Load packages and data
library(vcd)
library(car) # for Anova()
library(MASS) # for polr()
library(effects) # effect plots
data(Arthritis, package = "vcd")
Fit the proportional odds model
arth.polr <- polr(Improved ~ Sex + Treatment + Age, data=Arthritis)
summary(arth.polr)
## Call:
## polr(formula = Improved ~ Sex + Treatment + Age, data = Arthritis)
##
## Coefficients:
## Value Std. Error t value
## SexMale -1.2517 0.5464 -2.29
## TreatmentTreated 1.7453 0.4759 3.67
## Age 0.0382 0.0184 2.07
##
## Intercepts:
## Value Std. Error t value
## None|Some 2.532 1.057 2.395
## Some|Marked 3.431 1.091 3.144
##
## Residual Deviance: 145.46
## AIC: 155.46
Anova(arth.polr) # Type II tests
## Analysis of Deviance Table (Type II tests)
##
## Response: Improved
## LR Chisq Df Pr(>Chisq)
## Sex 5.69 1 0.01708 *
## Treatment 14.71 1 0.00013 ***
## Age 4.57 1 0.03251 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
arth.effects <- allEffects(arth.polr, xlevels=list(age=seq(15,45,5)) )
plot(arth.effects) # visualize all main effects
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)
plot terms not in model
plot(effect("Sex:Age", arth.polr))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAABPlBMVEUAAAAAACoAADYAADoAAEoAAGEAAGYAEyYAKioAKmgANmEANogAOmYAOpAASkoASmgASoMAYYgAYawAZpAAZrYAgP8qAAAqSkoqaGgqaIMqaJ42AAA2iKw2iM86AAA6OgA6kJA6kNtKAABKSkpKg4NKg7lhAABhNgBhYWFhrKxhrPJmAABmAGZmOgBmOpBmZgBmZjpmZmZmkJBmtv9oKgBoSgBoaEpog2honp5onrmDSgCDg0qDnmiDubmINgCIYQCIz8+Iz/KQOgCQZgCQkDqQtpCQ2/+eaCqeg0qeuYOeuZ6eubmsYQCsrGGs8vK2ZgC2Zma225C2//+5g0q5nmi5uYO5uZ65ubnPiDbP8s/P8vLZ7P/bkDrbtmbb/9vb///yrGHyz4jy8qzy8s/y8vL/tmb/25D//7b//9v///+x4j+WAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO29Ddvcxnmot44sy06qRFFoNaVD5dAtHVs8PXVLpUnYWklU18wHoz3HtKM30Z6adrii3v//B4pvzIMBBoPZGcwH7vtKrOUudmaweJ77HWAGg9M9AAA4cYrdAACAXEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQI/K26enlseOBVxOpweTt85dkc9ubZy52rGKi2N9V+udbn6md37hr0AoCgR6TK4nhfd/41KELtDByW4F2vD1x0oV4h/bCvEr0C0FQlEg0ENyPgnWe1gzXLXO6/Wm8mwYFF27W/zDnm8+39LtthDotgKhKBDoEbmcJnznl9sKOFdfaAV6GXt/jUhuuyywxlWt4epW3XnTNywEuq1AKAoEekC6rtsz5fWmPlz7pf/j49Ozs3oBsjmjfufPQ57DX9T+rfiHPQgU/IFAD8hVdDrP27ugogf7QLz7/n8PeQ5/Ue18cVM1AgV/INADIjO+HYrZOJDdn64ramnfetx2aQP5BIFCWiDQA3IWHcdOfP0/u3P6x+KfnUEuykeX6Zl/ewb/i7Z06bXW0Y+7F8OXJlVpTD5XZw48EP8wFXcR26hfe6Zv96zffvhsKtDuL8fQY18uEI4AAj0g52VvjSPbUjmNEFsPtm6sPPP+/yMM2ncIr9Nz+KHMd36hClSvaqUpZoHOF3eZbLUm0OHz3pBSoMPEqeE9BHpsEOgB6ZNe95YiiKEXOei27Xy14rjUL2q5DBoeOrKtycayFbO98/+OAp2rytwUo0Bni1PmBXTvrgj0fx8/7QQpBCpnLzy+v0egRweBHhBFaTLp1Q8G07UWauct9dq4tN+8KgX0Z/DTUSkpsaHY2arMTTEJdL64yXTXx6sCVWn3QBXodbLF43sEenQQ6BGRJhjldR48cFaM0HbuHrSO6jt35+Zb5/E6wDikcxU2uQ426iX3YLmqkfnPFweRZjcfrz60u9AqcWHMpxNo7Ur1YqoiUOXt67DtcoFwBBDoIZl0t9Srkup40QNt68XxaGUoSpzDD/3X4XXzyVJVPQufLwl0fnNlOGsYxloRaLu10mil5LPyA6j7iEAPDAI9JpNT3lZw16lMu/Nwm1uM1KEj9RxeTJLq+rKGqkRx+udLAp3dXFy+PA81GAUqGvrsXi1Ezs9S9heBHhgEelSkQhu7qCZopNnbx2LVDnXyknoOLybttyZ+YKpKLU7/fEmgs5vL+wVmi1a46A19fK8KVBan9LgR6IFBoEdGGWR5PDfcM1yZVC4QziO6Z+r57VV4t5+BaqiqYenzBYHOby6rlju9IFDZUCnQybz9cTItAj0wCPTg9B3RygwzGuq10H20bAk5+VM5h5fa6a9PGqpS69M+txfo48U7lUwCfSA2khdrJ5dqJ5daEegxQaCHZ5jeabBadw6/3AM9a1+dUx4ChcJAoEeksoIy6t3P4Jzc06kwCGrpGuhkTErZeObM+IF2++hChSvn2VOBTjfnFB6Cg0CPx3T5pcERiyYY5zEteGI6xbxBH3qZH0RabKO1QOc3F1Vfh6usPgeRnhkKhCOAQI+HckfR+O/aDEvLG+l3gE+ZO4Nvq1iYxrS2ktLC50sCnd287Rar2my2sJ7GNE5eYhoTLIBAj4dYYKn/53i/TqsC5YEd3bTy//bxnKWUIh5M36i3XZhIv1DVwMLnSwKd31yZWqXYzyhQtaHNN5lIDyYQ6AHpzsiVOejqyahy37nSvas2UBezk8ibN4eSxjPfpVs5p1VNCphvyvKtnJPNp1UrHlzo3LbbqHMOFIF2HfH5WznDPUcPUgaBHpCZQeuZFZJ6JQ7n3epqTDPliSnr42WChcVEZqtSmP98UaDzm+uLidwrF3TlnwJtMZGFm0T1Ni8UCEcAgR4RbdC8d5IcDGqEoNjx64WT+PHS5qSG8SS45Tv/27jhTFWC2c+XV6Sf3Vxfzu5ece2MQP+H/3XY2nI5u+UC4Qgg0GMyr4K5le7U1ZcXTuIni7grX1OfW1dbWF0Lf3FRvcWmGB/pMV/cdEHlsWnT9Uva0v6/Xrm2CyovFwhHAIEelUE4kx5l937vB3GFsuvRTXQ3cwbff69TyjCoLR8mMqlqqYnK58ZnIs0Xd5n+jeg1OLddVdo4AD8Wanikx3KBcAQQKOxIwgPWjo+og2ODQCEoVY9terKLQKEYECgERQzdWzwjOBoIFBxAoBAWZaX39iKlvkJnEiBQcACBQlimMzQTPYNHoOACAoXATKafp+ooBAoOIFAIjZjjnuxcSQQKDiBQCE8O9+ogUHAAgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAITe+/vhU8c4vxnfePq3feey/ErXIAJX0NT0LV8k3n58G+mpC7MlV1OC/kstJ8DhIJQ4gUMiLNmdqvvPL7q1z94bq1NsYtTMowX8lLfX+BKxk/LmGagLsSfvnJuQxmRVoqGOyAQQKWaEKocvWy/SNm5nptvmvpOOsWDpAJdfTdFcCVDL483R6/zdhKpkTaLBjsgEECllx6bOnFs+D+kWdvXXaXvs3/FVS27o1QoBKWq6KpENUchHn1WEqGX6m4eAE+7nu21pCHfjtIFDICeWE99J1PM59+lQJ5edcruqAdgVV1bWv/Fdy31dwUs+tvVdynvbOAlRyGTqe1+5VqJ9LrSNoJdYgUMiJ69jZqM+znzUK6hVx8TSeUCVkX0nXgQtQSUO1D9/5eS/QEJVUFXRu6whQyfj3pn8Z6ueqGf6mhazEHgQKOaGmyrkxj2K76qW0xe20dQSrpPbzcJIdopLKMvLsNkAlSpHhKhk49xEQ9sDbgkAhV85NV0RRat2f8zua0PdyAlVSJf7j8SpliEqqHvuz5jJB30cMUMlV6/8FPCZXdZwq3IG3BoFCplReqFNJGSVRziX9cOmvT4appD2/VgXqvZLL6Z0/F+PjASppimwnLjxT3vFbiV5cyANvDwKFTOl6IGcxjdJjHp2VqT9hKhm60OEq6WdKDgYNUEldTD+jqO0IBjsmwwh80Eq2gEAhT/rrXmruBBRogEq6U99LwErqfmFb0PXU/73xXklVzE/ljMxgx2QYQQpZySYQKGRJ5c++t6Pm0WTS4w30k+lnLO2nku4SxJJAvVSiCKf7wfxX0v5Qza70MzJDHRN1Eka4SjaBQCFHrsPdJ0E7IvX4i24EX2fX7R6E7IHK+up6/FfSCLQbzulmZIbaE3Gtkx4ogCOjPwPnUdeFC1CJPnYU2AjtNeMgp/DjJKJQlm4R05UQKIAbasoGHoxtteO/knEWY9BReIVroD0ZZ2aGrKRBTJhnFB7AhfqccZy5fQ07HbAt3n8lk8UxwlQiCLUnQmvBKunKUjwZ+OeyBIFCZtRrSDwW/wx5Q0qbpv4rmRFo4D25hLpxSx3ZCfVzzZTFnUgA25muHBHglmj9flH/lcwINOyehLtNfZgQcR/u55opi3vhATajzgRs8b8oj2KE/mXAlX/Ga3lB96TvJwbYk6HIwD/XZKiI1ZgANtItwaTif1nIupJhilHwBS5HgQbek1YyAfakL3KYrR/m55pe6WQ9UICNXOWJb3+juueFyZUV1pWxcs+V9CijyWH35HGoStTrEaFWpL8f7zyYqZYV6QEsUJ+1MQg06JOElBtffFfScRH3dPuuZDRoyKc7DX/X1AmhvivRh4p4JhLAFtQnIilSCPZUTjVhQz0BUjx0I0AlV/mHIEwlrcvUjqD/SvR1R3kqJwBAviBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcCQvgZ72aC6VZFTJAXaRSqJVYkEizbCknENDJX4qOcAuUkm0SixIpBmWlHNoqMRPJQfYRSqJVokFiTTDknIODZX4qeQAu0gl0SqxIJFmWFLOoaESP5UcYBepJFolFiTSDEvKOTRU4qeSA+wilUSrxIJEmmFJOYeGSvxUcoBdpJJolViQSDMsKefQUImfSg6wi1QSrRILEmmGJeUcGirxU8kBdpFKolViQSLNsKScQ0Mlfio5wC5SSbRKLEikGZaUc2ioxE8lB9hFKolWiQWJNMOScg4Nlfip5AC7SCXRKrEgkWZYUs6hoRI/lRxgF6kkWiUWJNIMS8o5NFTip5ID7CKVRKvEgkSaYeQEALBMRDnFq9qS2McGABInop7iVW3J6fQlgAIRAQIEaoJ0AQkRAQIEaoJ0AQkRAQIEaoJ0AQkRAQIEaiKFdPn1D0/f++f0a35xOp2+9TfqO8+rdz7wV0W830ElgYggIBxaEwwEaiKBdMkpX04P5beLzJfYLSAgXFoTDARqIoF0ySpf1M1fncrMl9gtICBcWhMMBGoigXTJKl+UU7Z//bTQfIndAgLCpTXBQKAmEkiXjPLlf1ZP2X71Uf3vAvMldgsICJfWBAOBmkggXTLKl/9F3f7F6dv/V5H5ErsFBIRLa4KBQE0kkC5DnLT/Hcc2m1OkJ80m1R/3D+Q1+ufVtq+GTZurT+221Vbf/tlYcvta+bz/4NSWqF3DGpEjrHVznrwY36xO2D54pbZH/crYuqGK+gTvA7WetdZEIoGISCYgzBFxmICIqKd4VVuSQLqIfPmnT9tQfdgGUZ8gdb5U/6+EZBWR/9D/s9+0TY4XYyi+as+wum+ehkR60f7ze/+4VaBVSf0pW/XyyZAvL4YvteWNret3bkwX29ZEIoGISCYg1gV6iICIqKd4VVuSQLqIfPnLPlT/+tM+Auvgr2Lsj/o32ih+fvruR106DenShmDTOWl53mw8BGgfokN0/+FWgVZRP0b5t3/W58sL5VsPZeu6nZtJl7XWRCKBiEgmINYFeoiAiKineFVbkkC6qPnSxlCbAF3sN2HWBFn9xqtTF3f1GVIXXc+7KH3RflaFZhfobcF1qDZv9N+ti6+/2mTHpkteT8beTH3C9uWrscCHXyolK60b2/BB/z0vrQlGAhFBQKQVEBH1FK9qSxJIF5EvbcC8Oimv6hd1vrRvVK+acHs+BFf/zvDqRT802p6wvRq2rCroPh/K2povQ2+mPmHr82W88lW92/Qinqt1Vq+eq5e7vLQmGAlEBAGRVkBE1FO8qi1JIF1Evjzp3xn7DF3HY7wc32TD82ECyYvxwn2bKcO19/aE7fl45tUk0NghGWPVhiZfhlO2F/U3lTGDYVf6fHmo7NyYLt5aE4wEIoKAcGhNMBCoiQTSRc2X7nqS9qrKlz6Uuhh9PowMjK/67kAXk9V3P5BzQfqx2/6ylVLsOu3JWnfKVoX5wy+n+dLMpO7z5cm4c385jg94a00wEogIAsKhNcFAoCYSSBfLfOkDU+aEeoVriLhXwyWwJ2JEob2opITs5mlMQ/W/+qj+9JV6IqYOBIzdCjF2vKk1kUggIpIJiPVBpEMEREQ9xavakgTSZXu+1Fur+aJO86s/G67T98MOIkKVv+sOAu1Kfd4nZj+pxpgvfzici25oTSQSiIhkAsJGoAcIiIh6ile1JQmki/8OR/vh0DWYROFtPdD2P9UXH3455Evfi/j2z8ZLXmq+NKOz7Q5taE0kEoiIZALCRqAHCIiIeopXtSUJpIvrJS9lEEGZJ913AB728a1cU/pyUrjLJa82DV8NM08+aD+ZNFzkS9s/alvmrTXBSCAiCAiH1gQDgZpIIF0s86WPqi49xoh8oY5otmOdVSekvoXle/0dH+NNcvKN7YOu3Slbe8LW5YvS5Xk1d8bWT7t54rM1wUggIggIh9YEA4GaSCBdLPNlnG43iUht2t+Xdeh966/6m+zG7kA3mDDE5a9/6JAv3RoSD7vyphO1F/JlqNRXa4KRQEQQEGkFREQ9xavakgTSxTZf+qv0/Y0nwwUp9caTcS71SQ3iNtKfj3dKi0Lt6PNFKXucQdPfdH3qZ3VP86XuWDz02JpgJBARBERaARFRT/GqtiSBdLHMl+/KJReUfFFmggyXk5Qb+8RIwEPxxp9uXL2sifNmct8HfckfTCpYypehN+SpNcFIICIIiLQCIqKe4lVtSQLpYjvo+kqkhJIvY8KMl+NfnYZbP9SpIg/HT09bl7sZ7nqu+xVP+nKG+7Ab/qdPpxfkxpHU/tTMT2uCkUBEEBBpBUREPcWr2pIE0sV61koTaP0FdzVf9AUVp4Ob7QI3400iXadh0zyRIV/Gsl8pF+JOJ+VWlLl8+XW/woSX1gQjgYggINIKiIh6ile1JQmkiw3KtD8ISx4RQUDsBgI1kUe6kC/7kUdEEBC7gUBNnAAATETUU7yqLYl9bAAgcSLqKV7VlpxOb3Lgtz84fRi7DQchj4ggIHYDgZrII13Il/3IIyIIiN1AoCbySBfYDyICBAjUBOkCEiICBAjURGbpUp251fzBv/ss9PXkmvmjG8v7j89O737hpWUxyCwidILEyF1V4u/9vfrOy+qd2asIeR9+HQRqIqt0UUznM0QRqEpWEaETKEbupoHxux8h0B30FK9qS3JKFyE62R3wVy4CzSgidELFyN20U9tUhEBD6yle1ZZklC713/wuJe68nqK9vt2ZgrwzKKOI0AkWI3cTIVfHGIHuoKd4VVuSUbrcKQFbX+f6xFfBCFQlo4jQCRYjVcE/VsOkKvzHCDS8nuJVbUlG6fJS7QHcLUSvCwhUJaOI0AkWI1VZP/mR0qO9O737Lwg0vJ7iVW1JRukikkOZSN1e9vqkf7sN3iqKla0nVzkn18YWBKqWW58bVtkzjsXeKZ+9aYdkh3KVDBJl5EFGEaETLEaq4/3J3fhm9dUPX48CLejw6yBQExmly3yHopu00o+53nUyvBNSdBDopNxaoP/2WT/I1AzBjtfA7oaSmy7KkEGTMvIgo4jQCRYjtUCrYh6NJX4yCLSow6+DQE1klC51PGrjqkOQdmHa9Sp+9yN9yHSTQKfl1gX+bf/1v/us/6zpXNwpRT96M2bQtIw8yCgidILFSC1QpWtZncF/0Qu0rMOvg0BN5JQuL/XQrgdDm3/X4d+EcxvWL7dMYZkRqFZu0+es86DtfNav6gTpP2q+X7+oU7LLIL1tWZBTROiEipFaoO3/dEV+2JVS2uHXQaAmskqXO+1P+uthqkoVvm0+1HnxelPIyr5Hn2Ky3D472q2HV/WLsbLu6lqXQTNty4GsIkInUIw07hwuqtZn8P1xL+zw6yBQE5mly8shPdrgVHoRr8eOwB9vGwedEahWbi3QtvcxpkP1SlbTvdFl0EzbciCziNAJEiONQIdz+Lu6aM3ARRx+HQRqIr906XXXnU8Pl7GG7sFkgNy+xFGgermjLOdeNTRzq8cMmm1bBuQXETr+Y6Q9e+/O4asD/OjNVKCFHH4dBGoiz3S560zXj4aLHkcdyZN4lYpcH0TSyzULdCxfZJDetgzIMyJ0/MZIq87OhL/9Qf3pKNCSDr8OAjWRa7rcNSGuDHQqUfryZoHq5ZoEqm49ZtB829In14jQ8RkjrUCHs3P12ndZh1+naIG+ffqdX86+XR+0xxYFZJQuv/2Bes71sruqr0dmkwmf6G9tE+ikXINA+77Gu1+Ii2CzbcuAjCJCJ1iMdCfvzX+qw/zozSDQwg6/TskC/ebz05xAz10QvPOL1RLySRc57XkIZW0koIrf3/+LTcGrC1Qv1yDQu9PkjeEcLsvpf/lEhE64GOkE2pzDvx6mJ334prjDr1OyQCtTzgj0MvwZne2eCvJJl9dyPnIzyFlfypoOBdShritxpeTJ1nq5ywJVbgh8rZ7DzbUtB/KJCJ1wMTIOH737RXsG3wm0tMOvU65Aq/7nnCO//vh0ev839/fX6tMHa2Xkky7jTMyaLljvxHS/OiGaUyd5l/MaM6mklWsj0LqFyjwWvW1ZkE9E6ISLkbvxrrOftGfwmkDLOPw6xQq0FuWcQM+9N6sNVk/iM0qX5iJVe+W/ue70qH/RRPbL7rJVO/1u08SRmfjWyjWcwr/sMmVYMrLLIL1tWZBRROgEi5FeoM3YUHswu1P4wg6/TqECbcaJ/mTmGmj1Qf/eZX0gKad0UW867tNEvfSvXNlvxw8smesgTMs1CFSMPigZpJWRBzlFhE6oGOkF2sz2HIr98E1xh1+nUIHWFzqfzQ0iVf3OB+PL+lzeRFbpMheS43QRdSGH6UoRa8UaVmMa7l1ZnMY03PryZ5+pk120MvIgq4jQCRQjw23wtaE/6WvqPVzQ4dcpVqAP5kfhlW7nwiC9Smbp0s8ZUXsOd0pnYxyGvbMP21mBynLNE+nbTHmkXBYbV+1RysiDzCJCJ0iMDAIVd08Md8aXc/h1ChVow4JAn40fr10EzT5dwDNEBAiOJtDzKNDqtS7QEwCAM4GlJmQVuPx5gY7SRKAA4JfAUhOyClz+ukDH3ug8MfvnkCJEBAiOdwpv7oFKSBeQEBEgQKAmSBeQEBEgOJpAt47Ch2gX5AsRAYKjCfS6cR5oiHZBvhARIDiaQLfeiRSiXZAvRAQIjibQrffCh2gX5AsRAYKjCXTrakwh2gX5QkSA4HAC3bgeaJiWQa4QESA4ikCrU/euv7ltRfqQ7YP8ICJAcDyBbnsmUrjWQY4QESA4oEA3PZUzUNMgU4gIEJQs0NshXUBCRIAAgZogXUBCRIAAgZogXUBCRIAAgZogXUBCRIAAgZogXUBCRIAAgZogXUBCRIAAgZogXUBCRIAAgZogXUBCRICgWIEaZsvXt8Nb3Ah/T7rAFCICBKUKdPl+zW8+7++FX3mi3D3pAlOICBAUKlDDiiHn4aN1g5IuICEiQFCmQA1r1vVv1af4q8sxkS4gISJAUKZADasmn/sLo7VB17qgpAtIiAgQFClQ03M7xmcZ80gP2AwRAYIiBWp6cpwQKD1Q2AYRAYIiBXoxPLt4+MzisfCkC0wgIkBQqkD7vqWmyfrS5wPlv0ZIF5AQESAoUqBn5eT8PO1ntjPsl6bSnyaEaiLkCREBgqkw9oyPgAIdpakJdJgJOnsBFIGCCSICBAcQ6MSU40T69afKkS4gISJAUOgp/HIP9NzdIV/f0ckgEmyEiADB0QSqzKy/nCYznHRIF5AQESAoUqCGUXg5w2mtC0q6gISIAEGRAr0uzwNVO6TrM+lJF5AQESAoUqCGO5EQKNwCEQGCIgVquBdensIjUNgGEQGCIgVqWI3pelIHkdbWsyNdQEJEgKBMgS6vB9qsR/9YfWFsIekCAiICBGUKVF+Rvjqrb3ue7QORWtZmMZEuMIGIAEGhAtWeiTQIVLkXftWfpAtMICJAUKpAp0/lHAXad0JXn+dxT7rAFCICBMUK1AukC0iICBAgUBOkC0iICBAgUBOkC0iICBAgUBOkC0iICBAgUBOky8H5qkZ9g4gAAQI1Qbocl68G1HeJCBAgUBOkyyH5SqJ+RESAAIGaIF2OxlczqJ8TESAoVqCTifSC6/JD5SSky4GYcycCBTOlCnR6K6fCcDf8+r1IpMsxWHQnAgUzhQpUW0xkRFlNhMVEwOxOBApmyhTo8nJ2zal9I84Ly9kdHAt3IlAwU6ZAlxdUVp7FeeWpnIfF1p0IFMwUKVDDIz2UR3HyVM5DssmdCBTMFClQw0PllI8sIF2KYrs7ESiYKVKgl+XHGl/XL3wqkC6l4OhOBApmShVoP8lzep7efNQ8D4l5oAfhFnciUDBTpEDPih3PUqD1Py+GeaCnCaGaCHtwszsRKJiZCmPP+Ago0FGaukB/ujxHFIEWgx93IlAwcwCBqufq7cl7M6w0M0dUg3TJEY/uRKBgptBT+KUeqPo0eH2OqAbpkhm+3YlAwczBBFp3SIdpTefVgSTSJR+CuBOBgpkiBWoYhT8r05jWpzSRLlkQzp0IFMwUKdDr8jzQCwIticDqRKCwQpECNdyJdFVGjhBovuxiTgQKaxQpUMO98JVQhx4p10AzZE9zIlBYo0iBmlZjGj4SLl2AdEmHCOZEoLBGmQI1rAfaf9R8xnqgGRDPnAgU1ihToPqK9NVZfdcVHT9iRfqkie3NAbVRRAQIChWo9kykUaDdI+Vs/Em6RCG2MEe+3zG2jYgAQakCnT6VUxFoZ9f1R8qRLjsT25cK3xeMTSQiQFCsQL1AuuxDbF2qfH+GsaVEBAgQqAnSJTCxbSmYU+fEn0QESBCoCdIlELFdOWFRnc2nasOJCBAgUBOki28im1LDrM4Wtf1EBAgQqAnSxRvRFLnAojm/r22q7gYRAQIEaoJ0uZ0IcjSybE5dnS3q3hARB2caEQjUBOnizn5KtMMgzkV1tqh7RUQcl9mIQKAmSJctBDagK0ZzmtXZou4jEXFIliMCgZogXcyE8J0/bjZnh7rHRMTBWIuIYgU6uRNJ4+uPLR4MT7pM8KS2wPgyZ4f6AxARx8EqIkoV6PRe+Cm1XxGoBTd4bH/8irNH/TmIiENgHxGFClRbjWlKLVgEOoezZyLiucs5Qf11jhgRh2JrRJQpUMN6oC3NikwItOVWwUQkrDk71N/qGBFxTJwiokyBGlakb2gvkB5WoJ7EEpNdzNmh/nSFRsTRcY+IIgVqeCZSQ/2ozp+XK1C/+kiMPc3Zof62eUYELHJrRBQpUMNTORvq58ZfchWoZztkw/7i7FF//RQjAtzwEhFFCvSy/Fz4mkqqj+8TFai/tC+FCF3OCXEjAgLgLyJKFWgvx0qg0+ZAxGcAACAASURBVIug1VtVpzSOQL0k9EGIb86OoBEB++I7IooUqPrA97Mm0PadBYGeJmyq18vBgWTM2SHjY1NEQEIEiYipMPaMj4ACVZ9/NBHotT2/3y5Qf78/zJOaOTtkfPgMVNiJcBFxAIFKUb592o4qbT+F93wQYCRNcfYsRgSkT+iIKPQUfrkHeu4GlRBoAiTa5ZywGBGQNLtExNEEOngTgcYkD3N2LEYEpMp+EVGkQJdH4ccZogg0ClmZs2MxIiA99o6IIgV6XZwHeplc8V1e7q5tIQL1RY7m7FiMCEiISBFRpECX70RCoLuTrzh7FiMCEiByRBQp0OV74RHobmTc5ZywGBEQkUQiokiBrq7GdM810HCUY86OxYiACMSOhhqlOWUKdHU9UAQagOLM2bEYEbAnscNAQWlVmQLVV6SvzuplVxSB+sLszSzNaRkRsAexg2EGpXWFClR7JhIC9c2aN/MSp21cIdDdiB0SBpRWlirQ6VM5EagnVr2ZiTkdwwqBBid2ZFigtLZYgXoBgfZYeDN1c/qPCPBK7ACxR2k0AjWBQHPucQaPCPBC7DjZjtJ4BGriyALN0Zs7RwTcROxocUfZCQRq4ogCzcqbcSMCnIgdNLej7AwCNXEogeJNCxCoO7Gjxh/KTiFQE8cQaDbmjBYHIwh0G7FDJgzKDiJQE0ULNJtz9WiHfwYEukrscNkBZW8RqIkSBbrmzWTEGe2om0Cgs8SOlZ1R9rxYgU4m0qvUd8qflhYZERQk0FVvpmJOT8c/EAi0J3acxET5GUoV6PRWzpHWrMpt8gbyF6iFN5Mwp9eDH5BDCzR2kCSD8psUKlBtMZGB0Z8WBs1WoHgzEIcTaOwISRLl9ylToIbl7C79if15eam7gdwEijdDcwSBxo6ONJFJNPxYZQp0eUHlugPaLSJyWe+CZiJQvLkbhQo0dmQkynI2Db9ckQJdfqRH3Sftu53ffL66IFPaAsWb+5OxQGOHQSZYZVXhAl1+qJwQ6jlDgdod3hS86e1oJkXaAo19zDPGNrEm/ixToJfFxxoLzqtTmdIQ6IYDG62NCh4OYLpEF2jso1sWW6SpfE05HqUKtO9aVgJdsmR1oi86pzPEE+i2P4i7Nm0JH0cuefbIl9gHsnxuTaydA2KJYFWr5+bL3czp5dG2TROUj9I5rEl58xji7PGUL7GP2THxllUiIJaNEZqAAh2luSjQ6dXRrk07CzRTadZ4P2w5YJ8gsQ8PNARJLBEQxQt0fqSo8mesO5EylmaDhyOULWlcFQcjwVNrKSB2JmYP9GpzJ6fHdMldmjUejkz2INBE2TW7lgJiZyIK1M6ft6XLZmemKM0aD0ekGBBoQkRLsKWA2Jl4o/Dn0+oAfMPmdClGmjU+DkVpINDIJJFgSwGxM8Gqvprngda3IK3dBd9ilS5FSbPBxzEoFAQageQSbCkgdibGnUjtW/PrhOospkt50qzx8dsXDgINzvbc2j3BlgJiZ2LcCz+zvogB8eskfUhvwsdvfhAQqGccdRk3w5YCYmdirMZUy9Xan+LXSfuQOuHnxz4UCNQDWUpTZSkgdibGeqAWSzAp2Ak09uHcjK+f+YAgUEeyl6bKUkDszJ4r0vcdz6u8bWDDakxpH9JVwv3WhwKBbqAQXeosBcTO7PlMpE6gdQfUUaD5pUuwH/fA5B0RQSlWlzpLAbEzez6VsxOo+kSkIgUa6NeEjvwiIhCOusxXmipLAbEzsZdWXCeLdIn26xyRLCLCPzfpsgxpqiwFxM4UJND33nvP+tfXNx3eee895aXy3vTN9XZb/rbGDdUPu5cLy82cho+nX2he9K/n39NfiQ+nn55mthNNUGqb+bKyvd5YUZ3+I9xvEqhtTMxu1r+pHv3+TfWt+W+7NqUurfo/D7rspTnXUm2H+nqnrdV3Xfk9lF9GeU8pQ0+g4dV7yquvZr8yW8rw4VJA7AwCnb5jEqjWHmO7ESgCtWyKR12ObdKVhkC9g0Cn70yOYdeGWWGstBuBItDZpvjW5Xszu4lA9wGBTt957z3dDQhUfopAFwXqTY4LulQdouxlcQKdiQcZV0sBsTMIdHK85hyCQCefHlSgAeW4oEvDHmUt0D6GTnoEzcWf9mmWAh3mb1qtQueNYAJdqAaByg0PK9BYuhQiW96jhAWqH96THjoHE+hk8uaODvUq0NlC5TsIVG54EIHG0uVcWzIR6FJszBzeowt0OvfdUqGTifSWH01beKNA1wuV7yBQuWEBAk1CjtYnSKkJ9DT93WdsiECNnKUyu3P51fWQp7dy2n2ktXC7QNf3CIGWItC95bg2iGQRnqsbRhGoeqzmf3sEOoNF1fWyStr9lpd1+2mLiVh9pLfQTqAbjDUtVL6DQOWGaQs0pC71a35fZS9Q/ajNBQQCtWa96uuCKWuvmm5jX17OzvTRTAsXBaptiEDvJ+E4vkCgK8yabPBTJgIVP9JKRMy8hUA3s1r126eLmrwa+4+GBZUNH8200PbXQaDT9iHQRTnq0lp+MxmBTn4U9Xefi2cEugPrAv0vhtGi/7osUMMjPYxP+9BbiEBlzQhU/Zcfa6UgUGX3DBGBQCdf0f61L8GqNjxUzvy8uSkIdNJEBJqgQO9X2RAPCPR+Lh6OJdDL8mONDR/NgEAnTUSgvgW6cFBnfoH5g2B1pBGofHUsgRpP5Ge5jENMlSXFlU7DR3MtRKCyZgS65TjbbYtAEagbtgJ9ajFeLjgrY/RnaUnDR22bJljWiECn7UOgCHS65fRFGQJ1M4YPNgj0ZHfnUIdqRk2gix+1bUKgsx8iUK3GNRDodMvpCwR6G9Z19XPfbZ9HLC0pvmb4aK6FAAAmbC3mny1Vd/dfrt881G7s3AOdtBAAwMQGi3lmW9X9inYWK4l4FOiXAApEBAjyEej9uDDT2pCSx1H42McH0oKIAEFWAr0f+qFm812XJ3saPpprIekCAiICBHkJdFxJydgL9XgnUuzjA2lBRIAgI4F29qx6jU031DCtyeO98LGPj+DXPzx975/zqPlXHzUHK1Jzw0FEuNZcaETkItDJTCbFg3P4W40p9vERZJMur8YzhW//LFyrIkBEuNVcbERkIdDenkqH8WwUqL/1QGMfH0Eu6aJky+n0rb8J2K7dISKcai43IjIQaDf2Lq5XVifxxuuX2rLzVSFdf3PbivSxj48gk3SpNu6T5EVpJ21EhEvNBUdEJgK1eH6RZPrgo1Gg256JFPv4CDJJlypHPuhf11e+noRpUxSICJeaC46ILARqewun/JY46VcEuumpnLGPjyCTdHmunqSpuVMARIRLzQVHRAYCjUii6dL+98VwOal+1f1Vr/6+f9CcMQ1B+rza9tWwaXsx6klX2nA9f3itfN5/cGpLFOkirmlNr2qJdGkapH7pibovs/sw145UICLmI8IYECVHRAYCfft0cjOmzWPh/ZBwuvzTp22oPmwjus+POjq7CSNdzFbp8g/9P/tN29x4Mcbjq7qgYarJOFL6ov3n9/5xi0DnuxiybtM+zLQjGYiI+YgwC7TgiMhRoHYrivgg4XT5yz5U//rTPmrr2K8C7Y/6N9oofn767kddJA4R28ah0hVouwhDlPZx+qL/5x9uEWhdjDbSOqnbtA96O9KBiJiPCLNAC46I7AS6MgPUL+mmSxtIbQx2od/EfhNp9RuvTt1f7+enYdizfll3K160n/3rp31UtwVX/27f6L9bF19/tcmODdfans9k0aRu0z5o7UgIIoKIEKQtUOXWTQVO4X/YR++rk/KqflGHXPtG9aqJuedDpPfvDK9etBHcn6+9GrasKug+H8raNFgx9FOG/oJWt2EftHYkBBFBRAjSFmi//JJkw9r0N5Jwujzp3xm7DN3f7D7AnrfJ8LzPCfVKVJsow0BAe76mXOpv8mfsj4yJY8vz4Wi135ure2kfpu1ICSKCiBCkLdDmfqF4/kxYoN3fce1VlS59XL9qI/T5MDAwvuovdnWBWX33AzkxpR+6VboLm6fL9JfFmjK0upf3QWtHShARRIQgcYHWTAaR9iTLdOnjS6aEeoFrCP9Xw1WoJ+KifttPUOJ20zQmhebM7YO5uo3pIttx46/mFSJiPiJsA6K4iECgJnJPl3prNV3UWX71Z8NQQX/FXoSp0slwFWiTMNWnet3L+6C148ZfzStExI0CLS0iMhBoRHJPl7X+Rvtht6F2UubaA/3VR+p05+ZUbUt/w+XkcDeICBeBFhwRCNRElumiXfFSxhCUadL9LOuH/fRp5QLXl5PCN4XwC3mZvy1dq9t4wpbYXD8FIoKIECQt0HoQ/pk+FM88UGO69LHWRehzdeB0nCbdhnTVD6jv/mhKrSfbiTvllDe2jLm+kpOdn/fzX2Tdy/ugtSMliAgiQoBATWSZLl1c9okzpos28+7LOoy/9Vcfdf2DF2Oct2MJQ5L8+ocb0kVu/GqYEq3N+lvaB60dCUFEEBECBGoiz3QZ7hXp7jsZrjWp936MU6mHK1bNYOeTbsN+arMo1I7metgHY5EP5+o27IPWjoQgIogIQdICjU6W6fJdue6Cki7KdJDhlEq5r0+MBDwUb/zppmXTXpxUlMRR6jbsg96OdCAiiAgBAjWRZbp88EpkhLqU2BCz4yWpV2pIjvNFHo6fnmZWY1phLt4ndZvSRW9HMhARRIQAgZrIM13aaOuvuou1GPVVFScjnC+ULkJNff1+Zj1Qm6ZOa9JWf1xOF70dqUBEEBECBGoisXSxILU73UqDiABB0gKdX0vkuINIFpAuYSEiQIBATcxWDwDQs5eMZvS0tgECBYC02UtGM3qKV7Ulp9ObzPjtD04fxm5DyRARIECgJkgXkBARIECgJvJLFwgLEQECBGqCdAEJEQGCpAWawL3wsY/PJqqztZo/+Hefhb6e/PqPbizvPz47vfuFl5bFILOI0AkSI3dVib/39+o7L6t3Zq8c5H34dRCoiazSRTGdzxBFoCpZRYROoBi5mwbG736EQHfQ09oGCHQDQnSyO+CvXASaUUTohIqRu2mntqkIgYbWU7yqLckoXeq/+V1K3Hk9RXt9uzMFeWdQRhGhEyxG7iZCro4xAt1BT/GqtiSjdLlTAra+zvWJr4IRqEpGEaETLEaqgn+shklV+I8RaHg9xavakozS5aXaA7hbiF4XEKhKRhGhEyxGqrJ+8iOlR3t3evdfEGh4PcWr2pKM0kUkhzJ5ur3s9Un/dhu8VRQrW0+uck6ujS0IVC23Pjessmcci71TPnvTDskO5SoZJMrIg4wiQidYjFTH+5O78c3qqx++HgVa0OHXyUWgX3+88/hRQ0bpMt+h6Cat9GOud50M74QUHQQ6KbcW6L991g8yNUOw4zWwu6HkposyZNCkjDzIKCJ0gsVILdCqmEdjiZ8MAi3q8OvkIdDreOje+UXAFk3JKF3qeNTGVYcg7cK061X87kf6kOkmgU7LrQv82/7rf/dZ/1nTubhTin70ZsygaRl5kFFE6ASLkVqgSteyOoP/ohdoWYdfJwuBXsTBexayTZKc0uWlHtr1YGjz7zr8m3Buw/rlliksMwLVym36nHUetJ3P+lWdIP1HzffrF3VKdhmkty0LcooInVAxUgu0/Z+uyA+7Uko7/Do5CLQ+fe/O3ZWXe5BVuox/65WLTF0vogrfNh/qvHi9KWRl36NPMVlunx3t1sOr+sVYWXd1rcugmbblQFYRoRMoRhp3DhdV6zP4/rgXdvh1chDoWe11Vr3RB2GaM0Nm6fJySI82OJVexOuxI/DH28ZBZwSqlVsLtO19jOlQvZLVdG90GTTTthzILCJ0gsRII9DhHP6uLlozcBGHXycDgX7zuVDm+fT+b4I0Z4b80qXXXXc+PVzGGroHkwFy+xJHgerljrKce9XQzK0eM2i2bRmQX0To+I+R9uy9O4evDvCjN1OBFnL4dTIQ6Nun4rLnlVs5V7jrTNePhoseRx3Jk3iVilwfRNLLNQt0LF9kkN62DMgzInT8xkirzs6Ev/1B/eko0JIOvw4CNZFrutw1Ia4MdCpR+vJmgerlmgSqbj1m0Hzb0ifXiNDxGSOtQIezc/Xad1mHXycDgVYn7Q8W/xWWjNLltz9Qz7ledlf19chsMuET/a1tAp2UaxBo39d49wtxEWy2bRmQUUToBIuR7uS9+U91mB+9GQRa2OHXsRXo26ez/b52paTHjnqy3O7rj5UarnvOBM0nXeS05yGUtZGAKn5//y82Ba8uUL1cg0DvTpM3hnO4LKf/5RMROuFipBNocw7/epie9OGb4g6/jqVAv/l89sT53P1BcnOadef3OtRQCXvPmfT5pMtrOR+5GeSsL2VNhwLqUNeVuFLyZGu93GWBKjcEvlbP4ebalgP5RIROuBgZh4/e/aI9g+8EWtrh17EU6Hl2+uU4wd3psmQOjzWOfXxsGWdi1nTBeiem+9UJ0Zw6ybuc15hJJa1cG4HWLVTmsehty4J8IkInXIzcjXed/aQ9g9cEWsbh17ESaNX/nNNWPau9nlJU32jpcl0SgXqkuUjVXvlvrjs96l80kf2yu2zVTr/bNHFkJr61cg2n8C+7TBmWjOwySG9bFmQUETrBYqQXaDM21B7M7hS+sMOvYyPQdiEPXVvn3pvVBi4n1gjUJ3fiN2qD/7XyjnJlvx0/sGSugzAt1yBQdVM1g7Qy8iCniNAJFSO9QJvZnkOxH74p7vDrrAu0sdifzFwDrT7o37s4DSSxnJ1X5kJynC6iLuQwXSlirVjDakzDvSuL05iGW1/+7DN1sotWRh5kFRE6gWJkuA2+NvQnfU29hws6/DrrAq0vdD6bG0Sq+p0PxpcOtwchUM/0c0bUnsOd0tkYh2Hv7MN2VqCyXPNE+jZTHimXxcZVe5Qy8iCziNAJEiODQMXdE8Od8eUcfh0bgT6YH4VXup0Lg/Rretr8jb3JPl3AM0QECG6YxnQZ1/ioPna4COoo0Lf/OeA10BMAgDPzXpkTqLpI0jmsQK+iiSEHkSL96gBQBPNemRfoKM2wAj3LJu45Cr9XTZAHRAQIbjiFlwJ1WCh+y4LKKvstSU+6gISIAIE3gQbsgbbzTZvBLDdTO0O6gISIAEEGAq3qbu93alpw2feRHrtVBVlARIAgg1H4t0+b6VJff9xUUVXFKTzEgogAwQ0Cve40D7RbULlfV/my63qgu1UFWUBEgOAGge51J1JnzqoJj9u69nwm0l41QR4QESC4QaB73Qvfdz27pei//phpTBALIgIEtyyoHHw1pqHuxs6Xtpe77zOR9qoJ8oCIAMEtAg2+HmhHN/DePczjsutjjfeqCfKAiACBg0DHx2qEXpG+o+vgthdar26ydoN0AQkRAYKbBLrXM5Hqah6PtTGNCWJBRIDgNoHu81TO5pEiz4YF6vfrgJIuMIGIAEEOz4WvuLbKPrvb2gnSBSREBAgyEWgkSBeQEBEgQKAmSBeQEBEgQKAmSBeQEBEgyEWg3ZqgO67EVEO6gISIAEEeAlUe6eE2Y8oR0gUkRAQIshDoOGF/32mgpAtMICJAkINA69P37txdebkHpAtIiAgQ2ASEYbZ8e2nScWr7hkd6jL3OC7dyQjyICBBYBMTy/Zr1HUI3nFbbr8akKvPMYiIQDSICBOsBYVgx5HzbhcmN64F2sJwdxIOIAMFqQBjWrOvfqk/xXaSGQCE3iAgQrAaEYdXkc39htDaoQxfU/hrog8V/hYV0AQkRAYK1gDA9t2N8lnHQR3rU6h5Lv+45E5R0AQkRAYK1gDA9OU4INGAPtL5W0NWkLqW3A6QLSIgIEKwFxMXw7OLhM7fHwq8LtFsAdArXQCEWRAQILATa9y01TdZ+e6D8d3PdaxtEEOi0rnA1QY4QESDQ7DT5XJ3Efp72M0fBOY3rIFDIDSICBOsCHaWpCXSYCep2e3r6sUi6gISIAMFaQEiBTkw5TqR3GtlJPxZJF5AQESDYJlDpyf4JRfUdnUEGkaJDuoCEiADBDQJVZtZfTi43qG+Jxe5yKAsqQ1SICBDcMAovZzg5dEHtY1EZTdpVoaQLSIgIEKwFxHV5HqjaIXWaSW8di2I0non0EA8iAgQ33Im0m0CbVfPa4uv1S/ZbzY50gQlEBAhuuBdensIHFOhVkaZbTa6QLiAhIkBww2pM4x3qtUsdrk3ar8akFF4ZndWYIBZEBAhuWA+0ObN+rL7YWrfdZlXxauEXVqSHaBARIHBYkX5YEal7VnuDi9RYUBlyg4gAgcMzkcYl5cbRcadOIQKF3CAiQODwVE51Tc62E+poNE7hITeICBDk8Fx4BpEgFYgIEOQgUKYxQSoQESDIQaBMpIdUICJAkINA5a2ce94MT7qAhIgAQRYCZTERSAQiAgR5CJTl7CANiAgQ5CLQOJAuICEiQJCDQM879ztHSBeQEBEgyECg33y+58C7gHQBCREBAoc7kQTX8E/l3HXqvIR0AQkRAQKHe+EVhuVEnE6y6YFCbhARIHBYjWlEWY4p4GpMdS93v5uPBKQLSIgIENywHmhzat+I8xJ0PVD9YSK7QbqAhIgAwQ0r0isPM76GfKyxuA9p38mgpAtIiAgQ3PBMJOVZxkEfa4xAIRmICBDc8FRO5SPHuu02Q6CQDEQECNYC4rL8XPir04VPte6bvr0HpAtIiAgQWAi0HwGfnqc3HzVLzYWdB7ork85uik2EiBARIJgKYxofZ8WOZynQ+p/9HKeQ80B3BYGCCSICBOsCHaWpC/SnN12XTD8WSReQEBEgWAsIKVD1XL09eW+GlWbmiFrVvWHbbs7+ztNBSReQEBEg2CZQtQfaCLQbRdLniFrVbb3lNcYQ/D3pAlOICBC4C7TukA4dwrPLQJJ1LF7UawwOpnaGdAEJEQGCG0bhz8o0JqcpTbaxWJ++dx1P5eUekC4gISJAsBYQ1+V5oJe9BCq6t9P7oYJCuoCEiADBDXciXZWRo5ACfftUlH3ecSSJdAEJEQGCG+6Fr4Q69EhDXgN9+1RcObhyKydEg4gAwS2rMQ0fCZduqNtuMwQKyUBEgOCW9UD7j5rPAq4HehYVn3d8wAfpAhIiAgQOK9JXZ/Vdl1CZXhRyRfpK1KOed12ennQBCREBAodnIo0CHSe4O43rbFmRvquxXtpuv0F40gUmEBEgcHgqpyLQzq6OFyVd1wPd75Yk0gUkRAQIMnguPAKFZCAiQIBATZAuICEiQJCBQCNCuoCEiAABAjVBuoCEiAABAjVBuoCEiABB0gJ9+18Ms6P+K9dAYXeICBCkLdCni5Pm97mhk3QBCREBgqQFWk/Un10/ub6JdI/59KQLSIgIEDhMpNeodOZ0d6VF1c2jkKaFX3Zbl550AQkRAQKHWzmn1H4NJdC+9uFW0fZRdnutJ0K6gISIAIHDYiJTzjOdRLu6rbaamUe/24rKpAtIiAgQ3LKcXUuzoEhAgWoK3fHRxqQLSIgIENyyoHJDa7egAr0fztz3fjA86QISIgIENzzSo6F+0tzPwws0EqQLSIgIENzwULmG+rHHFwQKB4GIAIHFc+GXHmtc0ywWj0DhKBARILAQaC/HSqDTi6DVW1WntCSBTgf8Y7cH0oKIAIE2RWjyufq84rMm0PYdBApHgYgAwbpA1cd3TAR6bc/vSxKohHQBCREBgrWAkAKVonz7tB1VQqBwFIgIEGwTqOyBnrtBJQQKR4GIAMENAh28iUDhKBARIHAfhR9niCJQOApEBAjWAuK6OA/0Mhl92r4+Z/qxSLqAhIgAgfudSAgUjgcRAQL3e+ERKBwPIgIEN6/GdM81UJjjqz3Yfa+ICBDcvh5oQIHOrKVcs8fj5FpIl55ddLgLt/0ORAQIHFakr7Qmu6IINDNiOywz1J+u0IiARVYiwuGZSEcV6N55C4mwGBFQGA4R4fBUzv0E2jM+3dj5AXZuIFBAoGXiKSLSfi58S7PoaM91pycaNyBQQKD5EzAichDoWYxenfd6pvE9AoWaxYiA9Ng7IjIQaHXarp61X7kGCruyGBEQn9gRgUBNIFBAoCkROxZalAZlINBvPp+cwu/3aGMECgg0IrEP/QJKCzMQqFzI+bI4nz8ACBQQ6H7EPtK2KE3OQaD1zVDdaXv9klF42JXFiIDbiH1gnVH2IQeBTtYtYR4o7MpiRMAmYh9Hfyg75TCRXqXuETr3Ce1j8Trqc8f+JwKFmsWIgEViH7OwKDvqcCvnyHirpdPA+JZY7KrabwC+AYECAl0j9vHZH2XnHRYTGVBvVXcxW/qxiEABgarEPhZpoPwgtyxnd+lP7M/LS92ZSD8WEWgMvh+7ARMWI6JwYv/u6aL8SDcsqKws7HFx6oJuPYWvqr/sNwe0BoFu4fup4Wm/FiOiHDz9UkdB+eXcH+lR90n7buc3n7sMjtvHYnuxoBboroPwCHQgtguDYbHvixGRKsGj4egov7X7Q+WEUM9BBdpdbK0EemYak39iOyx5liJiF2JHB+hsCIjL4mONBWeX6UW2sVj3b9//zdcf11Wcdx2Jz1+gsd1TBgsR4UDseAAfLCliBuWcufLYkiWrLqLDxUnbWGyfTd8KVLuQ4Jnp6vfKR7GPmkZsrWjE/kEm+NsxNT5SjggIgTEitOdlTISinpsvdzPdrGZ/L3xt506glcZDDiSlK1B/OnAi8t6Hwm7n1fhIJyIgBBsjYl2gozQXBTq9OmorK7vNKmU+vh8EWsn6CMvZuZvOgV33LD/SiAi4GY8pMx8QM0iBzg/gVP4MeSdStx5oL9AS1wP1eGSnBGz1UYgREXAzAZNqw0Vxix7o1XVc56gC9XYYvbUITISPCLgZb0llk2dLATHDukCd/el4Cp/0gsq7HkbYh5siAkIQOc+WAmKG1VH488lZaPaDSLWhO4FW/dFkFlSOfBhhHzZEBIQguaRaCogZruZ5oPUUTWefbZjG9KAXqNs9T66IX8fbYQx4ZCEAixERu2ElkGVSLQXEDIY7qduyGwAAIABJREFUkdq3bpiVaT0nuZk93wi0Xr9kx9vh1V8niyMLAViKCAS6GY9JFDOplgJiBsO98DPri2xj662cNyw96sh2ge55GGEfliICga5QiC51lgJijuXVmGqv3bQ+vP1dcfWJewR/rgo07mGEfViKCAQqKFaXOksBMcfyeqA3X47ccltxp1BWpM+GXQ7Q7ntCRHQUK0cblgJiFm1F+r7jqTyo6OS0SFL6K4ORLj3RDoF3btv3g0bEoXWpsxQQ80yfidQJVDmtRqB5Ee33zJ9CI0KCLldYCogFJk/l7AQqRnZCCvTt05DLLxkpIF1i/XSFkn1EeJPjcXSpsxQQO2N/K+e+69CPWKfLexU2v/zSVt37Sinqq+FT2+M6syqMxQ4aPu5fzJWrrEGjfDq+PGmliLeUV7Pbtf9Q6xhei+pOk2JOsmilOdp76t5peyp/yy0RYRMQSwd1DIj3tA3Vr6zUsosu9TaMzZ5p/tyn8r3x5ex205/mvblfSd2ue7d5oX9Z2Q3tNxYlj+/dLwTEzmwR6M4PhO9IWKAr7UagBxRoaF3OaWd2FzIXqIySaXzKHMhAoO1MAGUUaz8SEajui9V2I9DCBBpQjgu6nN2nAgQ6DSfl0M5GyTQ+MxTo/Tjkn+hTOb0JdHoE78WRs283As1IoCnIcWi1odk5CHTWd30M3evBcRSB3o/zqfZbSySwQPWK9Dy/R6ClCTSGLu11nrhATzPHd+5QItBZWocmuB7oqkDnCtQrQqD6dpkLNIYul1uzRmSBdr/wzDFQjjMCHep2+ZL78qMOuAnUtkD9fQSqb5ewQHeVo8UgkjE+bbcLJ1A1YGaCZHwPgdqxvepzcj3QYUO7HxKBam/lK1B/cpxz1VRo2Qh0crT0H+5wAp1MpLf8aJ2NAu3viNpxWr21shDotDgEaqdL21H45AQ6/5tMfzMEqt/KafeRBVsEGmEE6R6BItDbBbqqLNPb8QU6PdL6z4BAzWiLiVh9ZIO1D/p69p3DdI9AEahJoMlNpHdvjXos7xdBoKJVCzs/YXk5O9NHVlj6oLsTafdZ9PcIFIFmKdB7Dft4QKDq2x4EalhQ2fCRFRsEGuM+znsEikDjC1Q30GJ7lkGgfcl7C9TwSA/j0z5ssBZonJVE7hEoAvUt0PspC0dgbifmvoJAExeo4aFy5ufNWWDtg2gg0MkLBLohIiy3M72NQGe2y0qgl+XHGhs+smOLQONcCEWgkxcIFIFq1SJQA5dxKc7KkuJSpOEjO+wFqizeHFihpwkbvma3nfF9BKpvh0CnGyLQ6TeiCtRsjLOylvFZWtLwkR3WPhCL34cdT0Kgsx8jUG23VkCg8rPjCnQUlibQxY/ssI3F5ulLravrGVM7zgbVfh0AABWzQqQlxZM1DB9Z6slyu6sizZufpbyJ2McGABLHrJAUeqBn9cJndTq/3+2cp9OXAApEBAgyEGjV6VQnmV52PIcnXUBCRIBgTaAJjMJXfU71pP2663J2sY8PpAURAYI1gV6XJ3saPrLUk91mCBSSgYgAwZpAE7gTiVN4lV//8PS9f06/5hen07d/Nv7z1en0MESbdie9iCAgorIm0ATuhWcQSSWffDl9MP6zoHyJ3YIpBERUVifYxl+NKeo0ptjHRyOjfDk9Gf5ZUL7EbsEUAiIqqwKNvx5o1In0sY+PRk75Mp6zFZQvsVswhYCIyvotXtqy89VJdNff3GtFenEr557riaSXLlnly3jOVlC+xG7BFAIiKhb3yE4ffDQKdLdnIu23mIgkvXTJKF/+x4/Gc7aC8iV2C6YQEFGxWWRg8uhNRaD7PZUz1nJ2sY+PRh+17X/rv+vf+pv6feUa068+qv7SV5+Pf/CfV9u+GjZ9dRq2rbYaTquG18rn/QentkQ1X17JG9raogeq5jxUBl6VfBGl/+un9SZN25Wypw1IiPQiIpmAMEdEuQGxq5GknuJVbUl66SLy5Z8+bUP1YRvSfYLU+VL9vxLEVb78Q//PftM2ll9onYLum2Ostydfp+/941aBVsnQZ+yQL7L2Jl/+777CriFaA1IivYhIJiDWBVpmQETUk+V25xjPk2tIL11EvvxlH6p//elJibkq4P7oUxHFz0/f/ahLpyFg23hsOictz5uNh2jt4/VF/88/3CrQpqwn/cYPu9aL0v/1U60IrQFJkV5EJBMQ6wItMyAiuel+y0T63Z9n3JFeuqj50gZUG4Jd7DfB30Rc/carU/cX//lpOCOqX9ah283LqwK2C/S24DqAmzf679bF119tsmPTJa+HyuzpPl8mtXf58qR752H3jmhAWqQXEQREVDIQ6K5T5yXppYvIlzZ8X52UV/WLOl/aN6pXTew9H0K9f2d49aI/l2pD+tWwZVVB9/lQ1uZ8qYP/4Vi4Xnu9QdeteNGmh9aAtEgvIgiIqGQgUHqgKmq+POnfGfsMXcejD7TnbZw+Hy7Zvxj/irchPYwEtCdsz8cYbWJ87JCMmWPDC5kgr4Z+hqx9SKhm07r4aQMSI72IICCikoFA69nzkR5snF66qPnS/aXWXnWRV/OqDdDnwwX58VV/tasL0Oq7H8iZKf3YbX/hSSl2nb4f82I433s4V7uSjm3xWgMSI72IICCikoNAHdcq8UB66WKZL32cyZwQ8dnH/9gXeCKu6beXuJT43TyNqauwOxF8OFf7XL7IBvj75byQXkQkExAWg0hflhgQMcTU6cluM3EfUs2hl7PbnC/iNKidZidKGsYK+mEHEa5KL8NJoN0525Avk9q1fNEa4PGn80F6EZFMQNgJtLyA2EtGM3qy2wyBqnjvcLQfdhtqZ2W39kC7czbrDsem08IIpBcRyQSEpUCLC4i9ZDSjJ7vNEKiK4yUvZRBBmSfdT7N+2M+fVm9EmRTudsmrO2fTL3m9Oi1d8kpwst9IehFBQEQlA4FGJL10scyXPua6AB3zRRn2fD5elapvYWlKrYNb3DGnvOEy6FpTn7P9n9qg6/NpF2TogaR5y15HehFBQEQFgZpIL10s86ULyz5znqtRKSfefVlH8bf+6qMuvLXblYcsGecZ2qDkS3frytK0P5kvegPSIr2IICCigkBNpJcutvky3CzS3XgyXGpSb/0Y51IPV6yaQc8n3Yb9ndKiUDvUfGkHUrUbT+rC9HzRGpAW6UUEAREVBGoivXSxzJfvyvUXlHz59eTm4/bjk3qRbOCheONPN65eNnYWXg2FTWvX80VvQFKkFxEERFRyEWi9+v1p19Xoa9JLF9tB11ciJZR8GUNWLA8+huY4b+Th+OlpZvEdIyJfhn6GVvtMvugNSIn0IoKAiEoeAr2Of4NYUNlu1koTdf3V9+fi3EdbXXEy0jlZPLxd4EFf/tGIzJc6S5aWf9TyRW9AQqQXEQREVLIQ6PjokJPr6vdupJcuNqR4x1spZBkRBEQ4chBoffredTyVl3uQZbqQLwHJMiIIiHDkINCzupiI2yPoHTkBAJjYzUa6nuw2e/tUKPO840hS7GMDAImzl4xm9GS32dun4rLndddbOd9kyG9/cPowdhtKJcuIICDCgUBNZJku5EtAsowIAiIcGQi0Oml/sPivsGSZLhAQIgIEOQj064+Vi6C7Lk9PuoCEiABBDgKtDdqdxddL2+03CJ+bQKtTtZo/+Hefhb6eXDN/dGN5//HZ6d0vvLQsBplFhE6QGLmrSvy9v1ffeVm9M3vZIO/Dr5OBQLX1QFv2uBKaVboopvMZoghUJauI0AkUI3fTwPjdjxDoDnqy2wyBWiFEJ7sD/spFoBlFhE6oGLmbdmqbihBoaD3ZbYZAbaj/5ncpcXfyeYr2+nZnCvLOoIwiQidYjNxNhFwdYwS6g57iVW1JRulypwRsfZ3rE18FI1CVjCJCJ1iMVAX/WA2TqvAfI9DweopXtSUZpctLtQdwtxC9LiBQlYwiQidYjFRl/eRHSo/27vTuvyDQ8HqKV7UlGaWLSA5l5nR72euT/u02eKsoVraeXOWcXBtbEKhabn1uWGXPOBZ7p3z2ph2SHcpVMkiUkQcZRYROsBipjvcnd+Ob1Vc/fD0KtKDDr4NATWSULvMdim7SSj/metfJ8E5I0UGgk3Jrgf7bZ+07j9oh2PEa2N1QctNFGTJoUkYeZBQROsFipBZoVcyjscRPBoEWdfh18hDoVRw9buWcoY5HbVx1CNIuTLtexe9+pA+ZbhLotNy6wL/tv/53n/WfNZ2LO6XoR2/GDJqWkQcZRYROsBipBap0Lasz+C96gZZ1+HVyEOg3n8ujh0DneKmHdj0Y2vy7Dv8mnNuwfrllCsuMQLVymz5nnQdt57N+VSdI/1Hz/fpFnZJdBulty4KcIkInVIzUAm3/pyvyw66U0g6/Tg4CFQvSI9Alxr/1ykWmrhdRhW+bD3VevN4UsrLv0aeYLLfPjnbr4VX9Yqysu7rWZdBM23Igq4jQCRQjjTuHi6r1GXx/3As7/DoZCLTugO63foggs3R5OaRHG5xKL+L12BH4423joDMC1cqtBdr2PsZ0qF7Jaro3ugyaaVsOZBYROkFipBHocA5/VxetGbiIw6+TgUDfPt37YZwD+aVLr7vufHq4jDV0DyYD5PYljgLVyx1lOfeqoZlbPWbQbNsyIL+I0PEfI+3Ze3cOXx3gR2+mAi3k8OvkIdAd1w8R5Jkud53p+tFw0eOoI3kSr1KR64NIerlmgY7liwzS25YBeUaEjt8YadXZmfC3P6g/HQVa0uHXyUCg1Sk8At3GXRPiykCnEqUvbxaoXq5JoOrWYwbNty19co0IHZ8x0gp0ODtXr32Xdfh1MhDo/cX1Eujbp7PjTe3N9TZSzihdfvsD9ZzrZXdVX4/MJhM+0d/aJtBJuQaB9n2Nd78QF8Fm25YBGUWETrAY6U7em/9Uh/nRm0GghR1+nRwEWgnPaQ3lqus6J9BzFwQWD5jPJ13ktOchlLWRgCp+f/8vNgWvLlC9XINA706TN4ZzuCyn/+UTETrhYqQTaHMO/3qYnvThm+IOv04OApVL0ttznp3xNE6KWp8OlU+6vJbzkZtBzvpS1nQooA51XYkrJU+21stdFqhyQ+Br9Rxurm05kE9E6ISLkXH46N0v2jP4TqClHX6dLARaG1TBbh5oM/1e37Quqh7Ur29uWr0ykE+6jDMxa7pgvRPT/eqEaE6d5F3Oa8ykklaujUDrFirzWPS2ZUE+EaETLkbuxrvOftKewWsCLePw6+QgUKc7kVrn6puee2+OzwkxtDCfdGkuUrVX/pvrTo/6F01kv+wuW7XT7zZNHJmJb61cwyn8yy5ThiUjuwzS25YFGUWETrAY6QXajA21B7M7hS/s8OvkIFCHO5GacaI/mbkGWn3Qv3dZH0jKKV3uxG/UBr966V+5st+OH1gy10GYlmsQqLqpmkFaGXmQU0TohIqRXqDNbM+h2A/fFHf4dTIQqMudSLVzn80NIlX9zgfjy7UJ+lmly1xIjtNF1IUcpitFrBVrWI1puHdlcRrTcOvLn32mTnbRysiDrCJCJ1CMDLfB14b+pK+p93BBh18nA4FWncbN05iamU9zAlW6nQuD9KKFeaVLP2dE7TncKZ2NcRj2zj5sZwUqyzVPpG8z5ZFyWWxctUcpIw8yiwidIDEyCFTcPTHcGV/O4dfJQ6BuE+kXBPps/HjtImj26QKeISJAkIFAne9EmhPoeRRo9VoX6AkAwBknVblhP4jktpjIvEBHaSJQAPCLi6kc2TCNydudSFKga+XG7J9DihARIMjgFN55QTuXHqiEdAEJEQGCDATarv2hYLsiPQIF3xARIDiaQLeOwtvVBEeBiADB0QR63TgP1K4mOAoiIr6aJ1rjYH8yEKgzPu5ECtEuyBcbgaLVA3E0gW69Fz5EuyBf3AWKV4vkaALduhpTiHZBvngXKFrNm8MJdON6oGFaBrmyk0Dxai4cRaDVqXvX39y2In3I9kF+xBXoPNF+DEhcoNr4u/so/CjQbc9EsqsJjkKKAl0g2m90KA4o0E1P5bSrCY5CRgKdJ9ovVyglC/R2EChIshfoPNF+z+xJWqDRQaAgKVSgE6L9vPmBQE0gUJCoEfH9GWKrLwTxfu0MQKAm5vob0RoDCbAm0AMoNd6PnyII1IThhC1amyAm2wVatEzJAwRqYv2KV7SmQRRERGw3aNky/eqA+YBATdgOGURrIOzMSkQgU0G0w7QfCNTExjHXaO2Evdg8Co9SB6IdtJAgUBNuk1aiNReCc9M0JkeZFqrUaMfQK8UK1HC7Ub2eiMVKIvc3pouf/YCk8DYPFJlKoh3RGylVoMs3vH/zeX9H0/qjPj2ki8+dgugEmUiPTDWiHeCtFCpQw5JL5/Ge0FWD+ksXv7sHsdjpTiRkKoh2uNcpU6CGRT/7t+pT/NWb6ll/HCTRbuVEpiPRjv4MZQrUsOz8ub8wWht0rQsaKl087irsShL3wiNTlWix0FCkQE0PPhofBr/1mUiFHXlwIQmBqiBTSdSA2LvuUAWbHr0pBBqrBxr1kMMNJCdQFWS6wF4BsTPBqr4YHv4+fFZ9su2hcvkeZPBG0gJVQaYrhAiInQkp0L5vqWmyvvT5QPmvkf3TxeOvAAHIRqAqyNSSWwNiZ4JVfVZOzs/Tfua4zP2cP6er3ysfJX4kYQ+yFKgKJt3IakAsGyM0AQU6SlMT6DATdPYCaCICtTt4sDuxI8IrmNQRERDFC3RiynEi/fpjORNJF3+/DNxIIhHhH0y6gaWA2JkoPdBzd4d8fUdnUoNIW44axCKpiAgFJl1hKSB2JoZAlZn1l9NkhpNOiuni72eC7aQYEeHApPMsBcTOxBiFlzOc1rqgCaeLv18LNpBwRIQEkwqWAmJnglV9XZ4HqnZI12fSp58u3n4zsCL9iAgLJq1ZCoidiXEnUmkCbfH2y8EKuUREcA5t0qWA2JkY98LLU/hSBNrh7xeEBTKLiB04okmXAmJnYqzGdD2pg0hr69nlmS4+f0mQ5BkRu3Agky4FxM7EWA+0WY/+sfrC2MKc08X3jwr3mUfETpRv0qWA2Jk9V6Svzurbnmf7QKSWtVlMJaRLoB/4qBQQEftRrEmXAmJn9nwm0iBQ5V74VX8WlC4hfuMjUk5E7ElpJl0KiJ3Z86mco0D7Tujq8zzu5a+T56Ge4PlHPh4I9CYKMelSQOxMXs+Fz/NQzxLvB80eBOqHvE26FBA7k79A0z/UBuL9rBmDQD2TpUmXAmJn8hKo2aCpHuo1ov20mYJAQ5FTci0FxM5kJtDh58vpUFsR7ffNDwQanAySaykgdiZXgQ4UJdJoP3JWIND9SDe5lgJiZ7IX6EC6h3oj0X7pXECgEUguuZYCYmfKEehAESKN9nNnAAKNRzq5tRQQO1OgQDsK8Gi03zxtEGh0EsitpYDYmT0n0guuyw+Vk9yaLgkc65vwcyhKAoEmQ8TcWgqIndnzVk6F4W749XuRPKVL3h71eViyB4GmRozkWgqIndlzMZERZTWRvRcTyVikno9PtqzlS+zjdFh2za0NARGSGMvZNaf2jTgv0Zazy9ajno9SjmzPl9gH7Vjsk1s3BYQ/YiyorDyL8xr5qZyZetTnccoPL/kS+xCWT+Dc8h0QjsR4pIfyKM5EnsqZpUc9Hqy8CJQvsY9nqQRKrvABYUWMh8opH1mw55BBfh71cKSyY7d8iX1wi8K3R2MExAwhnwu/9Fjj6/qFT4UIY665dUg9HK6ciJkvsQ919phza0NyKQelVIH2kzyn5+nNR83zkPaYB+pOXh71eOwSJ2a+6MQ+7nlyu0eVQ1CkQM+KHc9SoPU/L4Z5oKcJykfBD+wMOXk01NFMirQEqhM7CHLCPbmUH3wqjD3jI6BAR2nqAv3p8hzR5ATakY9HQx3SVEhdoDPEDonUcUgu5dc9gEDVc/X25L0ZVpqZI6qRikB7MvGo14OZFhkKVCd2fKTJBpEqv2Whp/BLPVD1afD6HFGN1ATakUWH1OPxTIgiBKoTO1gSwia5lF/uYAKtO6TDtKbz6kBSogLtyMKjhYm0UIEqxI6XRDAn1/hzFSlQwyj8WZnGtD6lKW2BduDRHSlfoCOxQyYFVg1apECvy/NAL+UJtAOP7sGRBDoSO2ricyyBGu5EuiojR2UJtAePhuSYAh2JHTiROYhADffCV0IdeqS5XwM1Qoc0CEcX6Ejs0ImJ8jMUKVDTakzDR8KlC2Qs0A486hcEqhM7evZH2fkyBWpYD7T/qPksznqgEcCjnkCgJmIH0F4ou1ymQPUV6auz+q4rOn60+4r00clCo0l7FIHaETuGwqLsaKEC1Z6JNAq0e6ScjT+LE2hPDhpN06MIdCuxwygEyu6VKtDpUzkVgXZ2XX+kXLkC7chBo4mJFIG6EzuQ/KHsVLEC9ULhAu3IQqOJeBSB3kzsQPKAsjcI1MQxBNqSh0ZjexSB+iJ2IN2CshsI1MSRBNqSiUajeRSBeiZ2IDmhtB+BmjieQFvyuDj6VQSPItAgxI6jjSgtR6AmjirQlmWNpubRnp0jAjwTO35sUZqMQE0cW6AtBo0mK9KW4BEBYYgdOKsobUWgJhBoj1GjaXu0x39EQFBiB8wySiMRqAkEOqEAj3b4iAjYgdiBMofSvGIFOplIr/H1xxbPNUag85Tj0R7bsEKgkYgdIAKlXaUKdHor55Tarwj0VorzaIdlRMDuxI6MFqVBhQpUW0xkSi1YBOqJ8jqkgsWIgFikExFlCtSwnF1Ls6AIAvVLqR5djAiISwoRUaZADQsqN7QXSBFoEIrz6GJEQBJEjYgiBWp4pEdD/aS5nyPQsJTj0cWIgJSIExFFCtTwULmG+rHHFwS6D/l7dDEiID32jogiBXpZfqxxTSXVx/cIdF8y7pAuRgSkyn4RUapAezlWAp1eBK3eqjqlCDQKOXp0MSIgaXaJiCIFqj6v+KwJtH1nQaCnCcpH4Y7H8cjKozI+fAYqBCd0REyFsWd8BBSo+viOiUCv7fk9Ak2APDwq48NnoMJOhIuIAwhUivLt03ZUiVP4hEjbo4sRAVkRJCIKPYVf7oGeu0Gl7QJdx98ROiaJdkhviAhIDd8RcTSBDt4MIdB1vBy+0knNo0EjAmLgLyKKFOjyKPw4QzSOQFfxkvFlkIxH40YEhMJLRBQp0OviPNDL5Irv8nJ3bQsTTBd/YsiD+B5Vf/0UIwJu4NaIKFKgy3ciFSDQdTz7IxHieVT9bfOMCFjBPSKKFOjyvfCHEOgqQTSzExE6pOpPV2hEwP2WtFC+VKRAV1djuk/2GmgMglgnMHt6VP2tjhERB2ZrRJQp0NX1QBHoIn7lE5hdPKr+OkeMiANiHxFlClRfkb46q5ddUQRqhycJhcXs0VtNqv4cRMRxsIqIQgWqPRMJgXrhNhMFZ02kbiZVfwAi4mCsRUSpAp0+lROBhuAW2QVk1aPbTKruMRFxSJYjoliBeoF02YJHBXrBwqNWJlX3kYg4LrMRgUBNkC7uBPPidm70qLpXRMTBmUYEAjVBunhgF0fa4eZRdWeICBAgUBOki0d2lqWRTSJVd4KIAAECNUG6hCCSNGex8ajadiICBAjUBOkSkrjqFJg9qrSZiAABAjVBuuxCbH0OrBuUiAABAjVBuuxKbH8OIFCwpFiBTibSq9R3yp+WFhkRkC5RiO3PHgQKa5Qq0OmtnCOtWZXb5A2QLnGJbdAWtUVEBAgKFai2mMjA6E8Lg5IuaYBAIVHKFKhhObtLf2J/Xl7qboB0SQwECmlRpkCXF1SuO6DdIiKX9S4o6ZIoCBTSoEiBLj/So+6T9t3Obz5fXZCJdEkcBApxKVKgyw+VE0I9I9BSQKAQhyIFell8rLHgvDqViXTJCwQKO1OqQPuuZSXQJUtWJ/qiczoD6ZIlCBT2okiBqufmy93M6eXRtk0TQjURwoNAIThTYewZHwEFOkpzUaDTq6NdmxBocSBQCMYBBDo/UlT5kzuRDgUCBf8Uegq/2gO92tzJSboUCAIFjxxUoHb+JF3KBYGCD4oU6Ooo/Pm0OgDfQLqUDgKFmyhSoFfzPND6FqS1u+BbSJejgEDBiSIFargTqX1rfp1QHdLlYCBQ2EaRAjXcCz+zvogB0uWYIFCwpEiBGlZjquVq7U/S5dggUFijTIEurwdqsQSTAukCEiICBGUKVF+Rvu94XuVtA6zGBJsgIkBQqEC1ZyJ1Aq07oAgUnCEiQFCqQKdP5ewEqj4RCYHCZogIEBQrUC+QLiAhIkCAQE1s+HUs12GZ36p/t/qv8nIs+XQ/fdNHW9TqFoo56dVq3xC1Ka+1PRGfKe+epu+pn3Vvig/130iW0n/jfmj/QtHThp0WfnV9p1axXpdndru5X0ct+qRt6KU9qxvNRedcG+Z+77lqxO89vFAO23Q7cSjVw3vSmqW1UP5u06LlWkrKu3NfcQiIACDQ6bsIdPoNBIpA7+cPGwJFoNN3Eej0GwgUgd7PHzYEikCn7yLQ6TcQKAK9nz9sCBSBTt9FoNNvIFAEej9/2BAoAp2+i0Cn30CgCPR+/rAhUAQ6fReBTr+BQBHo/fxhQ6BBq55MpLf8aAIC1atFoFYgULkhAvVPyKqnt3LafTQFgerVIlArEKjcEIH6J2DV2mIiVh9pIFC9WgRqBQKVGyJQ/4Srenk5O9NHOghUrxaBWoFA5YYI1D/hqjYsqGz4SAeB6tUiUCsQqNwQgfonWNWGR3oYn/ahgUD1ahGoFQhUbohA/ROsasND5czPm5uCQPVqEagVCFRuiED9E6zqy/JjjQ0fzYBA9WoRqBUIVG6IQP0TUqD9SsmVJcWVTsNHMyBQvVoEagUClRsiUP8Eq/qsLDV/lpY0fNS2aYJ1nQh0+ikCtdzQ9CYCnRaTnEBdjXE7AQU6mlET6OJHbZsQqFoMAp3sIAKdVItAixeoePCR4aMZtF8HAEDFu76sSbEHKol9bAAgcbzry5r0Baqyyy9FJRlVcoBdpJLUwQ2dAAAJRklEQVRolVgQrBneRuFVyjk0VOKnkgPsIpVEq8SCYM24Lk/2NHy0QjmHhkr8VHKAXaSSaJVYEKwZ3u5EUinn0FCJn0oOsItUEq0SC4I1w9u98CrlHBoq8VPJAXaRSqJVYkG4ZvhajUmlnENDJX4qOcAuUkm0SiwI1wxf64GqlHNoqMRPJQfYRSqJVokFAZuhLTtfnbp3/c0tK9KrlHNoqMRPJQfYRSqJVokFIZsxffDRKNAtz0RSKefQUImfSg6wi1QSrRILgjZj8uhNRaAbnsqpUs6hoRI/lRxgF6kkWiUWJNIMS8o5NFTip5ID7CKVRKvEgkSaYUk5h4ZK/FRygF2kkmiVWJBIMywp59BQiZ9KDrCLVBKtEgsSaYYl5RwaKvFTyQF2kUqiVWJBIs2wpJxDQyV+KjnALlJJtEosSKQZAAD5gUABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcCR9gX798fT5x25P9LSoRC0yQCV9Tc/CVfLN56eBvpoQe3IVNfiv5HISPA5SCcDNpC7QNmdqvvPL7i3HZ8obGLUzKMF/JS31/gSsZPy5hmoC7En75ybkMZkVaKhjAuBM4gJVhdBl62X6xs3MdNv8V9JxViwdoJLraborASoZ/Hk6vf+bMJXMCTTYMQFwJnGBXvrsqcXzoH5RZ2+dttf+DX+V1LZujRCgkparIukQlVzEeXWYSoafaTg4wX6u+7aWUAce4FbSFqhywnvpOh7nPn2qhPJzLld1QLuCquraV/4rue8rOKnn1t4rOU97ZwEquQwdz2v3KtTPpdYRtBIAR9IW6HXsbNTn2c8aBfWKuHgaT6gSsq+k68AFqKSh2ofv/LwXaIhKqgo6t3UEqGT8e9O/DPVz1Qx/00JWAuBK2gJVU+XcmEexXfVS2uJ22jqCVVL7eTjJDlFJZRl5dhugEqXIcJUMnPsICHvgAdxIW6Aq56Yroii17s/5HU3oezmBKqkS//F4lTJEJVWP/VlzmaDvIwao5Kr1/wIek6s6ThXuwAM4ko1AKy/UqaSMkijnkn649Ncnw1TSnl+rAvVeyeX0zp+L8fEAlTRFthMXninv+K1ELy7kgQdwJRuBdj2Qs5hG6TGPzsrUnzCVDF3ocJX0MyUHgwaopC6mn1HUdgSDHZNhBD5oJQDu5CLQ/rqXmjsBBRqgku7U9xKwkrpf2BZ0PfV/b7xXUhXzUzkjM9gxGUaQQlYCcAOZCLTyZ9/bUfNoMunxBvrJ9DOW9lNJdwliSaBeKlGE0/1g/itpf6hmV/oZmaGOiToJI1wlADeQh0Cvw90nQTsi9fiLbgRfZ9ftHoTsgcr66nr8V9IItBvO6WZkhtoTca2THiikSBYCHf0ZOI+6LlyASvSxo8BGaK8ZBzmFHycRhbJ0i5iuhEAhRXIQqJqygQdjW+34r2ScxRh0FF7hGmhPxpmZIStpEBPmGYWHFElfoPU54zhz+xp2OmBbvP9KJotjhKlEEGpPhNaCVdKVpXgy8M8F4ETyAq3XkHgs/hnyhpQ2Tf1XMiPQwHtyCXXjljqyE+rnmimLO5EgRVIX6HTliAC3ROv3i/qvZEagYfck3G3qw4SI+3A/10xZ3AsPKZK4QNWZgC3+F+VRjNC/DLjyz3gtL+ie9P3EAHsyFBn455oMFbEaEyRI2gLtlmBS8b8sZF3JMMUo+AKXo0AD70krmQB70hc5zNYP83NNr3SyHigkSNoCvcoT3/5Gdc8LkysrrCtj5Z4r6VFGk8PuyeNQlajXI0KtSH8/3nkwUy1DSJAKSQtUfdbGINCgTxJSbnzxXUnHRdzT7buS0aAhn+40/F1TJ4T6rkQfKuKZSJAcSQtUfSKSIoVgT+VUEzbUEyDFQzcCVHKVfwjCVNK6TO0I+q9EX3eUp3JCciQtUACAlEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQCFprqfT+7+J3QiABRAopMw3n59Op2exWwGwAAKFlPn640qgD2K3AmABBAopczm98+end34RuxkA8yBQSJi3T0/v//fT6XHsdgDMg0AhYa6VPCuJfueXsRsCMAsChYQ516fvZzGMVPn0VBm17pt2o/OVZRlpgjggUEiXrz+uLXlVh5Eup5b/1Au0GWY6NVKN1k44LAgU0uXSXP785vNxGOl6GmkEOvgTg0IEECgkS2/OyzCMVJ+/15689gKt54k221yZ7gQRQKCQLFXv8kH33653eTkpJ+71q/FGpcqtTHeCvUGgkCz96FHdzXwm3hlUehZn90x3gp1BoJAq4/ylvp+pzGhqx5eUsfihvwqwHwgUUkUdMGo7moov25fNnKbJsBLAfiBQSJRmHZGR+vS87XY2tAJVxuARKEQAgUKiTORYn7trPVDFqAARQKCQKBdlUKgbRpq7BsrsT4gIAoU0kdOS2kH3cThefwMgAggU0kQuRV91OGudDvNA69Gj+tVlvAGJaUywPwgU0uQsfFh3NR+MdyI110drgTbD8M+67ZlID3uDQCFJxruPWq7KPZzqmLv6Bh1Q2BsECklymdzaXnc1n92bVmPCn7A/CBRSRB8dOo93I9WdUeW+o9ap3IUEEUCgkCXcuAkpgEAhI8bFRM6cskMCIFDIiGGonTF3SAIEChmh3t5JBxTig0AhJ674E1ICgUJenBlzh3RAoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABH/n9s1EySoz/6sQAAAABJRU5ErkJggg==)
plot(effect("Treatment:Age", arth.polr))
![](data:image/png;base64,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