi6+sgzyfsvFs0so9p5ZP9VI+0ku4oRZxXtKJv64EY0Emwp3xCHcloS8rwFBejLe7lbOjQ5wclnNMKeSUZoBzWgmnVD0cl3Uw39/CKVk7FxQCTorqOavq5OKohOGa/cwOd3JmXMaCo4/j473Mmlo5Zu3muEPIvK2XI+aft0WFeJRNjMvq8KlamBjuYMbYzaS2nQlNKwFNM8OtOfgUtawY7ytmVlXHIXUjx3RtnDJ1M6tpYmqwAY+kmil1Cz55PT5lI25pA66BOoyteZjb8hhpzKYqfjUZIb8ifc1/Z9/GN8mNWUdG5GqS179F7Oo3iV37DltXv8OmlW8Qv2Elu6LXkr11AwXb1nNwe8hy6W5Ii6I+NZLqxFAa0qIQ5iUjLdlFZ8Z2auJDqdi+ntqEcHr2J6Isy0JfX4Sq/AANaduoT91KVUI0ZfHRlCZspX5vOoL8XEQHS2jJ2EVTegKG+lKmJN3Y2+sY72jkjE7BJbMGU00Rwr3xSPcnoziQhjovHU9dPsd7a5nvquJw20EuDrTyqVnBsxkHPxxxs+g3cUPZzWlhExckAs6I25htr2Gus5FTCiG3rAY+ctn4nW+Mzw5N8Nmxae6fW+D5lfM8uXCCu/MzfOwe5bJRykWtmItDvVxQCjglbuScupsLIxLUlZlMawSccko4YuniqK0Tv7aOaX0LcyMCTo6JmTV2LJ10+bmcNzKhacenacM/1IZf04pvsBmXvJah1gN45TWsmB1s4Ki2lWPDrRw3dnDc2IlPWoVTeBCnsAKPrJ4xcRU+ZTMeaSNeaSO2zlLsgiIszXk0pYay671/Im3lP5K2+v8gJ2YdGVGrSVz3Jgnr3mbH+lXEvPcbNq96k+Sw99m7KYSsmPXkbw2hYscGapPDqU+NpC4lYtndrXu2IC/bg7J8H33ZCTSnRlOXEIZg73aUZRlIivZSnRBJYcw6SmLDKI+PIj82jPTQ1US98a8kbFhPdkIC44ODfHR8nmMjWqSlOVhba/jANIyvqwVTTQkLCiGH+jsR7UtCuHsHipx0ZFkpWA9m4qk5gPNgBmPlmRxuP8gtrYgnUzb+cnKS10fcfGZS8OGwmGuDPVyQdnBR1cN1g5wPLVouaOUc6u/G19mMTdBAQNnPMb2GBf0Q111OPpny8uWsly8n7XziNXBtRMwFRTvnZe1cH5Vy1aZisDKDCVUrx21iDpk6OGRuZ87UyoyhlSPmLk6Oi5kxCJaSF9uD5VzVhF/dhn+oHZ+mlUmdgICmFYekCnt/BVOaJlZ4+8s5PNTEpKSGQ5pm5nUCplWNeAZqGBdXMyauwimsxqdsxadoISBrxtCYi6k5D29fBT1Zsexd8yuS3/oH0lf/mryYELKi1pCy/m0S171D3Np32LzyTbaveZe08DXsjQ4ha1MI+VvWUR4XslzO61MjqUrYSMWO9TTv2oyqIgN1VRbi3GR6MnfQuS8OcV4a4vx0CmPWkb721+wPX0V9eiwNu3eQumEVYW/8CxvefION77xH6Mq19Na3svj7T/jr3W+54LKjKstnrKmG3zpMLMj6CHQ0MtXVQlv8Zuq3hDJUkIGuaD/qnGTUWTvQ7k9krCKLo11V3NQJ+f7wGH8+Ncmrox7ue4zc8xj4SN/PGXEL56QdnFf14G0pR3EgnZGKfPTl+fQc2IMgL4vqncn05uXQm72fnow9OJprOK+TcHt8iI/HB7k+3MstfT+/GxvmumOQoer9BBTNnHJKmHf0csQqYN4Z7NBPOEXMGNuYHG7hiKkHj7KBcVk9vsFm/Oo2AkMC/EPtTOoEjMvqMPWWMKF0zdfgAAAgAElEQVRpYXqomRXGlv34JZUc1rRwTCfg+Eg3R3UdHNYKmFa34ZbU4Vc0M6PtwimqYay3iqGa/ejrs/H0lCM+sIOcsDdIfPO/kLn+NxRtWU9uzAYyotaQHPIu21e/xbbVbxO//j3SItawO3ItmdFrydsSQunWNZTFrll2eUNaFPUpkbTt3Yqmej/DNdlIC3cykJdCb1Y8vQeSaNoZQ1bo2+wJeYNd696gLD6Cut07SF6/irA3f82qX/0zb/3qX3GNOvn95Vv85eFT/u/FJzy7dYMPPU4WJEKmO5u5YdJyxaDG1VhFe3wMBWvepj0+BllGKv27ttKfFsXQ/ngmGgs5L2vjE6uSJ7N2Xs97eT3v5Z5bz1c2FVcV7cw2FzPXWsZU60F0hXuRZaWgzE2nLjaM9NW/IfbdN4j811+RH7OJWaWSsc42GhK2MpCdhrutlDNqAZ+Pabg3aeHOlJXrDhW6ugP4FU1LTVsfE7oGZkZaOGzq5LhDyLS+lVmDYDmgz6tqYkorYGpYwJSuk2lDF9P6DkZ7SjF0FjCtbQuWdGt3EVOqRuaN3Zw0i5kbEuAUVTImqmRsoIbR7lLMvWUE1K04B2oYl9WhFxSib8tjtL2I/qJUCqJXkvTWfyVr/RuUbV1PaWwYBTEb2L3xXZLWvUlS6NvEb3iLpNB3SAtfye6oVeRsWUdBzGqKt64JzscTQ6lLCqc1fRNd+7YyWLobTdkeZPnJCNKjqY0LoWrbOqpjQ6iJ20hh5CqKN6+lITmGqvhodq1+h7g3fk3kf/sHQv/hv1K8bRuqigquu9zcP3mS37pdnB1Uckuv4VhvB4e6WjjR382hnhbEu3aQv/oNDm5cScu2MPoSIxlIjkS9bzvuyv18IG3lS7uKR4ERns/aeD5j5VuHko+HurgoqmWh4yAL3dVMNZdhK8/BWVuCeG8SGe/8K1v/+R/Z/Ot/ob+8hNpdKQw3VPH81iWuuc107U2kImoNg3npfOQY5MFRJ9/MWbk5psLYeAC/tJ4TVjHz1j586gZmDO0csfZy1NrLMVsfsyOdeFQNeFQNBIZbmNILmNK1M2PsYHa0k8BwM8PtB3AMlHNI386kso4VTlE5Hmkt04OtnDCLOazvwiGqxNpXjltWj0tRj0tez4yhkxljFzMjXYz2lWHsKmakqxR5ZQZFW94j6a3/wr61v6Z0y1oqtodTER9FXkwIu8LeITX8bZJDf0PixjdJDvsN6ZHvkhe7npK4DZRsD6Fs+zrKtq6hZPN7VMauoSU5DFluErqDe5HnJdCcuJ7SyLc4GP0u3bu3YqjMRpG/C1FmMuL9qQiz0ujbl0bP3jTak+NoS9xOR0o8Q4U5TAiamR8QMj8g4mhvJ2f7ezgt7ua8tI9T/V0c6WlCnZ1G/aY11G5aTX3MWrpiN9C3fQOK1M2Yc1KZayzgpqqTbxxqHnn1PHQN8cWomJvyRj7WdHJTJeCMsB5/bSHWkizGa0sQ704m851/I/ZX/0TUf/tH3OJeBkrz6cndx/c3LvD65kUcLdVURK6jJ20bN8wyvp4x8emkgetOBbbWfHwDNSyM9gQv/2vbOWLu5ZhNyDGbkAWHmCl9O2PyGsYVtfg0TUxoWwkMtzChbWba2IpHXctQ237GpBUc0rczM9jICltfGT55PQujfRzWdxFYmnpNato4PNITjJMy93HMKuKQuZcJbTv6zkJGuooxdR9E11JIRcJG0lb+E/s3vMnBbeupiIugKj6K/JgQ9kSsZFfESlJC3yIh5N+ID/kfpIa+Rc7WtRTHhlC6PYTy+I1U7thATcJGauPX05YawWDRTjQlu5DnJNCfEYvsQALqop1IDyQh3BeHunAPpup8RqpyMVTk4mgsx9fRwKxIwAmFkItaBTfNWj73Ofh22sOdiXG+9jr43DHKR0YNt41qLg2KmWqrQpe/m4FdsfSmbKYjIZzObSEIot9jID6c0exkAlX7OdVVxacjA9x1qrnrUPH5iIgbskb+oO3huryN+fZy3BUHMBfuw1R6ANX+dAQJW6ndtpnC8FBKNoWTFfIeg+X53HSbOT0sw1RZgDZ/L6aSLH5rVfDV1AifBvR86BpkQlzDjLKJBVMvh4xdzBg6OGYTMm8TMm8XcdTax4S2lXFFLS5l3TLwSW0bU/pWZkcF+IYasIpLCWgamdW2Bh3u6K9iUtPG5GALU5o2XJJabKJKvKom5q1izrgVHLEIOWoTccjcx7iiHk1bLvqOQnRthehbiqhKCiVt5X9n/4Y3Kd68mtKY9RRFr2PfhnfYteEtMqLfZ3fkStJC3yJ141ukh70dPN4Uu47S7SFUJGykOiGU6h0bKN+6mqakUIQZsQgztyPLSWSkIgNjRQZDxemo8lKRZiWgzk/HUJbJaEU2lupcxpvKCLRXcay/jQ+0A9y2avjCa+Ibv42Hsy6eHQ3w8tgkjybG+dZl4Xcjam7pZBwS1GApzUSXl45sz3b6kiPp3RFK5+Y1CGM3MLw7FnfpXo61lHBLKeCLEQl3rHK+HO3nd+oOfqfu5Jainauyds70NTDbUoG/vgxf/UECzdXM9QhYkIo5qRxgsqeNI9JuzutkXDbIuTI8wE3tALf1Mr5w67gzOcIXEwZuuwY5pGjiqLadBVMw2mPW2MGCQ8y8Q8QRSy/TBgGewQZcqnp8Q80EtK1M6duZMXYyYxQwoWvGNnAQl7yaGV0rk+pGJuQ1rDB2FDEmqcUjb2BC3crYQC2GziJGe0rxDjYxqRPgVjUS0AvwDbdi7ClB3pCJTlCAtrUAfUshVYmh7F79L+SEvU1h9Hvkhb1HXtj77At5i13rf0NG5HvsjVjJ7vB32RX+LrtD3yF70/vkxaymcMsaynasD66bbw+hPnEjjQkbqNryPsKMWCw12WgK0tAUpBEQlDPZWYG3uQRbZQ7Gor0YCndjLNqDo+oA3sZCjvXWcVHZxRVNHx8aJHw9rmNx2sHijIPFKQd3xka44zTyiUnNtUEhc20VuKpyMBXtQbFvO/1p0fTFbUS0fSOyxEjUO2NwFqZzou0g16StfG7s555jkLtWOZ/p+vidupPbSgHXpW1c6GvkvLiND6RdXFeLuTEs5eNRLZ85LDw+NMmTY1Pcn/Pw7ZSDe1N27npNfDOm4zuXnofTZu7PWfgioOOqRcyEuII5VSOH9W14FTXMjrRzwtXPUaeI6dFO3JpGHMpaXOoGfNoW/LpWJo0Cpkc7mTN34VHXouvKJaBpCL7fXdMULOnGrlIc/TVMDbVzZKQX32AzTmktFlEwxsPYV4pVWo1DWYdZXIGhuxhNaw7a9nyGWvLQNudTnRRG1oY3KIx+j6Ko9yjYsIr8je9xIHQV6WvfIH39W+xbgr4vYhWZke+xP3IVeZvfp3hbCCWxaymPC6Fyewh1CRspiXqb1pQITDXZDOaloC1MJ9B+kOnOSnxNxfgaC/E1FOGtzcNRloGpIB1byW7Gy/cx3VjAiZ5qPpC2clURDNH9raaXz0akfG0b4iubji8sGm4PD3C6t5FAbT72kj0Yc5PRZG5Hlh6NaEco/XGhqHduYWjXNlyFuzglqOCWQsDnhn6+tSq471DxjbGfz4Z6+N1gF7/X9PH7ISEfaYTcHhLzoaafD4cG+HREzXdjFp5Mufn+sJ8nc24eTFr5xq3la6ea+65hHrp13PVo+W7CyCdjKq6aRMz0VzOjqGdK3YhTUs7caAfHXQMcsvbi07ZgV1TjUNTgHW5eBj492snUSAeHLN2YRMVo2vczrQu+PmtisCEI3KVoxK9pY0LTypRWgGOgGlNfGaPCg1glVRhFBxntr8AgLEPbWYi+q4iR3lJGe0oZbs1H05BLV3Y8+VHvUhj9HoVRqyjYsIqctW+Ts3EVe9f9hpTV/0ZW9Pvs37yGA5vWkrt5Lbmb11C4bS0lsSEUb1tDydbVVMdvoGLbamq2r0Wel4zkQDzCXVtwVudhLsvEVLyHI101nBDWc1rcxAVJM2eEdcwLypltKGCusZD51lLO9tZypb+Za5JWbskF/E7dy+f6Ab4YkfMHnZTr8i5OddUxVZuPs3gP1oKdmPKT0WfvQJcVhzp9K4rkaIZ2bkW/Zzu+0n2cai/nQ7mAL/T93BmVctcq59sRCXf0/XxtGOCeRcUD+xDfWdV8NarkD8MDfKwW85leyVejGr4YHeRLm4Y741ruenV85xnmvmeYxz4tjz3D3PNouT9h5Eu3hts2KSfULRwabMQnr8Ylr+KovYcTrgHmRrsYV9TilFUzrqhlQtvKlEHAlEHA7GgXs6NdHLZ045RXYhGXMK1vxa9uIKCqZ1rVwIoxWQP2gRps4kp8g83YB6oZ6SlF11WIoa8UbU8xRtFBdL0laAR5qFtz0HYUYOwsRtdWyIigFGVFBpU7NlC2LYTcsHfIW/M2Ge/+mszVb7Jv7W9IfPefORC9mvwt6/8fst4zOu7zSvPUmZ0zZ6d3Zvdst3vbbrck5qTEBIA5BxA551xA5ZxzzoVKqEIVcgZIkACTKCpLlEgrUFSwZVmWrWBbwUq2e3vPnu2ZndnffigK3X3mw3uAKuDb87/Pfe5973P/NBVvp3HvNpqLt9GyfyvtB7bReWg7XQe30Xd4B10lG9GeK8LddBLNmT14ao4Rrj9Nqq2CWWkblzS93LRJec4h40WXgjsBHW+GTbwZNPK6X8/rfj13g0buhc28F7Hx/qCD96N23g2YedOr55ZDzQ2dkIvSdmb7asm3ni2cjlKyLScZ6Swl33KWVPUxYucOEi8/zGR7OVcVnbzqVPJO1Mr7CQe/Trv4KOnmw7iLD5Nufjvk57NcuDD9Op7g9+NxvphM8/uxJB9lw/wy7ePnaQ8/z3p5N+vivYydD/IuPhpz82HOyYcjfj6cCPPz0QCvDzt5ZlDH5YiSSVcfM0ExV0YtXBmzsZTQMuLuZ8InYiYsZz6mYi6qZCmh5VLGxErWzIW0jtmojNmojKW4ivmInFm/mAWfiAeimnbS5l7G3GIWYmpyrn7CmiZ8ynoihjYC2iZipg6ixnYiuhb8slqCinqi6mYS2g5S2i78gmoU50roP/oE3fu307D5Qcp++iPOPvQjKrb+A6c3/h3N+x6h8/BOWop30LB7SwHwfVsLOfzwDnoP76C9aCOCQ9ux1R1BV1qE8uQTOCsPE6g5yZigiVlJGxeUXVzR9vKMWcRtr4a7IQNvhU28HbZwL2jmrt/IXa+Ru14D97xG3gtYeNdn5i2HltsWBc8ZJTxtEHJN1c2SsJGJznJGO84x3nmOsc5SxrpKmeysZKz5HImKIyQqDjPReo5L4hZeMIt506/n/bidj7NePkn5+HXCxYdxJx/GXfwm6eWz4TCfjxWmXf84NcTXMxn+OD3E5zMpPpkY5MPRIL8c8fDBqIuPp3x8MR/m8/kQH436+WXex89HfLyedfBCysj1QTWzvn6WEkouj5i4OKxnLqpg3C9mKihlPqZiPqZiJixnOW1gNWfl4pCJqaCY6bCEhbiKmZCk8FbEoJQ5j5AHBnUdpEzdTHglzESUDFl7CCjr8SnriZs6CGiaGDR1krB0MWhoJyivJ6JqJKZpIa5tJ6nrJCZrxtx0kp6D2+k/8jj9JY/RtP0hzj70N1Rs/nvKtvw9XYeeoP9EMe37H6Np91ba9z1C+8EdtO7fRtfBHXTs20LzzoeRn96Ds/E44sOPID3yKPaKA0SbS0m0ljEmqGNB2saKspOn9AJedsoKNuCohXeCZt4OmLnnN/GWz8Rdr4G3PAbe9hp5y63nDbuGV80yXjRLeMks4Vn9AJfEzcx2VzHefo7R1rOMtJ1luOUkuZazjLSUk6o9yVDtCabaK7g00Mzz+gHedGn4IGbns6yfT4d8fJz28tukh98k3Pwm6ebTbIA/jMb4cjzOVxMJ/jiZ5MuJBF9OJgr2oqkYX8zH+XJhkK8WB/l6Kc4fFwf5/XSU34yH+GA8wL1RD6/kbFwbVHM+LGNlSMdKzsBiUsWEX8RUUMJ0SMpsRMF8TMXioJqVrJnLOQuLcQ0ZWyfTYTGLcSUzQREXEmrmQhKm3P08kLX2MmzrY8wrZsQtJGXuIqptIaJpJmvvI6xuInNfrCV17USVTYTkDQTl9UQ1zQzq2ogqm3F0lyI48SiCI9sRHn6Mrj2bKVv/I0rX/Q3nNvwtLXu20H9sDz2HdtJatIP2fY/QdmAHzcVb6Tywg7aizXTu24qx6jDa0n10792I8vhO7BUH8NYdIdx0gpHeaublLZxXtHHD2M+rPjVvRUzcixh5K/g/nrt+A3f9Bt7wannNreZ1l4o3HUp+ZpPxukvNyyYxV6RtTHdUkK4+SuB0Md5Te/GdO8Bg/WmGW8uZ6qrhoqiV6/IublvkvO3S8VHUwadJL79Nu/kk61vbD/NJtrAc6OOMt2BOGI3w7VSCP82k+GZ8kK9GI3wxGuHLiRh/nBrk65k438yn+H5hiK9nk/xuPMr7wz7eHvPzat7NpYiS81EVV4YtXBo2MzeoJO/sYSogYj4qZyGmYHFQyUqm4C+7mrewkjEwbO/kfFLBUlzOXFTMYlzGuK+PMU8PDwzb+pj0SpkMysja+0hbuhmy9pC2dDPqEZEydzHsEBDVtpDUdzCobiGkqMcvqyOsbiKmbyWibMQjKEdeXkT/sR30HdiO6NCjdBZtoWzjjyjf9H9Qs+Mhug8+Tt+R3bQWbae5aBtNxVtpKtpCx77ttJdsRXR8J+aaowgPP4Lw4A70Z4sxnyvGUXWASMspst2VzMtbWNH28JRJyC23kjdDBt6OmrgX+h/PW0EjdwMG3vTruRswcM+v592Anp+HTbwfs/OaW8OKuJVMzXGch59AvWsDmj2bMB5+HO+5gww1n2Ouv5nr6j6eN4h4w6nhXY+e38ScfJby8duki4/THj5Je/hDLsjXE4N8ORa5v/orwBcjYb4Zj/HdVILvp5N8N53k28kEf5wc5I9Tcb6eTvDNXIrv5tN8PZ3gd2MR3h/28lbey8tZRwHwmJpreQeXsmbGg2JGXb1MB8VrYC/FCxMwyyktV3JmFgeVXEiqWcnoWYormYtKmQ6KGHX3Muru5YGMrZdhex/DDgEZay8pcxcpUydxfdv973oYcQuJG9sZMvcQ17QSUTcTVDYQUDcyqG9jUNdGQtOKre0kvUe20XdgO337tiE+9gRd+7bSvmczVdt+SuPODXQdeIy24h20luygdd92Gou20Fy8mZaizQwcfRx1aQmC/VsLDtLTe9Cc3Im1vIRI8ykyneXMSptY1fXylGmAFx0yXgtouRc2ci9k4u2wmXciFt6NWnknYuHtsPlfvovZeH/Qzq8STn4Rs/GGV8sVWTtD1UdxHH4MzZ5NKJ5Yh7Z4G4bDT+A8s59kYymz/U1cUfbyolnGWx4973qNfBh28HHczcdJ19r5w3CAbyYG+dNMij/NpPhuKlGI6HyIr0YjfDMZ59upBF9PxflmJsm3cym+mUvx7XyabxfSfDuX4vPJOB/kA9wb8fJSxs5qTM1qysCTo06WM0ZGvANM+oUsxAp34ssp7X27cMFutJzSkrF2cDGtZTVrYCmuZHFQwWxYwpinrwB4ytxF2tLNsGuAMb+ElLWbhKmThKmTjKOPlLWbIXsvUV0rCUMHYWUjMW0LQVUjXkUdYW0zYWUjSV07vv5KBMd2ID7xBLLjO5Ge2IX01B6Ex56g9tGHqH7kQdpLdtBatJWWku00lWyjYe9mGvdupKVoM/1HH2fg6GMMHH7kPuB70Z3ahb1iH5HmU+R6q5mTNXNR1cl1fR8v2KX87P56rnth0xrYPx+0817MxnsxGx+k3HyU9RdOxsevh3y8FTLxrHGAkeYzOA4/hnH/DqyHd2I+9DjGQ4+jPfQ4lhNFDNafYUbQzKq8h+eMEt7yGfl50MKvwnY+ijj4JOHmk6SLj2I2fh218nHCyefZAF+PRvl+KsF3k3G+mRgsnMk430wn+HY2xZ8WM/z5/DDfL2b4bjHDt0sZvp1L8+V0gl+NBrk34uX5lJmVmJprWQurWQvzg2py7j6mg2KW4qo1oH/wiF8ftbEQU5B39rCc0v5LhEdkzEflTPoHGPMIeCDnGiDnFpLzChkLykjZekjZehh2DzDsHiBp7Sbj6idt7yVhaMcrriaibcavaigArmshqmslbeoiqW1DVVmCtrwEZ+NJNOdKUJ4tRnGmCMHRx+k8sIOeQ4/RuGsDNU+so75oM3V7N9GwdyNt+7YhOPo4giOPFAwIJ55Ac7YIw9m9WMuK8dcfJdtdycRALYuyFq5qe3jBLuW2V8WbAR33QoUofzdq5RdxB+8nnPwq7eGzsSh/mIzz+/EYv80FeTtq5RW3ikvydkLn9qEt3oLlyE685w7iLTuE/UwJxhN7sJ/ZT7zhLNOCFi7Je3jWIOWdgJUPIk4+Sfr4OO7h90N+Pk25+XXUyvt+A+95tPzCp+ejqI0/ZAP8eTrFn2fTfDed5JvpBN/MpvjTYpa/XBjmz8s5/nwxz7fns3x3Psu382m+nEnyQd7P6xkHTw/quRRRcn3YxnJSz0RAwohvgNmwdA3wArAGzifUXB42MR0Us5zSFvziwyaW4iqmg2Jmw1KmAiIm/UIeGPFLmAjJmQjKyHuEpG29DDn6yHtEpG29RA1tpG29pK09hbaquIqwtpmAppGwoZWEtYu8e4Bxr5gJtxhX11n0Ffuw1h5BW1aC8uxe5Gf2IjuzF/GpPXQd2E7znk007NlEXdFm6ou3UF9U6Lp17N9G7+EdSE7uRHJyJ7KTOzGWFmE5V4S35jDpjnPkeyqYlzRxRdPNsxYRt1xyXvOq1/L0OxEL7yecfDjk5fcTg3wxneSr2TRfTCf5KB/kZbeaJw39jHSUodi9AfmeTXhKD+AuP4i36hjuyiPYSw/iqzpBsqWCmYE2Lin6uOXQ8l7UzUfJAJ8NhfkoVlge8HHSxW8TTj6MWnk/aOSDiIUPYzZ+FbXycdLNVxMx/rI0zJ8WMny/kOEv53P8eTnPny/m+ceVUb5ZyvDt+SzfL2b442yaD/J+bqesXA+puRRR8mTOzmJMTd7Tz0xUwXxUzvmEmktDei4kNaxmCzPqyyktYx5BYdYtrWclY2QhpmQmJGUuImcqIGLKL+KBsYCU6YiS6ZCCvGuAIWsPGVsveWc/Q9YeUuYu8q4Bhu8LOv/9qParG4maO0g7BeTcQsY8Yqa8UhLKZsy1h1Cd2Y2uYj+K0r1IT+1CdH8ita14My17N9F2YAe1xZtp2LeV+uJN1O5aR2vJZtpLNiE8/jiSkzuRntyJobQIa1kx3prDJFvPkusuZ07cyIqyg6f0fTxvEfGqU87rXi1vBY28G7XyQcrNx/kQn08l+HwqwdfzGX4/Mci9QSvXDP3MiZoZrD2O+Il1yIq24Kk8gr/2JMHGM/jqTmEvO4Kn8jjxxjIm+ppYlvfykl3Lu1E3X0wM8Xk+ySfpAL8dKuxp/UGp/6DOP8n6eC9k5C2Phl/F7Xw5OcjXM0m+X8zwl+U8f7k0wp8v5vnTxTxfzaf4aj7Fn5ayfDmd5FcjAe6kbax4pKzG1DyZszPmEZJ19jI3qGIuIluL7IIpwbAWzWMeQWEVyJCRi0kD85HCAON8WMmEV8SkT8wDY0EZU2EF0yEF4z4JedcAWXvfmlIfsvYw5hWTu/8AhNRNRPStuOW1BA2txK3dBUZwDTDmEpI39+BuPYn6zG70FftQlxUhObmz0DY9vIOug9toK95MU/EWaou3UL9/K3XFm6je9TDNJZtoKdpA/9FHER5/HOmpnRjO7sVWVoy39jCDzafJdZczK2rkoryNq+oubur7eNEq4rZLxd2AYQ3wz8aifD6V4KvZNF/PDfGrtIeXnQouqrqZ6KslVncc9f4dCHdvwnSqmEDDaULN5/DUnsBRcQxH2VF8FccZaqlkrr+dZ00K3k8G+X5hgn9cGOf/XBzjL8sjfDWb4KNhD7/OuPlkJMCno0E+zvt5N2riJYuQ23YpHyad/GE8wveLGf5xZZR/XB3lLyuj/GVlhC8XUnw5n+K7hSH+MDHI+8Ne7qSsXPbJuZ4ycGXIxKirn8mghKW0jvMJ9RrQP5yLaR0zIQmzYemaQWFlyLwG+HRAen8qRsIDowEpYwEZkwFZQZXbeklbukkYO0iaOsnYepkMyMi7Bojp23BJqgjrWnDKavDrW4iaO0jZexl29pOz9TFmE5BXt2GpOYDo2A5U54qQntqN8Pjj9BzeQXPRBhp3r6OxaBN1+7ZSV7KF2r0bqC/aSMu+zbTt20Tf4e30H30U2aldGM7uxV6+D2/tEWKNJxnuKmOqv44FUSPLkmYuK9q4qe3hZauUN3w67oVM/DLp4rOxKF9MJ/lyJsUnI2HeCZt5ziJhSdHBlLCRbEcF9tJ9SIq3ojj0GIazxehOF6M8vgv10T1ojxZhPXUAf9lxYlWnuKLs54N0mI+HB/l9PsHXM1n++cYcf7qY4+PRIB9mPXw6FuLj0SAfjwb4MOvhGUMvK6IG7jhkfJCw84epGN8sZfjuQo4/Xczz/cU8X8wn+WIuyVfTcX43FuWdtJPbCQvPxI3czJhZCCsY94pYzhhZSum4lres0fiVnHlNnY95BFxMFwyGF9OFlZzTASkzQTmTPjGTPjEzQRkPjIfkjAWkTPilZO+XZ2Ne8Rq9DzsEjPnEjHnEhDTNOKXVeJX1OKRV+DVNBLRNhHQtJK09JC1dZKw9zLiExMQ1SM48TseBjfQe3UHHwc3U736Iut0PUb/7Iap3PUjTgS3Ul2yies86Gks20XZga+Ei5cAW+o4+iuT0HrSlRRjLinHWHsFff5R4+1lyXeWMd1cy21vNBVEjTyo7uWUUc9el4RcRKx8N+fhsNMIfphJ8OhHj/bSXV706ruj6WVJ0MS/vYGSgkWDjWUznDqE8VULvwcep3vEwZzb+mDMbf0z51gepe2Q9Xbu2Ij+0i3RnLYkrrbAAACAASURBVE87NdzyGflZ0ML7QwE+X8jwyVSSt+Me7g16+MVQmA9yUT6eTPLbqTjvDjmZE1Qz2VHOqy4lH6Td/GEyzh9nhvhqOs0XM2l+N5ng07EYvxsJ85vhAHcTNl5KmHg+a+fakIm8U8BkQMr5ZOGFdldzP8ykF7Y/XBuxciGpYSYk4UrOzErGwOJgQZ1PB8RM+IRMeEXMBGXMhuQFwCfDChYGtUwF5UwGZEwF5Yx5xQw7BIx6RIx6RIx4hIS0zQS0zXiV9djFlTgkVbjltQQ0TaTsvSTsPcQtnYw6+5l0C8mYOjC2HUNSsRdR2W4U1fvx9lehqT/C2R1/S33JeupLNlCz92EaijfQun8zbfu30LZ/C71HH0VyZg/Kc8Voy4ux1R3GXnMIX91RBptPkm09y3hnOfOCGi5LW3lBK+BNh4pfRu18mg/z+XSKz6aSfDga4Y1BBzcsMpY1fUxL2xkTtTDYUYW77gym6lMozx2l71gJTSVPULlrB6cf28TJR9ZzaP3fcXzD31H72EYGDj9BoOUco+JWlrR9POfTczvq4EmrmnmpgOsmHbcCXm6HvdwbCvPBRJzfnR/meY+S4ZYzLEtaeDNk4rfDIf4wGufz8SS/G0vw2ViK3wxH+GXCxS+SLt5MO3khaeaptIXFqJoR1wCzUTULMS0raQsrmYICX8kY1urvpbhqDfzC5wLgCzEFI65e5sIK5iMFB8r9HK5kLqpmMiBjwi9lxC1k2CEga+9jxC1kxCUsLM8VV+KR1+JXN+KW1+KW1+KQVBHQNJFx9RdAt3aTd/Qx4REyH1YwE5CRt/eT0BVm4Ca9MoZMvTTu30T5E39PbdE66orXU1+0nsbiDbTs30z7ga30HH0U6dm9KM4Vo60owVJzCGvVQRxVB/BVHmCw7hjDrWeZ7qnioriZZ3UC3vBoeS/u4KN8iN/PpnkvG+TViJmnXRoW1b0sagSMilpJ9zYQaqvC3VSOvakCVdkJRGeOIDp3gu6Th2k5uo/mYyXUH9hJzd7t1O3ZSkvxdjQVh/G2lpEcaGRK08e4rJNkVz2DbXXMKSU86TDztNfOK4Ne7iTdvJUL8OvpONdNA4x1lPOCXcYvk14+zkX5bDTOp6NxPh4d5INMgHdiVt5OOHgtaePZQSOrUS1jzn6mg/LCLGHcwOpQ4c3Dq8MF0C8Pm7iQ1DAXkd33mpm5mNYxH5MzHRJzPqFm3NdfyOVhORPe+zl8KqpiOqxk3CdZo/MRt3Atusd9EjKOPmyiClyyGnyqBtzyWlyyGrzKemKmDjKufgbNnYT1rSTMHeTdAmL6ZgKKOhLGDoad/SRN3aTMPaQtAgbKiyl97MdU7XmIuuL11Ox9mPqi9bTs20Tb/i10Hd6BrKwEdfk+dJUH0FccwFSxH1vFAXzVh4nWHyPVeIKR9jLmBfU8qevjdkDPuxkv72b9vJlyc92hYEHTy6yml5yomWFRK/GeRoLttfhaqvG01eJur0dTdQZp2SlUtRVIKkrpOXsCUU0pmrZadK3VKOvOoqw9g7u3kYiknYSii7x+gAmDhBGNkEm9nGWXifNWPZddZp4JO3nSo+dJt5a3hoO8EjEz29/INa2A9xJuPhqO8GE2xK/zEX6ZC/F20sXbCQdvDFp5LqThSkDJhZCKvKOX2aia8wk9F+JGVu9H+Gq2oMxXs0aW4irOJ9RcG7FyJWdmKa5iJixhIihkKiRmKiRmJixnMiBhwi8p1OGzcS0LCT3jASk5j5CsU8CIV0TeK2LY1c+IT0zW1Y9bXotHWY9P1YBdXIlNVIFdXIlf3UjM1IFf3UhQ20zK0c1EWMagpQ2PopaApplBcycRQwdDjgFSNgHypqOU7/oplbsfpPYHwEvW07R/E80lm2g/uA1l5QHMjSewNh5HU1aC9mwxxnPFeGoPE6w7Sqz+OPnOcpZkrVw3i7gVNnFvOMizAQOT8nbGZO2MytoJdVXiaS3F21qBrb4Ma305tvoKnC01eDubMDVWo6ouQ1NbgaqmElV9DYb2RlwDXXjE3bgG2ompBxhz6Zn0GsnbVYy5tCwFbIxb1UzZdSz77SzYDVxwGpkzyllx6rhoV/OkR8+dlIfLRjGX9UJuB0y8k/DyVtzJ2ykPd5MuXgkZeDWs58WglqtuKee9EhaCcqYCUpYSOs4n9FxKWbg8ZGU1ayoYCTMGllPaf0Pnq1kjsyEpk0Eh51MahmwdDDu7OZ/QMh2SMemXFgCfiamZT+jIuvqJmwtXoSM+MWlHbwF09wBpey9+dSN+dSMOSdVa/nbLa//NkETK3kvG28+wX0jI0EzY1ErY1IFP04hb2UDE1EnI0IG85Ri1+zZQuech6oo3UFeygZqidTSUbKBp/2a6jj2CvGIf9tYzuFpL0ZbtQ3lqN7qzxdgrDxBsPEm6s5wZSTOrpgFuejU8FzJxw6djXN5BVtJKXtlJQtSMpfEUpoaTOForMNSUYq4rw9VWh7O9HltLHYa6SpztTdhaGrA2N+DqacfR04Z3oIuoUkjaoGDCbWI+5GAp5iZv1zDlNXE+5GTKoWfGZeCC38qcU8e0RUlW0cucRcGiTcWYoocbfiPPBsxcNkl51qnlTsTGazEbtyMWboVNvBTUcdMj45pLwhW/nGmHgAm3kMVBDctDJpZTRlZSFq5mbFzJWdZKsaW46v5tWcEvvpzSMuEbYDIgZCYmJePoIufpY3ZQxWRIynhAygN5n5jpqIqJgJSEuZO4sYOItplhZz9paw/jfgl5t5CkuROfqoGQrgWXrAaHpGpNuEWN7USN7WsPRFDfRMrZQ1DfRFDfhFfdiEdVj1/bQkDbikfVhK7rLI2Ht1C+66fUlqynpng9NUXrqCvZQNOBzXQc3YHo3F4sTacI9lSjqziI6OhjmCoP4qg+QqS1lKHeamYU7Vx1yXg2YmHJJCYtqGdM1cO8VcakWUxM0oqtrQxj0xnMzeWoK0+jrT6DrakKW3MN1qZqXG31hPvaCXS34m5twNFWj7e7lbhUwKhJxYzTyILHypLXyrhZRVLez4LbzEW/i3mXiVmHlgWXlmWfgUW3hmF1L1MmGYtOLcOybhbNcp4N27lqV3PDqeHFoIlXY1ZeCht5LqTj2ZCGK04xV70yVoJy8pZOxjwDLKV0nE8ZuJQ2cyVt41rGzuWsaW3P6nxUzoWkhsvDpoL9KK5iMiBkNiol5+1lIiRmLq5kMixjPChhPCjlgZGAlIWknumQgiFrDzmHgKCygYSxg5SpkxG3kJyzn4i2BZe0mqC2Gb+6EZ+qAZesBquwfI3Sw/pWwvpWMm4BkxE5KUc3YX1z4XtdCyFtG3FzNwF1CzZhFd3ndlO+90Gqi9dRsftBqosepq5kAw37N9F6eBt9Z3ZhrD9JsLcGRWkJPfu3oSktwVp9lGhnOXlxE4tGAU/6NCyZROREraT6G8jJOskquokKm7G2lmNoOou64TTKmpPIzh1FVX4Sc30ZjuYqPG21RHtaCXY0Eu5sItBWh7epmoSgnXG1hDmTiiWrjhWnmaeCHq547Kw4zDwV8rDisrJk0XHJY+SiR8uiQ86ItoewoJa0rIMxg4i8eoBZk5zLbiOXHVquujQ85dXxfNTEsxE9N8MangyqWPGIeTKmYTkkJ2ftYiosY2lIz1JCx+qQhesZO9cydlaGDKxmC8t156Pyf7V+s9BLn/ANMJ9QkLK3MxYQMp9UMx6SMOIXkveJCqJtIWlgNqwkY+tl1CMipGokoKgnbekm5+xn2CEgpGrEJa1ei+KwvpWYqYOgtpmosZ24pYuYqYOYqYOcW8CIV0hE14RfWUfa1kNQ3YhbUsugoROvrB5D11n6KoqoKHmYst3/QFXxOqqLHqameB31+zbSemQbgrO7sbeWkpS2oa04hODQIyhO7sFYcZBIVyULZiE3wwZuBAxkBU0kexrIiNrwtVRgrTuLtuo40nOHkVUeR1l/Gnn1CeTnjmKuP4ens5ZwXzOJgXaS/e0MdjeSFrSQHWgnP9DBrGqARb2U8wYFq2Ytz/mc3E0P8no8yisBH884bDzltPOk08xLMQ8vxB1c8amZMQvIKlvJKNtJytqIizvJKgTkZL3MaEUsm+Ws2hU8EzJyM6zjRkjNFb+ci14xl6NqZjxCsrauwhRqpvA6ydUhC08O2bk+ZGMlY2B1uNB4OZ9Qs5o1ruXycY+AMY+A2UEZw74+xkIiJqMyxsJSRgKiAuB5n5ipiIrJoLzQRvVJSJg7CSgbyLuF5D1C8m4hMX0rXmU93vuRHdK1kLh/k5Zx9ZO09ZCwdhO3dpH39JN39+NX1OAQlRM3dhBUNRJQNhHTt+MYqMbUcw5d5xlaTz7G2d0/pbpkPeW7H6S6aB0N+zbRfvQRBkr34mwvZ9woxNZ0hu4D25Gd3ouubB/hrkqu+LW8mvdzza9lWNjCnEHEhLqPYGc1qtKDKMuOIi8/irTiOIrqU6hrTqOvOYO9qQJHQxn2urP4myuJtteQ6Kgl1VlLvr+ZXG8jo4Jmcl0N5DsbWZD0cl7Wz02zhlWFmFWZmIsyMecVUs6rJSzrxaza5Vz1qbke0XMpqGHOKScp78DRVomvq4FQVwPjqn4WjVLOWyQ8FdJzM6zjekDJqk/KlZCSlYiSMUcfo+5+5hIaFtN6LmYtrKTNXBuycy1jYzVr4nKuUI5dyui5OmIplGJReSF/+4XkPL1MRMRMxWTk/f0Me/sZ9g6Q894HfDwkZ8QvYcgpYNgjJO3oJW7uJO8TkfeJGXL0EdK14FM1FEC/P+D4A+BDTsFaDR4zdZD3CxkLSQjpm0hYu0hYuwlqm4kZO0nZBdhF1ei7SzH2VtBTXsLZXQ9Stmcd53Y9RPmuh6gt2UzzoR10HHsCY9NpxoxCPB0VNO58GNmZvShLi4n2VbHqU3F7LMitnI9LbjlPD5q56JaTFDWiKT9IR8l2GnZuonH3NlpKHqPh8W2IDu6jv3g3ikMlRFpqsZw5gvnEPuKN50g1lRGqOEaw4hjTA63MitoZ721kuKOWXFcdY72NTAy0MC/rZkbexapTRWagmRFpO2OqbhyNp9FVHsHeUoazrRrJ2cM0793OwPEiHM0V5NX9LDoUXPKouR7W8XzSzBWPlMseCc+lrFz0yRkz9bAYVrMU03EhbWIpbWR5yMTVvOO+zcjIas7I+ZSayzkT10atrGT1zITFLMQVLCaUDNk7WUxpmIrKyPkGyLj7GPYJyfrvi7axoIxhj5CkrYeUvXctWrPuAdKOPsI/RPf941M1rCnzlL2XIaeAvE9M3icm4+pnLCQl5ejGq6ol5egmpGu9n+e7yLiEuGR1aDvPou0so6d8H2d3Pcy5Peup2LOBqj0bqSvZQuPBHbQdeRxt7XHGjEJioiaadj2M5NRu9FWHCPdVsexRcGc8xDtLaW7lPdyI6bga0rLq15IUN1O6/kds//cPcOwf/pryrQ9RseVhrHUVtOzajrnqNPdmclz1GrGUH+LVIQ9vj8dwVx7iilPJt89f4h9vXeXPr17jslvNZZ+Gz585z/d3rvPlixd5cybB93ef4a3FLL+9ucSvn5wnLe1g31//B/b+b/+e4r/+j+z8T/8Tu/7zv6Nx12Y8ndVkVT3M2iRcj5m5ETXybNLCtaCKy14pNyJ65mxCpuxC5gMKzsf1rAzbuJAxszJs5XLOzuW8lct5M+dTGs6nNFzOm1nNmVhKqpmJSFkZNnI+qWYiKOLisInpmOI+lYvJ+cVk1y5PgjKGnAIGzZ3ETB33a+Y2krYehpwCIoY2vMp6PIq6Qi2uqCOsbyVp62HQ3EnK3stYUMZkRMlIQMJkVE7c2oF54CxhQ4H6B82dZFxCcl4JXmUT+p5zWAfqkTQcp7xoA6W7160BXl20idrizTTu3460bD+jhgHGjQN0HdiG4Mij6KsP4e8uZ9Y6wAtZF+8sprk7E+XpuJmrQS1XgwZWfDqstac48fd/zcEf/RUH//Z/oeaxDcTlPUjPHcLVVc2t6SS35xKkVG3cno5y73yKQXEtP5tP8M8f3obf3YOv3+fdaxO8vpyFP/4Cvn6f/+/Ld/nm7lP8t9+9zT+9+yL/9dev8d8+eoMbCTf7//o/su9//w+cfuhHNO/cQvX2h2javQVnazlpWQeTRiFPxW28mHHzbMrK1aCKGxENF30Kxoy9LPjlzPjlnE8ZWRmxszxs4fKIg0vZgmN0ZdjEfEzO8pCO1ZyJS1kDC3ElczEZK1kDkwEhc4MKLmQMjAXF5P1Ccl4R+YCU4YCMB3JeEcMeISl771qnLKBpIqhtZsgpIOcVEda34pRWr9XfzvtqfdDcyaC5k4S1m2FPYWIm7xMzm1AzFpLgVlQRt3YyHpIz5BSQcQnJuIT4VM3ou0uxi+pRtp6mct8mzu1ZR8Xe9VTuWU/F7nVU7VlPw76t9J/ey5C6h0WvBumZPTTvWYeitJhATznTln6eTtt5eyHFWzNRnk85uOxTs2STcN6hYMYgYljWhfDQLo793X+mfOtPcHZXo6w+jLntLEsRPU+Nehl3CrmWtfHyfJhpn5jnZyL8P5++Cd/9iv/62V3uXp/g9qVh/vvXP+e//+kD/t9v3+dPv3yJ//Kr2/zzL1/h/3rnBb5//SaBrhpK/td/R/Nj67FWn2RUKcDdUs7A0d0Yq48T7W9g3i7jmbSTF7IebsSMXPYpuBk3Mu+WMm4RsBhWMxtWsZg0cHHYxvmMmcujLpbvGzoXExpmYwouZg1cGjaxkjOzlNSwkFCxlNKSsXexkNAwFVGQdRdy95Czn3xARi4o54Ehp4C0o2+NxkO6FjyKOvzqRpK2HpK2nrXeuUNShVVYjkNShV/dSMTQtgZ41j3AaEDKiE/CVEzBZFROwtZBzjvAeFBO1j3AsEdMxiUkZurCLWvEr2rDLKii/sg2zu19iPK9D1NVtJ7Kveuo3ruepgNb6Tm2k7C4mfMBPb6eCtr3b0Fw5FHcnWeZMPXyzJCDtxdT3J2K8EzcwkWnjDljP7OGfnLSNkYV3Uwoe/G3lNO7bzsDRx6lfPOP6TqwjTmnjCWfkry+k8tJI9czVs6HVbwyE+Of3r/F9+88z/fvPMfPb8zwzvUp/u/fvMZ/+f09/vmzu/zTB6/yXz64zfdv3OS7125wM+nixI//E43bf4qn7jQzmn6ueY2Mq3vxdVTgaStjsL+BZa+GZzJunkpYWfWrWfWruBbVM+0UM+WWsRDRMT+oZyFpYnHIwtKQhdW8i4tDNi6kzUzHlMwlNCxnTVzMWVjOmlhIarmQMTITU5Jx9bGQ0hW6o+6BQpp1DpALyMgFFTww7BGu5e+krYeIoa0wzfKvSq2Apmmtq+ZR1BHUNq/l74S1myGngLGgbE38TUblZDx9pBxdTIQLVJ/3iRn2iBlyDpCyC0g7hPiUbdhFdTQde4SyvQ9TsXcdNSUbqSpaT/Xe9dTv20z74UewdZSRNQrIGfroOfooLcUbsDQdI6tu4+aQnTfnE7w9m+D2sJdVt4I5fR9z+n7GFR0FO7Gggby4laHeeqyl+6h88G8o/fFfYTq3H2ftMTqeeBDd2SJG5K04ag8zIm3nZ7koL6X9PB11cC1g4qVMgLdmM3x6Y4lfrUzx5myGewvDPJNw80LGQ+XGH3P8R3+Fs+ooi7oBbvqMXLYqmDcIGVV1k5W0MqLsYsEp49qgmZspB1ciBi6H9VzwKhi3i5jyKZkJa5iO6ZhJGJmK65lNmphPmriQtjITUjEZljE7qCqYBrMmltJ6FlM6pqMKktZORv0iJsNy8l4xOY+IvE9K3ish55ORDykLlJ51DxC3dP0bSo+ZOtZyr1/diEtWg0dRtxb9EUPb2knZexnxSxgNSMn7xEzFFMTMbYQNzeR8wrW/pR39DDkHyLiExC0CPPJWXNJm2k7upHT3w5TvWU910Uaq9m6keu9G6vdtpa5oE7Ly/cTkrYxYBjA2nqBh90MoyvaSkDWyGtVxZyrCu/MpfjYS4KpXzZyul1ltL7OabkZFzaS6qoi3l5Nqr2Sir5lsezXmo3sRPraBrs1/j+HwLsQ7N9G5+Scoi7bjOXWQ0bZ6xjoaGe9qItday0hnAxN9reS7mxjpaSbf28xwfwuT8h6Uh5/gzN/8z7grjrGo6uPFsJVXY3au2+Ss2GQs2aRM6wXMmoVcCep5OuXkWszMatjA9UELix4FE24Zk0EVkxENEzEdU3EDE4OFn3NJE0tJM9NBFdMhBYsJPRdSRi6kjSzGdSynTWsmz6mgjLxHxHhAwbC7APhoUEE+ICcfVP0LpUeN7Wul1w+i7IeHwKOoW2uj2sWVa7//cHsW1reuRXzWPcBYSIpbUY1VdI6IsZVBcydDTsG/ArsHt7wJl7QZr6KN9lO7ObvrIaqKNxXALtpE9d6CWq/es562I4/i6q1mzCYirmyj/dBWeo9uJyioZMYp4ukhB3en4tzJBbnm0zCn62Va2cm0ooM5ZSdjAw2k2s8RbywlUn2GRGM5Y91N5NrqSNaXcV7cy0RHE4FTR1mR9POcVs0rZiPvhYP8Npvm3UiQ19wOXjQbeMag4YN0gp+nBlmS9vGMXY/zxH4Ga8+wqhXxasjGnaidW0ETL/r1PB+xcNmjYcbQz7xFxM24jZtJJyshPVeiZi5HjEw7pcyEtEzFDEwOGphOmplJW5gdsjI/ZONC1slSysZMRMtMSFkYhkibWE6bmI9puJAyMqhvI2PrZS6qJu8WMxFUMuwWk/fJGAsqGQmoGAlpeCDt6GPIKSBp61nrh/9QZ/+Q1/814FZhOTZRxZqI8yrr11ghrG+9D7gEv6Yei7CUmLl9jfqHPWIS1l48ikac0gY88jbsogb6yvdTuvNhynato3LPBmruA15bvJm64k3U7t2ArukkWUMPo1YR2voj1O3+B9SVJaQUzSwH1TyfcPJczMaKU860qpNJWRtTshamJM1MiRrJdVUSazyLp+oUvupTROrKyLTWMTfQw7JUxCWJiImWJua6OrjU081TIhHXBwa4OtDPTamUFzQaXnc6eMmg4yWTgZsqBRMt9cx2tfK0XsHzFg23PEZuh638LGbjlZCRWyEDryQc3AybWLKKmTUOsOrTsOxVsxo2ciPlZM4lZ9wiZCqkZSSkYTSiZTJhYjptYXbIxkzKwuKQnamwjon7S3PPJw1cSJm4OGThQsrEdEhJ3NBB1i5g0i9n1Cdl1CdbAzzvU5APqBgNa3ngh05Zyt5DzNROQNNYGEHWF0aQY6ZOHJJq7OIqnNJa7OJq7OJqnNIaHJIa3PI6/OqmNdU+HpIzEZaTsnczaOkgZu5Yu0XLuoVEDO245XU4JLU4xPU4xA2Ye6so3f0wJx79CWU/1ONFm6gq2kRN0QbqijYgKS8hJK4nZ+wjLKqnqehhmvc+hKfjDIsuCS8k7LwYd3DZqWBe18eCro8peRu5vhryglqyXRXEWs7iKD+C5cw+PBXHiNWVMt7dwqpSwlM6FZelIi709XJZIOCqoJ8L7R3MNDSSK69goraW6YYG5ltbWRH0cVHQy1WJkFdsJl73Ongz6OKNsIvbIRuvBC28HDBxJ2bjTsbDzaiJZYeERbOYBbOIS24V1yMmln0aRg29LPo1TMcMZPwKsgEVEwkTkykLUwkzMykr03EzQy4pQw4xi3Er8zETS3ELkwEVS0kTKUsvWccAEwElw04xebeEvFdaOD4ZOY+cvE/JWEjHA4Xo6yJu7SBqaiWgbSCoa16j9JCuDauwEru4Bru4DruoDqekAbe8AY+iiaC2jaixg5S9h6x7gImwgpxHhE/VsNZ5i1u61tgiZmonrG/Fo2zAp2rGJa3Ho2imav8mjj3yd5x8/KecfuJBKkq2UFmyhcq962m8f5mibzxGXNHCqLEPXfUB6h//MeITj5KVNfJMxMSdrJdngkZWrBKWzSJmVd2MiZoYGWgg3VVJvO0c4fpT+KuO4q88QrTmJLnWauYFbayIe7ks6eeKuJ8bcjnPqTU8p9HyisnMKyYLz2u0PK/R8obTzbvBEG/5fLwV8HE34OV1v4fbXjuveG3c8tu4FbRxO+ri9aSPO1kfT8VMrLoUXPfpuOJWczNk4umohQl9L9M2EUsRPfmgmmxIw0jMwNigkcmEham4hfkhJyNBHTHrADmvhtXhCJcyAa6OhVnNe3lyMkDM0EnK2k/OIyfnkpP3ysl6JIz45YUI9yoYD2mZjpkKlJ60dRM1tRLSN+FT1xHQFFR62iEgrG/HLq7GIanBKanHKWnEI2/Cp2rGr24hYui4L/AKLdT8/XLAq6wvTLN6BtY6doPmTpK2nvuaoYNBcw9xSy9ZlwRB1X5OPPYTjj/6E87seojy4s1U799GVdFGqvY8TG3ROsTlxYREdYyZBESENYhOPErD4z/BUnOQ8xYhz0bNXPOouGgRc8kq4aJFzAVDPxOSFpId5STazhFvKSVYe5xwzTHidWfINlUy2dnAYl8bF/t7uCzp57pcyk2limc1Wu44HNz1+XnT4+Utv597/gBvB4K8F4lw1+/ltsvOi3YjL9gMvOg08bLPwu2Ik9fiHl5Permd9nBryMWLCTvPxWw8E7HwbNTKql9HWtHOjEfBbFjHaFTPVMbBdNbFeMLC1dlBbiykWJ0Ikw9oyfqUPLOY5eULE7y4NMKNyUHuXB5lJeciqG4hou8k75Ez4lGS88rJeCTk/HKGfTKGfQrGInqm45YC4HFrFxFjCyF9E35NPSFd81oHLahtvU/jBcBd0ia8ihb86hZCunaixs61/824+hkPyRkLytZ67T9EdsLaff8h6itYmuwC4pY+sm4xQw4xytZTlBWtp3TPOsqLN1JWvKkQ5Xs2UrN3A3UlG2k7vA1F1QEG5c1MmPsJC6oRHN2O6OgjxHurWHHKuWSXMq/vY8k0wGWHnKsOOfPqbtJdlQy2lpJsKyNad5JI9XHidWcYbq5isquR+b42lgSdXBzo4ZJIwFW5lBsqbphe4gAAIABJREFUBc+b9LxoMXLLbuGO28ktu4WXrWZuu+y84rDyssPMy04zt9xmXvaauRWwcTvq5LWEh9dSXu6k3NwZ8vBq2s2zESs3gkYu+/WMGPqYcMpYjFs4n3Uyk3FxaWaQ5ckoFyciPLsywnOXRlgeCTJol5AL6Li1OsnPLs9x+/I0N2cTPD03SNLWR8ouIOsWMxnWkvcoybpl/wpwBcM+BeMRPdNxKw9Eje2E9C0EdA0EtA341HUE7299KCj0BiwDFWuUXojwZgKaVsL6DmKmLuKWLtKOPrLugfu1uJS4pZuIoYOwvp2YqYuYqYuwvp2IoeN+x01E2jFA0iYgbRdhFlRRXryBsqINlBdvonTPBsqKNlGxZyO1xZtoPLCF6j0P03ZwK67uckZNAnKaLpytp2nd+xDS448xru5gwTzAtKaLWU0PF80irjoVXLbLmFV0kOmoJNNeQbz+NLHaU6QazpFprGCsrZa53lbme9uZ72njgqiPFbmYVYWEp01aXrSbeclp4VWPg1e9Dm65bLzitnHHbeMFm4FnLRqet+u45bdwJ+rk1ZiT23End5JufpZycTvh5OWEg+djNm5Grcw5FSQ03Yx4lCyP+FmZjjI77GNlLsmFiShPXchzZS7FlbkUMykXYZOImaSL5y6M8NzCCE/PZnh+KcNyxolloIK8T8qIT86oT0neoyTnUzLklTIcUJD1K8h6lUzETMylnPcB1zXjU9fhVdXiUdYQ0jUXlvgY23HJ6taEmlVYg1Ncj1vWhEfRiE/VTEhXqMXjlk7Sjj7yPjFpxwCD5h4Gzd2E9R2E9R1EDJ2EdO245fV4lU3ELb0MOYVEjV0MOcT4lK1UH9hCWVEB9LO711NWtImyPRuoLt5EXclmaos30XH0USytp8louhjR95JWtCI5vZOGx3+Crf4IcUE16f+/tPv6ajy/9j7P+BzPObY7VADlDEIgJJFzDlVEEUSSRBBCIgohEDlKiJxzUZEKULm62h3sdne7s8NzfOIz65mLWfPHvOeC6nL7jOdqLvb6abEW3Lz02Xvz+30R3fXc9tg59zt5OdnDp0EfH0z2ctNp4ajFzKG1gkNbBTfb6rhpr+VeWwOPOm087GzhzNnCI1cb5z0dPOnr5PVwP7+Z9PO7mVG+nJ/g28VZvlua45vgNL+fGeGTkX4+Gu7jd9NDfLs8zQ+b83yzPs03m9P8sDvHn/YC/GkvwDfbc3y5O8+HaxMcj7vZn+rhZNnPy9NNXj7c5dnpNo/vbnDvMMRvn9/i9aN9nt/d4tbmDMfL43z08IDPHt/giyc3eX60zAe3VtmYcOJrLeYw2MNxyMPBfB8ni0McLw9eQC/5OF7ycWttjHtb0zzaDxK2NmpjxX/Ryn8EXxu1vn2keZHsGqa7q5norGKm62K7nu+3EBxoYGmo+e0hiIuZfYG4NtrK9pSTtdFWlodtLA1ZWfHbCQ40vPk+65sO4WBvppvloRaai0yYM7RUpkVRkRpFeUokFckazKlazG9+TbPnxuGpymLBWc1mXxN7AzaCrWW48mPpKzYx11TISms5R90N3PO28GTUxW8XhvlyZZyPpvo5623htqOO24467jjqudvewP2OZh522nnkauVxl4PzbgcvB7v59egAH72pTyd8fDbt5+uFKb5dnOHrwCSfTw3x6Wg/n4x5+HzOzzcrU3y3Mc1XaxN8tT7Bt7sz/LA7x78cL/Lnk2U+353n9lQ3a147t5dHON2d58PzQ87ubPDswR5PTnf44OyIbz4557cv7nJ2ss5eaIzz4zW+fHnK58/u8MWz2zy9sczp1hSBwWYme6rZD/ZwtOhhP9jHjaUhjpYGOV4e4nhpiJPVUe5tT/NwP8ij/QXCloebWPQ1sOT/CfiYla2JNkKD9Ux3m5npqWamp4bxziomXdXMdNcx11dHaLCJFb+NtdEWtiYvEn4Y6GJ5yEZwoIHlIRuLvmZC3iaCA40s+qwsDDQS8DQQGmxibbSV1ZEWVoZbWR914K7JpjpTR3WmDnOG7k3CI6lMiaIqJZLaNC0NmTG05hkZqskl6Khiu7+Zrb5Gxupzac+OYrA8hfmmQva66jjpa+J2n5UXY118uzHDn3eCvPa7OXU18qjbyqPuFh667Zw6rZx1tfKkp4OXA128GujiI7+H3477+HRskN+MDfL5lJ8vZ0b5dmGaH5bm+C40zTeBcb6aH+PL+VG+Ck3w3eo0321O89X6OL9fH+frnWl+2J/jj0dBvjte4IO1cY4n3WyMObm3NcPT2+t8dH7M4zvbPDnd58HJBr9+eoffvX7Eb57f49b2Ahtzfj58eMJ3Hz/j29fnfPzgkCfHy2zN9jE/2MzKeBuHS33sBXs4XPRwvDTE0ZKPo+Uhbqz6ubM1xenuHI8OQpwdLhL24xm1v0n42MXxpeCAhenuqrfgky4zU+5aprtqme2t/Qm4na3J1jd32zrZnuxk1d/Gqr+NxUE7Ia+NkNfKotfG4uBFLflsb+a7g5XhVlb9bfTW51ObHUNdTiyWXAPmDB2VaVoqUqKoSomiLk138dg0Q0dXaSqT1ussuWpZ67YwaSuisyCW7mIjYzVZrLWXc9zTwL6jmhNXPZ/MDPDnrXm+Cvj5cMjFk94WHne38Li3nUfdrZz3OnjqcfPa7+G3E4N8PjXEF9PDfDnj59vgBD+EpvlhcZr/sRbg37cW+betEH9en+ePq7P8sDLLD2uz/GFrju935vhmc5Kvtib5Zm+a7w9m+fZglt8fzfMg0M/aUAu7c/3c3Z7jgwf7nB2v8fLeAU9PD7l7vMGrs5t8+uIBn716xNHqPHuL03x0fodvPnrO1x+e8+r2Fvd35lgYamNl3MH+Qg/7Cz3sBro5CHk4WhzkaGmIo+Vhbq6P82B/nof7CzzYC/L4eJmw1REry3+npW+9OaV6gX1R0921zPbUM9Pz98Db3mzjHezOuFgbaWNtpI3lITtLPhsLA03M9dUT8DQSGrQRGrSyMNjE2lgbayPtrAy30ldfQG1WDA15BpoLE6nLjqMmM4bKVC3m1GjqM2LfgMfQmmfAU5nJlPU6i64aFt1mhuuyac/S0ltkZKwyg2Xrdbbbqjhw1PB4yMkXQT//vrPAH1aneeXr5IXXyXNvJ0/6O3jqcfJisItfjw3w2YSPb2ZH+SE4yQ8Lk/xpcYa/rAX4y1qA/9ha5H/tr/N/HKzxr9sh/rg2xw8rM/xhfY4/7Qb44/48321P883OJN/tz/DD8Txf7E3y0fY4+2PthLxWTlZH+fXZAZ88OeHeziKv7x/z6uwmr5/c4aPnp3zy4gG/efGAe3trnJ/s8Or0iM+eP+C3T+/w9MYqh6FhJnvqWZvsYGe+i+15N3vBPvYX+tlf8HK0PMzh4jC31ic4Owpxdhj6a8KX3rT0kK+OkK+OxSELqyMXM/lH8KmuKqa7zUz31DLbV89sv4U5j4WlYSsb422sj7WwNdHK/qyTzfEWVvxNbE3YWB1tIDBYRWi4loWhOuYHLQSHrMx77QSHHSyMOFmb7GZ7qo/t8S4GLMWYkyNpyomjKdeANc9IQ66B2iw91WnRF/fYUzXUpmtoytbivBaPty6LMVsRcx1VzDgqcF9LxJEbR1dhPOPVeay2mdloq+a2p41Xsx6+3pzk+51Zvl4Z4zczHl773bwYcPBy0MnLYRcfjHTx+aSHb2Z8fDMzxLezw/wpNMG/rs7yX5tB/ud2iP+5HeK/tkL8x2aIf9tc4I/LM3y/MsUfNmf48+4832xO8t3OFN/vz/D1jVlebfl4tOJhzW9jc9rN6f48Lx/s8uT2Jucna3x4dsTp0SbPH9ziw6f3eP3kLo/v7HH/cJXXj4758OyY3728y/nRIgdBL7N9jUz21LEz281+oJ/duV4Ogl6OQkMcLgxxGBrhZHWS050Ajw6WODtc4sFeiDub84QtjVx8msPikOVt/fgXoQteC9PdZqa6qpjqMjPVU81MXx1z/RYC3npW/FY2J9pYH7WxOd7C7pSD9REr6yMN7ExZ2ZpsYtFvZtZbQXC4lpWJFlYnnWzM9LMT8rO/MsZO0Mfe7CCbo1301xRSkxSFLceAPddIW0E8tvx4GnON1GXoqE65eHRqydDQmBVFS2EsrvJ4emvSGbGWMO2oot+cTWdxIs58E57racw0XmfBWsFhr50HY25ezPfz2eoo32/N8NXSKJ9O9PHK28EzTxtPB9p45m3nY7+bz0Z7+Gy0ly8nPfwQHOHf1uf4r50F/nMrwL+sTPM/lqf4y+o8f1kLvAX/bmWC7zem+OPePH86DPDnG0G+OJzifN3L8ZyLnWkXtzYmeHSywvndTQ42pnl9fsDz+zvcPVjnw8f3+eT5A3799C53dpd4fHOT1w8P+Pj8iE/OD7m5Ps72bDdjbjNBn42DBS8HwUH25r3szQ9yuODnxtIoN5YnuLMV4PxolfOjNR4dLHOyOs3NtVnClkea327pi0MWlobrWfZfnDuf76+5SHa3+QK86+IBSqC/loUBC6sjVjYnWtgYs7M5fpHytRErqz4LG6NNrPgtBH01BHx1hEasLIy2M+Sup6/dgttWhafdTG9zKe7qfPpqCmgrTKIuOQpbdhwteUbaiuJpKYjHXhBPU46eunQtNalq6tI01KWpaMiKpLUols6yRAYs+Yy3lOOrL6S3IpPOwkRcefH4yrOZqClk0VbFXncTp8MOXs14+GJpnK8Wx/lsystLr5PzHjsPuqw86rHzzOPgg8FOPhnt5fezw3wfmuBPq7P8+3aI/9hZ5C8bAf68NsefV+f408oc3y9P83VonC9Do3y7PsW/HIf442GAf7m5xMdb4yz1WmgriWfBa+fxjVU+ODvk/skam8tjvHpyyOO7m7x8eMIXHz7hdx+c8dmLB5yfbPLlq1N+++wmn54fcXa4wOZsD2uTHXjsJcx7bezOezgM+TgMDbE772V7doCDhSFurExybzvI4+M1zg5XuLcdYH9hlLtbAcKW/E0sDze+bemro02sjDQTHKhjurvqbTuf6qpipttMoL+GQH8NQU8ty8NNrI/ZL86jvznutDnRxsZoC+sjdpaGm1jwNREatjPcWcv1bAPyq7/ivZ//jPd+HobkF2GIfh5G1DthlMRKsKREUZ8UiTUzlpY8A21FJloKjLQVJdKSb6QpS4clPZKaFBU1KUrq0lQ05WhpKTTgrsxgsL6IofpivNX5dF1Lw12cSn9pJv7qQibqSlhuNXPSZ+PhkJPXUx4+nh7k1yO9PO938KirhftuGw+67TwdcPLC5+LjcQ9fzI/wZXCMH1Zn+c+jdf7P27v859E6f94M8vvAOF8vTvH9+hzfrc/yzdoMP+wG+GE/wLe7s3yxMc7j+QGG6gpR/GMYcaJLDDosPLt/wOFWgJ21ac4f7HLzIMQnz0757MVDPjq7xfmNDR4eLPHJ2SGvT3d4fW+Tk+URVsedhPyt9NuuERxqZXOml92Al535AXbmvGzPeTleGuPu1jwP9pd5fLzOw4Nlbm/Oc393kee3tglbeHP0OOitIeitYX28mfVxGwFPLZPuCibdlUx3m5nsqmK2p5oFz8XJl3lPLaHBBtZGW9iY7GBzxsn2rIuDYB97872sjXWwPd3N0ogTd+M10mJliN79Ge/8LIxf/G9hvP8PYQj/MQxD+D9TblRgy4qjPjmK+hQNtuxY2ouMOK7F05JvwFEYT3uBCXtuHE1ZWizpGurSLpJuSddgyYyipTAeV1k6fdW59Jlz6SxJpaMwkc6iZAYqc/CZ85hrLmPX1cBJn53Hw128HO3luc/NeV87j3raeNjTyoOeVs4GOnjic/HJ7BDfrc/zw9YC/3q0zv/16IT/+/wW/35jk2/WZvndwhhfLk7y3WaAb7fm+Xprnj8chvhuL8C3+wHOxzp5NN3PVHMlyn8IIzwsDJ3gXdrryznYDPLg9g6H+ws8eXTA5x+c8fnLR3z78VNe3dvn8xd3+P2ru3z+/Cafnu1xvDTEyqiTmYFmxnss7Aa97Id87IeG2F8Y5nBxhP0FPzfXpjjdDXF/f4X7+yvc2Q5xY22OJze3eX5nj7Cg10Jo0EJgoJq5/ipWRxtZG7My31/DhKuMCVfF2xk+01tNcMBCaLCR+QELIb+NzRkXG9NuNma7WZ1ysTnXx8ZMH/ODDsZ7bLRWF5KqU6C6+iuu/uIfeOdnYbz38zAir/6Ka0YFLfkm7NkGmlKjaUqJoilFgy0zmrYCAx0l8XQWx+MuSaTrWhKukgTaCg00ZWmpz4iiLj2KmjQNNWmRWDJisecn0nEtjY6SNNqKkmnJS8CeG4+jKJnu8mzGGq4Raq1ir8vK6WAnj/09PB/p44W/l8c+N2eDLh4Pd/N4pIfHo728mvHx9fYCfzhc4z/u7fO/zm7yr7d3+eFghd+vz/P5yjSfr8zw5fosv12Z5KudAN8fLPLHGyt8vjXF6XA7Dyd62eiyU6FXEfnPPyc8LIwr//QP2GrLOD895ORgmVdPbvHVJ8/54oNzfvfyIR/cP+Q3T2/x0cMDPry/y8P9AJszvSz625n2NBEa6WA3OMDhov8t9q31Ke5sznJnc4672yEeHKxyurfMzY0AJ+vzPLm5zdNb238FD3prCAxUszJy8Tx8ttfMpLuCCddFTboqme6pYWGomTlPA8vjDvYXB9mc9xAY68TfZ8VWl09JroGMeA1xGiHRsitESa6gEV5GFfE+V//pZ8gv/YoMQyT1hak4r6dhzzZgzdBhTdXSlKyhOUWNPSsaR5EBd2kSfaXJeMpS6C9Ppac0BVdJPLacWBqzdG9m+psTMqk66jMNWPMSaSlIprUwBWteIs25CdjzEmkvTqO3Mpex+hIW22o46G3ldKiLs5Feno4N8HTcw/NpH68Do7yY8/N02sezGR+frEzzm9VZvtpb5rujdb7cWeR3m0E+XZ7h5Zyfj5cm+XI7yBfbAb47WuL742V+uznNg1EXJwN2bvscHHnaWWitpSndhPbdX3IpLIwo0RXKCzLptNURnBzk7M4hnzx/xEdPTvny10/44vUZX3zwgA/u77E63c/yRDeLY50E/A52gl72FofZDQ2zNT/I1twgxytT3NtZ4HRvkdP9FU73Vrmzs8ytrUVO99d4enufxzd3CQsOWljw1hEYMLMwWMvGhI21USuzvWamuy/m96SrgskuM+Pd1cwPtzA/3MbiVBczwx20N1+npiKLovwEYrRirlz+OZff/znCiHeQi66iEoejEUagEV4hVhpOcXIM9UUpNObHY8uKw54ZS2tmLPbUKJqT1FhT1dgztXQUGempSMFbkYq3PIWB8hT6y1LoLk2moziBlgITjdl66jJ01KTHUJsWS126nvpsI80FidiLUrAVJmMtSHpbjusZDNQUMFJ/nYXWWnZ6WrjhcXJ/pI8HYx7Opn08C47xeHaYx3N+ngXH+GBpisdzfp4vjPPx+jwfbwT4YGmKp/MjnM/4+HB5kt9tB/l8N8jnOwFeL41yb8TFscfOyUALd7wtHHXXs9VpYc5eQ22KAc27/4T6yruY1HKSYyIxqmWkx8dSXVpEc20FrpZ6QlM+ntw95PRwheUZL1sLfub9TpYnu9lbHGZnYYjt4BA7C8PsLAxzY22GuzsLnO4tcW9vhTs7y9zdXeHB4QZPbu7x5NYej462/go+7zET8tWxOWFjebjxTTsvY6qrinFnGdPd1cz77Iz2NeG0XcdSmUF6opoYrZCkRC2paXEo1UIuh/8KqUqEVCVGJhchFYUjDb9MlOgqSZESqrLiaCw00ZQbR0dBAo4cA63pOtozdLSla7Emq7GmR9Ker6erLAlvRQqDZckMlqcwWJmOtzoLjzmbrvIM2oqTac4zUZ9jpD7TcFHZJhpy42kqSMJalIKtOBVbUQqN+YnYilJwVmTjKsvCV1PMnL2GDbedm/5ebo/2czrl42xuhEezfh7ODPNo1s/ThQkezgzzYGaYx4ExngQnuDcxyN1xDw+nB3m2MMarpQleL0/wPDjM/fEejvrt3Bhs4/awg7veZo5dlWx1VLHZ1URveS6pcgFxonCSI9UkalToJGLUYiHCq+8jE4UjE1xCLnwfU7ScjAQttWXZeDqbGOmzszbTx/7yCEerY+wvjXKwPM6N9Wlubwe4t7vI3d1FTjYXONkMcXqwzvmtXc5Odji/ucuD4y3Cgt56Qt6Lpe3iLlszs/01DLWX4HeWMuquYry7msleCwMdZiqLU0gxKTHpZehjZRiNatLSTSQmxyGVCxCKryKSChCIIpBKpSjkcmQCAYrwyyRFyqjJNtFyLQl7gR5Hnh5nXhyuvDic2bG0pWmxp0ZiTY+kNffi/5EPlKcwXJGG35zBaG0uo5Z8RhoK8dbk0lWWTkdJMi0F8TRmxtGYaaAhy4Al00BdtoGm/MQL8OJUGgsSachLwFqUgrUgCdf1LIYtpcy21LLe08beoJub4wPcmxnmdHaE45E+Nvs72Pd1cTLm4daElxujfRwOd7PT38ENfzen0x7uz3h4MO3h0cwAD6b6OJ/1cGfIwXG/ldu+du566jlxl7HfWcGmu4YpaznX49ToLr9DklpBkjYKg0ZNrFqNPioSrUpOTKQCtUyI4NIvuPLOPyK8/M9Eq0QUZiZQcz2DTlsVs6NdbC2Nc7wV5PRojfs31rlzsMLN3RCH6wGOthY5v73Pi4c3eXhzl7Pb+5zd2idsvq+O0EA9Ia+F6e5KQsNNBIaamOirY6THgr+vkdEBO/aGQjJSdcTplcTqlcSZIjEk6jAkxpCQbCDOpEMmFSITRyAThyMVCZCIJEhEcqQCGbIrQqJFQkoS9bQUp2HPj6OjOIbOwhg683U4s6Npz9DSnqnDkaOnPT8OZ0kC/eWpDJuzGLPkMdFQwHh9PmP1+QzXZOOrymSgPI2u4kRacw1Ys+NoyoylMVNPfVYcDTlGbMWp2EszaC5JpakoCVtREvaCRFoLk3CVZtJnzmewroSZthpW+1rY8naw5XOz2NvKlMPCqK2KOWc9cw4L8x11BDrqCHbUsTfUwd2ZHm5PuLk32cW98U7ujnRwNtnF3UE7Jz31nHpt3O6t5th1jYPOMvbcZjZdFqyZBvRXf4lJLUEfpSJWq0GnVBItV6CTK4hRKolWKIhUyFFKxFx+9x2uvv8usdpIjLE6TPoYcjKTsdSWMeR1c7C3xMP7+9y9vcmNo0VuHKxw+2iLZw9v8fLxPc5Pb3B+eoOnD24SNtdXx0xvDbMDFhaGbSxNtDM7ZGekr5E+Zw3NlgKK8+MxGeTEREuI1SsxxGsxJsUSk6BFZ4rGkBSHKTEOtVqOTCJELolAJhYiFUmQiBRIhQqkV0XIL10iWS2hNiue1sJ4HIUxdBTE4syLpTMnBkdmNI5MHR3Zehz5cbivJTJQmY6/Jpvx+nwmGgqYaChgsrGQcUseo3W5DFdn4SlLxV2STEdBAvYcA02ZeuozLtCbCpKwl6Rjv55OS2k6jrIM2q6nYitKoqUomc6yTLorc/HUFOJvKmOqtZpph4WJtlrGW2oYtFzHV3+NcVslo9YyJqxlzLaZ2Rywc2vcxcP5fs4CHs5me7k/5uSW185xj4Ub3RbuDli51VvDoauEvY7r7LnN7HQ34C7JIEl2FaNSgk4jJ1qjIkomI0oiRSuTE6NUEa1QolUq0cjlRFy+xHu//AVSkRBtVCQxOi2xMVHE6aPIyEigtvYajg4L7q5G+vptjPi7mZoYZGF+jMXgBGvLsxwfrPP8yV3CQj4boZFWAqPtBMadDPc309ZUTGVpKhmpWmJixMTESImJlWEwaTDEa4mN1xKTGI02IRptfDS6xBhMKSZ0ei0KpQS5TIBMKkIqliIRyS9SflWI5L33iI64THGijpbiZNoL43AWGnAXGOnKN9KZGUt7ejTtGTo6cvT0XEtiyJzFaF0u4/X5TDUVMd1czIy15O11qrEQf20OA5VZ9JSm0VGQgC3HQGOWnrr0WOpzjDQXJmMvSaetLBNnVTad5hw6KjJxlGXQZc6jv64IT20h3voSxlqqmHM1MdvZxEKXlYWuZpZ77ax5WlnsamTRXc9qTxOHI53cn+3jPOjlbN7D47l+zqe7uT3YwlGPhaNuCzd7GzjuqmLHUchmWzHbnVVsdTXSX5lPqlJAnFyETqMgRhtJtFyBViojRqFEr9YQq1ITKZejkcuQi0Vcee9dIq5eRqVWEq2LJCpaRXSMGr0hkoRkHZnZRpLTdRjiVRdOBi0GQySxsSriE3QUFWXhcDQTNt3fyGhvE+6OWmqqcsjJMZKUFIUxXo0hIZK4hCj0CVqijRp0pkiijWoiDWqik3ToUuOITolFbdKiTzGiT4xDrVUhl4uRy8RIJRfgMqEceYQYRXgE8svvYlAIqMo0YM830ZpnwpFnuvjo7Ow4nJkxOLNicecZGChLZbQ2l3FLPpMNBcw0lzBnu06gpYxgSxmh9gqCreUX6DU5DFRk4C5Ooj3PhD0njsasOBqzDVgLEmm7nk5rWQat5Rk4q3PpqMrGUZmJy5yLp6GEwcbr+BqvM9leQ6jHRrDLytqAgx2/m/1RN9uD7az2NbM1YGdvqJ07Uz08nPPwODDAs5CPZ8EBHs/0cMfXymF3Hcc9Fo67LRy4K9juKGLLcZ0tt5k1lwWPuYg0lRi9TIROrSRao0YrV7xNuE6hRCuTo5HJUMmkqOUyhFevcPnSe0RIIlBHq1Bq5ah1SrRxGqINKmJMGmLiVcTGX7yOilEQFaMkMlqOJlqONlZFnElLWGWhiYKsOFIzDBiStBiTojEmx6BPisGYFkdcqoFIk5Yo00WaI40a1MZIIhN1RCbHEJkSiyZBR0yKkdhkE9o4HXKVDKlUhFQqQSaWIRPKUIikKIUCJJfeQ/L+O6RGK6jJMtCcG097YQrtOSY6suNw5xpwZcfRU2jCV57GeF0ek5Z8puoLmG0uIWArZaGlnMX2Slac1Sye3qZCAAAPr0lEQVQ7qgjYSpmsL2C4OhtPWRru4iQ6CuJpzTdhz0+grSiJjtJ02svSaavIxF1XQGd1Ls6qbFzmHHpq8um3FDPcXMZUe+2bVNvYHu5kb8TNwYiL4/Eujsdc3Jnp5f68h4fzHh5M9/J8wccHKyM8Cw5wOurksKeBXVc1+921HHbXse+uZLuzhE1nKeudZlZc9fRXFZIiFxIrFaGVS4lSKImSyogUS4h8gx4llRGlUKCSSVFKJQivXuHdd37JZdFlVDoVimgFUo0EeZQUVYyCKKOaaJMGrVGN1qhBo1cTGacmKk6NSqdAo1cRbYwkLD0litQ0PfFZiRgzEzBlJmBIN2FIj8eYkUBsqpHo5Di0iXq0CTqiTFFoTFFo4rVEJscSmRJLdIoBXYqJmCQjsQlGNLoopAopEpkEhUyOUixDIZIgjRAgCb+K+OoV5OHvkxmnwno9i7brWbTkJeHMS8SVZ8SVG0dvkQlvWRJjNTlMWvKZbihk3nqNhZYygvZSFtsqWGqvZKm9klBrOQHrdSYtBfirs+kvTaWzMJ6OwgQ6ipLoKEmm83o6HWXpdJpz6Gsopq++GE99Mf31xXRX5dJTlYu/qYyJFjNzHRZW+uxs+Rzs+Z0cjnZyPO7mdLafx4tDPFv282TBx9mshxfBQV4EfZzP9HLL18qOq4atziq2XGZ2XWa2O8tZc5aw7LjGUns5691NuK7nYBBcIlYqJkoqJVqlQS0SoxIIUYvEF9hvwNUyKQqJGIkggl/96p955+o7yKPkqHRqlNFKlNEKlDoFGr3yAtigRhOnQR0XiUqvRhmrQhmjQq5TINcpCUvJjCcpMwljVjJxGYkYs5KIy0hEn5FIXEYiulQT0ckGtEl6ohNiiDZp0RijUJui0STq0KYaiU42EZ1oJDbRhCEpAX2CCZU2CqlchkImQy2To5BIkYnEiIUihEIBIuEVouThFKbG0VpZSHtpNm0FibiKEukuTqC/NJHBimTGanOYqi9ktqn4LfRKh5kVh/kC3FHFaoeZdWcNi63lzDaVMFSVRXfxxc9ylSThvp5Gd3kmPeYc+uoK8TWV4rdVMNFSxUSLGX9jKT5LCaNNZUy3VDPTVs2Cu4F1j53doXYORpycjLt4HPLxfNnP49Agz5eGebEwxJNZD88Dgzye7eOmr4Wdrlq2XWa2XWa2XFWsOK6x0JpPsLWQZWcly+4GmrMS0YdfQi+TopUpiFKoUYskKCMEqIWii7RLpKilF9gKiRipUMA77/yS9yPeQxYpQ6FVXFyj5Cij5RfwWjnyKDly7QWuIkaFKvYCXxGjQhatIMyUmYwhMwV9ViqxGYnEZSWjz0wiNiOR2IwEotMMRKfEEZ2sJzZRT2x8DFpTNJHxOrSJemJSTcSkxBOTZCIuMR5jUjL6xHii4/SoNRoUMjkqqQylRIpMKkUskRIhliCQCBAKLqGRRVCWnYS9LJeWolScJcn0lqfiNacxVJPKeG02s/VFhGylLLdWsNJWyXpH9d/UZmctu+56tlx1rDiqmKovZKAsjZ5rSfRcT6WvIgOPOQdvXRGD9dcYbixlsqWauQ4LAWcDCx31zLfXEWirI+RsZNHVwFqfld2hdo7GOrkz3cNZ0MurjXFerIxwHhjg6cIgL4NDnE/18ni6jwfjbo76mthwmtnsrGLbXc22u5olRwmBljwCLUUsOauYaC6nVK8hLuISsVLJm1mteguuEoqIlEjRSKQoRWLkYhFysQipUMB77/6SSxHvIVWJkWtkSFUSZGopco0MZZQClVaFOlqNWqdGpVOh1KlQaBUotArUMWqUOiVh+sx0DDmZxGaloMtMQp+djD4rCX1mIvqsBGLTjcSmGohNNWBMMWJMjCMmPoboxFh0yQZiUuLRpyRgSEnClJiMMT4RncmAKTkJg8mARqVAIZGglMpQyBRI5SoEEjlXREKuCi8jiHgflfgSBUk6rMWpOK6l0G/OwN+QxUhjFuOWHOYailhqKWe1vYo1h5nl1grWHGa2XHVsuerY7Kxhs6OaHbeFbZeFoK2U4cos+q4n01+ewYA5G19tHmONpYw1lzPaWMpcWy2LriaWXE1s9LayN9DBdn8bO/3t7A85uTHRxe3pPu4HvDxZ9vNqfZyXa6M8X/bzbNHH06CXp9Mezqd6uT/q4uaAnb1uCxtOM1suM9vuajZdZhbaiphryWPOXkSgrRxXcSqZigiMoqvoRCI0IhlqsRy1UIIiPAKVQHgBLpagFIuRS0TIREIkggje+dU/cenqu0gVQmRKCXKlBLlKilwpQaVRoolSo45So45WoY5WodIqUUTKkWtkqLRKImM0hMVlphCXlUpMRiIxGYnos5LepDyRmIwEYtJM6FKNxKSZiEuLx5AWjz7VREyKgchEPVFJBmJS44lLS0SfkoAuwUhMvBFjciLxyYno9DHIFXIkYjFysRSFSIZCIEMqECEWCxAJriC68h46mYCCBB1tpdl464oYrs9nylrIdH0uC9Yi1hzlbHVWs+k0s+6oYNtpZtddy0GPhf0uC1vuWnZ76tnra2TDVcts0zUGytLwlKXhrcxiuC6fKWsps/YK5uwVLLTXsOKqZ727iT1vGzf8nZyMuLkz3sO9mX4eBgY5C/o4W/DxKOjl8aKPF6t+Xqz4ebbk40nQw+PJbs7GXBz3W9nprGXHVcteTy07rip2nBWstpaw0JzHfFMOQXsxEw3FlMepMAkvoxcJiBQIUAvEaERSVALh24RrxBI0kgtwSUQ4UoEAUfhV3n3nl1wRXEKmEiNRiJAoxMhVUmRKCQq1HIVGjjJSgSpKiUqrRBmlQBEpRxEpf9MBlITFZydhzE5Cn3kBHZeVjCE7hbisZGIzEolJT0CXlvDmGk9MegL6zCR06QlEJscRmRRHVLIBbarxYp6nmtAnJxATb0CfnIA+KQF1tBapTIpUKEZxVUhkhBh1hBi5WIhcIkYSHo48IpwYqYjC+FhaS7IZrr/OjK2M6YZ8QvZi1hwVbHfVsOmsYrvTzEFXLUe99Rz31XPYW89ubz27fQ0cDDSz09fAsrOa8bp8vBVpeMszGLUUMtdaQai9ksUOMyFHFSuuWjZ6Gtj12DjwtXJjpIO7U93cn+nnwcwAD+cGOAt6OV8Y5Cw4wNOlQc4XPNyb6eLuRCe3fTZueprYcVWz0VHFjruGo756dpwVbLZdZ7Ehh6WmPBabCwnaS+m5nkmGUkicMJxooZAooQiNUIxaKEURIXi7tGnEEtRiCXKhENHVK4gjwhFevcL77/2KK4JLSFUSJEoxEqUYmVr6d1r73wdXRikIi89JJj43BWNOKqbctLdlzEn9G/Sflj4z6e2c16YY0STqUSfEEpVivFj20pLQJZmISY5Hn5pITKIJrT4GlVKFTCBCESFCKRQhk4qQSIQIwq8iCQ9HeuUSmquXyI5W01qchb+hgilbKYHWUoJtZax31bLVXcemu4b93npueJs59jRy0Gthv7eB/f5GDr1WdvubWHPVMdt8jSFzFoMVmfhr8plvrWC5s4YVVy3LnTUsd9aw1mVhu7+ZPa/9Lfrt8W7uTvbxYNZzsaitjPA4NMiDuR5ujjnY99nY7W9gy1nJtsvMjsvMblcNe921HPTUsd1RyUbbdUINeSxZi5lrKmbQnEu5UYNe8D6xYhFakRitRIFGLEMpEL9d2DQi8cXGLhIjFwoRR4QjjghHcOUyl95/l3DRFcRvsCVK8Vv8H8F/ivsj9k/fCGEJeSkk5qURn5f+tky5aW+vf7vE/bV+RNemGFEnxKKKjyEyKY6Y9ARi05PQpSYQnZqALjUBffqbN4EhDrVajVwkQSyIQCSOQCQWIBKJEItESIQiZOERaMLDSVQqsORkMtpSzVJvI6GuOha76ljva2TL08i+18oNn43jwWYO+xs46GvkyNPMDZ+dQ6+NzS4Ls83XGKvNY9icg68yhxnrdVZctay6696ir7rr2OxtZMdjZc9r59jfzq0xN6fT/ZwFBjkLenk47+F0poeT0Xb2vM1s9NSx6jKz5ihn01nJflctx731HLhr2HVVs+msZKOjkiX7NZYcZsaaSmnMNJKqFBItuIxWLEYplKISy1GIZMgEEpQC4VtwlVCEUiBEJhAgFQoQR4QTcekSV6+8j0AagVAuRKwQva0f4X+K/lPsn34tLL4glYSCv8X+Me3xeekYslP+X+A/TfuPCf+xopIN6NITiclMRpuWgCY1nsgUE7rUBAxpyejjTag1GiRSISJpBEKpCLFUhlAiQySWIRHKkF0VIX3vKjEiMRXpJvzt1YQGWpnvaiDU08DmoI1dr5WDwWYOBps48jZx4rVxa6iVe6MObvvb2fdYWW43M91YzHhdAZMNJQRaK9628uXOGpac1Sx2mFnurGGjp4FtTzOHQ23cHHVxa6yb2xNd3Jns4vaEm2N/O7sDzex4GtnstbDSWcW608xWp5nDnjqOumvZ7axiz1XDuqOSFUcl89ZrBDoseOpLSY+UEisWoBEIUAgkSAVSxOESxOESJBESlAIxGqHoIt0/AZcJhYjCrxJ+6X0iwi8jlgsRygRvsUVv8P8e+I/YMrX0bYWZ8lMx5aeSkJ/xtn6KbsxJfYv+Y/33Fh+dakKbYkSbYryY6SkmotMTiUxLQJViRJUaT1RaAvr0ZIxpycQlxqOJ1iCWChBIhYgUCiIkcgRiBSKxEolQjiRcguRyOOrw98iIldNZd43ggIPF/hYWexvZHWphf9DK4WAzJ0M27gy1cW+4ndNRJ6ejTm77O9jqamDeWsp00zXmrOUsOqrftvDN3kbWu+vfpn3VXcdWXxMHvlaOhzs49HVw6GvnaLidk1Enh0Ot7A40sdVnYaOnjvWuWnZ7Gjjoqeewp47j3lr2XZXsdppZc5gJtlQwa69g1FZDZWYiMeJw1BERKIUiJAIJUrECiVCGOFyMVCBBKRSjFopQv8GWh0cgFwiRCgUIr15BcOUyQkE4YoUIoVyAUCZ4i/3TlP8I/9/rxxHw/wn+01n+4xL309n9I/Z/f61NMRKVbEKblkBkajzqFBORaQnospLRZyRjzEghKTuduAQDCpUUiVyKVKlGKFMikKoRStSIxApEAhkigRhZxFWE7/zvRIsvYSlMZ6TNQqjXysGwg0OfnaNBK7eG7NwdauXecDv3Rzq4P9rJ6aiLvZ5mQvYK5pvLmLeWs9pp4cDXysmok5NRJ8d+B3teO1t9TWz0NLDjsXI03P4G3PEW/MZIB8f+dvYHbWz3W9jstbDVW8+hx8Zxf9MFeHcNe85yNtvLCNnLmLVVMtFURX1uGjpxOJHCCNRiEWqp4uJ2s0SOXCRDGiFCLhBdLGz/DVwmECAV/BVcJIz4/w3+/wDo7COX2tY7WwAAAABJRU5ErkJggg==)
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Abstract - We consider the P||Cmax scheduling problem where the goal is to schedule n jobs on m identical parallel machines to minimize makespan. We revisit the famous Longest Processing Time (LPT) rule proposed by Graham in 1969. LPT requires to sort jobs in non-ascending order of processing times and then to assign one job at a time to the machine whose load is smallest so far. We provide new insights into LPT and discuss the approximation ratio of a modification of LPT that improves Graham’s bound. We use linear programming to analyze the approximation ratio of our approach. This performance analysis can be seen as a valid alternative to formal proofs based on analytical derivation. Also, we derive from the proposed approach an O(n log n) time complexity heuristic called SLACK. The heuristic splits the sorted job set in tuples of m consecutive jobs (1,...,m; m+1,...,2m; etc.) and sorts the tuples in non-increasing order of the difference (SLACK) between largest and smallest job in the tuple. Given this new ordering of the jobset, list scheduling is applied. This approach strongly outperforms LPT on benchmark literature instances and is competitive with more involved approaches such as COMBINE and LDM.
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Online learning in multi-agent systems: Regret, equilibrium, and the road ahead
Tutoriel de l'axe DMEI (Décision, Modélisation, Evaluation, Incertitude) et de l'action transverse DAAO (Données, Apprentissage Automatique et Optimisation) du GDR RO.
Panayotis Mertikopoulos, Université Grenoble Alpes
panayotis.mertikopoulos@imag.fr
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) 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Abstract - From auctions to traffic planning and the training of adversarial neural nets, the goal of multi-agent learning is always the same: to make more informed decisions that lead to better rewards over time. But who benefits in the end? Each agent unilaterally? All agents concurrently? Both / None of the above? This tutorial is intended to explore these questions by providing an introduction to online optimization and learning from a multi-agent, game-theoretic viewpoint. We will cover the basics of learning in finite games (focusing on the multiplicative/exponential weights algorithm and its properties), and the mainstay algorithms for online optimization in continuous games (online gradient descent, follow the regularizer leader, etc.). We will also discuss the impact of the information available to the players, as well as a range of concrete applications to machine learning and operations research.
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Learning-Augmented Online Algorithms
Tutoriel de l'axe CAGDO (Complexité, Approximation et Graphes pour la Décision et l’Optimisation) du GDR RO.
Bertrand Simon, Centre de calcul de l’IN2P3 - Villeurbanne
bertrand.simon@cnrs.fr
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) 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Abstract - Guaranteed classical online algorithms are often designed in order to minimize the competitive ratio, i.e., the performance in the worst case, so usually do not perform well on easy inputs. An orthogonal approach has been developed in the last decade thanks to the progress in machine learning, which allows to predict key parameters of the instance. Its downside is that no guarantee can be given on the prediction quality, for instance if the training set does not represent the current instance. This statement is at the origin of the recently emerging field of learning-augmented algorithms. In this framework, an online algorithm has access to a predictor, which can give relevant information about the future instance, though without any guarantee on the quality. The objective is then to design an algorithm which performs well when the predictor turns out to be accurate, while being robust to imprecise predictions. This tutorial will introduce this new domain, present some recent works and discuss current research questions.
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About Modeling and Solving Combinatorial Constrained Problems (in Python)
Tutoriel de l'axe MH2PPC (Méthodes Hybrides, (Méta)Heuristiques, Programmation Par Contraintes) du GDR RO.
Christophe Lecoutre, Université d'Artois - Lens
lecoutre@cril.fr
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) 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Abstract - In this talk, we will start by introducing PyCSP3, which is a Python library that allows us to easily write models of combinatorial constrained problems. We will show how PyCSP3 can be useful to learn more about Constraint Programming (CP), notably by letting the user play with 60 Jupyter notebooks available at pycsp.org (concerning popular constraints, classical models and incremental solving). Then, we will focus on new advanced forms of constraints, combining intensional and extensional representations. These hybrid constraints are promising both for simplifying models and efficiently solving problem instances. Finally, we will discuss several hybrid forms of solving techniques, developed from connex domains: complete operations research approaches, local search and SAT.
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Méthodes d'optimisation convexe non différentiable
Tutoriel de l'axe REST (Réseaux, Energie, Services, Transport) du GDR RO en association avec le GDR RSD
Adam Ouorou, Orange Innovation - France
adam.ouorou@orange.com
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) 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Abstract - Nous passons en revue les id ées de base qui sous-tendent la vaste famille des algorithmes de minimisation des fonctions convexes non différentiables. Les méthodes les plus simples reposent sur la construction des modèles de la fonction à minimiser. Mais le manque de continuité d’information de premier ordre fait que ces modèles ne sont pas fiables même proche d’un optimum. Ceci motive l’introduction de différents moyens de stabilisation. Les méthodes basées sur les ensembles dits de localisation sont présentées de même que leurs améliorations par la stabilisation. Nous terminons par les approches exploitant les techniques d’accélération proposées par Nesterov pour les méthodes de gradient.
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The Christoffel-Darboux Kernel for Data Analysis
Tutoriel de l'axe OM/PMNL (Optimisation Mathématique / Programmation Mathématique Non Linéaire) du GDR RO en association avec le GDR MACS
Jean-Bernard Lasserre, CNRS - LAAS - Toulouse
lasserre@laas.fr
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) 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Abstract - If the Christoffel-Darboux (CD) kernel is well-known in theory of approximation and orthogonal polynomials, its striking properties seem to have been largely ignored in the context of data analysis (one main reason being that in data analysis one is faced with measures supported on finitely many points (the data set)). In this talk, we briefly introduce the (CD) kernel, some of its properties, and claim that it can become a simple and easy to use tool in the context of data analysis, e.g. to help solve some problems like outlier detection, manifold learning and density estimation.
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