2017 8 31 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110111112113112113113112114114116118119118117117116115115113112112112111110110109111113115118118119119119119120120119120120119119120119120119119119120117117119120120119121121119121121120119119119119119120120999999999999999999999999999999999999999999999999999999999999999999999137137138138138139139139139139139999999999138138138137137137136136135135135999999999134134134133133132132131131131131131131131131131131131130130129129128127126126125124122121120119117116115114113999113113113112112113114114115116116117117118118118118118118118118118118118118118118118118118118119119119119119119119119119119119119119119119119119119119119119119119118118118118118117117117116116116116115115114114114113113113112112112112112112112113113113113113114114114114114114114114114113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 98109109109109108110111111115116113113114113113111111113112113112108107108109109109106108112114117116117116116118118118118118119120120120120119119117118116119119119120121121122122122122122121119117118119119120999999999999999999999999999999999999999999999999999999999999999999137137138138138139139139140140140140140999999138138138137137136136135135134134999999133132132132132131131131130130130130130130130130130130130130129129128128128127126125124123122120119117116115115114113112112113113113113114115115116117117118118118119119119119118118118118118118117117117117118118118118118118118118118118118118118118118118118119119119119119119119118118118118118117117117117116116116116115115114114114113113113112112112112112112112112112113113113113114114114114114114114114114114113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97104107108108105108111111112115114110109110107108108107106106106103102105107106107106104104107109111112113112114117117116119120118120120120119118120121121120121122121121122123123124122123121120116116117119999999999999999999999999999999999999999999999999999999999999999999137137138138139139139139139140140140140140140139139138138137137136136135135134134133132132131131130130130129129129129129129129128128128128128128128128128128127127127126125124123122121119118116115114114113112112112113113114114115116116117118118119119119120119119119119118118118117117117117117117117117117117118118118118118118118118118118118118118118118118118118118118118118118118117117117117116116116115115115114114114113113113112112112112112112112112112112112113113113114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129143142136132126125125127125126124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95113114116116116113113117117118116111112114112108107106105105103103103105106107106106105104106106106107109111116118118119121121121119120118121120121119120120120120122121122122123123123121119119117119999999999999999999999999999999999999999999999999999999999999999999999999999138138139139140140140140141140140140140139139138137137136136136135135134133133132132131130130130129129129128128128128128128128127127127127127127127127126126126126125124123123122120119118117115115114114113113113114114114115115116117118118118119119119119119119118118118118117117117116117117117117117117117118118118118118118118118118118118118118118118118118118118118118118118117117117117116116116115115115114114114113113113112112112112112112112112112112112112113113113114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137143144134128126126125125124124124125121120999999999120136132134133132999999999999999999999999999999999999999999999999999999999999999999999999999999 94 87 95 96123100117120126127127124123116116116111108106105104103102102103106107108108105106107108110108111112114116118118119120120120120120119119120120119119120120120123122123123124124123120119999999999999999999999999999999999999999999999999999999999999999999999999999999137137138138139139140140141141141141140139139138137137136136135135134134134133133132131131130130129129128128128128127127127127127127127126126126126126126126126125125125124124123122121120119118117116115115114114113114114115115115116116117118118118118119119119119118118117117117117116116116116116116116116117117117118118118118118118118118118118118118118118118118118118118118118117117117117116116116115115115114114114113113113112112112112111111111111111112112112112113113113113114114114114114115115115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143999999999999999999999999999999999999999999999999999999999999999125126127139146141139133127125126126126124123122122122121123119119120131131130132131130130999999999999999999999999999999999999999999999999999999999999999999999999 93 86 94999999999999999999133133127125122120116112109107105104102102103102104106108109108107108108112112114115117117119118119119120120119119120120121121120121121121123123123124123124124123121999999999999999999999999999999999999999999999999999999999999999999999999999999999137138135138139140140141141142142141140139138137136135135134134134133133133132132131131130130129129128128128127127127127126126126126126125125125125125125125125124124124124123122122121120119118117116116115115114114114115115116116116117117118118118118118118118118118117117116116116116115115115115115116116116117117117118118118118118118118118118118119119119118118118118118118118117117117116116116115115114114114113113113112112112112112111111111111111111111112112112112113113113114114114114114115115115115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150999999999148150148147147146145143144144143141145144144145143141141140141139134999999999999132138138136135134133135999999999999999999999126128126125123122999999999126126126139139136134126125121121125124121126123120119118115115122127126126125128131131129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110137133130128109106105103102102100100102106102105109107108106106109111112115117117118118118117119119119119119120122121120120120121122125126126125125123122122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138133136140143144144143142143141140138137135135134134133133132132132132131131130130129129128128128127127127126126126126125125125125124124124124124124124124124123123123122122121121120119118117116116116115115114115115116116116117117117118118118118118118118117117116116116115115115114114114115115115115116116117117117117118118118118118118118118119119119118118118118118118117117117116116116115115114114114113113113112112112112111111111111111111111111111112112112112113113113114114114114114115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148151150147149149150149152148148145144144145144143144142141142142143142143140138139139136136134999999999999132136136135135130129130127122124126129133130127125124123121121125999124126126126127137130127125121121122125126126126125124121120116117122125124122121123127127127125123112111110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112128117107105105102101100 99 98101103106103101109110107108109109111114116116116116117118117119119119119120121121120120119121123124126127126126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137132134138141143144145144144147140140138136134133133132132131131131131130130130129129129128128127127127126126126125125125125124124124124124124124124123123123123123123122122121121120120119118117117116116116115115115116116116117117117117118118118117117117117116116115115115114114114113113113114114114114115115116116117117117118118118118118118118119119119118118118118118117117117116116116115115114114114113113113112112112111111111111111111111111111111111111112112112112113113113114114114114115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147148149150148150149147149150149149152149147144141141141142142143142141145142142141141140137136134133132132131131129132133133134133132130127125128122119121129132129130129129128124122120121124125119127127126125126122119123125122124122121120121119121115117118113112112115120118117115113125110108999999999999999999999999999999999999 92 96 95 93 93999999999999999 97 90 87 88 98 98100106112117112102100100101101 96 96 94 96 98105108102109113111110108109110112115115116116117118119118120121121121122122121120120121122124125127127126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136136135139142144142142143143142141139999999134132132131131130130130130130129129129128128128127127127126126126125125125124124124124123123123123123123123123122122122122122121121120120119119118117116116116115115115114115115116116116116117117117117117117117117116116116115115114114114114113113113114114114114115115116116116117117117118118118118118118118118118118117117117117116116116116115115115114114113113113112112112111111111111111111110110111111111111111111112112112112113113113113114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148148148149148147150147145144144143143145146145142139138140140141141141140142143139139139137136134132133132132132132131131131131133132133131130129130126123127130130132130129129127128128125124126126124126123123122123121119118121120119115113112112117117116108108109109117999999999999999999999999999999999999999999999999999999 96 94 92 90 91 92 92 89 88 89 89 89 91 88 89 88 90 94100106107110107 98100 99101 98 93 93 96100103104105107104110114113112109109110112113114117118119120120119121121122122122122121120122123125125128129128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135135138138140141141140140143141999999999999999999125127130130132132129129128128128128127127127126126126125125125125124124124124123123123123122122122122122122121121121121121120120119119118118117116116115115115114114114114115115115116116116116117117117117116116116116115115115114114114113113113113113114114114115115116116116116117117117117117117117117117117117117117116116116116115115115114114114113113113112112112111111111111110110110110110110110110111111111111111112112112113113113113113114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146150149148149147145149148148146144143141141141140140140141138137139138140138139138140138139138136136136136135135134132130131132131132132131131134131131130129127128130128131132127127126126125127124124127126126125124123120121121116120117115114112111111108105106107107107108106106114999999999999999999999999101104100 99 94999999999 92 93 94 92 90 91 93 94 97 94 92 91 93 95 91 93 95100 96 95 97 97 96 93 93 98101103100100101104107109109105111111112112114114113112112113114115119120121120119120120121121122123123121121122123124128129129123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133136136139139140138137134134999999999999999999999999129127129130130130129130127127127127126126126126125125125124124124124123123123123122122122122121121121121121120120120120119119119118118117117116115115114114114114114113114114115115115115116116116116116116116116116115115115114114114114113113113113113114114114115115115116116116116116117117116116116116116116116116116115115115115114114114113113113113112112112111111111111110110110110110110110110110110110111111111111112112112112113113113113113113114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150148146146146143146149149150140141138138138139139138138137138137139138138139137137137137138138137135135135136136134132132135133132132131131133132132131130129129130130132132133130131131132130128126126127130127126124121122120120120120116117115113108107107106108109109108106104101103 98 99999102102102 99100 98 95 95 94 91 89 89 89 89 90 92 90 92 94 95 95 96 95 94 94 94 93 89 88 86 88 93 91 94 94 95 98100104105109108109110110113111109115114113116116115115113113114116117120119119119118118119120121122122123124122124124127129129123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131134135136138138138137137136133999999999999999999125123123125127126126126127129129129127128128125125125125124124124124123123123123122122122122121121121121121120120120120119119119118118118117117116116115115114114113113113113113113114114114115115115115116116116116116116115115115114114114114113113113113113113114114114114115115116116116116116116116116116116116116115115115115115114114114113113113113112112112112111111111110110110110109109109109109109110110110110111111111111112112112112113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146147148149150147147149148149149147143140141138134136136136136136137134136136137137137137136137138137137137135135135134134134134133133133132132131131131132133133132129129127128131132133133133135136133133131131132132130129128129127127124122122121120121116111109108108111114113109110108105100 99100100101101102 99 97 95 94 92 92 89 88 87 89 90 91 91 90 89 92 95 99 95 96 94 94102 99 99 93 98 96 94 93 95 98104107107109111112112114115116116114111113115117116116114116114114117118118116113114115115114117118120121123124124122124126129131125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134130131133135135136135134134132132999999999129124124124123123124126126127125126125127127128126126127125126126126124123123123123122122122122122121121121121120120120120119119119118118118117117116116116115115114114113113113113113112112113113114114114115115115115115115115115115115115114114114114113113113113113113113114114114114115115115115115115115116116115115115115115115114114114114113113113112112112112112111111111111110110110110109109109109109109109109109110110110110111111111112112112112112113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145147148148147151146145144144143141141140138137138138136135135136135135132134134133134133133135135135138137135135135137136136133134135134133132132131130130132132134134135135133130132133131131134135135135133132135133133132131132131130131130129127127127125122117114113114114114114115112110107105102104103102102100100 97 95 93 90 91 90 90 90 90 90 91 91 91 91 92 95 97100 97102104108107108107107107110110110111112113116118117115114112117116114118117117117116116115115114115114111111110110111113114115117118118118120122122124125127129133125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131130131133133132132132130130131131999123122122124124124125126126126126125126124126125125126124125124122123124124124125125122122121121121121121120120120120119119119119118118118118117117117116116115115115114114114113113113113113113112113113114114114114115115115115115115115115115115114114114113113113113113113113113113113113114114114114114114114114114115114114114114114114113113113112112112112111111111111111110110110110110109109109109109108108108108108109109109109110110110110111111111111111112112112112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153147146147146147148147146145142141140139139138136136135137135132133133133133130131131131133133134136133135133137135135132137136135134134135134134133132130129128129132133133135135133132132135135133133132134134134135138137137137135135133134134134133132133133131129126123122126119118119118118116116113108106105102101100 99 97 94 94 93 95 91 92 93 94 94 96 96 93 93 94 97101105106104106111107109110114113116118116120121120122123120120119116121116118120121120118117114113112111109108109107108111115116115116117117117119121122124125127129124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134136133132131131131129130133129128130127127126125124122125126125125125125126124125125123124123123124125124122121121121122122122123123122123124120120120119119119119119118118118118117117117116116116116115115115114114114113113113113113113113113113113114114114114114115115115115115115115115114114114113113113113113112112112112112113113113113113114114114114114114114113113113113113113112112112111111111111110110110110110110109109109109109109108108108108108108108108108108108109109109109110110110110111111111111111111111111111111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150153152151150152150147147145145145145145140139138135135136135134135134133131133132132133128127128129133131131133134132133133132134134134133132132132132133132131130129129127127132133132135136135132134137135133132132134133135137136138134139138137136139136137137136134134134134131132131130130124123126123116116114110108107106104102100 98 96 94 96 95 96 98100101101100 99 96 94 98101105108110109112114111114116117115119119120119120125123125123124123122121119121122122121119118114110109110110107108107110113116116114113115117120121122123124125126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134135134131129128129129130126125123125125126126125124124124125125125123124123124122122122122123123123122121121120120120121121121120122123124124123122122118118118118117117117117116116116116115115115115114114114114113113113113113113113113113113113114114114114114114115115115115115114114114114113113113113112112112112112112112112112112112113113113113113113113113112112112112112112111111111110110110110109109109109109109109109109109108108108108108107107107107107108108108108108109109109109109110110110110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151148149149152151151149146144144143142142144139136132131133134134132133133135134134129132132132127129130132131129129131131130131131131130131129129130130130130130128128127127128129132134135135134134133134134134133134134133134136138136135135136138138140140138140137136135135134135135134130129129127128130127122119115113113114112109107102101 98 99103103104102104105105104101101102109112114115114114115122122122120121121125126124120121125124125125124123125123123123124122123124120117114111111112109107112112111114115115117119121124123124123124120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133135138137130130130131132131125123122121124125124126127125123127127125125124122123123122122122122122122122122119120119118120119119120120120122123123121123121118117117117116116116116115115115115114114114114114113113113113113113113113113113113113113114114114114114114114114114114114114114114113113113113112112112111111111111111111111112112112112112112112112112112111111111111111111110110110110109109109108108108108108108108108108108108108108107107107107107107107107107107108108108108108108109109109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147146149150148147145146148147145142143141140140138134132131132132133133133134134131131135133133132133129131132129129127127133131131131132132131132131129129129128128128125126128127128129131132132132133133132132135135134136135136137139140137134134135138140141140142137136136135133132131130134130131134134133128127127121122116117117116116117108105103102104105106106107108110108107108111119121119119118119121127128124117124124127128127127126126127127126124124127127127126124122122124114117117116116116114114113111111113118121124126128128126120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130133134136138139133132130129130130130128125124124123123126127126127124124124131123121122122122122121121120119119119116117118118119118118117118118119119120120121120119119116117116116115115115114114114114113113113113113113113113113113113113113113113113114114114114114114114114114114114114114113113113113113112112112111111111111111111111111111111111111111111111111111111111110110110110110110109109109108108108108107107107107107107107107107107107107107107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149144145147147147149147146143144143140137139139139141138135134133133133132132133129130131134135135134133129132132129128129131132132134133133133134134132131131130129130128126127129130128129134133132135132133133133133134135136136136139138139137138136136138137139139140136137136135133133133134135136135134132132131128128127126124123123123121119117111108105103104108110108111115115115116118119123125123125126124123127125127131131131130128128130128127128128128129127128128128126124122123124122120119115115115115111110110115121125127131132133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135135139140140139139138141139137137128129126124124124124125126126128130125124131120121121121121122121120119118118119118117116116116116115116116116119117116115119119119116116117116115119117115114114114114114113113113113113113113113113113113113113113114114114114114114114114114114114114113113113113112112112112111111111110110110110110110110110110110110110110110110110110110110110110110110109109109108108108108107107107107107107107107107107107107107107107106106106106106106107107107107107107107107107107107107107108108108108108108107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148147147147146146146145145141141140138136137138137136138137136136134132130130129128130131135135135136136135134133134130130133135135136135134134136135133132132130131131129129129132131132131131132134136134133133133132132134135135136138135140137138137138136136139139139138137137136136136135133135134135131130132132132127127129128128127128127126121116109107105108112114115117119120120122123122127130130130131127127128129129129130126127127128127128128129129129129128128129128126123122123123122120116112112111112109108110114120124128122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137141142141139138134133136139135127127127126124124125126127128128127123122123122123120120120121121120120119117118118117115114112116114115118118118119119115115121115116116117116119118113114118114114114114114113113113113113113113113113113113113114114114114114114114114114114113113113113113112112112111111111110110110109109109109109109110110110110110110110110110110110110110109109109109109109108108108107107107107107107107107107107107107107107106106106106106106106106106106106106106106106106106106107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147144145146146145143144145143141140141137134134136132134134135135136136134133130128130131134134135135136137136137136136136132134137135134137134133135136134132133131131131131131131131131133131132133132134132132132132134135136136133135137134137137138136137138137137137137136137137138137138135135134135136132132134132134129128128129128130131129129127122114110108109113115119122122123125126129130132131133133134134132128129129129127125126127125127128129130131130129129129129128127124122120117116112108108109108109108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140141141141138141135135134141130129128126127124125125126126127128125124125124125124120121121121121120119120118116116115116117113116117117116117118119117114119118116119119115114115115114115113115122122117114113113113113113113113113113113113114114114114114114114114113113113113113113112112112111111111110110110109109109108108109109109109109109109109109109109109109109109109109109109109108108108108107107107107107107107107107107107107106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148146143145145145143144142141141139138137136133134134134133134133136135135132131131128130132131131135137136138137137135137134134136135137136133133133138134133133132131131131131130130131133133133135135134132133130134135134135135136135135137137136137135135137137135137136135136138138138137138139134135136133134134132134132133129132131132131131130130122119115112112115116118119120121124127130132133132133131132131130129130129131129130130127127128128128130131130129130130130131129126123123119115124123121117117116116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142142141142999999999999131134131128126127127127128128128129127129128128127127126126128124121120119118121117122117116117126115113112113116120116118118116118117114116118115115114116114114113116118122122120120116115113113113113113113113113114114114114114114114113113113113113113113112112112111111110110110109109108108108108108108108108108108108108108108108109109109109109109109109109108108108108107107107107106106106106106106106106106106106106106106106106106106106106106105105105105105105105105105105105105105105106106106106105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152149147146147146143143144145145144141140139138136136135135135135135135134134134133133130129129129130131129133133135137136137137137138136137136135134137136136135139136134135133133133132132133134133134135134135135135132131132135136134134134137135135138138138137137136137137136136136136139137137138138137137135135133132136134132130131131130129133134131131132131130126120120120120120119123126125126130132132132133133133132131129127127127130129130131130128129129129130131131132131130130132130128126124121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153999999999999999999999130126126128127128132129128130130128128127127126127126124123121122123121120119114113117115123118113112125115113127128117117115117117118115115116116115115112116115118118117116116117114115113113113113113114114114114114114114113113113113113113112112112111111111110110109109108108108107107107107107107108108108108108108108108108108108109108108108108108108108107107107107107106106106106106106106106106106106106106106105105105105105105105105105105105105105104104104104104104105105105105105105105105105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143144145145147148144142141142144145144143141139138136135133135136137135135132133134133133130128129129130129128130132132134137138138139138138137137136136137136137135141143139138135133132133133135136134134134135135136135134134135135135135135134139136135136138137138137136137136137136136138137138138138137137138136134134135137135133132134133133133134134132132133131132130128127127129130130130131132133134134134135135135133133131130128129130130131132133131130130130129131132133134134134134134133129127125125135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130126129130128130131129129131131131129129130132130125125122124123123122119119120118115118111113115112112114116127120118118122130122117113113113113113112117114115112111111111112111114116116116114114114114114114114114114114113113113113113113112112112111111111110110109109108108107107107107107107107107108108108108108107108108108108108108108108108108108107107107107106106106106106106106106106106106106106106105105105105105105105105105105105105105105104104104104104104104104104105105105105105105105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143142142144145147145146143146145145145143141142138136137137136137137138137135133133133132131128127130130130128129129132135135135139140141140137138139138135138137138137136137136134135134132134133134134134135133135136136135135135133135135134134134136136135136138138137137138137136140137138137138137139137137137137137135135136136137134132135135134135135133134134132132134133132131132130135135136136136135135136135135136136134132130130130130131130132133132131130131129130131132133135135135135135134133132129131132127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131123134131131132131130130129131132129129128131127128127126125124124123123121121120119119120112113114117121115118118117116114121121117116114114114115113112112112113112112110112111115116115117115115114115115114114114114114114113113113113113112112112112111111110110109109109108108107107107107107107107107107107107107107107107107107108108108108108108108107107107107106106106106106106106106106106106106106105105105105105105105105105105105105105105104104104104104104104104104104104104105105105105105105105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138141147139139140142142144145144145144144143143144142142141139138139138136136136135133132132131130129128129129129129130129129132134135136136138138137136137137138138137140141136136135136137137137135134136136136136136134135136136135136135133136136133134135135136136137137139138138138137136138138139137137138138138137137136138137136137137137134135137136136135134132135134136135135135133136135137137137138136134135136135135138137137136133132132131132131132132133132131131131131131134133134136135136136136136136131131132132127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131127128133131133133134132130132133133132130130132130130129126126126124123123121120121120120116114115116116120117113118114115113117118116114115114115114111114113112112109110110111115116114115114114113114113113114113113116114113113113113113113112112112111111111110110109109108108108107107107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106105105105105105105105105105105105105105105105105105105104104104104104103103103103103104104104104104105105105105105105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137141139138138138139140142145143143142143142142143144143142140139138138136135135134133131130129129128127127128128129129128129131134135135136138137138137139138140135135138139138137136138137136139137136138138136138138136135137135137138137137138136135134136135136136138138137136138137136137138139137139137137138138137137137137137137138138138137137137135135136135135137136135134137137137138138137137136136135133135136136138138137136136134133132131132132132132133133132131131132135136135136138138139140140138136133131132132127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136135134128128128132133134134131131133133133133130130131132131130128127126125124124123123123119118116121115117117117118118119116117116118117118115115116115118113117116113111113112111114116114115113112112114114113113117114113116113113113113113113112112112112111111111110110109109108108108107107107107107107107107107107107107107107107107107107107107107107107107107106106106105105105105105105105105105105105105105105105105105105105105105105105104104104104104104103103103103103103103103104104104104104105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134138134130133136136134136136138138140140140144140140139139141143143142141140140138137137136134133132130128127127125126126125126128129131128131133132135135134137138136139138139137137138138138139140137137138138141138137137137138137138137136137138138137138139138136136137135137136138138137136137137139137139137137136136137138138137137138138138137137137138138137136135135137137136136136136136137139138137137136134134134134132133134134136134134134134134134134133133132132132133134134134133135137139139140140140140141139137135132131126128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141135134132129128129133134134133135134133133135135132131131131131131131129127126124124125125125119120121119117120119120118117120120116117116117118116116122116116116116115113112113113115115115113113113111115116114113117116115115112111112115115115113112112112112111111110110110109109108108108107107107107107107107107107107107107107107106106106106106106106106106106106106106105105105105105105105105105105105104104104104104104104104104104104104104104104104104103103103103103103103103103103103104104104104104105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130135137134133133134135136136137139137139138138143139140137138141141141140139139139138137135135134131129129129127126126122122121124126128129129128129131133133133135136138137138138137139139138138138138137138138138139137137137139138138138138139137137138137136138138137137137136136138138138136136139139138137139138137137138137137137138137138138138137138138138137137136136136137136135135137136134138138138137136136134134135138135137137134134134133133132135134134134132134133133132133134134136138140140141140141141139141139137133132132128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135132130129128128130130132133132133133135135135133132132131131131131131129127126125124125124118118120118119118121121119118118121116117115116118118120118118117116122120118114115114111113113113113114114117116116113111112111112113111114116113111112112112112112111111111110110109109109108108108107107107107107107107107107107107107107106106106106105105105105105105105105104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104103103103103103103103103104104104105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128106132132131131132131135136136136138138138139140139141138138140139140140138140139137137137136134134133131128127127124128125122124123123126127129129130131132134133133132138134138138137138139140139138138138138140139138137136138138139139137136137137137138138137137138138137138137135136135138138139139138138138137137136137136138138137138137137138139139138139137136136137137137139138138137137139137137137136135135136137137136138137139137137136136135133134135135136134134134134132134134139137137140140142142141142141140140139135132133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136132133130128128129131132131132131132133133132132132132130130128130130129127125124123122122118121122123119123123122119119123120121118113116116115115116118118117118117117118117118112111112112112114115116113114115113114112111112112113115114111113111113113112111111111110110109109109108108108108107107107107107107107107107107107107106106106105105105105104104104104104103103103103103103103104104103103103103103103104104104104104104104104104104104104104104104104104104104104104104104104105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133127110117121131130129128132132132133136135138138143139138139138140140140138140139139138138137136136137136134135133132129129126124121121121121121121124127128128130132132133134131133133133137133138138139138138139137137139140139140139138138138138140138137137138138137136137139139138138138136139140138138138139139139136137137137136137137137137138137136138138138139139138136137137136140139136137136139139137135135135135135136137138138139138139138139140138139139137138137137136138134138138138138140139142142142141140141143143138137135133132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135129132128129129128131130131131131130131133132132132131132130129131130128127123124124124124123127126124121120121121118118120121122122119117114114115117116116115116117120120119119115110116116114110117118118117116117116113110111112113113113111113113113112111110112111110110110109109108108108108108108108108108108108107107107107107106106105105104104104104103103103102102102102102102102103103103103103102102103103103103103104104104104104104104104104104104104104104104104104104105105105105105106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134133129132117109128129128127130129130131133132134135133132134135139137138138139143143140140139138138137138139137137136131129127123123116110117116118120124127129130130132132133132131131131133134131135137135133133137136136138137137138136137138138138139138138137138138137138137137137137137138139138139138138139138138139136137138137137138138138137138137137137137137137137138138139138140140138137138139137139136137134133135135137137138139136137139140139141139140141139140140141140139138140141139140141141143142142141140142144141136139139999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141130129128127127125128127128127129129127130132133133135132131130130131130130130135136126123125124124128124120118119117117122121121120117119116115115115116114115119118117119117118113114118114110118119119117116116115113112113112112111115115112112121120120106110110108107108110109109109108108108108108108108108108108107107107107106106105105104104103103103102102102101101101100101101101102102102102102102101102102103103103103103104104104104104104104104104104104104104104105105105105106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137134127129122121127127129130128130129130135135137138136136135138138140140139140142142142140139139139138139141140140139134130128124123117120116117119123124127128129131131131129130131130129128130129131134137133134137136135135135136137137137137138139140140138138138137138137138136136137138140138138137137137137137139137139138137138138137137138138138137137137137136138138138139139139139139138136135136136137138139138137136136137137139141136138140140140141143143143143141142142142140141142142142141141141142142142140140139139136139999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144129131126125125126126126129126127127127127128132129129133132132132132132142140126127128129129124124124119119117118122124123123123121122119116116116115115118118119116115120117114114113116118114117115116114115115115114115114113113114115120120120121119119119118105105106103105104114109109108108108108108108108108108108107107107106106105104104103103102102101101100100100100 99100100101101102101101101101101101102102103103103103103104104104104104104104104104104105105105105105106106106106106107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144141135131124117123132126127128125127131129130136142138140141140139141142141141140140141142142141140142140139140141142141138137133132132131124121118118120123121124127129130130129128128129127127129125126127128131132133131133134134135135137137137137138139139139139139139137137137137137137135138137137138136137136136137138137138138138138136138138138137137138137137139138140140139141140139138139140139139134137136139136137138137137138139139141142142138139140145140141143143142143142141141143143142145143143144144142141140140136133133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127124127128127131126125124126126127131129132132132132130130143144141126127129130125124123124128127123123125120122123120121118119117115114115116118113117118115116113114111116117117112113113114114115117114115114115114113114114119120120120119118118117109108114105110109114115115108108108108108108108108108108107107107107106106105105104104103103103102102102101101101101101101102102102102102102101102102103103104104104104104104104104104105105105105105105105105106106106106106106107107107107107107106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141144142139135128125107131127128128130127126129133130133137137141140140140141142142143142141142143143141141142140140141139140139138138138136137135128123127119122124123125128127128129129130128128127124124125126127127129131132129132132133134135136137136137138138137137138138137137139138137137136137137139140139137138138137137136137137136137138138138139139137137137138138138137138138139140140139138138138137138136136138137137136137137137139142143143142142142143140140142143143143142143143143141143144145145145144145145144143142140136130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127126130132128127126126124123127128131129128130131130130132129133143130128129139129123121125129127128127123122122122119120119118116116113114111111113120116113115117113125115115114109112115117115116116117115113112114113115116113114110110111111112111116111115115115114114110109110109111108108108108108108108108107107107107106106106105105105104104103103103102102102102102102102102102102102102102103103103104104104104104104105105105105105105105105105105106106106106106106106107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133132136134132137135106107134127128128128129133132138134136135140140138139140140141142142141141141142139141142142140141139140139138140141138139139133125121117115119122125127128127127128127126126125124126126126127128129131131129131132132133134135136136136136136138138137137136137139140136136136139137137139138138137139138137136136137137136137137138137138137138137138137138138139138139138139137138139139140138137137137137136136136137139141141142143143143143144139141142142142143142144144143142143144146146146145145146143142141140136134999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126129128130126124122123123124125128126125128127123124126131133133144131133131134141129126128127127125125124122122122122126124118113114113116111111113110112113112119115119123115113114111114113115115116116115114116116115113111111112110111111112111110110112115115105106106107107107108110111111108108108108108108108108107107107107106106106106105105105104104104103103103103103102102102102103103103103104104104105105105105105105105105105105105106106106106106106106106106106106107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137134130126127140134139130104113127127127129138138135134138137138140140142140140140143144141142140141142140141140141141140140140141141139139140139140137131127124123124127125127127127129127127128127127126126126126126126128129130131131128130131130131132133135135136136137137136137136137139139138139138138137138137138138137138138137137137138137138138138139138136138138137137138138137137137138139138140140140139139138138137136137136136137138139140142142142143143143144144144142142142144142144143142143144143144145146146147148146143140136130135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125121123122122123122121122123124124123129129125125126129130132139128129130131129130128126127129125124124121119122121123121118119118119119107110109109111112111114110113117114116115114114113113116115116116115115114113116110114115116117109110111110115112116115106105107107109108109108109110109110108108108108108108108108108107107107107107107106106106105105105104104103103103103103103103103103104104105105105105105105105105105106106106106106106106106106106106106106106107107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142137132127120123125122119122114110112124134138135136134136137137138140140140141141145145143144145142139140141140140141140141140140140140140140140141137137132131131131130130131128129126126128127126128129128128127125122122122123124127127125127129131131130131133134135135134135135137137136137138137136137137137138136137138137138138137137138139138137139137137135138138138138138138137137137137138139139138139138139139140138138138138136136137137136137140141142142143143143144143141144144145143141141142143143143144145145146145147146144140133126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125119123123122123123122121118126126128123128120124127129130131133129132142135131130131126124124122126127123120122112120118118115113114117116115110111113114114115116114113111115114114114116116114116117116114113114114118115115114115116109111109109111112111113107108107107108108108109109108110110108111112108108108108108108108108108108108108107107107106106106105105104104103103103103103103104104105105106106106106106106106106106106106106106106106106106106106106106106106106106107107106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143139132128123134138123123117117114115114126131132134138138137140138144140141141141143144144143141140142141140142138141139138137137138139139141140140140139139133134134133132132131128128127127126127127126128127127125121121118119118118122124126126128131130130132133133134134133136135136136136136135136135137136135137137138137138138137138138139139139140139140137137138139139139140139138139139138138138140140140139140139141139138138138138137137137136137139140142142143142143143143142142144146143143144145143145144143143143145147148146144139135133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140135131128109999999999999999125127128124125124122124122121121121122124123120123124128125132131132134140131133131130130130125127127126124122121120118122120121121115117118118111109115112116116115115117115114116116110114116115114115115116115113116119116115114114115115115115114105108110109111110108108106110108108110109110110110109108108109109108108109109109109109109108108108108108107107107106106105105104104104104104105105105106106106107107107107107107107107107107107107107107107107107107107107107107107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138139140133130123138127125133133134130116115117123131132136137138140141140142143143145142143144144143142140143141140142139138137137137139137138139139138139138136135136136135133134133130127125127127126126126126126124122122119118115117116117118120124126128131131132132132135134133133132134134135134136137136136137135135137136137136135136136138139139138139140139140138138139140139138138140138138138138139138138140140140140140141141139138138138138138138136138138138141141141141141142142143142143145141143143144144144145145142144146147146144144141135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135145136133131128126127999999999128120120126127127127125125125125124124123123120121124123125125125126132129127131130126126128132129124124125123121120121120119122118118113113112115111116117117113113113114116117117116116112113117114116114114116114116117115114112114111114114110108107109110110110107106111109107110109106110109109109110111111109108109109108109109109109109109109109109109108108108107107107106106106105105105106106106106107107107108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119132133134134129124137127132129130121126124117118118119127133135137139141140139143144143142146143144143145146143143143144143143139138137138136138138138137136135133134134133133131134130132130128127127127126125124121117115116120111109109111116113116116122122124130129131128130131131131132132133133133133134136136136135135136135138137135136138139139139139139139139138139139138139139140139139140138138138140138140137139138140140140139140139138138138138137138138139136137140140141142140140142142143143144142143144145145145145146147148147147146146144141140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137140138136135127126126127122125131124125127126127127127124125125124122121121122123122123125125126128129126126128127127121121128128128124125122122122110119118117116119118115117113111116117117115116114117118113115118118118112109116115115114116115114114113118116115112110109109111114116113112109105111111110105109109107106109107110109107109110108109107108110111111110110110110109109109109109108108108108107107107107107107107107107107108108108108108109109109109109108108108107107107107107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131124118128126125125126129126132125126129124125126120121122123126128136136138140141141142145144143143144144144143145143143141143142141140137136136135136136134134135135132133130134126127130131131132132131130129126126123120116112111119117104103109109110113122129120126127127129126128128128130131131130132131133136133134135135135135136137139136136137140138138138139139140139137138138139139139140140139140140139138138139139140141141142141139140139140138137139139139139140139140139139141142141141143143143144145144145145146145146145146149150150150152149147140142999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135141138134133133134133132124123123125125126125126128135124122124127124124123121120120122123125126123125126126127128127126123124124127128123127128122124121118117118120116114114113114114116115116111112116116114114116116117114114113113115116117115113111115115115115114114110110110113115115114110109108110109108108109110109110107106111112108111109107110107108109110110111118121110110110110110109109109109109108108108108108108108108108108108109109109109110110110110110109109108108108107107107107107107107107107107107107108108107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135134129128128126121119119126123122120121123127114124125127120122124125137134135136139141142144145146143143144144145145143144144140142142142140139137136136134134131131133131129127125121120125128131132132133133132132131131128121116112122114110117104102108112112114115116124127129127125127127126128128128128131131133133133132136135135134136138138138139137140139139139140139139139139138139139139139140140139139140140138140140138140140141142142142142141139139138140139140138141140139140139140142142142143144143144144145145145146146145145144148148149151151150149147999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138136129129129129127130120124124125127134136135133134129125127118123131121118119119121123124125124125126128129130127128129127127124121122127129125124119117121117117116115117111117116116115111116117114113115114113113115115118117116116117115116112113110111109109111109110109110114114111111110110109107109111111111107110110108108110110112112106107110109111112112112112110121113111111111110110110110110110109109109109109109109109109109109110110110110111111111111111110109109108108108108107107107107107107107107108108108108108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139136134136134130128125125130129127126124124124125128128125127125122123134133133134135137138139141143145145144145145146148147148143140140143143141141139138137135135134133131130129126124123120120123128130130131132133133131130130128122116113116116118117115120121122111114112110110112114122126125127126127127126126127132134134134132133134135135138138139140138138142139139139139139140139139138139139139140138139137137140139139139140139140141141141142142142142142141139140142142142140139139137139140140142142143142144143143144145144146146147147144144148148149150148148147999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144139138134128129129123126119120124125127134127129131132132130124123121125123122118118117118121123124125126126125126125125126126124127125123123124126123123119118117116114116116116116114112117121119113112114116113116110115113119118114114116114116117117115111110111108110110111108107108109111109110110110111112111110117106110110104106110108109112107105108112114111112114110110114113112110111111111111111111111110110110110110110110110110110110110111111111111112112112112111110110109109108108108108108108108107107108108108108108108108108108108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132134134137133133137134130131136137136134130125123122121126125125130129126126130130131134133135136138137139141142142143143143144145145146145145142143143141140139138137137137134131131128129126126125123123122125127128129131132131130129128127123120117116117120120117116113116111112113116113114115120123123125124126126127129130134136135135135136136138137138139141141141140140139139140140139139140140139139139139139139138138138139139140140139141141141141141141142142142141141141142142142141139140138139139141142142143142142142142143144145145145148147146146146148150152149148148146999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141137132132130126127123123124125125127127128129126127130123124124124123124123121121122120118120120121121123124124122122117125126124128127125127123124124121120119122116114115118117114115117114114118118112117117118118119117119119116117115113117118116118114112111107106107114114109111107107107113111111109108111109109116118118112110111112111113114113112110112106107110111110108110109112110118110110112112112111111111111111111111111111111111111111111112112112112113113113112111111110110109109109108108108108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131133130131130128129132131131133139139140133126123120120124128126126129125128124130132135136132135138136140140140141140143143144145145142142142143143142141140140138137138135134133134132130129127127126125123124124125128130130129127127126126125125122120120124126121119120117118117120121122122120123122125128124125125128131134135138137137137138140139139141140141141141140141141140141142142140139140139139139139139139139139139139139139141140140141141141141142142139141140140141140141141139139140141140142143143143143141142144143143144146145146145146146146148149148149148147146147999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143137132131127127127122123122125126128127129128125125121122122121124124122122121121121121120119120122120122123123122126124120118126125126125124124117121120122120121123118117117118116114117117116114122119117117117119116118120114113117120119118115115114115112102109116106111108109108113111110111109107110113111104115116115110110111111112114113113111111109106105112109105112115118117120119113113112118118112112112112112112112112112112112112112112112112113113113114114114113112112111111110110109109109108108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130131127128126128126124128128127131134141144144137132128123118120126125124129125126129130133135137133133137137138136138141138139142141145145142141142144143142140140140138137136137135132132130130129129130130128127126126126127129128126126126126126125127125125125124127127126124124124123123124124125126126123124124125127128131134136137138139140139138141141141141140141142141141140140140140141142141140140140139140139140139139139139139139139140140140140140139139140140140141140139140141141141139140139141141141142143142143143144143143143145145145146148147146147147148149149149149147147999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141134131130128124123123125125123125128125126127126124123124124124125123123121120119119122122123124122122123120123122124124124120124124121125123124120113120123122121124117118117120117113123120119119122118114117120123119116115116115117120122115115117118115119122112112112112108114110114112114112112109114114115110111111105110109110112110110110113108101107108111108109114112114112121116121115115117113111109114113113113113113113113113113113113113113113114114114115115115114113113112112111110110109109109109108108108108108109109108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130135125128127123123123122122120123122129141142146143133128124127122121125125126127125127127127126128137134131133133134134139139139140140142143141143143142143146145141140139137135134135131129129130129130130131131130128128127126127127127126125125123124126130129130132132134135136136131131130130135135132135134129128129130132135136138139140139140141142142141141142142141141141141141141141141141141141141139139139139140139139139139138138139139139139139140140140139139139138138140140140141142142140140140140140140141141141141142143143143142143144145146146146147146147146146148148149148145146999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136133130128124124123124123123123124126125126128124123124124126125124124123121121121116120121122121118121121121127126130129999999999124129128122126123119120120119122121115114116120115122120117116119118112121122120117121117119119117117120111115116120122122114111110111114114112109109112113112109113113114116114108109111113110112111114114109108112110111107109116107115112107110119118116117116115114113113111113114111114114114114114114113114114114114114115115115116116116115115114113113112111110110109109109109109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127129128133132130122120119116117116115114114116126117999127131127122118112112124115123124126125127126127127129130130131133134132137136137139139140140139141139140142142142143141139138132131132132130130131131131130130130130129128127128129129128126125123122124128130132134136136136136139140138138136139141140141141139137137137136137140141142142141141140141141142141141141141141142141141141140140140140140140139139138140139140138138139138138137139139139140140140139139139139139138139140140139141140141141140141142141142141142141140142142142143142143144144145145144145146146146149149148149148145143999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131125128124124123124123125126123124127128124123125124123124124124123123123121121120120121121122124125121123130131127124131999999124132126126125126119122121125118118119116119114110118115120120120119115122120120116118120120119115117115114115112115119118115112114112116115113109108107120107113107116116109106112116112110109113114109108110108115115114113113104107110 97111113116112115118122117117117116119116116111112112113113113113113113113113113113113114114115115115114114114113113112111111110110110110109109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136131126122124127129130126123120117113119122999114111110128999999999999999126122108108120114120120124125124124128129127129128127130130131131132132134135139134138137137138140140137134135136135133132132132131132131131131131130130129129127127129130129127128128127127128130130133135136138137138141143141143138140145145147145144143142140139140142142143143141140140139139141140141141141141141141140140140139140139139140139140139140139139138138138138139138139138139139140140140139139139139138139140139140141140140141140140141142142141142142141141141141143141142140143144144144147148148146147149149149148145145999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131128124124126123123125125124125125125124123125125123122122124124122122122122122121124119121123122123123127128131125125128126999999124126125121122126124126125118119118119121117117119113122122122118122124126118117118121115112115115120117114116117111116118114113110110115115119109107122120119112116113111112117109109104105108111106107110114115115114115114105108116116111113117107115114118118115113110112111110111112108110113113112112112112112112112112113113113114114113113113113112112112111111111110110110110110110110109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142137137135129126125126128132130127121118999999999120112113115999999999999999999121117110111113111123123123123123122128128126127125125121122129128131129131132134134135133134137137137136133132133132132133134133132132131130131132131129129129128129129130129128128129129130130132133135138140140138136142144145145147146146148148149147145144142142143144144143142139139140141139139140140139140141141140140141140139140140138139138138138137138138138138137138138138138138139139139140139139139139139139141141140139140140140140140140139139141141141142141141142143143141142142143146146146147147146146148148148148147146144999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127126124124124124125125125126125124123123123123125125124123123122123124122120123122123122125124121123124123128130132128122111999999999120124127126125125127122120119118116113112122121129122122118118118120118116119115115116118117118116116118117118117117115114114116110113117112120118121119118116103116115111105104103109111111109113110113110106104114113122115114114114118118116112115115114114112115118116111106119112112112113113111111111111111111111112112112112113113113113113112112112112111111111111110110110110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153143141139137130129129131133135132127121120118118117114113117999125999999999999999123119114120115125126123124127123121126126127125126128126128127123123121122123127127128129129131133133134131131132134135136135134134133130129130132131129130130130130129129129129129129129131132135137138141143143143143141145145145146146147150148148148147145145145145145145142140140139139139138139138139138139140140140140141141141140138138139139138138138137138139139138137138137139139139139139140139139138139139139140139140140140141139140140139139140139138140141141141142143142142141143143143145146146146144145147146147144147146144999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129123125123129130124125122124124123122123125125124125122123123122123121121122122122119122125122121124121127127129132136119 97124999999122129120113123114101119108116116 99113118122128123118122121120119119118123118118118120118118121123115114123116116114113109110104104119120119111112118104107106116116115106105113113114112112112112114 98 99 97111113108103113114114117114115112112111113113109115118114107107114113111112112112111110110110110110110111111111111111112112112112112112112112112112111111111111111110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153144139135133129132134132130137130125123119117118115114114118121123128999999999119116111112116117126125127125125124123123126125127127127128127120120120119117122123123123125126131132131130130133134136137137137137137134132131129130130130132131133131130130130131131131131132134136139142143144145145146144144145145148150150151147150148149149147147146146145143140139138139139138140138138137137138139139140139140141140138138138138139138138139139139139140138139138139140141140140140140140140140140140140141139140138139140140139138138140140141141140141142143142142142142142142142143145143143142142146144145144146146143143999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118127126126127131124124124123124123123125124124125125121121122121122121121120121121123122122122123125123122130127130138112113 97101123122122117110115108100108122999119123122119124122122122121118122114116119119117123117112119116117115115118117118113109110113122113106122121120120121104104104112113113109110110110110112112112110110101101108100110111111111112112114111114116112109108113113112112113110108113115113112104113109112103 94105109109109109110110110110111111112112112112112112112112112112111111111111111110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127122133137140138139133130124119119118113114115115118124125126128119116113110115120126126127129128130130130126121125122123122121121119119117117117117121120122124126127129129131133135135137137139139137137138137134133130130130132132133133133132132131132133133133135139142144145147147150151152151152151148150149152151152151151149148148147145146143141140141140139139139137137136136138138139140139140139141139139139139138138140139139140140141140140141141141141142140141140140141141141140138139140139138138139139139138137141141140141139140141142142142142142141141140144145146145142140143143145145143144141140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122120116124127125129135132127126123124126124124125124125126126121121121120120122119121121121123121119115119121122125127132136119 96 95 96118117129137116107109108124117115116118117119121122118122106116120120118120115114117115120120121117114119115112112109108109115118120119116121120110110105105119111109105106107109109109108109108 96 96113110107112119113113114112112115110113114112106103114110111114116108111120112112111110113113110111103100101118109109110110110110111111111112112112112112112111111111111111110110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124999999999999999999999999999123116114113113117118120120119115114112111115118120128130132133135133133133127126125126125123123120120118116117118119119121124124125127130134136137139138137137140141141140139138134134133131133134133134134133133133133135135136139141144146146147148149152153154154153150152152150151151151151151150149149147147144142142141139140139139139138137138138138139139139137141141139139138139139139139140139140139139140141141141140141141141140141141140140140140141141141139139140140139140140139140140138138140139140142139142142140140140140144145144143143142143143142142142144139138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145149129999999999999999999120121118110110119124126138122127132125125123120120120124125126122119120122121120119120120120120118120122116115117118130125131132122123122121120123135126114130132132126125117114120125118108116119122114120121119116118117114121116118122119118112115115113116117116117116124124123118110111108120107112113112110110109108109108109111108109113113117117110109114110112120120112113118118118104111111111118108113113115118 97 95 96104104103 97109110115109117117110110110110110110110111111111111111111111111110110110110110110110110110110110110110110111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126118116114111115117121116116120113112111110111116117131132134136136137137135131127126126126122120121119117118118119119121121122125129132136139139143144143144144143144142141140138136137134134132133134133135135134135135137141141143145146148149149149152153154153153152151152151152151151150150148149147148147146145145141141138139138139141141139139139139139139139140139138139139139140140140139139141140140141141141141140141140140140141141141140139141141141139137141140139139139137138140140140140140137139141139140141139140140144144143144141141143143142142142140141139139999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138140144150126125146126124123123122120115116122126123123121122124124125122121116116120123125123122120121122122123119121121118119119119118118118124124126126126124122120121121122120119122121128127128129125121120119118110117122119120122122114114118122117118122120121125114120116120120120119114114108125123118113113116113117123110111103109111112105102113106107111112112113110117118112109112113113112108111113111113104106102102108118117107109104114102100 93107107111110118112106105106111108106113113110110110110110110110110110110110110109109109109109109109109109110110110110111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129124120115110109112112118119112110111110109111115111110136138134136138134133132127126129121120119117115116116117118119120124125128131135138138139142145146147144146144144144141141137138137133133132133135136137136136136138141142143143144148149151150149154153151151151151150150152151150150149149151147148149148147146142142140138141141141140139140140140139139139139140138138139139140139139140140141140140141141141141140140140140140139139140140140141140140141141141141139139138137140140140140140140140139141140140140140139141144140143142143144139139140139140140140139139140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139137135142131146130145147129129129125124124128121125134126126121122124120124123117116117120121122123121121120123122122119120120120119120118119121121120121122121123121119119119123116115128122120119120115119120119120121117117114118120120122120121117117119116119119117119123114117119119119120119118118118125113113109113107111110106105111108111114106106102113114110118118111109109112115118119112112110105110116116115105102105105102114117114107109106107107109109 96101107110112103104106107104106110116116116114110110110110110109109109109109109108108108108109109109109109110110110111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136127122116113999999999116113109109111110108112115115120999139114110131137136131133999999121123120118114114120123118119121126131132134138139139140143145147149151151152999999999999142137136131131132133135136137138138138138140141142144145147147150151148153153151151151151150154152153153152151150150149147148148148147144141141141142142142142140140140140139139139139138138137138138139139140140140140140140141141141141141140141141141140140140141142142140143141142141141140139138138138139139140138138140140140139140141142141141143142143145145144140140139138140139138138138140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131151130131130136135135130125127128126123125126124123126125129131138122121121120126125124118117119121121122123122121122122123124122120122122121120116117122122122125125125127117117115124119116119122123118119118119114120117112118116119120118117117112114114119117112117119116113113116110108117110113109110107126124117110112109108124101115115119122122117112120116114115111105111119111112113113113117117116117112108108117118115111114115104102102111110105105113106114114110109102 97106109114115116111111102113115116114109105110109109109109108108108108108108107108108108108108108109109110110111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138132126999999999999120116113113114114113114116119123126999999999999999999999999999999999999121118115115118118121122124129132135138140142143140142143146148149151152152999999999999999137134132131130133134135137138139139139140141142144145150151152153153153153153152152151153154152153152151151150150149149151150148147145143143142141144146145142143144143141140139139139139138138138138140140140140140141141141141141141141141141140141140141141141140140141142141141141140139139139139139140140139139140140139139139141141142141141145143145145145143144142141139138138137138136136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135138133134129127128127124129128123125123127127125121122125129131131122124121121117119119117117119119120121122123123122120120126127124121120122120119117121121121125123123124126126116116119121117118117118116120119111117117118117113109113117119116116110108112111112106106115115116104116116116115116116119118119107108112115111113111111118107114116115113119118112113 98103108112110111113115116115112103102112115113101113114113114116106113112109108110112111110111111112114111109107119112100111110111115102111113115117115111112109105108111109108108108108108107107107108108108108108108109109110110111110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154142138138120999117116121119115114116119120120120120123128138999999999999999999999999999999999999999119118120119121125126129134136138141143144148147146148149150151152154153144999999999999134132131130130133135136137139139140142141143146148148150151154151151150154154153153153153153154154154154153151150150152151151148148145145144144146146147144144144144143142140138140139138139139139138139140140140141141141140141140140140140140141141141141141141142141141140140141140140140140139138140140139139139140140139140140140140140141143143147144144145144144140139139138139139138135137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135131134135133132130127126127127128128128126122124130125126129124121122123123125125117118123123123119119120121121122123124123125129129123122121121122122116119119124126124123119118121124124111117119118114116118122120119116119112111122119117116113120105104112113111113113108114114113113116115115117117115120122115116112116116106113112110111118116106110112109114113116117115120122110116114114115109109116115106106 99117115115112 97113108108110109109111110109110110114114114114114115117118110109109100101100102108108105111114112111112112107112112108108108107107107107108108108108108108109109110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153147148145120999999999999999115115118124126123124128128130999999999999999999999999999999999999999999999999120120121124126129134136138145149150151149149151151152152153153153152152999999140137133131130131133136136138140141142141143143144145147147148151150151150153153152152152154155154154154155155155154151150150150150150149147148146146146145145144144145145143141139140139139139139139139140140140139141141140139140139138139140141140141139140140141142142141141140140141142141140139138138139137139140140139139139139139139139142143144145144143144145143141141141139140139135134132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138131136136136133132128128129127131131129130131128127126127136122123125122124125124125125124124125121122122124125125126124125126133127125124124124120118119119121124125127119121120119118124117118117114114118117122120120121120114115118116117117113115122125125114114114113108113113114113116117113117117117121115113116108117121116113107107111122114115114112107115109117116123124124114115115112119121116116115113 99108114117116112111106105105110103110109111111110108110114112112111108112121120108113102103 99107111112107108104111109112123114110106106108107107107107107108108108108108108108109109110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134128126123120999999999999123118120123135135131130999999132999999999999999999999999999999999999999999999999123124124125131130132135143144147149149148148151151153152154154154152151999999137135133134132135137136137136138137140142143144143143143144146148150151150154153152152152153153153153154155156155155153153151151152151150149150149147146148146145144144144143141142141139139139138139139140140140141142141140140139139138139140140139140139140141141141141140140141139140141141141139138139140139139139139138138139139139138137141142143144141145144142141140140141139139137136135130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138136135137134136135129129129130129129133131132130131132133128131120124125126123123124125123125123122122124123121123124123122125125126125126125129121126119124124124124123119116120122121116116117117116114114114121115114120120119120118119115119112111117115119121114117115117118118113107112112114118115115119118118116110113117117118109109114116121123115115114110110109113110117126118118117117114121121116118120 99101116119118109112112102105109106105108108110109109109112111111114110110109113106107106107108112110110110110105100111110107111110109112110103106107107107107108108108108108108108109109110110110109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118118122127129133141999999142142999999999999999999999999999999999999999999999999999129122123125134138139140142144147144146148149150151152153153150151144146999136132133137134135135136137136139138139142142143143143144145149147149150151153153151151151152152151153154154154156156154154154152153152151151150152148149148147147145144143143142142142141141140140140140140142142141141140140139140140139140140139140140140140140140140139140139138138137138139140139139138137139139139139139138138138137137138142142142142138143144142142141139139137137135135134124136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138137136135135136134132130130131129128130129129129129127128130130125125124125123122120120126123123127123122122123123123124124125130128126125125116126125124122124122120120120119119121116116116116117120118119112120115113113117114120117114115114114114117110110107110113117119116118117117117115117114120118116118115115117118116109112112114114112117119111116111110110106116119117118118117115114117117103108109111112117116116118117109111 99110111107109107109109108111106110110110113103100101112111103112113112111111110117119122113103104109108109111108108108105107104107107108108107107107107108108109109110109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120124124123123126129130999999999141142999999999999999999999999999999999999999999999999999999999123120120123137138139143144143146148152152150151153154151149145144999999999130132137135134132134136137136140140140141140142142145144145148150150152153152150150150150151150152154155154157156155154154153153151153151150151149149146147145145143143142142141141141142141140141140140140141141140139139139139139139139140140140140140140140139139140139138138140137138137138138139139139141140140140139138138138140140142143142143143138143140140143139138139138134136138136131135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137137135134135130130131130130131128128127127130128126127129129131126127126125122123126126122125126124124123123123124125124123124126126123132130130123124125125122115121121120120118118116116115115120119118116120119120120113121114116117119120115113116111118115115117117118115117116115116119110114114114118117116118116115115114116113112113114110111116116116116111115115115117115118116118119116116106107114107109113117112118119108115110111113112110108108107107108108109107110108101111116106110111108117116112111115117117114115110109107109106114102105101113114114113113107107107107107107108109109109110109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121120120119119122999999999999142142999999999999999999999999999999999999999999999999999999999999999999127128133139140140143148153152153152151151153156154154145999999999999138132134131133135134134136136139139139140140141142142141142146146146150151151150149150150151152152154155156157156156155154153152152151151149148147147146145145143143142141141141140140142142140139140141141141140140138139138138137137138139138139139139139139139138138139138138139138138137138137140138138140140140140139138137139140140141143143143143142141138139144140139140139137136137135131129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134133136134130131131131129130130132132130130130129130131129128127126126126125123125126126127126126130127124123122124127128129124124125125127128126125124122118121122121121116118119120115115119120121117112125120112114118117122116126119120118117117116117118109115120119124123116118118114119117116115116119116117117119117117117118116115112112109111111117116118116116113112105109109112110110103106107114111114110108126120115117107102104112114117108103103103106107105106106108102102102100113105106102117121102114114110109104118115 97 99106101107107108107104100110111112114107107107108108108109109109110109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142147140138144151157159156154156999999157153155999999999999999999134133132132135134134136138140140140142143144142141140144144144143145148148148149149150150151151152155157157156156154152152153152152150147147145146144144143143142141141141141140139139140141139139139141138138139138135136136136136137137137139139139139139139139138138138138139137138139139138137139140138140140139140138137137137140141141142143138138140141143144143139139139136136134133128126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135134133129128130131131129129131132132131131132132133134131130131128128129127127125125125124127133125128130128130124128128127119122124124121122124123123123122122122121121122118120118117125124123124120119123121113111116118119118119119121122117116112120120119119120121124118117116114112127126125117109118119118118118119119118118116115115115116109108114117109111114111111107109110112113113112112117114121116107104121115106107105105106116116117110109111112111111105105106111109109101113111111109107113108105103107108109108106100103107109113110109107109105 99100105112110110111108108108108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158160156162164167999999999999999999999999999999999999999135134137131134135133136137137139138140141142142141141141142143143143143147145145149151149149152152155156157157157156155154152152150147145145144145146145145143142141142142140139140140140140140138137138138137138138134136134135135135136138138138138139139139138138137137136136137138138138137136138137137138140140139138137137137140140141138138138139137140141140141140136135133134133132127124127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131132125129132134132133134132132134132134132132134132132130131129129130130128129125127128128126126127128128127129126127122129126125126124123124123121120122116125123122122120122121121122126124122122119125124124120122123124121119115122121121125125124120123119121119122120121117122122125124123121117119118118120118127124123118118118117117116112113112122108109111111114109110113113114115111108116112114109107104112104105107107103104107107109109109109109110 99102105115103103103100115111115112110114111 97103111113113112110111109106112103 93105107108110100101111109100 99111112113108109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173177171171999999999999999999999999999999999999135135135133133131134134134133134134136137137142140142140140139141142143144146146148150150149150152152154156156156156155154154151152149148145144144144145144143143141140140139140139138139138138138137136137137136135136136135135134134135135136137138138138138138137137137136135135137136136136136135136136138139139138138137138137140141142141137137137137140138139139139138135134133133132130127125125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131132132128130132133134132132132133134132132133133131130133131132132129129132128130131129130129128128128127129125128131130122124127126124125123121125120119120119124122124122122119121122120116113115112115115122124121119121122123120111115119118120121121122122121118119119117119119122121121119105115114114121124122122123122127118117117114118120117111114111109111113114113110110112113111109111116116111114108102104104102103109103102 98101101101101112118117118115119107111104103100103100112116107108107106103107111110114116113113112117112102 92 97112113113114108109106104 98113113115116109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183175167167999999999999999999999999999999999999999133133135136130131133130132133131136140137140140140141142142142142144145147148150150150152152152153155156156156155155154153152148149146144143145143143144143142141141140140139139138140139138136137137139136137136136137136135135135136136136137137137136137138138137137136136135135136137134134135136136137137137137136135135136138140140139140139138139137137140136136136135137134134133129127124123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130132134133133134999130129127129132133134132134134136135133134134132132133134132131131133133133130134131131129130131130127126121125126129124122131126125127126122122120124124123121123124124122124116121120121118122118115114120122122119118118120120122118118115118120121120126123122120122122121122122120121118118119116122122123124121120122121117117112116115119120122116115113113113113113109110111112114110109110113115105113111110109106104104101 98101 98106106104 93 96 99100107109111109119104111110112110111110113111103103105108109110113116111118120123121111101104114115111112111109109109110108102113113109113109109109109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158158999999158168172170164163161999999999999999999999999999999999999116115132131131131132130129129130132135137139140140141141141141142142144146147150151152149150152155155156155154154154154154153150149147146145144143141143143142141141142141140138138137138137137136137137137137137136135135135135136136136136136136136137136136136136136135135134135135135136134135135135135135135135135134133134135138139139139139138138135136136136136134134136137136135130128125125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136134132131133134134135132130126127129131132135134134135136135134132134134136137136135133133134133133132131131131133129130126125127127126125126125123125125126126122120121121123124122123121119124123127124121122116121123121111120127122119120118121119119123123121120118128124125122121122120122121122121121124122123117125109115116114122116106122119121116116117120115115119117115114112111112113112108109105106106105 96101102103113113114110104105106102 99102104108108108 99106110101102102102103104103111116113110111105109110120106107105112114115116118118123114105114112114115115110109111110104102105101 97 98100106111112116108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156156156160161166161159157154999999999999999999999999999999999999999129139138133131131129128127128128129133137139139140141140141141142142145148147147150151150154155155155154153153154153152151150149148146146143143142142144143140141141140141139137136136136136136136136136136136136137136135135134135135136135135135135135135134134134134134134134133134135136134134134134134134134136136133134134138138137137138139137135135137135136133132133132136134129126126129999999999999999999999999999999999999999999999999999999999999999999999133136139999134136136136135131129130132132133130128128128130129130131133130134135136136137136136137139137137135134137133133131130131130129129129126125124127125125124125124123124125124123120123120124124123123122122121122124121118122121122120110121121125122117118123123119121121121123122122118124124124121123117118119124120122128115106108112111109114113113114113118120122121122121119113119113119120120112115113113115112112114112999999999999999108 84105108108104108108111115111108107109109105106104104113101106110110112116116113110109112109110113113105109112117115105106111114113119116119115115115112114111109103 96 96 95 97103107107110109104109107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153152152152152152152999999999999999999999999999999999999999999138131131132125125125125126128129130132132135138139140141141141142143146147148149152151152154155153152152152151152150151150148146147145144143145143142141141141140141140140138137138138138135136135135136135134135135136135134134133133134133133133134133133133133133133133133134134135134134134132132132131133133134134133133136136135136137138137136136133133132133133132134133131130128128127132999999999999999999999999999999999999999999999999999999999999999999999999132133134134134133131129126125125124127123123123128127129131132133133135134135134136139138139139139140139138138136135133131134130131130130128126125125129125127124122123124125123123124122123123125124124123122124121119111126119123117121120119120125123120123122122122122121123124125122120123128123123122121124118117119125119117118119123119117113117118121119121123122121123117119120123123116120119114115115118118113114120112 84999999999999999106105114103111101101106107110110109108107106108107107111107108104112113114115109108109110112113113116114111119119104114117110111117118117109115115113110108108106110 98 94102100108 97 94105108114115104115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149149149149149999999999999999999999999999999999999999999999137128128128126125125124124126128130131131134135138140141141142143144148150151151152154153151152151149150149148150149149150148147144146146146145143141142141140139141139139137139137139136136136135135135134134134135134134134133133133132133133133133133132132132132132133133133133133133133133132132132135133135136134133132135135135135135135134133131132133135135132132134132128127128128128135999999999999999999999999999999999999999999999999999999999999999999999133132133134132132130127125123121119119122121120121122121124127130133134135138138139141139138139139140140140141141139135131132131129132126128126124125122128128126124123123125126126125124123120124126124124123123121121127125124122117120120120116117115117118117122123122121123119120115119120122123122124119120122126125122119119120121121116116117117119119118118122122123117120117117114124114117118119123123122122116117120119116110101117115104100 99100100107117102114110107106104108108108104104104104101106107109111112109111111112109112114114121119118108110113112118119111117114114113114116115115114102114113103100107110111111110109114112110114114 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149147147146146147999999999999999999999999999999999999999999999126124128127129129124124124126130132133133137140143143144143144144146150149151151152153152153153150149149148147149150149149147148147147147147146143143142142140141139138138138137138137136137136135135135134134134133133133134133133133133134133133133133132132132132133132132132132132130131131130132137135132131134134132131133135135134133133133130130133134130133131133132131127127126129129131999999999999999999999999999999999999999999999999999999999999999999999132132134135132129129128126125124123122123123122122121122122127130134136137139136139136139137139137142138137138139138135129129127130128128132127125126125127128129125121126124124125126125124122123124125123124123121122124123123113123120120118117114118116115116122123120122121124123122121120120120120120119117117119117121122117123119119119117117120115118123123116114119120118116116114115122117115114115114124117114118121121117116109105103102 98 88 84 89 82 92 87100 94101 97100102104105100 99 98101103105104104106111111108110112110112115111121120120113115113111112115121119119112113112114109114113110108106107 99109113114110110111116111108101114 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148146146146146146999999999999999999999999999999999999999999999123125128120128126125124122124129130134138141146145147148146146149148151152154153151154152153152151150148148147147148149146147148148147147147146146144141141142139139139137138137136136136137136135134134134134133133133133134133133133134134134134133133133131131131132132131130131132130128128130132132132132130133133131129128131131132133134133129129130130130132129129130128126126127128129128131999999999999999999999999999999999999999999999999999999999999999999132133133133129128128128127128129123124125124122122121122126129132135138136137137138137139138143142139138135137136138134129130128126125129127127126127124126128128128124126124128123123125126124123124124123122124123123123124120120122122121121119115116118121122118111117119121121120122122119120121121121118118120120119116118114123118122120127117119118117123122122119116121121117116115120122113120121122120117120118119119119116118117113111111 85 81 91 78 82 79 84 85 81 94100111100104103102101 99103101100 97100107109111111110109110110109113116112112121122109106111113121115111112113114114114114108109111112104104 95 95115106112112113114104103107 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148146146146145145999999999999999999999999999999999999999999122126126126124125125122122122122131132137140142147148149151147149150150153152154154152153151151151151148147149147145146145146146148148148146146145144144143142143140141138138137135136136136136135133131134134133134133133133132132133134134134134133132132132131131130130130131130130129130129129129131130131132130131133132128128130131131132134134129129130129130131130131129129128127127128129129128128999999999999999999999999999999999999999999999999999999999999999134133133132129129129129129129125126128124123123123122123126129133136136139138139137137138140143143137139136136135131131132134132129127127122121123124125129129127128126125125123125125127128128126127125126124123122121122121118121121122121117118117116117118119120120120120121121118120119120121121119120121120126124121120119123122126127126119119117118121122119122123120115120121123118123114114117121116116121117116115122115113116115116113118112111 97104103999101 98 87 86113112112105105102105105104105104103103103102101104103107107113115109105 97113101114113118110105108111112115111114117118118115109108105107104104108116108105108105104108103101 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143146147147146999999999999999999999999999999999999999999122125123124120124123124122122121120131132138139142145148149150151155154151152152153153152152151151150149148148146145143144144145146147146146145146146144144142141140139138136137135135134134134135134132131132132132132132132132132132132133134133133132132131130130130129129129129127131130130130130130130130130130129131130131130130128128130131132133133132131132133129129131131129130129128127126125127129999999999999999999999999999999999999999999999999999999999999999131131133132130130129129128128127126126125124126124126129128132134137142137137139138136140140140138137138137138135133132131130129124124127125124128125125129127127126127120123127127127128128128127127125128124124125123123123123123121121119120119121117114111120120120119119118115117122123124122118118121121123123124124123121119122124125126123122125125124124121121121122117114121122120121122117119117117118118121121121126119115117116113111110112112108101107101 93 97 95 98 98100101 93105103104104105104103104105105102104103 99 91101106107 99 91 93 91109113112112115110103107113113110111116115111114108112109106105113106119112115105104101100105 99 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147148148147999999999999999999999999999999999999999999122120123122120121122121119119121122128138138138144145146149151151153152152151151151152151151150149149148147147146145142142141141144143143142144144144144143142141140139139137135134133133133133132132133132133131132133134132132132131132132132132131131130130130129128127126127127127129129130130130130129130129128129128125126126126126126127129130131132132132132132129130130130128129128127128126124124126125999999999999999999999999999999999999999999999999999999999999132131131129128129128128127127125125126127127125125124127130131134135141141141140140140145141142142144137137136136131133133128129122125124123123124125127128127129129128120128128127128128126126124126128126123122123123124123123124120121118123120120118123116124124121121122126127120118121127128129125123123123121122121125124121121121120119121122126125118125126116122122117117119118123122122118119118118119120121121122124125118113116113112108109110112105107 96103 99 96 91 87 94 93101107107107104104101 98104105106104106105102103102101 98 98 96104107108108106103110105101105109107105111117116114109111110109104110116120107103102104 96 92 91 90 96 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153150999999999999999999999999999999999999999999120119118118119119121121120120123122128139127135142144142145151150150150149148149149151150150149148148148146146145145144140141141143140141142143143143143141140141140139138136134134134134133134133133132132133133133133134133132131131132130130129130130129128129128127127127127127128128128127128128128128130128127126126125126129125125126126128128128129130131131131128128128128127127128127126125124125112124999999999999999999999999999999999999999999999999999999132132131128126124123122121120120120120121122124125127127124128132133136138137141141142141138143146142141139137136134132130129124122130129123123124124124124127129124131128129127127128127127125126125125124124124122122123123123123121120118119124125126124123120121122122123126122118123122120122125127128128124125124121122123123119118120120124124124123121124119122122124121121121116124118119121119118119117117116118118120120124117116113115118114108110110111108113101101 98 99 97102 99 87 91 96 97 94102102 99102102104107101 98102105102104102102103102 99 97 96100101100103102100105103101102107107112111104106109106108124116115110101104 94101 86 88 98 97 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156156155999999999999999999999999999999999999999999999120117116119118120119121121125124122128138130136143144142145147147148148147147148148149149149149148147146147145143142141141141141140141140140141141142141141140140140138136136135134134134133134134132133132132133134133134134133131130129128129129129130128128128127128127125125125125126127125125126127126127127126126125125125124124123125125125126126128128125126127128127126126126128127127126124122121119122999999999999999999999999999999999999999999999999999999128128128125122120118118118117119120121121121124124127127125128132134138136140140139140141143141143136137134136135134135131135124125125125128126126124124129130123126128126125127128127126126125125125124124123125126124122123125120124121121122120120120124122123122125126125126128122118120121123122125124127126126126123123123119120120120121121123124124121123124123125127124127121122115123117119117124119124120120119119118119120116118123123118114114114109107102104104100105 97101 98 93 91 99 95 85 93 99 97 96102106105101103102103105104103105102 98 97 95 92 93 87 94 95 93100 85 85103 96 88 87 80 87 99 96 92 90 94 95 98 97 97 95 89 88 85 89 85 80 98 96 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159157151999999999999999999999999999999999999999999119117114116119116118120119121121122123130133141145142141143144145147148147148148148149148149148148147146146145144142142142142141140139139139140140139141141140139138137136136135133134135133134133132132131132132132132132132132132130129130130129129128128127127127127125124124125126126126125126125125125125123126126125124123123122121121122123124127127128124125126126126126126126126126126124123121120118121999999999999999999999999999999999999999999999999999127127127125122119118119119118117117121124124123126124126126128132135136137139139140137139140140137137137135132137136131132131129128128135126121128126129129129130131123125125123125126125124125125125126127125124123124122126124127125125124120120120123124125126128128120123123123125126124125121122123126125123128127125122121121120119121121123123121124122122121119125125124125125123123124121122123123125126123124121121122125125119124124121120109120125119118100 99104104103102101 94 97 96 94101 99 92 99 96 99104105111108102104 97100100 99 99100 99 99 94 91 91 88 92 93 99101 96101999100 86 88 88 91 88 74 83100100100 85 92 87 84 85 91 94 89 95999999 94 84 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161160161159154999999999999999999999999999999999999999999999123112115116118120120121121119123123130135143146145145142141143144146147148149148149149149148148147146145144144143142141141141141140140139139139138140140140138137135134134134135133133132132132132131131130131131131130130130131130129129128128128127127127125125125123124123125125125123123127124124124125126127126125124123123122119120120120123125125127125124125125125125126125124125124122120119120118120999999999999999999999999999999999999999999999999126125125125124121120122119118117121126127125126125124128124125129132135136139141141140140136136134131133132133130134131130129125124133132129127131133132127126128129130130132132132122125125128133129128128125127124122121124127126128125126127127123123126125124126123120123125124123123123125126124126128127127126126124126122124125123121122121122124120119118120120121120117119121125124124125121125120120127127125125122119122122124119116120117110104106105112115 97 95106105102104 98104 96 94 97 95 99100101100 93 96 99101104 97100101 99 98101 98100103104 95 92 98 95 96 99 95 94 99 88106 99 91 91 93 95108 88 81 85 98 96102107105 86 85 88 93 95 94 92 94 95 90 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167164163161157153999999999999999999999999999999999999999999999114116116121123116118123122125125129134141141141139140140143143144144147149148149148148146147146145145145144143141140141141140140139139138139139138138139138136135134134132133132132132131132132132131130130130130129128129128129127129128127127127127127125123122123123124125125123122123123123123124125126126125124124123122120119119119118118120121122122124123124124123124124124128126123121117118118118999999999999999999999999999999999999999999999125122124124123118119119120119119120123125126128129129128128128127131134134134135137137139139136138138133134132131132131132132132123130123124127130129130129133128131128128127132131125122123126126122123127124124123123122122123124126127124126128127120120124126125126120120118122121124122123123121124125126127128128126126126123121123123125125126124124121117116116116122121118119119119122122119116122120121126122122123122117114115114112116114108110108103105103108100100108102106115105105101 99109 99 97103 99100 98 98 98 99106 99100100101102101 97103104102103102102 98 98 95 93 95 92 99102 99 88 92 92 93 93 87 91 88 98104106106 80 82 87 89 91 96 95 96 94 98 94 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162165165167165164162157157999999999999999999999999999999999999999999120117118119124115120117124122123126126129137139138136137138140142141144147148148148148146146146145147146145144142141140141139139140139139139138137139138138137135134134134133133133133132131132133132131130129129129129128128128127127126126125126125125125126124123125124123123124123121121120122121123124124125126124122121120119118119118118118118117118122124124125125120121121126125124120120114113113117999999999999999999999999999999999999999999125125124124122121121122122121120122121123126127129129128130130131133136137137136136137138137138139142136135132132135133133128132134129131135126128129127126126130130127131129126128128125130124126125127127120128125124123126125122122123124125125126126126125124124124123119123121127122124126125123125127125121122125126124125121123122121125125124126123124122116119118122120124119118117122125120120119115114114121119118116116112108110114109106107106107107104 98 99105104100 99100109112106107103103111100 99 94 95102 98101105106106104104101 95 96 99102101102106112104103105107106100 97101100 96101 90 98 99 96 95 93 91 91 93 79 97102100 94 90 80 91 90 93 91 89 93 93 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165165166164162160159157164999999999999999999999999999999999999999121118119120126125124123121120124125126128133134136135135136139142142143145146147147147147147146146145145145143143141140140140139138138139138136136137138138137137135134134135134134131132132133133134132131129128128128128127126127125125126127127126125125126125124124123123122123122121122121120119121123123123123121119118118116116117117116116116116115119120120120119116114115116118120119118114114116117999999999999999999999999999999999999128126125124123121121122123124122121120124129130131132132132132135133135136138140138140140139138136139139137134136134133135134135138136127134133134133133134134128128130128128129130124127127128128127127128132125126127123123123123121125123123123123127127126125124126118120126125125125124121123124124125124126125124126126125126125120123125124124123123123119121119116126121122122122121118120120117119118119115116116120118117117114109107114110106106103103102106108 96102 96106104100103104109103106106105106109 94101 91101 99103105105101104104106104100107110105102115113105106110103108104101106109102 95 90 95 94 97 98100105109109 96 85 98102114 83 88 89 90 88 89 89 89 92 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172164166167167166164162161161163163165999999999999999999999999999999999999999999118126125123122121120123124126127129131133135135136137141142143144145145147147147147145145145145143142141141140139139139138138136136136135134135136137135135135135135135134134134136135133133132130128129126126125127127127126125126126127126126125124123123122123122120120120121121122120120120121121122121120118117117117114115114114114113114113114113113114115114111111110110110109110112113115116999999999999999999999999999999127127126125125124123122123123124127126125126127128132133135135135137137136138138138140140140137136137136135135137135136134134134130135134135134134134135134133135131128127129127132132129125126126128130125124126129127126126120122123121120121122120124126125126127125126126121124120125122127128128123123126126127125128127127127126125124122125123121123125121120118121127122127123121123123119120120119116115118117117118118117115115115110110108112104112116116114114116103104100104106115101106108108108111110108112112102107 96 93 95101103104107107108110116 98 99112115117108112109108107107111106106101104112 94 90 89 90100 97105107105108102 86 98 99101104 97 82 85 85 87 86 87 90 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166168168168170169168166165165162162163999999999999999999999999999999999999999120114124125122121122120122122122123127129130133134137137139142142142142143147147147147146143145144144142141141140140140139137137135135134134135135133136136134135134135135135135135135134133133132131129127126126125125127128128128127127125125124122121120119119119121119118120118120121121122121122121119119118116115115115116116114113113112113112110111110116116114112116111110109108110113113113114999999999999999999999999999123124123123124123122122122123122124128128125128131131133133137136136137137135136139138136136137137137135134137137135134132134134134135137136137131132133134130132134129126124128126124128124135126126126130126126126128127122123122121122122122120121121125126126127127126127127125123124125122122126126128125127125124125125127125126124125125124123123121123124125121117119117123122121121122120120120118119118119117121117117117117118113112110112117116109110111102108102106105116108108114118112115108108110112112109108117115111106 94 97 98 98105106107110110112109112112109108109116112111112113110110110107101 99 98107100102105102102107101101102 92103 99104106 98 96 96 89 92 87 85 88 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177168168170171171171171170171170170166165165164999999999999999999999999999999999999999113120120122122121120121117118121124125130130133135136138141143143140142144146146145144143144144144143143141140140140139137137134134133133133134135135136136136135134135135135135134134133132131130128127126127127127127128126126126125124121122120119119119119119120119118119119119119122122122121121121120118117118119120119117116115113114113111112111110111112110114114114110108107108112111114115112999999999999999999999125124122119120120120120122123124123124126128130131133135135137137137138137136135140137136138138138137139136134135135134133133132134131133133132133126127125126130135132134133126126125128124126125125125125124129129131133131124124125124120119125124125125124124125125126125128128125123122121123122125126126126126126123122125127125125126123123122123123122123125125124123117118121121120121122123120119121122121120119120122119118118114112113115115113112109109116119109 99111104112117116 98107108108 96118106106108105104114107109119118110 91 90100107109112113117114115110116123127107113126104109112111114120112107106109106102105104109107101105103102 98100102104 96 96 93 91 97 97 91 91 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177173169169171171171171171170170170169169166164999999999999999999999999999999999999999999116121122123123121119118117119121124125129132135136137138140140142143142144144144144144144144144143143141141140139138137136135133133131134134134135136136135135134133133134133133132131131130128127127127127127125126128127125123123123120120120120120120120121120120121121120119121120121121122122121121121120120121122121119117115113113112110110110110111111111113115116115110107107107112114116113114999999999999127126125123123121124123121121123124126124124127128131131135136137137136137137139138141140140139139139139135135138137135135135134134132132133134130133132132132125125128128130133126130129129123124125126124125131130131132124125124125124124126126126129124125124123125120122125124123124122124123123126124123124123125125122123123124124124126116121124124124121122123123123122123124125124121117117117117118119120118117117116115119115116114114111110112113111111113110109108111112111107106105109 98112106121117118110108124117105115115107112118123124111103114110118105112119112115112113115107124128120115108108113101105107108108107106110112111112111113110108110107105 88 99102 96 95100103106103 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176167168170170171170171171171173171171171169167168999999999999999999999999999999999999999119119121122120120115114115116115115124126129131133133136137139140139141143143143144145145144143142142142142141140139138138136135133133134134134134135134134134134133131131129128130129129127126125125125125126126125123123125124124124123122121121119121119121120119119119119119121122121122120121121122122123122120121120119118116114112111111110112112114113112111112112110107104105106109111111112111117999130128126125125124124124128128127125125125129130129128130133133137138137138136136136138139139139139139140140140136137141140139136135134135135134131131132133129127133133132130132131128127125130130129125131132130128131130131123124126125126125125125128128130128127127127128121120127125114119123117119122125119118118121121120122121114118117115118118117118122123125121125114116119121121122123121119120117116118123118117118113120115111111113115110112117116115113114114113114110108105109109110103105107108104117109112109117123127119118113109111121119117118114119127126101105129115109116110115125115115115108118116114113114108109111113114113114109112113111108113115112112106106103100100104107104107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167168170170169168169170171173174172172171171999999999999999999999999999999999999999999124116117121118115113114114114112112119124125130133134136136138135138140140142143142144143143141142142141140140141140138137137136134133133133134133133132132132131131130129128129129128128127123124125125126126127123122123124125124123123122120119119118117120119119119119121120120121121122121120121121121121122120120119119119117117114114113113113113115114111107107107107106106106100100102106111107118124123125124124124124124127126127127127129127129130130129132134133137137136137137138137137138137138138140139140137138140140141139137135134135134133131133132132128128134135137132133130130127127126127127128129129130129131130131130131126131124130130129131130129128129125124122122128123124124118120117118122118116117119121116117122121122122115113116114114116122122123119116118118117123122120121120120119116118119123123125121116116114113113113112108113116116116115112112108108111110106106108116107105108106115109115116121126123123123108116112103117117118118110113111109111 99116105108112115120126108107113128126117118117109111108107113113105115116116114113110111116114107107109110108105112114112109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167168166166168169167168169171172173173173173999999999999999999999999999999999999999999999126117120123116112117118116115113112120120124127130131133136138137141141139140141141141142142142142141141140140140140139138137136135135133132133132132132130129130130130129129128128127127126125125125126127127126122124125125125126122120120119119118117118118119116117116119119120120120120121122121121120120119119116118118119117117114113112112113113115114109110999110108105105105102 99102112107117126124120120120118122127124124124126127128130128129130128128130133137137136134137138139138138137138138138138139139139139140139139139135134134133133132133129131131133133131128129127128129129129134126126127130132132130129128128129129130130125124128128126128128128128128123122116115124123126125126126122121123118116118117119116119118118117118120117118114115115115122121119118119119122119121119117116117119120122123122118118116114119118116114114112112109116116113113113112111109107106109110112112108108109115112104113115121115114121121115100103115110107111114110102100101109117104104102115124126116119101111107109112112112116106108113114113114114119112114114113117113106111108107110112114115114114115127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167167166165166166167168170170171172173174175999999999999999999999999999999999999999999999999120121122117120123121117117115114117123122123123127129132134136140139139138139141140140141142142140140140140139138139138137136136136135134133133133134133134132131131130130130127129126127124123123125126126126123125126126126123122121120119117118115115114115116116115116117120117118119120120122121121118116112108111121112113114115112110111112113114114110111109106109106104116115999999999111116121121117116117120121128123121122124126126126128128128129131131132135135135133137137139138138137137138138138137137138138139138140140137135134129134133130129132133132133132128128130127128129129131126131131128128128130130129128130131130130126126126127123125125120121128120120118125124124126127126123120120120118114114115115115116117119117111116117115121120121112117119121116117120120121120120122122122124124125123123119116119118120118118119114116117117118115118111118118117111115117112111110112112110114117115112114118122121123121118121111101101102109115123119106 97 99103120104102104116116113116132121113117115111110117120115115116113113112115115117112114115111109110116113112114116116116116116115125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166166164163164165167168170170170171172173176999999999999999999999999999999999999999999999999116110121119114121117115114113113115118120119119121124127129131134135135137137137138139139141141140141141140139139139138138137137137137136135135134133134134133131131131132132130128127128124124122123123125124125125126126125123123123121118118119117115116116116115117118118117117118118120120120120119122110109109108111110109111112113108109109109112113111109111108107105999999109103999111112117119114112113114116121122118120123125127128126125126126126127128128130133136137137136135138138137136136137137135135136136137137139139138135134135134128132129128131131131128127127128125127127129127125130130127129132131131130126127128125123127126128125122123126124122124123121125124125125125126123123123120116116115115113117118118122120121113113115115118121128119117115121119118122121119119122121122122124123123122122122121122119118115117121117117117113114113110115117116116121108111111116112111119120120119113109114117117119127132134120117119119118117114114117119114105103122122105126103105109111121113115116112117118121118117117112115114114114115114113113115117114111116117115116116109115115116116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164166166166165163167166167169171172174173174173172999999999999999999999999999999999999999999999999114124123117113119119113113109111113115117118118118119122123126129132135135136137137138140141141140140141140140140139138138137138138137137137136134134133133134131132133133132131130129126125124122122123125123125124125126124125122121119118118117115116117115114114116117117118118118118118119120119115118109109108107109109109109110113112109109109110111110107107106105999999999109108110115114116114112110111115118121122120123125126126127125126126127127127128129129131134136135136136136134136136136136135137135135135137137138138135135134135134132133132128131130128128128128128126128129129127130131129127128130129130130128129124126127128130130130124123129129120121122124120121125121122122123124122120124122122113119120118118115117118120114116116115115118117119117123119123123119119120123122119123122119120119114117121124122121116115119115111119115115116113114113116116115110110114111115114124120114110117113115115117113119124114113125116114117117113114120124106124116114118116116130105107110116115113117120119113113116118117118113114115114115115115117114110107115116113118116111113118116116116113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167165164167173172173174175177177177176175174999999999999999999999999999999999999999999999999135131131118113120119114111109112114114115117117117117118119121123126129131134134135137139141140140140140140140139139139139139138137137137136137136135135134132134135134133132132132131128126124126122122122122122124125125126125125123120117116116114114116116115114114116117116117116116118118118118116113111110109106107108109111110110109106109110108107107105103101101999999108107107111115114113111111112113116120123124125126126123122124124125125126127127127128130130130133135134135135134136136136135136136135135136137137137137136134134134133133133132132131131130130128129128128128126127129128126130131131130130126126128128128127129128126130130123124124126125124123128126126125126125121120121118119120119116117116117118121119119118119120121119114115117118118119121122119119119119117120121122123120121117114118117118118120120123115120118115117120116115114117112117114114113111108111116113117119120117120114115115115116118119120115119114127120116118117117122120128114121120113116113112108117116118115118115115118113115117116116114114115117116116115117115115115114116118115114118117117118116117120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164165166168174177175176177178179178178179175170999999999999999999999999999999999999999999999999130114117111115117113114113113115114115116116116116117118121122121123126129130131135137138139138139139139139139140140140139138138137137136136136135135136134135135134133131131130129129128128127125122121121123123122123125123123123120117115114114112111112115115115116116115116115114114113115116117114113111109106104106105107104107107108107108103103104103102999999999999109108109110111112111110110114119122123126127127124123122122122123124124124126127128130131131129128128130134131131134135136135136135135134135136137139139137134134133134132133129131129129131131131131130129127126129128125127129130130130130125124126124126127131132128130128127124126127127129131128130125131125126124118117114116120121120118119118117118115118118118120119118118113116116116118120120114117118121116121121121121118117120118118115116118120124120117125125114119123119114115118118119113118116113110111113116115117123121114116113114113116108116115112118112115114112127119118117119125126125121116117116112113117118117117115116114115113117118111111116116115113117117116116115116116117116117118117118117116115115116143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165165166167175175176176177177176178178177177169999999999999999999999999999999999999999999999999123115109103113112111112114114116117117116116115117119120122122122122124128129129133134135135136137138138140140140140139138137137137137135135135135136135135135135134133131131132131130130128126126125124123122122123122122123122122119114112111110111109111112115116116117115114113113111113113113115113112111106103101101102102103102104104103103102999999999999999999999109110108107107108109110115118121121123125126126125124124122123122122124125125125125127127129130130131129130131133134133134135134135135134135135137136138137136133134134133132131132131130129130131129131130129130127130129129125128127127126128129129128126125130131131130131130130127124124124126128120130125126121125120123121125119117117117119123118115116117116118120117117118120114114121114113115116113115117114115122124121122117119123127114109110114115119120116116117118116114119119117116115116117120124119118116116117119120123123114117117113115113113118112115111113118116121117119111111118117119113118115113117115118118116117115113115117115113116116116108109109116107117116118119117116117115117119118117116116114115114114141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165168170172178176176177178178177179179179176172999999999999999999999999999999999999999999999999999120121116105109115112114115117119120120118117121124123124124125124126128131130131133135133134137139140141141139139138137135135134135136135136136136136136135135134132132132132133132131132130129125125125122123123122123122122121119115112110111114111113113114115117116115115115114113111109110113110108107100101 98 98 99100 99101 99100 99 98 97105999999999108107108109110109109108109111116119121124125125126126125124123123125128126124126122122122123124124124127128130132131129132135133133135134134135135135136136136135134134132132133132133132130130130130128131128129129131130130130130130129127128127130130130129129129129130129128130127128129129126126125123121124126130129128129120119121129125120117118121120119117117120117119120119119112114115115111113111111112111118116114122122125126118120124127130125119113115110110115116114112123118118117121121118117112116120124125118119120118119118110114112118118118122114113113112111111110117121116114115116114119115117121122118115118120116117116120116113113114112114117114113115115111111116113114117116116116117116115119118118116115114114114111146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164170174177175175176177178179180179178178178999999999999999999999999999999999999999999999999999125120110103112115113113114118122126125124125126128128128127128128129130130131134134135137137139141141141141139137136136135134134135135135135135136135134134134133132132133132132133132132131129127126125124124124123124122120117115114114112113114114114114115119117116117117117115114110109106103105101104102102100100102102100100 98100103101 99104999108108110110110111111115115110113116120123126128127125127123124124123122126124124123123118119118120122123125126127128132131130133135135134137137136136134136137137136134134133134133133133132132132131131130130130130129129130129130128130128128130127127129131130131131129127131128126127125125124127130128126123124124123128130130130126123120122121122117117123123122119119120117117117119117118118113113114114113111110114116117117125117119115114116116127129124123121113113112118120117120125117116114112119112114114116118122123120120117115111109114111110117118118122120110116117118119118118113118116119120116117113113116118119113113114117115116120112112110116114117114116117113112111114111113115116115116116117118119116116116117118114115114114111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167171171173174174176177178178178178178178177174999999999999999999999999999999999999999999999999999999114104104101114108109113120124126128129128130128128129128128128128129130131133134135138140142143144143142138137137136136137137137136136135135136135135133133133132133133133134133133133132130130128125124125126124123122120116114113114112114114115115115116117119119119119119114115115112106105101101106103103 97 99102104104100 99 96 96 98 97105105112107117116116110114113110115118118121123126127125122121124126125124122126125123125124122113118121124122122122123126130128128130133133136136135135134131132134137134135133133134132131130130132131132129128127127128129129130128131130130129127125127128129130131132131130129130127129128129128125127126127127128124125121122126124124124125122120123122121120123123122122119124121118119119122122121122120115113114113115110115120124116119116116116118116124128125126126115113114117118119121120117119121121122119121118117114122130126120119114111115114112114117124124125124122114119117116112113118118115118118122116114114116113118115111117115116115114111110113112109114116116117113113113114114114116115115115116116116118117118116117114113115115117110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173168170172174174176176177180180180181181177176176178999999999999999999999999999999999999999999999999999999999108111107113114112114122128129130131129130129130131129127129131130132132134138141144145145145145143142138137137137137137137137137135135134132131130130130130130131131130130129130129129129130129127123125126124125124122119117116114114115114114114115115115116116116115116114115113112108102 99100104104101102102102 99101100100 98 95 93 96102105108112111109108113107108109115119118122123126124123123124125128129129125125127122122118121120120123124126120122125128127126130131132132131131133133133133132132133132133132135133132131131131131132132132132129127129128128129128128128129128127126128128130132131131131132131132131130129129127127129129127126126123127126125124124124124124123122125125122122121122123117119119120117118119122123123122125119116125124126130124119129125122125123120121121123122129127126115115114121117121120121120118120121119120120122119119120118121120120119114113116114117119113112121119123123113117116110112111114114116117118115120119119115114114115114114113114114111108109110114118115117113114110112113113114113113113113117114115115116116114116115115116115115122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169170173176178180181181181182181182181181178177178999999999999999999999999999999999999999999999999999999999112109105110115119120120124127129131131131132132133131131132134133135137141143145146145145146147146144140138137138138138138137137137136135135134134133132132130129128129128127126127128127127126124125123123124124125126122116117116116117117116114113115115114114112112110109106100102103102 98 96101 99100 96 99 99999103101 99 96 97 97 94 96103105107108107105113107113109119118119121125121122121123122125129131127126128122123124122119122123123124125125125125128130128132131130135137131132132132133133133132130133133133133131134134132132132132132132131129129129129129127126126128128129130131130133132129129129131129129128127127127124124126127129126127126125125124123123123124124122123123123125125125120119117120120118117119121121120119122123130124125122124131116117118123120121121122119118119121114123123117117120119119117113114119121117119118117118122122123123120118115117119117115113113115118116115114117122122119117117116114119118116115115113105114113115115114115118118115114116114112117110115116115113112111112112115111116115112112115114115111112111118114115117116116117109108119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166170174177179180181181181181181181182181180179178999999999999999999999999999999999999999999999999999999999999127123123102121121121123127127130131132133133133133132134134136138141143145146146147146146147148147144142140139139140139137137137137137136135136134134134131129128127128128128128128126125125125125125125125125126124119117117116115116117115112112115113112112109111107104101 98103 96 99100 98101 96103 93 92 97100101 95 88 96 96 97 93 94 95104102103108107106113116116113116119121121123122122123125126123127131126125125127127125125123122122122125126128132131132133132130131135135132133132132132133132131130130133133130131130132132132132132132131132132131130128128128127129129130132130130130129128128127128129126127127126126125126126128125126127127125127126126126124123124124125124123123122123123122117117120121119121121121121123125120124126120122130122120132130123119121122124122120119120121120124120116114119120120120119119119122120120118120120116116117122120119116120119115116117115116117121116117117119119118119117114112118114115118114115114113111115108109110119114115115112111114114111115115112107110111109104111112112112111112114116115114111115114115116118117117119111116117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168172178180180180181180180180180181181180178173999999999999999999999999999999999999999999999999999999999999132132123109122121121124125126130131133133133134134133133135137140143146146145147147148148148148147146145143141140141140139138136136137137137136136134134130128130129125125126126126123124124123123121124123123124123118117119119116114115114112114111111112106103107108102102 97 96 99 99 99 98 97101101 96 94 86 90 87 82 81999 94 94 92 96 96 95100106106107115117114113114119123118120124125124126126125126130127126124122123125127127126126121126127128132131131131130131132131132132130131131132132132132130130129130131133130133134131130130130130130130130128129128128131129131130130129132131132129129126126125125125125124124125125126126124127127126126126126126125124125124124125125123123123123124124123121120118118120120127124124119123124120120120121119128119122124125123123121123121120122121121122122121120115119120120118116116118119116118118116114113116115114108115118118113115115120120118118117118119118124121114119120117116114116116115115115118114114112117119122116117113114114111112113110114114114112112111107105113118118110111112112114114112114118113114114115117118111111117119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166168175177179180181180181181180179180179179178999999999999999999999999999999999999999999999999999999999999999135131127128123121126126127128130130131131133133135135136136138141144146147147146147148148148148148146146144142141140141141140137136137138139139136132129128126126126125123124125123124124123120120122122124124124121120116119119116116115114114115113110109104100 96105101 98 93 97 98 96 93 94 94 95 93 97 94 90 90 82 83999 87 93 81 91 95 96 90104107108110114115112116119120121122121123123125126126126128128127126125123124125125126125126126127128132131131129129125128132134132132133134131131131131130130130129133134134133133132133130130127128129128129129130130131131131133133131131132130129127127127126126124125125124125127126126130129125125125124125126126124123125124126125125124125126118120126124123121122118119122125122120118115121121121120116119118119122124124124122123119119121126121119122122125119117113116118117125117116117119119118118116118118116115116114113116114115117114117117119122122120122124113116123119120120117116121128117118113116120116117118118117115116107112103109113118114112114110110109117119116115114113113112114116108113112113112113114116116114114114114118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165170171173176178180181181181180180180179178177178999999999999999999999999999999999999999999999999999999999999999999133134129121122126125129127125127129131131133135138137138139141143144147146146147147148147146146147145145144143142142143140139139139140141139136132129127124123122123122122123121120121121120121120122122121121122119122120119116114114114114113112109108101 97 94 95 93 95 91 93 94 91 92 93 91 93 96 96 93 94 98 93 92999 92 88 91 97108105101104109105113116113124120120120120121121122124125125127127128129130130129127127124126125125123122124126124130130130130131131131133133132130130131131130130130131130129132133133133132133134134134134130130130130128129129128130130132132130129128128127126126128129128128126125125128129125126127128126123125124125126125124123125125121120122122123122122118121122122122121118119120121118122122116119120118120117119120124124122121122122123123123122122124122124121119118116118118116120107126117117122120117117118117118117117116113112116117114112114119117117117116120120119119121116120119117117119116118118114117117118118114119118118116114102 98104102115116110114109111111113105118114114112111114109114112112113114113113113113117114117116116116120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170164172170172174176178179179180180180180179179178179999999999999999999999999999999999168170170172169170172175999999999139130137139127125124128127124126129132131134137137137138139140143146145147148147147147146145145145142142144144143144143142140141142142142141139134132129129125123124122123122121120120121121120121121121122122122122122120116109110112111110109108108106104100 98 97100 94 90 90 90 88 90 90 88 91 92 98 96 94 94 96 86 86 90 86101102101102101105107110120115123119119119121122123122123123124126127128128129129129127128129130130131131127132131131128128129127129128128131130131133134134134134131130130129128129132132132130130131132131132132129131131131132132130130132132131131128128127128127128128128128127128125125123129127130124122123124124124124123124124124122122124124122122122120121125122123124124123120123123123122118121122121120121121122118118121122124124122122122122121121125123124122122123119116114122124118117115119119121121122118119119119119119119121119118113119117116117117121122116119119121115115119123118119119120118117119117120118118115117114116116114115117116100117116116116128119128108112104108116110112114111110110113111114113115114113114113113117117117117116123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161168170174175176178180179180180181180180180180180999999999999999999999999999168169169167170171170171173174175177999999131133131129124122123125124128129131132135137138138140141141144146148147148147146146146146145145144144145143143143142141141142144144144142141138133137126126124125125123121120118120121120121121121122123121123124121117117115113112107104106104104105104104101 99 98101 94 90 90 89 92 90 84 85 90 93 91 93 94999 97 96 85 90 96 97102105107107113112115114119121120121120121121121122121123124125125127128128129129128130127125123123126126124127124125127128129126128131131134133133133133130129129128129129129130132131132132133131130129132132132130130130131131129130129129129128128127126126127127128127126127124123123124130130124124123120122124124124123124122122121122123123122122122121122121119121122121119123120120119122122122123119121118121122122126121126126122122122123120124121123124121123121122120114120121114116114119120117118119119123121121121121120118119115113112115119118116120117120116114117123118121119118116117116114118121119120119119119120120115117121119117116117120122125124127122127110115111112111111107114116118119112112112113111114113111111112113114115114115106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160161168169173175176177178178179180180180179180181175999999999999999999999999171169171172172172173172173173171172176175158135133137129123123125123124128127129131134136137139140141144145146147148148147146145144144144145144144144144143143142143143144146145145144144142138134130128124125123120121121121122122121121122122123125125124124121117115111110109109101100103102102104102 99 98 99 97 96 96 95 94 91 89 84 83 87 96110102 91 93 90 92 80 93 93101 98100108113116121117117118122121122121121120120121120121123122124124126127128129127126126127124123122127127129128127128130131129130128132132131131131130132132132131132130130127130130131133131131130129128131130131129130129128127128128128127127126127128127126126127126126126124125125125127125125125124125122122124125124123123123122122124124125122122120122122123120121117117119118120118123122121119123121122118122121122120124123123122124124122122122124114124125124120117122117118118115113117118120117119120121118121119121117120116112118116116114116117122117119116118116118119122120124122115115117117121120120123119122117119119122117118122110116118122115120119122119119109114110104113114123116110114109119112113115111112110111110113116114117116122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164168170172173175176177178178179180179180179179999999999999999999999999999999172172173173172173170171169170169170173171165149136130122122123124126128128131135135136139140142144145147147148147145145145143141141141142141144143143143142141141142144146148148146145145144140136131128126126125125124124124124124124123123122124125125125123121116112110107103104103 97 97 97 99101 98 97 97 94 96 97 96 93 90 88 86 89 86 91108107104 94 85 80 82 86 94 99104112111110115116121118119122121120120119117120119116118117119118121124124125126125124125125127126126129128127127125126127128128129133129128127126127130129130130130127126130128128128130130131131129130130131132132131130129127128128126127127126127125126125126125125125126125125124123127127123126125125125126125124123124124126124127126127124124122123122122124124124122123123123119121122122123118118117122121124121121124121122122124123122121122119119115119123125121120117116121118116117115120121118117119119118119123123123122124122115119113113117120118120120119116115118117121118117118123119119117118122115123121123123119116113111112116116118118119119118121122117115112112115121107112115121110111111114114115110115114114117117116112116115115118112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167171171170172174176177179179180179180180179999999999999999999999999999999166171170172173173173171171170168167167169171165152999146125119121125128130130133136137137140143145146147149149149148146145144142142141142143144144145146144144143142143145147149149150148149147146143140137132129128128128128125126125126126124123124125126124125122117114110108104103 98 96 95 96 96 98100 96 93 95 93 93 94 95 94 90 85 73 77999 74 78 79 79 86 81 84 88 94 96105110113112114115115115120120121119117117119118117116118117119124117118121127127123124123124126127126125126124127129126127127127128128128129132131132132129129129129127127128126130130129126126127129129130131129133132130129125127127126127126126125125124125126124125126125126123125127127126125125125125125124121124124125124125124125124126123121121122120122122119121123120121122122122122121121118123124125119120121123122122123117121121121123121122121118120124125116120118129116120118121120114121118122119117119122122121118119119119123117117115117117119119119117118119122118118115114116117119116113116119118121122117117118118120115110117117119118121118119120120114118117119122121118114110113119117116113116114114115114117120118116121120115116120113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167169168168171171175177179179180180180180180180999999999999999999999999999999170170170170176174173173172169168167167168167162155144145129126122126127129131135138139139141144147147147149149150151150148146146143143143145148146147146147146144142143145148149150151150149149148147145142141138132129129128126127126126127127124125125124123123122118114112108104 99100 99 95 96 95 91 95 95 91 93 91 91 94 92 89 84 87 80 79 74 72 75 83 81 78 83 95 95 87 95108112112116118116114113113117117117116115114116115116119121122120119118120122121122121119121123124124128127124128124129126127124127126127125125126129131132128125127124124125126127125127126125124126129129129128129129128128125127127127128127126125126126126125126126125124124124124124125125126125125124125123122123123123125124124122122122123126124123122122121119120125123119119119121120124125121124121121121121121120121121122120120119120123121121124118119117120119129128127121112120121120119121120118120120121117119124121124121121117115115117118118120119121119122120119120122121120120121121119118120118118121119119112112111117119117120118118123117116117110113113115114115122110112112116114122110108111114112114112110115119115116114120117122117123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168167167169170172175177179179180180181181181180999999999999999999999999999168168175172172173174172172171169167166167167166163156153120128125123125126129133137139140141142145148150149150149149151150150150148147146147147147148147147147145143141142144147150150150150150151150148146144143143135132129128127126126125124125125124123121123123122119116110104100102 91 92 91 94 91 88 92 94 93 92 92 94 94 89 85 85 82 77 75 73 76 78 77 71 68 68 89 96 95102107111118118116117116116114115116115115114115116114112117117117118118118118121122120120120122122123125128129130130130127129128126125124124124126126128127126125124123124123127123125125124124124128128127127127129128127127128128125126126127126125124125126127126125126125125126122126129125125125125124124123122122121122123123124124123123124124125125122124125120119121124125120124120121123124125125125125126125122120120123121119122123122121124121125118116123118127126119117122122114116116120121118118120119122121122123121122122121122118116118116118119117118117117121117121119123119119124119119116117119120117121120118118116115115117116112117117114113114114112111111110124123119121113111119115107104111112116115115118108112114114115115118121122121116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164168168168169170173175177178179179181182182181180179999999999999999999999999166167171172173172172170169169169167165166164162158153148137131128126127129130133136139141143144147148149149148147147147148150150150149149149148148148148146144143142142143145146148149149150150150150146145146144143143138132127124124125123124124122122122123124124122118114109103 98 96 94 92 92 93 93 90 90 90 94 96 96 93 91 90 83 79 77 74 73 82 84 74 71 70 70 82 70 91 87 93104114119118116117115114114115116113113112111113114116116115116116116118121121122122124125124125127132132132129130131129131129129128127125125124124127125125126129124123121126126126125125124123127125124127125128126126126127126126126126128126125126130126129127128123122125125123122127123126126125125124129121121119121123122123122122120121122124120124124125125122123123123124124121120123125125126123123125124123121120121120120125124122120122123122121118117128124116117116118118114114114118121117120121122119123121122121119122118121117116117120119120115116115118121117117120120116115120120117120120117118118119118119114113121121116117118118117117115118122116115118121126123122120124119126116111109112111116116117119118117113117113120120122121123125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160166166166166171172175177179180182182182181182181179177999999999999999999168166170172173173171170169169169169165165164161158153150142130132132127127131131134138141143144145147148148147148149148148148149150151151151151149148148148147144144144144146148147149150151153150149147146146146142142144143136127121130124125123122121122122123123120118116114110102 98 94 87 81 80 90 88 88 84 87 90 93 92 93 88 87 82 71 75 71 77 77 77 73 73 71 79 81 73 93 89 93102112119118116114120113114115115108110113114114115115115114114116117118120121122121121126125127128129130130129130131133132130130126122120125127126124127126128135132130131134127126128128126126126125129129127127124124126126125127128128129126126127128128131132132128127127127131127126128130124128127127129125125124130127121122120121123125121122122124126127126126126126126123124124126124126125121120125126126125122122123119118120120118118121122124123124119118118116123115114116116119120119116117116117119119121124121116119116114119117117121122118116115117117117118117117118118116118122119118120118119120119120118120116118118115114120119113114119113116111112112116119124120124121125121123121123121122114116115116118119117115119120120119119119118126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164164166167168173174177180182183183184183183182181179179999999999999999999164168171172171171169169169169170169169166164160153149144134134121124121126132133137139140143144144144146146146148148149148149150150151151151151150149149149149148148149149149150151152153153152149145142137135138136141140141139126123121124123123124123124123121120118116112108105101 96 91 93 88 87 87 88 89 86 91 92 92 89 91 88 84 78 71 74 76 78 75 75 80 75 79 81 82 76 83 95100106113119115116114114118113114114115115116116115114114115115115118118119121123124121124126129130130130129130129130130130131131131127122122126127127124125130128130134140127133134133134128129125125127126130128127126125126126126127128129130129127129129133132130127130127127129129128128128126125124124122130131131125128124123122125124126124125121122126124122127127125126126123122124128128130129126126127122124123126125122122123122122121119120119118126125116115119118118117120119116117115116116117120117117117117123117121119117119123121114116116117117118121116117114116119121119118120117120120119114116119123120118117115116121118117120120116121119115112112114110114118122118117119120117119118119118120109113114113109108118113120118119119120120121127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168169168167167170173174178182182183183184184184184183182182182177999999999999161167171169171171170169168167168168168167166162157152148144139135132137131130133136136140142143145146146145148147147148152152152151151151151151151150150150151152152153153152152152153154155153148141134132126125129134139140140140135131127126124127126125123122120117116113110105105100 97 93 93 90 88 91 93 92 90 92 92 91 71 86 88 84 78 70 74 74 75 76 79 80 79 90 85 82 88 91 95106107117117116115113113113114116116115115117118114116116116115115117120121124123124122122123125127128129132129129130129132130129130128128126126125125125124133135131127129128128130137135133127124125125129130128127127125126126128128128130129127129130131130132127128128130136128128129128127129133126123122126123130128127127125124127126125124126124127126123122122124123119124125121120122121122122122123123122122123123123122125123124123123121121118116120121118119119124119121123117118121117116116118119117116116121120119118119120120118117120120122115117118116116118118117118119120120119120118118120118116121119121118123123114120115117111125122109116115113116117110111118114117119119117115118117117120108107110109115113114113117117120122119124123123118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166163168170170170169169172175179181181182183183183183184184183182183183181999999999999164172173171171170171171170169169168166166164161156152151148149146150140139133133136137140143144145146147147148149150151150149154153152152151151151150151152152152153152152153152153154155154147138130128129121123129133136135136137137133131125125120125125121119115111111106108109104 99 96 91 90 91 90 93 92 88 88 90 88 87 75 81 85 81 76 76 74 74 76 74 78 76 75 85 86 86 90 95102111115120118116114113114115116117117117118120117116117118118119124122123124126126125121121127127133129128126130129129127130131130129139136129128128128127126134130128129136131134131124126127132132128130132131132132126125126127127129129128129128130132132127134130131128131130130131132131131130129127129124123123129126125127127124122125123125123124125124123125124128126128125120124120123122125125126125125124124124123126126122123123121119120118119117118119119119122118121120118119123120118122117121119117118122122117119118120119118119118117119116117117117116116117122118119116122119118119121118119117118122121119117117118115116115115111111107125117113116117115117115115113118118112115119116118120123111112116119118116115114117119120121126126126125122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164168167169171171172172170177179179180182182182182182183184183181182182182183999999999999167173174172172171171171172171170168165164164161159156153152150149141153138138137139142142143143144146147148148150151152152152152153152152152152152153153154154154154154153154154154156156150140137134128127123130132132136136137137135128125121122123123124119116112108105107109106100 97 91 87 88 87 93 82 77 82 88 91 89 81 85 81 81 76 77 76 75 75 74 74 76 86 97 90 90 95 90101110114117119119117115114113115118120118118119125118118124120120121122124125127127126126127127128129130132130128129129130129126129129130139130130129128128122133134135126129130132128126128126145143140125124131138131128128126125127128130130129130130132131128127132129129128131132133132128131131130131131129129124124129131133128126123122123124124126128127126126128126127127126127129130126126124127132125129126125123124124124123125125124125122117120119120121119120119120122120120120120114120119117117119124119119121116121118118121121119118118118118116116120118115119121117120120119119118118117123120120123121118123119118115115114115111110117116120121121116114118119117116113120121120115115118120116117113114121119114106118113120122112118118120123118120118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166163165170173174175174173175179179180180181181180180181181182182180179180182182999999999999166172172172170171171171172171171168166163163162161158155153150146149143142139139140144144145145146148148149150151151152152153152152153152152152152153152153154154154154154156157157157154147131125134132129126126129133138138138136129129126122120120121116113113106105104107108100 96 95 91 89 96 94 88 86 80 79 81 87 86 79 80 79 87 86 89 81 84 87 84 90 82 95 87102 97101 97105116111120120117118117115116120119120121120119119119120119120120121122123127129128129130130131131134133132133129131133129129127128130137137131130125128134136131134132133129128131134133134125135133137130132131132132136130126124128127127131130133137133134135128129129130130127128129129130130129129129129129132126125128129128122123123130123128125127127126126127128128125125124127128131127126124128129126128127128123124124124124125125124124123120119120123120120120119119118124122122121120122122124118117119120120117117115118116120122120120120118118117118117119118118118119118119117119118121119119120118119120120120120118120119120118116118124123119121123121119119122121123124108107111118118111125111114112110115122124114115118120116117120122124125123126120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166165162164172173175175177177179179179180180181180179181182182181181181179181183999999999999999170172170172171171171170171172170169166164164162160159157155153149150149148145145146148148147148149151152153155155156155154153154154153153152153153153153153155155155156156157157156156151142133133137132132131130132134136136134129127131122124117114115114109112110113109112109 99104 96 95 92 89 81 78 83 83 82 80 79 80 78 80 88 86 89 96 76 87 85 91 90 92 95 96 99101109106111115119120119118118118117117117120120121120119119119120120120120122120120126129128131131131131132133134134133134136133129132131130131133139133134131138136137131131141133132130131132136136131132128132132130134131132126131132127130130125130131133125134126126131129131127126130128129129131131130132131129129127125125128127126121124127129127129130127128126127127127125124126127127132133131128127128129129130128126124125125127125121125125128120121123124122123121119121120120121120120121123125124126120119122121120119118117117120120119124119120120119119119117118119119116117119118119119121121122121120120120119120118116116118119124121115120117118123122122120111121123122122124115111111114114114122120116116116114119118113116119117117126122120126125123124123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166168165166172174176176177177180180180182181183181180182183183183182182181184179999999999999999172172172172172171170171171169169167166164163161160159158157157156155153152151150150150150150151153154157158160160159159158158158156156155155155155155155156157159157156154154154155152147140134132133135133135137136137137134131125128127126124124120112118111117118117115114107103 99 90 88 79 78 78 79 79 70 78 84 78 83 82 79 83 84 88 90 85 86 85 86 90 92 92 93 97104110114114116119120119118118118122119121124121121120120121120119119121121122121123126129130131131136132132132130133133134138136130130133133134133136134140140141139136130132133129129126133133135134135132133134134131132133130134131133133135129123127127132134134126125132135127131128136129132135133133132138134134134132131129127131131127124128129131129131129132133130129129126128132127132132135135132128130129132134134127124126126125129123124123123126124123121119121123124124125122120125122124124122123123124121123120120119116120120118119120119121120120120118119120120118120118119119118118116119121122122121120122119120116119116118122123123115116122124119119122120119122121119114109110119113115115119116130117135118115114114116117114123121123126125120121127124128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170170168164168173174177179178180180180181182182183183182184185186185186185185184999999999999999999171171171172172171171169169169167166164163162161161160161161161161160158156156155154154153153154155157159158159160160160160160160158157157158157158157158157156156153153151151151151147144139133134136136137136138137136135132130127124122120118119122125127126127122120120117106101 87 85 80 79 78 77 79 76 81 84 79 83 86 85 86 89 91 91 94 93 90 91 88 94 97100103108110115119120120121123119118119120121120120119121121121122122127121120122124124123124126128130131131135132133133132134135135139142138135134134133133137135140134142140136134136130130128135133134137136136136133133133133128127131141140136138141131142134132132123126126135135136128127128133134130135133131132132134133134134133133130133129127133128135132129130126132129128127129131132133134133135134133133130134128132127129134129129128124127124122123124122123123121124123124125125126129124127123127128129125125122123121119119120116118120121119119120119120118118123121119121121121120119121121119118121121120121124122121123117119119123124121124121121120123116117112115120118120125127128111114120116115125127131118116119118120118118119117113122121125122123124125120127125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170166165166168166169176177178180182182183182183185185185184184185186187187188187186182999999999999999999999169168170171171169168167167166166165164163162163163162163163163161161160159158157157157157156157158158159160162160159158157157157157157157157156156155154152150150147145143141147145141135133134136137137136135134137135135133132128126126126125127129129127130123119122117106 98 87 85 82 80 81 79 74 77 82 88 82 82 90 95 96 96 98101 99101 99 98 98 99103107110114115118118120121123122121121127122123123122122123122122122122123121124124124125124126128129128127128133134135135135141142139140138136140135134134134134136141140140138140139140137132132136135137137136138139139135138136131137132133132138137141130131141129130129130127124128129129129133134136131138135137133139135134134132133132132132132134136130132126129127132127128129128129135134133131132130131131132132130129127126123126128126126123121124123122120121121124125123125121122125124126125132125126126127126124125124121121120120116119119116117119119117120117119120120121123121124122123121121120119119123120121120122122121120121122125124122126121125124125117120118113115119116123124113114113114116115117119118126118118120116119119119120121120119120122117120120121125128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164165166170169165169178181182184186183185185185185185186186186187188188189189189188187999999999999999999999999167166169170168167168167168167165166165165164163163163163164163163162161160159159159159159160160160160161162161159157155154154153154154154154154151147146144140138143140139142142135131133135135136137138137137138137137136138134134132132133132129130130128124122121119110105 97 85 84 84 82 80 78 71 71 79 82 90 96 94 95 96102 98 97 99 99102105107110114115117117119119121122123123122122125125125124124125124125124124124124124126126126127128129131130134134132133136136137140141137140139140142142141138137137138139139136139140142142142143136136136135141135136139139137142141140141131132135133133135134131133133133128128129128124131127129134138133138134136138129132140136131133134134133133134139131132131130129128127128130131131132133136130130134127136133127135132130130130129123125128131126125126123127121118123120121124124123128122123126128128124127124125130124127124123122124124122124120119119120120119119119121121121117118121121124119122123122123124124124122123119117117113120119119124126124125125123125117120118120115118119121123118122113113118116116119116115127122124120114118123116122124124120118119123121121124121122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167171167168171172169171178179180181183183185187187187186187188189188189189189190190190188999999999999999999999999999166165168169168167167168167167166166165165165164163163163165165164163162160160161161161161161161161162162160157155154151151151153153153152151146142136133129127132130135131131133131131136137137135135136136136136136139139139137135135135133130130129129129122120116112105103 92 87 93 94 90999 97 92 89 88 91 94 97 97 98103106103106104107112112113115117120119119122123124124125125126126126124124124124125125126125125124125128127127128129133133133134136131129133133135142141139140142143142143143140139140140139141143141139141146145146139139129132144144138138138145144143144137142145133134133135134133131134125128122126125124125124127133135134140139138141131135139133134133133136132133134132134135132135132130133136136138129128133135133134134134134131133125129134131128126124129125131130122129123125127124122126124122122127121124125123127128126124126125127126125124124123126122121125121120123123123119119119119118119122120120124123124125127128125126125124122120119119120119117123119123125127122126122123116119125112120119125122124123122115117118116117118120123131134131125126124115119120120125120121120123122121125120125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170169169169171174176172175180181182182182183186187186187188189189190190190190191191191191189999999999999999999999999999999165166169167165165165167166166167166164164164163163163165165165164163163162162162162163162163163163162160160156156153152152153153153151146140138136135132128127130126125126127130133134135135134133133132133130130132133136136135134132130132132130128128124118111109107101100 92 99 98 90 96100 98 91 95 98 97100100101101109109112109109107108112117118120121122123124125125126126125125124124123123123123124124125125126126131131129131134133134135138142134132131135136140142141142143142145143139142140140141141141142142142141138145148145143142140144148141143145142135138136137140154132134135138133131130138135128126125131132127128137133133128133135135139138131132132133132133137133133133135135138141136134136138137140141135135138132136134130132132129127126134125128127128129129128120132125126121121125124123124129123124124125125128127127129128126127124125126127126124122126124124126126125125123122121123121122122120123123126124123126127126127125125124120125118121120120121121120126125125124122124124120120122120123122123122122122118119121118119121117119121122121121118122127120115122122126127119121120121118122123120125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172167169171175178180176177182182183184184186186186188189189189190190191192192191191190190189189999999999999999999999999999999166168166165165165166165166167166165163162162162162163164165166166166164164163162164163164163164163163159157155154154153154153151148145143142139137139135129129127128126129131133133133133135132130127124122120122120124126130131133132132131130131123117106110 99100104 99 97102100 96102 95 95 92 97 99102106104107111112112109109108113113115117120121122122123123124124125124125124125124123121122123124126127128129130133135135132135135137136135140140138141142141141145143144145144145140140141140141141141142149148147145144145146143143138139147148153150146141142146144138141134137141139142142132136137138135135132130131131142144140129131131137141146139131133141142142139146150137135137136137136136136134134139138138135128130132135132130132127130129127128124127123124122126124120124129123121120120119123126123121124122125126130127124126126126128127127127124125128126128127126124125123124126126125125123122130126132124126125125125125128128127126125121122120119120121121122121123124121122122122121121124122123126126122123124123122124126115116117118118118117118120118115123119134122123119117118121123120119119119127129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175174166169167169174178179181177178184187188189189189188188189188188189189190191192192192191191191189184999999999999999999999999999999164165165164163163163162165167167165162161162162163164164165166165165165164164163163164164163164164162159157156157156155155153151147146145143146145145146138130131129128129130131132131130129124121120130126119119117117122121124126127128128130127123116121100102 98 98103 98999 92 93 99 98109 96100 95100105107109109112109112105103107110112115118121121121121122124123125125124123124123124123123125127127129130132137134134134133139139138138137139142143144145145144145148149148145146147146146142144145140138148147147145144144146145146140145144154151148143142145147148144142145146149143142132129143135138137136133140132135136139137136136131130138136137136147146131143144138144139135136138135142137134137135136133137134134133132128129128129128127127129128126124124121126131124124126127117120119121118125121123123123123125124129125127128129126131127127129128128127125125130127125124125126127125127128123120121122125125126125125127127128128126124125124122121119120122121122123123124123123126126126127126122125123127126125132127126126125118122126116114121118117117120121123120114116115116119122119120118119118118126121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170174169169169170173173177179185182184187190190191190190191190190189190191191191192193193192191191191190999999999999999999999999999999999161163163163161161160161165167166165164162162163163164165165165164164165164164163163164164163162162162162159158158158156155152148145142144144145145150150147138129128128129130129128126126120119122123119117114116116114115115118120122124127129128124113106 95 99 99 92105999106 92 91 96100101102100100103108107109107107110109108103101107110115118119120120120120123126127125123123123123125127125127129129131133136140135134133134139138138137137138140144145145145146148144149147143149148144143143143143137142146150149143143147148148146145149149148146147148144143146151148150144144146141138133136141138138143133130136136135137135134136134136139139138138137140139140142137140140142138143140136137136138131132136134131132131132132133131130128132125128129126130125127126123127127127123126116125125121118120121122123123124124124127129129130135131131129126128130130130129125127126125125129129128127124126125126125123126125124125126126126125127125125126124122120121122123123123123121122123122124127126127127121127120121124124123123124124125128127128118126124123120121120119120121117116117115117119115117123120120121121124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168169170170171174174174181179182181183188190190193192191191191191190191192192192193193193192191191190189999999999999999999999999999999999999160161161161161158161167168167166165164164163164165165164164164163163163164163162163162162163162162161161160159158156155151147149147148144147149153153152147138128127130128125122123121117122127126115113116116113113113111114118120123125127127122108103 97107106104109 97102 90 91 95 99100102105102107106103100102109111113108103100105107112115118120121121122126127128125124123125126128130131132133131132136137136136137135136135133135139142142141142147147150145147147143146144145142145148148145139139142146144146148150152149149148150149147148149148145148147150153144144145147148146148137137136135137137137133137137136138135133135136136141140140142142142143138141142144144137146137142144136139140133132137137132131133133130130129133133129131122137134124130136132131130126125124123120128129122125121125125122122123126124127124127128127130128131127127128126128130126128127124126128129129126127127127126125125127128129129130127128128127123124126123124122123127125126125122121121120125126125125128125127128128125128126125126127122126127125123124127126124125124123122120119133133114120120121118118120121123127124117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167162170172173178178178181179180183181182187190190192192192193192193194193192193193192193193192192195194999999999999999999999999999999999999999169999999160161158162167168168167166166165165165165165164164163162163164163161160160159159157157158159160161160159157154152149148150152152151153155156154153149143131129124122120122120120126133129119117115117118107110111114115117116121124125117108111 99105112104108 97 92 94 91 93100105104104102106107106103106108114113110106108123113114117118119120123123126126126125125127129131132133135135134134135137136137138137137137136135138137141143143143148147150146146146146147139143149149148148145143139146149148148148145145148146150147148148150149147148147151152153152149152149148146144141140142137143135136137137138137138139137136140141142143145146142143140139140143144149143143141139148139140146136140135129128130132134128126127128132132129129128129128127129134127121128130129130124128125123123121120119121125126127127127126126127127127128129129129129128132129128128128129128124127127129128128128130127136133129130132131129130131131128124125123125124125127125125125123123122122122125125124125129128129130127126125122123125127127127125125125126130129121120119119119118124120119120120118118117122120122120121120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164164171177178182182180178181181183178180186189191194193193192191196194194194193194193194193193192191190999999999999999999177180180999999999999999999999157160159161166168167167167166166165165165166165165163163162161160161161159158157156156155156157158160160160157154153155153155156155156158156155155151148145139131129128126124125128135131119115110117117111110113112111113114120124122121112104104105101110 96 97102103 97107105108109109108108107108110111112113111111107110116115117118119120123122124127126127127130132132133133134136136137136136137138138138137138137138137137140144142142144143146148146146146144141150147144141148145145144148146148149148145147147147147152152151150150151151148150154153151149151154150148149146143143143138138137134138135132134137136140141141142139144145146147146144143141141138145141140147141145141136136136130129130133129130137140127128131131135130130128129129129125129133126128128130130130132126123125128124121124122125127131125128126126126127126127129128129129128125128129128128127127128128128129128130131130134131129130131128129131130128129129129125125125123122122123123123119119122124125124122124125125125125124125121120125124128128125123125126124124122122120118118120117122123123119120121118117116118113115118121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162165164171173181183180180179180182184179180187189191196195195195196199198200199200200199195194194194193999999999999999999176175177178177176177177176999999156158158161166167166166167167167166165166165166163163161160162161160160160158157158158159158158157157159160159158157157156156156155155156155152150151151149148144144142140137136134138134132115115113110111110111110117111120114118114115119113113104 95 99101104105101103104110113112108110111109111113116116115114111114114113117120121122123125126126126128128130132133133133134136137137137137138138139139138139138140139138140145145144144146146146146148149150147145145145145147146148147149146148149149149147149148148148150154152146147150151154150150151151151151149149151153154149145141137142141139138136142140137137139143142140144144142145147147144143146142142141139141141139141142138138132131131132135136130134134133131129130133137128130128125126128130127127127123130125133130131128130122124126122122123124125126125126125129130128128131127130128133129129128126127128129129126128129129128128130130131126130131130130130133133129128128128127126125126121120124128129121122122122122121123125126127126125125122128130124132129127127126126126125123123123122122122119121122126120120120122122119117117120123118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177163165169172174179180181181181181183184180181186191193194195196198200206206207204205204202201199196195193999999999999999999176177176176176176176176176999999999159158160164167166166166167168167166164165164161160160162163162161160160158157158158157157156156156155157160161159157157157156156158157156150146146148150151149148148147145141147134129137126113113111112109110108117105103106114116121117111108102 94103108104 99106106110110113113114113113116111110116120118116115116117121123125125125125127126127127128130131132134134137135136138137137137137137138139138139139140139140144146145146143145146146145146144145144145145143144147147144148149147150148146147150151153153151152152149148149151150151155153155152152152150150152153152153145145146144141137136136136138135134137136143140139139143144145144145143150142152146141138138139139138138137132138131130129123123126127129130128127127128132133128128130129130125128131127132132131128132123130123122122127120121122125126126125125129126127127130127127128128129129129127127128128130127129130128129131131134133131127127126129131129131131128129128128129128125125123125129124121121119118120122123124124126125126133125125125126129131128128130128128124124125128122122128127129130126120122121125122124125123123122126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174172166166172177180181182183183185184184181182187192193195196197202202202202203202203202202201199197195193190999999999999174174176176175176175175176176176999999155158159163165166167167168167167167165165163160160162163163162161161160156157157154150149149152152153153157160162159159157157159158159155151148146146148150149147145145147150150142138134136126113111109105108102 99 89104104112115115114106106101106111116115114113112112109110111110113117117114114115119117117117117119122125127127127126126127129128130131133133135136136136137137137137137136138140138138139139139141142142146146148147147147144147147143142144140142145146144148147148152148149151151149153151154153151156155154155159153152153152157156154152153151150154152153151148145146145142145141141141138136135135143144146146150146143145148144147150147150141149141142136134134137136130133139139131127134129127130131126131129128126136134130131131121133134131130134126134129128124124123123122121124123123125128129126125126126129129127127130128129130130130130129129128130131131130130131132131132132132131131138130131124131130129132133132127127123126123125128126122122121122123123124126126128129131133132134128131131129135132131128129131126128128126125130131129127124119120122124123123123121122123126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173171170166167172178180180182183184186186185182184190192195195200200201201201201202201202202201201199198195193190999999999999176169171173174175175176176175174999156159157160163165167166167167166167166165164163161161162161161161161161159156157156151150149147148150151153153158159161162159159160159159159157151145140140141140138135136139143148132143138128128118117104107103 99 96 99105108113118116107112122110110111121120122121121117120118120120118118117115118115115116116116116122126127127127128128128129128131133133134135136136135136136137137138138139140140140139139140141143143144144147149147147145144145148143141143145143147146144144148151147149147148149151153153150152151150154150151152154157156157157158158155160158156159157157154145143148148146150145144143141139141145145145147148143143150151148148153146150150137140138137133133132133134133130134133133134135130129128127129128133130136132130128128126122131132131134127124132120122121125130122122127123122127127125126127125128127128127126126128128129132131130130131133130136135131130132131131130134132133130135134135130130130130131130134127128126124127128126125124122122123122123122125126126131133131132133135134132134132133132132129134127128127128129127127130129128120121123120124124123123126126124127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171169167165168172177181181182184184184186186184185190192194199201200203204201201199200201199200201200199195191188999999999999171169172174174175175176176175175165158156157160164168168167166166165164165164164163162162161160160161161161157156157154152149145143145146150152152159160161162161159159158159159157152142138138138138135132129129136143139129124114120114116999999999113107100108112112113108110114118120122125128132133134131128123120122127124124122120117116115117113116118124126128128127129130130131133132134135136137137138137136137137138138139140140141141143142142142144145145148149151152151150147149144150150150150149145145146147151153153156155153151152151151151152154152153154154158159156158159157161160158160157160160159159156157151150146149152151144145145147146148148152148145151150148147148149147143132135137138141138138137134134135131130130131133133130130128129129130129128131133132130132136132131125130131127125131125122129126123122124124129139123120125125126128127128127125125125124131131130127130133132132133136136138133136132132132130130133138133135133136133129133130131129131128128125127127128127123122123122123121122123125126126131131134135137134137134133132130132127129128129129128129129130131131124130131130128124124122123124124125124126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170166166167168163166176177181182183184185186185187186185192195199201201200205203201197198201200199200199198197195191188999999999171168170175176177177176176176175174167158156157161166168168166166166166165163163163163162163162161161161161159158156156154152149144140143145149153153158160162161162159159159159157156148139140141141138134131128127140139126120109108104999999999103108116107116108115110115115115122123126128131136140139134126120114111116111116107117123125120118118119115120125129131131131130131134133134135136137138138138139139139139140140140141141143142145145144145146147147147148151152153150151149151151150151150150147146146145148152149150153154154154153150151151152155153156157160155160159162163161162162165163163164161159160159162156154153152150151152148148148149148150147143148147146146151146152145143137138138138137138138139135133136134135130130130127130129129129127131131136132133130131129131135130126129128130128130127128135130129126128128126125121128122124127125127128131127125128126131132128128138134133138137134140134140140132132130130130135135135132135136130127126128129129127129130128127128129125125127127121120125125123125126127126132137133132136135130130133136137131131129135130126128128130132131130132132132126124129125126124124126127126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170169170170170166165168177180180182183185186186187188186187193197199202200203205205201199201199199198198198196196196192189186999168169169172176178178178177176176175171167159158158160167167167166166167168167166164164163163163162162161160160159156154155155152152145144145148150154154157161164163162159158158157156155151141142143141135131125132136139137131120114125999999999100107113105104110107113109111112120122125131131134144144138130127120117126118113112117117112126122118119117113122124127131133133134134135136136136139139140141139141144142141140141141142142145145146147146147150150150151151151152151149150149150150151152150147147147145148149153152151153156154153150151152151154156157159162160156161161161162162162162162163164165166165163162162160160154151154152152152152150149149149146145144142148144147151149148146142137138136136138138140134134136134134131128129127132135131130132130134132131131130131132133137132135129127132127126124130129127128128128127131129127126125125126123129128128132128129130129129130135138137132137135139138140136135137136137135136132133133130138134132130127131129128127131129128127129124126126126127124123125124128127126127130128137133140136132129134133130132133131128133128135129129130131128125131130124126131128128124127127124127127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166170171171171172174172172178180181183184186187186188189187189194195197198201204206206203202201199198198198197196196195194192188178168164166173175177177177177176175171166161162162160158163167167167167167167168168168168166166164164163162160159157155154156155155153150149150147151153154158162162161160159157158157157155149144146142135127124121128136135136130124999999999999128122116101 97104108110112114114118121122126138136141149148139133130124123120120114117121117118118126122121120119122125129134135137137139137138139140139141143144144145144144142142143141142143144147148149150151152151151151151151149150152151150150149149150150149150150151153154152151153152154155150151153154158158161157160159158159162162163163162162163162161163162164164167166161158161160154153154152151152151149148146145146148150150147146151148147146143140139137137137140135134132133132132137132127126129129129135135133130130130133136133132132136132133129128131131127132133125133135131128131131129133127125125127129124123126127126126128133130134135137136132133133136137135135134137138137135137134132131138139132128129133130129127130131131132128132130133125124125125129128126127128128128129133134133137135131131134131128135136135133131133132130128132129127127126121121126129129126126125126122121124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176168171171172175177178176176182182182183185187187187188189187189193194197200203206207206205204203201199199198198198197195193193193189183183170171175176177176175175172169164161163161161160163166167167167168169168168167167167166166164162160158158158155154155154156153152150150150152155158160162161161161162161160157153153149150151149141125122125127127125126121999999999122122134128130102102104113117121121124127131132135146144147154153148140137131137127126117124126121125115126123122121122126130134134137138139140140141141141140143143144145145145145144146141143147146148150152153153153152152152150153153149147153154153153150151151151152153147153154155152153153150151151153152155156161156159159160160160161162163164163162161161160161162163166166167166166162161159158159158157155153153151150153146149150150146150149148149147146144141140141139137135138138139134134131132133130128129136129132128128129130132134131134135132135138137125127128128126123131122127133125127131129128126130128132123125128128127124123125129132131134136135131135136138132149137134143145138137142147142138133130130131135134129134131132132130132134134131131129125128127123125122127128128134129128133127136138134131130128131129130130131132131133138129126126130128126125126127127130127127127127133126125128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169172171173175178181181179178180183184184186187187188189190191188190193196200204205205206207207204203201200198198198198198195194194193192189187183170170174175175174174172172170169167162163161164166166167168168169168167167166166165164161160159157157156156154154156156156155155154156157158160161162160161163162160159159156154152152153151147133126118118129126131999999138132128138132135119102105111118123127129131133139145153154155155156156152142141136129135135133133135123131122128125123123125126132136138139142143142144145147146145144144145143145146147147147145150152151156156154154154155152157154152150152154152150154151154151154154152154152153157156157154156156158153153153152154157156157156158163162163167165166163163163163161162163165163164167166165165162163164159160158157154153155154152152152152149150147149150151148149147146141140137136142135140142135134132131136134131132131131129131131135129130130136133136135136132130133133124127127128124124129129130130129131129127126128128127123125126124120121129125127126128136134133138134134133135135136137141143137140134132134133136136133134138143134135133133133135133136132133128129129132131126127125126131137138138131135135137139136136132138130133128133130131133133130126129127125127126130130130130130133127130133138136126130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166169173171172174178181182182181181182184184185185186188190190190191189191196199204205203203204204205205203200199198198197197200202202199196196192190188179172170174176176174173171169168165161162162164164164164168169169168167166166164163161160159158157158157156154156156157155156156157158157160161163163160162161158155156158158159156155152152999148137121111142117114116113119135111 96 99 97100109106111118118127130135139143149153154155156157159153148146143135135135131134134134128125128127123123125130135138137139141144144147149148148148147147147146146147149148148150153154155158156157157156156155157155153152153155154153150150150154155154153153153153158159155156154156154153158159155157158157159160160163163166166164165162162161160161162162163162164162162166164165166164164163161159156155159159157154153153155149153152152154146146147147143143139142140141142141141141135129130135136131130130133134137129132134129131139132136138132136132131131131126126125127126127130130129128126130133126127126125126126125128128124125131130128128132136136133135134134137137140138145135141136137141134135131137135134137129131131128138135136139133129134129127132132130131134138137127132139144139134133140141144142141134136133132132130131132132132129128126128128127134136130137136133135144137135132147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171169171171172174175179180181181182182179185186186186186187190188189192193194198200206206203202200200203203201199198196196197199202201201198999195195191188182169170174175174173172170171169168165164163164167167168168168168167166167166164161160159159159158158157156155154155156157156158158159160161164163163163161157154153153153155155158154999999999999141133119116113117109106121117107102 95103108110115114123127131139145146147149150153159161162159156153149147143137136134130129132123129127126122123125131137139139142143145146147150152151150149150150150147147147151153154155155157157159159160160156159158159154153154154154153155156157157158156156157153159155158158157159159159159158160158159160161161161163165165167166164163162163161159161162162162161163162163162163165166167165165164163151159156158152154153153153153155155153155147146147148142148146138140142143142138137135133140138133131131132137135131128133132130131134134135134142133135135131133132131132129130129133132127130129132129130131126128130126126126134130127129128136132132134133134134134135136139148146141145140136138139140138130134135136138136137142139133134135134132133133127130132134131136136135131130132146146139134135141140141140138136135136138136130131131131137132129130128129133134133134134138135135138139139137144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182175170173169173174175178179181181182181181185186186186186187190188190191191193198200206208205203201199199201201200999195196196201206204999999999999999190189186182168170172172170169170170169168167166166166168168168168166167166166166165163163160158158158160160159159156154154155158157158160161161162162161160160159154153155999150152155157153999999999131136126112112120109107103101 98109103101112112117118123132143148153151149150148150158158159158156154152151151149148143139135135137126128128125125125129134139139141142144146147149152154153152152154155153153152151151153154156156156157159162161160157157158157158158160159157160155161160158160159162161160158155159159160161158160160160161159160163162164165163162162164163163163165162161160161161161160162161162163163162164166166166165165164159158159159156154154154155151153154151153146146147149147150143142148147143145144145141138146140132135135130130131129130131135135136133134141137138137137139137137134134129127130130128132131128130128131130131129128128125126126130133133128126134130133134129139134134135136139139146144137139143138138137143141137137137147136137140136137140139141135134143133134134133138138142143139136144140140136134137142139148147141140144138147130131136132137137133132128142139135138137136135142142141145136138140142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171177177170177173169172176179181182182182181180181185186186186185185187187189191188192199203210212206207207205203202201197197196999197204206999999999999999999999190189186176163167168168168168167166167168167166166168169169169167167166166167166165166163160157158160162160158157155154156158159159159159160160161159158156154152154154999999999999999999127131133131128115113113103108100108104101112111110113115119129137146140144158153151151154160161161160157152150153154154152150151148144141137136127126122123127129135138137138140144146147148150152154154154154154155154154154155156155156157159161161163162159158160157158159162159162159163159159160161161162161159159162157160164162158157157162158160161165164162164162167168166167165164161162165163160163160159161163163163161161159161163161163160159160156157158158157155152154154153153151151151146148150150148147147148145144140144146145140142141140139138133134135132132133133138136141139135141137138139138138137136137135135132131132133135125131133131132130134132129129128132128129130131129133133135131132130131134135140138143138143150142144149151137138140138139141136136135136137137140146138141138144138136135134135141141145143143144144138136138150148145144144145142140140142136140141134139141140138136149148144141141138134130139135143137142145145144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169168173177177177174171175178178180180180181183179180181185185185186185185186186189186191198201206208210215210210210210206201200200999202205208999999999999999999999999189188184172161162165166166165164165166168168167167169169168168167167167168166167167164161159157158160159158158159157156156157157158158156156156153152152153153999999999999999124125124126129131128125122120111107101100102100112114117114115119125134139146153159161159158158161161161164164164159156157158156155153150153153148143136131131130130127134136138138140137138143147146149150153155156154155155155157157158159159159159160162161163161160163161158160161158162160161161162162162161162161165168170167162162165164160162163161158163162158164162157158159162167168165160162162161162161161161165162161162165163161158160163163162162161159154153152152153150149152152151153152150149151151151152150145144149151148145145146149145146141142142141139139136136136135138138140138139137138137139139138136139137136138138137137137138138136133133136136134132131129130128127127133135133132134133135134132134134134139134137141137142144141145149151140142140141140140143144136141137138137139140143139142138129138134137138138148154150160158157152152147147156158154153148149146144142144154138143137137145146144142142143146143133134140137144141147145146146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174169172174174173174170173175179179180181181180180179180180184184183184185184184186187185189197199205209215214211212212210208207203201201202204208204999999999999999999999999191190184173159163163165164163163164166167167167168169168167168169168167167167166165162158153156157158157159163163161157156157156155154152153153151148999999999999999999126123123125126129129129128123116107102 99 99123100114122116119117126131131136143153157157157156157156158159162163163160155157160158155156153153155153152147140136131130132133136135138139139139141143145146148150156157157156158158159159160162162161162164164165162164159161159161159161160155161160162162160161162163164165167169172169170169166165162163162163158162161161159162164159164166168166160160163159161162159160161164163163166157161161160163165162160162164160155157156153151153153154153154157153147151152151151151149149150149149146149147146142143149147146147143141139143141143140141145139142143141141138136137139138137137136137137137139140138139140136138136137131130138128137131130138136139134133136134134135140136140138139143146140142143151148152152144150142146146144140140140142144142145139139144143144147143144161148151146148149148145150149151162141144153152148153154151152147146148146142140139147140140138137135136132138144141143140146145147146141152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168168176178177176176174174178179179181181182182181179180180182183183183183184185184187188190200202209212213209210212211213213213210205204203204206209999999999999999999999999999188189184174159162162163163162165166166165165166168168168169169168168167167167165163158156152153157164163169171170165159155155152147147152155156151999999135999134135135133129129131131134134129119109107103104104128111115116119118123122124133139147150153156156155155155156157161163161160160160161157155155154155153152153152152147140136135135135134137139140139139139141145146148154155156158159160160160161162163164165166167168167165164162161163159159160157161165165165164163159165165164169172172170171169167167170169165169164162161161157161164162165170167164163159160158163163163165164160158165159160159159154160163160158164161161157156157154159153159155151152156153150150147150150143143151149150145148150152153152150148147147149146143144144146146144145142141144144144142139137139140138143142142140138142143144145142139142139140136135142143143136137139136133137136132133142142138140145149140143143146141142140148149145145149150146147148143140146141136141147146143144145144145145148151159159160149156164148149150151157155147149148154150144150150149147148147141139141141143139141138138138137137139139143144140135138141142141147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170168171171176178177177176175176176179180181182184184183178179179181183184185184184185185187186189196202207209210207207209210212213217215212207204204205209211999999999999999999999999999188187183172159160161161163166165164161162162165165166167168168168168166166166162157152153157165169173174173174173166160159157151146145149999999999144137137141141137136133130133136137132124117130127132112106128106110110120122124129129143151154156156157156157157157159158158160160160161162160155155156155153152149150151152152149144137135134132135134136139139140142145147148153154156158160161161161163164165167168168169167167166166166167163162161158158163166166165164163166166167168168172173171173170171171172171170169165165166160162160162163162166169169166167165164164165164166164161163168166157160156155161160159159158152158157158159159154154156156153153155156152150147148148147147148148150149152154154156155153151152152147149150148149149145144146149146144146145142141139139140142143146144140143146146141143142145146145144140141141142143143147143143136134135135135148148150145143146145142142148148154150147148151153155153158157152143149141140143154150152145157141142147145150149158153153156164159154159158160155156154150152160153152151148150150147135150141138147139140139140145139144138140137140145140139135139145144143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176167168171173175178178178179179178177180180181184183186184179180181186187186187186186186187189186190199206212210206207206208209212213216216215214210206206210213999999999999999999999999999999187187184173164160162162165166164162162159159162164166166168168167165165164160158160164168170170174174173172173170166164159154151147999999999140142141145145144141137134135135135134131126116131122134136126109114114118123129136140144154154157156155156157158158158157158158158160160161163157157156155154152150146146149150152151150143136139134134133135140142142141144147145152151154156158159163165167166167169170170169167168167166165165165164164163160165168166167163168169168167170172173173173175176172174173173173173172169170168164162162162162164167168169162164166169168167168167168166163166163159155155160159164160163162162160159158157155160159155158155155156154155153149149149148148147152151153154154149156153153154151152149149149147149148150148149150144143144140145144143141141142146147148147146147144145147145149148149147149147147142145145141141146149151147139142139152151150151150144144151149150150152153150149154156165152152147143145154152152155158159149142157147167157149146151154157158151155158159156150154152162159159157152153152160156152151150147148145141143143149155145141138145150148144141139145141142147143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176175173168173175177178180182182182181181181182185187188187184184184188189188189190188190192193188192202207209210212210208208210210214214214214214214213212212214999999999999999999999999999999999186186185182169160160164165165164163163160161164165166165165165164164163162164167172172172171174174174173174173169164163158151999999133138140142142142145145142138133136136137134129115115122125134133138143129141148131134137146153158156157157157157157157157156156156157157158161163163155156155153151149148145146147149151151152148138139137134133137140141141145145146149152153155155156157162165165168169171170171170171170173169167167165162162162164166166170171164168168169171167172174170170175172168171171173170167169168168169168162163161160160165167166167165166168168167165163165166166167168171167164159157156161162161164159160159156156156158157157157154154154155156154153153152150153153152152151151147155155153152153151151151150149147151150150151150148147148147147147147142141145145147147149149146147149150148156152148150149150152148150152147149154148155158148150147159159160157149154151144152144151154157155158165161157148148147154144150153158159146154149149156160160151150156159158157161158153155161160157166153156159162155156151151162152156154152149149149149148146146149143143150146149147147142140139152147143148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176177176172171173173178180182184185185185183182184183185186187186187185191191191191189190192193196191196204207209210213213212211211213215214213215214215214214212215999999999999999999999999999999999999186188187182180173162164165166163165161166166166166166166164162162166168173176175176176174175177175175175173169167159153999999143142141142141142144144143143140137137136136132129130132130131142136138147144146139141147149152154161157156156156158156156156156156157158158157160163163157157155154150148147146146148150150152153149144145139136138140142142144146147147150154155156157159164167167170170171172172172172173171171169169167164161163163165165161165167166169168171169169172175174169177174172173173170169169168165167169169167166164163161162161165163169167166166167166164163164166166171169167167163160158156157164159159159161158158155157158157153153154154153155153153152154153152154151150150151152153154153153153152153150147146148147145146150151151146145148148144142142146146146146146148148145153151152151157152155154150153158156157157158164162154163163159156166156162161160163155154154155157158156162165163154153158150150148147156154157160159158157157158158157158152150158159163164168169167168169159158156154164164157154156154161155154147148151146146150153152153149151143145145145147149155146147155143142142148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173171170169172171171172175176180181184185185185185185186183183186188188188186193192193193194195196197202195200207208209211212212214215215215215214213213214215214213213215999999999999999999999999999999999999999999187185185180170167166170166163160166166166166168168166164166172175173176175176175176175999999175173170166166151999138140144147146143142142143143142144143140137134126126130130138141138138141141140140139139139144150155158157154154154153153156156157157157158159158159161164161157157155151149148147147147147149151153152147145141139140142143142145147149151154156157159161164166166168169169170172171169167169171172171170171168170165165168166162165165165168166167171168172171170170171171173175173169171172173168170169167171170167167164162160159162166167164165168164169166169164169168170170169162164157154155154158158160163160159157155159160156156157157155154156156153155153154154154153152150151150154153150151151151152148151148150149146147146150149147142138142149146145146146145146153155150149156158155151152149149156163151159161162161166170169166166161153154162161153163170168167166157156157153161170165175158153153160159151149156157152151154159151158158155160163157162164163164170163168166164162161157157155161154155153159157154153151152153153149149151152158153156153149142143154155159152146147148140141148132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174174173175174174174172174175176179184185186187187187187187186187185187189191189188192193194194194194199200205210207207207209208210211213217220217215214213213213213214214215999999999999999999999999999999999999999999999999999186186184179177170165162162163164163165167169169170174177177175178178178176176999999999999999165166164144142144145145145146145144145146145145145143139129124122121126132144138141142141138138139141147146142146150154152153151152153153153154155157159162159159159163163161157157157152150147147147147150151153153151147141140141142143144147149151153155156159160163166167167165167168168169166169169168168170170170168172170171163166170166164167168165167168169171172171170173172172175173175173174174173174175171170173171171168164164161161161163163164164164164164167164168165169165167170166164162161158156157156157158161163161159157162161161160159157157158158157158157153154151149153153151150150151149151151149149148149149148149150149149150149148148148146146148145143144144146148148155151153153159157156153154149156162156155155164169170168168163167164157164172165163165171169168166161163160164164162165178174155156155160151152159161160157157156153163158152157160159161165165165166164162163163162162167165163156157154162156155154151148152155151147151153144143141143142140145143147151152148147147150149147152132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171173174174174175175175176177177179183186187189190189187188188187189187188190192190190194193194192193194200204206210207205207210211211212213215216216216214213214213214214215214999999999999999999999999999999999999999999999999999999999184189183181177173173171168171171169170172175176174999179178179179179999999999999161163165167164151138140142142142145145144146146146149140135130123120122126127130134140138141139137138137137138141140137149153152151149152155153153155155157158158159161160163166161157157156154151149148148150150152152151150146145143143142144148150152154155158161163165165166163166164164165168168165169170169171172171171171170172173171165166168167167166166167170171171172173174173172175177175177178169173175178177172171173169172173166164160160163164162164167164169167165169169171169171166165166167169168163162162159158158158161161161161163163159158157153153157155153156158157159155151156152149152148150149153149148151150148148150150147147148149151149148148150149155148145145151151157153154152155158160156157157165160162166161163165169167172168168167169167168175173175173175171169167168161166174173168163163172167156157158151152162163162155159160161160158159157159159169162166167168168168166164164167170167162161160161161151143144149152159149146149143149145143152156142141148148144148147147147151158151151145151154 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167173174174174175176176177178181181190190189189191190189188187188188188189191191190190190195196196194195196198206209211206207210213212213213213214215217216214213214214214214216215999999999999999999999999999999999999999999999999999999999999999182182183182181179178177176175180182182999999179179180179180999999166164163161160160163165159145137138140141143142144148151150142133124124122126125128135134139138139137138135138142142140140139140143146148147152153154156155155154156158160160161160164166162157157156156154153151152151152152151149148145144144144145149151153154157160163164163164165165165165165165170172171172174174173174171174172170170169172171165163167166167167170172172172173175172176176176175175175175181175175179177176173175174175173174167169167169171165167165166165169166167173175171170174167168165169169167168164166165160158156161162163162163163159156155156155156156158157155153152153156154153149151147148152147151150152150147149149149148149147149150149145149149148151148146146153156152151152160160155158158160160160164165163161164162172169175170168174174170173174171168176172165165169175174178177177177167166169167154164168162154151160163162155160159155160160159170170169165164165168168162165164169167165162159161156158162153146149148155154152155144145158148150149148146146153147146148150152149152160159155154149157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168171175175175175176177178182184185185189189190190190189189189189189189189189190190191191191193197198196196198200208209202209209212214214214215215214215216216214215213213214215215214999999999999999999999999999999999999999999999999999999999999999999999999999999181181181181182181182999999177178179178178174999170169166163161160160160161161152141139142144143139144150151147146133129131129124129126126136140139136133139145153155155155156153154151149151155156155156156156158157159159160159162161166166160157155155155155153153154154152151149147146145146147149151153153155160163164164164164164165165164164165167170171173175175174175175176177177170171173174174173171171172169169175175174175175175173174179181179178178180172173174177177176177175174173173172169167166168169167168169168170169172168172169172171173169165167165164166165167166165167156166158157161159161161161158157157156155157153153151152154157153154156155150152155151148150152151151152153152152152149146151151149144149149148147149147154161160149154159160162157156157161162165170170169164163171171169169171174170170171172173171173174174170173170171174175175174171169169165165169169166150151150163163162158159150155162158161165162167169160165159159167167176169171163162148155160160161154150157155152150151151139143151144140148149144151160153150151154149151152156157155159154162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171167172174175177178179179181184186188189190190191191191191190190191191190193193194196194193192196198198199198203203209212215210211214215215217217216215215215215215215214213214214214213999999999999999999999999999999999999999999999999999999999999999999999999999999999186185185185999999999999182179179178999999175175170167165161158156158160159154148142145147143139148150147141136139145145146137122124122136137132136142153155158159160158158160158156157158158157157161162163164164164164160162163162166167162156155155154154155155154154152151149147149147144147148153155160164166167166165165165165164164164165169173175175176178178177178174174178179175174176177177177174173175175172176175176176178173173180182179178178176177180178175177182178175176176174173175173171169168168168168172171171173168171174169171168166167162161163164161162165165160158154158164163164162162162161156157155156155158155155155155159160158153156153153157155156154151151150151152156156155155153150151150150146148148148145142157159166150152159161155161171158157158169168172174166166166168167166168168171174173170167168169173170165165169166165168172171169170173168167165168172166156155157157157156159159157156164162168168168167167167165163169170171176173169168164159158159159157156158146148147148154162155156156148151152152160156158157155156156158158157147167160163151168 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175169170173176177181183184186187189191193194193192192192193192191191192194195196199201200201198198201201203205207208214213216212213215216216217218216216215215216215214214214216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182181179176999182177177177174172169166157149149999999156148147152151144144151149143135134142144145141133149139140143144145147154159158160161160161160162162163164161160160163165163164168168170170167166163162168171165159155154154154154154154153152151148148148150148148152157162165166166166164165164165166166167168167170175178179181182182180179179180180179181180181180175178177175176177174174177176177179180182182183176178180180178179179180178177176177177175176175174174172170170169169168171170171171167173168173174173170169168164164164160163162167164163163162167165159156160162160160162161161155157158159159156157155156155157153154154159155153153155156151152153152153153153151154149152154145148151153151148150156152159155158158156157162165176173176170165169167166165168169175172169168171167169169170171171173168173166168169167168170168175169170168171170166164160156155154155156157161161166167162164167168165166167163173171166172170165164162161160158157157157153150154159155156167152148149156159156161165156157163163160160158160156159156160156158161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175173173176181184185184187186187188191192193195194192193193192193194197198196199203205207208209209208210210212212212214212213214216215216217217217217217216216216215214215214213999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182182178999999178176177178177177176172163154999999152152150154155151147151151148144141138144144147149150144144155154153150157160159159161161161161159163162169167162161161163164164165170172173172170166164163167171167160156155153154154151152151150150151152151152151155160163165166164163165166167168168168167169173178182182179181184184181183182181179181182181183183182179183181180179178178178178180180186186184184182184181177183182177182178180178177178177175177176176177174173171166170170171172172171169172171173172172167168170168166161161160166163163164164167168165163160163163160161162163163158160162163159159154157153154156154156155155155155154152154152152153156155153151151152153152153157153150151150150152155161157157158162164162161164166169163163179177173166164164169171168169170166165171172170171176176171171173173168169170170171175170169166168165158160155152150159161162160162165163165165160164166169169168166169171171171169166165163162163160153155164159154152153151149144152154159158152156163163158157164164163163162160160158159157157157159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178176176176175175178182185187187190191190191192193193194194195195194195197199200200199200203206209212214215216216216216216217218217217217218216216217217218218218218217216215215216216215999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179173177176173175175175174174173167160155155154152151152155154151153156154149148144149148148151152153153153157159159160161162161163163163164162165166162166163161158161164167166165167170170170168166165165167170171170165156153155154152150150152153153153152153156160164166168165164165165168169170170167169173176178183185185187189188189187188187183185185184180180183181183184185185185184184184186181171188187185187183177183182180180180180184180178177178177180178177174175175167168168167171171175175174175175175172171169169170168165166164163167167166167169170169166166165161163162165164163162159164159157161160161154153155157156154155155156155157155158153153151156153153152149153152152155158154153157155163160159157162158160173166169168168168169175169173176176176171173172170171172167165170171174169174174171171174171171167169168172175177175168167169166160155156153153155161162164163165164161166164166169166169164165170173174176173178171171165162162160149147162155154152151142147153154157158156155161165164165165164164168166164163167165162161158159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179179178178177178181184186189190190193194193195195195195194197198199200200200201202203204205209212216216216217217217218218219219219218218218218219218218218219219219218217216217216217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178177178174170164168165165159157155154154154154156157158155154157159157156154154155157157159158160159159161161160162163163161164164168167162162162163162163160158162166169169167167168167167166165166167167169170170169164156155154154155157156153156154154156157159164167169169167167169170170172173171175177177181183187189191191192191191191191190191190187190187184186186182183186186184185184184177179185186184178183187183180183182180179182179178182179178179177177178176176176172171172172170173173173175177177173173168167169168167164164164165166163167165168167166169164162162159164163164161160163155159159160156158154159156156156157156156155154156157153156153152150157155150155154158153154154153157158160161163162159161162165165165169173174169174175171166170171166172168172173168167168168168173169170172173171172170170169169169175175176173170174175174161159157153156155155159160163160161167169166166171167166162172173170169172174173167170171167165163169155158154151150154151151155162159154162159160162164161163165166167164166167163165162159159170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174174178180179181182181185188188190191192191195196196196196197197201200201202202202204205205206207211215217218217218218219219219220220219218219220221221220222221219219219220219219219218218217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182182182179178170162158155154156154154154157160161162160156157158159161160160157158159159160161162161161162163163163163163163168173174171171168167165164161161166166169173172171171172171170169170168168168170171170171171170160158157157158158153156157159159162164166168170171169170170172171171174176180180180184185184189192192193195194193193192194192188191188188188185184184185188185184183183177184185184181181182180180179178178177176180179181181182181180180177175178178176171171172172175173173174177174173174173171166167166163164166165164166163168167168166163163163164164158166163162160158158155163158158161160160160159158158158156158155154156157158156154156157159156153151163163153157157155159160160158155162163166162159163168165173177181177181174168172172170168172174171173171175176175176171170171171172171171171172174174174173174181177176175172165162163158158159160161162160161166165171171166169165164167174173173173170170171173171171166167168167163161158163162164160160160165159163164164161171173171167165168168174162164166163165161159157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176172175177177179180181185187188188190191191193194196195196197197200198200200201204200205206207205207211214217218218218219219220221221220220220219219220220221222221219999999220221222222221220220218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185186182999163160155154155156158156159162162166166164163163162163161161163163163163163162162164164165164165165164165164165169175178182181174176167168166163161167171172173174175177177177175175175176174174173173173173174174170162158159161159160157159161162163164167168169169169172172172173175177181186189191191192191192194194193196194193191193187192189185186191187187186182181187185184178180186185185178181181179176173176174176175176176179177179176177177178172172171173173170169172172174174175176177177177175174168171168163161164165166163167163165167166165162164165165159160163162160159160155160157160159161159159160159160159158156158156157159157159161159160161159163154153160161159154158158158164161157159167161162163164169171181175177181172182178175165176172172175170172170175176173174174171172173173174174180177177174172173175175175173175172170164168161159158157156157157160162163165164168167169168173171178172173172169177175179171172171170166166165162161166166160160160159162167166167167165168170170171163165172175179180172170174157164172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223221999999999999999999999999999999999999999999999999999999999999999999999999999999999178177178178179178179179183187188189189191193194195195198197197195196198197198200201202203203208209209209213217219220219219220220221222222222221222220220220221220221220219999999999999227228224225224221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162160155157158158159162166172179185186187184177170169167167165163164163164165164164165165165166165165166165166171180190184188192184183176172169170163173177174174178178179178179178178178179181180176176174174176176176174170166166161161161161162164164166166169170171171174174177182185187190194194194197198196194194196196197196194192191188188189188188187187184183182187185189183186189187178181177175176176170171176177173174177178179177175182180179179177175175176178173173176176176178175176179176174172174169170167166169167165165166169166164166166166166166166165164162162163163161157160160162162163161165162162164160159156157159161159157158160161158163161162155162164162163164162164155161165168164168163167166166171173181182177177176182170180181177168172169177168167172171170170172173171175176175172179179180178175176175175174175174175172169168164164162159158156157158161163163166168170169174174174177171170174174174175175176174172172170170168169169163163161163166164166168163164168168163167168168172167174182175175168163168165187170176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214214999999215216999999999999999999999999999999999999999999999999999999999999999999181181181180180180180180181182186190191191190191194195196200201200199196197197198200202202204204205206210209212216218220221220220220220222222222221221220221221222220219220220219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163159159160157161163163165168174182187192190192189193187175169165169163169167165164165166166166166165166165165167167168181189190187191195182196186174174170169177179174178178176176176177179179179181183182180179178177178177179179178173174172167166166164165163166167168169173177181184187189191194192196195198197198196194197198196197196195192190191187187185188189188185188185184184188187188188183177177176172173169173179178177172172173173174176178180179179175179179176174175175181177175175178176177176175176176172172168166167166167165167168166165163166169164165165167164164164163161162157162164165162163161161165163164164162159158157157160156154158159157159162159160161162164162159164164160161166169169170169172166168175177181175180180180177184172175178178171170171170168173170170172172176177178175174179174173178184183180176173175172178174174172167167165164164163160159157163164164163168167168173172172177173172174177176172169173174173174174176173172169170166164164164166162165168168168168166165167167172174175179179175168163165165167168165177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208211208209208210212999999999999999999999999999999999999999999999999999999999181183182183183183181181181180182183189188189191193192193193195195197199199198198199198200203204206206206207208210210214217219220221221221221221222221222222222222222221220219220221221220220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163160159161162164167166173178182186189190191194193193190188170168171170167165170168168166166166166166166166165165167170175187188195196199192184194191191187180170174182176177176174175176178179180182182183182183182182181180180180180179179180180179179176172174173173174177182181187189186189192190198195195196196197195199201203197198194194194194186187186185184188187187186185182189188184190189187184170170172170171170176174174175174175176176174175175177175179178180180176171179177178176175175175174176175174174175173170173171164167167165163168163164165166167166166165164165164162166162162160163164165161161165163164163163166162159158159158158155153155156161162163161161164164162163163166165167165168169169169171169174172176182183184182182183185186176173172172171170170172172171167168171173177176176175178175176178182176181177180179177173177178176170164169162162164163162161161163164166166169171173173173176174172173176180177175173174174175174176174173172171170169165163165164164164168169167167167167169176174173176173171175195180166169175167173172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205205999200201205205208999999999999999999999999999999999999999999999999999999182185186185185185185184185186184185187189189190193195194194194197196198201200199200202203202204203204205207205208209213216217219221221221221223222222222222223223223223220218220220220220221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176174175999999999999166162163161162159158161167170174177182186188190192195196197196195191188188179168169167169171172172168167167167167166167166166170181188191195197200199192191193195193192186176176180175178177176176177178180180181183185185186185184183180182183182182180183182183184183182183184185185187188190190191192194195197199193195198201203202203197198196195198199196188188185189188184188189191190183186188189184182174170169170169171174173174175174173172175171174176174173174179176179177177177177183180178178177175175179175175178175175175176176173169168167166170165166163162164165163166165169168167162163165164163162166171168166164162168169165164164163162158159160157159161159162162163164167167166165166166167167165170168168170171170173168172178179181183177184186188187179178176174171171166163164164169172174170177178172175175178176177178177177177173178176175171172175174169167165162163161165163162164164165169171173173173174179175174174175177175176175175176175180174174174174173172173169166169170169167168170170167165165165175176171175180177173192185201188177173167174174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208202200201200199199200201198194999999190999999999999999999999999999999177180180184187188188186190191189188188185187188189188190190195196195195197196198200201201202204203203203204204203205206207211215215216218220222223223223223224223223224225223223221221221221220219219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174173176175174171166167165166165166167165167169172175179184185187190192194196199201199199199195197189181175173172174175174171169169169169168167168167168179191192195197198198201203198200198198198188186174181178178177178177175177177180182183184185186187186185185185183184185185187187185184188189188191190191192191193194197194196198198206201205205202205203201195195195194194195195189185188188186189187185187189184178187183178180175170171170168168167171173173171170171172176176172175173176181178176178176181183175177181179181176176181173177179174174174174176174172172171169167166164165166166166162166163166167166165164163161166168171171171168167168170166167167163162166160163159160160160160164165166167167169169168167166170171170172170169171171175175177176181180186184181184185189188182180178175170166168165164164165165176172175176181177183183179178179178180176176175177174171170169172167166164161162160165167166170169169170172174175171175177175178179175174177179177172175180183175175174173174177175171174173170171170171175172165165169169174176173185179176171175180181181179176174175171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209200200199197197196195194194193191191188188189189188999999999186183185179179181180183187189190188189189190190188188189190190189192192193194195196197197197201201203204204203205203203205204208207209213214215216217218220222222226225225223224221222223223222223225219222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176177176174171169167166165169170172171174176180182184187190193196198200200199199202202201201200201196186172175174172171172170166169169169171170169167179188190194194195199201202203201199197196197191192183180178179176178179177177179178177179181184185188190188189189188188188189190192190190191191191193191193196194196196194195197197198196197198198197196194198196193194193192193187189187183186189185187187189186186183182182179177174173170172174173172169170171167168170174170172173175172176173181179178178182187178183187184182176181181174178180175174176176173175174176176169167166165166167168167166171166167168167165169164163163171170170171173170170167169170168169167163165167166164166165166166165167169170173170169169169171170171172173172172174175178177179184182186183184185187186190186178176171169173169171171173169168169173173179178180184181180184183175183181176178174176170171173171171171165162161163167166168171170169173172172175178180179180184177176176177177183190182181177180174175176176180181174172171169171173167171169167166167172178182176179180181176175176177181182173173172174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206204999999999200200197198197195194193193193192191191191189189189188184185186186187182182182181181182184189189190189191189190192190190190191191190191191193193194196194198199200200203204204205206205206206205208204210213214215217217218218219220227228226223221220220222224221222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187182179179178176174171169165169170172175179183185189190190192196200202201202202203203202204202202201204200187183176170169173174175171169170169170169170168172188190193193193196197202203203199198196192194190187187182179179178179179178179179180179178180182184187188189191193191193193192192193193194195196196197199198205199198195197203202197197197196199198197201199199197196196193192191184186188192200189192194193191189192185185183186175174174175175179173170174171173172169174178176175174181175177177179178184183183183180186183185183183183179175174179172172173174175175175174175178172168167171172167167169169166169169166163164164169167167171171169167172168166167166172168166167167162166164168166169167167169169172172170172173171173173173174171172179178179177180183181183184185184186188185190187182177171168172172169169168171168169173177174180180182181184180183179182182180175172171172168169166169167167165167169169168169171173170171170176179177179181183182182182177173172173179185181178177178179176175177176176173173172173168168169168169168167170173172180172177179180180179177182180172173181180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204206206204201198197196194192191192193193192191190190190189188188189189187185183183183184184183184189191191192191191190191192191192192191191193193193193193194195195195199201202203204204206205206205205207208207211213218216217218218218218220223224222222222223222223222223999999999999999999209210213999999999999999999999204200204205207999999999999999999999999999999999999999999999999187186182180178176174172171170172177182187190193196197200200200201203203203203202204205206206204204200204201200192183174177177170172173173173172174173170171169177186193193193193195199203205200197195193191194191187185186181180179178180181181181182181180180182184187188188189191193193193193193195197196199200197200202204199198198200196208201199200200200194200200199203201190195194194195192189189191201194194197189189189190187187186187183183180175177171179175173179175176178173176174177174176183176177183183176185184186186186178187188186184181173181173178177179176176182177178178175177176173170169169169170170168164166167168168171168167167168168169170171167168166168166169166166167166167167166168167170168167170168170171171172172173175174172173172174176174182182180182183185182182186189184185188188188182173174172171170167172171172175175174174177177179183181177181181180179177171174169169168170168167166168171172170169171173175175176177175178181178184182184184182177180177176178173183177177180182188181178179178178173175173173170170171170173173171175161168173176182180176183185182180175186184176187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999202205204202200196196194193191191192193193192190190189189189188187189189187187186187187186185186189191192192192191191191192192192192193192195195194194194194196196197199203205205204204203204205206205205212211213216217215216218218218219218220220221223222222222224223223223222999999999999999209209209210999999999999199199199199200202204203204999999999999999999999999999999999999999179185184179176175175173172172177185189193194195198198199201201202202202203202202205205207201202202202202205204202194181177176176173174174172170175172171170170174184190192191193194196200204203196193190188187188190191185186179178182182182182181182183184182182182185187189190190191193195195195196199200199200202201204200202200201198199202203198201203200202197201202202201192198195197196194191190187194191189187186187185179178189186180183178178175178177175175175176175176176175176176176175176176177178178180179178179179185184188179183182187178180179179177180179178176178176181177176175178178175171175169168167168165169169170166168167169167169168168170170170170168172166171167169168169170168167164171169170169168170171171172173172175174175175175176174176175177181183183184182186192183187188192188189185188188184178177170168169170172171171174178180181181185185181178176181179181180177174178171171172170170174176174173171170169171171175179177175176178179181184184182183181177178175177178180183182188187182178178182180178181178176176177171169166173185170169167173185176187187176173177184184179185179180178 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199202202200199197194193192192192193195194192193191190190190188189189189189190189188188188189187187191192192192193193193193193194194195194195195195195195197195197198200205208208207204207206203204205204206215210213215216215215217216216219219220221221223222222222222223225225999999999999999208208208208208208999199197198198199199199199200201203202201999999999999999999999999999999999182183181175172175175174176181188192194195193193195196199201202203203203203203203205207204202205206206204204205206189185176175173176173173173172172172173171173181187191194192192193196200201198193197194186184183185187184185182181182180181183186181183184183183185189189189190192194196200199199201202203205207207205210208207202205202204199207208205204204203203202197200201193197197200199197197197198198196196193187188189187187192189189188186182181184182182181181182181182176176174176176177177177179180179179178179179183183183179185189187189188181183181177179179179176177176178179179176176178178177179169168167172167172167171170167170171171170169170172172169169171171170170171171174173174173172170170168169171172173171171174177176176175178178175174175176178176180184182187188188186186186191190188190189191189186182170171171172173173173174175180179178179181186178179181185182181179179178179175172176174173174174175171173175169174174176179179178179179181181183184183181180181184183180184178175181183180180182184181180183182178173170169168167166162171173179177175187175180183184191185186186190183180176186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207204203200199200199198194193193193192194194194194193192193193191191190189190190191191191191190189188187191192192193194195195195196195195195194195195196195195195198196199198203206209206208205204203203202204204207208209213215215215214215217218219220220221222223221222222221221226230999999999999999208208208208208207205201201202200199199198201200198197199199198199196999999999999999999999178181181175173173176177178183188193194195193192192194194197199199201204206207206206206202205203204208208205205204204198191181176176174173172173173173173172175178188189192193193191195195199200197197194190188187183183183186186184187182180181180181184186185185186189189190191193195197201198200203206206207210212210210207200201199205206206210210204204204205205199205201200198202196201202202199197198197197200198198201197189195193191188193192184190181182184182181180180180180181176176172177178178178179178179178181180181180179186179185182183185186183179179178182181179176182180177179179178176178178177177177172172177174173172172174174175171174173173171173174180173171173176175175175179177179180177177175172172172172176175175175178175176178176180179177177176181179181183182183184185189189188187189190190190189187185184179174170174174171172172174180180179177180183183178180179181181183182181177178176176175175173173173173174175175173174173179180178178182185181185187184179180185186184184180182186183184189188184185183185185180176174170170170170176176172170178179183192196181181195198192184184187180185180180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208207207206204201200199197196195194195195196195195195195194195195194193192191191190192191191191191190188188188191192193194196197197197197195195195195196196197195195195198198198200203206206207208204203203203204205207210209211214213215214215215216217219221221223224224221220220999224225226224999999999999999999207208207206205205204204202200200200201201200199198198198198198199194999999999999999180180179176176175176178183187191195195193191190191193195198200201202204206205205205206204205203207209207207208206205201200188179178177178177176175178178178181186188190193191190191190197198201200199192190189186183182182183184188189188187183180179184186189189187188189190192197197198200203206208208207214212213208210203201202200204206207207207206204207206206205205202202201204204204205205205203194200200199200201201200201196199194199189195194191189184183181182184182179180179180181180178176178177178177179179181178184185181179179184188186184180179178183183183182178178181178179179181178177177176176175177176180186186180181177178179180176175176177174176179172175175176175177179180180179179180178178177176173173173176175176176178178182179183184182182183182181184184188186183184189188190187189188192191190187188186184178171174171172172174176181181179180177180181182179178181180182183184183185182180178175176175175172172173174176177177177183179177181183183187190186187185181184184180187179181187179184189194190187179180185183176174173172173175175174176179177180189197197194199192192204204187181185189182188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206207206204202200199199198199198198197199204205201201199199198197196196194193194193193193191192191191190191190190192193194195196197197197198197196196196196197197197196197198198201201206209209210210208206207205206209210211211213215214216215216217217219219221223224224223221221221222224225225225224223999999999999999999999204204204204205204201201202203201201199199200200198198199195194192191999999180177177176176176176180185188191195193191190191191193196196198203202204205205205205206205206205205209208205208207207204198197188179181182182180181180179183187191190193193191191192194196199201203201196193190186186184179179180185187188190188187185191192193192191190187189194198198200204206209210210211211210209208201203205206205207214205204204206204205205206207205203203202203198200199199196195196201196193190190191196196194195196191193194198191192187184178177177178177177177177178176176178177178178179176180185177178179179178177183180178185177175185179183184184179178182181179181180182177180178177181182178182180182185185183183187187183185183181179178179176174177178177177178177179179183182181182185180175181178178177180183185185180185186187189186190187189190188190189188190190189190190188190191192191190189187186180174174172171174174174178179182184179179180179180181182181184183185185183184183183180181179178176178180180182178185180179183182181183186186188189188185185187188188186186183192193191185191187184181181180177175173170171172172171174176177183192196202204199199196203199198179181186188187197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206204205202201200200199200201200201201201200200201201202202201199198197196195194194194194193192193192192190192192193195196196197197197197198198198198197198199199199199199199200201201201205208209210213212210208210211211214214215214215215214216216217219219220221223224224223224223223225226225224224225223999999999999999999999999205205204205204202202203203202201201200199200199198199197195194193189181173175176175174175177181183188191191192190190190191193196198199201202204205206206206206206206207208210208208207209208204200201193184181184185185186185185187191192191191190191191193193196201196200201202203196190188182178177176180182183185189191192194193193191189188189197199201201203206209210211207206206203211202198205205208204206206208207207208206205206206207207206205208208202201200197196194197198195195204200204205201201200198203202200197195193190190188184182182186183181180182182182182182181180179180176176176179179183184177175177180179183178179179178178184183178177180180180185185180178179183189181183186184187186189188189189189189186186187186188181179178180182180181179181183185189184181182184183185184186186186186189189190190193191194194193192192191194190192191191192192194193193191189189189192190189189189185176173173173174175179179180178185181183182183184185184183183182185183185186187184186184184181180180183180181179184182186184183186189188188191191190191192191193191190189191195195195195184184189188186186182178178173175173171174174176178184199199202200201197205206206206188186185188187193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205204203203201201201200200202203202201201200201204203204203203203200200198199198197194194195194194194193193193194195197196198198200199198199199200199199198200201201200199200201201201202202207209210212213215213212212213215216216217217215216215215216217218219220221221223224224226226227226225225224225225221999999999999999999999999999999999206205206205205205203203201200200200201200199199197196194191179176176177176176176176179183185190191192190189190192195196200199202202204204204205206206208209210213214212210206207208208205203201192185185186189189189189189191191192191190191193192194198197200197198199201201200196187183184181181178183183185186188189189191189188190197200202203204205205210212210210206204204203201206206204208207211209211207209206208208209208211212211213215216212207205197202199200199200202210208206209208208206206202204205204201200201202199198192193198199195190189191193190191189194194193195196198195191194189186190185184187188195195197194194194195195190188186190191189188192197195196197196198198198195200199197196197194191191191192190193191184187189190194193186185192196195193193192191193196197198195194194195199198197197198199197195194195196193194194195195198197198196195192193193194193191194191189183177178177180180179184180182181181185184184185187188186186188188189188188191191190190188184185187188186187185184185186190189189187188189189190191191195194196195194195196202203210199186187196193188189186189189185182187184182176178189188196197197195197202209208205191188187193192192192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207205204204202201202201201201204205202203204206206207208205205205203201200199199200199197196197197197196196195195196196198200200202202202201200201201201200200201202201201202202203203205205205206208210212214216215213214214216217216215215215214216217217218218219220220221225226226227227228227227227225227226224999999999999999214216999999999206207207208207206206204203201200201201201199199198199198196193184177178179178177176176178181184187189192189189191194197198201203204202202203204204206208208211213213210206202202203205205205205202196189187187189187188189190190190192191190191191192195195196198200199199199201201203200193189183183181189187186185185186185185188190197203204204205207208209210211214210208207206203203205206206209208209210211211210209211216218218217217212217216214212214212211213212206205204200201202202202204204204205204201200203200197200201196193194194198195194192191191189185187187190191193195196196197186195196198194193189193193196197198197195193193192195185189188189190192193201199194197198198198198200196197193193197196190193199194194196197192192194196194190189189194193193191191192192192192194196196197195198197197196197198199200198199197197198197198198198198198198197197197195196195193196195194192182180180182183180182181180184185186186186187188190190189187188188188188188189190190190190186185183191189189185182187186190192194192190190193194195193197197196194193192194200204199197199195193195189191186189193190183188185186195192189186193196195196198198198202201200197202193191192195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206205204204204204204205205206206206212212212212212214214214212208206203204204202200204202200198200201201200199199198199200201202203206206205205205204203200201201202202202203204203204206207206208207210211212215217216214214215215217216216216218217218218219220220221223224225226229230230230230231231230228229228999999999999210210214217218219217215215212212209205204202202201201201201200199198199198199198197189178179180180180179179178180184187189190190190194196197200203203205204202203204203206209209207206206204201201201201200201202205203200195191191188186186188191190189190191192192191192192196196197200201202202202199202204203201196191191193192191189192187188188188197202205204206207207209212213214215211209208205204204205205207212208208215210218211215216220220219217219217215218220220208213211214214215216212210206205203202204208207207207208204203204205202204203203203203199193198195196194193192192195193196194195199196198196196196196192193197197197198198201200198197198200195192194192191189195195198200194198198200199197195192192196192191194194197200197201199197199199198198197194194194196198196194195194195195196196195197198201198198199198200202202202201202201201200201200202202201200200200199197197196196193196196194192188179181185183183184184183187187188188187188190191190191189188188188190191190190191195191191185183188189189189186189191193194193194193196195195195195196193195197194193196203203200202203191193194188184183191193194190186189188198194193199202201196200203202202210210207206205204208198195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206204203204205206208208209208208207207209208208209211210211212208207205205206205205206205203200199202204205204203202200202203204206210212212211210208205204203203202204203204204203207207208208209209210214215216218216215214215216216216216216220222219219219219220222224226228230231232232232231233234232230230228999999999999217219227228225219214214214214212213210205203202202201202202202201199198198199199198194181179180178177176176178184185187190191191194196197199201205205205206204203205207209209207207204201199201200198198199199201202204201199196191189186186189192191189191192191192193192194193195198199201203203204202203205206206207204207203198196192192192189194198201205206207202204204210215217217217213208208205205207202207208210210209215213214216223217220218214214216218217219217216216217213210212214214215215212216209207203208210210211211210207206205206205206209207204202194201199197196197192195201201196193197198195196200202199197196196203198197198199200202198196203197196194187192197193197198191197196200196199200199198199196197193198206202200203203204201201202197198198198197197198201202201199200198199198200197197198197199200201200202202205203204202205203201201201203205205204202202200199198197196196197197191192189186180180181183184186186186187188188188188188187188189190188190190192194192196193194194193191189191194194190189189188191194193194193193200195198198198197195193193194196199203202210196185188194197196194191197196195190189182193195195195204196201209211204203203211203208207206206210210203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206205205206207208210208209208207207210212212209212212212213212212208208207207207207205205203203203205206208208207205204204206206210212213215214213210209207206204204205205204204205207208207208209210212214216217218218216215215216217217217219220223222223223224225227228230232233234236235234233234234233231231229224999999223228235232230227999999999210211211210210206202202202201202202202201200198197196199198197188179180178177177178180188188188192191193196198198200204205204205206206207209209211208207205202199198198198196198197199200201202202200198193191189187188193193191192193193193194194195196200199200200202204204205207206206205205208211204199196194194194196195199206203204205208208208210213217222217212213206206205207213210216215214213212213216220215217217221217222224225223216215219219215217217217217218219217216218216211210204209213214215214208201207212205215209206205205204205205202200202200202203202192197194195199198203206201204196205204201199202202205201199201196193186195191193192191193195197198196198199201201202201203201203205207209210209209206205203203200199207201201207199203201204204203205201202201200201202201199199202203204204204205204206204204206206206207206205206206203203201200199200200197197197195192187185181180180183182185186187187189189189189189190194194194194197196196197199198195198198197196198197195196192192191190190191193193194192197201201199196196194199191195193198197201201189186191198198194192195196195190189187193191194196198205208208209209211210213214211212210209209208208203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208206207209210210211210210212210210212211211212213213212213215210209210208207206208206207206208209210211210209208208207208210213215216215213212211211209206205205207207207206207207209209211212214215217218219219219219218217218219219220221222223224224226227229230232234235236238238238236235235235235232231229227227229235237232227228999999999999999999208207210205202202200203202202202201201201199198196198198193187184181181181185190190193191191193196199198198200203206207205207208209211211209207205201198199197199198198198198199200200202203201200194191191188188194194193193194194194195196198199201202203202202205206203206206207204205206209205199197198197196197198205207207206207209210216214219219223219214210208210211210211216219218216217219219212219220216219223217217223222222219218218215216217215218216216217214214218217213211210209214212212212207206209210208204206206207203207204202199199198200201203198199200198198202200200203204205203205201202200202204205204204204202199196200196196197196199201200200200200202205204204205206208210212215213213214212211209204210208207206207207205204206206206205206208206205202202206206204207207206206209210208202204206206207209208207207209208207207205205203201201202202201200198196192187185182182182183183184186187187189189190190190193197199200201200200202203199201201196196198198202199199199196195196195197195196197196198199203204205201196195196197194196200205200200192195192193203197197195197197191192186191196201202205210206207212213212209212211207208212212211202207205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207207207208210211212212212217214215216217216216217217216215215218217213211212212211211209210211212212211212210209209210208209212214216217217215212212210210208208206208208208207207208210212214215217218219219219220220221219219219221221221222224225225225227230231232236237238238240240240239236237235235234232231230232240239227226226227999999999999999999208208209205203203202200200203202203201201198197197197196195190185180186183186191192195191193195198200198197198201204207208208208210211212208206203201199197198200200201200200199200200201202203201197194191188190193195196196197196197199200200201201203206205206207207209208208208207207206207209206201196199199199204207209207206206206217219222218217220221215216214214213213214210209221222216216219218220220215224222222224226223224220218221225221218220219218213218213218218219219219218216217217214215210211210216207206205209208206208207201201206206204206207203202198202204205201203204207204203204204204204207208204205205207205205203206206202202201201201203203202203205204204206207207212213215220217217216220214213215218216215213214212208208211209209209209211210209208208206207209209210208208210212208209209210210209211213212211210210211208207207204204202200201202200197195194188186185182183183185186187187187188192192193195197200201201202202204204207207203203203203202202204204201200200201200201197196197198197200201204202207205202195199197192200203202202198191202203199204198199197197196192192192196200205205205209207211211208206209210212208211207209208208200199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206206206207210211212212213216215214214218217219218218217216216215217218212212211213212211211211212213212210211211211210210211214215217218218217216212210210208210209209209211210210210212214214216218219220220219220221219220220220222222222223224224225227229231233236240240240240241242242241239237237235233231232234239242999999999999224218214215216217999208208208205204203203202203203202202201199199198197196195196196188185188188189194194191192195198198199199197197199203207207207210211212210209204201200200198199201201201200199200200200201202202201200195191189191195198198198197199200202202202202204207205206208209211210211212213213211209208208211207205200201203205207207207205207209213221219218220225221219216212217209218213208208212215217218218222219216221228230229227225222221225219222217225224221223217216215221216218219220220220219217216208214215212214212207205204207205205203200205209208203210209202202198205209205201203202202204204203204205206207205203205207210209207205205205205204202204203202205207205205204204207207210211215218221222218220220219219216217220221219216219217215215214214212213210211212212210209209212211213212210212212212210213213213214214214214213214214211211209207207204203205203203203202200195192190189188184185187186185187187190191192197201202203202204204204204207206208207207208205207207207204204204203201203203201198201202201202205205206208206204200199198201204204209205204198197202198200195199197197196194192195197200202205206210210211213211207212211216215209207202207212207199197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205206205207210212213214215216217217218218218218218217214216216218220218216216215215213212212213214213215215215215213212212213215217218218219219218214212211211210211212211211212212213215216216217217218220221221222221220220221222222223223223223225225229232232236241240240240240241241241240239236236235233232233237243244999999999999219219218217216210999207206207206204204202203203201200200200200201199198197197197196190187192191195195195193193195197196196195195197200205208208208210213214210207204200199198200200201201199199199189200200200200201202196193189188191196197200201199201202203203204204206211213213216214215216215211213215213213212212210213213211206204205208205206206206208216221220221223228226223222221217217218216217216220224220221222225222219226230228228230221226216223225219220220221224221219215214218222220222225223221220218220219218218215215211209208206207201202205210209212211210209206205208205205208208203203205205206204204204206208210208208209209211207206207208209206205206205205206207209205204206205206210212214218221224223220221225222223222219222222220220221222219216215218219217211213213214213216216213213212212214214214214213215214216216215214215215214214212211208208206204205205205204202201198196194188186185183187183182186187190191191193200204204201203206206207209209211211211213211211209208211208207206206205203201203205206205202205207209211211210204204200200200200206209209201201200200201203197197196197195197195198201202205204208210210209211211210214216215215212206209204199198198199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205206209212212213214215218218219219219220221219219219218218221223224223223218218218214215215214216216216216217217216216218218219220220220220219217216214212212212213213213213215215216217216217218219221222221222221222222222222223224225224223224227231233236240241241242242242242241241240238236235234234236237242245245999999999999221222999216215999999206207207206203204203203201202200198198199199199199198198197195190189196195197196194197194195195194194195196198201205207208210212214214210205203201200200200200200200199199200188199199200201200199194192190192193197200201201202202203205206211216216220222223223223225225224222220216218219218218217215215216218214210208206207207207212212218220223225222222223223221215219222226220217217221221223222222224222225222223224225226224223225224222221223223221219218220218218218215219222222222221220218217218217214215214215215210208207208208211211214215212212211212208215211207205202203207206204205206207208208209208210210210209211212210211207208207206206206209211208207207209206207209213216219222223221223223224221222223223221222224225225225224222222222222219219217216215216216215216215216215215215214214215216215216216216215214214214212212210210209207205204204205203203198199197194189190186187189191187188188191194197198200202205204208211210211212213214215214215215214214216212211210210210209206205206206208205205206208209210212211205202205206205207208207206210201202200205207206200199198197200198203204208207208209209211213214211212213210209209213208207202200203201202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252250253250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205208211212212213213214217219220219219220220219220219219219219219221222220220220219219217218215216217216216217216217218219219220220222221221221221220218215213213214215214215215215216217217218219219222221221221222222223223223223224225225225227229233237239239241242242243243242241241240238237235234236239243246246242999999999999999999999999999999999205207206204204204204202201198199200200199199200199197198197195191194195197197196196198196197195195195197197200204207208207209211213214212206204203201200200199200200200199199198198198199198198197195191191191193197199198199202201205210217221227224226227229231230230230229228227227224226222220220220217216218218211214208214217213214216220222225222224224226222225219216226229226229227221222223219218223221222224223224219224226227224224221223225224220221222223222221214220225224223223221222221218218218212220219216214214214213212212215216217215216218215214213216215211209207207208208208211211211211210210210211214214213215217217216214210211211208206209209210210212211210210215214216219222223223225224226225226226225224223225226227226227227227226224223222220218218219217218217218217217216215218217217215215215214212212213212213213214210209210210207206206204207205202200202200192193193192193189189189189193195202204205206208209214213212214215216218217215218217216215213214214212212212212208208207207207206209210208209211212210207210210208209210205204207209202202200204206206205201202200200203211210213211207208208214211208210213215211210209210208204205203204206207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258256255254253249244242250253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209207204203207210212213213213213214216220220220220221219219219217219219218219219220220220221217219219218216218218218216219217218218221220222224225225225224223221220218216215216217216216216216217219219220220220223222222222223223223223223224224225226226228232237239240240243245245246244240239241240239237236236240246247999999999999999999999999999999999999999999203206206206205204203201200201202201199199200200199197198197195194196196197197197197199196198197197197198198202204208209207208206211214216211206203201201200200200200200199198198197197197196196197196192192192195198199201202205213220225225227228229231233235235235235236234231231232232228226224223224223221219217220221221225226222227221221223223224224226227228229228228230232232228231231229224220221221220218223221221220220226227222222222222222221220222221223221221223224223222222220220222220218219219220217211218215218220217216217215215221216217216217217214216215214212213213213213213214213213215214216215212215216218219220221219217214214213208207209210210210214214212214215217218220223220223224226225226226227226227226227227227228228229228228228227224223222221222219218220218217217216219219217218217216216213212215215213214215215215214212211212209208208208207204200201201193193191191191192192193193197198204207208210208211210212214214214216217218218218215216215214214214213211211211211210210209208209210211209213214213211211211211210213211207208207216208204202205207207209208205206205209211212212213210209212214210208215212212210209205205210208209209210213205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255254254253255254252249247253255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213212210208206205208210212214214213214214216220221220220223220219219218219219218219220220219221222219219219219219219219219218219219219219220222225226227227225224225224222220220218218217217217218218219221221221221222224224225225223223223224224225226226227227231235239240240242243246247247243241244242242240239237238245248999999999999999999999999999999999999999999999202203205206205203202200203201200200199199199199199197197197195197195197198197198198196195200200198198200201204207209209209207207210213214215211207203200200200200200200199198184180196196197196197196198198199199201204210217223228228229230233234233234234235234236237237236236235234233230230229225226226223223223219223224227227224224227227229229228231231231231233232234234235234234235231231226226224226222222221222219220225224226226225222223219221221220218220220216221222222222219220219221221218217218219217217216219219221218219219220217217218220222219223222219218215214215215216217218217217217216217217216218218219220223223223219219218216214211210208211212213213214216217217216218221223225227225227228227227226227227227228227229228230228227227228227226226224223224220220220218217217217219218217217219216216215215215214214214215215215215212213210211210210209208203201202197190192191190192194193196196201203207208211212209209211212213215216216218219216217216216216214213213212212212213212210211211210215214212212214213212211212213213212210209208208208211213204203206208210209207208210210210212211210211209210213214211214218214209211209211208208207211209210208206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259254255258258255254256254254251252255256258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212212210209207206208211213215216219220220219222221221222223222222221220220219219220221222223223223222222221220221221221220220220220221222221225227227227225224225225225223223222221221219219219219220221222223224224226227227227227226226226226226226227227229230233238240241241242244247250249249248247246245245245243246249249247999999999999999999999999999999999999999999999999205206207206202202203202201201199197199200198197194197199198197197198197199197198198198199198199201204205207209208209208209208209212217218214209203203200201199199199185183181197198197199199197197202203208216222225227229231235237236237235234233234235236236235236237237238237234233234230226230225230227222220227227230229227229234231233232231234234236235236235235238231231234238234235233227229231226223226226221223222225226228226225222218223222222223224226225222222222221221224223224222220221221221221218219220223222221221219219218221221224224224224222221221221218221221221222223220220219218218218220223221223223224225226223222221219218215213214214214215216218220217219218220221225226226227228228227226227226227227228230231229229228227227226228228228227225223223222220220220219220219218218218216216215216215214213216214215216216213213210211211211211209209208205206202197193192193196197198201202203208210209209210211213212213214216217217219219218217216216215214214214213213213214212212212213211213213213214215214215214214214217213210209208210211210206205208209212213213213213213212212212213212213213214215213214213211211212211210207209209208209210208208206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259256256257255255254254252254254257259259260266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209209210210209209207206209211213216213214216218217219222222223224224225224223221221221223223224225224224223222221223222223222223223223224224221225227228228227225224224225225224224223224221221221222221222223224225228229229230231231230229229228228227227228229231232236240241242242244247248249251251252252252251250250250250251251248999999999999999999999999999999999999999999999999999205207205203203203201201199198199199199197196198195198200200199198199198199201199201200199199203202205208209210210208208209210211213214217221216210205203202201200185185198196200201202203203205208216222223226229231234239239239237238236235234234235235235235234235237237239237236233232230229229232228223232231225226229232231237236235239240238239239241241242242243240236240241239230230234234236224228229228223222220224225227228227223221221221222222224225223222221221219219222223226223220222222221222223223222224225222218221223224225224223224225224225223223223223224224225226224223222221220222218221224226226226226227227225223224221220220217217218215215217221222221222221220220225225226226228229228226227227227228227230231229228228228229228229229229228226226226224223221221220219219218218218216216215215213213214215215214215213214212212213212211212210210209208209205202197196198203203199201204209210211212213212214215212213217217218219221219218217215216217215215214215216215213213214215214213212212214215217217217217214214216218213212213212210209208207213211218216216217216213211213211213216217216216215215215217223218216216214212208209209209211211210212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255254252253253254254254253254255257258261263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211209208208209209208208208209213213215215215215216218219222222221223224226224224224224224225225226226226226226225225223224224225224226225225224224226226228228229228226226225225226224225224224223223224226227227230231232233232233233234234233233232232231230229230231233235238241242244243245246248249250251252253253253254254254254254253249999999999999999999999999999999999999999999999999999999204205202205203200199199198199199196196197198196196197198198199199199199201202201202200202204204204206210212211209209210211212213214215218220219217212207204201193192199200201202205205211216218223225227229234237238240239239237236236235236234233235235235233233236240238238238239237231225230223229231231231228229235238235236234240242241240241237243244244243242241237235241241238238240239236236234232232226222221223223227229227226224224222224223225223222223225223221224223223224224223223222223223225228230228228226224226224225225225223226224227226224226226227228228229225225225226224223219219224228228227229230228226226226226224223223222221220215216218222225223222224222224224225227228227227228228228227227227227229231230231230229230231230229229230229228225225224222219219219220218216215217216214214215215215215213214215214214213213212213213212210209209210208205200199200200201201204204208211212214214215216215216215217218219220221221220219218217216216214213215215216215214214214214214214214212213214217218215215214214215216212213213211211211213212215216215220216218216217216218217217216218217215217219219217218220217218215210211213211211211210210210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254253249251250251252252252252252253253256258259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207208209208209209209209209211212217219218219216220223225227229228224224223223224226227226226226226226227227226225225225225224226225225226227227228229229229230230229229229227227227226225225225225224226227228230232234235235235236236236236236236236235235234233232232232233237238242243244245246246247247248250251253253254255256255255255254251999999999999999999999999999999999999999999999999999999202203201204203201200199199199197199198199198197196195195195198199200202199202201202202203203205204207209211211211212213212213214215215217218218219220218212206194195204209209213215213217222220225228229234237239239240239238237235238238238235234234235236236235235238237238237238239234237238236232228233232235232235233236238240240241244245241242243244244241242239238235239241239240237238238238237234232231227225223225227229225225225223225226224224223225226224225223223223224224223223223222224223228226226232230229231229227227227226225228229229227228228230230231231231230230228229229226226226226229231230231229229227227227226224224223224222221218218220222223224225227225227225226226226226227227228228228228228227229231233233231231231230231231231231231229229226225225221220221221219217218215214212215216216214214214214215215217215214213211210211211211211211209207207204203201204206207208209211215214214214215214215216217218221221221221219217216217216215212213214216215215215215215214215215214212215215215217215215215215214214213212213211211213215219218217219218217218219216216217218218220219218220220220220219219215217216212212210212213215212210212214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255253252250249249250249250248250250250252253255256999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216213212212211212212212212213213213216216217217218217217218220222224222224223223223224228229228227226224224225226225225226227225227225226227227230230231231232233232232231230230229230229228228227226226227229231233234236237237238238238238238238239238238238237237236234234235236237241244245245245246247248249248250253255256257256256256255255253999999999999999999999999999999999999999999999999999999999202204205208205203202200199199199199198197196196194194194198200199202199199200203203204205204204208211212214214213214214215214215216217217218221221221222217201197205211215218222221221219224228232235235238240240237239238238238237239238231231229229234234234230232234235233238239245243244243240239235237235243245235242242242244244245243242244243243243240239239239238239238237236236238240239237237238234233230225224228230233232230228226224228227228229229228226227225225222222224226226225226228230231232234232232233230228225229225225229231230229230231231231233233233229230228229228229230227231233231231232232232230229228226225225224223223220219220220221222222223223223225225227227226227228228230230228227227227230233234233233232231230230232232231231231230229226227225223220219218218217215214216216216215214216215216217217216216216213212212214213213212211210210210208206207206207209210211211212212213213215213214216217218219219221221220216215216215214213215216217215214215215215215215215214215216216216216215217216215213213210207211210211214216218218216218217217217218222216222219218222221219219219221220219215221217217214215209213210216214209211215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253257258258255252250247245246247247247247246246248252253252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222221222221218217216216216216217217217218218218218218219218221221220220219222220221225226226227227229226223227227228226224226226226227226227228229231231233234235234233232232233233231233232233233233233232231232231231232234237238240239239239240240239239239239239239240239238237237238238239242244246247247247248248248249250250254254256256257255254253254999999999999999999999999999999999999999999999999999999999208206207207206204205200199199201199199202202203203201200200202202203202203204207206205205208207206209213214215216215215216217218218218218221222224223223224215212212209211215220223222219228231237238239239242241237239239238238238239236229229227233233229228232232234234235237242243244244244242237237238241245246245247245243245246247246247245242241242242238236237236237237238238238238236239240239239237236232230228229230232233233233232231230231231231231230225226225226225225227228229229231230233232232233231234233231227225227225226227232231231230233232233234233232230229230228230228231232234235233233234231231230231230229228226225224225222221219219220220221223223223225225227227227228228228229230229227227227231234234234233231230232232231232233232231230229226226225223221220219217217217216215214216216216217220218217216215216215214216215215216215214212212211211209209210208207209211211211213215215215216215216216216217218218220221220217215216215215218217214215213213214214212212215216216216217216216215215214210210213210208209208212212215216219220217217215214217216217215216215216221221221221219220216219218218213214216215212211211212212213213216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252250255254255253250248245246246246246245243242244247250258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222220222222222221222222221220217218218219220219219220221221223222223223220219219220221222223226226225225226227227227230229229228229228226226226229230232235233236236237237235235234235235235233234233233235235235235235236236237237238239240240240241241241241242243243242241240241242241240240240240240241245245247247247248250250251252252253253255258259257256999999999999999999999999999999999999999999999999999999999999999999208208208208206205202201201202205210207210210209210208209209210212209208208211209208210212211209210213216215216216216217218219219219220222225226225226226220220226222216215218221221223231236239242242243243242241243242241239239234233232231233233234227228230234236236239242242242242242242241242240241245242242243244244244245244244243244242241241242241239239238237235238238238239239239239240238237239237234232230230232233235236235234236237236235234234233230231227228229226229230232232232232233233231233234235232230230228228225224224229232232234235235235235234234234233232230229229231234235234233233235232230231231231230228226224224223222221220220223223222224224225225224226226226227228228229229228229230229229233234233231233232231233232231232232231230229227226225223222220219218217217216216216217217218216218218215215216217217219219217216217216217215216213212212212211210211211212214214216217216216215215216217218218219221223223220217216216216217218218216215215215214217212212217218217217218218218217216215212211211211208209209212213217217220220216215215216216214216219218220219220219220219220221217218218213213215214215214214215212214213215216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259254251250250248249249249249248245245248246246247242241244246999999999999999999999999999999999999999999999999999999999999999999999999999999237241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220220219220223224224225232232230225225223223225225223227226227228228228226226225224223223224227228227228228230228229229229229229229228229228231232231231234237237237239239240238237237237236237235234234235236238239239238238237237239239241241241243242242243243244246245245244241242242244243243243242241242242245246247250251252253254253253253255255254256258257258258258999999999999999999999999999999999999999999999999999999999999210209209209207207203202203207214213212212212212212211211214214214215213214216214215217215214213212212216216219218219217218219220219221223227228227227228226227230229227224227229225231235240243243246245246245245245244242240239236234234235234235230230233232232233238236234236236239237239236236236237239244244243246244246244241242245243241240239240236238238236237237239238237238237239239240240238239239237236232232232233237238237237237239237237239238236234232230233234232231233232234236236234233233235235235235234233232231228228229232233234235235235236236235235236236234234233233235235235234230234233231233232230231231229225224224224223222222223224224225225224225226226228226226226227229230231231231231229228230235233234235232233232232230230231231230229228226224222221221219218217218218218218218218218217216217216216218218218219218218219218217216216217215215213212213213213213213216216218218217217217216216219221221220221223223220217217219219220219219218219218218218219217217217218219219220216216216214214213212212214213213213213216218217218217216215217214217218217219215216220222221219223220218221219218218219214215216213213212214214215217217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251259257250248248249250248247247246244244247244243242242242246999999999999999999999999999999999999999999999999999999250250250247243244241239239237239241243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225224224223219220222223225227227228228227226224225226228230231231232232230230230230230229228225226227227227229229230230229230229229228229228230230230226229233237237237239239240242241239238239237238235235237238240239240241242241240241242242242242242243244243246245245247247246245244244245244244244245244244244244249251253255255256257257256256255256257256256256258256256258253999999999999999999999999999999999999999999999999999999999208210210210209207204203206210212212214212213212210211211212215217219223226227224225221217214213213214215218217219220219221220221221221223229230230231231231230232231231230229227232236240242245244246246247247246247245244241240239235235237235236234234233233232235237236238238239239238237238238238240243244243246247247241242242242242241240239242241238240237237239238239239238238239239239238239239239239238238234235235235237237238239240239238239239237236235234235234234232232233233233235235233233233235235235237236236236234231230230232236233233235236238238237237237237234237236237236235236237232235235236234233233230231229229228226225224224224225224225225225226226226228228228226226227229230229230230229230229232234234233234232232234232230231230230228227226225224222221220219219218219219219218219219219218219220218219220219219219219219218218216217216217217216214215214214215214215218217218219218218218216219223222222222222222224220218217221221219220222221222221222221221220218218217218214217215214215215215212214212214209212213215215216216217218217218219218219219216218218217222221221221220223221221218219218220219218221216213214215215217216218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262259256253251251250250250249248245245245244245242242240239243244247999999999999999999999999999999999999999999999248249249249249246244243242240240239240240240999247250999999999999999999999999999999999999999999999999999999999999999999999999999999226222225224222222222222224225229230230230229230230231233233234234234234233234233232231230231231230229227230230230231231229229229226227228229230230231232230237239238239238238237243241241241240239239239240240239240241243244242242243243244244244245245246247246247248248248249249248248248249247248248248247247248250252254256257258259259258258257257256257256257256256255256257260256999999999999999999999999999999999999999999999999999999999209210210211209208206210209211213212212211212210210213216219227228231233227233232231230225223219216216212211215218217221222222222222220224228231231232233230229231230231232231234234238242245246246246248247246247248247246239241240239238238238237236236236235235237237239240240240240240239239241241242244244245248248243247241242246242241238237241237238239237237238239238239237238238239238238240239239239239240239238236235236237237238239238238239240238237237236235236235234232234235235236234233234236237237238239239240239238235234232232233234236236237238239238237236238237238238239237239239238236237237237235233234232231230230229227225226225225226228228228227227226229229229230229228228229229229228229229230232233235234235235234233234232230231230230228227226226224224223221221222221221222221221220221220221219219219219220219220218218219217217216215215217217217216213215218219219216216217218221217219222224223226225224225225226223222215216219220220221222225228224222221224222220217217215214215214214219219216214216216211210211216217217220220219221218223219220221220221221221222221223222223219222222220222222221223223222222223219218218219217218219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258256253251250251252250250253251250247246245243241240240243999999999999999999999999999999999999999999999242243244244247247244242239237237236237237237237240241241244246244246999254999999999999999999999999999999999999999999999999999999999999999999999224223223224223221223224228230231229230232233234234236236236235234234235234234231231231231232231231231230231231231230230230230230230230231232231233233237241240239239240241242244242241240242241241241242241241247247247246244246244246246246246246247247247248249250251251252252253254254254255254254255254252253253254256258259258258257257257255256256256255255255255255255257262258999999999999999999999999999999999999999999999999999999999999210210208208207207209209210211212210211210210217220226230231228232231230231232232233233231228225218213213211217219215220221222221223225225230233232232232231233233230230234236239242245246247248249248248248249248248249243241242239240240239240238237237236236239240238241241241239239236237239240241242244245246247244245245245244242241240240240238235238236238239239238237238239239239238239239239238238238238240241239236238238236235237239239241240240239238237234235237237235234234236235235234235235236238237240238241241239240236235230232234234235238239238238238238240240241239238239239240238239238239237237235235233232231231229228228226227226227228230229228228227228229229228229229229228229228229229231232233233235236237236235234232232231231230229228227225226226225224225225224224223224223223224224224224222223223222221220219218218218216215214214217216214217215217218218218218218216218221221223225228228229228230227227225223223223216218222222223225225227226224224224225223220220217215217218215215219219218216216215215214215218218216217218218219220220218220220220221222222221220221222224222223222218219221221225227223224221219220223224220220223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253251249249250253253252253251250251249248247243242240239240999244999999999999999999999999999999999241240241241240240241243240236233232233232231232233233236236238241244244246246248999999999999999999999999999999999999999999999999999999999999999999227222222223226225225225223230229231231232234235235235237236236236234231231233233233233233232233232232234233232231230231229230230230230231231229232235236239240241241240241242240241241242241244242242241242247246244243243246246247246247245246245246248248249251250252252252252253254254254254256256256255254254255255256256258258259258257255255254254255255255254254255255256260261256999999999999999999999999999999999999999999999999999999999206209210209208207207207209211212212211211211210219229227229230231230227227230230230232232232232230226220215218215212215216221220221220223225230237236237237238238237235236238239243244245247248248248248250251251252250249243244242243242241240239238238238237240240239243242242242242241242242243243244245247248249249246247247249245242245245241239238238239239240239239236234234238237238240241241241239239241241241241242241239240240240240240240241241240238238237238236238236234235236235235234234235236238240240243242243243243240238236229229235236237238237238240240241240241241242240241243241243242241241241240239236236233233233231231231229228229228229231230231229228229229229229232230230229230230231230230235236234235236236236236235234235233232232229228228227227226226225226226227225225227226227228227228228228227226224224224222221221220218219220217221219217216214215216218218218218220222222226227229230231231231230230230223223225225221220221224227227226226226225226224224223223222219218218218217219218218217215217216216215218217217217216218220219219219219219221220221222221221221223222222221222221219221222221225225224224224223224224227223224224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251249248247249253252252251250251250249250249246242240240239241243246253258252999999999999999240241240236237240239239239239237235233231230230229229229228230232235236238240243247249250250999999999999999999999999999999999999999999999999999999999999233231226223227227226228227229231232233234235237237237237238238239238236233233234234235234233233233235234234235233231230227227230230231228225230234237238239239240243243242242241240242244245244244245245246247247247246244247246246248247247247247247247248248250250251253253252252254254255255257257257257256257255256257257258259259258257255255254253254255256255254254256256259262259999999999999999999999999999999999999999999999999999999999208207210211208208208209210214215213213213214213216229230231227230230229225226228231231230232233231231230227221218220216213214218220218220223226232235237236239240241242242241244241246247246247248249248249251252250256254253251247244243245242242240239239239240242244244244244242243241242246244244246247248249249250249252250250250246246245240241239239238239238238238239238235236239239241241241240243240242244244244244243243242242243241240239241240241240239239239239237237239238238237235235236237239240241242243243243244244244243239236233234236239240239239240240239240241242243242243243245244243243243243242241240241239236236235234234232232230230229229230230230230229229229231231232232231231232231233230230233235236237239237238238237239237234233232231232232230231231230230228228229228230229229231233233230232233231231230230225227229227224223222222219216215217218217219217219219220220223225228228230230229232231230230230228227226226224223221221223225225225227226226227225224226225224222219218218218218218217216215215215216214217217217218217218219221220220222221222222221223221221223223222222222222221222222223222223227222223224226226226227224225227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251249246246247250248248248250249250250249249247244241239238238239244248249255999999999999999240239239238236234236237239238238237234233234232227226226226226227229231231233237240244246248249999999999999999999999999999999999999999999999999999999999999234230235227227228229230232232232233233235237237237238238238238241239235234233235236236235235233235235234230237235236234228231233233231233235237238238238239240241242242242243242242244242245245246249249248247247245246245246245245247246247247247247247248248248251252251254254253254255256258259260260259259259259258259259260259259258257255254254253255256257257256255254257260262999999999999999999999999999999999999999999999999999999999999206205211212210208211211212214214215215213214215225236235233230228228228228227227231234231231233233233234232226221221220216218216220223226227229231235236237237239238239243243244247247247248248248248248248250249251252252254253252249245245243244242241241242241242245246246246246245242244247248248247249248250250250249251251251249246243241239241240240240238237239240236237238239239239241240240241241245243242244244245244244243244243243242243243239241241240239240240241241242239239238238239240239240241242243243244244246244244242242238234234236240238239241241243241242242242242243244244246245244244243244242241243243241239238237236236235234233230231230230231232231231232234234234233233233233233234235234234234237239240241241241239237239236236234237237236235234234233233233231232232233235234234236235236234233239237236234235232233232231227230229231229228224221220222222222222222222223225228228230232232227229230230230231229228228228226225222223223225225226225227227227231229228227226225223220220219218216215216215217215215215216216217218219220220220221221222222222222222222221222224224223225224224224223222223223223223223223223225226224225226227225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270275274999999999999999269999999255253250245246247248247248248249252252252251248245243240238235235238240245250260999999999999999241239237235235234236237238238237237239239237236233228224223223223224225225227230234236239241244999999999999999999999999999999999999999999999999999999999999999999999227226228229230231232235233233236235236234235237237237238240239242237235233234234234234233234234235236236238239237237235236236239237238239238238238238238240243244242242242242243245245245247248248247247246246248247247246246246247247247248247248248249250252253254254253254256257259260261261261260260260260258259261261260259259256255255255255256257256255255257257259262260999999999999999999999999999999999999999999999999999999999999204208211212210210213213215214216218214217218221233237235232229226228229227229228235233233233232232233233231230227224224220227225226230231230231232234236237238241240240239245247249249250250250249249248249251251253255255254253252250248246243244242241240241245245243247245244243242243243244247246247247248249249250250250251250247244245241240243242240240238239240238236237238239238239239238238241241242241243241243243243244243244243243244244242240241243241241241241242243242241240241240241242242242243243243244245245246245245241242241238237238240238240241243242242243242244243243244245244245247246245245245245245244243242240239239238237237234234233232232233233234233235234233233234234234234235236238236235237237240242241242241242241240238238237238239237236236236235234234235235236237238239239240241242241239241240241240240237234235235234233233233233233231231229224227226225225227226227231230231231231229230230233231231232230229228227225222222221223225224225230232232231231231231232225228225223221220219218217217217214215217217216216218220220220221222223222222223224225224224225228230229230230231230227227224225226224225224224224226226226226228227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267272272273999999266265263262256253249248248246246248248248248248252254254252249243240238234233234238242244248999999999999999238241240238237235233236238239237235240240241240238237230228223221221219220222224226229232236239249999999999999999999999999999999999999999999999999999999999999999999999999999228229230231233233233236236237236233236237239240239241239240237236235235234236236235234233236237238238240236234236237241239240238241241240239238239240242243245246244243245244245247246248250249248248248247248248248248248248248249249248249250250252254255253253255256257260261261261262262261261260260260260261261260260257256255255255255256256257258257259258260261258999999999999999999999999999999999999999999999999999999999205207210212212211212212213215214215214217214217232237233233230230231230231230230231236238232234235229228228232231226224225226227228227229229231233237240243243247247247247245248249249250250251250248249247248250251253255255254254252249248249248247245247246246245244243247247245244247246247247248249250251250249251251251252253252250252249244243243241243240240242241242240240240241242241242242242244244243245245244245243242242244243244245244244245244244243245244244243243243243244243245244245246245246245244245245245246247245244243240241238237238241239242243241242242244245245245246246246246245246247248247247247247244244243242242241240240240240238237235235235235234234233233234234235235235236237238238237236237239241242244246244244243241240239239240238238238237239238238238239238239241242242242244243242243243242242243242241239235237236233233234233235236235235233231230228228230231232232232231230231230230230231231233233232230231227228225226225225226229229231231231231232232232231232230230226225222221220219217218218216214215215215215219220220220222222224224224225225225225228230232234234233234233234234232230228227227227227226226227228230230231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269273271269268265264255254253255255254253251248247247246245246249253255254253250242238235233229230238999999999999999236238239239241239238238239240241238239235235241242243240238237233237224220218218218219221223225230235239999999999999999999999999999999999999999999999999999999999999999999999999999999999226228229231233235234234234236238237239240239240241240239242238237236236236236236236236238239240240239238237237243239243241240241241241241239239242244245247245245246245246246247248248252251251247247248247249248252248249249249249250251252252254253253253255256257259262263262262262262262261261259260260260260261259258256256256257256256257257258259258259260259999999999999999999999999999999999999999999999999999999999206211212212212213214213212216217212218216216217226240240235232228229231230229229229231236237238238239233231235232230225230228230231232233234238240242246247248249252253253250253252250250252251251250249249249249250251254256256256255252249249249249249249249248247247246246246246246247247248248248249250250252251251252251253251252250248253242242243244243242242242243242242242241241241241241243243241242244245244244244244244243244244243245246248248249249248248248248249249247246246246246246247248249249249247247247247247245247245244242241240239239238240241243243243243244245246246247248248248248247246248248248248248247247246245244244244243242242242241241240239239238237237236235234236237237235239240241241237237239240241243244244245245245243242240241241242242241242242239240239242242242242244243244245244244243243244244243242240238237236236234235235235237237237236236238236233234234234233233233232232231229231231230230234232231231228227228228227226225225227229231230232235235235234234234232230227224222222221220223222219216216215215215217218220220221223223224225225226226230234233234235238236237237237237237236234233232230229229228228226228229229230232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270267270272269265264261255252251255254254254252253247246246246245246248253254253252247241237234232228224999999999999999999235243238240241242245243244244243242243243240242242241240237236233234228226222219215217219221224230237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227230232235234234233232236237239240240240241241240239239238237237237238237236237239237239239239239240242241241243242243243242244244244242243244244245245245250247248247248248249252252251249248249249250250249249250249251250251252253253253253253255256257258262263262262263263263263263262260260260261261260259258258257256257257257256256257258259260261262999999999999999999999999999999999999999999999999999999211212214213213212214214216217219219214219216217225236240239236232230231232233230229229232237239240237238236234234233231231239237239238241244244246246248249250251253253256257257256256256254252253251251251250252250252254256256257256256254251249249249251250249247247247246246246246249249247248248248250250252251251251251252251252252251249252247246246243244242243243242242242242242243242243244243243242243244244244243244244245246248249251252250251252254252253252250249250249248249249248248248249250250249249249250250250248249249248245244242239239236238241242241242243245245247248249249250249249248249248249249249250249248248248247246247247246246245244244244244243242241241241239238239238238239239242242242242240240240242242243245246246245245245244245245245244243242243242240240242243243244245245245246246247246245244243246244242240238237235234234235236235238237237236237237237237236235235235235235233233234232231231232232230232231230229230229228227226225223227230232232233233235236233235235234232229230226224224227222223220217217218218218219220217219219222223224226229229234236235235237238238237239238238238236238236237236234232232230230230231229230231236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263268269269266264262260258256253251251253253251247246246246246246246248252251253252247242238234235234232234241239239238238239239241243244245245246248247248246249245245243243241239238238236236236231226222215214217219224231239239240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229231233233233231232235238239240241241242241241242239239238237238236238238235238239240240240239239242243244243243243245243243242242242245248247249247249253250252251251248248253253252250250249250250251249250251250251250252253253253252254255255256259262262262263264264264263262262262261261261261261259259259259257256256257258257258259259260263263999999999999999999999999999999999999999999999999999999999212215215212213216215216221221221221222223222230236243241242237234232232232234234233231233234235241236237237234233234235234240242245247248249250251250253255254254255257257257257257257258257256253253253252254254252254255256257258257257256253252249247250249248248248248248247248248251250249250250250251251253251251250251252253252251252252252250248247245243244243243243242243243241243243243244244243243243244246247248250250252252252255255255255255257258258255256255255253254255254252250250251251251251250250253252253253251250250247247245240240239236238241240240242244243246248250249250251251251251252251251251251252251251251250250250250250248248248247247247247247246244244244243242241241242242242244242242242243242245244244245243245246246246248248248248247245244243246246245245245245245246246247247246247247247246246247246244243241239238236234234235235236238236236236235237237237238238237237237237235236235234233232232233231235231231229230229228225225223222226229231232232234234236236236237235232232231229229225227225222223220222224220220221222222223224225225227230233234236236237239240239240240241241240239239238239237237236234234233233232230230232235236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272265270270270268267266264257255252251251251252249248248247247247247246246249250249249244239238234235237239240241242242242244245246246246245245245246246246246248248247245244244244242241239236237236234228222215213216221227232234233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232233232232233235239239240241241242242242242239240240239239238239234234236238239240239238239243242243241243244245244244244244244245249251252255255253253251251252251251251253251250251250250250251250251250250249249251252252252254254256257260260261262263263264263263262262262261261261262262261258257259258257256256258258259259261260261263999999999999999999999999999999999999999999999999999999999215217212214213213217218218221219221221223223228232241244242241238233236235234234237236235235233235244242240240237237236242245247249250249249252252256255253256255256256256255256256256258258259258256256253255254255255253253256258258257257256255253250248249248249249249249249250248248249250251250250250251251252251251253253251251251251254251251252252246247245245245245244244244244243244243244244245243246248250249250252253253254255256257257257258258258258258257258257256256257256256254253252255254253252252253253253255254254253248245247244241242239237238240239241242244246248249250251251251252252253253254253252253253253253253253252252251250249249247248248249248247246246246244244244244244244244245245244244244243243243244244244244245247247249247247248247247248247247247247248245246248248247247247249248249248247248247247247247245243240239237234235236236237238237236237235237238239239238239238239238237236235235233232232234234234233231231231229230226225225226227231233236235234236237237237237235236234233232232227230227225227226226226222223223224225226229230231232235236240239238240241242242240241241241239237240241240239238239237235234234235235234234236237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272271271272271271264266258256254250249254254247247247247247246247246245249249249247244242237235233236238240242244246246248247246245244244244243244245246246246246245246245242242241241240236238236235230222214214217220223227241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228231232231235234237239240240240242243243243242243242240240238237238238238239238240240240241243242243243242244244244243246246249249254254256257257257257253256255254252252251251253251251251252253252252251250252251251253252253255255256258260261263263264263263263262262262262262261262261262261258257259258257257258258260260261262259261261999999999999999999999999999999999999999999999999999999999222221219217215218216215218219224226227230230233239244243242241241236237237235235236238237236236236242243241244238238241248251252252251251254254255256256256255255255255255255254254255257257258259258258256255254257256254253255258257257258257256254256254252252250250250251250250250250249251252252251251251250252252252251254254254253254255253253255255253249247246247246245244242244243244244244244244247248251252253254255254255256257258258261261261259258258258257257257258258256256256254257256256255255253254253254255256255253253253250248245242241240237237240240241243246248249249250251252253253255255255254253253253253253252254254254253250251248248249249249249249249246248248246244243244246246245246245246245246246248247247247246246247246249249249248248247247247248247247247248248248249249248247248249248249248248247248246248247247244242242241239240238238239239239238238239239239239240239239239240240239238238237235233234235235235233232231232230230228227228228229232234235236237238238238237236241239235235233230230231228226227226226228227226227228229231232235235236238239241241241242243243243243242244243243240240242241241241240240237238238238238238238238239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272273274273273267265263259255253250250249247247246246247247247246244247247247244243241238235233236238240243246247247248246245245245244245243243244246246246246245246245244242240242240239236237235234227218212215217222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229234234233235237240240240241242243242244245243243243240239239239239239239240240241240241243244242243242245245245246248251251253256256258258258257256255256254254253251248251253253253253254253253253253254254254254253253254254256256258259261263264264264263262262262262262262262261262263262261258260260258259257260261261260261261263999999999999999999999999999999999999999999999999999999999999224222221217218221223222226229231234233236238238243246246242243243242241240238240239240240240240242244243242244246248252253253253253253257257256256256256256255254254254253252252253253255256258258259259258257254256257256255256258257256256256257257257256255252251250250251251251251252251251251253253253252253252252253253255255252254253255255255254254254252250248248247246246245244244245245245245248248250252254255254254254256257258259259260260260258257258258256258256257256255254253254254255254253252252255255255255255252249250250246245240240238237233234238241242245248248250251252252253256257256257256256255255255255255254255255254251251251251250249249248250249249248249247247246245246246247246246246246248248249247248247248248249247247248248249248249248248248248248248247248251250251251250249249248249248250249249248248247246247246245242242243241239238239238239240240241240241240241242242241241241241239238238236233233234233233234232234234232230234230229229231232234236237240239239238238242241236237235234232234230230229229228228232230232233234234236238239239241241242243242243244245245245246244244243244245246244244243242241242240240240239239239238238239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268272269272267273270268259259255253251247248247248247247245246246243245244243242240237235230228230237240242244246246247245246247247248246244245246247248248248247247245244244246244241238235234234232231220214214219221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228232234238237239240239239241242243243243243244241242241239240239240240241242242242241242242243243243242244244246247252254256256257258259258257257255254255255255254252252254255253253255254254254253254255255255254254254254255256257258261262264264264264263262262262262263262261262262262264263259260259260260259260262262261263263259999999999999999999999999999999999999999999999999237243241999224225222220223221223222224229228232238238237242246248248245244243243243243241242245244246245247247248247247249252254255255255256258259258259259258258257256256255254254252251251251253253256257257259259258258257255256257257256257258256257256256258257258258253253251251252251251252253252251251253253252251252252253253254255254256256256256257255256258256254250251250248247247246246246247246249251251252254254256256254254255255257258259260262260261260260259257257257257255253255254254255255255255254255256256256256255255257256254254252249249246244241240239241241244246247249249250251254255258258258258258257257257257257257256256256255253252252250250250248246248248248248248248247247247248249250249249250250250250249249248248248248248248248248249250249249248248249249249248248249250250252251251249250249250249249249249248247246246247247245244244244242241242242240242241241241241242243243242244243243242242243242239238234234236235234234233235232233233233230230231232232236237239240240240240239243242240236235235234234233232232232231234234236237237238238239234233242236235236236237239246246246246246244246245246246247244245243243243242243242241241241239240240241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276277282280276269270268261257252253250246247248248247246246245245244243241239237235231228226231236237239241242243245246246247248248249246245245245246246245244243242241244242237238234235232232230230219215216218221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235239235237240240238240243245244243244245246244244243243244244243243244244243243242239242243242245244244248247254256257258259256259258258254255257254254256255256253254254254256253254254255255256255254255256254255254255257258258261260263264264264263263262263264263263263263263263264264261259999261262262262263263264264264262999999999999999999999999999999999999999999999235240241240234229227226224226225232231226230233237238236240244243244250248249246245246247245245248248248249249253253255256256255257255259261259262262260259259259258258258257256255252252253253253252253255256257257256256257258257256256257256258257256258257258259257259258257253252252252252253253253253253253253253253253253253254254256257258259258257257258259257257256254255252251250250250249249249249251251253254255256256256255254254255257258258260260261263259260260259258258257257256254255255256256256256257254254255256255256256256257256255252251249250247246244241241241242242246248249251252254255255259259259259258258257258257258258256254254258255253252252251250249249249249249249248248248248250251251252253254253253253252252251249249250250250250249249249250250250249249250250250250249250251251252251251250250249249248249249249248247247247247247244246247245245244244244244244242242242243245245247246244245243244244244242239237236238237237238236234233233233233231233232233233235237238239241239238238238240240241237237236235235237235235235236235236237238241242242232235245245245245246246247248247247247248249248248248249250247248246245245244243245244243243243242242243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290280270267274274999252254252251248249249248248248247247245243242239238235231232227232235239241242242243246246247247248248247246245244244245244244243242241243242241240237234233232229228227217216214217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230235240242237238237238242247246245245246245247245244245246246247248247247247244244245243243243245247246247251252255256258260259258258260257258256255256257256256255253255254254256254255255256257258258257256256256256257257257257258261262262264265265264263263264264264264263264264263264263262999999260264265264263264265263263999999999999999999999999999999999999999999999238240239241237232230231231234236237235232233234237239239240246243243247249251252250248249250248249251253254255255254257258258259260260260262262262262262259259258259258259258258255254252252252254254253253253254256256257257258257257257258257258259257258258259259259260259258257254252254253255255255256257257256256255257258259258261259257257260259258258260258259258258256257257256253252251252253251251250251252253253256255255255255255254255256257258259260261261261261261260259259257257256256256256256257256257256254254254255254256255256256253253250250247248246247245242240242243244247249250251253255255257258259259260260260259259259260258257258258257256254253252251250250250250249250250249249249251252254256256256256257257256256254253252251250250252250250249249250251250250250250250250251251250252253254252252251250251250250249249249248248248248249249247247248247245243243244243243243243243247247247248247245244247245244244243240238237238238238238236235234236233232234234232234236238238241241239241241240240239241240238238236235236238238238239239239240241243244244245245246246247247246249250250250250249250250250251250250251249248248247247246246245245246246246245244244244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258255256252252252249250250250250249247245242241238236233229230235239240241242244245245247247248247247245245243243243244244243246246245245245248243240241238231230227221215212216219225228999233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237240242238237240245246246245246246247248246246246246248248248248248248247248247243242244245245247248251254257259259257257257256255258258259257256260257257256255253254254257255255257258260260258257256257257258258258258259260263263264265266265265265265266265265264264264264263264263263999999999264266265265268264261999999999999999999999999999999999999999999999999240241241241236233232231230236238236237238240240240243242241247241244248251252253253251252253253252254255255255257258259259257259261261261262263263264262260259259259259259258259256255253253254254254252252253254254256256257258258258258258259260258257258260260259259259260259257257255255258260261261262262262260260259259259260259260261262262263262262261263263262262260259258257257254254254253253253252253253254255255255255255254255255256256257257259261261261261260260262260259258257256256256255255254254255256257258258256256256256257258257258256256254253252251249248247244243244246248249250252253254256257258259259259260260260260261259260259259257257256255253253252252252252252252253253252252253254254256258259259259260260260259258256255254253252251251250249249249250250250250250250251251251251252253253252252252251250250250249249249248249249248248246247248247248249247244245245244245246246246246247248248246247246247246245244242239238238238239239238236237236236235236235235235236237238241241244241243242241242241240239239239238240240241242243242243243245245246246246247247248249251251252252252252251251251251251251251251252251251249249248249248247248248247247244246246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257254255255254254254250253253252251247246245245238237233232234234240241243243243244246246246246245246243243242243242246244245245245248246245242239237234230226223214219215221227227999999999999999999246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236239238239239243244246248246247249248248247247248247248248248249248249249249248246244245246246248250253257260259258256259257258257255255257256257256256259257257255255258258256257258260260260259258257257257258257256259259261263263264266266267267266265265266266266265264264265265264263999999262265264265269267999999999999999999999999999999999999999999999999999999239239239240237233233231229239241241241242242243245245246248243242246248250253254255253253253253253256256258257259259260260261262262262263264264264264263261259260259259258260259258257256254254254254253253253254255256257257258259259258258260260259258260260258257259260261260260258261262263265266266265264264263264262262261262262264265266265265265267266266264265262260261259259257255255255255254252253254254255256255256254254256255255256256256258259260261262261260262261260258257256255254253252252252251253253255258259257256254256257258259258257256255253252252252250249246246246247248250250252253254256257258259260259259259260261260262261260260259258257256255255255255256257258258258258257257256257258260261262263263263262262261261259258257255254252252251250250249250250251250250251252253253254254254254254254253252252252251250250249250250250248247246247250250250249249248246246246246247246247248248247246247248248248247248246243242240239240241238238238237237239234233236237236237237237241243243242244241242243241241240241241243244243245244245246246247247247248247249249250251252253253253253253253252253253252251250252251251251251250249250249249248248248247246247247248247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256260258257259259258257254255255254253253251253248999999240237232232234237240241242244245244246246245245245245243244242245245247248246245246244244238239237236232229224218217221225226229239999236238243243251248248999253252999999999999999999999999999999999999999999999999999999999999999999999999999236240239243240242242245246249250249249248248249247249249248248248251250250247246246244248248251252255261261259260259260256257257257257257259258255258258258257257259259256256257259260259259258255257257257257257259259260262263263264266267267267266264265267266265265263265265265265264999264263265266267999999999999999999999999999999999999999999999999999999999999999236239235234235229231235239241243244245246246247245246244243246248252253254254253253253254253254256258259257258259260261261262262262263264264263264264264263262260260260261261260259259257255254253254254253254256257258258258259260258259261261261260261261260259259260261260261263265266268268268267267267266265265264265265265265266266267268267270268269268266265266263263260259257257256256256255255254255254254256257255256254255255255256256256258258259262262262261260260260258256255253253253252252253252252253254254256257257255256258258259258257256255254254253253251251248247248249250251251253253254255256258259260260260260260261262262262261261260259258257256257257258258259259259259260260260261260261262262263264264264264264264263261261260258256254253252251250250249250250251252252253254255255256255255255255254254252253253252251250249251251250250250249250252251251250250250247247247246248247248248249250249250250250249248247245242240241242240240239239239238238237235236237237238238237241244244244243242244244244243243244245246246247246247247248248248249249250251251252252252252254254254254254254254254253253253252253253253252250252251251250250249249249249250249249248247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254261259262262261260259258260257257257255999999999999999242238236236235237238239241243243243243243244243242243242243243245247246246246245245245241241241243240236232227222221226227229232235238239240243244248253249259255999999999999999999999999999999999999999999999999999999999999999999999999999999238241237238242247248248248249250250249250249248249249249248250250250251249248249249250253256261262261258256261262260261260258257257258260260256260258258260261262259260261260261261260258258259258258258258259259258261262263263265266267267266266265265266267267265264265265265264265263265265269271999999999999999999999999999999999999999999999999999999999999999999238237237234234230233237239242243244245247245243242245241242250251253253254254256256257255255256258260259259261261263262261262263263263262265265265265265266264262262262261261260261261260257256256254254255256256258257258258259261260260262263262260263262263264263263266266267268269270270271270269269270268268267267267267267268267268269269267269267267268268267266265263264262260259258257257257257255253253253256256255254254254254253254256255255256258260262261263263261261257255254254253253252253252252253253252252253255254254254256258258257257256256255254254255254252252251250250251251251252253254255256258259259259260260260262263264263262261260260259258258258258259260260259259259260261262262262262263264264265265265265265265264264263262260259256255253252251252250251251252252253253254255255255255255255255254254254254253253252253252253253254251251252252251250251251250249250249247248248249250250249250249251250250250249249248244244242242241240240241240240239238238237238239240239238240244244243245245245244245245246248248250249246249248249250250251252252253254254255256256255255256255255255254255255254254255254253254254253252252251251250251250249249250249250250249249251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263263259260264265264263263261261259260999999999999999999999999999240238237238239239240241239239241242241241241241241242243243246246246246247246243241242243242240239237232229227229228228232238240242244248244246249249251251999999999999999999999999999999999999999999999999999999999999999999999999999999999239240238244248249248248249250251249250250250250251251249252251251251251251251254254256260261261259262259262261257260260259258257259258258260261258259260262264264262263262260260259259259259260260259258259259260263264264263264265267267267267267266266268267266265267265265264264264264266269273999999999999999999999999999999999999999999999999999999999999999999238235238228234234232233239240242241242241241242241242250248251255255252254257258257257258258258259260260261262263263262263263264264264264265266266266266266267265264262261261261261262261260259259258258258258259260260260260260260260261262264266267266265266267268267267269271272272270271270271270271270270269270268267267268270269270271271273272271271271270270269269268267265264263260258259259257257255254255257255255256255256255256255255256257258259259261264265264263260258256254254253253253252252251251252252253253255255255255256257257257258257257256255255255255256255254252251251252252253253254256257258259259259260260260264265265265264263261260260259259259259259260259260259260261262263263264265265266267266266267266265264265264264263262260257257256254254252252252252253253253253254254254254254254255254253254255254254255255255254255255255254255253252254253252252252250251251251250249250249250251252252252251252251249249248246246243243241241243242241241239241239239238239240238239240243243245245246247246246247248249248250248250250250251252252253253253255255256256256257256256255255254255256255254253254254253253254254253252251252251251251251250251250251251251251251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265262259264265266266266266264263262262999999999999999999999999999999999237241241241240239240238240239238238238241242241242242248247246244244244244244245245243243241239237235234233231234236239240243245240243245247248255247253247247999999999999999999999999999999999999999999999999999999999999999999999999240240243246250250250250249251249251250250250253252252252249249248249249254255257255258260257259259259257261258257261258257256255256256261258261260260261263263264263262262262260259260260261261260260260260261262264264264263264267267268268267267267268268268267266266266265265265265267268268999999999999999999999999999999999999999999999999999999999999999999999999237235231240234235232236239242241243241242244244251251252252254255255258258258258259259258259260262263265264264264264264263264263264265265267267266267267266266266264263261261261262261262262262262262262262262262262262262261261261262263266268267267270270269270270270270272272271271270270270271270271272269270269267267270271271273272274274272268271270269267267269269269268267266263262260259257258258256253255255256257256255254256256256256257258259259261266265265264262259255254254254253256257252252252251253253254255256256256255257258258258258257257257257257257257257255255254254253253254255257258258259260260259259260261266267267266265264261260260260259259259259259259259260260262263263264265266267268268267268267266266265264263263265264263261259257255253252252252253252253254254255253254253253253255255256255257257257257257257257257258256256255255255254253254254252252252252253252251250250250252252253253253253251250250249249247246245244243244243243241241240241238241240241241239241242242245246248248249249248248249250250250251252253253253254255255256256258258255256256255257256255255254257256256256257254253254253254252252251252252251252252252251252251251250252253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265262260263267268267267265266265266999999999999999999999999999999999999999999999999999999999999999999235233232233236240241241245247246246247247245243245246246248246246243240239238238235236238240241240242241242243242245248246999250999999999999999999999999999999999999999999999999999999999999999999999999999999242241243247246250252249247247249249250249253251253249251251250252253255257257256260261260258262260260261261260259255255258258257259262261260260262261263264264264263263262261261261262262261262262262260261263266266265264266267267268267267999999268268269269268267266267267266267267268999999999999999999999999999999999999999999999999999999999999999999999999999234234232235231232234238244244244246245245246250251253256255254258258259260261262262262261261262263263264264265264265265263265266266264265267267266267266266266268268267265263262262262262262261263265264264264264263264264261262262262264268269269270270271271271271272271271271270270270270270271271272273272268271270270271271272273273272273270269269270268267266267268268269268267266265264262260259258257257256258257257255256256255256256257257258260260262265265266264262260256255254254254253253252252253253253254255255256256257257257259259259258258258257258258258258257258259258258258257258259260260260260259259259259260263267267266266265264262261260260259259258259259259260259261264263264265266268269269270270269268267267266264263263264264264263261259257254253252252252253253253254254253254254254255256256258257259259259258256260258256257255255253254254253253253253253254253253253252253252251252253253254253255255252251250249249250248247248245245244245243242243241241242240240239241242242242243245247249248249250250250250250251251252254254254255257258257258259259258257257257257255256255255257257256256256255255255254254253252253253253253253253253253253252253253253254252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261266267267268267266269999999999999999999999999999999999999999999999999999999999999999999999999999999999226231237241242244246248246246246247247247248245243243244244244244244241239238239239237238238241240240240241243245250253255252999999999999999999999999999999999999999999999999999999999999999999999999999242242248246249256247247249250251253249251251252252253253253255255255255256258261260262261262262263264264263262259256260261261262262261260260262261262263264265264264262262262262262263263262263263263263264265265265266266267266999999999999999269269269269268268267268267267267999999999999999999999999999999999999999999999999999999999999999999999999999999999234237235232233234235241245245245247246246250252254257257256258260262262261261262263263265265263263265265265265265264264264265266266266264266267267266266267267266268268267266265264263262262262263264264264264264264264263263264264265268269269269271271271271271271271271270271271270271271271271271272273272272272271271271271273274273271271268267266267267265264264266267268266268267265265264262260259260259256256259255255256256256256256257257259261259260264264264263261259257255254254254253252253253253254254255256256256255257258256257260259259259259259258258259260260260261261261261260261261261261261260259259259259260264267267267267266265264262261260260260260259259260260262264264264265266268269270271271271270269269268267267265263263264264264263261257254253252252251253253254254254253254255257257258259260258260259259256256256257254255254253254254253252252252253254254254252253252253252253253254253255252253253251252252251250250248248248246246245245244244243242243242241241242242242243243244245247247248249250249250251251251252252254255255256257259258259257257257259258258258256256256256257256255255255255255255253253253253253253253253253253252253253253253254253254253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275271271272272272270271999999999999999999999999999999999999999999999999999999999999999999999999999999999226230234239241243244246245246247247249249248248250248247243246242241240239238236239238235237239239237236238238243246249255252999999999999999999999999999999999999999999999999999999999999999999999999999243243244245244247249247249249251249250251252251252254255255257256256256257259260262263260259259259264262262259259259261262263262263262261262260264263264265266263265264263264265266267267265265266266267268267267267264268268999999999999268268269270270269269267270269269269999999999999999999999999999999999999999999999999999999999999999999999999999999999230234235236238238238239245246247249249249251252253256257258258261263262261262264264264266264265265264264263265266266265265266266267267266266266267266266267268267266267267267267267267266264264264264264264264264265265265265265267268268270269270271271270270270271271271271272270272271271271271271271272273272273270269269271271272273273272270268268267267266264263264264264265266268268266266265264263260259260258259259258258257256256257257256258258260260261264266265263261260257255255255255254254254254254253255256257257257256258258259259260260260259259258259260260261260261262263262262262262262262262261261260260260260261266268268267267267265264262261261262261262262263263264266265265266267269270271272273273273271270269270269269267266264263263264263262259256254253252252252253254253254254255257258259260261261258258258258256255255256254254252253254253253253253254254254254254254253254253254253254255254255253254255253253253251251251250249248247246246246246245246245243243243243243243244244243245246248247248249248249250251251252253254255256256258258259262262261259259259259259258257257257255257256255256256254254253254254254254253253253253254254254254254255255254254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270273270270270270999999999999999999999999999999999999999999999999999999999999999999999999999999999230227230232238241243244243246247247248249251252252252252251246246246247243242238237240239238238238238234234238237241244247250999999999999999999999999999999999999999999999999999999999999999999999999999999999244245245246248249250250250251252251252253254253255256256257257256255255258259258260259259261262263263264262261262261262262261261262263263262263264264266267267268265266268267268269268268269268268269268269269269269269270999999268269269270270270270268268266270266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230233236238239242239242244248249247248251252253254256257257260260263263265263264265264266264265266267264263265266266265266266266266268267266266269268267268268266266267266268268268268268268268268267266267267267267267266266266267269270270270269270270271271270270268270271271271271272272271270270271271273273271272270272271272272273273271269267268267266266265265264265265265266267267266266267265263262261261262259258258259258256257257257257258260261260260264265265263262260258257256255255256255255257259255256256257257257258259259260260260260260259259260261261261261262262263263263262263263263262262262262261261260260262267268268268267267265264263264265266266266267266266266266266267267269270271272273273273272272271270270269269268267266265264263263263261257255254253254253253254254255256258259261261261261260259260258257256256255256253253252252253252253252254253252252254254253254254254254255256256256257255255255255255255254252252251250249248248248248248246247246246246246246246247247245246246247247248248249249250251251251252253254255256257258259261261261262261260259259258257258257258257257256255255255255254254254253255255253253253254255255256255255255254255256255254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230232235238240243244245245249249248248249253251252252253251248249249247244241241242239239238238236234234235238242243248255258999999999999999999999999999999999999999999999999999999999999999999999999999999243244245245246249249251251252253253254253254255256257257258257256256255259259257257259261262264264265266264263263262262260261262263263259262264264265267267268268268268269269270270270270270271271272270271270270270270270273999999999268269270269270268267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232233234240244245243242246248251251249251257255255257259259260260262263263265264262265266264265266266265266265266266266265266265267266268268267269267268268267267267267268268268268269269270270270269270269269270269269269269269268271271270270270270271270270269270271272271272272273272273272271271272272273273273273272272271272273273274272270269267267266266266265265264265264265265265265265265265265264263261261261260258259259257256256256257258259260259260265266263262261260258256256257256254255255256256256257257257258258259259259260259260260260261261261261259261260261263263263263263264264264263263263262262262261261263268268268267267266265265266267266267267267267267266266266267268269269271272273274274273273272272271270269269269268267266265264264263262259256255254254254254255256257259260262261262261260260260259258257256257255255253254254254253253253253254255254254253254253255254255255256256255257257256257256256255254255253252252250250249249249248248248247247249248248248248249248248248249249249250250251251251251251252254254255256257257260261261262261262262260259259258259259255258258257256257256254254255254254254255255255255256256255256257257256256257257257257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228232235237238239243245244247249248249249251252252252253253252251250248249255254252251241236238234233234233234235237999245999999254999999999999999999999999999999999999999999999999999999999999999999999999999244244243244247248250255256257254255257256256255257258258257259258259259258260261259261262265265265265267267265264262263262262263262261262263265265266268268269268269270270270271270271271273273273272271271272274271271269272999999999269268268264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233232233239241247247247250252254257255254253256258260260260260261261264263263266263265265265265265265266266267266266266266266266266266267268268268268268268268268268268267268269269270269270270271270270269269270270269270271270270272272269271270271271271271269269269271271270270270272271272271272272272271271274274272272270272272273273275275273268269268268267266266265264265265265266266267265265267267266266265263262262261259259260260260261261261261262261262265266266263262262260259258257257256256256261256256257257258258259260260260261261261261261262262261261262264264264265265266265265265265264264264263263263262261262265268269268267266266267267267267267267267267267268267267267267269269270272273274275273273273272272271270269269270269269268268266264264262259256256256255255255256257260261262263263261260261260260260258258257257256256255254255254253253253254255255255254254255255255256257256256257257257258258257257257255253253253254253252250250250250249249249250250251251251249250251251251251251250251251251251252252251252254256255258258260259261262262261263262261262260259258260258257257257256259258257255255255256255255256256257257258257257257258259258258258258257257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255252249244999999231232234236236238242243246246247249249248250252252251255254252252248251251251250250246249245240236235234235232232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244244244246248249251251252254255255254255257256258258259259259260261259258260262260262264265266265267268268266265265263262262262262262261263265266270269269266269267269270271272271273273274270273274275273274273272272272275999999999267272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236236235240239242245250252253256256260259257257258260263260261263261263264263263266262264266264265265265266267267266267268269269267266268268268268268266267268267267267267267267269269268270270271272271270271271270270270271271271272271272272272271272272272273272271272273273271271272273272273273272273273273273273274274273271271272271274275274272270269268267266266267266266265265265266267266266266266266267267266264264263263261260260260260261261262262262261263265266266265263264263260259258258258257257257257257258259259259259260261261262261261262262262263262265268269271271271271271272271270269268268266265264264263263263266268268268267267268268268268267268268268267268268268267268268269270271273274274274273273273273272271270269269269270270269267266264264262259256257257256256257258260262264263262261261261260260261261262259258260259259257256255253254254255256255255256256256256257256256256256257258257258258258257257255254254253253254253252250251251251250250251251252253253252252253253253252252253252252253253253253253253255255256257258259259261262263262262263263263262262261260260259259259259258258258257256257256256258257258258258258257258258258259259259259259260259260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257254254254250248243236233235239240235238240242245246249249248250251252254252253255254255254251255253253252251250250250244238238236234232233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245247249249250251252253255254256256257258256257258256260257259259259259260262262264265266265266267268268267265264264263263263263262262264264266266265269266270270271271272273271273275275274274275276276275275274274272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236242235242241245248252254254256257261262256259259259262262263263263264265264266265265267267267265266265265266266265270269271267266265267270270267267266267269268266267266266267268268268269269270271271270271272271272272272272275275275273275274272271273273274274274274273273273273274273274274276275274274274274274274274273272271272273274275272272269269269270269267267266266266265266265266266266266265266266267267267265264264264262263261261262262261262262262263266267267266264264264263260259259258259258259259259259260260260261261261262262262262263264265269271273275275275275274275274275274273274273272271269268266265265263265267268267267268268268268269269269269268267268267268267269269270271273274274274273273273273272271269268268269270271271268268266264263263261258258258258258259261263264264263262261261261262262262262261260261260260258257257257254257256257255255256256255254255256256258257256257257258258258258257257257256254254254254254251252252251251252252253253254255254254254254255255255254255255254254255254254255255256257258258260260261263264264264264263263263263262261261261260260260259259259257257257257257258258258258259259259259259259260260259260260260260259260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262263261260256253253250247245243240240240243241238239240243245246249247248252251251252252251253253253253254255254255255254251252250245237237240237237242249999248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244243247250251251254254254255255253258256255253258259259257259259258259261262263263264266266267267266267267265267266265266265265264264262261263265266268269270270271271272272272274274277276275275275275276276275274274271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237239244240244241247242251253251257257260260263262262261261263264264267266267266268270270270268269270270271269268269270271270273267271266265268268268267267266267267267268267268270270271271271271270269269270270270271273274273274274275274274274274275275274275275276276276276276277276278277277276277277275275273273273273274274273272272273273274273274273273271270270268267265262265263264264265265264265264265266266267268267267265265264263263263262261262263261262264265267267266265264264265263261260259260262261260260261261261261262262262262262262263264267272274274276274272274274277276276276276275275275274273272271269268266264265267268268269269269269269269270270270269268268267268269269270271273275274274273273273273272271269267268268269270271270269268267265264263261259259259259260261263264264263263262261262263263262263262261261261260260259259259257258258257257257256256257256256257257256256257257257257258259258258257258257256255255254254254253253254254254253254255256256256256257257257258258258257257257256255255256257257257257259259260261262262264265265264263263264264263262262262261261261261260259258258258258257258258258259259259259260260260260260261261261260261261261260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262265263262260257255252250250249247245245244243243242240240245246248249249250252256255255251253253252253253253254255255256256255257261255252244245246240238243248245260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246246249251254253253255254256256256254258256260261260261259259258261262258261262263265268269269270268267267267267267267263264263261262260265266266266268269271271271272272271272274275275275275276277276276276275274274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243244244243247247254256254258260259260262264264265266266269271270271270271271271273270272273269271270269269267266265268270270273272272272272271270268267267271270269268268269269270269270270270270270269271271271272272272275275276277277277277277277278277277277277278278278279280280279278279277278279278276275270271270273273272271272273272273273276274276274273270269267266265267265266267267266267266266266266267268269269268266265266265265265265264264264263262264268268269267267265264264264263262261262262262262261261262262262262262262262263265268270273274274274275275274275275276277277277277277278278277276275274272271269267266268269268270270270270270270270270270269268267268268269269270272274275274274274274273273272269269269269269269271271270269266265264263262260259259259260262263264264264263263262262262263263262263262262263262261260259259260260259258259259258257256257256257257257257257257257257258258259259259259258257258256255254254255256255256256256256256256258258258260259259259259259259258258258257256257257257258258259260260261262262263265265265265264264264264264264263263262262261261261261260258258258258257258258259260260261261261260261260261261261261261261261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264263262258256255254254252251250248246244244244243243243246246250246248249251253250255253252250253252255255254255257257258257260256255255252253248245244246246249258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245247250252253253252253253254257256255256256257257256257258259260260261261262263264267268269269270269267268268267268263265265262262264265266267266266267267271271272272273273274273276275275277277277276275275275273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242245243244249249249250252257254258260261260263266266266268269272271272272273274273273274273276275274275275273274274272271272271273275272273272272273272269269270271270271270271270268270268271270270270270270272273273271276277276278278278278278279279279277278277277278279280280280280279280280280280279280279277273272273273273272271271272273272273274276276276276274270270270268268270268267267267267266266267266266267268268268268267267267267266266265266264264264263266269269269268267266265265265266266264263264264264263263263263263263263263265267270271272273274274274275274275275277276278278278278279279278278278278277275274272270269268269269269270270270270270270270270268267267267268268269271274275276275274274274273273271269268269269270271271270269268266265264264262261260260261263263265265265263263263264262263262264264263262263262262262261260260261260260259260259260259258259258259258258258258259258259259259260259260260259259258256256256256256257257257257257257257258259260260260260261261261260260259259259258259259259259259261260261262262264264264265266266265264265265265265264264263263263262261261261260260259259259259258259260260261261261261261261261262262261261261262262261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267266265264261256256256256254253252251248244244244245244244244247247249245249250251250251253252254256253253254255256256260260262261262261260258259259253248247246247249252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247247250253252252253253253254257257256255255257258260260259258260259260261263265266268267269268269267268269269268267266265267263267265267268268268269270269270270271273274274275276276276277277276277276275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244243244250251252253257260258259259260263264266266270268269270272273274276276275276276277276276276277277276274275275275275276274276275274274273273274273272272271271270272273271270269270270271270271272272273274276275273278279279279276276279279279279281280280278280279280280280280281280281281281277280276280277273273274275275273272272272274271274275275274277275275275273273269271270267268268267267266267266267267267267267268268269268268267266266265264264264264264268270270270269268266266266267267267265265265265265264264263264264264265266267270270272272272273273274275276276278279278278279279279280280279280280280279278277275274272270270270269269270270270270269269268267266267267267268270272274276275275274273274274273271270269269270270271270269268267266265264263262262262263264265265265265264264263263264264264264264264264264264263263262263263263263261262261261261261261260260260260260260259259259259260259259260260260260260259258257257257257257258258258257257258259260261261261261261261262262261261262260260261262261260260261262261263264264264264266266266265265265265264265265264264264263263262262263262261261260260259259259260260261261261262262262262261262262262262263262262262263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262265267266262259256254255253251251253250247244246246245244246248251254254254255255254255256258255256258257254256260259260262262263263263263263263262261253245240246246249252257999999999999999999999999999999999999999999999999999999999999999999999999999999999999250247250252253253253254254255257257256258258259260259259259263261261262263264265266267266267269268268269272272269999999270270269268266267268267268269269270271271272273274275276277276277277277277276275273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242246249254254255258260262263263261265265265266268270270273275274278278276278280279278278278277277277277278276276276276276278277277276276275275276276276275275275272272272271271271273273273272275275276278277277277277278279280278280279280280281280280281282281280279280281281282282282283280281280279279280279277276277276275275274274273274274274273275274274277277277277278276275273275273272271270269267268267268268268267268267268269268268267267267266266265266265266269271270270269268267267268267267267266266266266265265264265264265265267269270271273273273276274274275276277279279278279279280280281281281281281280280280279278277276275273271270270269269269270269269268267266266266266267270272274274275275275274273274274274273271269270270270270270268267266265265264263264265265265266266266265265265265264265264265265264264264265264264264264263263264263263263263262262262262262262261261261261260260260260260260260260260261260262262261260259259258258258258259259259258259261262261261261262262262262263263263263263262263262262262262261262263264264265265265266267267266266266265265265265265265264264264263263262263262262261261260260261260261261261261262262262262262262262262262263263263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267999999999999261264264264261259258259257256256255252249246246247246244244245247250254257259259260261258260261262260259260257259260260263262262263263262262263262262259254250250249252255261260999999999999999999999999999999999999999999999999999999999999999999999999999999999999249248249253252253254255255255257258257257257259260260261263263263262263264265268269267268268271271270272270271271270272272270268269267267268267268269270271273272272273274275277277276277278279278276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247251252254258258261260262263257264262268268270275273276276278277278279279279280279278278278276278279279279279278277278278278278278278278278277278279278277277276276275275275274273273273274274277278279279280277279280280280280280281281282282281281280282282281281281280282281282284283282282279279280278279281279277276277276276275273273273274275275274274275276276278279278279278278277277275274271271269268267268268267267267268268269269269268268269267267267267266268271271271270269268268269269268267267266266266266265265265266266267268269272272274273273274274274274275276279280279279279280280280281281281281281280280280279279278277276274273270269269268268268268268267267267266267267270272274274274274275275274274275274274273270269270271271271270268267267266264264264266266266266266266266266266266266265265265265265265264264264263265264264264263263264265265265264264264263263263262262262262261261261261261261262261262262262262263261260259259259258258259260259259259261262262261262262262263263263264264265265264264264264264263264264263264266265265266267268267267267266265266266265265265266265265265264263264264263263262262262261261262262262262261262262262262263262263263263263263264264265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267265266263263263264263261260261261261258257256255252251250248249248247249249251254258260262260262262262263263263262263261258260259260261262261262260261260261262260260258257253251254259265259263999999999999999999999999999999999999999999999999999999999999999999999999999999999250251250251252255255254254256257259259259258259260261262263263264262262264265265268269270271270272272273271272271271272272272270267268268267268269269269270271271272273275276277277277277278276278278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252258254257259261261262263264265269270272274275276277277277279281280281282283281281278279280282281280282281280281279280279280281281279279279280280279278278278278277277277276277277277277278280280280281281281282281281282281283282284283282281281282280281281281282282282282283282283283283282281280281280283283279278278277277276273274274274276275275275275276277277278278279278279278279278276275274272271268269268267267267269269269269269269269269268268268268268270273271271270269269269269269268268267267267266266266266267268268269272273274274274274274275275275276277278280280280281281281280281281281281281281281281281280279278278276275274272270269268268268267267267267267266268270271273274274275275275274275275275274273274272270270270270270269268267266266265264265266267266267266266267267266267266266266266266266266265265264264264265264263264264265266267265265265265265265265265264263263263262262262262262262262263263263263263263261261260259260260260260260260260261262261261262262263263263264265265266266266265266265265264264265266265266267267267268268268268268266267268267266266266265266266266266265265265264264264264263263262263263263262262262262263263263263263263263263264263264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266267265265264265263260258259260259260258258254258255255254254252250248250253255259260259261263266264264265265265263264263265264262263265260260259260259260261260259259259259253253255258257260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252254257257259259259258261260262259261262263262263263263263264265267266271271270271272273274274274273273273273274273271268269269268270269269270271271271272275275276277277276276272275276277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253255253255259261263262265269272276275276276278278279279281281281281283285284283282282284284284284284284281281281281280281281281282281281282282282281281280280280280280281279279279278280279280281281282282283283282283282284285284283284283281281281281281281282282282283284284283284282284283282282283281280281281280279278277275276275275275275274274275276276277277278277279278277279280279277277276275274272271268267268269269270269269269269269269269268268269268271272272272271271270270270269268268268268268268268268269270270272273274274274274274274274275276277278279280281281281281281281281281281281281282282282282281281281280279277276274273271269269269268267267267267268269270271272273273273274274274274275274274274273273272270270270270269268267267268267267266266266267267267267268267267266268267267267267267266266266266265266264264264265265265266266266266266266266266266266265265265266265264264264263263263263263263264264264264264262260260259260261261261261262263262262262263263264264264265266266266267267267267266267266266267267267267268268269269269270269269268268269268267268267267267267267267267266266266266265265264264264264263263262262262263263263263263263263263264264263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263266268267265263262263262262262262263260260258255254252253257256254255255258258262263265266267266265266266266264262262261265264266266267266262262260260260261261258259259258256253254254253254266265265999999999999999999999999999999999999999999999999999999999999999999999999999999999251257257260259265263262260261262261263263264265265265265265264265267268269269272271273273273274275275275274275275275274274273270270270270271270269270271271271272276277277278275277277275276278279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255257256259261263266270275275274276280277279277281282282283284284284284283284285286286282284282281282281281281281281281281282282283282283282283282282282282282281281280280279279280280279281280281282283283283283283284284284283283284283282281281281282282283284282284284282283283283284282281281283283280283282278275277275275276275274275275275275275275276276277277277277279279281281281281281280281279277277272272270269269270270270270270270269270270270270269272273272272272271271270270269269269269269269270271272272272273274274274274274274274274275275276277278279280281281282281281280280280281281281282281281281281281280280279278277276274273271269268268268268268269270270271272273273273273275275274275275275275275274274272271270270269269268268268268269269269268268267268268267269269269268267268268269268268266266265266266265265265265266266266266267267266266266267267267267266267267266267267266266266266265265265265265264265265265263262262261261262262262262263264264263263264265265265265266266266267267268268269268267268268269269269269269271271271271270269270269269269269269268269269269269268269268268267267267266266266266264265264264263263264263263263264264264263264265264263264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262267267267264262263262261261262261263269263262259257259262262257256259261261263261262267267267267267267264264264266265265266266266267266265267265261260258257256256257258257256254255255256258266260999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253255259259263263262260263264264263264264265264264266267267266268270270270272274275275275277277276277277277276277275274275271270271271271272271272271273272271275276999999276278278278279280279278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259260261262267273274274277277280280280279279281283283284284285285285286285285285285285285285282284283283283282283283282282281279281282282283282282282281281280280280279280279281281280280281281283283283285284284285286286285284284282283282282282283283282282282283282282283281284281282284282282282280281281281279278276278277275274274275275276276276276275276277277277278280281282282282283282283281280279280279275273270270269271271270271270270270270270270272272273273272272271270270270270270271271272272273273273273274274274274274274274274274275275276277278280281282281282281281280280281281281281281281280280280280279279280279278277276275273272270270270269269270271271272273273273273275275276275275275275274274274274272270269268269269268268269270270270270270269269269269268269270270269269269269270269269267267266266266265266266266266266267267267266267267267267267268267267267267268268268268268268268267267267267268267267267266265263263262263262263264264264265265264264265265266267267267267267267267268268269269268268268269270270271271271271271270270270270270270270269269269270269269269269269269269269269268268267267266265266266265264264264264264264265264264265264265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262264266266263264263267262260262262263268270264263259257255258257257261262258262265265262267267265262262265266265263266266266267268267267267266267264260257256256257255254255254256253254257259263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251253255256261265265267265262266264263263265266267267268269269269270272272273274276277277278278278275276277277277277277276275273274275273272275274276999999999999999999999999279280281281281281280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276999999999999999263264263262262264271274277276279279278282281282282283284283285285285286285286285287286285285285282282284283284284283284285284283284283282282282283283282282281281280278283285283283280282284280281283284286286283285287287287284284285284284282283283282284282282282282283282282282280279283281284282281281284283282280281280279279278277275274274275275276275275276276277276277277280280281281281283283283281282281282282280279276273272271270270270270270270271270270270271272273273273272272272272272272272272273273273274274274274274274275275274274274274274276276277278279280281282282282281281281281281281280280280279279279279279279279279279279279279278276275274273272271271271271272273273274273273276276275275275275275275274275274273270269269269269269269270270270271272271271271271271269270270271270270270269270270270269269268268268267267267267267268268268267268268267268268268268267267268268270270270269269270270270270269268268269268268268266265264264264264264265265266266266266266265266266267267267267267267268269269269269269269269269270271271271271271271271270271270271271270270270271270270271270271270270271270270270270269268268268267266266266265265266265265265265266266265265265265266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263262262262263264261264266265269267264261262264270271269269260258258261260260261264262265266265267266266268264265266266266264264264267266265267268268268266264260260258258255255252255256255254254253262268268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253254259265269268267267266266265263264267268269269268268270270270272272274277277277277277278277275275999999999278278277276275272275999999999999999999999999999999999999999280999284284281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272274272999999999999263261263262263266270274277276278279282282281283283284286286285285285285286285286286286285285285286285283283283284284285285284284284284285285284282283285282284284283282285284285285285284283283284284285287286286286286286284286284285285283284281282281284284283283282283283282284285283282284283284284283284284283281283282281280280278276274274274275274275276275275276275277277278279281281281281281283281281281282283282282281280277275274272271270270270271271270270270270272273274274274273273272272272272273273274274274274274274274275275275275275275274275275276277278279280281282282280281281280281281280280279279278279279279279279279279279279279279279278277277276275274273273273273273274275274275275275275275275275275275274275275273272271270270270269269270270271272273272272272272272270270271271271271271270270270271270271270269269268268268267267267269270269269269269268268268269268268268269269270270270271271272272272272271270270269269268267267266265265265264265266266266266266266266266266267267268267268268269269269269269270269269269270270271272271271271271271271271271271271271271272272272272272272272272272272272272270271270270269269268267267267267267267267266267267267267266266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263262263262263261266267268267265270269266264265270268268266265260258260261260264265266266261263267263264267267265266266266266265264264267265266267267267266265262260257254254256254253253252253252254260266267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255257260262266267269270269268265267265264266266269269269270271272271272272273276278278278278278278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270270277999999999999262262263264265269271274276277278280278280284280281285286285285284281284285286285286283286285286285285283283283283284285281282282282281285285283283285285286282281282284284284284284284283283283285283287286286287286286288285283287285286283283283282283283283283283284281281281283284285284283283284284284282282283280282282281281282281278276275275275275276276275275275276276278280279280280280282283282282283282284283283283282281281280279276275273272270270271271270270270270271273273273274274273273272273274275274274274275274275275275276275275275275274275275275276277277278280281282282281280281280280280280280279279279279279279280279279279279280279279279278278278277276276275275275276276275275275276275275275275275276275275275275275274273272270271270270269270271272271272272272272272273271270271272272272272271272271272271272271272271271270269269269269269270269269268268269269269269269269269270270270270272272273273272273273273272272271269268268268268266266265265266266266266266266266267267266267268268268268268268269270270270270270269269270270270271272272272272272272272272272271271272273272273273273273274274274273273272272272272271270270269269269268268268268268267267267267267267266267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266265263262264264268271272270269267267270270270265267265263265259258260262263268262264265266266268268267267267266267268268265265265267267267266266266265263264263263261256256254254252251250251254259263268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258262259262268269271271270271267266267269269270270270271272274274272273273274276278279278278278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269271999999999999999262261265268270272274275277279281280284282282281285286286286286285287284286286287287286285284285285283283283284282288288282286283283282282283286285286286285285286285286284286284284284283283283286285285285288286285285286285286286285285284283283283282282282281284283282283282282284283284284282283285284280281280285286283282284283280277276274274275275276276276275277277278279280280280281281283281282283283282283283283282282281281281280278277276274273272272271271271270271272272273273274274274273273273273274275275275275275275275275275275275275275275275275275276277277279280281281281280281280280280280280279278278279279279279279279279279279279279280279278278277277277277276276276276276276276276276275275276276276276276275276276276275275274272271270271271271271272272271272273272273274273271271272272271272272273273273273273272272272271272271271271271270270269269268269269270270270270270271271271271271271272273274273274274274274273272271271270269269268267266266266266267266267267267268268267268268269269268269269269270270270271270271270272271272273273273273273272272272272273272273273273273273273273273274275273274274274274274274272272271271271271270270269269269269268268268268267267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268266265263263262265267272271269269268262264265264271272272273267263264261262264268268269267270268270268268266268267266267268267266266267267266268266265263264263265265261256255251250248248249249252257262264999999999999999999999999999999999999999999999999999999999999999999999999999999999999259263263267266269270271272273276270269270273273271272272270272272275275274274275274277279280279279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282272270271999999270999999999999999263266269272272272275277281281283284283285285285286286286285286287287287286287287287284285282285286285282287287288288287289287287287286286285286286288285286286285286285286286286284285285287287287288286288287287287285285284288285285284284283283283284285283283284284283282284284284285284282281281282283281283284285285282284282282279277275275276276276276275276277278278278279279281281282282283283283283282282283283283282282281281282281280279278276275273273272272271270270271272272273274274274273273274274275275276276275276275276275275276276276275275275275276276277277279280280280281280279280279280280280279278278278279279279279279279279280279279279279279278277277277277276276276276276276276276276275276276276275275275276276275275275276275274272271271271271272271272272272272273273274273274273273274273272272273273273273273273273273273272272273273272271271271270270270270273272272271271271272272272271271272273274274276275276275275273272272271271270269269268267266267267268268267268268268268269269269269268269270270271270271272271272272272273273273273274273273273273272273274273273273274275274274274274274275274274273274274274274274274272272272271271272271270270269269270269268268268268267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267266266266264263261266269272272269268266266265265265268268272271272270266265263265268270272269270267268268267267268268267267267267267267266268267267267267266266266265267265262260251248247247248251255258260260999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267269269267268272271273277276273273271276276274274274274274274274275274274274275279280280279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276273275270999268999999999999999265268272272274275275277279281284285285285284285286287285285286287286288287287285285285286285285286287288287288287288289289287287287284286285285286285288286286286287286286286284283284284284285285288289288287288289286286285287287285284284284283283282283281284284283282282281279284282283280283280282281280281281283285283284284282282279277276275275275275276275275277278278278278280281281281282283283284283283282282283283282282280281282282282281280279277276274273272271271271271271272273274275274274275275276275275276276276276276276275276276276276276275276276277277277278279280280280280280279280280280281280279278278278278278278278278279279279279279278278278277277277277277276276276276275276276275276275275275275275274275275276276276275275275275274272271271271271271272272272272273272273273273273274273272272273274273273274274273273273273274274274273273273273271271271271271272273273271272272273272272273271272274274275276276276277276275274274273272271271271270269269269269268268268268268268268269269269269269269270271271270272272273273273273273273273273274274274273274274274273273273273274276275275275275275276274276276275274275273273274274274273272272272272271271271270270270269269268268267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277269267268268270265263264264267270271265265265266266266266267266267268270271268266262265269270271271269267268267267267268266265268268268268267268269268269267266265265264263264261257256251248247247246248253253253253999999999999999999999999999999999999999999999999999999999999999271267267264264264265269271273271272270273272272273274274276275276276274276275276276277276276275276277278278280279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999999999999999999999999999999999999999999999999281278279999999278276276273272270269272999999269270271272272272273276277279279285285285284284284286287286286286287288285285285286285284287287286286286288289287287287288289287287287286285286285286287286287288287285282287284284287284284287285288288285286287286286285285286288288287285284285284284282282282283282283282283281280281281280283282283281281281281281283284284283284284283281279278276274274275277275276277278277279278279280281282282283284285284284284283283282282281282282281282282281282282281280279276274273273272272272272273273274275275275276276276276275275275275275276276276276276276276277276276277277277277279280280281280280280280280280280280279279278278278278278278278278278278278278278277277277277277277276276276276276276275276275275275275275275275275274274275275276275275275274275274273271271271271271270271272272273272272273273274273273272272273274274274274275275274274274275275274274274274274273272272272271273272272272273274274273273274273274275276276277276277277276276276276275274273272273272271270269270269269269269269269269270269269269269270271272272272272273273273275274274275274274275275274271273274275274274274274275274274276276275275276275277277275276275275275275275274274273273272272272272272272272271271270270269268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276272271271274272266266265262263263264265265264263264265265264263265267270270270268268270272273272272270269268267267267266266266267265268267267267266266265266266265264264265263259255252250248247245246248250255253253999999999999999999999999999999999999999999999274274999999999269273268263261263268271274278278273277272272276276277279277278278277277277277278277277279277277277279280279279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280999999999999999999999999999999999999999999999999999278279278999999999999274273273272272270999999271272274274273273273276279278279282286286285284285286287286285285285286286285288288287287286286286287290288288288287287287287290289288287287288287286290288286287287290286287288285289288288288285289287287286286287285285286285286286288287288285286285285282284283282282283283284282281279282282282282282282281283281283284283281283284283283281281279276276275276277276276276277278279280279280281284285285285285285284282282283282282282282282281282281282282282282281281279277276275274274273273273273273274275275275276276276276276276277276276276276277276276276277276276276277277277279280280280280279279280280280280279279278278277278278278278278278278278278278278277277277276276276276276276276275275275275276275275275276276276275274275275275274275275275275275274274273272271271271271272272272273273273274274274274273272273274274275275275275275274275276275275274275275274274274273273272272272274273274274274275274274275274275275276276277277278278279278278277277276275274273274273272272271270270269270270270270270270269269270270271272272272272273273273275275274275275275275275274273272273274273274275275276275276277276276276276276277277277276275276276275276276275275275274274274274274273273272272272271270270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281278277276273271269267264259257259261263264263263262262262263263264267271268272271271271272272273272272272270267264266266266267267268269267265265265266266265266266268268265263258254250246246247244244246250254254252252253999999999999999999999999999269999268999269269270270272270999999263265269271272276273277277275276275276278279278279279280280282281280281281281280280279279280280279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282279280999999999999999999999999999999999999999279278278277278999999999274275271270272271272273273274275275276275276278278282283283285286286286285286287287286286285286286288288286288287287287284288290289288288288287288288289285287289289289290287286291291289290289290287286286286288288289289288290290289288289288290289288289289287288288288288286287285285283283281282283283283281281281283282282282283282284283283283283283284284284283283281281279277277276276276276275277277278279280280280283284285285284284284283283283283283282282281281281281282282282282282282282281280278277275274274274274273273274275275276276277276277277276277276276276276276276275276276276276276277277278279279279279279280280281280280280279278278278278278278277278278278279279278278278278277277276276276277276276275276276276276276276276276276276276275275275275275275275275275275275275275274273272272272272272272272272273273273274274274274274274274275276276276275275276276276275275275275275275274274274275274273273274274274274274274275274275275275276277278278278278279279280280280279278277276275275274274273273271270271270270270270270270270270270271271273273273273273274274275275275275274275275275275273274274275276276275275276277276277277276277277276277277277278278278277276276276277276277275276276275275275275274274273272271271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283280281276272270270267258264264258263265264262260260263264263263263265268271272272270271270271270270272273270267266266267268268268266268267265265268268269268268267266265264263262253247244245248251242244248252257256257999999999999999999999272269278278999270270271999273272266265263264267269271277272278277275276273275277278279277279280279280282282282282282282282280279281279280279999999999999999999999999999999999999999999999999999999999999999999999999999282282284283999999999999999999999999999999999999999999999999999999285285999282282282287278999999278999999999999999999277278278278278999999273275274270999271269273274274275276277276276278277278279281283285286287286286287288287289288288288289288288288287288288288287290287290288288287288289286291287289290290289291287288289289288290287290286284284286288288287287286287288288288286283283286284287286285285282286286286286284283285283283282283283283284282283283282282282282282283283284283282283283283282282282282281278277277277276276276277277277278279280280281283283285285283283284283284284283282282281281281281281281281281282282282282281281280278277276276275274274274274275276276277277277277276276276276276275275275275276276276276277276276277278279279279279279280280279279279279278278278278278278278277278278278278278278278278277277277277277277277276276276276276276276277276275276276276276276276276275275274275276276276275275275275275274273272272272272272272273273273273274273274273275274274275276276277277277277277276276276275276276276275275275275274274274274274275274275275275273275277277278278278278278279280280281280279279279278278277276275274274273272271271271270271270270270270271271271272273273273274274275275276275275276276275275275276275276275275276276275276277277276277276277276277277278278277278278277276277277277277279277276277276277276276275274273273273272271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276273272272271268257258259260259259258260259261261261262264265263265266267266270269270270267268275273271269269270270270270269270269268268269268265264264265264261261257254253253243248246246239240249250250255263258999999999999999276269999999279274999275271274272270267264265265268272272274276276275999278275278278280279279280281281283284282283283283282283281280279999999999999999999999999999999999999999999999999999999999999999999999999999999278280278282283282272999999999288288278999999999999999999999999999999999284282283280280999999999999999278999999999999999276277276276278279999272274275276275276272270270272275277277278277277278277278281283284286286286287287289288290289287286289289289289288287288289288289287288291291289288288291291290290290291290287292289289289289288290290287286286286287288287285286287287287287286287284287284290286285282286286285285282284285284283283283284284283284283283282282282281281282282282282282282283283282283279282283283280280279278277277277277277277276279279279281282284283284283282282283283284284283283282282282282282282282281281281282282282282282282281279278277276275275274274274275276276276277276276276274275275274274276276276276277277277277278278278279279278280280280280280279279278278278278278278278277278278278278278278278278278278278277277277277277276276276276276276276276276276277277277277277276276276275275275275275275275274275275275275274273273272273273273273273273273274273273275274275275275276277277277277277277277277276276276275276275275275275275275274274274274275275275274274277277278278278278278279280280281280281281280279280279279278277276275275273273273272272271271271271271272272272273274274274274276276276276276276276276277276277276276277277276276275276276276278277277276277276277277277277276277277277277278277278278278278277276276275276276275275274274273272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274275277274267263260262260259257257258258259259261261262264262262264265265264265267269271272272275272271271270271270272273271270270270270269265263263264264263259258255250246242244246243244238242250249257999259999999999999272268999999269276269270272271271270269267266269270272273274276278278999999277277275278279281281281280282283285284283282282283282281280999999999999999999999999999999999999999999999999999999999999999999999999999281280278279281282280277275999275276282282278999999999999999999999999999999999999283283281273274272277277280277277276276276279280277277279277276277277281282280273275278276273273276277277279279279278279279281283284286287288288289290290289286285287289290288287287287286288288286289290291290290290292290291291286288288287287292289289291290286285287285286290288286288285286286285288288287287287287287286286285289288282283286284285285286285285284284284283283284283283281283283281282281281281281282283283282281280285282282282280279278277278277277276277278278279279280281283284286285282283283283283283284283283282282282282281282282281281281282281282282282283283282281279277277276276275275275275275275275275275275276277277276276278278278278278278278278278279279280279280280281280280279279278278278278278278278278278278278278278278278278278278278278277277277277277276276276276276276276276277277277277277278278277277276276276276275275276275274275275275275275274275274273273273273273273273273273273274275275275275277278278278278278278277277276276276276276276276276276276275275275275274274275275275276277278278279279279278280280281282282282282281281281280280280279278277277276275275274274273272272272272272272273273274275275275275275276276276276275276277277277277277277277276275276276276276278276278277277277277277277277276277277277277277278277278278277277277276276276276276275275274274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272276272271267266263264261260259258260264263262261261261262262266267267269270269270272274275274273273273273274274273272272271271270268266265265266264262259259256250247244242242243241237241999999999263999999262263260267262263268999269271273270272273270270270271271272274275277279280277999281281281280282282282283284283284284285284282280282282281280999999999999999999999999999999999999999999999999999999999999286284284283999282281279278280283284281282999277277279283284999999999999999999999999999999999999999999999276275278274280281282281284283283286284282279280281279280281282282280279273275274279278275276276278280281279280280280282284285287289289289290290291290289288288288289286287288287289289287289289288289291289290291291294293293293292291290290289291291291290292290290290290291290289289289287289289291291290290290290290288288286285286287285287286286286286284284284285284283283284284284283281281281281281281281281282283281281282282283283283282281280279279278277278279278278278278280280283284285284283283283284284284284284283282282282282282282282282281281281281282281282282282282282281280279278277277277277277277277277277278278279280280281281282280280280280279279280279280280280280281281280280280279279279279279278278278278278278278277278277278278278278278278277277277276276276276276277276277277276277277276277276276277277276276276276276276276276276276274274274274274275275275275274273273273274273273273273274274275275275277277278277278277278277277277277276277277277276276276276277276276276276276275276277276276277278279279279279279281282282282283283282282282282282281281280280279278278277277277276275274273273272273273274274275275276276275275276276276276275276277278276277276277276276276276277277277277278277278278278277276276276276276276276278278278277278277278277277277276276276276276276275275273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275272269265264265265264264265265262260261262260261262262263266269271273274274276276275275274276276274273272271269269268267266265267265263261258257251248247243246247246244242247251255255259260262263256258266268271269270272273272272273274274270270271275275277277279283281281281283283283284284285286286285285286286286283999999999999999999999999999999999999999999999999999999999999999999999283282283281280283999999999999999281282281283999999277280999999999999999999999999999999999999999999999999999280276275279281282281285284288287286286286285283283283284284283284284281277273272272276274275277279279280279279279278280282283285287289287287289288288287287288284284289290288288288289289289289289289290290291290290289290290290290290290289291292291292287287290287288287289289290290289289287286286287287287286286286285285285282283285284285287287287287286285282285284283284284283283282280280283280280280281281282282282281281282282283282282282279280279279279277277278278278279279278282283283284284282283283284284284284284283283283282282282282282281282281281281281282282282282282282282281281279278279278278278278278279280280280281280281281281281281281282281280280280280280280281280280281281280280279279278279279278278278278277277278278278278278278278278278277277277277276276276276276276276277277277277277276277277277277277277276277276277276276277276275274274274274275275275275275274274273273273273273273273274274274275276277278278278277276277277277277277277276277277277277276276276277278278278278277277277277278278278279279279280281282282282282282282282282282282282282281280280279279278278278278278277276275274274274274274274275276276276276275275276276276276277277278277276277277277276277277277277277277277278278277277277277277276276277275276277276277278277277277276277277277276276276276276276276274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270272271269271271270270269271270269267269269265264263262261264268270273274275275276276275277276276274273271271271273269270269266266263262261260256256259256252258253255256255253254252254255256255254254258261263262264265271271270270271271269271269270273276278280282283999280281284285285286288288286284285285288286286284999999999999999999999999999999999999999999277272272999999272277999281282281282286284999999999999999999999282283280999999269270279999999999999999999999999999999999999999285282282278278283285287288288289287288289291288285288288287286286285286286285281279278276272273273274276278279278279280279279281282284286287288289287287289289288287286287289288289288289289290290290290289290290291290290287289290290288290288290291293292292292293290291289289289290291291290290289288288288288288286286286287286284284285282284286287288288282284284285284284283283283283283282282281281281281281279281281281282282282281282283282284282281281280279279279278279279279279279279280282284284285284283283284283284284284283283283283282282282282282282281282282282281282282282282282282282282281281281280280280279279279279280280280281280280281281281281281280280279279279280280280281280281282281280279278279279279278277277277277277277277277277277277277278278277277277276276275276276276276276276276277277277277277277276277277277277276277277276277277277277276275275275274275275275275274274275274274273274274273273274274274276276277278278278278277277278277278277278277278278278277278277277278278279278278278278278278279279279279279279280281282282282282283283283283282282282282282281281280280279279279279279278278277276276276275275275275277276276277277277277276276276277277277277277277277277277277276277277277277277277277277277277276276277277277277276276277276277277276276276275276277276276276276276276274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276272275275276276277275277276274274274274269268265263262263267269272272272273273274276276276276277276272272271273271270269269268266265264260258266266268269270269270264265267267262261248255255258261263265264262264266270268268276271271269271277277279279281282285286999283285286288287287286287284284284284286287286284999999999999999999999999999999999999999278277999277999268269271282280285285291293297999999999999999999999999999277279278274274277999999999999999999999999999999999284286288288288286288288289289288287291288288289290290289289290291291290289288287285281278279275277274275275277275275277277280279282281281284285288290290289290289290289289288288290289290289290289289291291290291290290290289288290290294290290288293292293293293293292294292292293293294293293294293293293292290289290290289289288286287288288286286286288287287288287287286286286285285284284284283283282282282283282281281281281281282283282282283283284284284283282280279280279279279279279280280281283284285285285284284284283282283283283283283283282282282282282282282282283282281281282282282282281282282281281281281281281280281279280280280280279280280280281281280280281280280280280280279280281279280280280280279279278279278278278277277277277277277277277277277276276278277277277276276276276276276277276276276276277277277277277277277277277277277277277277277277277277277276276276276275275275275275275275275275275274274274274274274275275276277277276277277277277277277277277277277278278277278278279279280280280280278278278278278279279279279279279280282283283283283284284284283283283282282282282282282282281281280281281280280279279278278278277276276276277278278277277277277277276277277277277277277277278278277278277277277277276277277277277277277277277277277277276276277277277276276276276275275276276276276276275275275275274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281283280277282283281277280279278276279279275272266266266265267269270270271273274275276277277277278277275274275273272270269268268267266265261263270272274274271270275276277277269262262261265264264266265268264264267266274273272271275275276281283284285284285286288288288287288288288287287287286285285285285285286285283999999999999999999999999999999999999999278277270268270266268999999284288291295294999999999999999999999999999999278282283279274281999999999999999999999999999999999286289290289288287290290291292292292288288288290290288288289290291291291291290287288284279281281275276277278278278274274275277278279280280282283286288289290288289290290291290289289290290288286290290291290287292286288285288290290290291290289291292293294292292290294291290290288291291293291291291288291292290289288289288287287286286286291290286286287287287288288287286286286286285284284283283283283282282281281281281281280281281281283282283284284285283282283281279280280279278279280280280281284285285285284283284283283283283283282283283282283282282282283282282282282282282281282282282282281282281281281281281281281281281279280280280280280280281281281281281281281281281281280280280280280280280279280279279279278279278278277277277277277277277277277277277276276277277277277276276276276276276276276276277277277277277277277277278277277277278277278278278277278277277277276277277276275275275275275275276275276276275274274274275275275276277277277277277277277276276276277277277278278278278278279279280280281280278279279279279279279280280280281282283284284283284284284284283283283283282283282282282282282282281281281281280280279279279279279278277277276278278278278278277277276277277277277277276277277278277277277277277277277277277277277277277277276277277277277277277278277276276275275275275275276276276275275275275274274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280281283285283283283283282279278277275272270263262262262262267266269271274275276277278277277275277277275274273271269269269267268265264264266270272273275275274276277277277274264266267270270270269270271269270271270273275275274279282283285287288288288288288290290290291290289287287287287286285285285283283284999285285284285999279280281281280282999999999273279268263262262999999999292999999999999999999999999999999999999999999999280278278274999999999999999999999999999999999290290290290290290286289291291289293291289289292290290288290291292292292292291290292291288286284282279279280279279276276276276276278277280281282283285286288290290291292292292291290288288287289288288291290288287292292288289290288290291291290288292293292292294294288290290290291291292292293293292292288288290289288290289288284284287288291286288289288288287287288289288287286286286286285284283283283283282281281282282281281281281281282283283283284285285285284283282280279279280280280280281281284285286286284283283283283283282284283283282282283283282282282283283282282282282283282282282282282282282282282281281281281281282281280280281280281281281281281281281281281281281282281281280280281281280280281280279279278278278278278277276277277277277276277277277277276276277277277276276276276276276276276276276276276276277277278278278278278278278279279278278278278278279278278278278277277277276277276276275276276275275275275274274275276276276276276276276277276276276276276277277277278278278277278278279279280279280279279279280280280281281281281283283283284283283284283283284283283283283283283283283283282282282282282282282281281281280280280280279279278277277278278278278277277276276277277277277277277278278278277277277276277278277278277277277278277277277277277277277277278277276276276275274275275275275276275275274275275275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280284284285284284284283282281279278277272269266262263264263265266269272275275276277278277276275275274274274272271269269269270268269269267268270272273274275275276277277278277275273274274276274273273275277277279277278280283284286286287288288289289289289290291291292290290288284999286286286285282279279999999999999999287286284282285286284283282281281268266264262263265999999999999999999999999999999999999999999999999999999999999277277279282286999999999999999999999999999289290290291290291291290290291292292293291292291291291292291292293293293293293293292292293291289286284284283283281278278276275274276275277278279282283283285289290291292293293293291291286289289290291290288290290292291285286286291294292286290291291291292293293294293288293290291290289290293293292292291286289289288288288288285287289287287288286287288288287288288287289288287287286286285285284284284283283282282281281281281282281281282283283283283283283284283285283282280280280280280281280282284285285286286284284284283283283284283283283283283283283283283283283283283282282282282282282282282282282282282283282282281281281282281281280282282281281281281281281282281282282282282281281280281280281280279279280279279279278278277277277277276276277276276277277276277277277277277276276276276276276276276276277277277277277278278278279278278279279278279279278278278278278278278279279279278278278277277276276276275275275275275275274275275276276276276276276276276276276276276276276277277277278277277278277278279279279279279279279280280280281281281281283284284284283284283283283284283283283283284283283283283283283283283283282282282282282281281280280280279279277278278278277277277277277276277278278278277277277278278277277277277277278277277277277277277277278277278278278278277278277277276276275274275275274274275274274275275275273275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285286283283283282282282281280277277272271265262264265266267270274276276276276276276276273274273273273272270270271272271270270270269269269270271272271273274274274275273274275275276278277277276278278280282283286287288288288289289290290290290290290291290291291290288285282999283284284283282279282999999999999999999291288288289287286281279276275269273273270272271999999999999999999999999999999999999999999999999999999999283284286287286286287289999999999999999999287288290291291291293292291293293293293294292293291292292293293293294294294295295296295295294293292289291288288285284281282279279279278278279279280283283283287289290292292294295294292292292292292292291290290291291291290291292290291294291292289291292292293294293294291291291293291294291295296295294291293291291292291289291289288288289289288288288289289289288289288287288288287288287286286285285285284284283282281282282282282281282281282282283283284284284284284284284283282281281281281281282283285284285284284283283283283283283284283283283282282282283283283283283282283282282282281281281281282282282283282282282281281282282282281282282282282281281281281281281281282282282281282281281280280279280280280280279279279279277277277277277277276276276276276276276276277277277277276276276276276276276276277277277277278278278278278278278278278278278278278278278278278277277278279279279279278278278277278277277277277276275275274274275275276276276276276276276275275276276276276276276276277277277278278278278279279279280279279279279279280280280280281281283283283284283283282283283283284284284284284284284284284284284284283283283283283282282282281280280280279279279278278277277277277277277277277278279278278278277278278278277277277278277278277277278278278278279279278278278277277278278277276276276275275274275274274273274274274273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286285286283283283281282282281278275271267260263265266268270273274276273276276275274275273273272270271271271271272272271271271270270269270270270271272274273273273273276275275274275277278277276279281284286287289290289289289290290290290290290290289291289290290289284282281280280278278277285286999999999999999999999292287290293999999278278278276280281280275272999999999999999999999999999999999999999999999999999999286283286286289288288288289288999999999999999999289290291292292292293292292293294294295292293295295292293293294295294293294294295296295295293291292293293291291288285284282283280279279278279278281283282284285288288293293295295295294290291292290291290289292292291291291289288290287288290291292292293293292293292292292293292294293292294294293293294290293291291289289291291290287287288288287288289289289289288287289290288288287287288286287285285284284283283282281282282282282282282283282282281282283282283285283284284284284282282282282282283284285284284284284283283283283283283283283282283282283282283283282283283283282282282282281281282281281281281281282282281281281281282282281281282281282281281281281282281282282281282281282281280280279280279280280279279279279277277277277276276276276276276276276276276276276276276277276276276276276276277277277277278278278278278277278278278278277278278277277277277277277277277278279279280280279278279279278277278277277277275275274274275276276276276276275276275275276276276276276277276277277277277278278279279280279279279278278278278279279280280280281283283283283283283282282283283283283284284284284284284284284285284283283283282282282282282282281281280280280279279278277278278278278278278277277278278278279278278278278278277277277278278278278278279278278279279279279279278278278278278278277276276275274275275274274273274273274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280285285282282282282279281282279279275272267261265267268270272274275275276274276274271273273272272272273272272272272271270269270269270271271272272272274274274275274275274277273274999999273275278281283286288290290291291292290290291291290290290291291291291291289286282278276273275277277999999999999999999999999999999999999999999999999999276275276280281282999999999999999999999999999999999999999999999999999999999287285286287289288289290289289290999999999999999292290291290291293293293293294295296295295294294292296293294295295296296294295297297296297295296294295295293294294294291288287284284281279279281282281283285284286288287291291292294295293291292292292291292289291292290292291291289288290288291292292292293293293293292291292293292293293293293293293291292292293290291292289291291290291288288288288289290289290289289288288288289288288287287287286284284283283283283281281281281282282281280282281281282283283283284284284283284284284285284284284285284285284284284283284284284283283283283283283283283283281283283283282283283282283283282282282281281281281281281282282282281282282281282282282281282282282281282281281281281282282282282282282281281280281281280280280280279279277277276277277276277277276276276276276276276276276276276276276276276276276276276277277277277277277277277277277278277277277277277277277277278277277277277278279279279280279279279279279278277277277277276275275274275276276276276276275275275275276276277277277277277277278278278279278279279279278279279278279279279279279280280280282283283283283282282283283282282283283283283284284283284284284284284284284283283283282282282282281282281281280280279279278278278278278278278277277277278278278278278278278278278278278278278278278278279279279279279280280280279278278279279278277276275274274275275275273273273273273274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284284282283282283281282281278275272267260265266268268272273273274274274271270270270272273273273273272272272271270270268269270271272273273273274274274273278276273271999999999999999999276278283286287290291291292291292291290290291291290290291291290289289287282278273273275281999999999999999999999999999999999999999999999999999999275271265266272276278999999999999999999999999999999999299296295294293999999999285285287288287287288290289288289289289290289292291293291293292294294294294296296295296297297294294297295296296296297298297298297298297297297297296296294296296296294293290288284282282281280278281283284286287286287289291292294295296296294293291291291291292292292291290292293291291289291292292293293293292293292292292292293292291291292293293293293294292291292294294293292291292291289290286289289290289290290290290288289289290289288287287285285285284283283282282282282282281282282281281281282283284283283284283284284285285285285285285284284284283284284284283283283283284284284284283283284284283283283283282282283283283283282282284283283281282281282282282282282282282282282282282281282282282281281282281281282282282281282281282282281281281281280280280280279278277277277277277277277276276276276276276276276276276276276276276276276276276276276276277277277277277277277277277277277277277277278277277277277278278277277277278278278279279278279279279279278278277277277277275275275275275276276276276276276276276276276276277277277278278278278278278278278278278278278279278279279278278280279280281282282282283282282282283282282282283283283283283284283284284284284284284283283282283282281281281281281281281280280279279278278278279278278278278278278278278278278278279279278278278278278279279279279280279280280280280280280279278278278278278277276276275275275275274274273274273273273274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283283282281283282282281280278275272264261265267269270270270271273274273273273273274274273272272272272271272272271271270272274273272273274275276277275275276278277999999999999999999999281283284286289291294293294294294292291291290290289289290290289288287283277275281999999999999999999999999999999999999999999999999999999999999282277272263261272278276999999999999999999999999999295297297295293293299294999289287288288288287289289290289291292293292293292291291294293293292293295294293294296298297297298298299299300297298298299298294299299298298297298298298297297298297294293293291289286282280282281281282285286287287286288290292293294295296296295294293294294294293294291292292293293293292291292293292293293292292293293292293292293291291292292293292293290290290291293291291291292291292291290288291290288289287290289290290290289289289289288288287286284285285283283282281280281281281283282280281281282284282284284283283285285284285286284285284284284285285284284283283284284284284284284284283284284284283283283282282282282283283282283283284283283283282282282282282282283282282282281282282281281281281281282282281281282282282282281281281281282281281281280280280279278278278277277277277277277276276276276276276276276276276276276276275276276276276276277277276277277276277277277276277277277277277277277277277277277277277277277277278279278278278279279279279279279279278277277276276275275275275276276276276276276276276276276277277277277277277278278278278278277278278278278278278279279279278279279280282283283282282281281281282282282282282282283283283283283283284284284283282283283282282281281281280281281281281281280279279279278278279279278279279278279279279279279279279279279279279279278279279279279280280280280281281281280279278278278278277277276277276276275275274275274274274273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276282281281281281282281281279277273270260262264266268270269270270271272272273271272273273274272272272272270273273271271272273274273273273275277279277277276275274276999999999999282282284284284286289292293294294294294293292291291290289289289289288284283280278272281276999999999999999999999999999999999999999999999999999999999999999999280263260269273273275276999999999999999999999297298297295292291290289295290290290290289289290290290292292292294294295294295293293291293293294294296295294295295295295296299300301298299299300300295299300300299298299298301298300298299298297293294292290286283281281281281283284286286287287288290293293294295296296294292293292293292292293292291290293293293292293292293293292292292293293292291292293292293294292293292292293292290292293290290291289292291291291290289291288287289289289289290291291289290288289288288287287286285285284284282281282281283282281281281282283284284284284284284284284285283284284285284284285284285284284283283283284284284284284285284284284284283282283283282281282283283283283283283283283283283283282282283283283283283282282282282281281281282281282282282282282282282282282281282282283282281281281280279279278278278278278278277277277277277277277276276276276277277277277276276276276276276277277277277277277277277277276276277277277276276277277277277277277277277277277277278278278278278279279279279279278278279279278278276276275275275275275275276276275276276276276277277277276277277278278278278278277277277278278278278278279278279278278279280282283282282282281281281281282281281282282282282282282282282283284283282282283282281281281281281281281280280281280280280280279279278278279279279279279279279279279279279279279279279279279279279279279280280280280280280281281280280279278278278277278278277277276276276275275275275274274274275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283281281280282280280278275272264263265265266266268267269267269270270272272273273271272273272273272274275275275275276273276274273275277276277278278277278278281280285286286287284286287287289293294295295294294293293293292291289289289288286282277275278275269272276280999999999999999287288999999999999999999999999999999999999999999999259265270269266269999999999999999999999297295298294293292292291293294293293293293292292292291292293293294295296296296296296295294294295297296295294298297294297295298297298299298299299300299299300300300299299298299299300300300299298297292293291288286285283282282282284285286287286287289291293294294294293294294294293291293293293293293290292293293293293293293292292292292292293292292293293294294294294293294291293290292292293292290291291291292291291289289291287287287290292289289289290290290288289289288287287287287286285284284282282282282282282281282283283283284282283284284284284284283283283283284284284284284284283283283283284284284284284284284284284283283283282283283283282283283283283283283283283284283283283283283283284284283283283282281281281281281281281281281282282281281281282282281282282282281281281281279278278278278278279278278278278277278278277278277277277278277277277277277277277277277276277277277277276277277276277277276276276277277276276276276277277277277277277277278278278278278278278278279279278278278278278279279278277276275276275275275276276276276276277277276276276276277277277277277277277276277277278277278278279278278278278278280282283283282282282281282281281281281281281282282282282282282282282283282282282282282281281281280280280280280280279280280280280280279279278279279279280279279279279279279279279279279279279279279279279280280280280280280281281281281280279279278278278278278277277277276276276276275275275274275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277284280279283281279278278276271266266266267266266266269270270271270271271271274273273273273274274274274275275276276275275274277273273273275277280279279279280281282285288287289288288289290291294295296295295294293293293291289289288287285283280278278277275270273274278282295999999999298298999999999999999999999999999999999999999999999273271276279280284999999999999999999297296298295295298296295295295295295294295296295296297296296296297298298297298298298298297295296297295296296296298296295295296297298299298299300299298299300300301300302302299298299300299299297295295291288287289287287284283282283285285286287286287288291292294295294294294294295295294294293294293293294293293293293292293293293292292293292293293293294294295295293293292291290291291293292295291290289291291291292291291288290289289290291291288289290290290290289289289288288288286286286285284284283282283283283283284283283283284284284284284284284284284283283283283283284283284283283283283284284285285284284285284284284282283283284283283283283282282283283283283284284284284283283283283283283283283283283283282282282281281281282281281282282282281281282282282282282282282281281281279278278278278278278278278278279278278278279279279278279278278279278278277277277277277277277277277277276276276276276276276276276277277276277277277277277277277277277277277278279279278278278278278278278278278278278278278278278278276276276275275275276275275276276277277277276276276276277277277277277276276277277278278278279279278278278278279280282283282282282282281281281281281281281280281281281281281282282282282282282281282281281281280280280280279279279279279279280280280279279279280279279279279279279280280279279279280279279279279279279279280280280280280280281280281280280279279279279279278277277277277276276276276275275275275276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284278279280279278277274272270270269268265266268270271272271272272271272273275273274274275275276274275275275276276276277276276279280278278278280281281282283285287289291290291292292293294296296296296296294293294292291289290288285282278277275284273275275276276999999295999999999295296293999999999999999999999999999999999999999999274273276283286283287999999999999296297295297297297297297297297296295297297298298299298298298298298299300300299299300299298297296296294295295297296296296296296297298301298299299299300299302302302302303300301300298298299298298296297296293292289290288290287285283283284285286287286286288290292293294295295294296295294294294293293293293293293294293293294292294292292292292293294294293293293295295293292291290291291292293292292291290289291291291292291290288290290290290289289289289290290290289288288288288287288287286286286285284283284284284284284284283284283284284283283283284284284284284284283283283284283283284284284284284284284284284283284284284284284284283283283284283283282282283283283283283283283283283283283283282283284283283283283282281281282281281281282282282281281282282282282282281281282281280280279278278279279278278278278278278279278279279279279279279279279279279279279279278278277277277276277277277277276276276276276276276277277276276277277277277277277277277278278279279279278278278278277278278277278278278277278278278278278277276276276276276276276277276276276276277277277277277277277277277277276276277277277278278278279278278278278279281282282282282281281280281280281280280280280280281281281281281282281282281281281282281281280280280280279279279279279279279279279280280280280280280280279279280280279279280279279279279279279279279279279279279280279280280280280281280280280279279279279278278278278278277277277277277276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278281281279280277275275274274275273270268268267268269270271272273272272271273274274273275275276276275276273274275275274274274274277278276279278279283282285286286289291292292294294294294294296296296294295295294295295291290289287283281278277274284279281281282283284999999999999999999999294297999999999999999999999999999999999999999999279283286288286290290999999999294295296298297298299299299298298300300300300300300300300301300300300301301300300300300299297296297294295296297296297296297296296297299297298300299298300300301300299301301300300300300298297298297300297296295293291290291287286284284284285286286286288289290292291293293294295295294295295296294294294294293293292293293294294292292293293293292294294294295295295294294291291292292293292292291292290289290291291291291290289289291290290290289289290289290290289287288288289288288288288286286286285284284285286284285284284284285285285285283283283283284284284284283284283283283283284284284284285285284284284284283284284285285285284283284283283282283282283282282282283283283283283283282283282282283283283283283282282281281281281281281282281281281281281282283282281281281280280280278278278278278279279279278279279278280279280280280280280280280279280280280280280279279279279278278277277277277276276277277277277277277277277277277277277277278277278279279280280279279278278278277277277278278278278278278277278278278278277277277277277277277277276276276277277277277276277277277278277277277276276277277277278278278278277278278278279281282281281281281281280280280280280280279279280281281281281281281281281281281281281281281280280280279279279279278278279279279279280280280280280280280280280280280280279279279279279279279279279279279280279280280279280280281281280280280280280279279279278278278278278277277277277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276277278279279279278278277276275271270268269269269269270270271271270272273273276275275276277273276274272273274274279274274275275279277279279279283284285287289291293294293294293294293295297296297295296295295295294291290287284281280999284277284286286286286287286287999999284288999999289296999999999999999999999999999999999999999284288288290289290290292291295295295295297300297298301301302302302302301301301301300301301302302301302301302301301300300299298297297297297297297297297297297297298298297298298300299300301301300299299299301300300299300302299299299298298297296294292291289289288288286284284285286286289289289291292293294294295295296297296295296294293293294294294294293293293293293293293293293294294295296297296295294294292294294293291291291290290291291291290291290291290291291292290289290289290289289289288288288288288289288288288287286285286286286285286285285285285286285285286286285285285283283284284284284284284284284284285286285286285286285286285284284284284285285284284282283283284282282281282282282282283283283283283283283283283283283283283282283282282282282282282281281282281282280281281281282282281281280280279279278278278278278278278278278278280280281280280280280280280280280280280280280280280280280279279279279279278278277277277277277277277277277277277277278278278278278279280280281280280279278278279277277277277277277278278276276277277277277277277277277277277277277276276276276276277277276276277278278278278277277277276277277277278278278278277278278279280281282281281281281281281280280280280280279279279280280281281281281281280280280281281281281280279279279279279279279279279279280279280280280280280280280280280280280280279280279279279279279279279279279279279280280280280280281281281280280280280279279279278278278278278278278278278278278277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276277280277282282280280279279277276270270271271270271271271271272273274274275276276276277276277277277277278278279278277277278278278279279280281281283285288291291292293294295294294294295297297297298296296297295296295293290288285282288999999280284286287288289288288286278277281286999287293295999999999999999999999999999999999999288287292292292292293294295296293294297298299299299301303305304303304303302302303303302302302302302302302301302301301301301301299298298299298296297297297297297297297298298300299300300300301301300300300300301301301301302302301301300297298298296297295291290289288287286286284284286286287289290291292292294294294295297297296296296293294294294294295295294295293293292292294294294295295294297297295294292293293292292291291291291290292291291291289292291292290291290290290289290290290290289289288288288288288288288288287286286286286286287286286286286285285286286285285286285286286285285285285285285285284285284285285286286285285284284285285285284285285286284282285283282283283282282281282281282282283283283284284283283283283283283283283283283283282282282282282281281281281282281281281281281281281280280280278279278278278278278278278279280280281281281280280280280280280280280279280280280280280280280280280280280279279279279279279279279279278278278278278278278279279279280280281281280280279278278278278277277276276276276277277276276276276275276276276276277277277277277276277277276277277276277277277277278278277277277277277277277277277278277277278278278279281281281282281281281281280280280280279279279279279279280280280280280280280280280280281281281280279279280280280279280279279280280280280280281281280280280280280280280280280279279279279279279279279279279279279280280280280280280281281281280280280280279280279279279278278278278278278279279279279279278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281282283282281279277274276274272270270272271271271271271272273275275276272272273273273274274278275274276276277278277277279277279280281281284286289291292293294295296293296296297296297297299298298297297296295295293291288286282279280281284286287287288287286283284285279279281281294297999999999999999999999999999999999284287291294294292293294295294295296296298299301303303305304303304304304304303303303304302302302302302301300301301301301301301301300300299299298297297297298298298297298299299299299299300300301299298296299301300301300301302302300301299299299297297296295294292291288288288287284283284286288290290291292293294294295296297296297295294295295294294294294295293294292293291294295295294294295294297295295294293293293292292292291292290290291292292292290290290291292290290290290290290290290290289288289289288288288289289288286286286287285285287287286286286285286286286285285285285285286286284287286286286286285285285285285285285285285285285285285285285285285286284285284283283283282282282281281281282283283283283284284284283283283283284283283283283283283283283282281281281281281281281281281281281281280280280280279279278278278278278279279281281281281280281280280280280280280280279280279279279279279280279279279279279280279279279280280280280280280279279279279279279279280280281281281281279279278278278278278276276276276276276277277276276276276275275275276276276276277277276276276277277277277276276277277278277278277277277276277277277277277277277277277278279280281280281281281281280281281281280280279279279279279279280280280280280281281280280281280281281281280280279279280279279279279280280280280280280281280280280280280280280280280280280279279279279279279279279280280280280280280280281281281280281280280280280279279279279279279278278278278279280279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282283282280278274273268267267267267267269269269271272273274272272272272272273272274274279277277277277277279278277277279279281281283285288290292294295296295294296298297297298296299298299299298297298297297296295293292290286284284285285286287288287288287288288999999999999294296999999999999999999999999999999999288292293294293293292293295295300299301302302303304303304304304304304304305304304304304303303300301301303302302302302302301301301301301299298298299297297297298298297298298299298299299300301300300300299298301302300298301301302301300300299299297294296296294292291289290288288287286286289290291292292293293295295296296298296296295296296297295295294294294294293291291293294295294294294294293295295294293293294293293292291291292291291292293292292291291290292291290290290291290290289290289288288288287288287288289289287286286287286286287286286287287286286287287286286286285285284286286285287287286285285285285285284285285286285285286285286285286286286286286285284284282283283283283283281282282283283283283284285284284283283283283283283283283282283283283283283282281280281281281280281281281281281280280280280279279279278278278279279280281281281281281281280280280280280280279280280279279279279279279279279279279279279279279279280280280280280280280280280280280280280281281281281280279279279278278278278277276276276276276276276276276276276275275275275275276276276276277276276276276276276277277276277277278278277278277277277277277277277277277277277278278279280280280281281281281281280280280280280280279279279279279279280280280280280280280280281281281281281281281280280280279279280280280280280280280280281281281280280280280280281280280280279279279279279279279279279279280280280280281281281281280280280280280279279280279278279279279278279279279279279279280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282283279275273269269269268267266264267269271273272274271272272272273274275275276277278277278279280278280278277279280282282284285287288290293293295296295296300298298298298298300299299299298298300298297298298299296294292291289286288289289290290289289291289999999290293293999999999999999999999999999999999287287290291291292292293295296297298300302303304304305304303305305305304304305304305304304303303302303303304303302303302303303302302301301300299299299299298297297298298299298299299300300301299299300300300301301302302303303300301298300300299299296297296297296294293292292290290289290291291291292293294294294295297297298297297296297297297298297295295295295294292292293293293294292293294295294294295293294294294293292293291290291292292293292291291291291291292290290290290290290289289289288288288287287288288288288287288288287286287287288287288287287286286286286286285285285285285285284287287286285285285284285285286286285286286286286286285286287286286285285284284284283283282283283283283283283283283283284284284284284284283283283283283284284284283283283282282282282282281281281281281281281280280280280280280280279278278278279279280280281282281281280281281280280280280280280280280280280279279279279279279279279280280279279279280280280280280281281281280281281281281281281281280280279279279278278278278277277277276276275276276275275275275275275275275275275275275276276276276276277277277277277277277277278278278277277277277277277277277277277277277278279280280280280281281281281280280281281280280280279280279279279279280281280281281281281281281281281281281281281281280280280280280280280280280280280280281281280280280281280280281280280280280279279279279279279279279279280280280280281281281281281280280280280280279279280279279279279279279279279279279280280281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280283284282280277276274273271267266265267272273274275273274274276277273274276276277277280280280282281280280281281281282283284286286287289289293295295298297297299298299297299297299299299299299297298299300300300299299300299296294293293294295292293293293294291999291290292291999999999999999999999999999999999287289292293294293295296298298300302304303304305304304305305304305304304305305305305303304304304304303302303303303303304303302303302302301301300300299298298297298298298299299299298299300300299300301300299301300301301298301299299297300300300299299298299298295295295295294293292291292292292293293294294294295294296297296297296297296296297297297295294293294295294293293294294293292293296295291294294293294295294292293292291291290292292291291291290289291290291289291290290290289288289288287288288287288288288288288288287287286286286287287288288288287286286285285285285285285285285284285286285284285285285285285285286286287287288287287286287287287285285285285284284283284283283284283283282283283283283283284284285284285285284284284283283284284284284283283284283283283283282282282282281281281281280280280280280280279278278279280280281281281281280281280280280280280280280280280280280280280280279279279279279279279280279278279279280280280280281281281281281281281280280280280280279279278279279279279279278278277277276275275275275275275274274275275275275275275275275276276276276277277277277277277277276277277278278277277277277277277277277277277277278277279280280280280280281281281281281281280281280280280280279279279279280281280281281281281281281281282281281281281281281281280280280280280280280280280280280281280280280280280281281281280280280279279279280279280280280280280280280280281281281281281281280280280280280279279279279279279279279279279279280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285283278276275272271269267265266268271272271272272272274276276276276276276277278278278280281281280281280281281283285285286287288289291293294295297296299300297299299298298298298298299299297298298299299301299300299298298297295293293294294294295295296292285292290999999999999999999999999999999999999999288291293293295295297298299300300303304304305306306305305304305305305305305305305305304304304304304303303303301302303303304303303302302302302300299300300299299299299299299299299300300300299299300300299300298301301302301301300300300299299299299301298297298297296295296295294294293294294293294294294294296296296297297298296295296296297297297296295294293293294294294294293294291292293293293292293293293294294293293293291291291289289290290291291291290291291289289290290289290288288288288288288288287288287288288287288288288287288286288288288288287287287286286285286285285285285285285285286286285286286286287287287287287288288288287288288287287286285285285285285285285285284284283283284283283283282283284284284284285285285284284284284284284284284284283283283283283283283282282282282280281281281280281280280280279279278278279280280281281282281281280280280280280280280280279279279279279280279279279279279279279280279279279279279280280280281281281281281281281280280280280279279279278279279279279279279278278277277277276275275275275275275275274275275275275275276276276276276276277277277277278277277277277277278277277277278278278278277277277277278278278279279279279280280280280280280280280280280280280279280279279278280280281281281281281281281281282282282282281281282282282281280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280281281281281281281281281280280280280280280280280279279280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285281278277272272270269269269271272270271274275273275275276277276276276277276278280279279280281281280280282284285285286287288290291292293295296298297297298298298298298298298297299300301299298299302302296296297298298297296295295295296296296296295295292286999999999999999999999999999999999999999290291294293296298300299302302303303304304305305305306305305306306305305306305305304304304305305304305305306305305304304303303303303302302302301301300300300300301300299298298299299300300300300300300300300300302302301302301301300300300299299301301300300299298298297297297295295295295295294293293293294295295296297297296296295296295296296297297297296294294295295295295294294293292291294292294294293293294293293293293293292291292291291291290290291290291291290291290290291291287288288288288288288288287287288288289289289289287287288288288288288287287287287287286286285285285285285285285286286286286286287288288288287288288287288288288288288287287286286286286286285285284285285284284284284284283283283283284284284284284284285284284284284284284283284284284283284283282282283283283282282282281281281281281280280280279279279279279280281281281281281281281280280280280279279279279279279279279280280280280279279279279279279279279279280280280281281281281281281280281280280279279279279278279278279279279279279279278277277277277276275275275275275275275275275275275276276276276276276276276277277277277277277277277277277277277277277278278278277277277277278278278279279279279279280280280280280280280280280280279280280279279279280280281281281281281281281281282282282282282281282282282282281281281281281280280280280280280280280280280280280280280280280280280280280280280280280280281280281281281281282282282281281281280280280280280280280280280280280281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999999999280276272274271270270271270271271273274275275275277277278278277277274274276277279278278280282283283285287285285286287288289290292293294295295296297298298299298300301301299299299301300302300300300300300299299299299299299299299298296297297297297296295290999999999999999999999999999999999999999289291292295298300301302304304304304305304306306305306306306306305305305305306304305305305305305304304305304306306304304303303303303301302303304302302301301301301300300300298299299299300300300299302300301301301301301301302300301298301301301299301300299298297298297296296296296296295295294293294295295296297299297298297296296295295294296295295295294295295295295295294293294295293292294294294295294294294293294294293292291292293293293294289291291290290290290291289288288289287288288288288287287287288288288289289289289288287288288288287288289288288287286286286286285285286286285286286286285285286287287288288288288289287288288288287288287287287286287287286286285285285284284284284283283284283283282284284284285284284284284284283283284284284284284284284284283284282283284283283282282283282282281281281281280280280279279279280280280281280281281280280280280279280279279279279279279279279279279279280279279279279279279279279279280281281281282281282281281281281280279279279279278278279279279279280279279279278278277277277277276275274275275275275275275276276276276276276276276275276276276276277277278276277276276276277277278278278278278278278278278278278278279279279279279279279279280280279279279279279279279279279279280280281280281281281281281281282282282281282281281282281282282281281281281281281280280280280280280280280279279280280280280280280280280280281281281281281281282282282282282282282282281281281281280280281280280281281281281281281281281280281281280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999999999999999999999999999999276275274273272273273273272270272273275273276276278278275277275273274276277278278279282281282283284286285286287288289289291292294295295296297297298299300298300299299300298302302302301301298299298298296296293296300300300299299299301300299298296297292999999999999999999999999999999999999999291293294300301303304305305305304305306306308307306307306306306305305305305305305305305306305305305304304305306305305304303304303304302303304304303303303302302301301300300300300299300298300300298300299301301301301301301301300299301300300300299299299299296299298299296296296295295295296296293296295296297298298297298297297295296295295295296294295295296294295294291291292292291292294293294294295295294294294293294293291292292293292294293292290291290290290290290289289290290289288288289289289287288289289289289290290289288288288289288288289288289288287287286286286286286286286287286286285286287288287287288288287288288288289288288288287287287287287286287287287285284284285285284284284284284283282283284284284284284284283284283284284284284284285283284284284284283283283283283283283282282282282282282281281280281280280279279279280280281281281280280280279279279280280280280280280280279280279279280280280279279279279279279280280281281281282282281281281281280280279279278278278278278278279279280279279279278278277278277277277277277276274275275276276277277276276276276277277276276276276276276276276277276276276277277277278278278278278278278278278278278278278278278279278278278278278279278279278279279279279279278279279280281281281281281281281281281282282282282282282282282282282282281281281281281280280280281280280280280280279280280280280280280280280281281281281281281281281282282282282282282282281281281281281281281281281281281281281281281281281281281282281282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999999275278999999281277276276275275274271272272274275276277277275276276276275276276276278277278279282283285285285285287286287288290290291290292293295296296297297298300299300299299300301299301300300300298299298298299300300300297300300301300300300300300298297297294291292999999999999999999999999999999999999291295299300302303304305306307306307307307308307308306307305306306306306307306306306306306305305305305305307306305305304305305305305304304304303303304304303303302302302302301301300298296298300299301301302301300301301301301299298302297300300300300297297298298297298297297299296296297295295295295297297297299298298297297297296296293292293296296296296296295296292292292292293292294294293293294295294294294294294292292293293294294293294293291291291290290291289290290290291292290291291291291290289289289289289289290290290289288288288289288289289288289288288287288287287287287287287286286286287288288287287288288288288288289289288288288288288287287287287287286286285285285285285285285284284284284283284283284284284284284285285284284285285284285285284285284284284283283282283283283283282282282282282282282282281281280280280279279280281280281280280280279280280279279279280279279279279280280279280280279279279279279279279279280280281281281281281281281281281280279279278277277277278278279279279280280280279279278278278278278278278278278278277277277277278278278278277278278277277276275276276276276276276276277277277277278277278278278278278278278278278278278278278278278278278277278278278278278278278278278279279278279280280281281281281281282282282282282282282282282282282282282282282282282282281281281280280280280280280280280280280280280280280280280280280281281281281281281281281282281282281282282281281281281281281281282282282282282282282282282282282282283282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999999282283284282278278277277276277277276274275277278277278279279278278279278278277278282282283284284286287287286286286288289290290291291292295296297298298298301300301301300300301300300300300299300299299298302301298298297301300301301301301300298297296297295293295999999999295294999999999999999999999294297300301302304304305307307306307307308308308308307306307307306306306306307307307307305305305305306305306305305305305306305306305306305305304305305304304304303302302302302301301300301299300301301301302301302302300301298300301301299299299300299298298297298297298297297297295297297296297297296296299298296296296295298297295295295293292295295297296295291295292293292294293294295295294294295294294292294294294292292293294295295294293293291291290290289290291291291291292292292291290291290290291291290290289289290290290289289289288288288287287288289289289288288288287287287287287287287287287288288288288289289289289289289289289288289288288288288288288287287287287287286285285285285285284285284283284284284284284284284285285285284285285285285284284284284284284284283283283283283282282283283282283283282282282281281281280279279280280280280280280280279279279280280280280279280279279279280279280279279280279279279279280280281281281281282281281281281281280280279278278277277277278279280280280280280281280279279278278278278278279279279279278278278278278279279279279279279278277277276276275276276276276276276277277277277278278278278278278278278278278278278278278278278278278277277278278278278278278278278278278279279280281281281281281282282282282282282283282282282282282282282282282283283282282281281280280280280279279280280280280280280280280280280281281281281281282282282281282282281282282282282282281281281282281281282282282282282282283282282283282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285291290999999999282287282282280280280279278277277278279279280281280281282280281279279280281282284285286286287287288288289290290291291290291292294296297298299299299301300301301300301303303302302302303298300302302301300300301301301301302301301301300296296297296296294295999999999298999999999999999999999296297298300302304304306307307307309308308308307308307307307307306307308307307307307307307307306306306305305305305305305306306306306306306305306306306306305304304302303302302303302302301301300301301302302302302303302302301297300301300299300300299299298298298298298299298297297297298297297296297296298299297297296296297298296297295295294295295296295296295295294294295293293294295295295295294294293292293294295295295294294294294296294294292291290290291289291292291291292291292292291291291290291291289289289289289290290290290289289288288288288288288290289290289290289288288288288288288288287287288288288287288288288288288289289288288289289288287288288288288287288285285285285286286286285285284284283284284284285284284285284285284285284284285285284284284285283284284284284284284283283282282283283283282283283282281280281280280279279280280280280280279280280279280279280280280280280280280280280280279280280280280279280281280281281281282281281281281281281280280279278277277277278279279280281281281280281280279278278278278278278278279279279279278278278278278279279279279279278277277276276274275276276276276276277277277277277277278278278278278278278278278278278278278278278278278277278278278278278278278278278278278279280281281281281281281281281281282282282282282282282282282281282282282282282281281281281281281281280280280280280280280280280280280281281281281282282282282282282282282282282282282282282281281282282282282282282282282283283283283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290291291290290287283283282281280279278278279279280281281282282282281282282282282283284286287287289288288289290291291291293292291292294295296299298298298299299301300302301301301303301300299298298298298302301299300301301301301300300301299298298295296296295295294999999298298999999999999999999999293297299301302304306308309308309308308309309308307306307307307307308309308308307308308307307306306306306305305306306305305306306306306306307307306306305305304303302302303302300302300301300302302302302303303303302302302301298301300299299300299299299299297297299298298298297297298298298298298299298297297297298298294296297297296295295295295295296296294295294293294293293293295295294294295295294293294294295295295296294293294294295294294292291290289289290291291291290291290291291291291292292290291290289289290290290290289289288289288288289289289290290290290290290288289288289287288288288288288288288287287287288289289288289289288288288288288288288288288288288288285285287285285285286286286285285283284284284284285285284284285284284284284284285285285285284284284284284284284283284283284283283283283283283283282282281281281280279279279280280280279279280280280279280280280279280280280280280280280280280280280280281280280281281281281282282281281281281281280279279277277278278278278279280280281280281281280279279278278278278278278278279279279279279279279279279279279279279278278278277276276275276276276276276276276276277277277278278278279279278278278278279278278278278278278278277277278278278278278278278278278278279280281280280281281281282281281282282282282282282282282282282281281281281281281281280280280280281280280280280280280280280280280280281281281282282282282282282282282282282282282282282282281282282282282282283282283283283283283282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290293289288287285283282279278277279280279280281283282283284284284285285285285286287288288289290290291291292293293293293293293294295296298298298299299300301301302302303302301300299300300300303301301301300299301300300300301299299299300299297298296297292999999999999297302999999999293289289296298301303303305306307307307306308308308309308308306307307308309310310309309309307307308308307306307306305305306306306306306306307307307307307306305305305305305304303302300301301302302301302303302302302301301301301300299299301299299300299300299299299298298299299299298299300299299299298298299300298297297296296297297298298297296296296295295295295294296293293293293294295295295294294294295295295293295295295295296294294294293295294293292292291290289290290291291292290290291291291292292289290292290291290291291290290290290289289288289289289290290290290290290290289289289289288288288289288288289289287288288288289289289289288289289289288288289289288289288288288286286286286286285285286285285284284284284284285285284284285285285285284284285285284284285283284284284285284284285283284284284284283283283283283282282282281281281280279279279279279280280279279279280280280280279279280280280280280280280280280280281282281282281281281281281282281282281282281280280278277277277278279279280280280281281281280280279279278278278278278279279279279279279279279278278279279279279279278278278277277276275275275276276276275275276276277277278278279279279279279278279279279279279279278278278278278278278278278278278278279279279279279280280280281281281281282281282282282282282282283282281281281280281281281280280280280280280280280280279279280280280280280280280280281281282281282282282282282282282282282282282282282282281282282282283283283283283283283282282282282282282283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290286286284284283281279278277278280280280281281283283287286285286285287286287288289289290290291292293295295295295295295295297296298297297299298300300301302303303302303301300299300301302302302302301301300301301302303303303302302301300298297296297296293293999999999300999999999294293293295299302304304306306307307308307308307307307308308309308309309311310309309309308307310310308306307309308305306306305306307307307306307306307306306306305305305305305304300302302303303302302303303303303302301301302299299300301301300300299301300299299298299301299299299298299299298299298300300300300298300299298297297297297297297296296296297296295294295294294294295295296297297296297295296294293294293295296295295295294294294295295293292292290291290290290290290291292292291291292293293291292293293291291292291290290290290289289289290290290290290289291290290290290289290290289289288289289289289288288287288289287287287289289289289289289289289289289289289289288289289287288287286286285285284284285284284284284285284285285284285284285285284284284285284284284284284284284284285284284284284284283283283283283283283282282282281280280279279280279279279280279280279280280280279280280279280280280280280280280281281281281281282282281281282282282282282281282281280279277277277277278279280280280280280280280280280279279278278277277278278279279279279279278278278278278278278278278278278278277277276276276276275276275275276277277278278278279279279279279279279279279279279279279279278278278278278278278278278278278278279279279279280280280280281281281281281281281282282282282282282281281281281281281280280280280280280280280280280279280280280280279280280280280280281281281281281281282282282282282282282281282281281281282282282283283283283283283283283283283283282282283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287282286283282281279277277277278280281281281282282283284286286287289287289291291291292293291292294294295296296296296296297297297298298298299299301300301302302302303303302300300301303303303303303301301300300299300300301301301300300300300299298297297295294294296293299999999294294297296299302302305306305306307307307307307309308309310310310310309309309311310309309309309310309308306307307309308306306307306307307306306306306306305305304305304304305304304301302303304302302302302301302301301300301298301299300301301301299300300300300300301299299300299299299300300300300297299298297297297299299298298297295296297296295296294296296295295295294295294295297298297297296296295295295295294294296295295295295296294295295294292293292291291290290290290290292292291291291292292293293292294293293293292290290290290289289289289289289289289289289290289289290289289289290289289289288288288288288288288289289289287288289289289290289288289289289289289288288288288288287287287286286285285285285284284283283284284284284283284284285285285284284284285284283284284284284284284284284284284284284283283283283284283283283283282281281281279279280279280279280280279280279279279279280280280280280280280280280281281281281281281282282282282281281282282282282281280279278277276276277278279280280280280280280280280280280279279278278278278279279279279278279279278278279278278278278279279278278277277276276276276276276275276277277278278278278278279279279279279279279279279279279279279279278278278278278278278278278278279279279280280281281280281281280280281281281282281281282282281282282282281281281280280280281280280280280280280279279279279280280280279280280280280280281281281281281281282281282282282282282282282281281282282282282283283283284284283283283283283282283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287284283283281279278277277276278280280278279283281283286283284286287288290290292291291292293293295295296296296297297297297298298298299299299301301302301302302303303302301302302302303303303301301301302301302302302302302302302303303302303302301300298299297298298296999291294297296296298300304303304304305308308306307307307307307310309310310309310310310309309309309309309309309308308308308309308309307308307306307305306307308306305305304305305305305304304302302303303302301301301301301301300299300299299300300301299300301301301300301300300300301300301299300300300298299299298297300296297297300300299297296296297296296296295296296295295294295295296295296295296296294295296295295296295295295296295295295295295295295294292292292291291291289291291291291292291291292293293293293292294293293292290290289289290290289288289289289290290290291290290291290290290290290290290289288289289288288288288288287288288288289289289289289288288288288289288288288288288288287287286286286286287286285284284284284284283283283284284284284284284284285285284284284284285284284284284284284284284284284284283284283284283284284283282282281281280281281281281281280280279279279279279279280279280280280280280280281281282282282282282282282282282282282282282282282281280279278276276277278278279279280280281281280280280280280280279278278278278278278279279279279279278279278278278277278278278278278277277276276276276276276276277277278279279279278279279279279280279280279279279279279279279279278278278278278278278278278279280280279280280281281280281281280280280280280281281281281281281281282281280281281280280280280280280280280280280279280279279279279279279279279280280280280281281281281281281281281281282281281282282282282282283283282283284284284284284284284283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283283283283281279275275277278279280279283284286285287287287287287288291292292291292293293294295296297296297297297298298299299299299300300299300299302303304303302302303303303302301302302302302302303303303304305305305305305304304304304304303300301301300300300298295295296298297296302302304304306306306308308306308307308307309309309310309309309310308308310310308309309310309309309308308308309307307307307307307307306306307306305305305305304305303304303301303302302301301301302301300301302301301299300298301299300301302301302301301301301301302302301301301301302299298298297297299297300299300301297298298298296296295296295295296296295295296296296296295296296295295295295295295294294293295295294293294295294294294293292292291291291290291291291293292292292292292293293293293293293294291291291289290290290290289289290289290290290291291291291289289291291290290289290290289289289289289288288288287287288288288289288288288289289288289288287288288288288287287288288289288288287287287285285285284284284283283283283284284284284284284284283284284283284285285285284284284284284284283284284284283283284283284284283283283281282282282282281281281281280280280280280280280280280280280280281281281281282282282283283283283282282282282283282282281281280278277277277278277278278279279280280280280280280280280280279279278278278278279279279279279280279279278278278277278278278278278278277277276277277277277277278278278279279279279279279279279279279280280280279279280279279279279279278278279279279279278279280280280280280280281281281281280280280280280281280281281281281281280281280281281281281281280280281280280280280280280280280279279279279279279279280280280281281281281281281281281281281282282282282282282282283283283284284285284284284284284283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288286284284285285282281276274270275277276280284283288290290291291292291290291293294295296296296295295295296296298298298298298299300300299300300300302302302303303303303303302303303303302302303303303303303304304304304304305306306305304304304303303304303303303301301300300299298298296297299303303304306306308309310309309309309309310310310309309309309309309309309309308307309311310309309309309308307308307307308308308307306306306305305306305305304305305305305303303303303302302302302301302302302302302298298298301302300301302302302302300301302302302302301302301301301301301301301300299299298299299299299298297298297295297296296298296296296296296296295296295296296296295296296295294295294294294295295296295294295294293292292291291291291291290290290292291292291291291291292293292291292292294293292292291291290290290289289289289289290291290291290290290289290291290289288289289288289288287288287288286287288287287288289289288288288289289287287287287287288287286286287286286286286287286287287286285283283284283283284284284284284283283283284283283284284284283284284285285285284284284284283284284283283283283283283283283282282282282282281282281281281281281281281281281281281281281281281281281281282282283283283283283283282282282283282282281281280279278277278277277278278279279279280280280280280280280280280280280279279279279279279279279280280279279279279278278278278278278278277277277277277277277278278278278279278278278278279279279279279279279280280279279279279279279279280280280279280280279279279280280280280280280281281281281281280280281281281281281281281281281281281281281281281281281281281280280280280280280280280280280279279279279280279280280280280281281281281281281281281282282282282282282283283283284284284284284285284284284284284283283283283283282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290289288288287285284277276274268267272275278279284285287288289289290290288290291294295296296295295296296298297297298297298299299300300300300300301302302302302303303303303303303302303303303302302303304304304304305305305304305305306305304304304305304304304304304301299300299300299298999300303302303305307307308307308308307310309311310310310309309309308308308309309309307307309308310310309309309306306307308308306307307308306306305305305305304304304304304303303303303303303302302302300301301301299299300300300300300300302302301301300301301302302302302302301302301301301301300299300297297297297300299298298299297296296297295295295295297295296295296296296295297296297296296295296294295295294293294295295295295295294293292292292291291291290290290290290291291291291290291291292292292292291292292292292292290291291289291289289288289289290290289290290289290289289290289290288289290289289288288289289288288287286287287289288288288287287288287286287286286286287287285286287287286286287288287286287286285284284284283283283283284284283283283283284283283283283283284284284285284285284284285284284284284284284284283282283283282282283282282282281282282281281281281281282282282282282282282282281282282282283283283283284283284284283283282282282281281281280279278278277277278278278279279280280280280280280280280280281280280279279279279279279279279280280280279279279278278278278278277277277277278277278278278278278278278278278278278278278279279279279279279279280280279279280280280280280280279280280280280280280280280280280280280281281281281281280280281281280281281281281281281281281281280281281281281281282281281280280280280280280280280279279279279279279279279280280280280280280280280280281281281282281282282282283283284284284284285285284284284284284283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299298295294291291288286282279274271270271273274277281283285287288289290291291290288291293294294294296297296297297297298297298298299300300300301301301301302302303302303303303303303303303303303303304303302302303303304304305304305305305305307305305306305305305305305304306304303301301301300301999300302304304305307306308308309308311307308311311311311310309309309308305308309308307309310310309308308308309308308308308307306307308308307305306305305305305305304304304303303303303303303303302301300300300300298301300300303301302302303303302302302302303301302302302302302303302301302300298300299297297298299300299297298298296296295295295298296296296296295296296295297295296296296295295294297295295296295295295295295295294294294292293293292292291291291291290290289291291291290291291292292292291291290291291292291291291290291291289290289288288288289289289288289289288290289289290289290289289289288288289289288288288288288288288287285288287287288287287287285286286286286287285287285285285286286286287287288286285284284284282283283283284283283283283283283284284282283283283284284283284285284285285285285284283284283283283282282282283283282282282282281282281281281281282282282283283282282282283282282283283283284284284284284284284284284283283282282282281281280279279278278278279279280280280280280280280280280280280280281281280280280279279279279279279280280280280279279279279278278278278277278278278278278278278278278279278278277278278278278279279279279279280279280280280279279280280280280280280280280280280280280280280280280280280281281281281281281281280280280281281281281281280281281281281281281281281281281282281280280279279279280280280280279279279279279279279279279279279279280280280280280281280281281281282282283284284284284284284284284284284283283283283283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300302296298298298296293292289284282277275273274274275277282285287288290290292292293292292292292293294294296296296297296297297298298298299300301301300301301302303303304303303303302303302303304304303303304304304304303303304304304305305305305306307306306305304304306306306306306306304302304304301302300301303303305305305306308308308308308310311312311311309309310310308308306307309309308308308308308308308307309308307306307306307307307306306306305305305305305306305304304303302302303303303301301301302301300300300300300300302302302302302302302302302303304303304302303303303302303303301300300300300298299297299299299296297298297296296298297296295296297296296296296296297296297296296295294295297297296297295296296294295294294293294293292292292292292292292291291291290290290290290290291292291291290291292292291292292292290291291291290290289288288289289289289289289289289289288288290291290290289289289288288288288288287288289289287287288288287287286287287287286286286286286286287286286286286286286287287288289287286286285284284284284283284283283283284284283283284283283284284284284283284284284284285285284284284284283283283283282283282282282282282281281281281281281282282282282282282282282282283283282283283284284284284285285284284284283283283282282282282281280279279278278278279280280280280280281280280280280280280280281281281281281281280280279280279280280280280280280280280279279279278278278279279279279279279280280280280280279278278278279279279279280280280280280280280280280280281280280280281281281281281280281281281281281281281281281281281281280280280280281281281280280280280280280280280280280281281281281281281281280280279280280280280280279279279279279279279279279279279279279279280280280280280280280281281282282283283283283283284284284284283283283283282283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301296298299298298299296293292290286286282276275274275276276281287289290291292294294292292293293294294294295295295295295296296296298299299300300301301301301302303303303304305304303304303303304304304303304305305305305304304305305305304305306306307307307307306305306307307307306305304304999305306302999300303304304305306307308309309310310308311312312312311311311308308309308307309308308307306307307307307309307308307307307306306306306307307307307306305304305305304304303302303300302303302303301302302302301301299300301300301302302302302302302302303302303304303305304304303302302302301300300300299297300298299297296299296297298298297297298297297295294296294294295296295295297298297295296298295298297296295296295294293295295294294294294293293293292292292291291291290290290290290290291291291289290289289291292292292290291291291292290289289289290289289289289289289288289289289290290291291291291290289289288287288287288288288288289288288286288288287286287287286286285285285286286286287285284284285286285286286287288287287285283285284284284284284284284284284283284283284284284284284284284284284284284284284284283283283283282283282282282282282281282282281281280281281281281282282282282283283283283283284284284284284285285285285285284284284283283282282282282281281280279279279279279279279280280280281281280280280280280280281281281281282282281282281280281280281281281281281280280280280280280280280280280281281280281281281281281281281281280280280280280280280280280281281280280280280280280280280280280281281281281281280280280282281281281281281281282281281280280280280280280281280280280280280280280280280280280281281280280281281281280280279279280280279279280280279279279279279279278279279279279280279279280280280280281281282282282283283283283283284284284283283283283282282282282283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999293294296298294292292293294294295292292295292288285282279276273275274277280284288290293292292292292292294294294294296296296295294295296296297299299299300301301301301301301302302303304304304304303303304304303304304305305305305305304304305305305306306306306307307307307306306307307307307306305302999999999304302298302303304306306306307308308307308309311312312312312308309307307307308307307308309308308307307307308308307309306306306306306306306306306306306306305304304305305304304302303303301303304302302303303303303302302300300301301302302302302302302302302301303302305303304303303302301301302301301300300300300301299301296299298296298298298298298297297297296296296296296297297296297296296298298298296296297295295296296296296295294294293294294293294293293292292292292291291291290290290290291291291289289289290291291291291291290290292290291291289289290290290289289289288289289290290291291291291291292292291290290288287288287287288287287288288288287287288287286286286286285284285285286285285285286285286286284285286287287286288288285285285285284284284284284284284284284284284285284284284284285285284284284284285284284283283283283282283282282282282281281282281281280280281281282281282282283283283283284284284285285285285285285285285285284284284283283283282282282282281281280280279279279279279279279279280281281280280280280280280281281282282283283283283282282282282282282282282282282282282281282281281281281281281281281281282281281281281281280280281281281281281281280281281281281280280280280280280280280280280280281280280280281281282281282282282282282282282281281280280279280280280280280280280280279279280280280280280280280279280280281281281280280280280280280280280279279279279279279279279279279279279279279279279280280281281282282283283283283283283283284284283283283283282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294294293289999999999294299294291289291288285283281277273273273275278281285289291292294293292294294294294294295295296296296296296297297298299299299300301301300300301301302302303304304306304304303303304305304305305305306306306304304305305305306305306307306307307307306307307307307307307306304301999303303301298302304305306306307307308308307307308311311309308307308310307307308307309307308308308308307307306307307308308308307305305306307306306306306305305304304304304304303304302302303302304303303303303303303303303302302302301301302302302302301302302302303303302302303303302302300301302301301301303301300300301301300300297298298298297297297297297297297295296296298296297297298297296297298299298298297296294295296296295295295294295293294293294293293292291291292291291291291290291290291291291292289290291291291290290290290289290290290290291288288291291291291289288288289290290291292291292292292293292291291291289288288287287287287287288288288287287285285286285285284285285286286285285283284284283285284284285285286286287286287287285285284284284285284283284284284284284284284284284284285285285285284284284285284283284282283283282282282283282282282282281281281280281281281282282282283283283283284284285285286286286285285285285285285285284284283283282282281282282281281280280280280280279279279279280281281281281280280280280281281281281283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281281281281281281281281281281280280279280280280280280280280280281280280281281281281282282282282282282282282282281281280279280280280280279279279279279278279279279279280280280280280280280280281280280280280280280280280279279279279279279279278278279279279279279279280279280281281281282282282282282283283283284284284284283283282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297290289288999286283282276272273275275278283290291293294295294294294294295295294295296296297297297298298298299299300300301301301300301302302303303303303303305306305304305304304304305305306305306305304305305305305305304304304306305306307306307307306307307307307306303303304303303301302304305307308308309309309310308309309311308308310309311309309309308308308308308308308307307306306306307308307306306306305307306306306306305305304304305304305305304304303304303303302305304303303303303302302301302301301302301302302303303303303303302304302302302302302302301301301301302301301301301300300301298297297298300297298297298298299298298298298299297297296298297297297296298298297297295297297296295296295295295295294294294294293293292291291291291291291291291291292291291292290289290291292291290289291292290290289290291291290291291291290289289289290291291292292292293293293293293293292292291290290288287288288288287288289289288288289288287286286284285285285285285285285285285284285285286287286288288287288287286285285284285284284284284284284285284285285285285284285285285285285285285285285284284284283283284283283283283283283283283282282282282282282282282283283283284284285286286286286286286286285285285285285285284284283283282281281281282281281281280280280280279279279279280280281281281280280280280280280281281281281282283283283283283283283283283283283282283283282283283283283282282283283283283283282282282282281281281281282281281281281281281281281281280280280280279280280280280281281281281281281282281282282282283283283282282282282282282281280280280280280279279279279279279279279278279279280280280280280280281280280281281280280280280279279279279279279279279279279279279279279280280280280280281281282282282282282282282283283283284283283283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296290290286999999999279275276277278280283289292292293296296296294294294294295295295296295297298299299299299299299300301301302301301301301303303302303303304305305307304304304304304305306305305305305305305304305303304304304304306305305306307306306306307307306307306305304306304303304305307306308308308308308308309308309312311312309310309307306309308308309307307307307307306306306306306306305305305305304306306306306306306305304305305305302303304304303301303302303302303304304303302302301302301300301301302302302302303302303302302302301300302302301301302302299301301301301300300300301300298300297296297298297298297297297298296298296297297298296296297297297297297297296297296297297297297296296295295295295294295294293293292292291292292292292293292292291292292291292292292292293291292291289291291290290289291292291289292291290289290289291291292293293293293294293293293293292291291291291290287289289287287288288289289290285286288288286285285285284283283286285285283284283283284286285285287285286286287285285284285284284285285285284283284284283285285285285286285285286284285285284285285284284284284284284284283283284284283283283282282283282283283283283284284285286286286286286286286285285285285284285284284284283283281281281282281281281281280280281281280280279279279280281281281281281281280281281281281281281281282282283283283283283283283283283283283283283283283283283283283283283283283283283282282282282282282281281281282282281281281281282281280279279280279280280280280281280281281281282282282282283283283283283283283282282282283283282282281281281280279279279279279279279279279279279279280280280280280280280281281282281280280280280280280280280279279278278278279279279279279280280280281281281281281282282282281282282283283283283283283282282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284281999280275279280283287289293294294294295296296294294294294295295297296296298299299299299299299300300301302301301301302302303302302303303305304305306304305304305305305306305305304303304303303303303303304304304304305305304305305305305307306306306306306305306307305306307307307308308309309308309309309308309309310309310308308309309308307308307307307307307306305306306306306307305305306306306305307304306305305305305305305305304304303302302302303303302303304304302303302302304301301303302302302302302302302302302302301302302302301302301301301297300300301300300300301301300300298298297297298297299297297297296296296296296297296296297297297297295297297297295297297297297297296297296296295295295295294293293293292292292292293292292292292292293292291291292293293293292291290290290291290290289291293291291291290290289290291292292294294295295295294294295294293293293293293292291288288289288288287287289289288288287289285287285285286284286286285285286284285284282286284285285287287286287286286285285284284285286284285283283283284285285285285285286285286285285285284285285284284284284283284284284284284284284284284283283283284283283283284284286285286286287286286286286286285285285285284284284284283283282281281281281281281281281281281281281281280280279279280281281281281281281281281281281281282282281281281282282283283283283283283283283283283283283283283283283283283283283283283282282282282282282282283282282282281281281282281282281280280280280280280280280280280281281281282282283282283284284283283283283283283283283284283283283282282281281281281281280280279280280280280280280280280281280280281280281281281281280280280280279279279279279278278278278279279279279279279280280280280281281281281281281281281282282283283282282282282281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280274278282283287291293295296295295297295296296295295296296297296296297298299300299300300300300300301301301302302302302303303303304304305305305305305305305304305305304306304304304304304302302303302305304304304304304305305305305305304306306306306306306307306307307308307307308309309310310309309310309310311310309310308308308309307307308307308308307307306306306306306306306305306306306305306306307305305305306305305304305305305303302303303304303301305304303303302303303302302302301302302301302302303302305302302302304302301301302300300302301300300301301299301302300299300299298298300297297298297297297298297296295297298297298297298297298295296297297298298297298296297297297297297296295295294294293293293293293293293292293294293293293293293292292294294293294293291289290291291292292291291291291292291290290291291292293294295295296295295294294294293294294293293293293292290289288289286286287286287289288288288289287287286285285286285285285286285285286284286287287286287288287287288287287286285286285286285284284284285285285285285285285285285285285285286285286284285284284283284285285285285285285285285284283283284284284285285285286287286287287287286287286286286285285285284284284284283283282281281281280281281281280280280281281281281281280279279280280281281281281281281281281282282282282282281281282281283283283283283283283283283283283283283282283283283283283283283283283282283282282282283282282282282282282282282282281281281281280281281281281281281281281281281282283283284284284284284284284284284284284284284284284283283282282281281281281281281280281280280280280280280280280281281281280280281281280281280280280279279279279278279278278278279279279279279279279280280280280280280280281281280281282282282282282282282282281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286285277277279282286290292294295296295297296296296296295296297296296297298297299299300301301301302302301302302302302302303302303303304304304304304305306306305305305305305306306304304304303303304303303304305305304305304305305305306305305305306306306306307307307307308309310308308310309309310310309311311310309309311309310309308307309308308308308307307306306305306306306306307306307307306307307306307307306306307305306305305305305305304304304303305303304304304303303303304303303303302302301303302303302301301303302302302303303302302302301301299300300300300301299299301300300299298299298299299299299297296297296299299298297297297296297299298299296298298297298298297299298297298296297298297295295294294294292294294293293293293292293294293293294293293294293294295294294291289290291290290291291291291290292291290290292293293294294295295296295293294295294293293293292293293293291288286288288288286286287289288289286289290288288285284284284284283286285284284284283284285287285285285285285285286285285285285286285285284284285284285285285285284284284285284284284284284284285284283283284284285285285286286286285285285284285284285285285285286286286286287287287287287287287286285285285284284284283283283282281281281281281281281281281281281282281281281279279280280281281281281281281281282282282282283283282282282281282282283283283282283283283283283283283283283283283284284283284283283283283283283282282282282282282282282282282282282281281280281281281281281281281281281281282283283284284284284284284284284284284284284284284284284283283282282282282281281281281281281281281281281281280280281281281280280281281281280281281280279279279279279279279279278279279279279279280280280280280280280280280280280280280281281282282282282282282281282282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287287280277276280283288293296297296298295297297297296297297297295295296296297298299299301301301301302302302303302302301301302302303303304304305304305305306306305305305306305306304304304304302301303303302304304304305304304305305305305305305306306306306306306307308308308309310310309308309313310310309311310309309310309310309307307306307308306308308307307307306306306306305306307306306305306306306307306305305306305304305303305305304305304304304303304305304304303303303303304303303303301301303303303302303305305302303303303302301302301301300300298298302302300300301299300300299299298298299296297297297297297297297297298298298297294298299298299299298297298298298298299298298298299297296296296296295295295295295294293293293293293292293292293294293294294294294293293294294291290291292291291291292291291292292293293294294294294295294295296297295294294296294292292292292293292292290288286284286289288290288289289289289289290289288287286283285286286286285285284287285285284285285286286287285285284285285285286286285286286284285284285285285285284284284285285285285285284285284285284284284285285286286286286285286286286285285286286286286286286286286287287287287287287286286286285285285284284283283283282281281280280281281281281281281282281282282281280280280281280281281281281281282282283283283284284284284282282282282282282283284283284283284284284284283283283283284283284283284283284284283283283283282283283282282282282283282282281281281281281281281281281282281281281282283283283284284284284284283283283283283284284284284284284283283282282282281281281281282282282281281281281281281281281281281281281281281281280281280280279279279279279279279279279279279280280280280280280280280280280280280280280280280281281281282282282282282282282281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999292283282281282285288292295296296298297296296297297297297297297295297297297297299300301301301301302301302302301301301301302303303303303304304304305305305306305305305305305305304304304303303303303303304304304305305305305306306306306304305306306307306306306306309309309310308309308312313311311310310310310310310308308309308310307308307307307307308307307306306306306306307306306305306306306306308305306304306305305304307305304304305306306304304305304305304304304303303303304304302302301303303302302301302305303302302302302299301301301301300300301302301301301300301301298299299299299298298297296296297296297296296296296298296297296297298298295295298299297297298299300300299298298297297297295296296296296295295294294293293292292293293292293294293294294294293294293294293290290291293293292292291291291292292293293294294294294294295295295297295296296296293292292293292294293291291291286287288288288289289288289289289290290290288286285285285285285286286287286287285284285287286286284286285285284284284285284284286287286286285285285285285285285285285285285285285285286284285284284284285285285285286286286286287287287286286286287286286286287287287286287287287287287286285286285285284284284284283282282282281280281281281282282281282282281281281281280280281281281281281281282283283284284285285285285285285284283282282282283283283284283283284284284284283284283283283284283283283283283283284284283282282282282282281281282281281281281281281281282282282282281282282282283283284284285285284284283283283284284283283284284284284284284283283282282282281282281281282281281281282282282281281281281281281281281282281281281281280280280279279279279279279279279279279280280280279279279280280280280280280280280280281281281281282282282282282282282282281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999999288287286285285286287288290293295296298298297296297298297296296295296297298298299300300300300301302302302302301301300302302303303303303303304304304304304304305305305305305305305304304304304304304304304305305305305305306305305306305305306306307307307308307307308308309309310310310311313311311310310311310310309308307310309309310308308309308309309309308308307306306306307307306307307307307307307307306306306306307306308308307307306307306305304304306306305305305305304303302301303301302303303303303302302302303302302302302301301301299300300300302302301300301301301301301298299299299298298298297296296299299296296296296296297298296297295296299298298298299298298299299300299299299299298298298296297296295296296295295295294294293293293293293294294294294294293293294294293292292292293293293292291291291290292293293293294294294294294295294296297296296297296294293294293294295294292292292291289289287289287287288288290290289290289289288287285284284285286286287286287287287287287286286287287286285285286286285285285285285286285286286285285285285285285285285285285285285285285285285285284285285285286286287287287287287287287287287287287286287287287287287287287287287287286286286285285284284285285284283282282281281281282281282282282282281281281280280281280281280281281281281283284285285285286286286285285285285284282282282281283283283283283283284283283283283283284283284283283283283283283283283283283282282282282281281281281281281281282281282282282282282282283283283284284284284284284284284284284284284283284282283284284284283284284283283283283282282282282282282281281282282283282282282281282282282282282282281281281281280280280279279279279279280280279279279279279279279280280280280280280281280280280280281281281281282282282282282282282281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299294290287287287288287288291293293296296295295296295297296296296296297298297299301301300299301301302302301302302303303302303304303303304304304305305305305306306304304304305305305304303304304304303303304305305305306306305305306306306306306306307307307307308308308309309310310312312313310310311310311311310309309307309307308310309309307307307308308307307307306308307306306305307307307307306307305305307308305306305306306306306306305306306304306305306306306305304301302302303303302304303302302303303303305301302302302303302301302301302301301299302300301301302302301301298299299299298297299297296297298298298297296296297297297298297296298299299298297297298297298298299299299299299298298298297295295296296297296295295295295294295294294293295294294294294293293294293292291292293293293293291291291292291291293293295294294294294295296296296297298297297295293293292293292293293293293291291290288289288289288289289289287289290290289290287286285284285285286286285287287286287286285285285287285285286285285286285284286286285286286286285286286285285285284285285285285285285285284284285285285285286286286286286287287287287287286287287287286287287287287287287287287287287287286285285284284284285285284283283282281280281281281282282281281281281280280280281281280281282282283284285286286286286286287286286286285284283283282282282283283283283284284284284283283283283284284284283283283283283283283283283283283282282282282282281281281281281281281282282282283283284284284284284284284284285285284284284284284284284284284283284284284283284283283283283283282282282282282282282282282282282282282282282282282282282282282281282281281280280280280280280280279280280279279279279279279279280280280280280280280280281281280281281281281281282282282282282281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999297290290289290289288294292294293295295294295296296296296297296296297298298298299300299299300300301301302302302303303303303304304303304304305305304305304305305304303304304303303304304304304304304305305305305305305306305305305306307306307307307307307308308309309310310310311313310311312313310310312312310309307307308308309308310308307307307307307307308307307308307308307307307308306305305307308308307309307307307305306306305305306305306305305305306305305304303302302303303303303303303304303303303304302302302302303301303303302302303302302300302300301301301299299300298299299299298299299298297296297297297296296297297297297297297298298298300298297297298297297298299298299299299298299297299298296296296296296295296295295297294295295295294294293292293294293294293293293292292293292293291290291292292294294295293293294294294295297297297298298298296294293293293293292294295294295291287290289289290289290289289289287288289289289288288287286286286284285285284285287286286286286287285284285285285285285285286287287285286287284285285286286286285285285285285284285285285285285285285285285285286286285286285286286286287286286287286287287287287287286287287287287287287287286284284284284283284284284283282282282281281281282282282281281281281280280280280280281281281283284284286287287287287287287287286285285285284282282282282282282283284284284284284284283284284284284283284283284283283283283282282283283283282282282282282282282282282282282283283283284284284284285285284285284285285284283283284284284284284284284283284284284284284283283283283283282283283283283282282283282282282282283283282283282282282282282281281281281281280280280280280280280280280280280279279279279279280280280281280281280280280280281280281281281281282282282282282282281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292302300292999292291290291291289290293295293293292293294295296295294296295296296296297297298298299299300300301302302302302303303303304304304303303304305305305304304305304302302303304303303303303303304304304305305305305305305305304305304305305306306306307307308308308309309309310310310310311310310310311311310311310309308309308309308308308309309309308308308308308307306307307307307308308308308307306307308309308309309308308308308307306305305306305305305305305304306306305304303303303304303303302304304304303303303302302303303302301302302302303299302301302302301301300299298299299298300300300298300299298297296297297298298299297297297296298298298298299299299299298297296298298298300299299299298297299298298297296295296295297296294296294294296295295294294292295293294294294292295294292294295295293292292292293293294294295294294294294294295297297297297298297295295293293292293293294295295294292290289289290289290288288288288289288288289288287287289288286286287286286286286287287286286286285285285286285287286285285286287287287286287286286287287286286285286286286285285284284284284284285285285285285286286286286286285286286286286286286286287286286286286286286287287287287287287286285284283284283283283283283283282282282282282282282281281281281280281280281281281281282283284285285286287287287287287287286286286285285284284283282281282282283283283284284284284284285285284285285284284284284283283283282282283283283283282282282282281282281282282282283285284284285285285285285285285284285285284284284284284284284284284284284284284284284283283283283283283283283283283283283282282282282282283283283283283282282282282283282281281281280280280280280280280280280280280280280279279279280280280281280280280280280281281281281281281281281282282282282282282281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299292292291292290289291292294294293294292294294295295295294294295295297297297298298298298299300301301302302303302303303303303303304304304304305304304304304304304304303303304303303303304304304305305305304305304305306306304304304305305305306306307307307308308309309308310310310310309311310311311311310311310309309309309309309308308308310309308308308308308307308307307307307307307307308307308308308309309309308308308308308307306307306306306305305307306306304305305305304303304304303301303303303303303303302302302302302302302302302302300301302301299301301300300299298299300299299300299297297299299297296296297299299299297299297297298298299298298298298298298298298298298299298299299298299300298298297296297296297297295296294295295294295295295295294294293293294294294294293295293294294294293293292292293293292292294295295294294295294295298296296296297296296295294294293293294294293294293289289290290289289288289288287288288285287288287287288287286287286285285286284285284284286285285283284284284284285284286286286287288287287286285286286286286286285286285285285284284283283283285283285285285285286285285285285286285284285284286286286286287286285287287287287287287287287285285284283283283283283283283283283282283283282282282282282281281281281280281281281282283284285286287287288287288287287286286287286286286285285284282282282283283283283284284285285285285285285284284285284284284284283283283282282283283283283282282282282282282282283283284284285286285285286285285285285283285284284284284284284284284284284284284284283284283283283283283283283283283283283283282283283283283283283283283283283283282282282282282282281281281281281281281281281281281281281281281280280280280280280280280280280280281281281281281281281281282282282282282282282282281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302298292292293291291292295295295292294295294295295294295295295295296297298298299298298299299300300301302301302303303303303303303304304304304304304304304303304302303302302303303303303303303304305305305305304304305306305306304305304304304304304305306306307307308309308309310310310310310310311311310311309309310310309310309308308308308309309308308308308308307307307308308308308308308308307307308308308309309309308308308307307309308306306306304306306306305305304304304303303304304303304304303302303303303303302302302302303303302302302303302302302301301301300300298299300299299300300299300300300300300298297296297297299298298298297296298299298298298298298297298298297298298297297298297296299299299299297297297297296296296297296295294294294295295294295296292291292291291292292293293293294294293293293291293293292292293294293292294295294295296297296296296296295296295293293294296295294294291290289290290290289289288288288288288288288287286287287287286285286284285285285284285286287286285284283284284286284284286286286287288287288287287287287287287287287286285284284284284284284285284284285285286285285286284285286286286286285284286286286286286286286287287287287286286286287286286284283282283283283283283283283283283283283282282282281281281281280280281283283284284286286287287288288288288287286286286287286286286286285285282281282282283283283284285285285285285285285285284285284284284283283283283283282282282283283283282282282282283283283284284285285285285285285285285284284285285284285284284284284284284284284283284283283283283283283283283283283283283283283283283283283283284284283283283283283283282282282281282282281281281281281280281281281281281281281281281280280280280280280281280280280280281281281281281280281282281281282282282282282281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299295295293292293296294293295294293293295295296296295295297295295297298298299300300301300299300301302303303303303302303303304304303303304305304304303303302303303302302302303302303303304305304305304304304304304305305305306305304304304305305306307308307307308309309310310310310310310311311311310311310311312310309309309309308308309308308308307307308308307308308307308309309308308308308308308308309309309309309309309308307308308306306304305306305308308303304303304303304305303304304304302304304303303303302302301302302301301302301302302302301301301301299299299299300299298299301300300300300299300299298297297298298298298298299298298298298298298298297297298298297298298298299297298297300300298298298297297298297297297296296296294294294294295295294295294294291293292292292293291292293294292293291292293293294293293293292293294295295295296298297297295295295294293292293293294294293293291291291290290290289290290288288287288288287288288288288288285285286285285286282283286286287286286286284286284286284286285286287288287288287287287286286287287286286286285285285285284285284283286285285284285285285284285286287286286286285285284286286287286286287286287286286287286286286286286284282282282282281282282282283283283283283283282282281281281281281281282283284285286286287288288289288286287287287287287286287286287286286286283282282282282283283284284284284285284284285285284284284284283282283283283283282282282282282283283282282283283283284284285285285285286285285284285284284284284284284284284284284284284284284284284284283283283283283283283283284283283284284283283282283284283283283283283283282282282282281281282281281281281281281281281281281281281281281281280280280280280280280281280280280280280281281280280280281281281281281282282282282281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295293296294295296298293294295295295294294296296296295296296296297297298298299299301302302301302303303303303303303302304304304304304304305305304303304302303303303302302302302303303303304304304304304304304304305305305304305304304303303305306307307308308308308308310310311310310310311312311311311310311311311311310309309309308309309308307307307307308309308308308308309309308309308308308309309309309309309308309309307306305311307306307306306306309308305306305304304304306305302303303303303303305304303303303302301302301301302301301301301302301301301300299299299299300298298298300300300300300301298298298298298298298298298298298298299299298297297298298298298299298298297298298298298298299299299298298298298297297297297296295295294295295294295294295295294294293293293293293294293293294294294293293293292293294293293293293294294295296295296297297296297296295295294295293292294294292291291291290290290289289289291291288289289288288288288288289288287287286285285285283284286286287286286286287284287287287287287287287287287288286286287287287287286288287288289288288286285285285284286285285285285285285285285287287286287287287286285286286286286287286286286286286287286286286286285284283282282281281281281281281280281282282283283282282282282281281282283284285285286286287288288288288288287287288287287287286287287286286287284282282282282283283283284284284284284284284284284284285284283282283284283282282282282281282283282283283283284284284285285285285286286286285285285285285285285285285284283284284285284284284283284284283284284284283283283283284283283283283283283283283283283283282283283282281281281281281281281281281281281281281281280281281281281281281280280280280280280280280280280280280280280280281281280280281281281281281282282282281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305299298295292296296299294293293295294295295295296296296296296297298297298298298299299300301301301300301302303303304304303302303303304303302305304305302303302302302302303302302303303304304305305305304305306305306305305305304304304304304302302304304306307308309309308309310311310310310311312312312310310311311311310310310311310310309309308307308306307308309309310309309309309309308308308308309309309309309309309308310307306307307307308308307306307307306306305306305305305305306304303303303304302303304304304304303302299301301302301300302301300302301301300299300299299299298299298297298299297300300300299298301297298298299298298301299298299299298297297296297297298298297297297298299298299299298299299298298298297297298297296296294294294296295294294294294293292294292291290290291291293293294294292291292292293293294292293293295293294294295295296296297296297296296296295295294293291292292291291292291289289289289289290290289288288287286288287288287287286286288285284284285283283283286286286286287285285285285285285286287288288287285286286288289288286287288286286286287287286286285286286286286285285286286285286286286286287287287287286285285286286286287286286286286287286287287286286284283282282281281281281280280280280280282283283283282282282282282283283285285286286286287288287288288288288288288288287287287287286286287287286284283282283283283283284284284284284284284284284284285284283283284284284283283282282282282282282284283284284284285285285285286286286286286286285285285285285285285283284285285284284284284284283284284284284284284283283283284283283283283284283283283282283283282282282282281281281281281281281280281281281281281281281281281281281281281280279280280280280280280280280280280281280280281280281281281280281281281282282281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297288290292296298296295295294294293295295296297297297299296296297298297298299298300300300300299300302302304303304301301304303303302303305304304302304303301302301303302303302302304303305304305305305306305305305305305304303303304304301301301301303305307309311309309310309310311311311312312311311310310310310310310310310308309308308308307307307307307308309309309308309309308308308309309309309310309309309308308309310307307308308308308307306306305306306305304304303304304304304304303303302302303304304303302302300302301301302301301301301303301301301301300300299299299300300299298297297298299299299299299298298299299299299299300300299299299299297297297296297297297297297298297299298299299299300298297296297297297297297296296294294294294293293292293293293293292291292290291291291293293293292292293293293292294294293293294295295296296295294296296297297296296297296295293294293295294292292292292290290289288290289288289291288287287287287287286287286287286286287286285284283283283285284286287287287286285284284285285287288289287286286288288289286287288287288289289288287286286286286285287286286286286286286286285286287286286287287287286286286286286286287286286286287287286286286286284283282281281281281281281280280279279279282283283283282282282282283284285285286286287287288288288288288287288288288288288288288287287287287287285283283283283283283283284284284285284284284285284284284283283284284284284283283282282281282282283284283284284284284285285285286286286286285285285284286285285284284284284284284283284285284284284284284284284283283283283283283284283283283284283283282283283283283283281280280281281280281281280280281281281281281280281281281281281281280279279279279279279280280280280280280281280280280280280280281281281281281281281282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300293287289293296296295294294294293294296293297297297296297297297298298298299298299301301301301300300301302303303302302302304304304306304304304303303303303300301302301302302302303303305304305306306306305304304304304303303303303303303301300304298301304306308309309309310309310311311312312312310310310312311312311310310310309309308308307307308308307307307308309309308309309309309309310310309310310308308309309307308308307307307308306307306307306307306306306306305305304304304303303303302303302304303303302302302302301302301302302302300302302301302300300301301300300300300300299298297297298298298300300299299300300299300300299301302300300299299298297297296297297296296297298298299299299299299299299298297298298298297297296295294294293293293294294293294294293293291291291292291291291293292293293293293293293293293294294295294295294295295295295296296297297297297296295293294294294294293292293293292291288288289290288289290290288287286286287285283288287285289288286285283283283284283284286287284285285286284285284286286287287287287286287287286286286288289287288289287286287286286286285286286285286286286286286286286286286287287287287287287287287286287286286286286287286286286286286285283282282282281281281281280279280280280280283283283283283283283283284285286286287288288288288288288289288287288288288288288287288287288288287285283283283283282282282283284284284284284284283284283283283284285285284284283283282282282281281282284284284284285285284285285286286286284284285284285285285285283283284283284284284284284283284284284284284284284284284283283283284284284283283284283282282283283282282281281280281281280281280280280280281281281281281281281281281281281280279279279279279279279279279280279280280280280280280280281280281281281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294292291293292291291291292293295297295295297298298298297297298299297301299299300300301304302305304303303304304304305305305304306305304307303303304305306304303303302301301302302304305305306306306306306305304303303303302302301301300999999300300302305305308309309311311310311311312312312311311311310310310311310310310309309308309309309307307308308308309309310309309308308309309309309309308309309307308309308307306307307308308306307307305305305305305305305305304304304304303303303302303302303302303303303303302302301300302303303304301301302301301300300301301300299299299299299299297298298298299300299299299298299298298299302299302301300300299297298297297297297297297298298298300299299299299300299299299299299298297296295295294294294294294294294294295295294293293294292295295294293293293293293293292293293294294294294294295294295296295295296296296298298298297297296295294295294294294292292292291290289289289289289289289288288287286286287287286288286286287287287287284284283285285286285285287287288288286287289287288287287286287287287287287288287288287288288290287287287288288287286286286285285286286286286286286285287287287287287287287287287286287286286287287287287287287287286285284283282282282280281281281280280280280280282283283283283284283283284286286286287287287288288288288288288288288287288288288288287287288289288286284283283284283283282282282282283282283283283283284284284285285285284284284284283283282282282282283284284283283285285285285285285286284285285285285285285285284284284284284284284284284284284283284284283283283283284283283283283283284284283283283283282282283282282281281281280280281281280280280280281281280281281281281281281281281280279280280279279279279279280280279280280280280280280281281281281281281281281281281281281281280281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999299300293294294293293294293293294294296297297296296298298297297297297299300299302301299300300302303302302305304303304303304305306307305306304304307304301304302302303302303301301302302303304305305305305306306306306305304303303302301298303999299301304305304305306308309310310310310311311313312312311312311310310311310310307307306310308308307308308308308308308307308309308309309309309308309308308308309308308307307307307308305307307307307306306304305304304305305304304303304304304303303302302303303302301302303304302302302300300301303302302303302301301300300301301301300300300299300299299299298297299296296298296298298298298297299299300301300300301298298297297297298298298298298297298299299299299297299299299299298298297297296295294294294295294295294294295295294294293293292292292293293292293292292293292292293293294294294294295295293295296296295295295296296298298299297296294294294294294293293293292291290292292292291289289289291289288287286286286284284286287286288287286287285282281285285285286286287285285287287287287286287287288287287286286287288287287286286288287287286285289287287286286286285285285285286286287287286287287287287286287285285286286287286287287287287287286286286286285285284283282282281281281281280280279280280282283283283283283283284284285286286287287287287288287288288288288288287287288288287287288288288287286285284284283284283283282282283284284284283284285285284285285286286285285285284284284283282282282283283284284285285285285285285285285285284282284284285285284284284284284284284285285284284284284284284284283283283284284283283283284283284284284283283283283283282282281281281280280280281280280280280280280280280280280281281281281280280279279280279279280280280280280280280280280280280281281281281281281281281281281281281280280280281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999302301297294295295293293293293294294295296298297296296297298298297300299300299300301301300300299301302302304303300302303303304306306306304304306304300303300302301301301301301302302302303305305305305306305305305305305303303303304302301299303304302304306306306306308308310311310310311311311313312312312312311311310311310308307306307310309309307307308307307307307307307308308308308308308308308307307308308308307307307307307307307307307305305305305305305305306305303305304304304304304304303303303304303302302303303302302302302301300301302301302301302301299301300301301300300301300300299298300300298298300297298298297297298298298298300299300302300300300298297296296298297297297299298299299299299299298298300300299298298298298296296295295294295295294295294295295295294293293294293294292293294293293293292293292291293293294293294294294294293296296296295296295295297297298299297296296295294295295293293294293292291291292293292291289289288288288288287288288288287285286288288288286288287285283284285286286284287287285286286286287288286286287287288288287287288288288287286287288286287286287287286286285285286286286286285285285286286287287286287286287287284286286286287286286287286287286286286286285285284283282281281281281281281280279280281283283283283284283282283284285285286287287288287287287288288288288288288287287287287287288287287287286285284284284284284284284284284285285285285285285285286286286286286286286286286286285284283283282282282283284284285285285285286286284284284283284284285285285284284284284284284284284284285284284284284284283283284284284284284283284284284284283283283283282283283282282281281280281281281280280280280280280280280280280280281281281281280280279280280279279280280280280280280280280280280281281281281281281281280281281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301297296291293293293292291292293293293294295297297295298297297298300298298298297299299300300299300302303302299302303301302306304305306307305303304303301302302301301301301302302302301301303304305305305306306305305305305304303304304304303302301304305305307307307308308309309310310310311311312311312312312312311311311311311308307306306307309310309308306306307307307308307307307308308307307307308308308308308308307307307308308307308308305305306305306304305306306305305304303304303303303305303304303304303303303303302302302301301300301301302301302301301300301301301302301301301300300300299299300300300299298298295297296296296296298298297298303303302301302299298298298298296298298298299298299300299299298299299301301299298298299299297297296295296296296296295295295295295294294295296296297295295296296295295295295295295295294295294295295295294295295295295295296295295297299298297297295294294294294294293294294293292291292292292292291291291289290289288287288287287287287287286288288287286288286285286286286286285286287286286287288287289288287286287287288287287287288288287286288288287286287287287286286286286285286286286286285286287286285285285285286286286286286286286286286286286286287286286286285286285284283282282281281282282281280280280281282283283283283282282283284285286286287287288287287287287287288287288288287287287287288288288287287286285285284285285285285286286286286286287287287286286286286286287287287288287287287286286284284283282282283283284283283284284285285285284283283284285285285285284284284284284284284285285285284285284283284284283284284284284284283283284283284283284283283283283283282282281281281281281280280280280280281280280280280280280280281280281280279279280280280280280280280280280280280280280280281281281281281281281280280281281281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299297296295294293292291290292292293293293294295297296296296296299298298298299299300300302301301302300299300301302302302303302303305305306302305303303303305302303302303302304304302301302304304305305305305306305305305305304303302305303301301304305306306307307307308309309309310309310310311311311311311312312312312311311310311309308307308308309308309308307308308307307307308308308307308307307307308308307307306306306306306306306307306306304304304303304304305305305305304305304305304304303304303304303304304304304303303303302301302301303302301302300301300301302301302302302301301301301300300300300300299298297295296296295298296298297299297301301303301302301299299298297297298298299298299299299299298299300300300302300298298297296297297298297295295295295295295296295295295294295295295295296294294294293293294294295296295295296295296295293295296295295295295295294295295297298299297297295295295295294294294295293292291291293293292292292292291291291291290290288289287287288288286288288287285287288286284285284284283284285284285285286286287287288287286286287287288288288288288286287285286287287287286285286286286285286285285286284284283285285285285284285285285285286286286285286286286286286286286286285285284283282282282281281281281281281280281282283283283283282282282283284285286287288288288287287287286286287287287287287287287286287287287287286286285285285285286287288288287288288288288288287288287287287288287288287287288288288287287286286284283282282283281283284284285285284284284283284285285286286285285284284284284284285285285285285285285284284284284284284284283284283284284284283283284283283283283283283283282281281281281280280280281280280280280280279280280280280280281280280279280280280279280280280280280280280280280280281281281281281281281280280281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302297293293293293291291290290292292292293293294294297297295299296299298298299299298299299299299301299299299300300301302302303302302303304302302302302301301301300301301301302302303301302303304305304304304305305305304304306303303303303302304999303306307307308307307308309309309310310310310311311311311311312312311312311311309309308307306307308308309309308307306307307306306307307307306307307307308308307307307308308307305306306305306306306306306306305306303303303304304304304303304304303303303304303304303304303303302302303302302303302302301300301302301301301302302302302302301302301300300300300300300299298297296295294294293296296296297297299303301301301301299297297299298297298299299299299299300299300300301300301299298297296297298298296297296295295296296296296296295297294295296295294296296293293293295295296295294296296294294294295295294294295295295295296296295297297298298297297296295295295295295294293292291292293292292292292293293292292292291290290288289286287288285287287289289285284287284285284286283284284284286285285285285286286287286286285286287287288288288286288287286287287288287287286285287286285286285286285285286285285285285284284284285286286286286286286286286286286285286286285285284283282282282281281281281281281281281282282282282282282282282282283283285286287287287287287287285286286285286287287287287286286286286286286286286286286287287288288289289289289289289289289289289288289288289288288287288288287288287287287286286284283282282280282283284284284284284284283284285285286286285285285285285285285285285285285285285285284284284284284284284284284284284284284284284283284282283283283283283282282282281281280280280281281280280280280279280280280280280280280280280280280280280280279280280280280280281281281281281281281281281280280281280281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300298292289293292291290291292292290292293293293294295297293294299297298299298297298298300299299299301299299299300300301302303301303302302303300301301301301301301300301301301302302302302302303303303304304305305305304304305306304304303302303298999999306307307308307307309309309309309309310310311311311311311312312312311310310311311309307307308308308309309309307307306306306306306307307306308307308307307307306307307306305305305305305305305304305305304303304304305303303304304303303303304304302302301303304303304303303302303302302301301300301301303303302301300302302301301301301301301302300299299299299300300300298296295294293294295296296294293297297299299299300299300298298300301299299299300300301301300300298299301301299298298297297297298296296297296296296295295296297296295297296297296295296296295293294295296295295296296296295295296296296296296297297297297297297297297297298298298297296295295295296295294294293293293293293293293293293293292291292291291290289286288288287290288285289284288287285284285284284284284284286285286284284285286286286287286286286286287288288288287287288285287288287288287287287288286286286285286285285286285286286283284284286285286286287286286286286285286286285285285285284284283282282282282281281281281281281281282282282282281281282282283283283285286287287287287287287286285285285286285286287287287287287287287286287287287288288288289289289289289290290290290290290290289290290289289289288288288288288288287287286285286284283283280283282282284284284284284283283284286286286286284285285285285285285285285286285285285285283283284284284284284284284284283284284284283284284283283283282282282283282282281281280280280281280280280280279279280280280280280280280280280280280280280280280280280280280280281281281281281281281281280280280281280281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296290288287290289289290290291290291293293294294295294296299299298298299298298298298300300300302300300300300301302302302302303302302302302301301301300300301300300301300302302302302303303303304303304304304305305305306305305305304303302302302304306307307308308308308308308309308309310310310310311310311310310311311311311311311310310309309308308308309308308307307306306306306306307306308308307308307307306306306305305305305305305304304304304305305304304304303303302303303304304304304305304305304304304304303303302302303303302301300300300300299303303301302301301301300300301301301302302300300300300300300300301299302296294294294293295295294292299299303303300301300299300300300299299300300301301301302300302300300300300299299300300299298297296297297297298297296296297297296297297297298297297297297296296297297297297296296297296297297297297297297298298297298298298297297297297298297297296296296296295294295294293293294294294293293293293293293292292291291290290290289289287287290287287286286288287287286285285285286286286286286286286286286287285285286285286286286287288288288289288287287286287288288287287285285287285286286285285285285285286287286286287287288288287287286286286286286285286286286285284284283283282282281281281281281281282282281281281281280280281282282283283283285286287287287287287286286286285286285285286286287287287287287287287287287287288288288289289289289289290290291290290291291291291290290290289289288289288288288287288287287286286285285284283283282284284284284283284283284286287286286286285286285284285286286286286285284284284284283283283283283283284284284283284284284284283283283283283283283283283282282282282282281281281280280280279280280280280280280279280279279279280279280279280279280280280280280281281281281281281281281281281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297297292291289289289290290291291291290292294294294295294293296298297300299299299299299299301302300302300300300300300301301302301303302300301301301300300300300300300300301301302303303303303303304303303305304304304305305305305304304304303303304305306307307307308308308308308308308308309309309310311309310311311311311311311311311312311311309309309308309309308308307307305306306306305305305305304307307307306306305306305305305304305305305304304305304304304304304303302301302303304304304303305305304305305304305303303303302302302303301300300300300301301300300299299299300300300300301301301300300301300301300300301301299298297295294295294293294294294297298298302300299299298301300300300299300299300299300301299299300300300298298298297298298297295295296297297297297296294295296297295296295296296297297296294294295296295298297296296297298299298295297298298298298297297298297297297296297297297295297296296294294294294294294294294294293293293293293293293291291290290290290289289290290291288289285287287287285285284284285286285285285285286286286284284285285285285285286287287288289288288287286287286287286287288288286285286286286286286286285286286286286286288287284285285284286284285286286286285285286286285284283283282282282281282282282282282282282282282281281281281281281282283282283284285286287287287286286286286286286285285285285285286287287287288288288288288288288288289289289289290290290291290290291291290290290289290289289289289289288288288288287287287286284285283284284283282284285283283283283285286287287287286286286285286286286286286286286285284284284283284284284283283282283283283284284284284284283283284284284283283283283282282282283282281281280280280280280280280280280280280280279279280279279279280280280280280281280281281281281281281281281281281281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294289287289290289290290289291291290292294294294295294294297300298299300299299298299300302301302302300300300300300300301301302302301300300300300300299299299299300301302301302302302302303303303303304304304304304305305305305303303302303303306306306307308307306308308308308308308308308308309309309310309309310311311310310310311311312310310309310310310309308308307307307305306305304305306307306306306306306306306306305305305305305305305304305305305304304303304303303303302302303303304303303305305304304303304303303302302303303301301300301299300300300299299299299300300300300301301301300300300300300300300300300300299296296294294294293292294294294296298298297297299300300300300300299299300300300299300299301301300299299299299299299299297296296295295297296296296295296295296296295296296296296296295297295294296296296298296295298298298297297297297298298297298297297297296296296296298298298297296295294295295294294296295295293292293293293293293293292291291291289291290289290292291291285286287287289287285284284284285285284286286285285284286286284284285285285286286289287287288288288287287287286287286288288287286286286286286285285285287286285285287288288287286288286285285287284283286286285285286285285285283282282282282282282283283283283284284283282282282282281280281281282282282284285286286287286286286286286286285285284285285285285286286286287288288288288288288288288288289289289290290290290290291291290290289289290289289289289289289288288288288287287287284284284283284285285285285283285285284286286287287287287287286286286286287287286286286284284285284284284283283283283284283283283283282283284283283283283284284283283283283283283283283283282282281281281281280280280280280280280280280280279279280280280280280280281281281281281281281281280281281281281281281281281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291290289289289290289289289291292290293294294293294293295299299297296298298299299300299300300299302300300300300300301301301303301301302301301300299298299299300300301301301301302302302303303303305305304306306304305304304304303303303304302305304306305307307307307308308307307308308308309308308310310309309310311310310310310310311311311310309310310309309308308307307306305304304304303305305305306306306306306306305305305306305305305304305303305304304303303305303303304303302302303303303303303303302303302304303302302302302303302302300301301299300300298299298298298299300300300300300301300299299300301301298297300298296295295296294293292293293294295297298297298298301300300299300299299299300300300300299301301299300300299298299297297297296297295297297295295295296296298298297295296296295294295296296297295297297296297296297297297297297297297297297297297297297297297297298297297298299299298298296296295295295294295295294294293293293293293293292291291291292291291290289290290291291291289289289289288287286284285284285285286285285286285285285286285286287286288287288289286288287289287289287288288287289289287287287286287285285286286286287287286286288288287287287287287288287286285285286285285286285285284284283282282282282282283283283283283283283282282282282282281281281281281281283285285286286286286286286286286285285285285285285285285285286286287287288288288288288288288288289289290290291291290290291291290290289290290290290290289289289289288288288288287285284286284283286286285284284284286285287286287288287287286286287287287286286286286287285285285285285284284283284284284283284283283283284284284284284284284284283284284283283283283284283283283282282282282282281281280281280280280280280280279280280280280280280281281281281282281281281280281281281281281281280281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289288288288287289289289290291291291293293294293294295297300299296299298298299299299299297298299300300300300300301301301301301301302301300300300300299299299301301302302302301301302303305303303305305306306305305305304303304304304303304304304305307306307307307307308308308308308307308308309310309310310310310310310310310310310311311311310310309310309309308307307307306306306305305305306306306306306306305305305305305305304305305305305305305304303303303303302303304303303302301304304302303303303302302302302302302302302301301301302302302302300299300298299298298297299299300300300300300301300299300300299299299299296296295294295294295294293292293295296298297299299301300299298300300301301302301300300301302302302301301300300300299298297297297297297297297296296298298298296297296296295296296297296297296296296297296297298298297297297298297297297297297297297297297298297298298298299299300299298297297296295295295295295294293293293293293293293292292291292292291291289290290291291292291290289287287288287287284283284284284285284285285284285285285288285286287286287288287288288288288287287286286285288289289288287286287287285285285286286286284284285284284286288287287288284285284283285285285285285285285283284284283283282282283283283283283283283283283284283283283282281281282281281282284285285286286286285286286285286285285285286285285285285285285286286287287287287287288288288289289290290290290290290290290290289289290290290290289290289289289289289288287287285286286286284286286286284285285286287288288287287287287287287287287287287286286287287285285285285285285284283284284283284284284283284283284284284283284283283283283283284284284283283283283283283283283282283282282281281281281280280280280280280280280281280281281281282282282282281281282282282282281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287288287286288288288289289289289290291292293294293295294294297298298299299299299300300299298298297297300299300300300300300300300301301300300300300300299298299299299301301301302301300301301301302302302303304304303303302303302302302302302303304305305305305306306306307306307307308308308307309309308308308309309309309309309309310309310310310311310310309310309308308307307306306306305305302305306306306306305305305305305305306306306305305306305305304304303303303303305304304304304303302305303302302302301301301301301301303302300301302302302302300301302299299299298297299298298298299300299299299299299300300299297297297296296297297295295295297296295294292300297299298297300299300299297299300300299301299298300300300299300300300299300298298298297297298296295296296295296297296296296296295295295296297295296296296296297297297297298297296298297297297297297297296297296296296296298299298299298299300299299298297296295295295296295294294293293293293292293292292293293293292291291291291291292291291289287287287289289287287284285285286285285285285285285285287289289286286287287289288288288288289289287288288289288289289287287287287287286285285286286286287286284284284282287285284288287284284286285285285285285284284284284283282282283282282282282283283283283283283285284283283283282282282282281282283284285285285285285285285285285285285285285285285284285285285285286286286287287287287287288288289289290290290290290290290290289289290290290290290290290290289289289288288287284287287287285287287287286287286288288288288287287287287287287286287287286287287287287285285285285285285284284284283284284284284284283283284284284284283283284283283283282283284284284284284284284284283283284283283283283282282282282282281282281281281282281282282282282282282282282282282282282282282281281281281282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293288287286285287289288288288288289288289290293293294294295294297297299298300299298298298299298298298297298300299299300300300300300300301300300300300300299299298299300300300300301301302301301302301302302304304304304304303301300298301302302303302305306304305306306306307307307306306308308308309308309309309309309308308308309309309309308308309310310309311310309308308307307307306306305305305305305306306305305305305305305305305305306305306305305305304304304304304304303303303303304303302304302302302303301301301300301301303302301301300302302301302301301299299298298296297297298298297298299299300299299299300299297296296295295298298298296296297295295295295293297299299298299299299298299298299300300299300300299299298301300300301299300299299298298298298298298298297296295296295296295295295294294295296296295296296297295297297297297297297295297297297297297297297296297296296296297298299298298298299300300299299299297296295295295295295294294294293294292292292293293293293292292292292292292293292291289290289289289289289287287287287285284284285285286286286287287286286285285287288287287288286287289289288289288288288286288289287287287286286285286286287287286286285286286283285283284285286285285285286286285285285285284284283284282282282282282283283283283284283283284284284284283283282282282282282283283284285285285285285285285284285285285285285285285285285285285286285286286286287287287288288289290290290290290290290290290290289290290289290289290289290289289289288288287288288287287287287287287287287286286288288288287287287287287287287287288287287287287286286285286285284285284284284284283284284284284284284284285284284284284285283284284284284284284284284284284284284284284284284283284283283283283283283283283283283283283283283283283283283283282282282282282282282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289287287286287288288288287288288288288289291292293294295296294295298298298299300299298298299298297297297298299299299300300300300299300300300301300299300298298298299300301301302301301302301301302302302304304301303303304302301300999300300300302303305305305306307307306307307308308307309308308308308308308309308308307307308308308307308308308309309309309309309309309307308307306306306305305306305305306306305305305305305305305305305305306305305305304304303301302304305303302302302303303303302304303303303302303302302302302301304303301300302302300300300300300298298298297297297297297298299299299299298298299299297296296296296296297298299298300298297295295296296298298298298300302301302298300300300301301301300300301301302301300302302302300299299299298298299298298298298298297297297295295295295294293296295296297296297298297297296300299299298297297297298297298297297297297295297297297299299298298299299299299298298298297295295296296295294294294294294293293292293293293292293293293293293293293293291290290289289289289289288288286288287285286287288289288289289289290290288289289288288288286287288289289289288288289287287288288287287287287287286286286287287286285286286286285287286287286287288286286286286286285285285286284285284284283283283282282282283283284284284284283284284285284283283283283283283283284284285285285285285285284285285285285285285286285285285285285285285286286286287287287287288289290290290290291291290290290289290290289290290289290289289289289288288288287288288288288288288287288288287287288287288287287287286287288289288287288288288287286286285285285284284284284284284284284284284284284284285284285284284285285284284284284285285285284285285284284284284284284284284284284284284284284284284284284284283284284283284283284283283283282282282282282282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288287285286287287287287288288287287288289288290290294294295296294294295299299298299299298298296295294297299298300299299300301301301301300301301300301300300298299299300300300300302302303301302302303303304304304302302303303302300299299299298999300303304304305306306307307306307309308308307307307307307307307308307306306307307307307307307308308308308308309308308309308307306306305305305305305305305306306306306305305306305305305305305305305305305305304304303303303304304305305303303303303303303304305303302302303301302303302302302300301301300301302300300299299298297297297297297297297297299299298298298299299298296296296296295295296296298300298298298297295293295296298298300300299298298299299299299299301300299298299301299300300300300300299298299299298298298298298297297295294293292291291295294294295297295296296296297298295295295296297297298297298298298297297298298297297296297297298298299299298298298299300298299299297296295296296295295294294294294293293293292292292293293293294294293294294293292291291291290288288289288287288289289290288289287287289289288289288288286287286285286287289288288288288287288288289289287287287287287286287286287286287286286285286286285288283285286286286287287287286287286286286286286286285285285285285284284282282283283284284285285285284283283284283283283283283283283284284284284284284284285284284285285285285285286286285285285286285284285285286286286286287287288289290290290290291291291291290290290290289290290289290289289289289289289288288289288288288288288288288288288287288288288287287287286288288288287287287287287287286285285285286285285284284284284284284284284284284284285284284284285285285285284285285285285284285284285284284284284283283284284284284284284284284284284284284284284284284284284284284284284283282282282282282282282282282282282282282282283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286999279999283283284284285286286286287287287287287287288288289291292294297296295296297300298299299298295295296294294296299299298299298299300301300299300301300301300299299297298299298300300299302301302302302303304303304304303302303303303303301299299299999999303303305305306307307305305306307306306306306306307307307307307307306307306307307307307307307307307308308308308308309309307308307306306305305306305305305305306306306306305306305305305305306305305305305305305305304304301304304304304303303303305303302303302302302302302301302303301302301300300301300300301299300299299298297297297297297297297297298298298297299299298297296294294296296295296295296299298299298298296292289294298298298301299299300299299299299299299298298298299300299299300300301301300297299297297298298297297297294294294293291292292293293295295296297295295297297298297296296298295296297297297298297297297297297297296296296298297298300299299298298300300299300300299297296296296296295294293295294293293293293293294294294295293293293294293293292291291291290289288288289288290289290290291290290287289289289289287288288288288286288288289289288288288288286287288289289288288288287286288286286287286287286285285286287287287284285284286286286287286286287286286286286285285285285285285285285285284284285285285285285285284284284284283283283284284284284284284284284284284285285285285285285285285286286286286286285285285285285285285285286286286287288289290291291291291291291291291290290290289290290290290289289289289288289289289289289289288288288288288288288288289288288288288287288288288287287287287288287287287286286286286286285284284284284284284284284284284285285285285285285285285285285285285285285284285284284284284284284284283284284284284284284284284284284284284284284284284284284284284284284284283283282283282282282282282282282282282283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294286285284999280282281285285286286286286286286286287288289288290292293294294295295295296297297297298296296296296294293296298298297298298299300300299299299302300299299299297298298298298299301302301302302302303303302304304305303303303302303302300298999999999999305305305305306307306305307306306307306306304306306307307308307308307308308307307307306307306306308306308308309309308308307306307306306305305305305305305305305305305305305305304305305306305305305305306305305305305303302303303304304303303302303302302302303302302301302302301301300300301300300300300301301300299299299297297297297297297297297298297298298298298299298296297296295296296295298298295297296298298298296293290293297299299300301301299299299299300299300299300295298301300299299299300301299299300298298296295297297296295293294294293292294295293294295297296295295296297298299298296295299298296298297298297297297297296296296297298299297298299298298299300300300300300300298298296295295296295294294295293293293294294294293294295295294293294293292292292291291290291289288290290291291291290291291289289290288289289290287288287289288289288289289288288287288289288288288289289289289288288288287286287287288286287284285284287286284285285286284287285287286287286286286286286285285286286286286286286286285286286285285285285285285285284284284284284284285285285285285285285285286285286286286286286285285286286286286285285285285285285285285285286286286286287289290291291291291291291291291291291290290290290290290290290289289289289289289289289289289289289288288288289289288288287288288288288287288287288289288288288287287287286286286286286285284284284284284284284284285285285285285285285285285285285285285285285285285285284284285284284284284284284284284284284284283284284284285284284284284284284284284283284283283283283283282282282282282282282282282282283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276277281282284285284286287286286286286286287288290292293293294295295295295296296297298298297296296295295295296297299298298298298299298299299298298300298298298298299300299299300300301301303302303303302303305304305305303303303303303301298999999304305305305306305305306305305305306305307306306306306306307307307307307307307307306307307307307307308307307307307308309308307307307307306306305305305305305304305304305305305304305304304304305304304304304304304305305304304303303302303303302302303302301301302302302302302302301302301299302302300301300300301300300299298298298297297298298297297297297297297297297297297297296297296296296296296297296296298298298298297297297293298301300300300300300301303302301301301302302300299300301302301302301300299299299298300298298298299298297296293295295295294295296295294294296296296297298297298298299298299299298298298298297298297297297297296296297298298299300299298298299300300300299299299300299298296295294295294296296293293293294294294294294295295293293293292292292291292291290290288289290290290291291291291292291291290292291292290289289290290288290288289288288287287287288289290289289290288287287287287288286288287286287287286285286286286285286287287286286287286286287287286286286286287286286287287287287287287287286286286286286286285285285285285284285284285285285285285286285286286286286286286286286286286286286286285285285285285285285285285285285286286286287288289290291291291291291291292291291291290290289290290290290289289289290289289289289289289289289289289289289289289289289289289288287288288289289289288288288288288288288287287286286286285284284284284285285284285285285286286286286286286286285285285285285285285285284284285285284284284284284284283283283283283283284283284284284285284284284284284284284284284283283283283283282283282282282282283283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999278277278279282282282284285286287286286286286286287288290292293293294294293292295295297297297298297296296295296296296297296297297297299298297297297296298298298298298299299299299300300300300301302303302304305303305305304304303303302302300299999999304305305306306305305306304304303303305305302306307307307307307307307307306307306307306306306307308308307308309308308308308308307306306306306305305305305305305305304304303304303304304304304304304303303304304304304304303304303302302302302302302302303301301301301301302302302302301301301301299300300301301300300300299298298298298298297298298297297297297297297297297297297296295297297296296297297297297298299298298298298299297297299300300301302301301300300300300299300298297299299300300299299299298298299299298298297297297297296297297297293293293291293295293295294295296295295296297298298297298297296296298297297298298297298297297296297296297298298299297299299297299300300300299299299300299299297296295294294296295293293293294294294294293294294294294293292292292292290290290290289290290289288290288291291292292289290291291292292290289289288288288287288286286288288288289288289288291289288288287287287287287286288286287287284286285285286286287286284283284285286286286287286285286286287287287287287287287287287287287287287287287286286286286285286285285285285285286286286286286286286286286287287287287287287287286286286285286285286285285285286286286286286286287288289290291291291291291291291292291291291291290290290290290290290289290289289290289289289289289289289289289289289289288288289289289288289289289289288288288288287288287287287287287286286285285285285284285285285285286286286286287286286285286286285285286285285285285284285284284284284284284283283283283283282282283283284284284284285284284284284283284284284283283283283283283283283282282282283282283284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999279280280282282282283286286287286286286286287288289290292293295295294293293293294296297297295296297297297296297296296296297297296298298297297297296297297298298298298300299301300301300300301302302303302302302302303303304303303302301301299999305304305306305304305305304303303304304305306304306307307306307306306308307306306306306306306306306305308308309308308308307307308307306307306306305305304304304305304303304305303304304304305303303303302303303303303303303302303302302302302301301302302302302302302301301302302301301301301300301299300299300299300300300300298298298298298299298298297298297297297297296296296296295296297297297297297297297296295297298299300298296298299298299300302302301300300300300300299300297298297299299299299300301300299299297297296297297298297296296297298294292293294292296297295296296296296298297296295298296299296298295297297297297298298298299297298297297298296299298299299298299300301301300300300299299300298296296296295295297294294293294294294295294293294294294293294293292292291290289289289289289290290291290291291291292292290290291291292290289289290288287289287288286287287287288290288287288287288287287288287288287287287287286286287287286287287287286287286285284285286284285286287286285285286286287288288288288288288287288288288288288287287288287286286286286286285286286286286286286286286286287287287287287287287287286286286286286286286286286286286287287287286286286288288289290291291291292292291291291291291291291291290290290290290289289290290290290290289289289289289289289289289289289289289288288288289289288288289289288288288287287287287287287287287286285285285284285285285285285285286287286286286286286286286286286285285285286285285285284284284284284283283283283283282282282282282283283284283284284284284283283283283283283283282282282282283282282282282283283284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286280277280281282282282285286286286286287287287287289290292293293293294292291293293293294295295294294296297296296295294294295296296296296297297297297296297297297298299299299300300301301301301301302301301302302302302303303302303302298301301999308305304306306305305305305305304304304304305306305306307307307306306306306305306306306306306307306307308308309308307307308306306305306307306306305305304304304304304304304303304303303303303304304303303302303303303303302303303302302302301302302301302302302301302301302302302301301301301301300301299300301301299299299299300299299298298298299297298297298298298297297296296295295294295296297296296296296296295295297298299299298297298299299299300301301300300300300300300300300298298298298299300300300301301300300299302297297296297296297297296296295292295295295296296297295296297294298295296298296299298298300297298299299298298298298296297297299298298298299297299299299300300301302300300300299300300299296297296297295296296296294294296295295294293293294294294293294293292292292291290290290290289290291290291292292292293293291293293291291290290291289288288288287287287286286286289288287286289287289289288288288287287288288287288287286287287286288287288286285287287286286286285287286286285285286287287288288289289288288288289289288287288287287287287286286287286286286286286286286286287287287287287287287287287287287287287287287287287286286286286286287288287286287287288289289290291291291292292291291291291291291291291290290290290289289289289289289290290289290289289289289289289289289289289289289289289289289289289289289288288288287288288288288287287287286285285285285285285285285285286287287287287287287287286286286286285285285285285285285284284284283283282282282282282282281281282282282282283283283284284284283283283283283283283283283283283283283283283283283284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287280277280281281282283286287287287288288288288287288290292292294295292291293292294293294294296294294295296296293294294295296295294294295296297297296297297297298298299301301300301300300302301302301302302301302302303302302302301300300301302999304304306306306305304304305304303304304305305305306306306306306307307306306306306306306306306308307308309309308309306306306307306305306306307306304303303303304303303303303303302303303303303303303303303302302303303303302302302302301301302302302302301302302302302302302302302302301301301301300301301301300301300300300300300299299298298299298296297297298298297297297297296296295295295294297295296296295295295295297298299300300299300300300300301300301302301302302301301302301300299300299298297298298298301301301298299301297296296297296295297295295295296295293292296297295297297296297296299299298297297298302299298299298298298297296296297298299297297297299299299300301299299301301301300300300300300299297298297297296297297296296296295296296294293294294294295295294294294293293292291292292292293292292292291294293293294294294292291291292291291290289289287287286286287287286287288289287287287286288287288287288288289289286285288288287286286287289287288288286287287286286285286286287287286287287287288288289288289289289289289289289289288288288288287287287287287287287287287287287287288287288288288288288288288288288288288288288287287286286286287287288288287287287288288289289290290291291292292292291291291291291291291290290291290289289289289289289290290290290290290289289289290289289289289289289289289289289289289289289289289288288288288287288287287287286286285285285285285285284286286286286286286286287287286286286285285285285285285285284284284283283282282282282282281281281281281281282282283283283284284283283283283283283283283283283283283283283283283283284284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296290285279281282281281286287288287287288289289288289289289292293293295292289290291293292292292293292294291294293291293294294294295295294295296297297297298299299299300300301300300301300300301301303302300300301302303304303303303302302303303304305305305305305305304304303303302303304305306306306307306306306306307307306306306306307307307310308307307309307308307306306306307305306305305305303303303303303302302302302302303302302303302303303303303303302303302303303302303301302301301302301302302302302302301302302301301302302302302301301300301301299299299301300300300299299299298298298298297297298297297297296297296296296295294293294294294296295296296295296298298298300300299300301300300302302300300300299300301300300300300299297298297298298297298298301301301302301296297298297296297297296297296295295295293294294294297297295297295299299298299298298299299298300298298298297297297296297297297298299300298298300303302301300302302302302302301301301299299299298297297297297297296296295296296295295294294295296295294294294294294294294292294294294294294293294294295294294294295295292291292291292291289289290289288287287287287287289288289288287289289288288288288288286286287288287288286288288288289288288287287288286287286287286287288287287288288288289289289290290290290290290289289288288288288288288288288288288288288287287288288288288288289289289289289289289289289288288288287287286286287288288288288287288288288289289289290290291291291292292292291291291291291291290290289289289289289289289289289289289290290289289289289289289289289289289289289289289288288289289288288288289288288287287288288287286286285285285285285285285285286286286287286287287287287288287287286286285285285285285284284284284283282282282281282282281281281282281282283282283283283283283282283283283283283283283283283283283283283283283284284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286280281280280282285286287287288288288289289289289291293292294295292290289289291291290291291291290292294293293295295295296295296296296297297297298299299301302302302302302301300301301300301303302302302303303304303304304301304304305304305305305304304304304303303303303302304304305306306306307305307306306306307307306307307306308310308308306307306307306307306305305306306305306304303301303302302302302302302302303301301302302302303302303303302303302303303303302302302301301300303301301302303303301302300302302300302302302302301300301301300300300299300301301301299299299298298298298298297297297297296296296296296296296295295295295297296296296296296297298299299299297297299301301301302302300299298298301300300301300299300297297296297297297296298298298300302301300299298299299297298299299298295295292295297297294298299295299296296300299299298298298298297296296297301300300298295298298298298300299298299301301300299301302302302302300301301301300300299298298298298297296297295296296296295295295295296296296295296295296296296296295296296296294295295295294294294295295294294293291292292290291291289288289288288289289289289288288290289289288289289289287288287288287286288289289288289290289289289289289288287287287287287288288287288288288288289289290291291291290290290290289289289289289289289289289289288288288288288287288288288288288289289289289289289289289289289289288288288287286287288288288288288288289289289289289290290290291291291291291291290290290290290290289289289289289289289289289289289289289289289289289289289289289289288289289289289289288289289289289288289289289289288288288287287286285286285286285285285285285286286286286286287287287287287287286286286285285285284285284284284283282283282282282281281281281281281282282282282282282282283283283283282283283283283283283283283283283283283283284285285285286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287285282282281281284286286288289289290290288289290290291293294293295292287287287289289289289290289290290294295296294296296296296297297297298298299299301301300302302302301301300300300300300300300301301303303303303304304305305304304303305306305304304304304303303304304304304304306306306306307307307307305305306306306306307308308308309308308309309306306306306305305305304305304304302302302303300301301301302302302301302301301302302302303302301301302302303302302302302301301301301301300300302302302302302302302302302301302301301300301302301301301301300300300300300298298299300299298297299298297297297296296296296296297296296296296297297297297297297298298299299299299299299300300301300301301301302302301302302301301301302299299299299298299299299300304301301303303301298299300298300299300299300294298297297297297298298299298299300300300300299298299298299299297299297297299298298298298298301300299298298298299300301299302302301302302302302301301299300300299299298298297297296296297297296296295295297297296297296297297298298297298297296296295296296296296295295295294294294293293293292291291289289290290289288289289289290290290289290289289290289292288289287288290289290290290289290291291291290291289290289288288287288288288288288288288289289290290291291291291291290291290289289290290290290289290289289289289288288288288288288288288288288289289289289289289289289289289289288288286286287287288288288288288288288289289289289289289290290290290290290290290290290290290290290289289288289289289289289289289289289289289289289289289289289289289289289289288289289289289289289289289289288288288288287287286285286285285285285286286285286286286286286286287287287287287287287286286285285285284284284284283283283282282282282281281282281281281281282281282283282283283284283282282283283283283283283283283283283284284284285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285282281281282283283285286288290289290288289290292292292294294295293294287287288286286289289290290290293294295293293295294295297297299299299299299300301301301302302301301301301301301301301302301302303303303304305304303305306305306306305306305304305304303304303303303304304305305305305306306306306306306305306306305306307308309307307306307309309306306305305305305304304303302302302302301301301301301301301302301301301301301301301301303303303302301301302301301301301300301299300301302301303302301301302302301301301301301301301301299302300300301300301301300300300299298300299298297298298298298298297296297297296296296296295296297296297296298297296296296298300299298299299297299300300300299298301299302302301301302302301301300299298298297297300298300301304303304301302298302297299299298296300299297296296295298295298300300299299299300298298299301299301298298299299299299300298298298298298299298298299299300301301301302302303302302302302303300300301300299297297298299298299298296296296297297297297299297296297298299299299298298297296296295296297297297297296295295295294293293292290293292291289292289288288288289290290290291290290287287288289289288290288289289288291290291291289292291292290289289289289290289288288288288288287287289289290290290290291291291291291290290289290290290289289289289289288289288288287287287287287288287287288288289289289289289289289289289288288287286287286287287288288288288288289289289289289289289289290290290290290290290289290289290290289289289289289289289289289289289289289289289289289289289289289288288289289289289289289289289289289289289289289288288288288287287286286286285285285286286285286286285285286286286287287288287288287287286285285285285285284284283283283282282282282281282281281282281281281281282282282282283283282282283283282282283283283283283283284284284284284285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291286283280278281282282283285288289289289290291291292292293293292293293294289282286283284283286289291292293293294294295296297296297298298298299299301300301301301301301301301300300300301301301301302302303302303304304303304302304305305305305305304304304304303303304303304304303304305305305305306305306306306306306305306306304308308307307306306306306305305305306306305305303302302302301301301300301300300300301301302301301301301301301302302303302303304303301300300300300300301301301301301300300301302300300301301301301301302301300301301302300300300300302302301301300300299298298299298297299297297298297298298297298297295297295296293295296297297296297298298299300301300301300301299300300301298298302299300302300299301301301302302301301300297297298299302302303303304305301300300298297299299296296299297301299298295299298297299299299299299299299300298299301299298298300299299298300301298298300298298298299301299300300301300301301303302302301302303300300301300299299297297297296297298298297296298298296297298297297297298299299298299298297296296296295297297297296296297295294294292293293292292291291291292290289290289288290290290290290290290288289289291289289288288289288290291289292291291292292288289288289290289290289288288288288287287288289289290290290291291291291290290290290290289289289289289289288289289288288288288288288288288288288289289289289289290290290289289289288288287287286287287287288288288289288289289289289289289289289289289289290289290289290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289290289289288288288287287287286286285285286286286285285285285285285286286287287288287287286286285285284284284284284283283282282282282282281281281282282281281281281282282282282282282282283282282282283283283283283283284284284284284284285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295286999276279280282281282285288290289290291291293293293293293293292293293289282284283286286286287291292294294294295294295295297297298299299300301301300302301300300300300300300301301302302302302302303302303303304305305304305304305305305304304304304303303304304303303304304303304304305304304305305305305306306306306306306306308307308307307306305305306306305306305303303302302302301301300300300300300300301301300300299300300301301301301302303303304304304303302301301300300300299301301301301300300301301300300301301301301302300300301300300299300303300300301301300300301300300300299299299297299298297296297297297299298299295296296294296296298297297297298299300300299300301299299299298299300298301300298299300298301301301301303301301300300299297298300299303301303301301304302299298301300300297298298297301302300301298296297298297298299297298299299298301299299299298297298297297300298298298300298298297299298300300298299302301302302303301302301302301299300300299299300300298297298297297298296298296298298298298298297298299298298298298297297297297297297298297297297295296295294292293292292292292293291291292291291290290291290290289290289290289290290291290290288289291293290290292292293290290290289291290290289290290290289289288288289289289290290290290291291291291291290290289290290289289289289289289289289289288288288288288288289288289289289289289290289290290289289289289289288288287286286287287288288288288288288289289289289289289289289289290290290289289289289290289290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289290289290289289288287287287286286286286285285285285285285284284284284285286287287287286287286286286284284284284284284283283283282282282282282281281282281282282282282282282282282282282282282283283283283283283283283284284284284284284285285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296999287999278280281281282285286288289288289291292293294294294292291291292292290284280285284286287288290292293291291293295296296298297298299300301301301301302301300300300300301301301301302302302302301302303304302305306306304304304305304305304304304303303304304304303303305305305305304304305305305305306306306306306306306305307307307307306306307305305305304305305304301302301302303301300300299300300300300301300299300299300300301301301302302304304304304304304304303303301300299298298298300301300300300300300301301302301301301300300300299299300301300300302300302302300300300300300299299299297297296297297299298298298298298297297295296295296296296297297298298300300300300300298300298300299299298299299299301300301302302302302302302301301300300300302301301303301303300301302302300300299300300301301297299300302300298297297299298299297297298297300298297300301298300298299297296296296299296296299298298297298299299300298300297298302302301302302303303301300299297297299300299298297299299298297298298298299299296298298299297296299297298299298297297297298298298298297298297297296295294294293292293291292292291292290293292291291290291290289290290290291290290290292290291292291292292291292291290289288290290289291290289290290290289289289289289290290290290290290291290290291291290289289290290290289290289289289290289289289288289289289289289289289289289289289290290290290289289289288288288288287287287288288288288288288288289289289289289289289289289288289289289289289290290290289290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289290289290289289288287287287287287285285285285285285285284284283284284285285286287287287287287286285285285285284285284284283283283283283282282282282282282282282282282282282282282283283283283283283283283283284284284284284284284284284284285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291287282279278279282283284285287287288288288289290293295296294291289290289291291288283282285286286288289291292294295294295298296297297298299299300300300301301300300298298298299301301301301302302301301301302303302301304305305304304305304304305304305304303304304303303303303304304304304304304304305305305306305306306305306306307306308307307306306305305305306304304303303302303302302302301300301300300300300300300300300300300300300301302302303304305306305305305305304304303304303302301299300301300300300300300301301302300300302302301300300301301301301300302302301301301301300300300300299298297298297297297297297298298298297298299298295295295295294295297298297298299301300300299299299296295295298298298298299298299300300300300301299299300299300300301302299301301301301301301300299299299298299301301299299299300301301299299297294296297296296297296298298297297296296299299295297296296295295297297296299299298297298299298298300301298300300300301302303302301300300299298299298298298298298300298299299298299299299298299297297298298297298297297299299299299296296297299295298298296296295293292292292293292292289291288289292292292293293292291289289290290290290290289293291293293293294293293292290292292292292289289292289291291291290290290291291290290290291291291291291291292291290290290290289290290290291290290290289289289290289290290289289289289289289289289290290290290290290289289288288288288287287288287287287287288288288288288288289289288288288288288288289288288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289290289289289289289288287287287287287286285285285285284284284284284284285286287287288287288288286286285286285285285285285284284283283283283283283282283283282282282283282282282283283283283282282283283283283283283284284284284284284284283284285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297292999999284283278277279282283284285286287287288288292290292294298301293293999285288289290289285284285286287289290292292293295295294295296297298298298299299300299300299299300299298298300301301301300300301300301301301302302302302303303304304305305303303304305304304304304303303304303304305305304305303303305305306306306307305304306306306308307307307306306305305305305304302304302302302302302301301302301301302301300301301301300300301301301302303304305305306306306304304305306305304305305304303302301302303303301300300301302302301301301301300301301301301301301301302301301300300300300300301299299297297300299300299297298298298297298299300299298297297297297298297298297299300300300299299296299297295296296298299299298297299299299300300301301301299298302303303299298299299299300300300298299298298297298299302297298299299301300300299297295295295296298296295296299298296298295295297297297296296296295299295299297298297298296297297297301299297299300301300301301300300299300299299299299298299299300299297299297299296297297298298298299297298297297300299297298299298300299298297294297298296295295294292293292291291292289291293291292292292291292290290291291290290291290289293292293293291293295293292292293291290292291289290290290290290291291290291291290291291291292291292291291291291290290290290290289291290290290290290290290290290290290290289289289289288289288289289289289289289289289289289288288288287287287287287287287287288288289288288288289289289289288288288288288288289289288289289289289290290290289290289289289289289289289289289289289289289289289289289289289289289289289289289290290289290290289289288289289289288287288287287288287286286285285285285284284284285286288288288287288287287285285285285285285285285284284284284283283283283283283283283283282282283282283283283283283283283283283284283284284284284284284284284284284284285286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283281280280279280280281283285285286287288287288288290291294295298301999999999999999999287288287285285286286288290292292294293294295294296298298298299299300300300299300300300300299299299299300300300300300301302302302301302302303304304303304304305304304305305305304304305304305304305305305304303303303303305305304305306307307305306306306306305305307306306307305306305304304303303302303303302302301303302303303303301301301303302302301303304304305306306308306306305306304306306306305306305303302302303303303302300299299300301302300300300300301301301301301301302301302302301301300300299300300300299300298301299302300300300302300298300299299299298298298298298299299299299302301301300299299297298296297295296297296296297298297298299300301300300300301300304303303303302303300301301299298298300299297299300299300297298299298297299298297295297297298298297298298297298298297297298298298297299296296296295297298298297297297298299298296299298297298301301301300300300300301301300300300299300299301299299302299297297298297298297297298299297298298297300300301298298296296298298299298296297297296296294294291291292291290292290293292292291292291290291291292292292291290290292293290291291292294292294295294293294295294293293293292293292292292292291291290290290291291291291291291291290291290290291290289289289288289289289290290289289290290290290290289289288288288288288288288289289289289289289289289288287287288288287287287287287287288288288289288288289289289288288288288288287288288289288289289289289289290290290289290290290290290289289289289289289289290290289289290289290289290289289289289289290290290290289289289288289289288288288288287287287286285286285285284284284285285286287287287287287287286285285285285284285285285285285285284284283283283283283283283284283283283283283283283283283283283283283283283283284283284283283283283284284284285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287275277279279279280281282284285287287287288288288289291292294298999999999999999999999999284287289286284287288291293294293295296297295297297298299299299299300300300300300300301300299300300299299299299299300301301301301302303303304304303303303304305304305305306305304304304304305304304305304304303304303304305306306306306305307306306305306306306306305306306307306306305303303302302302302303302304302303301303304302302302303301302303303304303304305306306307307305307306305304306306306305305304303303302302303303301298299299300301300301301301301302302302301301301301302301301300301300300300300299298298297297301298299299300300299299299299299300298298298297297298301299300300299301298299298296296296296296295294295295295296295296299300301298299301298298298301300298301299299298297298297298299295299300299296295297297299298298299299298297297297300296296295297298298297296296296297297296296295296298297297298298297297297297299297299300300299299301301300301300299302300300300300300300299299301300298301299298298297298300298299299296296297300299299299299298298298298298298298298298297295294294294293294294293293293293293293293294291293291292292292292291291290292290293288291291291292292293293291293292292291292292292292291292292292291291291292291291291291291291291291292291290290291291290289289288289288289289289290290289290290289290290290290289288288288288288288288289289289289289288289289288288287288288288288287287287288289289289289289289289289289289289289288289288288289289288288289290290290290290290290290290290290290290289289289289289289289290290289290289290289289289289289289290290290290290289288288289288288288288288288288287287286286285286286285285285285286286286286287287287286286285285285284285285285285285285284285285284284283283283284283284283283283283283283283283283283283283283283283283283283283283284284284284285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282275278280280280280283284286287288289288287288289290290294295999999999999999999999999999281286288287286287290292294295295294295296295296297298299299300300300301300299300301301300300300300300299299299300300300300299301302302303303303303302303305305305304304305302302304304304304303304305304304303304304304305304305305306304306306307306304306306305303304305306304303304304304303303303303303302303303302301302303303302303303303303305305304304304305305308307306307307306305304304305305304304303304304304302303303302299299298300300300301301301301301303301301301301301301300300300301300299300300300299299299299299299299300300300301300300300300299299298297298299299300300299299301300298298298297296296295296295296294298295295295296297297296298299300300300299299300300296297300299299301299300298299298299297295296299299299299299299298299300299300300300299298297298298298295295296297297296296295295298297295296297296298298298298297297300300300301301302300300301299299300299299298298299298299301299299298297298300299299298300300299299299297298299298298298297297298297298298297297297297296295292295292292293292294294293294293292292294291292291291292291290290291291291293294294293291291293294294292293292293293291292293293292290292290291291291291291291291291291291292290290291291290290291290289288290289289288289290290291290290291290291289290290290289288288288288288288289289288289289289289289289288288288288288288287288289288289289290289290289289290289289289289289289288288288289289289289290290290290290290290290290290290289289289289289289289289289289289289290290290290289290289290290290290290290290289288288288287288288288288288288288287287286286286286286286285286286286287286286287287286286286285285284284284285285285285285285285285285285284284284284283283283284284283283283283283283284283283283283284283283284284285285285285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291280278278278279280280282282284286286288288289288287287288289291296296999999999999999999999999283284287286286288290292294295294294294295296296298298298299299300300300301301300300300300301302301300300298297299300300299299299301301302303302302304304304305303304304304303304304303303305304304303304304305303303304305303303303304304305306305305306305306306306306304305304304303303303303302303302303303303302303303303302301303302304304304304305304304304304304305306306306307306306305303305305304305305304303303305304303303302299298299299300299299300301300300302301301301301300301300300300300299299299299298298298298298299300299299299300300301299299299299300299298300299300300300300300301299298298298297296295295295296295295295294295295296297296295296296298299299300298299298298299300299298299298298298298298299296296298299299300300299299300301299299300301300299298299298298297297296297296297298297296298298296295297296297296297298298298298298300297299299298298298302300301302298298297298298299297298298297298297300299299298299300301300298299296298298298298297299298299298298297296297297297297296297296291291291295293294293293294293292294296295294294293293290289292292290293290293294294294292292293293292292290292291292293293292292291292291292292292292292292292291292291291292290291290291290290290290289290289289290290290290291291290291291290289289288289288288288287288289288289288288288289288288288288288288288288287288288289289290289289289290290290290290289289289290289289289289289288289290290290290290290290290290290290290290290290290289289289289290289289289289289289289290290290290290290290290289289289288288288287287287287288288288288288287286286286286285286286286286287286286286287286286286285284285284284284285285285285285285285285285286285285284284284284284284284284284283284284284283284284284284284284285285285285286286286287286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278279279280280281282283284287287285286286286287288289291295300999999999999999999999999999280284286286288290292293294294295295294296295297299298299300299299300300300300301301299297302303302300999999298299301301300301301301301303303303303303303303304303301301304304303304304305305305304304304305304304304304305303303303304305305305305305306306306307306304305304304302303303303302302303302302303304303303303303303302302303302303304303302304304304304305305305305305305306306306306304305305305303304303303305304303302302300300298298299300300300301301300301300300300301301301301300300299300300298298298297296296298300299298301302299302302298300299299301300302301301300300300300300298298299299298298298297295296296295295296298298298297296296296297297298299300300300301298298298298298298300297296298298298298298297297297299299301301299301301302300300300299298298297297297299298298298297299298298296299299297297296299298295296296295296296297298296298296299300300300299300301300298297300298298297299299298297298298299299299299299300300300300301298300300298297299298298299297297297295296295294296297297294292294293294294295294295294295295296296294294292293294292291293292294291291292295295294292292293293292291292292292292293293292292293294292292292292292291292292291291291290290290289289290290289290290290289289289290290291291290290289291290290289289289288288288288288288288288288288288288288288288288288288288288288288288289289289290290291290290290290290290290289289289289289289290289290290290290290290290290290290290290290289290290290289289289289289289290289289289289289289290290290291291290290289289288288288287287287287287287288288288288287287287287286286286286286286286286285286287285286286285284284284284284285284285285285285285285285286286286285285285285284284284284284284284285284284284284285285285286286286286286286286286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278279280281282282284283285285286287285285286287287288291294999999999999999999999999999999999284287290291291294293294295295295294295297297298299300299298298300300299299300300299298301303301300299300300298299300300301300301301302302304303302303303302302301301304305303303304304305305305305305304304304304304304304302302303303304305303304305305304305305304303302302302302303303302303301301302302303303303302303303303303303303300302303304304304304304305305305306306306306307306306305303303305303302304304304304304302301300300299299300299301301301300300301300300301301301301300300300299299300300299299298296297298298301296298302301300300301299300301301300301300301301301300299297296298300299299299299299297297296296295294295299297297296296296296296299300297297300299298298297297298298298298297298297297298299299300299300298299298299302304303302301300299299299298296298298298299299296299299298296299299298298296296297296296295297298298297298297299300300299300300300297297299300299300298298298299300300299299299300299301300301301298300300299300299298296298298298297296297296297296295296296297295296295295291294292292292293295297298297297296294295293294292294292292290290290291293292294293290291291292293291290292292291292290293293294293295292292292292292292291292292290290291290289290290290289291290290291290290290290290290291291290291290289290290289289289289288288288288288288288288288288288288288288288288288288288289289289290290290290290291290290290290290289289289289289290290290290290290290290290290290290290290290290290290290290289289289290290290290289290289290290290290290290291290290290290289289288288288287287287287287287288287287287288288287288287287287287286287286286285286286286287286285285285285285285284285285285286286286285286286286287286286285285285285285284284284285284285285285285285285285286286286286286286285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286298291286281278278278278280281283284285283283285284284284285286287288291292999999999999999999999999999999999999284290291291293294294296295295294295293297298298299298299298299300299298299301301301301302301302300300301301300300300301301301301301301302303303303301302301301300303302303303303304303304305305304304304304304304304304304303303302303303304305304304304303303303303303302300301302302303302303302303304303303302303303303303302303303303302303303303303303305305304304304307306306306307307307306303306305306303304304304303303302302301300299299300301301302301300301301300301302301300300299300300300298299298299299300298298298298299299300298297299299299299300301301300301301301302300300298300298299299300299299299298297296296296294294298299297297296296296295298298296296299297299297299298299298298298299299298300297299300301301300301299299299301300303303301299299299299298299299297297299299300299298296297298298298299298299296298296296295298296298298296299299299299301299299301298299297298299301299299297299298299299300300300301301300302297299298299297297295296295294295296296297297296297296297296295297297298296295294294293294293297294297297298298297294293293293293293291291293291292293291293294293291292295292292292290291293290291293293293294293291293292292292292292291291291292292289289290291290291292292291291290290290291290291291292291291291291291290289288290289289288288288288288288288288288288288288288289288288288289288289290290290290291290290290290290290290290290290289290290290290290290290290290290290291291290290290290290290290290290289290289290290290290289289290290290290290290290291291291291290290290289289289287288288287287287288287287287288288288288288288287286287286287285286285286286286286285285284284285284284285285285286286286285285285286286287286286286286285285285284285285285285284285285286286286286286287286286286286286286286285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285294298288283280280278278279281282284284283282283284284283285285284287289295999999999999999999999999999999999999282289291291292293293294295294293294295295296297298299299296299299300298299300300300301300301301300300301300300299299300301300300300300302301302302301301301301301300303303305303304303304305305305304304304304304304304304304303303303303303303303303303303303302302302302301301301301300300301304303304302303302302302303302302302302302302302303302303304303303304304303304304304305305306306306303303305304304302302302302302303302302304300299298300300300300302301301301300301300300302300299300300299299298298298299299299298299299301299299298301301301301300301300301301302301300299300300298299299298298298298298297297296297296295294294295297297298295295294299298298298299298299297296298300298298298299297298298298300299300301301304301304300303301301300301302300301301299298299298296297297297299299299299300301298298299300299299299298296297298297298298297299298300299300302299300299297296297299298299300299299300301301301300301301301301300299297297296297294297296295295295294295297294295297296297297296295298296295296297298295297296297298297296295297298297295294292293292292290294292293293291291290294294295294294293292292292292292292292292293294293292293293292292292292291292291291290290290290290290290290291291292291291291290291291291291292292291291291290290289289290289289289289289289288288288288288288288288288288288288288289290290289290291291290291291291290290290290290290290290290291290290290291291291290290291291291291290290290290291290290290290290291291291290291290290291291291290291291292291291291291289288288288288288287287287286287287288288287287287287287287286286286285285286285286285286286285285285284285284284284285285285285286286285286285285286286286286287286286286285285285285285285285285286286286286286286286286286286286286286286285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284291290288286284281278279281283284284284282281282283283283283284284287292295999999999999999999999999999999999999286290291291292293294294295296295296297297296298299299298299999299300999999299299299300300301301301299300299299299300299300300300300300301302302302302302302301301301301301304304304304304304305304305304304304304304303303304304304304304303302302302302302302302302302302301301302301301302303304303303304303303303302303303303303302302302302302302302303304304303304304304304304305306306306305304303303303303303304304304303302304304304301300299300300301302301300300301301301301301301300299299299299297297298299299299299298298299299296298298298301300301301301301301301301300300301301301302301300298298298298297296296297295294294295295297298296296297298299299299297297297298296297296297296298297299300298298299300301301301302300300301302302301302301301302301299300299301300299298297297296297299299300299299299297299300299299300300298298297299298295296299299298300298299299300300299300298296299299300299298301302302302298300298298301300300298298297299297296295292292292292291291294293297294296296297298292296296297295297295296296296299297297297298298298296294294293293294296293292294293293295294294295294294294294292292293293293292293290291290292293293293293292291292291292292291291291291291292292292290290290291291292291292291292292292292292292291291292291291290290289291291289289289290289288288289288289289289289289289289290290291291290290292292291291292291291291291291291291291291291291291291290291291291291291291291291291291291291290291290290290290290290290290291290290290290290290290291291291291291291290288288287287287287287287287287287287287287287287286286286285286286286285285285285285284285285286285285285285284284284284285285285285285285286285285285286286287287287287286286286286286286286286286286286286287287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287286285281279278279281284284283282282281280283283284283287286291295999999999999999999999999999999999999285288291292292294295293294295294298296296298298298299299298296299299298300299299299300300299299301300299297301300300300299300298300300301301302303302303303303301303301302303302303303303304304304304304304304304304303303303302302303303304303303302302302303301302302301301301300301301301302302302303302303302303303303303303302303303303302303302302302302304304303303304304304304304304305304304304302304303304304304304304303304302301301301301301300300299299299298299301300301301299300300299299299299298298300299299300297299298299299299300300300303301300301301301301302302302302301301301301301301298298297298297296297295295296295294296296296297297295295295298295295299299298299297296299299297300297298299300301301302301300303301300299300302303303302302301300300300301300299299299299298299298299299300300299298300298299300300299300298299299295297297296299300300297299300300298298298299299296298299300300300300301301301300299299300301301299298298297296296295294294292292292292288292296297296296293296296295297298298297296297297297299298297298296298297296298295295294294294294293294294293293295293295297296296295294294292293292292292292291291292293293292292293292292293292294293292291290291292293292292291291291291291291292292292292292292293292292292292292292292291291290291291290290290290290289289289289290290290290290290291291291291291290290293292292292292292291291291291291291291291291291291291290291292291290291291291290291290291291290290289290290290290290290290290290290290290290290290291291291291291291289287287287287286286286287286286287286287287287286286286286286286285286285285284286284284284285285286285286285285285285285285286286286286286286286286286287286287287287287287286287287287286286286286286286286287287287287286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283281280279279276276278280282284286283281282282282284285288287289290293299999999999999999999999999999999999999288290291294293294293294295295295297297297298299299298298299298300300300299300300299299300300299298299298298299300300299299299300302301301300301302302302304300304304303302304302302302302304304304304304304304304304303303303303303303303303303303302302302302302302303303302301301302301302302302301303303303302303304303303302301303303303302302303303302302302303303304303303304304303304305303303304303305303305304304305305304304304302302301303301299300301300300301301301301301301301301301302299299298298299300300300300298300300300299299299299299301302302301301302301302301302301303303302302301301300299298298298296296296294298294297295295296297295296296298298296300299298299297298298298298299298298299300301300300303300301300300302302300301300302301300301302301302301300299299300299298299298298299300300299297298299299299299300300299300300299299299298299297298298298298299299297298298300299299298299301300302301299300300300301300301301299299298297297296295296294293294294293292293295296297296294295296294296295295296295297294295297297297298297297297295296298298297296296294295292293294296294296297297298297295296295292293295295295295294294293294294292293293293293294293293293293293292291292292292292292292292292293292293292293293292293292292292292292292292292292292291292291290290289290289289289289289289290290290291291291291291291291292292292291292292292291291291291291291291291291290291291291290290291291291290291291291291291290290290290290290290290290290290290290290290290290290290290290291291291291290288287287286286286286286286286286286286287286286285287286286286285285284284285285285285285285285285286285286285285285285285286286287287287286286286286287287286287287287287287287287287287287287287286286287286287287287287287287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280281279277274273273275277279281285284283282281282284287288288289290293294999999999999999999999999999999999999284288287288290294295292293295294295296296296298297296297298298297299300300299300300298299298298300298300301297298299299300299299299300302301301301302299302301302304303303303303303302302303304303304304305304304304304304304302303304304304303303305303303303303302302303302302302301302303302303303303302303303303303303303303302302303303303303303303302303302303303301302304303304303303304305306305305306303303302304304304303303302304304302302300302300300300303302301301301302301301300301300300301300300299298298299299299299300299299298300300300301300303302302301302302302302301302302303303301302301300300299297299299296295296295295296296297296300299299299299300300300300299299299299299297298298298299299300301302303302301301301302302301301302303303303304302303301302300300300299299299298297298298299300299299298296298300300299300299299300300300300298298296299296295299299298298296298298298298300300301300301301301301302301302301302302300299298297299297298295296295294295296294293293295295295296296293295295296298296297297297297297298298297297296298297298297298297297297294292294295294294297295295298298299297296296295295294296296295293293292292293293293292292293292293292292292292292293292292292291292293291293292292293294293292293293293292293293292292292292292292292292291291291292290290290290289290290290291291291291291291290291291292292292292291292291291291291292291291291291291292290290291291291291291291291290290291290290290290290290290290290290290291290290290290289289290290290290290290291291291291289287287287286286286286286286286287286287287286287285287287286286285285286286286286286287286286286286285286286285285285286286286286287287287287287287287287287287287287287288288288287287287287287287287287287287287287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287278279279278275273272272275278281285286283280280283282283288291289289290292999999999999999999999999999999999999999286287286289290294295293296293295295295295295296297296294297297297298299300299300299300299298296298300302299298299299299299300300300301301301300300301299302303303302304305303304303303303303303303303305304304304304304304303302302303304304304303303304303303302302302300302302302303304301302302302303302303303303303302302302301301303303303303303302302302303303303302303303303303304304304305303306305305304305303303304303303304303302303303302302302300300301300302301300301301301301300300300300301301301301301301299298298299300300299300302302303301300300301301301302302303300302303301303303302302303300300300301301299296296296297296297297300300297300301300300301301300300298299298299297298299299300301302303302303302301301302300302302302303303305303302301302303302302300300301300300299299296298298299299299299299298298298298299299299300300300300301298296297299299300300299299300299300299298298300299300300300301300300301301301302302301299299298298299298295297296296294294295297295296296295296296296291293296297296297295297294297297299298297295295298297297297297297296296297291294293295295296295296296295297297296292295296293295295295291291291291292292291292292292292291291291292292293292293292292291292293292293292291293294294293293294293293292292293292292292292292292292292292292293292291291291290291291292292292292292291291292292292292292292292292292291291291292292291291291291292292291291291291291291291291291291290291290291291291291290290290290290290291290290290290290290290290290290290290290290290290289287287287286286286286285286286287287287287286288287287287286287287287288288286286287287285286286286286286286286285285286286286286286287287287288287287287287287288288288288288288288288288287288288287287287287287287287286286287287286286286285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272273272274275274273272271274274277279282286286282280280281282282287292292291293296999999999999999999999999999999999999999288289288289294293294293294293295296296294295295297296298297298298299297298299297300299297297300299299299299299299300299299300301300299299299298300299300302302302301301300303303303304304303303303303304303303304304304304303303303301303303303303303303304304303303302301302301301301303302302302302301302302303303303302302301301301301301302303303302301302302302302302302302302304303304303303302305304304302303305305304304302305301303302302302303300300301300300301301300300302301300301300300301300300300301299299299300300301301300301299300301301301300301301302302300301301302302301301301303303303303301302303302301300299298297296297298297300298298301300298299300301299299298298297299299300301300301302301302302302302302302302303302301303304303302303303304303302301301300300298300299299298298298299298298299298298297296298298299297297300301300300300298299300298299299299298300298297298298298299299300299300301301301301301301301301301299298298297298298295296296295295294293292291294295296295295296296293296296297297298295296297296295298295297298297297296296297296297297295295293294293294295294297295295294295294296296295295294293293290294292293293292293289292292292291292292292292292292292292292292292293292292292293293293294294295294294293292293292293293292293292292292292292292292293292292291291292291291292292292292292292292292292292292292292292293292292291291291291291291291291292292292292291291291291291291290290290291291291291291291290290290291291291291291291291290290290290290290290291290291291290290288287287287287287286286286286287287287287287287287287287288288288288288288288289288289288287286287286286286286286285285286286286287287287287287287287287287288287288288288288288288288287288287288288287287287287287287287287287287286286286286286285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288277265266268270270270270272274277279282284286286282279277279281278286292292292296999999999999999999999999999999999999999999288288289290294294294293294294296297297296294296295296299298299299299297297297296297298297297296298299298300299299299300300301302299299299297300301299300301302302301300300302302303303304303304303303304302303304304304303303303303302303303303304302304305304304303302301301301302300301301302302301302302301302302302302301300300299301301301302302302302302302302301301301302303303302301302302303303302303303304301304304302301304302303302301302300300300300301299300301301300299300300300300300300300300299299299299300300301301301300300301300300300301301302303303302301301300300300301303302302301301301301303303302302301300300299297300300296299299297297299299299299298299300298299300300300299300301303301302300301301302301300301302301301301302301303303301303300301300301300300301302298299298298297298298299300298298298298300299299298296298299297299299299298300298299299300299300299299297299299299299298300300301300301301300301301301301300299297298297297297297296294294294294294293293294294295297296297296296297297297297295297297297297296295298298298298296294294294297292294294292294294295296297297295295294294297296294293293292293293293292291294293291294293290290291291291291292292292292292292293292292293292292293293292293293294294295293294293293293292293293293293293292292293293293293292293292292292292292293293292292292292292292292292292292292292292292292291291291291292291291291292292293291292291291291291291291291291291291291291290290290290291291291291291291291291290290290290290290290291290291291291290288287287287287286287287286285287287287287287288288288288288289289289289289288288289289289288287288288287286286286286286286286286286287287287287288288287288288288288289289289289289289288288288288288288288287287287287287287287286286286285285285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275274266266266268269269269270269271274278282283285286286279278277277279280284291293292296999999999999999999999999999999999999999999288288291292294294294293294295296295295296296296297296297298298299299297299298297297298297297296296298299298300300299300299298299299299299300300298302301302301301302300301300302302303303303304304304304303304303304303304304304303302303303304303304303302305303303303302302301302301301301302302301301301301302301302302301300299300301301301301302302302301302302302302300303302302303304303303304302303302304302304303303301302301304304303303302301303300299299300299299299300299299299300300300299300300299299299300300300301301300301300301301302301302302302302303301301301300301300302301302301301300301301302302302299301301300299297300300300299299298299298298298297297300300299299299301302300301301301301300302301301301301302300302302303303302304304304303303302301300300299299302299301299299298300299300299299300300299299299300301299298299297299298300296301300300299298299300300299300299299299299299301300300300300300300300300300301300298297297297295296296296295295293294293294295294294293295296295297296294293295296297295295297295296296296295295295294294294292295294293292292292292292294296296298296295294296292295293293291292292290292291292292292292294293290291291291292291291292292292293292292292293294293292294293293292293293294294294294293293293292293293293294293293292293293293293293293292291293293293293294292292292292292292292292293293292292292292293291291291292291292292291292292292291291291291291290290291290291291291291290290291291291291291291291291291291291291290290290291291291290291290290290290288287287287287286287286287286286287287288289289289289290289290291289290289289289288289289288290289289289288288287287287287287286287287288287288288288288289289288289289289289289289289289288288289288288288287287287287287287286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291285284282275270271272272272270270270270272276280283284286286284277277276274286284284292293295999999999999999999999999999999999999999999288287289292292293294294293293293294293295294295296297296297296297299297298299298298297298298298296296296297299300300301301300300298298299298300301299301300300303298300300300301302301302303303303304303305305304303303304303304304302302303304304304304303304304304304303302304302302301302302301301300300300302302302301302302300300301301300301301301301301302302302301303303303302303304304303303303303302303302304304302302303304304304304304302301302302301300298299299299299298300300299300299298298298299299298299300300302301300300301301301301302302302303303302302302301301300300301303302302300301301300302302301301301301301300301300300300300299299299300299297298298300301299299301301299301302301302300300300300299300300302301300300303303302303301301305303301303303301301299299297300299297301299299300300301299299299299299299300300299298299298299299299300299300299299300299298300300300301300300299300299300301300301301300301301299300300296296296295297296297296295295294294295295296294294294295295296296297296295295297298298294296296294297296297294295294295295293292293293293292293293293295295296295295296298298297296292291290291293290292291289290293292292293289289290291291292291292291292292293292292294294294294294293292294293293294294294294293293292292294294293293294293293293293293293293293293292292293293293292292291291292292292293292293293292293293292294293292292292292292292292291292292292290291290290291290290290290290290290290290290291290291291292292291291291291291290291291291291291290290291291290290289288288287287287287287287287288288288289290291291291291291291291290290289289289290289290290291290290290289289288288288287287286287287288288288288288289289289289289289289289289289289289288288289288288288287287287287287287287286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283285279276274273274274273272273272272273275278281285286288287281276276275275278284288292294301293999999999999999999999999999999999999999287287289292294294294295296295295295294295295295296297297296296295299299299298298297297297299299301299296299299299301302302302301298298298299299298301301301300300299302300300301301302301300302303303303305306304304303304301303302303303303304304305305303304303304304306305304304301301302302301301300299300300302302301301303301301301301301301301302302302302302302302302302303303302303302302302304302303302302303303302301302301302304304304303303302302302301300298301299299299299299299299299298298298299299299300301301301301300301301302302302302302303303304304304302302301300300302299302301300300299300299298300301301301301300301300301301300299298298299299297297298300300301301300302302302302301299298298300300301300301301301301302301299300304304301302303303304302303301300298299301300298299296297298300300300300300298299300300300298298299299299301300302303301301300301300300300301300300299300300300299300301300301301298302301302299300296296296296296295295295294294294293293294297295295294294296294295296296295297297296296297297296294294295295294295295293294294293292293292291292292295296297297296294295295295295294291291292291291291289290290290292291291292291290290290290290290291291292292293293293294294294294293293293293294294294294293294294294293292292293293293293293293293293293293293293293292292292292292291293292291291292292292293292292292292293293294293291292292292292292292291291292291291291290291291291290290291290290291290291291291292292292291292292291291291292291291292291291291291291291290290290289288288287287287287288288289289289290291290292292290292290292291291291291290289290291291290291290291291291290290289288287287287287287288288288288288289289289289289289289289289289289289289289288288288288287287287287287287287287286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279288283278274272274274276275274275274273273273274276278282286287288286280276277279278282285290292294298304999999999999999999999999999999999999999288289289292294294296295296296296294295294295295296296298298297298297300298299298298298297297299298298297299299299301301301301297298296297299299299299299301300299301301301301301300300301302302302303302304304306305303303303303303303302303303304303304303304304304304304305304304303303302302301301300299300301301301302302300301301302301301300301303302302302301300301301304303303301304302302303303303302303300301301301303302302301305304303302303303303303301300299299299298297298298298299299298297298297299300300301302301300300300303302303304302302303303303302302303303301300302302302302301299300302300301300299300300300300300299300300301300299299298299299298299299299302302302302302302300302301300300299299299300300301301301301302302303301304304303304304305302301302299299301301300301300301300298298300301301301301300299300300300300298301301299300299300302301301302301301300302302301300300300300299299299299300300300301300300299298298298297296295295294295295295294293294293293295295295294295294295295294293296294295297295296297296295296295295296294296295296295293292292293293293294296294294294294297297298295295295294291292291291291292292290293293292291291290291291290290291290291292292292293292293293294294295295294294293294294294294293293293293292292292292293292292293293293293293294293293293293292292292292292291292292292292292291292293293292293293293294294294292292292293292292291292292291291291290291291291291291290291289291291292292292291292291291292292292292291291292292291292291291291291291290290290290289288288288288288289290290290290291291291292291291292292292291292292292292291291291291291291292292291291290290290289288288287287287288289288288289289289289289289289289289290289289289289288288289288288288288288288288288288287287286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280277275276276277280280277276276276275274275278282284286286285283279276278283283287287290294295297999999999999999999999999999999999999999287289290289292294294294295295296297294295294294295296296297298299298298299299297298299298298299298297297297298300301301300300298297300300298299300300298297300301301301301301302301300301302302302302302302305305304304302306304304304304304304304304305305304304303304305304303305305303303303302301301300300301302301301300300300300301302302301301301302302301302302302299302301300300303304303304302302303303300303302303303302304304303301304302304301303303303302301298299299298298297296298297299298297297297299300301301301301301301301303303304302302303303303303302302303304301301302302301301301298299301299298297299300300300300301300300301300300300300300300300302301301300302302302303301301302302300301300300299299300299301302301302302303304303305305303303303303305302303301299301301301300301302300299300300300301300300301299298301301300301300300299300300301301302301301301302301302300302301300299299299299300299299300301301302300300299297297297295296297294295295295295294295295294295296297295298295298295295295296294296296295296295296296296295297295293296295295294294295292295294295295295295295294293297296296294293292293292292292289292291291290292289290289289291291291291291291291291292292292292293292293294295295295295295295294294293294293293293293292293292293293294294293293293293293294294294293293292292292291292292292292292292292293292292292292293292293293293293293291291291292292292291291291291290291291291291290291290291291291292292292292292292292292292292292292292292292292292292291291292291291291290290290289288289288288289289290290290290290290292292293292293293293293293292292293293291292292292292293291291290291290290289289289288287287288288288288289289289289289289289289289289289289289289289289288288288288288288288288288288288287287287286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282279277277276276278279281282282280278277277276276277281284284284283281278276275278286290292293292294295295999999999999999999999999999999999999999287292291291294294294294295293296294294294294295295295296297297299298298299298299300300299299299298298298298299301301300299301302299300300299297299300299298297299300300300300300301303302301301302302301303305304305306304304305305302303303305305305304305304303303303304305304304305305302303302301301302299300300301300300299300300301301301301300300301301303301300301299302300300303303303304305303301302302302302301302302302302301302304300301302302302302302302301298299298298298298298298298297298297296297300298300300301301301301301301301302302303302303302302302303302302302302300300302303301301299299299298299300300300300301301300300300299300299300300300300302300300302301301302302301301301301299299300300299300300300301302303302302302303301303304303304303303302303303303299301301300301301301301302300302299301300300300300299301301300300301301300301301301301302303302302302301301298302301300299299299299299299298300301300300300299300297295296296295295296293295296294296296297296297294294294295297297297297298294293298296295296295295296295293294295294295295294293291295295294295294294294295295296295296297294295293294293292291291291291293292292293290292291292292292291290288290291290292292292292292293293293295294294294294294294294293293292292292292292293293293294294294294294292293293293294294294293293292293292291292292292292292292293293292292291293293294294293294294293293291291291291291290291290290291291291290290290290291291291292292292292292292292292292292292292292292292291292292291291292292291292291291291289288289289289289289290290290290290289290291292292294293293293292293292292292293292292292292290291290289290290289290290290289288288288289289289289289289289289289289290289289289289289289289289289289289288289288288288288288288287288287287286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277276276277278280282283284284282280278277277278281283283281280280279278274274281288292292293292294296295999999999999999999999999999999999999287292293293293294296293294294294295296295295296296295296297297298299298299298297299301301300300299299297297297298298300300300299302298300300301298297298299298299299299299302300299300301301302301302303301303305305304307303302305306303303305305306304304305305304304304303303304305304303302304302302300301301301300300301299299300301300301302302301301301301301300301300301302302302303301304303303302303303302302301301301302301301301300302300301302301301303302301300300296296298294296297298298298299299298298299301301302302302303302302302302300302302302302303302302302301302301300300302302301302302299299298301300299300301300299300300301300299299300300300300302302300301301302302301301301302300299301301301300300301301301302301302301302303303302303304302303303302303303302300303301300301302302301301303301301300301301302302302301301301301302302301303302301302302303303302302303302301301300301299300300300299299299299300300299298299300298298296296294294294295294294295296296296295294296295295295297294296295298298295297296297297298297296294294293295295296295295294294292294295295293294294294295295296297297296297298297294292292292293291291293292291292292291290291292291290291291291291292292292291293291292293293294293293293294294294293293293292292292292292293294294293293293294294293293292293294293294293293292292293292292292292292292292292293293292292293292294294294294293294292292291291291291290290291291291291291291290290291290292292291292293293292292293292293292292292292292292292292292292292292292291292291291291289288288289289289289289289289290289290290291292292293293292293292292293293293293292292292292292291291290290290289290290290289289288288289289289289289289289289289289289289289289289289289289289289288289289288289288288288288288288288288287287286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280999277276276278279280281282284285286285284282280278279280281282281280279279279276277281286290293292293293295295295298999999999999999999999999999999999294295295293294293293294294295295295296296296296297297297297299299298298299299298298300301301301299299299298297297299298298298302299300299298299299300300298298300301301301300300299300300301302301302302302302305305306305304307308305304304305306305305306305305305304303304304304302303304302303303302303303301302302303302302303302303302301301302302302302302302301301302302300302304302302302303303303304304302302302302302302302303302300302301302301301301302302300299297298296297295297296297300300300298299299301301301301301304302302302302302302302303302303303303304302302301302301301304303302301301299300300300300300300300300300299301300300299299300301301302301300301300300301300300300301300300300301301300300300300300301302301301302302303303303304303301303302303302303303301300301301302302302301302301301301301301301302303302302302303301303303302303303302302303303304302303302303301301300300300299299299299300298299300300300299298300298297297297295294293292294295296296296297294296296294296297298298296296297295294295296296295296295295293294293294295295293294293293294293295293293292294297297296294296296296297297296294295294293295295293294292293292293292292293292290291291291291291291290289292293292292293293294294293294293293293294293293292292292292292292292292293293293294294294293293292293293293293293293293293292292292292293292291292294293293293293291294294294294295294294293292291292291291290291291291291291291291290290291291292291292292292291292293292292292292292292292292292292291292292292292292291292292291290290288289289289289289289289290289289289291292293293293293294292293292292292293293292292292291290291291290290291290291291290290289289289289288289289289288288289289288288289288289289289289289288289288289288288288288288288288289288288288288287286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999999999999287999999999280279279278278278280281281282283284286287287286285284281280280281280281280280279280278279283287289292292292292293294296296297999999999999999999999999999999291295294288292292292293294295296297295295296297296297297297297299298298298300299298298295299301300299300300298298297300298297300300299298298301298299300299298298298297297301300299300301300300301301302302302303305304304304306306305305304303306303304306305304304305303304303304304304304303304303305304304304302301302302302301301302301302301301300302302301301301301302302302302302302301303302302301302302302302302301302303303302302302304303302302301301301299302301299296297297296296300299300300300299299299298300301302301301303302301301303302302303303303303303303303304303302304301302301301302301300299302301300297298297301299299299300300299298297300300302300301299300300301300300300301301301301300301301300301300300298300302301301301301301302302303303302302302304303303302301300302302302302302301302301302302301301301300302303302302302302302303302302303302303302303303303304303303301301299299298299299299300299300300300300300298299299296296295295294294294293295294293295294295296297296295295297294295296293294295295293294293293295297295293295294293295294296294292294294294294294294294293293293291294296296296296296294294296297294295295292293293290290291292293293291290291291291290292290291290293293292292293294293293294293293293294293293293294292292292292293293293292293294293294294294293293292292292292293292292292292292291292292292292292293293293293293294294293294295295295294293293293292292291291291291291291291291292291291291292292292293292292292292292292292292292292292292292292292292292292292291291291292291292291290289289289290289290290289290290289289291292293293293294294294293293293293293293293293293291290290290290290290291291291290290289290290289289288288288288288288288288288288288288288288289289288288288288288289289289288289288289288288289288288287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999300299999999289286284284999288286282281279279279279279280281283284284284284285288288288287286285282281281280281281280282283282284287289289292292292292293294294296297297999999999999999999999999999999291292288287291292294292293296298297295295295297297297297297297298298297298300299296295298299299299298297296296298298299298297301300299299298301300300298299299297297300297300300300301301300300300300301302302303305303305305305304304304305304305305305304305306304304305305303303305304304304304304305304304303304302302303302303302302302300302300301301302301301300301301302303303303302302302303302303301302301301304303302302302303302304304303302302301301303302301301300298298297297297299299298298300299298299299301302302301301302303301301303302302303304303303303302303303302303304304301301301302302302300301300299299298298300301300299299300299298297299301301299300300299299300299300300301300300301301300301302300300299300301300300301301302301301302302302303303301303303301301300299302303302302302302303302302302303303303302302303304301303303302303303303302303303302302302303303303302302301301300300298299298299299300299299300301300300297296296296294294295296293294293294294294295295296297295295296295295296295296295294292294294293293294295294294293293294295295294295295294294294294294294293292292293293296296297296295295295294296294293292294294293293291293292291292293290290291290292293292291292293292293292295295294293293293293293294295295293293293293293294293292293293294294293293293294294293292291291291292292292292292292291292293293292292292293293294294294294293294295295295294295294293293292292291291291292291291292292291292292292293291292292292292292292292292291291292292292292292292292292292292292292292292292292292292291289289290290290289290289290290291291292294293293294294294293294293292293294294293292291291290290290290290291292291290290290290290289289288288288288288287287287288287287287287288288288288288288288289289289289289288289289288289289288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297999999999999999999999288294999999285285284282283282282282282281281281281281281283283284285285286287288289290289289287286284282282282283284284286286287288290291292291291292292293294295295297298298999999999999999999999999285290289292291291292292294294295296295295294295296296296298297297297298297298299299299298299299298299299299299299296296297296297300301299297297298299300300301301300296297299300301301302302302300302302303304302303303303305305305304304304304304304304304304304304304304304305304304304304305304303303304303303303303302303302303302301302300301302301302301301301300300300300303302302301301301302303302302304303301303303302301302301302301302302302301301301302302302300300299299299296297297298298298298299296297297298300301301301302302302302302302302302303303305305302303302302302302301303302302302300300299300299301300299299300298298299299298298299299299300300300299302300300300300300299300301301301301301302300299300299301299299298299300300301301300301301301302302303304303302302301301302302301301301302302302302302303303303303303303304303303303303303304303302302302302302303303303302300300301300300299299299298299300300298300300300300299296296296296294294294294294296295294295295295296297296294295295297298296295295296296295294294294293295294294294293294293293294294293294294294293293293293295295295293293294297297296295294296294294296295293292293293293292292293293294292291292291292292293292293292293292294295295294293295294295295295295295295294293293294294294295293294293294293292292292293294294292291290290291292292291291291291293292293292293292293293294294294294294294295295294295294294292293293292291291292292292292293293293292292292293292292292293292292291292292292292292291292292292292292292292292292293293293293293293293292291291290290290290290290291290291292293294294293294294294295294294293293293294294292292291291290290290289290291290292291289290289289288288288287287287287287287287287287287287287287288288288288288288289289289289288288289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294292999999999283289289297291287287285285283283283284284284283283283283284284284284284285286287287288289290290290290288286285285285285285286287288289289290291293291292291291292294295294295297300297999999999999999999999284284290289291292292292291293295295295295294294295296297296298297297298297297296299299298299299298301300297298299299295298298300301300300301299296300299300300300301300300299300300301302303303303303303303303303302304303303304305305306305305303303305305305303303303304304303304304304303304304304304304304304304304304303303303302303302301302301301301301300300300300301300300302302303302302302302302301303301303304303302303302302301303301302301300301300302302300301301300300298297296298297299297298298297296296297298300301301301301302303302302302302303304305305303303303303304305302302302301301300302302301301302301300302301300300298299299298298299299300300299299299299299299299300300300299298300301302300301299299299300300299298297298300299299300302300302301301302303303302302301301301301301301300301302302301301302302302302302302303303302303302302303302302301300302300302302302302301301301299299299299299299298299298299300299300301300298295297297296294294294293296296296295295296294295295295295295295296296297296296297295295294293294295295295295295294294294293293293293292293292293293293293293294295295297296297295296295294295294294293293294293292293292291292293293293292292291290292292293292293293293294295295295294293294294293295295295296295294294293294294294294293293294293293293292291292294294293292291290290291291291290290291292293294292293292293293295295295295294294294294293295293294293292292293292293292293293294293294293292292292293292292292292291292292292292292292292292292292292292292292292292293293293292293293293293293293293291291290291291291291292292293293294294294295294294295293293293294293293293292292292290290290289289289290291291292290289289289288288288287287287287287286287287287286286287287287287288288289289289289289288288289289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295293291288999999283287284281286283281283284284284284284285285285284285285285285285285284286287287288289290291291292290290289288287287287287287287288289290290292291291290291291293294293294295296295296294293999999999999282281282287289291292292292291293295295295295295296296297298296298297297297298298297298299299299298297299300299299298299298298296299299301300300300300299299300299300300299299299299299300302303303304304302304302303303305305304305304305304304305303304304304304304303302303303303303303303303303305304305305304305304304303303303303302302302302302302302301301301300300300301301301301302301301301302303302300302302304304303300302302301300302301301300301300300301302301301300300298298298296296296296296298299298298297298299300300300301302303304303304305304304305305305303303302302302302303301300300301300300302301300301301299299299297298299299299298299298299299300299300299299299300300299298298297298298299299300299300300299300301299298298298296297298298299300300300302303303303303302300300301301301301300302302301302301302300302301302302303302303302301304303301301301301298300301302301301301300300299299298298298299299298298298298301301300299296295295296294294295295294296295295296296295296296296295295296296295295296295296296295294294295294294294294294295294294294291293292293293293293293293294293293292295293295296297297296296296295295294294293292293293294293291292291292293292292291291292291292291292294295296297297298296296296295296295295295295295293293294295293295294293294294293293293292291292293293293292292290289290290290290291292292293294291293293293294294294295295295295294295294294294293293293293292293293293294293295293294293293293293292293292292292291292292292293292292292292292292292292293293292292293293293293293293293294294294294294292292291292292292293293293294294294294294295295294294293293293293293293292291291291290291290288289289292291291291290289289289288288287286287286286286286286286286286286286287287288288289288288289288288288288289289289289288288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290288290999999999284279280281281282282283284285286286287287287287287287286286286285286286287288288289290290292290291290290289288288288288287287288290290291291290290290291290293293293294294295294294293292288999999999281287284288289291293290291290292294295294294294295295296297296297297297298298298298299300300299298298299299300298294297298295296299300297298298299299299300299300299300298300299299299301299300304303303303305305305304304303304305305305305306305304305305304304304303304303303303303302304304304305305305305305305304304304304305303302302301302302302302303303302301302301302302302302301301300301301303302302301303302302302301299301300303302301302300301301301303301302301300301298296296295295295295296297299297298298298298299299300301302303304304305305305304304305305302302304300302303300301300299299300300299299301300297297298300298297300298299298298298299300301300299300299299299299298298297297297299298298300300298300300300300301298299297297296296297299300298298299301302302302302302300302299301301301301301301301301301301301302302302302303302302302301301301301301301299301300301302300300299300299298299300300299300300301299299300301300298294295295296295293296292295297295296296296297296296297296296297296296296296296296295296295294295294294294294293294293295295293293294294293293293292293295293292293295294296295295295295295297296294295295296294293293293292291291290291292291292292291289292293293293293295295297297297297297296296295295295295295294295294295294295295295295294294293292293293292292292293294292292291290290290291291292291292292293293293293293295294294294294295295294294293294294294293293293293293294293293293295294293293292293292292292291291291292291291291292290291292292291292292293293293293293293293293294294294294294294294294294294293293293293293294294293294294295294295295294294295295294293293293292292292291292290290290288289289290291292291290290289289288287287287286286286286286286286286286286286287287288288289289288289288288288289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289999277284276279281281281283284283284285285286287288287287288287287286285285285285286287287288288288291289290290289289289288288287288288288287290290290289289290291291289291293293292293293293293292290290289999999283284291289289292289289291291292293292293294294294295296296297297297297298299298298299300299299298298299299301299294298298298297299298297299300299300299299299299299300299300301300300300299301303304304305306305306305306306303303304305305304306306304304306305306305305304304305303303303304304304304304303305304303304304305304304304302302302303303302303302302302302302302302303303302303301302302303303301302303303302303300302301303302301300301302302302302301301301301299300298297296297295295295296296297297297298297298299299300300302302303303306304303303302303303303304303301303303303301299300299300300300298299297300299300298298299298299298298298297297300301300300299299298299297299298299300299301300299299300300300300301299301300300299297296297297297299300299300301301301300301299301302300302301302300300301301302301301301302302302302302302302299300301298299302300300302302301299301300300300300299299300300300300300300301301301300299295294295295296295295295295296296295296295296297295297296296296296296295295293295295295296295294294294295294294294294294294295294294295294293294295295295293293294297292296295295295296296296298297297295295295295293294293293293291291291292291291291291292293293294294294295295297296297297297296296295295295295295295295295294294294295295294294295295293293292292292292292294293292291290290290291291292292292293293293293294293294294294295295295294294293293293293294293294293293293293294294293293294294294293293293292292292292291292291291290293291291292292291293292293294293293293294293293294294295295295295295294294294294294294293294294294294294295295294293293294293295294293293294293293293292292292291290290291289290289290292291290290290289288288288287287287286286286286286286286286286286287288288289289288288288288288289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999296293295289287282279280280280280283285286285286286285286287287288287287286286287287286286285286286287287288288288288288288288289288288288288288288288289288289290290289289289290290290290290292292291291294293294292291291290999999282287290289289292288289290290292293293293294294295294295297298298298297298299298298300301300299299298299300301301299299297296298298298299300299299300299299299299299300301302301300299299301301302305303304305305305306306306305305304305304305306306305304304306307306305304303303303303304304304303303306305305304303304305303302303303302302302302303303301302303302302302303303302302302302302303301301300300302302302301302302301300301302301299299300300301300300301301301301299298296295295294295295294294295296298298298297299301299299299302302303303303302303302302302301302301302300300299300299300301301301301299298299300298301297295300298298298297298297298299300300301300299299299298299298299299299299299300299301301300300300299298300299300298298298297300300299299299300300301301301302303302301302302302300300301301301301301301300300303302301300299300299298298300300299299301300300300300300300300299298298300299299299300300301299300300297295295296296295295295294296296295295296295296297295297297297296296295296296295296296295295296295296295295295295296296293293293295296296296295297296295294293293296296296293294295295294294296295295295295295295294295294293293293292292292290291291291291293293295295295295295295297296296297295295296295296296295295295295293293295295296294294296295296294294292292292292292293293292292290291291291292292292292293294293293293292293294294295295295294295294293292293293293294294293294294294294294294294293293293293293292292291292291291291291291291292292292292292292293293294293293294293293294294294294295295295295295295295295294294294295295294295294295295295295293293294294295294295293294294294293292292292291290290289289289289290291291290289289288287287287287286286286286286286285286286286286287287288289288288288288288288288288288289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297999292289290288287283282283284285285287287287286287286286287287287288287286285286286288287286286286286286287288287287287286287287287286287286287287288288288288289290289289289289289290289289289292291291292292293293290291291289999999282286288288289293288289289289292294294294293295296295294296297296299297298299299298301301300300299298298299299298298300296297297297298299299297298300298300299299300300300301301299298300301301303304305305306305306306306306305302303303304305307303307304306306305306305305305303303302304305304304304305304305305305305304304303304303302303303303303303302304303303303302304301302302302302303302301301301301302302303301302301300302299299300300299300299299300300299300301300299298295295295296295297294295295297298295297298298298299299299301303303304303303302302301300301300300300300298300300302301303302302301301301299300300302299298297299299298297298297298300301302301299299299299300299299299299299299299301301301300301299300300298301299300300299300298298299299299300299299300301300302302302302302301299301301300300300299300300301299299300300299298298299298299297298298299300299299299299299297298298298299298300298299302300299299299300297296295296295295296295295296296294296295294295296296296297296296295295297295295295294296295295294294294294295295294293293293295295294297296297296296296295293296295296297291293293291295294295295297296295296295295295295294293293292292292291292292292293294293293294295295295295297296295295295295297295294296295296295294295296296295295295294294296296296294295293292292292293293293293291290290291291292292292293293293292293293294294294295295295295294293293292293292292293294294293293293294293294293293294294293293292293291292292291291292291291292291292293292292293292293294294294294294294294295295295295295295295295295295295294295294295296296295295295294295294294294294293294294293293293293292291291291290290290289288288288289289290289289289288287287286286286286286286286286285285286286286287288288289288288288288288289288289289289288289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296293293290292286285285285286287287288289288288287288287287287287287287287287287287287286286285285286285286287288287286286285285286284284286285286288286287287289290290289289289289289289289289289289290290290291290291290291291290283291285287287287290290290289289289292294294293293294295294294296296298296297297298298298301300300300299299299299299299300300297298297297296298299299299299299300299301300299297300298300301301301303306305305307307307306306306306306303303302305306307303304307304306305305304304304304302303304304304304304305304304304303304304303304303302303302303302303303304303302304303303304303303303302302302302302301301302302302303301299300302300300301301300302300300301300299299299300299300298296295293295293294296295294295296295297297298299300298299300301301301304303303303302301302301299301301300300299300301302302301299299300301299299302299298299298298298298299300300301300303301301299299299300299299299299299299299300300301300301300300300299299300299298297299299300300300299300299299301301301300301301300300299300299300301299300299299299298298297298299299297298298298296297298296297298298297298299297298299297298298297298300300301299299300300299295296295295295294295294293293294294295295294295295296297296296296297296294299296294296295294294295294294295294294294293294294295297296296296294296295295295296295295296296292294295297298295294295295296295295296294295295294294293294292292294294294294293293293293294294295295296296296296296296297296295294295294294295295295297296295296296295296296295295294295294293292293293293293292291291290291292292292293293292293293293293293294294295294295296294292294293293293293294293293293292293294293294294294293294294293293293292292292291292292291291292291292292292293293292292293294294294293294294295295295294294295295296295295296295295296296294295295294294295295294294294293294293293293293292293292291291290290290289289289288289290290290290289289287287286286286286286286286286286285285285286286287288288288288288288288288288289289289289289289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294293294295293292289287288288287288289288290290289289288288288287287288287287287286287286286286286288288287286286287287286286286285284285285285285285285286287288289290290289290289288289290288287288289292290291290291289291288291288287288286287286287288289290291290290290292293293292293293294295295295296297296297297298298298299299300299299299299299298299297298297298296299298299298299299301300299303300301301302301301302302301303304305306308307307307308307308307305306306307306307307304305305305306306305304304305305304305304304303303304305305305303303303304304305304303302302303302303303304304303303302304304304303303304302302302302301303302303303301301301300300301300300300302301302302301301300300299298299299298296296294294293293296292293294295295297298299300299300299300300302303303303303304302303302301302300300301301301299301300301301301300298299300299301299299298299299299299299301301300301302301301301300300299300299299298300301301301300300301301301299298299299299300300300300299299301299301299299301302301301300300300300301300300299298300299299298299299299298297298298298297297298297299298298297297299298298298298299298297298298298299300300301296299301299300296296296295295297293295294295294294294294295294296297295296297297296295296294298297294295294294294294293294294295294294295296295297296295296297296297295293296295297297296296296295296296296296295294295296294294294294295294294294294293293293295294294293295294295294294294295295296296296296296296296297295295295295295295295295296296296296296296296296295295296294295294294294295294294293292292292290292292293293292293293294293293293294294295295295296295294294293293294293293293293293293294293293293294293294293293293294293293292292291291291291291292292292293292293293293293294293294293293294293294294293292295295295296296295296297296295296295295295295295295294294294293294293294293294293292292291290291290289290289289288288289289290291290289289288288287287286286286287286286286286286286287287287288289289289289289289289289289288289288288289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999298293999999292292292292290294290291292292292290289289289289289289289290290290289288288288288287287287287287288287286286286288286286285286287285286286285287287286286286287287287287287288289290290289289288288289290289288288287289290288289289290289288291292286287287288286285288288289289290289290288290290293295294293294295295296296297296296297297297297298298298299299300298298297298298296297297298299299297298298300299299297300301302302302301301301302302301302304304307310308308308308308306306306304307306307303307306304305305305304304304304304304304303303303304304305304305303303303304304304305303303302301302302302302302303303304303303304304304301301303302302303302303302302302301301300300300301301301301301303302301300302301299300299297299297297296294293293294292294293295294296297298300298300300301299301300300303303303303302303301301301300300300299300301300300299300301300300300299299298298298297298298298299300301301301301300301300301300300299300299298298301301300300301300300301300300299299299300300300300300301302301300299300301301302302301301300301300300300300299299299299298297298299298298297297296296296297296297295297296297298298298298298298298298298298298299301301299299300302300298296296295295297296295295293295294294294293297294295298294295298296294293294294295296293295294295295292292294294295295296295296296295294295295296295295294295296295294296296296295294294295294295296294295294294294294293294294294294294294294294294295295294295294295295295295295296295296296296296296295295296295296296296296296297297296296296295296296295295297296296296295295294294294294293292292292292292291293293293293294294294292293294294295295295294295295294294293293293292293294292292293293293294293293293293294293293293292292291292291292291292292292292293293294294293292294294294293293293293294294294293294294295296295296296296295295295295296295295295294293294295293293293293293293293293292288290289289289289289289289289289289290290290290289288288287287287286287286286286286286286286287287288289289288289289289289289289288289289289289288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305999306307999306999999999999999999306999999999999999999999999999999999999999999999999999999999999999298297299294291288288287290290999289292294292290288289291290289289289289289289289290290289289288288287287287287286286287287286287286286285286284286287285285285286287287287288287288288288288288289289290290288289288288289290287288289288289287288288288287288289289289288288287289287287288292290289289289289289290291293292295294294296295295295296297298296296296296297297297299299298296297297298296297298296299297298299300299299299297297300301301301301301302303301300301303304303307308310308308309307307307304306306307308307304307306305306306306305302304303304304302303303304304304305304304304303303304304304303303302300302302303302302303303301303302302302303302301303304303302303301302302303301302302301300300301301302302301301301301300301299299299298296298296294294295292293293294294294295296297300300299299299298300299300302301303304302302302302301300301301299300300301301300299301300299299300299299299298297297298298298300301301301302302302300299300298299300299299298300300301302302303300301301299299299299299301299300298297298302301302301301301301301301303302301301300300300300299298298298297297297297298298295296296296296296295294295296297298297297297297298298298298298298298299300299298299298300299297296296295295296297295294293294294294295294293295296297296296296297296294294294294295293295295295296296294294294296298296297295297297296294296295295297297297299296293297298298298295294296296297295294293293293295293293293294293294294293292293294295294295294295295295296295296296295296297295295296295295295295296296295296296296297297296296296296297296296296297296296295295294295294293293293293292292292293293293293293294294294293294294294295294295295295296295294294294295293293294293294293293294294294294293293293293294293293292292292293292292292291293293294293294294294293293294293293293292293294294293293294294294296296295296296295296295295297296296295296295294294294293294294293293293291292288289288288289289289289289289289289289290290290290288288287287287287287287286286286286286287288288288289289288289289289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305303306307306305305305302299999999999999306999999999999999999999999999999999999999999999999999999999295292291292293292291290286290288291289292292288287285286288289289288288287288288289290289289289289288288287287286286286287288288288286283285285284285285286285285286288288289289289289288288288288290290291290289288288288288288288288288288288287288287288288290289289292288288289288288288289290290289289287289289291292292292294293295296294295294296297297296295296296296298296297297297297296296298297297297297297298298299299299299301300300299300302302302302301302301300303303304304306307307307306308308307307306307307305308308306306305304306306305304305305303303303303304303304304304304303304304304304304303304304304304304304300301303304302300301303302303301303303302303303302302302303302303302303302302302301301301302301301301302301301300301301300300300298296296295295294294293293293294294294298298298299298300301299300299300301302303302303303303301301301301301302300301300299299298298299301299299298299299298298298299298299300301301301300302301302300301300299300299299300300300301301301300300300299299299299300300301298300299300299302302302302301302303302303302302302301300301301299298298297297297297297298298298297295294296295295296296297297297297297297296297296296297297298299299300300299299300299301298297296296296295295295294294295295295295293295294293294295296295296297295294297294298295295294294293297297296298298297298298299297295298297296297297296298297296298297296297296297297296293293298298295294292293294293295294293294294293293294294295293294295295294295295295295295295296295296295296295296295295295296296296296295295297297297297297296297297297296297297296295296296295295294294293293293293293293293292293294293293294294293294294295295294296296295294296294295294294293293294294293293293294294294294294293293293294294294293292293294293292293293293294294294294294294293294294294294294292293293294293293294294294295295294296295295296295296296296295294295294294294293293293292294292292291291288288288288289289289289289289290290290290290290290289288287287287287287286286286286286287287288288289290289289289288289289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300304305305305305305306306305305303301999999303304305307307305999999999999999999999999999999999292294295289290291292298296294290290290291291290292295295295292290285286286288288289289287288288288289289289288288288289287288287286287286288288288288287286287286286285286286286287286286288289289289289289290289289290291290290289288288289289289289289288290287287286286289290291288289290289289289289289289290291291291289290290290291292292293294294294294296295294294296296296296296297295296297297298298297297296298298297296296297298298299300299301301303302303300300302301302302300301301302303304303303305305304305307307307306306306306306305307308307308306306306305304304304304304303303303304303303302305305304303303304304303303303303303303303303303304303303301301302303302302302302303303303302302302302302302303303302301302301301301300300301301301301301300301301300300301299296296297294294293293294294296294296296298299299299300301301302301301301303302303303303303302301301300300300299299299299299298298299299299300298299300297298296296297298298299301300301302302300301300300300300300300301299299300300299299300300299299299299300302299299299300298299300300301300302302302302301301301301301300300301300300296296296296297295296297296296296296295294296296295296296297296296297296297297297297298298299299298298299299300300299296296295295294294294294293293292293294293292295294296294294293293292295293296294294295293297293294294295297297298296296299298297297296296297295295299296298296294299296298297296296297297294293296297296297293291293293293292291292292293292293293294294295295296296297296296296295295296295295295295295295296295295295296296296297297296297297297297297296297296296296297296296297295294294293293293293293293292293293293294293293294295294295294295296296296296296296296295296296295295294294296295294294294294294293294294294294294294295294294293294294293294293293294294294294293294294293293293293293293293293293293293292293293294294294294295295294294295295295295295294295294294294294293293293293293292290289288288289289289289290289289289289289289290290290289290289288287287287287287287286286287287288288288289289289289289289289289289289290289289288289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299299301302304307307305306306306305305303303305305305306307307306999999999999999999999999297294291291291291287291291292294293290289289291293290290294297295292289289287286287287288289288287287288289289289290288288288287288287287286287287287287288286287287287287286286286286286286286286290290290290290289290290291291291291291290288288289289289290288287286287285287286287286288289289290290290289290290289290291291290290291289290291292292294295296293293296296294295295294295296297297296294295296297297296297295296295297297297299299300300301299300301298298300299301300301301300300300301300303303302304304306305306306308307305305306306307307308307308306305304304303303303302302304304304304302303303302304305304302303303304303303305304303302304304304304303303302301301301304302303302303302302302303302302303301304302302302304302302303301301301301301300300299302300301300300300298297295295296294294295294294295294298298299300301302303302302302301301301300302302302302302301301299300299299300300300301300298301302301298299299299300300298297297297299300300300300301302302300301299300299300300300300300300301299299299298299299299302301301299299300301299300301300301301301301302302302301301301301301301301300300298297296295296297296294296297297296294296295295295294295296296296296297297297298298298299299299298299300299298299296295296294295295294294293294291291291294295295294296296292292295294292295293297295295296296298296295295297297297295296296296298296295296297295301297298298297299295298299298297296297297297297297294294293293293295294292293291292293291292293295293292292295294294295296296296296294295295295295295295296295295295295296296296296297297297297298297297297297298296297296296297297297295294294294294293294293293293293293293294293294295295295295295295296296296296296296296296295296296296295294294294294294294294295294294295294295296294295294294294294294293294294293294294295294294293293293293293293293293294293294293293293293292293294294294294295294293295295294295295295294294294295293292292292291292290290289289290289289290289289289289288288289288290290290289289289288287288287287286287287287286287288288289290289289289289289289289289289289289289289288289289288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301303301303303305306306306305305305305305305305304307306308307305999999999999999999999999296293294291291290290289291291291290290288287286288290290290291293290288288289288288288288288288289289288289289289289290289289288288287287288286286287287287286286287287286288287287288288287287287286293291290290291290291292291293291291290288287288289289289289287287287287286286288288288288288288290289289290289289290289291292289289289292290290292293294296296293293294296294294294294294294297295298295294296296297297297297296297297298298298299299299300300299300300302299300301301301300299303301301301302302302303304304305307305305307304303306305308307309308307306306305302303304303302302303302303304303304303303303305304303303304305303304305305303303302302302304303303303303303302302302303304303302302302302302301303302302303302302302303302302301301301301303300301299301301301300300299299298297296296295295295296296297298299298299300301300301303302300300300300301302302300303302300302300301299301300300300302299301301299300299299300298299300300298298299298300300301300301301301300300300300300299300300300300300301299299300298299299299298299299299300299301300300301300301300300299299302300302301301301301302300301300299298297297296296296293295295295295296294295295295295295294295296296295296297298297298299298298298299299299299296294294295295296295294294293293292293294294294295293294296291296295295295294295298298296295296298296296296296297296297296296296298298296299299296299298298298297298295297295295297295297295295295293294295294294294293293292293294293295293293294295293293293294295296296296296296296295296296295295295295295295295295296295296297297297298298297297298297296297298297297297297297297296295294294293294294294293293293293293294294294295295295295293295296296297296297297296296296296297297296296295294295294295294294295295294294294294294294295294294294294294294294294294294293295294294293293292293293293293293293293293293293293292292294294293294293293293294294294294295295295294295294294293294292292291290289289288289289289289289290289290289288289289289290291290291290290287287288287287287287287287288288289289289290289289289289289289290289289289289288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305303301302303303305304307306306306307304305307306306307307306999999999999999999999297999297292293291291291290290289292291290288288288288287288290290287287286288288290289290290290291290290290291292292291291290291290289289288288287287286286287286286286286287288288289288289289287287288288290290290291292292293291293293292291290288288288288289289290289288287285286286289289289289288287288288289289291290290292291291289289288288287289290293294295295294293293296295295295294295296296295297294295296296296297297298298297297298299298298298301301301300302301302301302300300300300301302300300301300301303301301303305306306306306306306305305307308309309308307307305304303305304303303304303303303303302303302303303304304303304304304304305305303303302302305303303302302302303303302302304303304304303303302302302302301302303303303302302301301304303302302303303301301302300301299300300300298298297297295296298296296297300296298300302301303301300302302302300301300302300301301300301301301300300298300300300302300301300300300301301300300300301299300300301300301302301300301302301300299300300300300299298300299300299298299300299300300299299299300298298298301300301301301301302301301302302303302303301301301301301301301300299297297297297297297295295294295295295297297295294296294294295297296296297299298297298297298298299299300298295295295295294295295295294294295294293295295294294292295296295295295296296296296298297297297297296297298298298299299297297300300298299300299298298300298299298299297297299295295297294297296293295292294296296293294293293293293295294294294293293295294295296294296294296296295296295295296296295295295295295294295294295295296297296297297297297298299298297297297297297297298297295296294294294295294294294294293294294292293295295295295295295295295296296296298297297297296297296297297297296295295295295294296294295295295295294295294294295295295295294294295295294294295294294293294293293293293293293293293293293293292293293292293293294294294293293293294294294294295295295295294294294293292293291290289289288288289289289290290289289289289288289288288290291289290291289288287287287287287287287288288289289289289289289289289288289288289289289289288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305305304304303304304305306307307306306306306303305306307306306307999999999999999999999999298294292292291290291292291289290289289289289288289288287288288287286287288288288289290291292293294293295294294294293293292292292290289289289287288288287287285285285285286287288288289290289286286286289291292290293295291291290292293293292291289288289288289290289289289288284285286285286288288288287288289290290288290290290291291289288288289290290290292293295295294292293295294295295296293296296296295297296296297296296296296297297296298299298299298301300300300301303300301301301300299299300300300301299301301301302304303303305306306305303306306304306307308307307307305304303302305302302303302303303303302304302305303303303304303304304304304305304305304303302304303303303301304304304303303302304303304302301302302301301302302303303303302302303303303300302301302302301301300300299300300299298298298298298298299296297298297298299300301303302301302303302301303304300302300299299301301300301300300301302301303302302300300299301301301302301300299300300300300302302302302300302301301301301300300299300299301300300299300301299301300299299300299299300299300300300300300300302301302302302303303302302302300298301301301301301302300300298298297297297297297295296295297296295297295296296295296294297296296299298298299298297299300300300299297294295294295294294294295294294294293293293293294294294294294295295295296295294295297297296298297297298298298299298299299298298298297298298299299297297297298298299299299298298298297298297297297296295296295295294294296294292296296298298295294294294295294295295296295296296295297297296297296294295295295295295295295294296296296297297297297298298298298298297297297297297297298297295294294294294294294294294294294294294293295296295296296295296296297299300299298298297297297296296297297297295295295295294296296296295295295295295295294295295295294295294294294294294294294294294294294293294293294293293293293293293292293292293293293293294294293294294294294294294294294294294294295294293290290289288288288288288289290288288289289288288288288287288288289290290290289290289288289288288288288288289289289289289289289289289289288289289289289289289288289288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999310306305305302304304303304306307308305305306305306307307306307307308308307999999999999999305301299295294293292291289290291292291290289291289289291290289289288286287285286287287289290292292294294296295296295295295294293293293293291290288289288288288287287286286285286285286287287287288288287285288289291292290291292291294293293294293292291291290287288289290289289288287286286286283284286286288288286288288289289290291290291291290288286287290290289291293294294294295296294295294297295295296296296297296295296297297297296296297297296298297299299298299297299300299300299299300300299299299299300300302302302300301303303303304304304304305305306305304305305305306305305305305305304304304301301302301303303303304303303303303302302303303304303304305304304304304304305303303303302303303303303303304303304304303302302301301302302301301303303303302303302302302303302302302302301301301300300301301300299299299299299297298298299299299300301301303302302302302302303303301301301301300299302300300301300301301302300301301300301300301302301301300301300302301302302301301301301301302302301301301301300300300298300301298298298297300298300299300299300299299300299299300300301301303302302302302302301302302301302301300299301300300300300300300298297296296297296297297298296296295297296296295296295295296296297297298298299299299299297299300300298295295295295295294294294295294295294295295293293295294294294295294294294295295295295296297296297298297297297298298298298298298297298300298300299297299298298297299300299299298298298299298297297296297294296297295295295294296296296297297298296296294297296295297296296296296296295298296297297296295296295294295295295295295296295295297296297297297298298298297297297296296297297298296295294294294294294295295294294294294294293294295294296295296296297298298299299298298298297297298297298297298296295295296295296295295295296295295295295295295294294296296294295295294295294294294295293294293293293293293293293293293293293293292293293292292293293293293294293293294294293293294294293293293293291289288289288287288289289289289289288289289289288289289288288289290291291290290289289289289289289289289289290289289289289289289288288289289290288289289289289288288288288286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306306311308308308304305305305306308307306307306305305306306306307306306308308308308999999999999999307302298293293294292292290289289289290291291291291293294295293290290290290289290290291292292294294295295296295295295295295295294294294292292290289289288289289288287286286285286286286286288287287288286286288289293292291291293291293293294293293292289290289287288291290290290288288287288283286284284286286284285288289289288290290290290292290287286287288289291293293294295296292295295296295296297295296296295296296295298296297296297298297299299298298299299299300298299299301300299299299300300298298298299300300301301301301303304304304304303304304304304304307305307306307304305305305305304304305301302304304301301303303303301303303302304303303303303304303303304304304302302303302302302301302303304302304303304303303302302302302301301302302302302303304304303302301302302302300301301301299300302302302300299298300300298297298297299299300300302303305304302303303302303304302302302302300298302301301301303301301300300302302301302303303301300302301302301301300301303302300301301301302301303300300301299299300298299300299297300300300300299299300299300300300301300300300299301303302302300300301301300299300302302300300299299301301300301300300299298298297297297297297298296297297295296295296296297297297298297298299299299299299298299301301299298296295295295296296296296295293294295295294296296296295295295296294295295294295295295295296298297297296296296298298298299297298299297298297298299298300299298300299299299299299299299298297298298297297297296294296294296295296295296295294294295294296296296296296299295295297295297295296295296296294296295295296296294295295295296297296297297297297297297298297296297297297297297298297295294295294294295295295295295294295294293294295296296295296297298297298299300298298298297298297297297297297298296295295296296296296295295295295295295295295294295294295294294294294294293293294292293292293292293292293293294293293293293293293293293293292293293293293293294293293293293294294293293293293292290289288288287288288290289289289289289289288288288288288289288289289290290290289289289289289289289289289290290289290290289289289289289288289289289289289289289289288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303306307307309307306305305304305306307306306306306305306306305305307306307308309309308305999999999999999999299295294292292290290293289290292294293295294295295295295293293292293293293293294295295294295295295295294295294295295294294293293292291289288289288289289287287286286286285285287287289287287290290287288291290291290291295290291293292291292291291289287289289290288289289287286285282283282286287286284286287287288288288289291290290290292289288285288288292292292296294295295295296297295295295296297296296296297296295296296297296296297298299299297298298299298298300299299300299299299296299299298298298299301303304302301302303302303303305305304304305304304303304304305306305304303304303302302303305302302302303301303303302303303303302303303303304303304304304304303303302303304304303303303303304303302304303304304303302303302301301301301302302303304304303303304301303302301301301301301301302302303302303300300300301300300299300301303302302303304304305303305303305305302303302302301300300302300301302302302302300302302302303303302301302302303303303303302301301302301301302301300302302302301301300300299298299297299300300301299298300300300299300300299301301300300298301301300301301301301300301301301300300300300300298301301302300299299298298298297297296296296295296296296295295295295295296297297297297298298298299299299300299299298297297295294294296297296296296294293294295293296296295295295296294295295296295295295296295294294295297297295295296296297299297298296297299297297298297297297298299298298299299299299299299297298299298296297297296296294294294294295294295294295293295295299299295299298299298296296295297296295295296295295295296295295296296295295294295295297297297297297297297297297296297296297297298296295294294295295295294294295294294294293292292292295295295295297296297297298297298297298298297297297297297296297297295294294295296295295295295296295295295295295295295295296295295295295294294293292292294293292293293293294294294294294293293293294293292292293293292293293293293293293293294294292293292293292290289288287287287287288289289289289288288289289288289288289289289289289290290291291290290290289289289289289290289290290289289289289289289289288289289289289289289289289288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304307306303306307305305306305306306306308308307306307307307307306307307308309309310308308999999999999999297296292292290292292292291291294294294294296296295296296296294293293294295295294295296296295295295294294294295295295294294294293292292290289289289288289292288287288287287286287288287288289289290290288289290290290290289290290291291292290290290290288287288288289288288287287287284284283283287284286285286286286287287287289291289291291289291289286286290293293293295295296295296296296295295295296297297299299297295295296297297295295296296298297299297299298299299299299299298297299299299298299299298299299300302304303303304302303303303301303302302304304302303305305306305304304303302303303303304304303303303303302301303301303303302302302301303304303304304303303303304304303304302302303303303303303303304303304304303302302300302302302302303305302304303304304303302302303302301300299301303303303302300304302303301303300298298303304303303303304305304305305303304304304304304303303304301301300301301302301302301302302302302303303302302302302303303303302302302303301301302303303301300301301301301301301299299299300298299299301301300301298298298298298300299299300299299299301300300301302301301301300299299298298299300300300301302301300299298299298295296297297296296295297297296297295295296296295296297298297299299299300299299298299298297296295294295296296297297296295296296296296294295295296296296296295295295295295295294295294294294296297296296297296297297297296297300299297297297296297296297298298299299299299298298298297298297295296296293296296296293294294296297296293294295295295296299298298298297297297294296296295297297296294295296294295295296296295296295295294295296295296296296297296297296296296297297296295295295294294295296295295295294295294294293293293295295293295296296297298298298298298298297297297297297297296297297295295295295296295296296296296295294294295294295295295295295294294296295293292291293292293294294293293293294293293293293293293294293293292293293292292294294293293293294294293293292292292290288288289287287287288288288289288289290289288289289289288289289289289289289290291290290289290289289289289289289289289289289289289288289288288288289288289289289288288288288288288286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306306305305303305308305305305305306307306308307307306307306307307307307308308308308308309309999999999999999999999290287286289292290289293294295295295295296297297296295295294295295295295295295295296296295294293294294294295295294294294292293290291289289289289290291288287287287288288288289288289288288289290291291290290290290291290288292291290289288289288288288289288288287287286287289287285285284284286285285285286286286286286288289290289291291291290289289289290290293294294293294297295295295294296298297298297296297295297297297297295296296296296297298298298299299299298298296297297298298298300299298298299299300299304302302301302302301302303304304302304305303304304303303303305304303303302303302304303303302303303303304304301301303301303303301303303304304305304304306304305303302302304304303303303302303302304304305303302302302301303303303303302302305304303302302303303302301302302302301301303302302303305302301301302302301301302304302305305305306305306304305304303303304302303303303302301300301302301300301302303303301303303301303303303303302302303303301301303303301303302302301301301301300301300300300299300299298301300301300301300298300300298298299299298299297299299299300300299301300300300300298299300298299298299300301300300301299298298298297297297298297297297297298298297296297296296297297297296297299298298299299298298298298296296295294295294297297296296295295295295296296296295296295295296295294295295295295295294294293294295296296296298296298297297296297297296297295297295294295297296298298298297297297298297297296295294295295294294294296295295294296297294295296296295295298297295297298296297296296296296296296296296295295295294296295294293294296294294295295295295296296296296297297296296297297297296295295295294294294296296295294295294294294294294293294295295296297297297298299297297297297297298297297297297297297296295294295295295295295296295295295295295294295295294295295295295295295295295294292292292292294293293293293294293293293293293293293294293292293293292292293293293293293293294293293292291290288288288287288287287288288289289289288289288287288288289288289288288288288289289290290290289289289290289289289290290289289289289288288288288288288288289288289288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312309310304304304305307303304303306305306305307306307306306307308306307307308308308309309308307306303999999999999999287286282287290290290293294296296297297298298297297296296296295295296296295295296295295294294293293294294294294294293293292291291290289288288288289289288287287286288289288286287289288288289289289289291291291290290290289290290289288288288288289288289289287286284286284288289290288287285286287287286287286288286286286289287290291291291291291288291291293292292293294295295294294296298299300300298297297298296297296296296296296295297296297298297299299299298298299297300298299298298298298298299298299301304303304302301302300300303302303303303304304302304304303302304305304304304302304303304304304303303302304304304302303301301302303303303304304304304304304304303303303303302302302302302302302302302303303304303303302301302303302302301301302303304303303301304302301301302300301303302302303302303303304302301300302301303305305305304306306305303303305304304302304302303303302304301299302300302301301301303302302303302301302302303302303303303303301301301302302302303301301301301300301301301300299298298299300301299299301301301299299300299299299299298297298300299299299299299300299299299299298297298298298297297298298299299299300299299298297297296297297297297296297297297298296297295296296295297296297298298298299298297298297297297297294294294295297297296295294293296295296295295296296296296296295294294294294295295295294294294295296296297297296298297297297297297296298298297298297297297298298299298299298298298298293297295295294295293295294294295296296297295296296298296296295296295295296298295296295296298295296297297297295295295295295296294294293295294295294294295295296295296296296296296295296297297296295295295294293293295296296295295295294294293293294294295296296295296298299298297298297297297297298298298297297296297295295295295295295296296295296295294293294295296295295295296295295295295295294293291292292293293293293292293293293293292292292292293292293292292292293293291293294292292292292291291289288288288287287288287288288288288289289289289289287288288288288287287289289289288290290290290289289289289289289289289290289288288288288288288288288288289289288288288289288289289289288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311307306304305306304306305304304304304304307308307307306306306306307307306306307306307307305305306999999999999999292288283279282287289291294295296297297298298298298298296296295296295296296295295294295294293293292292294293294294293292291290290289289289288288288288288288287287288288287286286287289288288289289289290291290291290289288288288290287287288288289289288289289290288288290288290290288288287287287287287286287287286285288288288290293295292293293290289292292292290291293294295295294296296298298298299299297299298299297297295296296296295295295298296297298298296299298298298299300299298297298297298300298300302302302304303303305303303302303302302305303304304304303302302304304304303304302304303304303303303303304303303303304302304303302302303303304302304304304305304303304303303302303303303301302302301302302303304304303303303303302301302303303302302304303304303303303304304303302303303302303303301304304304304303303303303304304304306304305305305303303305304305302303303304303303305304302302302300303300299301302303302301302302302302302302303302302302302302303301303302302301301300301299301300300299298299301300300299299299298300300298299298298297298296296298297297298300298300300300299299298297296297298299299298297298299299299299299298298297297296296298298296297296297298298297297294294295295296297296297298298299299298298297296298298294295294296297298297295294295297297298297297296297296297296296295294294295295295295293295295295295297297297297298297297297298298298296297297297298297297297297298298299299298298298298298297297293295294294296295295295295297295295296295296296296297297297296299296295298299299298299295297297297295295293292293293294293293294293294294295294295296296296296296296295295295296296296296295295295294295296296296295294295295294294294295296296296296297298298297297297297298297297297296297298297296296295295295296296295296295295295294294294294294294294295295294294293295294294293292292293292292293293292291292292291292292292292291291291292292292292292292292292292292293291290290289288288288288288288288289288289289290290290289289288288288288289289288288289288289289290290290290290289289290289289290290289290290289289289289289289289288289289289288289289289289289289289288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306310308306305304307305305305305305305305305308309307308307306305306306305306306307307307306305304304302301999299297294293288282278286290289292295296298299299299298298298297296296296294295295294294293294294294292292291292291292293292291292292289290289289289288288288288286286287287288287286287287288288288289288288288289291289289289290288289291288287289289289289289289289290292290289289290290289289288287287288288286287286286286287287288290290294293294292291291291292292291292293295293295295295297298298299298297297299299298295296295295295296295297295295298296297297296298297297299298299299296297298298298299298298300301302304304303305304302302301302303305305303304304305303302304303304303303303304304305304304304303304304304303303302303302304302303303302304304304304305304303304303304303304304302302304303303302302302302304304302302302302301302303303302303304305304303303304305304303303303303302302302303303304304304303303302304304305304305305306306305305304304303304303303303303304303303303303301301301301300301300301302304304305304303302303303303302302302301303303303303301301301300299301302300302301301300301300300300300300300300300297299299297299298298296296297298298300300299300299299299298298297297297297297298298297298298299299298298297298297295295297296296297297296297297298298298295294294295296297297297298298298298297298298297297297294295296296297297296295295297297298297297298297297297297296296295295295293295296295295295295296296297297297298297297297299298298299298298296298297298297299299298298299298299298298298297298298295293296296294294294292296297293292295294297296295297297297296297299298299298298299297298297297296295295294293293295295293294293294294294294295296295295295295296295295295294295295295295295295295295294296296295294295294294293293294295296296296296296297297297296296296297297296297297296297297296296295294294295295295294294296295295294294293293293295294293293293293294294294293292292292291293292291291292292292292292292292293291292291292292292292292292292290293293291290290289289288289288288289288288289289289289291290290289289289289288288289289288288290290289290290291291291290290289290290290290290290290290290289289290289289289288289289288289289289288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305302303303306307306306304304303304304305306306308308308307306306305307306306307306307307307305305303303303302301301298295293288281279285289289291295297298298299299298298298297296296296294295294294295294296294294293293292292292293292293291293293291289289289288289289289289289289288285286287287287286286287288288287287288290289289290288288288287290288289288288288288289288290289291289291291290290289289289287289288287287288287288287288287288291290292292293293294292291290293292293291295295297293295296301298301299300299300299300295296296297297295297295295295296295297297297297297300299298298299299298299299299298300301301303302303304304304305303301300301302301306304302303304304303304304304304304304304305305305305304305305303303302303303302303303304303303303302302303303304305304304302303303302304303303304303303302302302302303301301301303301302302302303303304304304304304304304302304304304303303303303302302303303302302301302301304305304304306305305306305305306304304304304304303304304304304303303302302301300300300300302301301303304303302302303303303303302303302301302301301302302302299299299299300300300301299298299298300300300299301300299299298300298298297297298298299299299299298300300299299297298298296296297296298298298298298298298298298296296298296296296297297296297297297298298298298295295295295297297297296297298298297297296297297298297294295297297298295295296296297297297297298298297297297296297296296296294295296296295295294295296295296297298299297297298297296299298296297297297298300299298297298296299298299297297297297296296296297296296295294294295295296295296296296297298294298297298297298296296294295295296295296297295296294295294293294295295294294292294297293294295294295295294294295294295295295295295295295295295295295295296296295295294294293294293293295295296295295296296296296296296296297296296297296297296297296296296295294294293295295295295295295294294293293293293293294293294294294294294293293293293292293293292292292292292292292293293293293292292292292293293293292292292292291290289289289289288288288289289289288289289289289290291290289289289288288288289288288288289289289290289290290290290289289290289289290290290290290290289289289289289289289289289289289289289289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304301306310310308307308306306306304303304303305307307307308308304306306306307306307307306307306306304303302301303302301300297294295999280283284287290294297297298298298298299298297297297296295296294293295294295295294293293293292291293293293292292292292291290289289290290289290290291291288287287288287288288288289288288289288289289288290291290289288287290289289289288287288288286288288289292291292291289289290290290289289289288288288288288288288288291292293293293294293292290293293293291291293292293293291294299299298299298298298297298298295297297295295295293294295295294294296296299299298299299297300298299300298298298302300301304302303302304305305305303300300300302302303302302303304304304304305305305305305305304303305305305305305305304304304304304302302303303302302302303304304304304303303304303303303303303303303303302303301303302303303302302301301301303303303304303305305304304305301304304304303303303302302302302302302301301302302304305304305305306306306305305306305305305305304304305305304304303303302303302302301301301302302303303304303303303303303302302303303301301301301301302299301300300300300302301302301300299300300301301301300301300300299299299299298298297297298299298298299300299298299298299298298297298297298297298298299298299299298298297298297297296296297296296297296297298298297298298298297297297297297296297297297296296297297296296297297297298297297297297296296297298297298298298297297297296296295295296295294295294294293293293295294295296297299299298297297297298297298296295296297298296295296297297298298297295298297297297296297297297295296296296296296296296296296297297297297298298298298297298298297294295295294294295296294294293293292292290290291293293294294293293294293293295295294294295295294294295295295295295295295295295295295295294294294294294293294294294296296296296295297295297296295297296297297296296296297296297296295295294295295296296294296295295294293294294294293294293293294294294294294294293293292293292292292292292292293292291292292292291291290292292292291291292291290290289288288287287288288288289288289288289289290290289290289289289289289289290290289289289289289290290290290289289290290289289289290290290290290290290290290290289289289289289289289289289288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297302305308311309308307310305303305304303304305306306307309305308308306307309308305307306306303306303302999999999299999999999999999999999999999284289295296297298299299297298298299298297297297295296294294294294295295295295294293293290293293292293292291291290290289290290292291291290291292290288288287287289288288288287288289288288288290291290291289287289290289289289287288288288289289289288292291291290289288289290290291290289289289289288288289289289291292295295295295295293291293293290291293292291292293296299296297299298298298297297297298297296295294294296294293294294293294294295297297298298297300299297297300297299298300301302301304301303302302302305304303301299299301303304305303303303304305305306305305306304305304305304305304304305305303305304303303302303303303302302302303303303303303303305302303302303302303303302303303303302302302301301302301301303303303304302304304304305305305304304305303303303302302302302302303302301302303303303303305305305305305305305306305306305305305305304304303304303303303303303302302301300300301302303303303303303304302303301303303302303301301302302302299298298297301302301300300301300300300300300301302301301300300299299298299298298298298298298299298299299298298298299298298298297298296296298297298298298299298297298297296296296296296297296296297297297298298298298298298297297297297297296297297296296295296296296297295297297297296297296296296296298298298297298298297296296296295296296295295296295294294294293294294294295298297298298298297297298296297297297297298299298295296295296296298296295295297296296297297296296297296297296297297295296295296296295293296297297296298297297294296296297296294295296297296295296293292294294292290291291293294296294295294294294295294295295295295295295296295294295295296295296294295295295295295294294293293294295295294295296295297297297297296295296296297297296296297296295297295295296295295295295295295295295295294294294294293294293293294293293294294293294293293293292292292291291291291292292291291292291291290290291291290290290290289289289289289288288287288288289290289289289289290291290290291289290290290289290289290289290289290290289290289288289289289289289290290289291291291291290291290290290289289289289289289288289288288288289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299302302305306308307309304309306307306303304304305304307307308310311307308307308307307308308305999999306999999999999999999999999999999999999999999999291295296298299299300299299299299298298298297296296295295295295294296295296294295294292292291292293292291290289290290290290292291291292289293290289288288289290289291290286287289289289287288288290290289288289290289290289288288287286288288290290292291290291288289290290291291290289289289290290290289290290290293293295295295293293292293292291291294294291290292298299298297298298296296297297295297297297295295294295293293294294293294294296297298298299298299299298300299298300301299299302302301302303302301302303303303300299299300302305304303303303304305305305305305306306305306305304304305305305305304304305305304304303302302303302303303303303303303304304303303302303303303303303304303303302302302301302301302301302302303302302303304303304306306304304304303304303302303302302302302302301302302302303303304305305304304304304305305306305304304304304304304303303303303304303303302302301302299303303303302302303303302302303303302302302302302299299302301301301301300301301300301300298299299300300301301301301301300299299298298298297298298297297298298298298298297299298298299297297297296296297297296297297297297297298297296296296296296296296296296296297298299298298298298299299298298297296296296296295295295295296295296296295296296297295296297297297296297297298297297297296296297296296296296295296295294294293293294297296297297298298299298298297297297297297294298298297296295297297296296296297296295296297297297297297297298296297297296296296296296297297296296296296297297297297297298295296296295297298298297295294294292294295294293293291293296296293294295295295294295296295296296296296296295295295295296295295295295296295295294293293293293293294294295295294295296297297296296295294295296296296295296295294296295296296295295295294295295294294295294294294293293293293294295294294293293293293294293292292292291291292291292292291291290292291290291290290291290289289288288288289288289288288288289289290289289289289290290290290289290290290290290291289290289289288288289289289289289289288288289289290289290291290290290290290290290290289289289289288288288289288288288288289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299303303302304306305305306307308303306304305304305305305308306308310306307309308309308306307307306999999999999999999999999999999999999999999999999999999293296297298299299299298299298299298298297296297296297296296297296296295296295294292291290291292292293292290290290289291291289290291291289292292289289289289290291290288287289289290290288287289290291291289288290290290288290287287289287289288289294291290290289290291291291291289289289290290291291291291290291290292294294293295293294292291291292293295294294296295297297296296298297298297297296296299295292292294292291294295294293294295295297296297298299299298299300299299299300300300301303302301302302302301302302301300299300299299299302304304305306305306306305306307307306306305305305306306306305305305305304304304304303302303302304303304304303303304305305305304304304304304304304303304303302301302302302302300302302303302304304304304305306306305304305304304304304304304303302303302302303302301303304304306306305304305305305306305305305305304304304303302303303303303304303303302302303302302302302301303303303304303303303302302302302302301299303300302302301301301301300300301300300301300301300301301302301301300299299299297297297298297298298298297297298298299298298298298298297298297296297297298297297297298297297297296296296297297296296297297298298299298299299298299299299298298298297297296296296296296296296296297296296296297296299297297297296296298297297298297296297297296296296296296296296295295295295297298297297297298298298298298298297298297298297298299297297295295299299299298299298298298298297297295294295297297297296296296296296296296297297296296296297297296297298298296296295296295295294294295294292292294293295293293290294295295293294295296295295296295295294295297295295295295295295295295296295295294294294293293293293293293294294295296295295296298297296296296295294296295295296294294295295296296295296295295295294295294294294294294294293293293294293294294293294293293293295293292292292290291291291291290290290290290290290290290289289289289289289289288288288289287288288289289290289289289289289289290290289289290290290290290289290289289289288288289289289289289289289289289290290290290291291291291290290290289289289290289289289289289288288289288289288288288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301302298301303305305306304305304304305305304305305304305305305306308305304306308308305307307308999999999999999999999999999999999999999999999999999999295296297298299299299300298298299298298298297297297297297296296296295295295295293293292291292292292292293291291291290291292290291291291289289292290290290290290291288288290289290290289290290291292291291289288290290289290287288288288289288288289290290289288291289291291291291290290290291291291292292292290289289289292292291293294293293291297294293296295295294295295297297297293293298298297296295295294294294293291292292292293294294295296297297298298297301301300301301300300300299300299301301302303302302301302301301301300300299299299301304305304305306305306305307307306306306306306306305307307306305306304306304304304304303303303303304303304304303304304305305303304304304304304304304303303303301301302300302301301302302304303305305304304304305304304305305304304305304303303302300302302302302303304305305306306306304305306305305305306307306305305305304303303304304304304304304303302302303303303304304305304304304303302303302303302303302301299302299302302301301301301301301302301301301302302301301301302301301300300299298297297297298297297298298298298299299299299299299298298297294297296297297298297297298298297296297296296296296297296297297297298299298299299300299299299299299299298298298297297296296297296296296296298297297298298298298297297297296298297297297297296296297296296296296296297296297296296297298297298297298297299298299298298298297298297295297297298297295295298299299298298298298297297292294295294297297297296296296296296296296296296296296296296296297297297297298296295294295295296298295296296294291294293293294293293294294295294293290293293296295295295294294295296295296294295295295295294294295294293293293293293292293294295295295295295296295296296296296296296294295296296295295295295295295296295296295296295295294294294295294294293293292294294295296294293294294293292293293293292292290291291291290290290290290290290290289289289289289289288289288288288288290289288288288288289289289289289289289290290290290289290290290290289289290289289288289289289289289289289290290290291291291290291292291292291291290291291290290290289290289289289288289289289289289288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299299301303306305306303303307307303305306306304304304305304305304305305307307309307308307307999999999999999999999999999999999999999999999999999999999297297297297298299298300301298298299299298299297298298298297296297296295294295294293292293292292293292293293291292292291289291290290292288288290291291290290290290288288288288290290289288290291292292291292289290291291290289287288287288288289290290290289289288288290291293292291290291290291291291292292291291289289289291291291292294288294293293295294295296296295294296296295299298298295296295296295294295294293293293293293292293294296296294296297298297298300300301300300302299301299300300302300302302302302302302301301302302302299301301303304304305306305305305307307307308307305305305306306306306305306305304303303304304303303301302303303304303304303304304304304304304303304304303303304303303303302302301301301300301303302303303303303303302304305304304303304304303303302302302301301301302302301303305304304306306305304303306307306306306306306306305304305303304304304303304304303303303303303304304303304304304304305303303303303302303303301300300301302302301301301301301300301301301300300300301301300301302301300299299299298297297297297298298298298298298299298299299299298297299298297297297297296296296298296298296295295296295296295296296297297297297298299299298299299299299298299298298299299298298298297297297297296297298297296298298298298298298298297298298297297297297296296297297297297296297297297297296297298297298298297298299299299299298298299298295298296298298297296298299299298298298298298294296293296296295297298297297297297297297296296296296296296296296296297296296297297297297296292294297297297297296295292293292293293292294293293293297293293296296293293292295294295294294295295294294295294294294294294293293293293292293292292294294295295295295296295296297296296295296294296295295295294294295294295295295294296296296296294294295295294294294294293293294295294294294294293293293293293293293292291291291291290290290291290289289289290289289289290289289289288289288288288289288289288289289290290290290289290290291290291291291291291290290289290290290289289289288288288288289289290289292291293293292291290290290290290290290290290289289290289289288288288288289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299299303303306303306308307301304302302306303302301302303303305307308309303304304307309999999999999999999999999999999999999999999999999999999999295297298298299299300298298299298299299299299301299298299298297298297296296295295295294293293292292293293292293291289290290290289290291291288291292289289289291290292289291288289288289291290290290291291287290288289291291290289288287288288291290290290289289288288289290292293293292292291290290291292292292292290290289289288289291296294288291292294294295294296294295295295293295297299298295296293293294294295293296294294291293293292293293296296296296298298298298296296295301301301300300300300299301300302304303302301302303302303304301302302302304304304305305304305307305307307305305306306306306307306306306305305304303304303303303303303303303302303304304305304304304305305304304303304303303303305302302302301302302301302303301302302302302302304304303304304304303304304305304303302302301301302301303303303303305306306306305305305307306306305306306306304305304304304305303304304303303303304304304303303304303304304304304304303305305305304303303302301300301301301300301300300299301301301300300300301300300301301301301301300299298297297297297298298298299298298298297301298299297296297298297298297295296295296297297297296296295296295296296296296297296296297299299299299298299300299299299299299299299299298298298299299298298300299298298301299300299299300299299299299298298297297297297295295297297297297298297298298298298298297299298299299299300299299299298297297296297298297298300298298298297295298298294295296296296295297298298294298297297298298297297296296295296295296296297297297297297297297297297297296298297296296294293293293293293292294293292293296292293292295294293295293293294293293292294292294292294294294294293292292293292292292291293293294295295295295296297296296296295294296294296295295294294295295294295295296295296296294295295295296295295295294296296294294296295295295295295294294294293294294293293292292291292291291291291290290290290290289289289289290289288288289289289289289288288289289289289290290290290291290290290290290290289290290290289289289290288289288288288288288289289290291290291291290291290290290290290289289289289289289289289288288288288288288288288287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299298299302300306307308301300303302303303303302300300302302299302302306304296302304999999999999999999999999999999999999999999999999999999999999295296297296298299298298298298299299298299301301300300298297297297297297296296296296295295294296296294293293293292291291290288293292291292287289292293291290289289290289287291288289291290291291291291291288288289288290291291292291291286289288291291289291289290289289290288293294293292291291291290290292292292292290289289287999292290293295290293292293293294293295295295295295295296296299294294295293292292292294297297295295295294294293294292295297298297297299297296297300297301302301300299301300300302300302303303301300301302302303303302303303303303305304304304304306306306306305305305306307306306306306307306305304303304304303302302302302303303303304304304304304305305305304303304305304303302302304301305302301300300301302302302302302300301303303302303306304303305305304304306304303302302303301301302302302303304306306306306305306306306305305306306305305304305304305305305304304304303304305304304303304303304305305305304304304305304304303301302302301301301300300301301301301300301301302301301302302300300302301301302301300300299298298299298296299298298299299298298300298299298297297296297296296296295295296296296296296295295295295296296296296296296296298298298299300300299299299299298298298298299298298298298299300299299301300299298301300300300301301300300299299299299298298298298297294296297298299299299299299299298297299299300299299300300299299298298297298296297298297297297299297299299298298298297296295295297297298298298298298298295296297297297296297296296294296296296294294297298298297299299298298299298298296293294292295292293293292293293292293294295294293293294293295295294293292293294295293293293295295292293293293292292292293293294295295295296296296297297297296296296296295296296297296296296297297296295296295296296296295296295295295295295295295295295295295296295295295295294294294294293294294293292292291291291290290290290290289289290290289289289288289288288288288288289289288287288289289289289290290290290290289290290289289290290290289289289289289289289289288289289289288290291291291290289291291290290290290289289290289289289289289289289288288288288288287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299301304302303305303303303302303303306301300300299298298298298296303302296297999999999999999999999999999999999999999999999999999999999999293294296298298306300299299298299299299298299300298299299298296296294297296295295295296296296296295294293294293294293291292290295291291291292289290290292292295290291291289286290291286290288289291292292287287289289288292291291292292292289291290292292292292291290290289291294291294295294292293294292292294294293293291290290290290290292292295294294292294294291292296295297296295296296296297296296300292296292295294296293296297297293294292294293293297297297296298298300296300298296296300301299300299302304301302303302300301301300304303302303303303303303304303304305305305307307307305306306306306307306306305306306305305304305304304303302302303304303304304303304305305305305304305304305304305304303302303303303303301301301301301304303301301301300302303305304305304303304304304302306304303302302303301301301303303305305306305305306306306304304305305305304304304304304304304304305305305304304304304305304305305303303305305305305305305305303304303303301301300300300301301300301301301302303302301301302302302302301302301301302301301300300299298299299298298298299299299298297299299299298298299297297297296295296294296296296295296295294295295296296296296297296296298299299299299300300300300299299298298299299299298298298299299299300300302300299301301301301301302301300300301300299298299299299298296298298295299300300300299300298298300300299300300300299299299298298297298297297298298297296298299299299298298298298298297297297297298296298298297297298298296293297292295296296296296296296297297298298298295295295299298295295295295294295293293293293292294294293293294294295294295295293293294295296295295296295296295294295295295293294293294293294294293294293294293294295295296296296296297296295295294296297296296296296296296295296295295295295295295295294295294294294294295294294294295295295295295294294294294293293293293292292292292291290289290289290289289289290289288289288288288288288288288288288288287287288288288289289289289289290289290289289289290288289289289289289289289289289289289288289289290290290290291290290290290290290289290289289290289289289289289289289289288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300301299300303302306303304303304304303303304304303303300300299298299297303302299302299999999999999999999999999999999999999999999999999999999999297296298298298304305304299298298298298298299300299299298298296296294295295295295295295296297296293294294293292292293292291291290292292289289289289290290289291290289289288287287288287286290289288286287289291290290288290290291291291288288288293291291290291289289290290291293293292292293292292292292293294293292292291289290289290291291291293295295293296297297294296295296297297297296295298296299295296297294299295296293295296297295294293294294295296297299299299300299296303299300301301302301301300301302303301302301301303303302303300302302304305304304304305304305306306306305307306306307307305305304306306306306306305305305304304304303303304303302304303304304305304305305305306304304304304304303304305304303303302302301302303304304302303302302302303304305305303304304304305304305304304304302303304303304302304304305305306306306305306305306305305305303303303303302304304304304306304304303304304305304304305303304304306304305306305305304303303303302302301301301301301301301301302301302303302303302302303302302302301302302302301302301299299299299299299299299299300299299299299298299300298298298297296296295296295296296296296295295295295296296297297297297297299299299299299300300299300299299299298299300299299298299299299300301301302301300301301300300301303302301301301300300299298302298297298300298297297298301301299300301300301301300301299301300300300299299298298298299298298298299299299300297296299299299299298297297297298296296298299297299299298298299297298298298300297298299298299299299299296298299297297296298297296295293293293295294294293295294293294294293292296296295295291293293294294292294294294294292292291290291291290291292293291293293292293294294294295296296295296295295295295296297295295295296296294295295295295295294295295295294295294294294294295294295294294294294295295295294294294294294293293293293292292291291290290289290290290289289289287288287288288288287287288288288288288289287288289290290290290290289290290289290289290289289290289289289289288289289290290288289290290290291290289289289290290289289290290289289289289289290289289289289289288288288287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298297296295300301302303301302303304303306305305305303302302300301299299298298297297301999999999999999999999999999999999999999999999999999999999291298298299300300298306304303300298298299298297298298298298297297295295295296296295295295296297295294293295294293293294293293291293292291291290289290289293294288288288291290291284286287287290290288287290290289290290288292290288289291293291289289287288290290288287287288289292291294295291292290293291291293291291292290288288288291293290290290292294295295295295294298298296297297297297296296296293295295295295298297297295294295296294294296298296298302301301306300303301300302300297300303302303300300298302301299302302302303304301303302304305305305307303305304306307306306307307307307307307306306306304307307308307307305306305305305305305305304303303305304305306305305306306305305306305305305304305304304305304304304303301303306305304304304304304303304304305305304305305306306305305305304303303304304304305303304305307306306306307307306306306308305305305304304305304305304305304307304304304305305305305305305305307306305305305306306305305305304303304303302302302302302302303302301301301302302303304304304303303303302302302303302302302301300300299300299299300300300300301302301301301300300298298298297297296297297296297296296296295297296296297298298298298299300301300301301300300300300300300299299299300299299299300300300300301301302302302302302301300302302301302301301301301301298300298298297298298299300300301302302302302300301302302301302302300300300300299299299298299298299298299298299298297298298299299299299297298297298299299299299299299299299299299299299298298297298298299299298299298298297295297296298294298297298297294294292293293293290295292297297293294295294294294294294294293294289294292294293294293293291290290289290290291295290291292293293294294293295295295295295295295296295296296295294295296296295296296295295296296296295295295295295295295295294294294294294294294295295295294294294294293293294293293293292292292292290289290289290290288289288288288287288288288288288288288288288288287289288289290290290289290289290290290290290290289291290290289290289289290291291291290291290291292289288290289290290289289290288290289289289289289289289289289289289288287287288287287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298297297296297302304305302303304302304308304304305306301301300299300298296295294295298298999999999999999999999999999999999999999999999999999999291298296299299299300301306299303300299300300298300299298298298297295294295296295295295295296296296295294295295294295294293293291290292292293290290290291291294290291290291287288287286290290287292293288286289289290290288289291290292290292290288288287286286287289288288288289290292291291292292291291292292293291292291289290289289291292291292290999293295294295295295294297297296297297298296294296293296296296294297295294294295295294296295297296298299302298298298299299297301296298299300302304301300300297298297298300300302302302300302302303304305305303303303303304306305305306306306306306306306305304304305305306306305306307306306306305306305306304305305306306307306307306306307306306307305305305305303307302305303303303301305305306304305304304304304304305305305305304305305306305305305305304302302304303304303303304307306307307307307308308308308307307306306306305305305305305305305305305305305305306306306306306306306307306304307308306306306305304304303303303302302303303305305302302302301302303304305304304303303303303303301302302300301300301300300300300301301301301301302301301301301299299298298297297297297297297297297296297295296296296297297297298299299300301301300300301301301300300299299299298299298298298300300301301301300301302301302301303301302302302302302301300301300300300299297299298299299300300300301301301301301301301301301301301300300300299299299299299299298299298298299299298299299297299299299299298298298297298297296299299299297299299297296299299299298298298299295299298298299298295294298299299297298297297295297293294296296294295295294296293294294294293294293293292293292291296294293292293292293292292293292293289291292290291291292294294295295295292293295295295295295295295295295294296296295295296296295295296296296295295295295295295294295294294294294294295294295295294294295294294294293293294293294293293292292291291290289289289289288288288289289288289289288288289289289288289289289290290289290290290290290290289290290290290290289290289289289289290290290291290290290290290290290289290289290290289289289288289289289290290289289289288288289288288287287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298296297301304299302302304304305306302305304303301301300299301299298297296294295297999999999999999999999999999999999999999999999999999999292294297298298298299301306306303301299299299301300299298297297296296297296297295294295295295296296296295295296295295294293293293292291290292291291292291291292290289288291285292291291290290291291288289287287287289289290291290291292289289289289286285287287289288286288288291289290292291293292292290291291292291292290290290291290290292291290291294293294294293294293294294294296296297297297295296296296295296296296295296294294294294295299298293296296299293298298298293298299300300296299299302300300299298297298298300302299298301301300302304304303303302303304303304304305305304305306305305304305304304304304305304305305305305306306306305305305304305304303305306306306307307308307309304307305304306304303304302303303304304304306306305305305304303303304303305304305306304303305304306305305302302301302301302302304305305307307308307310310309306307307308307307305306306305305305306305305305304304304306306305306306305306306307306306307305305305306305303302303302302302302302302303303302302302302302303303303304304304302302302302302301301300298300301300300301300299300301301301302302301301300300299298298297297297297297297297298296297296296295296295297297298299299300300301300301301300300301300300298299300298299296298299300300300300300300301302303302302301302302302300301301300298299301300299297298298299300300300300300301300299301300300301300301300300300299299299300299300299299299299299299299299297301301299299299298298298298298299299299299297297296297296298298300299299299299299299298299298298299298298298298299294297298298297297298293293296294295297298293298296296294292293293292291292292294291293295293293292292293291291292293293288290291290292294293294294294294295295294295295295295295296295295295296295296295296295295296296296297296296296295295295295295295295295295294294294295295295295295295295294294294293293293293293292292292292291290290290289289288289289288288288289289289288288288289289287287289289289289290290289291290289289290289290290289290289289290289290291291290291291291290290290290290290289289289289289289289289289289289289289288289289289288288288287288287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299302302300300301301303301300305302305303308309303303299301301299299299299298296293294297999999999999999999999999999999999999999999999999999286292296297299298300301301306305303298299299298300298299298298298297297297296296295295295295296297297296296296295295295295294292292292295292294292291291292291290289289286287285291291291292292292288289289289288288289289290291291290289290288288288287288288289290288287289290290289291294293292294291291291291292290291291290290291291292291291291292294293292293293293294292292296296295295296297297297296296295294293292295294294295299296295296296297297296297298301302300298297299299301298298296299297297297298296298298299301299299300302300302304304303302302303303303303304305306304305305304304303304305303304304304303304304305305307306305306306306308308306305306307305306306308306307306307306304306304309302304304303305302306305307305306306305306304306303305306307304303303304302303305307303301301301301302302303305304305305306307305308312309309306308308308308307307306305304305305303305304304304304304304306307307306307306306307307306305305305305305304303303303303302303302302302303302302303303302302302302302302302303303302302302301301299299299301301301300303301299301303303303303303302300298299298298298298297297298297297296296296296295295295297296297299299300300300300301300300300299300299301298299299299299300300299299300300301300302301302302302302301302301301301301300298298300298298299297297299298298299299300301301300299299300300301301300301300300301300300301299299298298298299300299299300299300298300299299299298298298299300299297300300298297295297297299300300299296295295299299299299298298298298298298297299298298298298297297295295295295293293296296296297296295294294293293293291292291292293294295294294293292292291292291293292292288289291291294295293294294295293294296296295295295295295296296297295296295296296297296297295296297296296296295295296295296295295295294294295295295295295295294294295294293293293292293293293293293293291292292291292290289289289288288289288289289289288289289289288288287289290289289289290288289289289290290290290289290290290290290290291290291291291290290290290290290289289289289289289289289289290290290289290289289289289289288288287287288287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303302299302302299301304302303300300300300300300298299300298298297299299298295296297999999999999999999999999999999999999999999999288291292293303303304298300300300300305301299299299299300299298298298297298297297296294296296295297296297298298295296296295295294292292294296294294294292292290290290289287286292286287287292291290292292289289290289289290290289290290290290289288289288289290289289290289288288290289288289292293292292294291292292291291292291291289289289291292291292293292293292291294294294294292294294295296295296297297297297296294295294294296295296296296296295295296295295297296297300301297293299297297296299298297297297296294297297299301301299298301300301302300303305304301299302302303304306304305305305304305303304303304304304304304303304304305305307305307308308307307305306305306306306305306307306305304305305303306303308306303306305305303306306304305304305305305305307306307305305303304303303304304303304304302301300300302302304302303304305307306307307307307311307308307308308307307306306306305305305306304304305305304306306306306305307306306305308304306305305307305304304303302302302302303302303302302302303302303302303301301300300300301302302302301298296301300300301301301302302300303302303303303303301300299298298298298297298297297298297298298298298295296296297298298298299300300299300299299300300299300301300300299300300299299300300300300301301299301301301301302301302302300300300299300299299299300299299298298300299299299300299300300301300299300300301301300300301301301301301299299300299299299299299300300300300300299300301300298299299299299299299298298298299299299300298299300300295297297294296298299299298298298298298299298299298298298298297297297294296295296295295296295296297297294295294295292293290290292293294292292293292292293294292292294289293292289291293295295293292294294293295295296295294295296296297296296296296296295296297296296296296296297295295295295296295296295296295294294294295295295294295294294294294293293293293293293293294294294292292292291290291290289289289288288289289289289288289289289289289288288289290290290290289290290290290290290290289290290291291291292292291291291290291290290290290289290289289289289289289289289289289289289290289289288289288288288287287287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303300302298294301298299299300300301301300298299298299298298299299299299296293295999999999999999999999999999999999999999999292291294296296306297296301301300299305302300298299299300301298297299299298299298298298298297297297296297299297295296296296296295295294293295295295295293293292292290290288287288286288288287289289292291290289290290289290290291291290290290290289289291287290288288289288287288290289288288290292293291292292291292292291292291999999999999290291292293292293293293293292292294293294293291293292295295295297298297295295295295296294295295296295297295295295296295296299297296299299299296296297298297297296297299296298297296298298296299300299301301306302302301303303303299301302303303305305305305305304304304303304305305304303303304305306306306306306308307306306307306306306305305306305304306306305305306304306309308304305307305305305305305306304306305306305305306307307307306306305303304304303305303303302303301301299302302300301303304305307306307307307308307310308307308308307307307307306306305305305305306306305305305306307306306305306306306305305306305305305306304302302302303302302301301301302303303304303302302302302302301300301301301301300299299296300301301301300301301301301302301303303304302301301298298297297298298298297297297297297298298297295296297297299299299300299299300300301300300299301301301301301300300300299300300299300301301301299301301301301302302301301300301300300299300299300300300299299298299298298299299299301301301299300300301300302301300301302301301301300300300300300300300300300300300299299299302301301300300300299300300300300300300297299298298298299300297301297297296295297299299298299298298299298299299298298298297296297297298296297293294296298295295295297296295295295294291290289291291292294293293292292292292293293292288293292293293293295295293292293294295294296295295295295296296296294295296296295296296296296296296296296296295295295294295295295296295294294295294294294294294295294294294294294294293292293293294294294293293293294293292291289290290289290289289289289289289290290289289289289289289289290290290290289290289290291290290291291291291291291292291291291291290291290290289290289289289289289289289289289289288289289289289289290289289289288287288287287288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302302298300299301301300299299300300300298298298296297299299300300299298296294293295999999999999999999999999999999999999290292293294300306307304297298301302300304300300300299300301300298299298299298299299299298298297298297298298296297296296296297296295295294294295296295294293292292292291291290289289287288289288288289292291290290291290291291291290291290290290291289291290288290289290290288288287289288287290292292290290291292291292292294999999999999999999999999291293297288294292293999293295294295292291291292298295295292296295295296295294295295295296296295298296296298296296297296296297298297297300297296299297295298299298296298294298298297298301301300301302303303302301303302303302302301301304303305304303304305303303302304302303303304305305304307305307307306307307307307307307306307306306306306306305305308305305306304306308307306309306305302303304305306305306306306305306307308307306307306303303305305306305304305304304301301301301300300302303305307306307307306306308308311307308308308307307308307306304303304303305304305306307307307306306306306305306307308304305304305305304301303302303302302302301301303302303303305304303304302301302301302301301301302301301300299302303300301301301300301302302302303302301301301298297298297298298297297296298297298297296299297298299299299299300301300301302301301301300300302301301303300299300300300298300300300300300300299302301301301301301301300301301300299299298299299300299300298298298298299299299300300299299300300301301301301301301302302302301301300301300301302301301301301300300299299301301302300300300300299299300300300300300300298299298299298298297297300295297297295298299299298298298298298298298298297297296296297297298298298298298298298297294297297297294293293296293291290292294290291292293293293294293292291293294294294293294293292292294294292297294296296296294294294295296296295295294296295295296296296296297296296296295295295294294295295296296294296295294295294294295295294294295294294295294293293293294294294294294293294293292292290290290289290289289289289289289287289289289289289289290290290290289290291291291289291291291291292292291292291292291290291291291290290290290289289290290289289289289289289289288288289289289289289289289289288288288287287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305301304300293305300298299299299299300298299299298298298300301300299299299296296295294293290999999999999999999297292295292294296296306307306297298299301301302301301298302300299299298297298298296298300300298298296296297296295297296298297297296295295295297296293295295294294293292293292291289290289290291289290290290289289289290290290291291292291291291291291291290290290289289291290290290290288288286288288288290289289292293292290291292292999999999999999999999999999999292292292293293999999295295294292292290293297295295295294295298296295294296293295297299297299295296295295294296295296299298297296298300292294296297296297298298298297299299299298296301300300302303303304302301307303303301302302304303303304303304305304303302303304303306304306305306308306306306307307307307307307307308306305306306306305305306307306306306305306307309306306306304304304306304305306306307307307306308307307306307306307306307307306305303306304302301300301300300300301303303306309309307306308309307309310308310308308307307307307306304303304303304305306305306306306306306306306306306307306306307305303304304306305304304303303303304304304302303303302303303302301303303302301299299300302300297298300299302302301301301302301301301302301299300300301300299299298299298299296299299299296296300298298299300300300300301300301301300301300300301301301300300300300301300300299299300299298299300299300301301301301301300301301300301299299297299300299299298298298299299299300300300299300301299299300302302301301301301301301301301301301300301301302302301301300301301301300301301299301301301300300300300300300300298298300301301297298298297298294294296300298297297298298298298298299299298297297297296297297298297297297298298298295297297296295295295291294295295294293292291291296293293293292295295295294294294295292293296292293295296295294295296296296296294295296295293294295295297295296296296297296296296295295294294294295294294295295296295295295295294294294294295295295295294294295294292293293293293294294294293294294293294292289290290290290289289289289289288290289289289290290289290290290290290290291291290290292292291292293291292292292291291291291290291290289290290289291290289289289290290289289289289289289289289289289289289289288288288287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306303299298299299298299299298301300298299298299299300297300300298299299297297299292293294295294295295999999292294297294296298297305302305300299299301300301300300300299299299298298298297297298298299298296297295295297295295295295295297296295295295294295295294295296294294293292292292292290289290289291288290290290291289291290291290291291292292293291292291290290291290291291291288291291290290290289288288290289290292294294292291291290293999999999999999999999999999999999999999999999999999295296296294293293298298295295296295296295296296295296294297298298297300296296294296296296295296296297295296296299297296297297294298298298296297297300299299299298296296300298304300300302303301301302301303303302303304305304305304305303302304305306305306305306306306305306306306306307307306308307307306305305305305305306306304305305307307306307306306304304303304304306306307307305306307307307308307307307306307307307307304305306306302303304302299300300301302303303304306308306309309308309309309310311310309309309306307305305304304304304305305306306307306308307307305307306307306307306304301304306302305302305304303304304303303302301303303302302302301301301302302300300299299302299301300300301299300302303300299302301303302301300299300301301300299300299298298297299298299299300300299298300300301301301301301301299301300300300300301300301301301301300300300299299300300300300299302301301300300300300299300299301300300298299299299299299299299298299300300300300300299299300300300301302301301301301301302302301301300301302301302301302301299303302302301301298301301301301300300300300301299300299298298301302298298298297299301296298298299295297294298298298299299299298298298297297297297298293295297298295297297297296293294295292294293293292292294293293292295292291294292293293294294294293296295294292294292293295296294295295296295295296296296295296295294295296295295296296296296296295295295294295294294294294295295295294295295295295294294294294294294295294294293292293293292292293293293294293294294293292293292290290291290290290290290290289288289289289289290290291291290290291289291290291294293291292292292292291292291291291290290290290289289290289289289289289289288289289288289289289289289289289289289289289288288288288287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295301300299298297298299300299298298299301299301301301300299299299298296299300299298296296297297297290294296299298299297297305305299304298299299303301302300299298299298298298299297298299299298297296295295294295295294295297296294294296295295293296295295296295294294294292291292292291289289288290289289291290289291291290290290291291290294291292292291291291291290291290291291291290290292289287288289289290292292293293293292290293999999999999999999999999999999999999999999999999999293295296296293293297296296295295295295296296296296295295297297297297299299296295296296296297297295296295294295294298298296296295294297298297297298296298299301300300300299300297302301303304302302307303302301302304303304303303306307305305305304305305305306305305306307305305307307306307307307306306306307307306306305306305303305305305307308307306306306306305304306307307306307307308307308308307307306306306306306307304306304304306306305301301300301301301301302301301303304305306310311307306308309309311312311310310307308306306305303304304306305306306307306307307307307307307307308308306304303305306305306304304305303304303302303301302303303302302301299299300300302300299300300297301303301301302301300302303302298300302302302302303299302301301301301300300297297298300299300300300301300300301301301302302301302302301301299301301301301301302301301302301300299299300300300301301300302301301300300299300300301300301301300299299299299299299300300300300300300301299301300301302302302302301302301301302301302302302301301301301302302302301301300301301300301301301301301301300300300300300300300298299300298297302301297297298299298296299296297295297298298296298298299299298298297297297297297296296296297295295298296298296296295295295295296295292294292293295297292293294293293294295292294296296293294295291296294294295295296297297297296293295297294293295296294295295294295295296296295295294294295294294293293293294294295295295295294294294293293294295294295294293294293293294292292292292293293294294294294292292292291291291290290290290290290290291289289289290289290290290291291292290290291292292293293294292292291292291291292291291291291290289290289290290290289289289288289289289289290289289289289289288289289289289288287287287287287287287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297299298296296297298298298297300301300300300297299298300299298295297298299300299296301300299299295303306298299298296297297299299298299300301301301301299301300299297298299298298298298298297296296295294295295293295296296294295294295296295296296295295295295294294293293292293291290289290291289288289289291291291290290291291291291292291291291291292291291290290290291291290291291292290289289289290292293293293293293293292293999999999999999999999999999999999999999999999999999296295294293292292295296296295294293294293295294296294293295298295293294294294297297292295297298294295294294293295294295295297296295296297296297297296298299301301301303301300302300300296301304301299298300302305302303303302303303304304304304303303304306306305305306306305305306307307307308307306306306307307307307304305305306305305307306307307306307306307305305306307307306307307309309309308307308305306306305308306306307306305306306307304303301302301303301301303302301302304305306305307307308309307313311310309312310306307305304304304304304305305305306306307308307308308307308308307305305306308305304306306305304304303304302303302302302302302302301301300304303302303300298300303298301300300300298300302300302303301301301301302303302302302301300301301297298300300300300299302301301301300301302301303303302301301301302299303302302302301302302302303302300301300301301300301300299301301301301299299299299299299300300298299299300300299299300300300300302302301301301301301301301302302301302302301301301302302302302301301302302302302301301301301301300302300301300301300300300300300300300300300301301299297301301297296298300298299297296295296297296298299298299298299298297298297297297297296296296296296298297297298297292294293292295295293293294292293295295293295294293294294293294293295293292292295296293293295295295296298298296296296297296296295295297294295296295296295295295296295295294294294293293293293294294295294294294295294294293294293295294294294293293292293293291291292293292292293293294293293292292290291292291290290291290290291292291289290291290291292292291293292291293294292293292292293291291291292291291291291291290290289289290290290289290289289289290289289288289290288289289289289289289290289289288288287288287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290289296302297298297297297301301301300301299297299299300299296294295296297298298299301302302302305307306300298298297297297297297299300300301301299300299300298297298299299297299300298296296296295295294293294294296294295293294295295295296296295295294294295295294293293292292290290290291290289290291291291291290292292290290291291291291291291292292291290291291292291291292292291290289290291290292294293291294294295296297999999999999999999999999999999999999999999999999999295295295293293294295296297295293294293293294295295295294290295294294298293292294295295295293296295294294294293294295295297297294293296296295296295295298299298301300300302300299303299300301298301301301298297300303302304303303303303303303303303303305306305305305305305305306306306307307307307306306306305306305304304306305307305304305306307308306306305306306306306306307307307310309309312309310310310309306305305306305306308308305306305306306305301302303304302302302300302305304305305306308306308307310309310311311307308306306303304305305305305305305305307307306307309308307308308307307307308308307306306305305304304303303301302302301301302302304302301301300301302302303302301300299302301299303299300303302302302301300301301302303303302301302301298300297298302300300301301302301301300301302302300301301301302302301304304300303304303302302303303302302302301301301301300300299301301301301300299299299298299300298298299298298300299299299301300301301302302301301302301301301302299302302302301301301301302303303302302302302302301301301300300302301301301301300300300301300299300300299300300300301302300299298296297299295296298299299296295297297295299298298297299298299298297297297297297296296296297296298296295297297293296294292295294294294295296293296295294295298297296295295294293295293293294295298293295297296294296298296296297297295296295294296294296297295294294295294294294294294295293293293293293294293293294294293292293294293293293293295294294293293292293293292292291292292293293293293293293293293293291291292292292291291291291291291292292291292292292292293293293293293293293293293293293292291291291292291291291291290290290290289290290290290290290290290289290289288289289288289289289288289288289289289288288287287287287288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297290288296298303301298297297295298300300300300299299299299299299298296294295294295294296299300301302305307305306299299298297297298298300300299299301301301299300300296299299299300299299297295296295294294294292291295294296294294295294295295295295295296295295295295294291293293291291290290290290290289290293293292290290290290292290291291291291291291291291291291291293291291289291293292289290291290293292291291294294296296999999999999999999999999999999999999999999999999999999295294293293294293295303298297300297295294297296295295295296296295298297293292293293294293293294297295292292294294294293294294294295299298297297297298300300301299300300300301300302300302301301300299302302302301302301302303303302303302303303303303304305306305306305306306306307307307307307306306305307307305305304304305305304305306303306307306307308308307307305306306307306308310307308312311309309309307306307306306306306306308307306306305304305304303302303303301303301302302304304304307306306306307306309309309309307308306305304304304303303305305306304306306306306307308307307307307309307308307307306306304305304304304302301301301301301302303302302301301300298300302304302301301299300303303298303302300298302303303300299301303303302301301302300300300300300301300301300301301301301301301301302302301301302302301302304302302303303303302302302303302302302302302301301301300300301301301300300299299298300299299299297297298299299300300300300300302301302302302302303302302302302301301302302302302301302302302303302302302302302302301301300301301300302301302300301300301300300301300300301300301299301299299300297297298301296298297296296296296298298297299296299299299299298297297297297296297296296296294295293294297297294294292291294291293291295294296294295295295295295297297295294293295294295295295295294294297295296299297295298298294295295295296298298296298294295294294295293294294294294294294293292293293293293293293294293293293293293293293294294293293293293293293292292291292292292292293292293294293293292292291293293293293293291291291291292292292292292293292293293293293293293293292294293293292290291290291290291291291290290290290291290290290289289290289290290289288289289289288289289288288288289288289289288287288287288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292295298300300299295298297295298299297300298301299299299298299299298297296297297297296298301301300301304305303297299298297297298298299300301300301301300300300298299299299300300297297296294294294294293293292292293295296296295294294297296294295295295295295295295295294293293291290290291291293290291292294291291290290290290291290291290290290290290290293293292293291290292291292292291291290289289292292290289292293295296999999999999999999999999999999999999999999999999999296296295293294295292299297302303296297295294298295295295294294295291297294295294291291294293294294295295296295292294296295294294293293295297296298297297299298298301299300300301302299299301302300299299302301300300299299302304303301302302302302303303303304306305306305306306307307308307307306307306306307306306306305305305305306304306305305307308306307307307307307308308305306307311307305313313308307307307309306306305306308308307306305306305304304304302301302301302303303302303304304307311306308309308310309310309309307306307307305304302305305305305306306306306306305308307307307307308309309309308307307307307307305304304304303302303302302302302302302303302301301299300302302302299297303303303302303299301299302302302302300301301302302302301301301299301301301300300300301301301301301302301301301301303302302302302303301304303303304304303303303303303303303303303303302301302301301301301300300299298298299300300298298298298298299300300301301301303302303301303302303302302302302302298302301302302302302302302302302302302302302301301301301301301301301302301300300300300300300300300300301300300299301298298299297295296300300297295297297297299299299298298298296299299299298298297297296296297296295295293296292293296295293293293293292293293291293295295296294294295294294297296295294296295294295295296295297296298298299298297297297295295294296297297297296296297296296295294294294294294294293294293293292292293293292293293294294292293292293292293294294294293292293293293293292293292292291292292292292293293293293292293292292292292292292292291292292292292292292292292293293292293293293293294292292292291292291291291291291291290291290290290290292291290290289289289289289289288289289289290289289288289289289289289289289288288287288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293296297299298299302300296298299301301299299299299299298299300299298298299299299298298300301300304306300307298297297297296297298298298302301301302302300299300297298298300298297295295295295293294293291291292293295294294295294294295296295295295295295294295295294294294293293291291292291291290291294294292292290291291290291291290290290290291291290292291292292292291291292292291292290290291290291288290289291291295296999999999999999999999999999999999999999999999999999293297295294295295295301297300299297295295293295294294295295296295293295295293292293289290294296292295296294296296294296296297298299298295297296297299298299298301302302302300302301302302302304299300301301300299302303301301303302301302302302302303303303305305306306306306306307307307307308308306306307307306305305306305303305305305305305305305306307307306306306306305306304305306306306308306306305306306308307307308307307308308309307306305306304304305302300303303303304302302304305304305310305308307310311308310307309306306306305304306301306308306306307307305305305305307307307307307307308309309308307307307307307305302304304301301301301301302301302303303302301302301299301301300300298300300303304302302301301301304299305301301301303302301302301301300302302301302301302301301302301302302301302304303301301303303303303304305303303303303303303302302302302303303303302301300300301301301301300300300299298299300300300299299298298299299300301300302303303302301301302302303302302303302302303301302302302302302302302303300300303302302302301301301301300302300300300301301300300300301301301300300300301300299300299299296300301301296297295297300301299299298298298299299299299298298298297296296296296296295296296296296292291293293294293293292292290292293294297298297294293294293294295296294293293294295295295295296297297297298298298297296297295297294298298296296298296295295295295295295293293293293293293293292291293292293292294293292289292292293292293294295292293293292293293292291292292292292292292292293292292293292293293290292292291292292292293292292292292293292292293293293292293292292292291291292292291291291291290290290290289289289290289290291290289289289290290289290289289290289289289289289289289289289289289289289288288289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294298298301297303304300300305303296297300298299299299299300300299299300298298299300300299300301301303303298296297297298299300299298301300301302301300300300300299299296297297297297295295294293293291292293293294294294295295295294295295295295295295296295296294294293293292291292292293291290292292290291292291290289288289289290291290290292291289291291292291292292292292291291290290291291290290291290290289291293294999999999999999999999999999999999999999999999999999999299299297296296300295297296297296298295294295293295296296294293296296295296293294291291293295293293290292291294295295297297296297296301294298295297297298298298302301302302305304299303305303301300302301301301303300302301301301301303302302303303303304305305305305306305305305307307307308307307306306307308306307307306306305305305304303305304305307307307307306305305303305308305306307307306306305304306307306306308308309307307308311309307305304305303303302301305302303303303307304304305308307307307310310307309308308307307306305306306304304305306305309306306308305306306306307307306307308309310307307307306308307306304305305300302301303302303303303303302303302302302299303300300299299298304302302303304301304301300302302302303301302301302302301301301302303302303303302302301301301302302302303304304302303303303303301302302301301303303303303303302302303303302301301300301301302302301301301300300299299299300300300298298298298299298299301299300300302302301302303302303302302300302303304302302302303302305302303303302303303303303302301301299300301299300301301301301301301300301301300300300300300300297300298299298298299300298298296298299301299299298299298296297297298296299299297297297296296295295296296296292296292295292293295294293293292292293294296297297296296295295295294295295294294294294295294295297297296297297295297298295295296295294294298298298298294293294294297295294293294295294293293294292291294293293292292293292290293293293292292294293293293293293292293292292291292291292292292292292292292293291292293292292292291291291291291291292292292292292292292293293291293291292291292290290291290290290291291290289291290290290289291289290290290289288289289289289289289290290289289288289289289288289290289289289289289288288289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294298296300299300303300301302303303296297299300299299299300301299299299299299300300300301302301302304300299296298298298299299299300300300300302300300299300298298297296295296295296295294294293293292293292292294294296296297294294296294295295294295295296296294293293293294293292293294289291291290291291290288288290289290289290292292291292292293292292291292292293293291291291291291290289291290291290291292293291292999999999999999999999999999999999999999999999999999999299299297296295296297301297297297297296297295296295294295293293294296295296295293292294297295294293291291292293293296296294294296298298296296298299298296296301300297298301300300300303300300302301302300300300301302301302301301302302303303303303304305305305306305306304304304305307308307307307307307308307307308307306305306304305305304304305306307306308307306306304304304304306305304304306307304305306307306306308309308306307307309308309307305304305304301301302303304305305306304308307307307307306309310308307307308307307307306305306304306307306307306306307308307306305305305308307308308308306307307307307305306305305305305304302304303302302301302302302303299301302302301301300299302304303304302302304300304303303304302302303303301300302302302303303303303303304303304303304303302303303303304304304304303302303303301302302301302301303303303302302302303302302301301301302301301303302301301300300299299300301300301300299299300300300300300299300301302302301302302302302302303302302303303303302302303300303303303302302302302302302302302301300301301301301301301301301301301301301300301298300300300299297300298301300297298296295298298298298299298299299299299299300296299296299298298298297296296296295294296292293291293294294294293293294293292292294293295294294294294294296295295294293295294294295295296297295297295294295297298296296296296297296296294296296297295294297297297296295294294294294294293293292293293294293292292291293292292291291292292292293293293293292293292291292292292292292292293292292292292292291292291292291292291291292292291292292292292292292293292293293291291292292292291291291291291290290290290290290290290289290289289290289289289289289288289289289290289289289289289288288288288288289289289289289288288289288289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294298297298300299298299300300303302298299297300299300299300300299301300302301301300301301301300300302300302297300299300301301300301299299301300301300299299299299296296294295295296295295293293293293293293293293293294297297294294296297295296295296296296294294293293291291291292290291289289289289290290290289290289291290290289292293292292292293292291291291292292292291292293292290291289290289291290290293290292293291999999999999999999999999999999999999999999999999999999299296295295296300298298299296298299295295295296294292292295294299297297298294296294294294293291290291290294294292296294296296297298300297297297295297299299299301299299302301301304302301302302301300298300300300302301302302301304303303302303304305305305306306305305305305305307306307308307306306307307307307306308305305304305304304305305308308307307306303307305304304303304305304306305307305306307307307306308308308309308308310309309307306306305303302303303303302305306307305307307308308308309308310307307308308307306307306305306306305307307306308307307307308306305305305304306307306305307307307305307307305308307307305304302304302303302302302302301300299301301301302302299299303304301304305307303304302303303304304302303302302300302301303303303304304304304303304305305304304304304304304304304304302302303303300301301302301301303302302302302301302302301301301301301301301302301302301300300300300300300300300300300299299301300300300300301300301301302303303304302303302302302303303303303303304304303303303303302303301300302302301302301301301301302302300301302301301301301301301299300300300299300302299300299299299297300296297299300300299299299300300296300300300299299299298298297297296295295296294293291293291291291294294294295295294294294296295293294297294295295294295294293295295296295295294297297296296295295296298295294296297298297297295293295296294295295296295294295295296294293293292293293293293293293293292292292292292292294293292292292292293293293292292292291291291291291292292292292292293292291291292292290291291291291292292292292292292292293292293293292291290291292291291291290290290290290290290290290289289290289289289289290289290289289290290289289289289289289289289289289289289289289289289289289289289289289288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295299298298299298299300300300301300303298299299300300299298300301302303302302301301299301299303300302300302300299301301302301300299300302302300300299299298299297296295295296296295295295294292293293295293293295293295295295295293293294295294295295294294293293292293292292290288289289290289289290291291289290289289289290290291291292293293294292291291291291291291291292291291291291289290291290290291291294294293999999999999999999999999999999999999999999999999999999999999296296297297297299298300297298300297295297297295294293294294296297297296296298295292292292293290291290292294294295295294296297297297297297297300302303301301302300304304301300302303298301301301301300300300301301302302301302303303304303304305306306306306306306306306307307308307308308307306307306307306307308307306305305306304304304307307306306308307306305305303304304303303305305304304305305306308307307309310310307308307307307307305307306304302303303304302306305307306307306308309307309309308309307307308308307307306306306306307306306306306307306305308308306306305304305305305305305306306307307307308308308307307303303303304303303303303302301301300300301301301303301301303303303301301302300305304304304304304303306303301300300302303304305304304305303304304304305306306304305305304305306305305302302303302301302302303301301304302301302301304302301302302301302301301302305303303302301300300300301300301300300299300301300299300299300301300300300302302303303303302302303303303302303302302303304304303303303302300301300302303301300300302301302301301300301300302302302302301300298300299299296299299299299300299300300298296297299300299299299300300301300300300300300300299299298297296296295296295295295291292293293291293294295295295295295295295295296292296295295295295295295295296296294294293295297294295297297297299297296296295296296294298297294296296295294296295295295296294294293293292293293293294292293292293293292293291291292292292291292291292293293292293292291291290292292292291292291292292292292291291291291293292291292291291292292292292291293292292292292292292292291291291291291291290290288291291289290290289289289289289289291289290289290289290289289289290290290289289289290289288289289289289289289288288289289289289288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297297299301300300299300301301299298299300300299299299300301303301302302301300300301301301300300301300300300301301301300299300299301300300300299298298297297295296295295295296296294293292293294293293294295295294295295294294293295294295296295293292292291291292292289288289290289290290291291291290289289288289290290291292293294293293292292292292291291291291291291291290291291291290291290291293295295294999999999999999999999999999999999999999999999999999999999999292295296296296297298299300297299298296296295295296293290296296296295296297298296293294293292290291293292293296293295295296297296299298298297299301303301301303303302305304301302301301302302303302302301299301301302300302302302303302303304305306306306306307307307306307307307308308307308306307307308306305307306307306305304305305306307306306307306306306305305302302303306303304303306304305304306308306307309310309308308307308308307306306307305302303304305305305305306307306307308308308308309309308308306308309308307306305304306307307306305305306305304306306306306307307306304306306306305307307306307307307307306304304304305305304304303303302301301301301302301301301302301302303302302303304305304305304304303302304302302302301301302302304304304304303304305304305304304305305305305305305306304303303303301301302302303303303304302302302301303303302301303302302301301301301303302303303301300300299300299300301301302300301300299300300300300300300301301301302302302301302303302303303303303304304304303300302303302302301301301301302301301300300301300300300302301301302301301301301300299299299296299298301301300300301300299297301299300299298297300300300300300300300299299298299298297297296296296295294295295295293294294292291295296294293294293292295294294294295293294295294293298296296293294294294295294297297294299298298296296295296296296296296294293296295294295294295295295293292292295293293293293293294292291293293293293292292292292293292293292292293292292292291291291291291290292291291291292291293292292291291291291291291291291292292293292292292292292291291291291291291291291290291291290290288290290290290290289289290289290290289289289289289289289289290289289289290289289288289289288288288288288288289288289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298301300301298298300301302297299297299300299299300301302304300300301301299300301301301303301301299299299300299299299300300301301301300299300299298296297296296295294295296296296293293292294294295295294293294295295295294294296294295294293292292291291291290290290288289289289290291290290292290288290289289290290292294293294293293293293292292291291291292291291291291291291291291292290291294295295294999999999999999999999999999999999999999999999999999999999999999295297297297297295300300298297296297296296296297294295298297296296295296296296293295296296293295293293294295293296296296296294297298300298296305299302303301303302303303301301302300301301301301302301302302303302300303302303304302302303305305305306306306307306307306307308308308308307306307306307306307305305304306305305304307306305305306306306306306305305304304304307304302305306304305305306306306306309309308308308307307307307305306306306305305306307306306306303305306307307308307308309308308309309308308308306305305305306306306306306304306305306306307308306306309308307306306307306305307306308306305307305305305303303304304303303303302302302302301301302301303302301304302303304303304305304304304304304303305303302303301302303303304303303304304305304304305305304305304305305305304304304304304304301302303303303304302303302302302302303302303303302302302301302302301302302302302301300300300301301300300302301300302300301300299302300300300301302301302302301302301302303304302302303302303304303303302303302302301300302301301301300300300300300300300302300300302301297301300299299299298299299299299300300300299300300300300296298298299298300300300300300300300299299298298299297296296295295295295294294295295293294293294293294292294294293293294291291292291292294294294295297294294296293294294295297297295295298299298299298297296297295295295296296296294294295295294295295295292293295295293292293292292293292292292293293292292293292293293292293293293293293292292291292291291291292292292292292291291291292291290290291290290290290291291292291291291291292290290291290290290291291290290291288290289290290290290290290289289289290289289290290289289289289290289289289290289289288289289290289289289289289289289289288289289288288289288287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298298299298298298301301299299301300299297298300300301302300301299300301299300300299300297300298298298299298298298298300301300299300300299299297296297296295295295297296297295294294293293294292295294293293295295297295295296296294294295293292292292291291290291290290290291290290290290293292289290290289290291292293293294293293293295294293292291291291290291290290292291292291292291293293296296292999999999999999999999999999999999999999999999999999999999999294295294295296296296300302300298296296298296294295296293295296296297296295295294294296296296297294292293293294294294296297295296295296300297297300299299301300302300302298300302301300301302300300300301301301300302304303303302303303303304303306305305306307307307307306308308308307307307306307305305306306305306303305305306304306305306305305305305307306305303304304304305306306306304304305306305306309307308310308309310309309306306306306307306305305306307307306305305305306306306306308307308308307308308308308306306305305306306306305304306303306307306306307308307306308305308307308304308307305306308306306305305305305305302303303302304303303303303303303303301301303301302302303303303303305305304303303304303300304304302303300302302302303304303304305305304304305305304305305304304305305303303304303304303304303304304304304302302302302301300302302302302302302301301302303302301301302301301300300300300300301302302301302301300301300301299300301301302304302302302300302302301303303302302303303302302302302304301299298302300301301301300301301300300301299301301300299300301300300302300300299299299299301300300300299300301297300300297298298300300300300300299300299299299299299298298297296296296296295295295295296296293295293291292292292295294293292293292293293291295295295295295298297294293295295293294297295294297298296297298296297296295294295293293292294295296295294295295295295294292294292291292292292293293292292293293293291292293293293292293292293293292292291291292292292291292291293293292291292291291290290291291290290290290290291291291291291292291291292290290290290291290290290289289290290289289290289289289289289289289290290290290289289289289289289290289289289289288289289289289289287289290289289289288289289288288288288287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297291294297299299298300299302302299293300300299299298299298300300299301301302298300299298297298298298298301301299299300301301300299298299298298297297296295294295294295295295296293294293293292293295293293294296294295297295298297295295294293291293293291292291291291290290290291291289290291292290289289290290291295293293294293294293292292293291291291289290291291291292292292293293293293294297299297999999999999999999999999999999999999999999999999999999999999295295296296295295296300301300301300300299296295298295298297298297296295296295295292291294296290295294294293296294292294296298299296297298297298300300301303301303304301300301303302301302301301299300301301301301304303304303304303303304303302303305306307306306307306308308309309307307308306306305305305305306305304304305306304304304305305304304305307306304303304305306305307308305305305305308306307307308308309309308309309309308307307307305305303306307307306305305305305305305306307309307308307308308309308307306305306305306305306305303305304305310306307306308306306304307309308309306306307307307306306305306306304303304301301301305303303303304303304303303301301302302302302303303303303304305305304302303301304304304302300301301302303303303304306304305305305304304304305305304305307305304303305302303302303303304303303302302302302301300300302302302302301301302301302301301300301301302301300300300300300300301301301301299300301301302301301301302301303302302302302302302303304302303303303304302302302304304301302300302300301301301301301301301301302301302301302299301301301301301300300300300300300301300300301301301297299298297300300299300300299300300299300300298299299299298298297296296297296296295294295296295294292293292295294294296293293293293293293293294294295296296294296297296294297296292292293296296295298296295295297295295295294295294294292295294293294294294294294294294293292291292292291292293292293292292294293293292291293293292294293293292292291291292292291291291291292292292291292292292291291290291290290290290292289288291291290291291290292292290290290290290290290290289289291290290289290289289289290289290290290291290290290290289289290289289289289289290289290289289290290289289289289289289288289288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292299301301299300298300301299299299294299299299299297300300298299303300297299299296296298298297298300300299299299301300300299299299298298297297297296295294294294295295295295294292292294293294294294293294296295295295296295296295293291292293293292292292292292293291291291290290290290291289290290289290291293293293293295295294292293292291290290290290291291291291291291291293294295297300300999999999999999999999999999999999999999999999999999999999999999297297298298295295297300301299300301299298297296297300297295295295296296294292294293292292291294293293296295296295295297297298298297296298300300298301302301300302303302302304303303302302301302301300299301301302302300302302304303303303303303304304306306306307307307308308307309310309308307306304305304305306304304304305304304303305303304303308305304305303303304305305307306306305306305305307307308309308311310309309309308308308307307307307306306305306306305306304305305305305305306306306307307307309307307306307305304303304304304304302305304306305307307307308308304305307308309305306307308307307305306306307305305305305302302302302304304303303301302302302301302302301303301301304304304304304304304304301303302302303304304302303302303303304305305304304305305305304304305305305305306307305305303305303303304303303303303304305302301302301301303302302302301302301300301300299301300302302302301300300300300300301301301301299300300300301302301301302302300301303304305303303304304303303305304304305301303304304301302302301301301301301302301301301301303302303303304303302299302301301300300300300300300300300300300301301300298296296296296297298298298300300300297300300297299299299298297296296296296295294294295295296296296296294293294295293293294293292293293290295295296295295296296296296295295293297291292293295295294294295296295296295295296294294294294294294294292294294292292292291292292293293292291292292292292292293292293293291292290293292294292292291291291292293292292291292292292292291292292291292291291291291291291290290291291289289289290292292292292291290290291291291289289290290290289290290290289289289289290290290290289290290290290289289289290290290290289289289289289289289290289289289289289289288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299303299300300300299299302299299297299299299299302300301300302301301299297297296298298297298300301298299299299300300300298298299299297297297297296295294295295294294294294294295293293294298295296299296297296296295297295294295293292292293292293293293293294292292292291291291290290290290289289289290289292291292294293294295293293290291291291290291290291291291292291292292294296299299299999999999999999999999999999999999999999999999999999999999999300300297297298293296295300297298299299299296298298299296299298298297297296294294294295294293293293292295294295296296295294298297298298298298300299298300299300300302301301302304302303302300302301300299300300302301302302303304305304303305302305304306306306308309307307305307307308308308306304306304304305305305305303304303303303303304303305305307306308305306308305306304306305305305306305306306307308309308309308310309309308308308308308308308307307305306305306304304304305305305305305306306305304306307307307307305305306306305303305303304304306308307308307308306307305304305304304304307306305307309303306304304304303304303304301302305304302301301302303302302304304302302302302303302303304304304302302303303304302301301302306300302302304303303304305306305305305305305304305305304304306302305305304303305306304307303305304304302302302302299300304303303302302302300300299300299302301302303302301300299299300300301300300300300301301300300301301301301302301301303301304303302304303303304304305302302303302303303303302303300303302301301302301301300300302303303302304303300301301301301301300301301300300300300300300300300296298296297296300297300298299300300298300299300297299299299298298297296296296296296294295295295296296296297295295295293293294293293292292293294295294295296295296296295298295295296293292293295293293293296296294295294295294295295294295295295294293294292293293293292293294294293293294292292292292291292291292292291290291293292292292292292292292290292293293292292291292292292292291291291290291290290290291291291290290290290290290291291292292291291291291290290290289290290290289289289289290289289289290290290290290290290290290290290289289289289289290290290289288289289289288289289289288288288288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304301302298292297297300294297294298300299298298299301302301299298297297298297298298298298298299298298298299298298299298296299299298297297295295295295295295295294294294294295294293294293293295294295295296295296297296292295295293292294293294294295293293294292291291291291290289291290290290290291289290290292293293293293293292291291292291291291291291291292292293293294295297299299297999999999999999999999999999999999999999999999999999999999999295297297296297298298297297299298300299299299299299299300299298297295296296295295296296294294293294292296297296295295294297297296297297298298301298300298298302303304303301300300300301301302301301302302302301300300301302302303303305304304304305305306307305308307307306304307307308308306307304306305305306305304304304303303302303304305304304307307305306309308305305307306306304305308305305305307307307308309307310309309309307307306307307306307306306305305304304304303304305304305304305305305306306306306305307305305307307305305306305305305306307305304306307308307306304304303306306304306307306304304305304305303303306303303303301302303305304302302304304303303302301303302301303303303303303304303303303303302304304302301300304304302303304303304304305305305305305305304304305305305305305306306306306304304307306307305305304303304303302302301303302303303302301301302298299297301302300300301302302301300299300300298300301301300301302303303300300299302301300302303301303302301303304302305304304303302303303302303303303303302303303302301301302302301304303304302304302303300301301301301301301301301301301301300300300300299297297296297297300297298295296298297298298299300299298298299298298298298297296295295295295295295296296296297296297294294294294293293293293295295295294296296296296295295298296294295296297295296293293293294295295294295296294294295297295294295295294293292293292293292293293292292293292292292291291292291291292291291292292292293292291291291290291291291291292292291291290291292292291292292291290290290291291292291291291290291291292291291291292291291291291291290289289288290290289289289289289290289289290290289290290290290290290290290290289289290290290290290289288289289288288288288288289289290288288287288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299295295295295296297297297298297300301303301301300298298299299299297298299298299300299299299297297298298298298300297300299298297297295296294295295293293294294293292294291293294291295295298297296296295297298295295294296294293293293293294295294291289294291291291291290291291290291290290289291291291292291292292293293292291292293292292291293292292291292293294294295298299299296999999999999999999999999999999999999999999999999999999999293294296296298297298297296298297298300300300299300300298296297296296296297296297297295296295294295292294295296296296295295295296297298297298299300299299299300304306302302303301301300300302301302302301302301301300300301302304301304304305305304305307309307307307306305306305307306307307305306304304305306305306306304305303304303305305305306306305307305303307305308306306306308309305305304303305307307308308310309309309310309308308306306307306305306306305305305304304304305304304304303304303305303307307305306306307307308306308309305307306304305305304306308308306305306304305306307305304306304307305307304304305304305305303305302301304303303303304304305303303303303304303303303303303304305303304303305304304302303305304304304303305302304304304304305306304305303304304304305305305304305304307307305307307307306307307306305304304303304303302301301302303304302302301301302301299301301300300302301300300301301302300299300300300300301302303302299299299300303301302303304305304303302306304304302303303304303303302304304304303303303302304304302303303301302303304304304302302299302301302302302301301301301301301301300300300299300297297297296299299299299299297299300299299299299300299299298299298298298297297296296296296296295296297297296296297293294295295295294294295295296295296296296295294298297295293293293296294292293292291293296294295295295294294295295294294294294292293293292294293292292293292292294292291292292292293290292292292291292290292291292291291290290290291292292292292292291291292292292292292292292290292291291289291291291291291291292291290291291292291290290290291290290289289288288288289289289289290289290290289290289290290291290290290290290290290290289289290289290289288289289289288288288288288289288287288287287288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297294295294297297296297298296301302300301302299298298298300298297298298299298299299298298298298298299299300299299299298297299297296295294293294296295292293294292291293293296295291295298293295297296298297296295294294294292293293293293295294294293294293291290290290290290290291291290289290290291290291291291292292293292293293294293293294293292293293293294295999298298298298999999999999999999999999999999999999999999999999999999999293293297296298297298298298298296296298299300300300297297297297296298297297297297298297299299297293297296295296298295296297296297298301300299300300301303300300304301305302300301301302302302301301301301302301302301302303303303302302305305305304304306306306307307307306306305306307305306305305306305306306306307304304306304305305304306305304304304306305304305306308307304303304305306306307306305306307306308309309310308309310310310308308306305308306306304306306305304305304304304304304304305302304306304306306306305303305302308306306304303305306305304302304306304304306306305305304305303304307304303303304302304304303302303303302304304304304304305304303304303305305304303303303303304304305305304304304305301302305306305305306306303303304304304305305305305305304304305305306305307307308308308307306309308308307307307307306305304305305303303302302302302303303304301301299300300299299300301302302300301301301302301301301301301301303303305300300302299301305303302304304303304302304305303303302303304304304304303305304303304302302303303302302304303303304303302304304305305302304303303302302301301301301301301300300300300299299299299299295295298299299298299299299299299299299299300298298298297298298298298297297297298297297296297297297296298297295295296297295296295295297297295295297297296297297297295296296294293292293293295294293294294295295295294295295294293293293293292293292293293293294292295293292292291291292292293292292292292292293292290293292292291290291291292292292292292292292292291292291293293291290291291291291291290290290290290291292292293290290291291292290291291291289290289288289289288290289289289290290290289289290290290290290291290290290290290290290289289289289289288288288288288288288288288287287288287287287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292288298294295297297298299294298300301298298297298298299299298297297298298299298299299298299299299300299300299297298297296296295295294292296296295294293292291293293294295292296296295296297295296296295294294293294293293293293293293294294295294289290289288289290290290290290290290290290290292292290291291291292292293293293292292293294293293292292295295999999300298303301999999999999999999999999999999999999999999999999999999292292294294297296297299299298298298298298299299300297298297297298297299299296298297297298297296294296296296296296298297299299299300301299301300299301303302305303305303301302304301301302302302302301301302303302301300303303303302303306304305303306307305305307306305308305304306306306307306305305305305306305305305305307305305306304304305304304304306305304304306308307306305306305307306306307305306308307307307309308309309310309308307307306306307307307306306304304304304303304304304303304305305304307305306307307306308305305308304305305305305305306305303306306304304304305305302304304304304305307306305306303304302302302304302303306301304304303304305304304305305304305303304305303304304306304304303303300305304304305307305305304304304303304304305306305304304303303305306307306307307309307308307309308308308308307307308307306306305303303302303304302303303301301304302301299301300300300300301302301299300299299300300302302301302303303304299300301300302304304303303303301302302304304303304302303304305304304303304303304305304305304303302303302302303304304304304305303303300303302302302302301302302301301301301300300299298299299299296299296299299298299298299298299299299299299299299298298298298299298298298298298298299298297297297297297298295298295295296296297296296296297297295296297297295296296295295293291291292293293293294293292295292293296293295293292293293292293293292292292292291292292291293292292292291293292293293293291293291292292292293292292291289290290292292292291292291292292291292292292291291291291289291290290292290290290291291291292291290290289290291292289289289290288289289289288289289289290290289290290290290290290290290290290290290291291290289289289289289288288289288288287288288288287287287287287287287286286287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289297296294299298296297294295299300300299297297297298298297297297297299299299300299298298300300299299298297297297296296296296295294296295295294293293292293297293294294294295294293294293293295296294294293291293294293293292291293294295294293290289289289290290290290290290290289290290291291293291291291290292293293293294293293293293293293293293294295999999297300305304999999999999999999999999999999999999999999999999294292292293293296296297297299298297299299298297299298298299298299297297300298298298299296298298297297293296299300299298299299298297299300301299299303302303301302302301303303303304303301301302303303302301301301302302301301300302303302305303304304305305305303305306307308306308306302306307304305305305305305305306305306307306308306306305301302305306304307306305306308305307307306307304308310307309309307308310310309309309309309310309309306307306306307306307306307305305305303304304304303306305305304306306306305305306308306306305307303302305307306307305303304305304304304303303305305304305304304305304303307303303304302303302303303304305303303302303303305304304305304307306304303304305305302306305304304304305304305302306304306304304304303304304304305305304305306305305305306308307306309308308308307308309308307308306307307307306306305305303304303304304304301302301301302301301302301301301299301303301300300299300301300302302302302303304305301302301301303304304303304300302300304304305305304306304304305304303303304304304305304304304302303304302301302304304304304303303303303303302302302302302302301301302302301301300299300300300299299299299299299298298299299299299299299300300300299299298299299299299299299299298298299299297297298296297300298300298298298297296297297296295296297297297297296292295296293293292292292293293293294292292292294294295295293292293293293292293293291292294292293293294293292292293293291293292293292293291292292291292292293293293292292291292291291291291290291292292292292292291292291291291291290290290290290289290290289290291291289289290291290290290289289289289289289289288289289290290289289289290290290290289289289291290290290291290290290289289289288288288288288288288288288287288287287287287287287286287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294294296295295295295296295294301297298297297296296296296296297298299300299299300299298300299298298298297297296297297295294296296293293293293294292293294293292291292290292296289290293295295296294294293294292291293291291291292291290291290291290289289289290289290290290291290290290289290291292292291291291292292292292292294293293292294293295296296999999999298299999999999999999999999999999999999999999999303298297293291292294295295295296297298298298299299299299299299300298299299298299300298297297298297298297297294297297297296297300297299300299299299298297298298299298302301303305303303302303304300302302303303302302302301301301302302302302305303304304305305304304303303302305307304305307306304306307308306306305305306305306303307306308308306307306305305306306306306306307308308306308309309308307308308308308308308308308309309310309308309309310310308306307306305305306308307305306305306304307303304306306303302305306306305304305304305304305307305302304307307308305304305305305304304304305303305302302306305304306307306305304305304304303305304304305305304302305306301301300305305309306304303303302302303304304306304305307305304305306304306305304304305304305304305304305305305305306306307307307308308309309308307308309308308306308307306305304307304305301303305303301303302302302302301301300301301303302300300301301300301300301300302302302302302303303303300302303304304304303305305304304302304304304305304304303305305304304303303304305303306303305306304303301304303303303303303303303303301303303302302302302302302302301301301300300300300299299299299299299299298298299299299299299299299299298300300300299299299299299299299299299299298298298299299298299299299299296299297296296297297297297297297297296296296294295296292292292293293295293294294294293292294294294295296293293294293292293293293293294293291293294292294292292292292293293291290291289288291289291292291290289292293291291290290291290291292291292292291291291291291290290290289290290289289289290290289290289291290290290290290290289289289289289289289289289289289289289290289290290290290290290290291291292292291290290290290289289288288288288288288288287287288287287287287286287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296294296293293294295294293299297297297295294294295295295295296298299299299300300298300299299299299297297297296295295293294293294294293293292292293290292291291292291290292288294294296295294294294294293294294294291290289289289291290291290289289289290290290289290290290290290291291289290291291292292292292292293294294293293292292293292293295295999999999999999999999999999999999999999999999999999999300299301295294292292295296297294293298297297299298298294296298299299299299298298300300298299299296297298295301300296297297296297296300299298300300299297298295298300299302303307309310303302301303303302303303303303303302302303302303303303304305303303302304303303303302303305305306306304306306306304308306306306306304303306306307309308308309308306306306306307306307307308309307308309310309309309308308308308308308307309308308307307307309309310310310309310307305307306306307307303306309307304305308307299307307301307307307310305307306304305302302301303305304302307303305304305305304304306304304305303303303305307306305306306304304303304306303305304304301305305303305305302304305306307306306305304303303304304303304305305306307305305306306305304303305303303305305304303304306304307305306306307305306307308308307307308310307307306308306304304302305303303305305304304302304302302302301298299301301301302300301302301301301301299302302303302303302302304304304303302302303303302304301305304304304304304304304305305305306306306305304304305305306306303304304303304300303303303303303303303303303300303303303302302302302302302301301301300300299300299299299299300299299299298299300299299300299300299299299300300299300300299299299299298299299299299300298299300299299299299296299297297297298296299298298298297297296296296294294292292291292294293292293293295294293293293293293294293291293294293293292293294294294292293291292292292291291291291290290289290290289290290289289290291291291292290290290290290290291290291291291291291291291290291291290290290291291291289290291291290290290290291290289290289289290289289289289289289289289289289289290289290290289289290290290291291291290290289289289290290289290288288288288288287286286287287286287286286286286286285286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298288296296294292295295296298298296296294294295295295294295294296296299299300300298301301300298299298297297296296295294293291293292293291290291293293291291292291294294294295294296297296296295295294295294294293291291291291288290290291290290289290290289289288289288289289290290291290290289290291294292292292292293293292292292291291291290294294293999999999999999999999999999999999999999999999999298298295294293294294296297297296295294297297298298298297296297296296297296299302300300299297297296296296297296296300300296298300300298300299299298299298297300300299302302303304304304299306301302303301304303302302302304302304303304303302303304304303304304305303302302302302304304304305304306307306306308307306303306305305305306308310308304305304305306304307307307306307309307309309306311311308310310309309307308307307309309309308308308309310309309310309308309307306307307304306304300305307305305308307305305300303305306306307308307306303305302300302304304304303304304304305304304305303303302303302302304304304305304304306305304304303304304303305305304303304304304306306306305306305305306306306303303304303304305307307306305304304307304306307304306304304304304305305305305307307302304305304305306306306307307308307308309306306307308304305304307306306305305304304304304303302302302301300302302301300300300300301301302302302301303302303302304303303305304304303302302302302302304304304303304304304304305305305305305305305306305304304304305305303304304303302303304303303303303303303303303303304303302303303303302302302302302301301301300300299300299299299299299299298298299299299300300300299299299299299300299299298299298299300298298300300299298298297299297297297297296296299298295297296298297296296297296296296295294294293293293293293292292293293294294293294293293293293292292294294294293293293292293294294292293293292291292293291292290289290291289290290290289288289290291290289289290290290291291291291290291292292291291291290290290290290291292290290290290291290291289289290290289289289289289289289289289290289289289288289290289290290290288290290290289290290291291290290291290290290290289290289289289288287287287286286286286286286286286286286285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295297295294293294295296295296297297295295297297296294294294294295296298299300298300300299299298297297297296296295295294293294292291292292293293292294294293292291289288296294294294296295295293294295295294292291292291291288290291291291290290289289289288288288288289288288289290290291289290290291291292292294292293293292291292292292293294293295999999999999999999999999999999999999999999999999999289294292294296296296298297297296295295296295295297300297297298297298297299300300299298296295294296298297296297300298298298299299296296299298296298298300300299299299300298297301303299302302301303302303301302304303304302302303302301300301302302304302303304302303303303303303303302304306304305303304304303303302302303302303303305306302303302303304304304305307306306309310308308308308308309308310308308308307306306307308309308308307308308309309308308309309309310309306303305308303302302302305306304305304302297300307306307305307304302305305304300301303301304302302304304304304305304303303303302302302302303305304305305305304304304305304304305307307305304303303304305305306302306305307306306305304304303303305303305305305305305305304305305305305304304304304305304305303304305305305304304306306306306306307308309309307311306304309304303305305305305304300304299301303300303302303301301300299302300299301301298300299301300302301302302302303303303302303303303301302302302301301300303303302302303304304304304305305305306306305305304304305304305305304303303299302305303305303304303303304302305304304305302303306304303300301301301300300300299300299299299299298299298298298298298299300300300299298299298299300298298297299298298299298299299299300299299297297298299297297298296297298295297296299295295296297296299295295295294293294293293291291293293293293294292293293292293293292294295294292294293293292292294294293294293292292292291291291291291290290290291290290290289289289290290289289290290290291290292290291291291292292290291290290291291289290291291290290291291291291290290290290290290290289289289289290289289289289289289289289290290290290289289289290290290291290290290290290290289289288289288288288288287286286285285286286285285285285285286285285285286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295296295294294294296297296296297296296297300298295295294295296295297298297297298299299298299297296296297295295294294293293294294293293293291290293293291290289294290291294293295294294293292293294293293291291293291290289289290290290290289289288289288288288289289288288289290291290290290291291291291293293293293293292292291291291292293292294999999999999999999999999999999999999999999999999999296294292296295295298296297297297296296295295294298298300298300299299298299297299299300298299295297296297299299301300298299299299298297299298299298299299299300299299300299298300298298301300301301301302303304305303304300302300301300302302301301303302302303302303304303304304303303304304303304303304304302303301300302302303304305303302304302303303305304304304305306308309307308307308308308310307308308307307307306307308307307308308308307308309308308309308308308308306303304303304301299300302302302302303303305300302303305307299301302305302302303304304303301306304304304304303302304303303303303303304304303304304305305304304304303303304305304305305304304304303304304304304302304304304304305304305304303304304303305304305305304304306304306306304305305304303305304306305303305304305307303306305307307307308308308309310310307309309305307306305305304304301301300302301300302303303300301302304302300301301301300301297300301302301302301303303304304304302303303303302303301301302300300303300303304305304304305305304307306306304305305305304305304302304304303301304303302300299303300303305301303303305306302304306306304304301301301300300299299299299299299300299299299298298298299300299299299298299299299299299299300300298298298297297298299300300299296295298298298297298296296297296299298297296299297296296297295295295294295294293293293292292293293292293294293293293293293294294294294292292292293292293293294295294293293294293291292292291292292291291290290290290290291291289289290290289290290290291291291290291292292291291291291291290289291290290290290290291291291290290290289290289290289290289288289289289289288289289289289289289289289289289288288290289290290289291291290289291289289288288289289289286286286286286285285285285285285285284285286284285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296295295295296299295296296297297299299298297295293294296293297295296297298298298298297298296296296296295293294294293290294294294292293289292291290291293289292290295293292294295292292291294295293292292291292290288289289289290290289289290288288288288289288288290290290289290289290291292292292293293292292292293292292291290292291292293999999999999999999999999999999999999999999999999298296295293294294296297296295295297296295296294300296299298299298295297297299299295297298298299300297300300299299299301300299298298298297300299300299299300300302302301300302302302300303303303303303301303304303302303302300302300300301301301303300302302301302302303302303304305305304303303305304303303301302302301304302303301305306303304303303303303304304305304305304305309306308307309308309308308308308307308307306307307307307307307307307307307308308309309307307308307305304305304302300300300303303303303300299301299300299300300301302301304303303303303303303304304303305304303302304304305304303304304304302303304305306304304304305303305305305304304305305305303304304304303303304304303305306305305303305305305304302305305306305306306305306305304305305305305306306305303304305305305305303305306306307311308307308307307307307308308306308306305300300304302301302304302303302305301301303302305303301302301302299301302300303300301300304304304304304303303303304303303302301302302302300304303303304305304304305306306308305305305305305304304304303304304302304300302302302302302299301303304304300305305306304305305304306305302302299301299299299299298298298299299299299298298299299300300300297300299298299299299299299299298298299299297298298300298296299296297298297297297295296299298299298298298293298296296295295295294293294293294293293293293293293291294294292293293293293293293294293291291292293293293293294294294294293293292293291293292290292292292291290290288289289290290290290290289289290290290290290291290291291290290290290290289291290290290290289290289289290289289289289290289290289289288289289288289289289288288289289289289289289291290289289290290289289290290290290289290289289288288287288287286286287286286286285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296296292295296297297295297297298300299298297295293295295295296294296296296296296297297295296295295294294294290293293293292293292295292293291293292293293291290290287293296294293294290291292291292292291292290289290289289290290289289290289288288288288289289289290290291289289289289290292291292292292292293292293291290291292291292293999999999999999999999999999999999999999999999999296296294294295294296296296295293296294295294294296295294296298298295296298299298298296299297298297298302302300301299300301298299298301300300301300300300301299299303302301303303302301303303303304303302303303302303304305301300302301301301302301300301303302302300301301302304304305304301304305304303303301302302302304301303302304305305302303305304304304304305303305305307307306309308308307308308309308308308308307307307307307307307308307307308308307307306308307307308304304305303304302304302301301301298302300300302300298299300301303301300301302301303304303303303305302303305303304304303303303302303303304303303304305304305305304303304305305305304305303304302304304305305303303304305304304305306305305305305306305304305304304305306305306306304305305305305305305305305306303305304304305305304308308308307307307307307306306307306308309308306307300305302302300300300302303302302301301303301302301301301301300301300297302300302301302303305302305304302304304303304304303302303302301301304304304305305305305305307307307306304305305303303305305303301303304303301301302300302302303302304303304303304305305305307305303306303300301298301300299299298299298298299299299299299299299299301301299299299300299300299299300297298301300300299300299298297297297298297297300297297296297297297296295298297295293296295293294293294294293293293293293294292293293293293294293292293293293293293293293292292291293294293292293293293293294293293292292291292292290291290290289288290288289288288290289289290288291290290290291289290290290291290290289290290289290290290290290289289289289289289289289289289289288288289288288289289289289289288288288289289289290290290290289288290290289290291291290290289290289289289288287288287286287287285286286286286285285285285286285285286286285285286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294297293294296297296297297297298300301299296295294295296297296295294297296298296297296296296295293295294292292294293291291290291293293291290293292293292293292291292292293293293292293293293295290293292291290289290289289290290290289289288287287288287289288288288290290289289289289290291291291291291292292291291290289290289291292290999999999999999999999999999999999999999999999297296294293293293294293294295293294293294294295295293294293295295297299298299299299298294299298298298297300300302301301300296299297295300301300300300300299302298301301300300301302301302303303304304304303303302304302304302302302301300300301301300301300300301303301299301302303304304301304305304305305304303303302303303302303303304305305303304303304303303305305305304304306306307308308308308307307310309308308307308308309307307306308306307307307308308308307306307307307305305302304303301302303302301300300300301301301301298298301301302302300299301301302304303303302304302302300303304304303303302301303302303303304304305305305305304304304305306304304303302303303303304304304304304305305305305306306305305306305305305306305304305304305305305305304305305305305304305305305302303305304305305305306306307307307306306306306305307308307307306305304305305305305305300300302305303302303302302303302302302302300301301303299299302303302302303303304303304302302303304304303303303304305304303301304304304304305306306306306306306306306306306305303305305304304304304303303301303304304304304303303304304305306306306304305305304305302301301300300300299299299299298298298299299298299299299299300301300298299299298299299300301299300300299300300300299297297296300298297298298297298296297295295296296297296294295294293293294294295293292293292293293293292294294293293292294293292294293293294293292293293291293293293293292293293293293293293293293291292292292291289290288290290290289289289288290291289290290290291291291290290291290291291290290290289289290290291290289290288289290290290290289289289288289289289289289290289289289289289290290290290289290290290290290290290291289290290289290289289289289289289288288288287287287286285285285285285286284285284285285285285285285285286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295294296295296297296296299300299298296294295294294294294295295296297298298296297296296295295294294294292294293292291290292291291291290291292291294292294290291292291293294294289290290294293291293292290290289288289289289289289289288288288288288288288287289290288289287287288289289291291291291290292291291290290289290290290291292999999999999999999999999999999999999999999297297294294291293292293294295294294295295294293292291293291294296298297298299296303296297298298297298300299301300299300298297297297298302296299303301300300301301300302299301301300300303303304303304303304302302302302302301302302300300300301301300300300299300301300302301303302303305305304304304305305301301301303303304304302303305305304304304303304304304305306306305305305306308308309309308307308309310310309308308306306306306306307306306307308308308308307308307306305304305303305303300302300299301302301302300301299297299302300300303302299299300301302299302302302303304302303302304304304302302302303303303303304304305304303306304303304304305303304303301303301303305304305305303304305304305306305306304305305304304305305303303303305303305304304304305306304305305304304303304303305305304305307306306306306305306306306306306306306306302301300303304307307307303300302302304302303302302302304302303302302300302301302302302300300302303302303305305303302303303303304303303304305305306304301300304301303306306305305306305306305305304305304304305305301303303303302303303304304303302302303304305304305305305304302301302302299299299298301300300300299297299298299299299299299299299300300300300297297298299300299299298299300299298302301300296298299296299298299299298299296296296296297295298295296295294295296293295295294293292293293293294293293294295293294293293293293294294294294293293293292292293293293293293293293293293293293293294293292292293291291291290290291292291290290291290291290290290291291292291292292291291291290290290290289289290290290289288290290290290289289289289289289289289289289289289288288289289289290289290289288290289290289289289289289289290289289289290290289289289289288288288287287286286286286285285285284285285284284284285286286285285285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297293295296297297296296299299300299296294295295294293293294295295296297298297296297296295294294295293293293292292290290292292292290292291290291293292291289290290290293292293289290291294293293292293292290290291289287290289289290290290288289288289288288290290288289288287289289290290290291290291291291290290291290292292291292289999999999999999999999999999999999999999999999297296295295292294294292294294294295294294292295294294292293296294297298299300299300299299300297302302300300299299297298298297301298299298299301301301302298302301301299298300300301301301302304303302303303302301301300300303300300301300300300299299299299299302300300301302301300302302302303303305305302301301301302304304303304304303303304302305304303303305305306306304305307308307309310308307309308311309308308307305305306307307305305306306308307307306307307307307305306305305301300300301299300298301303295297296295297298298298299301300299300300300300299300302302301303301303304303303304305303302302303302302303304306304306305304304303303304304302301301302303303303304303304304303305306303304303305305304305304305304305305304304999304304305305305304306305305305305304304304304304305303305306305304307304305305305305306305306307305300302302301306304304299300301303304303303304301301303303303302302301301302302302303302300302302303303303304303302303303303303303303304304305305306304304304305305304305305306305304305306306304302304304305303303304302302302302302300300300302303303304305305304305306306304301303301302300300300299301301301298298297298299299299300299295299299300299300300300299299299300298300297300299301300299300300299298299298298298298297298298297296296298296295297297296295293293297298296294293294293292294293294293293293294293295294293293293294294294294293294292292293293293293293293294293293293292292291293292292293292290291290290290290291291292290292288290290290290291291292291291291291290290290290289289289289289290290289289290289290289289289289288288289289289289290289289288289289289290289289289289288289289290289289290290290289290290290290290290290288289290288287288287286287287286286286285285284284284284285285285285285285286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295293295298296296296298298298300298295293294293294295295293293295295296297296296297296296295293293292292292293291291291290290292291290290292292291292292290294289290292291291288290291287291293293292292291291291289289289289288289291290289289290290288289289290288289288288288289290290290290290290290290290291290290293292291290293295999999999999999999999999999999999999999999297296292294290293294293293293292293294292293294293293292294297296297298300302303301299298296302300299301299300297297299299300301298301298301301299302302302300301301299300300299301303303302304301301301301302301300302302303300300300301300299300299300299302302301301301303302302303302303304304302304304302304304302301305304304302303303304304305305304305305304305304304305306307307308307308308309309309309307307306306305306306306305305306306306306306305307305306306305303305305303303300302299299299299297296298297296300299298298300299301299301301301301301301302301301302303302304301302303303302303302303302302301302303303305305305304303303303303301301302302300301302302302303305306305306303303303303304304304305304305306305302304303305304304304303303304302304304304304304305303305304305305306308307307305308307306306307306305301302302301301302301299300301301303303304303303302302304304303303303303301303304302300301303298301301302301301304303303303304303303303304303304305306306304305304304305306305305305305305305305305305304303303303303305302304302302302300301299304304304304305305305304305307302301302302303301301300301298301301301298300299300299299298300300298300300300300300301301300300299300301300300300299296300298300299300296297297300297300299300298297297296297296296297297296294294295296297296294294293295293293293293293293294293294294294293293293294295294295294294292292293293293294293293293293293294293292292293293293292292291292288289289291291291290290290290290290290290289291291291291289291292290290290289289289289289289290288288290289290289289289289288288288289289289289288288288288289288289289289290289288289289289289289289289289289290289290289290289288289288289287287287287286287286286285285285285285285285285285285285285286284285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294295297298297296296298297298299298294293291292292292293293294293294294295297296296296295294294295294292289295294294292290292289290289289290289293292292291286287291294291295291291287289294292292292292291290291291289289289289288290290289290292291292290288288287290290289288288289290290290290290289289289289289290293292292293294296999999999999999999999999999999999999999999999292292999999292292292292291292292293293294293292291293292293294297298302301302299296298302299297300300299301302300300300302301300298300302299300301302302300303302299300299300301302304304303301300303301300301300302301300300300300300300300301300301302302301301300301302301303303301302303304303302304303304302303302305305303302303304303304305305305304304304304303304306306306308308308307307308309309309309308307306306307306307305304305306305307306307306306306306305304304305304304304301303300299297297298298297299298298298300302301301300302300301301300301300300302304303303303303303303303303303302302302302302303303302302305305304303303303305301300300301300302302302303303304305307305303303304304303305306306304304303303302303304303305304303302304305304304304304304305305304305303306306309307307307307308305305305307303303301303302302301301301300300303302303303302304305304302303304304304304303302301304304301299299301302301302300303304302301303303304304304303304304305305307304304305305306306305305305305305305305306305305305304304302302302304303302303302303304299303305301304305305304306301302304305302304301303304302303301297300300300300300296299299298298299301300300302301299301301300300299298300298297299298297298299299297297297296298298298298299297297297297296297296296295296295295297297295294294292293293292292293293293294294293294294294293294294294294296294296295293293293293293294294293293293294293294292293293294293293292292291290290290290292291291290290291291290290289290290291291291290290291290290289290289289289289290289289288289289290289289289289288288288289289288289289288288288288288289288288288288289288289289289289289289289289289290288290290289287289287289288287287287286286286285285285285285284285284284285285285285284285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293295292296297295297298298298299299295293292293292293294294294293291291293296295297296294294293295293293293294295294291292292292292292292291293292292292293287289287291293293292290287288293293290292292292290290291291288289291291288289289290290291291287287289290291290289288288289290289290290289289289289289288289291292291292293294999999999999999999999999999999999999999999999293291292999290290291290290290293293292292292292292293294295294295296298298298298299300299301300300302299299298301300299301302302300300300300302301301299301301303300300298300300302302302302300299301301300301301301299300300300301301302301300301301303302303303303303301302300303302301303303303303304303303302303301303302302303303304304304304305303304303304304304303303305306306307308307308308308308309308308307307306306306306305306304305306307307305305305306304305304305303300299302300300300299297296298297298299298296300301301302301300301301301300299302303303304303302302302303304303303303301302302303303303303303301304305305304302302302304301301302301301300303302304304303305305306303303304304303303304304304302304304302302304303303304303302303304305304303304304305306304304305305305308305306305305306304306307308304300301303302301301300300300303302304303305305305304304303303304304304304303302303302302302301299301303300301300303303302303304304304304304302304305304305306308304305305305305305305305304304304305305305304304303304305303303302304301302301301305303304305304304306306306305301301304304305304304304302301300303300299300299299298300300298299300301301300298301300300300301301299299299300299299299297298300301297299296298297298297297296299298296297297296297297298297297295297295294294294293294293293294294294293293294295293295294293293293294294294295294295295294293293293293294294293293293293292293293293294293293293293293292291291291291291290289290290290290291291290290290290290291289289290290290290290289289289289290288289288290289289289288289289288288289289289289289289289288288287288288289289289287288290289288289288289289289289290290289289289289290289289288288288288288288287286286286286285285285285286286286285286286285285285285286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293296292295296299295297298298299298296294296295295294295295294295293292292291295295296295292294296296294291294294294292292293294291289289291293293289289291291292292293295289295294286287286295292292290291291291291291288291291291290289288290291289290290286288288288289289288289289289290289289289289289289289288289291290290290292295294296999999295300302999999999999999999999999999292291999290288289288287289290291292291292291292291293294293295297298298299300299301302299299299303301303301300300298300299301302300299298299299301299301302303302299299302302303301302302299298301302302302302302302299300300301301302300302302302303303304303302302302301302302302302301302302303304304302302301302303302303303303305302303302302303304303303304304303303305305306307306307307309309309308307307307307306305305305306304304304306305305306305305304301302304303302301300299300301300298297297300299300299299296300301301301301300300302302300300303302300303301302301302302303303302302301301302301302302303303303304305304304304302301302302301301301300301302302302304303305302304305303303305304304301304304303302303302303303302303304304304304304303304304303304305305305305305306304305304304305305304306305306304303300303303302300302300302301301304306304304305304306304303303303305305304303303304302302303300300302302302302302303303303303304304304304304303304304305306307306306305306305305305305305304304305305305305305304304305305305304302305304302302302301305301303303306304304303302303304302302303304301300300300303302301300299300299300299301300297300300300300300301298301301301301301298298298299299300296299298299297298296298297297297297296297297297296296296296295298297295295296296294294293293292291292292294295293293295293294294294294293293294293294295295294295294293294294293293294293293293293292293293293294293294292292294293292291292292292291290290289290291290289290290290291291290290290291291290289290290291290290289289289290289288289289290289288289289289289289289289289289292288288289287289289289289288289291290290289290290290290290291290291290290290290289289289288287288287287286286286286285286285285285286286285285285285285285285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291297299299300300299299299299298297296297297297297295295296297296294294293293295295296296295295296296296292292293294291293294294292292293294292290289291290289291290291291291291291287289293295292292291291290291290288289289290289288291290292291290288286288287288286287288288289289289290290289288289289288289289291291290290288293293293999999999295299296999999999999999999999294295294999290290291288291293292293292294294293293294295294296295297298297300299300299298298297301301302300300300300302301299301299301301300301301302298300302302302300301298301301302301303301303304301302302303301301300300301301300301301302300302302301303303302302303302302302302302303303301303303303303302302302303302302302303303303303303303304304304304302303302303304305305306306306307307308308307306306307305305305306304304304304304305305304304304304303303300301299300298298301299300300298296297300299299297298298299299301300301299300299299301303302303301303303303301302302303302302302302302300302301302303303304304305304304302303303302305303302301301301302302303304304304303304303304305305306304303304304303303304303302303304302303306305303303303303304304304304305305306306305305305302305303305304305306305303301302302302302302302304301299302303304305305305304305303302302304305304302304305302305304304301302300303303303301302303304304305304304305305304304304304305306305305305305305304305304304304304305304305303301301304304304305303303304303301302303305301305302301306304304301306304303304302302303300302299299302301301297299301300300299297300300300300300300300301300300300299299299299298298299299300295298298298298297296297297297298297296298297297298297298298297298297296296295296295294294294293292292292294295295294294295294295294293294293293293294295293294293292293294294293293292293293293293293294294294294293292293291293293293292292293293292291291291291291292290292291291290290290290291291291290291290290290290291290289290291287288291290290290289289290290289289289288289290290289289288288288289289289290290288288289289289289290290290291290290289289290289289289289288288288287286286286286285285285285285285285285284285286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288292295296297297297298298298298296296298297296295295294295296296294294292292293296296296293296296300295293294293294291293294295295296293292294290292291291291292288292293292286290289291286294290292289291289290290290291292292290289290289291293290289287287288288287288289289290291291291291290289290288290291291292292293291289290291293294999999296300297298999999999999999999295296293292295295293293291294295294294296295294293293294295296293297297299299300300302302297302301301302301300299298299300301301300298301299301301301303300300303301300300301301302304302304302302301300302302302301301301300301301301301302302302304305303303304303303302301302302303303303301302301302302304302302303302301303302302303303303304304304303303304302303303303303304305305305305306306307307306306306307306305305306304304304304305304305304304303303304302301301300302303302301301299299299301301298301300299300299299299301302301300301299301302302301302301301302303301302302302302302302301303303303303302304305304305304304304304304303303305303302301302301303303302302303302303304303304304304304303302303303302303303304303304302303303304304304303304303304305304304304302303305304305304304304304304305305305303303304300303302303302301303302303304303305303304303304304302304304304304302302305303301302303303300303303304302303303302304302304305305305305305305305303304305307304303304303303305305304304304304304302302304303305303304304305304303303303302302303304303306302303306306303302301301302305303302301301301300302301301301300299299297300300299297300300300300301299300301299299300300298299299299299298299297299299298299298298297298297298298297296298297298298297298297298296295294296295293294294294293293293294295295294294295294294295295294295294294294294294295294294294294295294293294294293293294294293293296295294294294293292294293293293293293292291291291292290291289290291290291291290289290290291291290290289289289290290290291290290290290289289289290289288288287289288288288288288289289289289287288288289289289289289288289289289289289290289289289289289289289289289288288288288287287286286286286286285285285285285285285285285285285285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287292294295297300298299298297297297297296297296296295294294293293295294293292292291292295296293294293298295290293293294294295292292293293293291292290291294292291292289291291288286286293284285291293292292292291289290290291292293290290290288290290289289290288290288287287289289290290291293293292291291291291292292294296295295290291291291293999999297300304999999999999999999999295294298297296296296296294295297298297293295295294294294294295295295297298298299299298300300300299299300302300300300303301299300301301301303302302302301301303301303302303302301301303303304300301301301304302300301301300302300302301302303303304303303303302304304301301301301302302303303302302303302302302303302302302303303303302302305302301304302302303303303303303303304304304304305306306307306306307304305306305304304305303304303303305305305304302304303303302301299299300302300299300298299299301300299297301300301299299300300301303301302301300301302301301301301302303302302301303303303303303302301302303305304305305305305304304303304304303304303302302301302301302300302303302303303305304305304306303303303304304303304304303304304303303303304303304303304303304305304304303306303305306306307305304306305305305305304304300303304303303303303304303304304304304303305305304303303304304303304304304302301303303301301302303303303303303303305303304305305305305305304305305305304305304304304304304305304305304304303303303303304305304303301305305304304304305304305307304304307303303303307305303304304303303303304300300302300300302301302299298300300301301300300301299300300303301300300301301300301299300299300299298300300299300299298298297297298298299297297297297297297297297299297297297296295295296294293294294293294294294294294295294294295294295295294295294292293294294294294294294294294293293294294292294294294293293293293294293293293293293293292292293292291292291291291291291291290291290290290289289290290291290290290290289290290289289289289289289290289289288288289288288289288288288288288289289288289288288288288288288288289288289289289289290289289288289289289289289289289289288288288288287286286286286286286285285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290289291295298299298297297298299298296296296295294293292291291291291292291291292291293293294296296295296294293294293293292292293294294291290292291289290289291287290288286285289287290290290290292292291293292289289289290290290291292293289290290295291289289289289287288290291293292290291293291290290289289290292294294294289293292292291290293294295300999999999999999999999999999297296293294297297296298297297297296299292293293294294293293295295298296298298299299298301301300299300300299301301301299301301300299301301300300299302302302302302302300301301302301303302301303302301300301300302301301302301301301302303303304305303302304304302303302300303302302303303301301302302302302303304304303304303303304303303304302305304303303303303303304303304304304305305306306306306307306306306305306304305304304305303303305305304303303303303303301301300299299299300298300299300300300301298298300301300299301302303303303304303302305302303303303303302303303303302302302301303302302303304303303304305305306305305304304305304305304304303301304303303302302301302303302304303306305305304306303304305305305305307306305303304304303304304303303304304304306306306306304304305306305307306305304306305306307309306304303303305303304303304304305304304304304305306305305304303304303304304305304303303303303303303302302302301302304304304303304305306306306305306305305306306307304305306305305305305304305305305304304305305306305305305306306306308306305306305306306305307306305306307306304304303304304304304303299302302302301301301299298300301301300303301301302301300301300300300300300300300300299299300301299300301299298298297298298297299298298297297297297297298297298298297297296296295295293293292293294294293293293295295294295294294294295295295295293292294294294294293293294294294294293293294294293293294292292292293294292295293292293293292291291292292292290291291289290290290290290290291289289290290290290289289289290289289290289289290290290289289289288288289288288288288288287288288289288288288288288288288288287288290289288289289290290288289290288289289290290289289289288288288288287286286287286286286285285285285285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284290293295298299297297297297298297297297296294292291290289289288290291290290290289290294295293294295295294294293293293291293293294292292291296293291288291292291290289287288288290283290287290290290291292290289290289290291291289290293285290290294291289289290289288288290292292291292292291290289289289289288290292291291292291289287290290292293298999999999999999999999999999999297296295297299297297999999999999298296292293293295294294293296295296295298298299299299299300299300299301301301300300298301300301300301303300301302303302302301302302301300300302302303302302301301302300302302303301301300301301303303302302302303304303303303302302301301301301301300299301300301302302303302303303303304303303303304304303301302301302302303303303302303303304304304303303304305305307306306305303301301304303304304303302304304302302302301302302303300301301299299300300300300300300300300300299300302300299301303302305303305304303304303302301304304304302302303301303302302304301302301303303305304305304306306306305306306306305305305304303303302303302301302302304304304304304304305304304303306304305304304305305304303303303303304303303303303304304304304304304303304305305305305304305304304305306305303306305304303304303302303303303303304305304307306305305305305304303304305304304304302302303305302302302301304305305303303305304305305306306306305305305306303307308305304304304304304303303304304304304303304304304304304305306306305305305306304305304306305305306307303303304305304303304304303303302302302301301301301298298298300301300299299302300300299300300300300300300299299300298298298301299299299298298299298298297296297298298297296296297297297297298298298296295296296295295294294293295292294294294293295294294294294293293294295295294294292294294295293293294295295294294293294294291292294293292293292293293293293292293292292291293292292292292291291290290290290289290289289290288289290290291290289290289288289289289288289289290289290288288289287288290289289289289288289288289288288288288288288288287287287288289289289289289288289290290288287289289289289289289288288288288287287287286286287286285285286285285285285285285286285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287292294295295296296298298299298297297295292291289288289290290289289290289289288287287291295293293292295293292291292293294295292292293292293293292289291292289288288287288287292290287288288292292292290288290289290290289290292292289293292291290293290290291291289288288290291290290291292290289289288289290285287290290290293294287287290291292292999999999999999999999999999999999294295294291293298999999999999999999295295293294293296296297296295296296299297297297298299299299299299301300300299297297299299300302301300300301302301301300302302301300301301301301304302303300300300301301302301302301301300301300300300302302303303303302302302302302301301301301300301302302302303304302303303302303304303303304303304302301301300303302302301303302303302303303303303303304304305305306306303302300302303303303303303302303303305302303301302301302304301301300299300301299299299301301300300300300302302299301301302303304304304302302302301301301303299300301301298301300302302299304302304304305305305304305304306305306304305307306304303303301302302301302303303302302302304306305303301303304304304303303304304304303303303303303303302303303303303303303304304304303304304305305304304302304304305303302303304304305303304303303304304302304304306306305304305305305304305304303304304303304303303304304304304303302303306305306305305306305306306306306305305305306305306305306305305304304304303303303303304304303303303303302304305306307305305305304306306306306306305307303303305304304304305303303303302302302301301301300300299298298300299301300299300301301299298300300300299299299298298298298296298299300298297297297297297297298297296296297296297297297296297296295297296295295294294296294294294293293294294294295294295295295294294293294295293294293293294293295294294294294294294294294293294293293294293293293293293294293293293293292292292292293292292292292291290290290289289289289290289289289290290289289290289289288288289289289289289289289289289289288288287288289289289289289289289289288288288288288288288288288287289288289289289290290289288288289289289289289289288288288288288288287287287287286286285285285285285285286285285285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288291294296296297298298299298297298295293290288288289290290290288287289291290289287288292292293293292292293292292292292296295294293289292292294296294293294291286286290288289290290289289284292291293289289292290290290290292292292292293291291292290290291291289288287288290290289288289291291289289289288288289290289291292293288288289289290291291999999999999999999999999999999999999292293298296999999999999999999999999293294294296294297297298297296294297294297298300299299299298299301299301300300300298299302300299298297300300300299301301302301300301301302302301299301300301300300300299301301299299299299299300300301301302303304301302301303302301301301301301303303302304303303302304302301303304303302303303303303302303304302303302301303303303303303302302302303304304303304305303302301301303304302304304302303302302303303303303300302302303304304302301304304301297300301301303301300304301302302303301303304302301302301301302301300300302299300300300301302300302301302302303303304306307306304305306306306305304305305305303302303301302302302302303303302303303304305305305303304305303303302303303303304304302304303303303302302302303304303303304304304303304306306304302303303304303303303303303304303304303304304304303302303304305306304305306305305306305305306304304302305303303304305304304305305303303304305306305305305307305307307307307305305305306305306306306306305305304304303304303304305303304304305305308308302305304304305304306306306303306305302302303305305304305305304303302302301301301301301300300298298298298299301300300298300300301300300299300301299298300299298297297299298298297297297297297296295297297297297296295296297297297296297297296296296295294294295295295294294295293294295294293295294294295295296294294295294293293293293294295293293294294295294294294294293293294294292292292294293292292292292292292292293292291291292291291290290290289289290289290289289289289290290290289289289288289289289288288290290289289289290289288289289289289289289288289289289288288288288288288288289289289288288288289289288288288288288288288288288289289288288287288288287287287287287287286286285285285285286285285285285285285285285285284285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285290293293293297299300300299298296293289289289289289289289289289287290291291290289289290287293294296294295292293292293294293290294291290292293290290290294293288287290289288288288289288287293292287290290292291291290289290292292290294290291292295291291291288289289289288290290288288290289289289288288289289291290291292292288288289290292291291999999999999999999999999999999999999999999296296999999999999999999999999999293295999295298297300295294298999999295298299299300300299299299299300301300298298299300298299299298298300300300300300301301302303303302301301299299301302301301300299301299300301302301300301301302304302303303298302303303302302302302303302303304301302302303303302302300301300300303303303303302304303302301302302303302303302303302303303302302302303303303303303303300302302303303302302303303302303303304302302303304302302304301305306299301298301298304299302299302303303303304304304303303304301302303301302301301301301301301301300303302300303301302303304304305305306305306307305307305306305304305305303303302302302304302301303303302302302303302305302304304304304303303303304302303303303302303302303303303302303303305303304305304303305305305303302303305304303304304302304304305305305304303304303304302303304304305304305305303304303303306304304303304304305304304304305305306304305304305305307306305305306305307307306305305307305306306305305306305305304304304304304305303304304304302307307307305305304305304304305305305306305306305302303303303306304303303299302302302302302301301300300297299299299298300300300300300300300300300299299299300301299298298299301298298297297298297297296296297297297297297297297296296297297295297296295296296295295295295295295295294294295295296295294294292295295295296294294294295293294294295293294294295295295294295295294293293293293294294293292293292293292292292292293291291290292292292292291291290290290290290289289289289289289290289289289289288289289289289287288289289289289289289288287289289289288288288287288289289287288288288288288288288288287288289289289289288288288288288288287288288288289288288287287287286286287287286286286286286286286286286286286286286285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291294295298299299300299300294291289290290289289289288288290287287289290290288288288287291294294293294294293292295294293294299291293290291292292290289291289288289290288288289289288290290291290288291291291291291289289291292290288290291291290288289290289289289289289290289288289289289290291288288289289291291289291291289289289290292292290291288292999999999999999999291290293291999999999999999999296299999999999999297294999999999999999295294297999999999296300302299299299299302299299301301300300299300299299300300301298300299300301301301300302303302302301301302302301301301300300299300301300302301301303303304303303303302301301304304301302302302303303302303302303302303304302301301300300302301303302303301303303302302302303302301302302304304304303303303303303303303303303305302302302304304302301301301303303303303302303304305301302301302303306301304301300302304301304301303303305303306305305303303303302303303304303303301300302301299300302301302300302301301302301302302303302304303304305305306305305303304305303302302302303304301300303303302302302302302303304302303305303304304303303302303302303303302301303303302302302303303304305305305304304304304304302303304304304304304303304305305304303304304303304303303302304303305304306305303303302303307305304304304304304305305306305306306306306306306305305306305305305306305307306306306306305306305305305306305305305304303304305303303304304304307306305306305306305306305304306304305306304304304302304304303305303302303303302302302302303301301300300300300299299300299300301301300300300300301300300298302301299299300301298298298297297297297297297297297298297298297297297296296295296294296295295296295295296296296295295295298297295297296295295294295295295296295293294294295295294293294295293294294295295294295294294294294293293293292292293293292292292292292292292291291291292291291292291291290289290289290291289289288288289289289288288288289289289289289288288288289288289289288288288288289288288289289289289289289289289288288288288288288287288288289289289289288288288289289288288288288288288288288288287287286286286286286286286286286286286286286286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294293294295300300300301299297293291290289290291289289289289289289288287287288287287287289289292294295296295292294297296298297294289291287291291291291292290289290289288287288291288288289290290290289289289289289290288289291291289289290290292290292291291290288289288288289289288289289289290290290290290291292291291289289288288999999290290288288289291290999999999999292292291293292293295999999999999296297297999999999298296999999999999999999299296999999999299300298300300300302297300299300301300299299298299299299300300299300298300301301301301301301303302302302302301301301301300300300299301301302302302302302302302302303302301300300302301302301301302303301302302302302303304302301301302301302302303303302301302302304303302303303302300302304303304304304304303304303305305304303303303304304303303303302303302303303303304303303304305302303303303305306305306301305305304304303304304305304304305301303305304305304303302303302302302301302301302302302299300301304303302303304300303302302304303305305303304304303304304304303303303302302302302303302302301302302302303304303303304304304304302303302304304304303302303304305300301301303303303305304303305305304304304304305307306305304305305306305305304303304304303303303303304304305304306306304303303303304305303304304304305305305306305305307305306307307306305305305306306306306307307307306306306306306306306306306306305304305304305305304304304304303307306306307306307305307305304307306306306305305303302304303303303303303303304301303303302301301301300300300300299299299301300300301301301301301301300300300301300299301300299298299298297297297297297297295297297297297297296297296296296296295294295294296294295296296296295294295297295295295297295296294295296295296295295294294295293293293294294294295295295295295295294293293294293293293292293293293293293292292292292292292291291292291291292291291289290290289290289290289289289289289290289289289289290289289289289288288289288289288289288289288289289289288289290289289290289289289288288288288288288288288289289288288287287289289288289289288288288288288287287287286286286286287286286286286286286286286286286286285285285285285285284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294297299299299302301298293291290290289289288290290291288288288288288287289287287287287289291292294292293290292294296294296291291288290290292292292293291290290289288288288286289291290289289288289290290289289291290290290290290291291291290290293290291290289289288287288288289288290290290290290288289290290291290290289288289289287288290290289289288290289999999296295295293292292294296298999999999295297296999999999999999999999301300299297298296999999999299300302302300300303299300302300299299299298298299298298299299301301301300298302300301301302304303302302302301301302301299300300300301301303301301301300301302302301301302300301301301301301301301302301301302302302302301301300300300300305302303304302303303305303303302303303303302303302303303304304304304304306305305303303303304304303302303304302303303304303304303303304305306304303302305300304306306304304305302304305301302303304304304302304304303304304303303302304303303301302302302303299298300300303303302301302301299303302302303305305303303304302304303305305303302303303303302302302301302303302302303301303304303303303304302304304304304303304304302305303302302303304305304305303305306305304303304305306304306305304305305305305305305305304304304303303303304302304304305304302303303303304305303305305306305305306306305306307306307306307306306305306306306306306307308307306306306305305305309306306306305305304305305305304304304306304306307306307305305305305305304306305305306303305304303303302303302302303302303300303299298301301301301300299300300301301301301301303301299300299301299298300300298298299301299299298297297295297297296297295297296297298297297297296296295295295295295295295295296296296296295295295295296295296296295295295296295295296295295294295294293294294293293293294295295296294294294294295293293294293294293294292293294292293292293292292292292292293292292292290290290289289290290290288289289288288290289289289290289289289289289288288289289289288289289288289289289289289289289289289290290290289288288288288288289287289289289288288288289290289289289288288288288288287287287286286286287286286286286287287287287286286286286286286285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292295298297300300301302297293290290290289289288289289288287286287287287286287286289289289288289292294292292291293296295294295291291291291292293293292292292289289290289288287288285286286287288288289290289290289289291289289289290291290289290290293292291289289288288288287288291290289289289289289290290290290290290287290288288289287287289289289288289292291292297296298296294292290295296296295999999999293295295999999999999999999299300300299299298999299296301301301300299300299299298300298299300299299298298298299299300300301300300300300301301302302302303303303303303303302301301300301300302302302301301301300301302302302301300299300300300300301300300302301304302302302302301302301300301305303302303303304303302304304303302303303304303303302304304303303304305305305305305304306304303303302303302304303303303301302301302302303305305303304303299301302302299302301301302305305302305306304302302303302304305305304303304302302302301302302300301300300302302300302302302302302301302303304303302303303305303303303303304302303304305304303304302302302302303303302303303303302305999302303303302303304305304303303303304304304303303303305304304304304306305305304304304305306303305305303306305304305305305305304304304303302303303304305304303304304303303302303304305305304305305306307306305306307307306307307306306305305305305306306307307307308306305305305306306306305306306305305304304305305305306306304306306307306306306306305305304303304305307302305304303303302302302302303302300298301300299301301301301301299299300301301302302303301301300300301300300302300298299300298300299298298297297297297297297296297297297298296297297297296296296295296295296295295296296295295296295295296297296296294295296296295294294295297296296296295294293293294293293295294295295295293294294294294293292295294293293294293292293293293293293292292293292292291292292292292289290290290291290290289289289289289289291289289289289289289289289289288289288288288288289288288289289289289289290290290289289289288289289289288289287288289288289288288288288290288289288288288288288288288287287287287287286286286287287287287287286286285286286286286286286285285285285285285286 999999311310308307304307298303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295298298300300301299296293290289288288288288287289288287287288286287287287288290289289290289292290291292292294291294295294294293290294289291293292292291290288290289288288287285286286287287288289288289290289289291290290289290291291291289291292293290288288287287287286289290289287289288289289289289289288291291290288288288289286999999999999999999999290292297298299297293292999999999293295294999999293293294295296299999999999999999300298300300299297298299300300299299302300300299299299299299298298298298298298302301300300301302301301302301301303303303304303304304302302301302300302301302302301302302300302301302302303302301300301299300300300300300300302301303303302302300301302304305303303304305304304304304304301304302303303303304303304304304304304305306305305305305304305304303302302303302302303303303304303304303303306304305305303302302302301302302305305302302305305299301301302302301302304304305303304302301304302302302300301302302300302301302303300302300299299299303304304303304305304303302302304303304304303304304305306304303302303301302303303302303302300999302302303303302305303306305304305303304303303304303302302304304302305305304305305304307304305304304305305304305305305305304304304305304303302304303304305304305304304304303304303306306305305304305305305306305306306306306307307306306305305307306307308307307308307310310310306308306307307306306306305305305306306306303304302306307307307307306304306304304303303304303303305303304303303303301301301301302299303300298300301301301301300298300300301303302301303301300299302302301300301299300299298300299298298298297297297297297296297296297297296297297296296295295296296296295296295295295295295295295296295296297296296295296295294295294295296296295294293293294294293294294295294293295295295294294294294293293293293294292294293293293293292292293292292292291291291291291291290291291291291290290289290289290289290289289288289289288290290289289289288289289287289289288288288288289289289289289290290290290289288288288289288288288288288288289288288289288288289288289288288288288288287287287287287287287287286287286287287287286286286286286286286286286286285285285286286286 307303305306306307304303307303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291295298299300301300298294292291290289288288287287288288286287286287286287287290290290289290291290293290291292291292293295296295292297297295291293293293292290288287287289291289285285285287287287287289288289288289291289290292290291292289291292292291289289289289288287287288289288287288288288287288289289291290289289288288288290288289289999999999999999999999287296297297296294999999999291291292292999999291294297297298999999999999999300299300298300297297299299297299299300301300300300301301300299298299299299299299300300300301301301300302303302303302302301303303303303303302302301301301302301301301302301300301301301301301302301300300300300300301301302302302303303301301301300305305306305305304303302301302302303303303303303302304303304304305304306306306305305304305304303304302301302304303303304303304303303302301304304304305303303305303303302302303304303303302303302301301302302302302303302303304304304302302301303303302301300302302302302302302301302300300299301300301304303302304304303305306304304302303303303304304302306306303302303304302302303304302304301999999302302301302301304304304304303304304304304304304304305304305304306304304303305306305305305305304304302305304304305304305306304303304303304303303304304302303307305304304304305304307305306305306303304304305304305305306306306306306305307306306305307308308308310308305309310307308306307307309306306305306305305306303304304303306307306306305305306305305303304304303306304303304302303302299300300300299303302300300300302299298298297299296300300301302302301301301301300299301301302301301302299299299299298297297296296296297296296297297296297297298296296295295296295296296295294296295296296297296295296295296296295296295296295294295294295296295295294294293294294293293293294293293294295294295295294294294294293293293293293293293292292292292293292291291292292291291291291291290292291291292291291291290289289289289288289289290290289290289289289289288288288289289288288287288289289289289290289290289288289289288287287288288287288288288288288288289289288289289289289288288288287287287286286287287287286286286286287286287286286285286286286286286286285285286286285285285 302299301303303302301302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294297299301300300296294292290289288288287288288288287286286285287288288287288290291290291292292290292292290291293294297294295292297293295295294294292294293292288286289288286286286285286287287288288286288288289289289289291292290290290291291292292289289288289289286286285286286286288286289287288288289290290289288288288289289289288288999999999999999999999999294294297296294291999288290290291291999999288295296296298299999999999999999298297298299299298298299297300300298297299299300301301300299299298299297299299300299301300300300300301302302302303302302302303304302303302302301302301301301301300301302301301302301302301301301301301301301301301301302302303303305304304303304304304305305304303300301302302302301303303301302303303304304304305305305306306305305304305303303303303301303302304302303301304302302301301301302303303305304305304302304305304304303303302302301302303303303302302303303303304302303303303302303303302301302303303303302302302302302300301299300301302303304303305303303304304303302303303303303304304304306305304303303303304303303303303303301300303303302302303303303306305304305306304304304304305305306306305304305304303304305306305303305304306303304305305305306306305304304305304304304304303304303303303302301303304304305306305306305305307304305304304305305306306306306305305306306306306308307305308310310305306307307310308306307307308305304304304304304304304305303307306304306305306305305302304303305304303305303303304300303300299299299299301302300299298299299299299299298301301301301301301302301302302301301300301302301300300301300299300297298297297296296297297296297297296296297297297296296296296297297296296296295296295296296296295295296295296295295295296295296296295296295294295295294294293294294293292291293294293294295294294294294294294294294293293293293292293292292292292292291291291291291291291290290291290291290291291290290290290290289289289289289290290290289290289289288289287288288289288289289289289289288289289289288289289289290290289288289288288288288288288288288288288288288289289288290289288287287287287287286287287287286287287287287286286286286285286286286286286286286286286286285285286 999301300301300298301302298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290295297299300301300295293292291289289290288288288286287287288288288291290290289291290289290292289292289289290290290293294293293296294293293293294294293291294291290287290288288287286284286286287288287288288288289290290291291290291292292291291291292290290290288288288288288286286287288287287288288288290290290290289289290290290292292290287290999999999999999999296999297295293293291291290290291292294295293293295296297298999999999999999299297299298297297296300301299300298298299299300300300300298298298299299299299299300299299299301301302301302302302300303302302301302301301302302302300301300300301302300300300301301302301300301301301300300301301301300302301304305304305302304304303304304304302303301301302302301303303304303303303304304306307305305305305305305303304304302303302302305303303304303303302301302302302302303301303303303303303302302304304303302301301303302301302303303303303303303303304303303304304303303303304302304304304303302301300301302301301300301301300304303304304304304305305305304302303304305302303303305303302303302303303303303303304301301302302302303302303304304303305303304304303303305304305305305305303305304305305303303306305304305304305304304305306306306306305304304305304304304304304304304304303302301303304304304305306304305307306306305305305305306306306306305305305305306307306307305306309311311306307307307309310307307306306305304303303304305304304304306307306306305302306305303303305302303304302303303302303302301300300300301301302299301298298298300301298298300301299300302301304304302302302303302300301300298301302300300300298297296298297297297298298297296297297297297297296295296298297295295296297297296296296295296296296296294296295296295294295295296295296296295294294296294294293293294294293292293293293295294295294295294294294293293293293292292292293292292293292292292292292291291291291290290290291290290290290290290290291290290290289289290290291290290290290290289289289289289289289288289288289290289289289289289289289289291290289290288288288288288288289288287289288288288288288289288288288288288287287287287287288287286287287286286286286286286286286286286286286286286287286286286286287 999300300302300302302307302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292296299301301300295294292291289288288288288288286286288289292292292292291291291291289290290289290291293290290289290293294294294294293292292293292292291291291292289291290289287285286285285286286287289288288289290291292291290291291290290291291291289290289289288287288288287287287288288286289289289288290290290290288289290292293293290289290999999999999999999999999295294293292292291291291292292294295295295297999297298999999999999999999999301296298299296299299300300300299300300301300300299298298298298299299298298300300299299299301302300300302300301302302302302301301302302301302300300300300300300300301301301301301300300301300300300300302300301302303303305301305303303304304304305302303302303301302302301303304302302303304303304304305306305305305305305304303302302304303302303304304304303303303302303303302302303303301303304303304303303303304302302301300300301301302302302304303303304303303303302303303305304303305304303304306304303302303301301298300302300301303303303303303304305305305304305305305303302303303304304304305304302302304303303303302302304303301302302302303303305303304304302303304305304303303304304304305304305305304303303303306302303305304303304305306306306306306305305304304303303304305306304304303303304304304304304304305305304305307307304305306306306306306307306307305305304306306308306305306306309305311308306311310307306305306305304303303304303305304303303305305307305305305304302303303304303303301302303303299303301301300300300299301301297298298298298298300299298298299299300301302305303301302302304303301300299298300300300299299298297298296297296297297298297297297296296297296296296297296296296297295297296297296297296296296296295297296296295295295295295296296296295296295296295295294294293293294294293292293294294294294294294294294294294293293293292291293293292292292293293293292291292291291291290291290290290290289292291291291291290291291290290290290290290290290290289288289288288288288289289289288289289290289289288289288288289289288289287287289289288288288288289288287287287287288288287288288289288288287287287286286287286286287287286287286286286286286286286286287287287287287287286287287287 999301302302303299301305302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291298301302299300294293293290289288288288288288287287288288291291292292292291291291291291290290289289293289290289290292292293293292292294293292293293291291288290289289288288287286286285286286287287287289288289291293292292291291291290290291290291290290290291289290290288289289288287289287289289288290289289290290288289290291293293293294293291999999999999999999999297295294292291292291291294296295295295297298298296298296293999999999999297999295295297294297296299301302301300300300300299299297299298299299299298299299300300300300301300301301301301301302302301300300301301301301301300299299299299298299300301302301300300301300300301300301302302302303302303302303302302302302305304304303302303305302301302302302304303302302303304303304303303305305305305304304304303302304303303302303303303304303303302304303303303302302303302303303301301302303302302303301301301303303302302303304303304304303303304303302303303302305306304304305306306303302303302300300302301300299302302304303303304304305306306302304304303303304304305305305304304303301302302302302302300301301303304302303302302304304303304303304303304304304304304305304304306306305305304304304303304304305305303304304306306306306306305307306304303304304304305304303305304304304304304304303305305304306305306304305304305305307306308306307305306307305305307306306308310309310310310310310310307306305305304304303304303303303304305303305305304304304305304303303303303303300303302302302302301302301300300301298301298298300300298299298300299299299299300301304303303300301303302303303303300301298302300299298298298298298299297297297296297298296296297297296295296296297297294297297295296297297297297296296296296297296296296296296296296295296294294295295296295294294294294294294294294294293293295295294294294294294294293293293292293292293293293293293293292292292293292292291292291290290290291290291290290290291291291291291291290290291290289290290289288289289289288288289289289289288289288289289289289289289289288289289289289289288288288287288288287287286287287287287288287288289288287288288287287287287287287287287287287287287287286286286288287286287287287287287287286287287287287 299303303305303299301299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291297299300300297295293294291289289289287287288287287287290290291289291292293290291291291292292289289290289291289291292293292293291293292291291292292294292290291289286287287287287287286286286287288288289288290291292289291292291291290289290290290290290289291289292290289291289288290289289289288289289288288290292291290291292292292291293293295999999999999999999999297295294293293292291293294296296296296296297298297297295293293293292292298999293295295292293296296297299300299296301302299299300298298298299299299299299299300301300301300301301301302302301301301300299299299300301300299298298298298298299299300301301301301300300300301301300300299299301302302301302302303303303303304305304303302303302302303302302302304302303303303302303302303304304305304306306304303302303303304303303302303303304303302302304303302302302302303302301303303303302301303304303303303303303303303305304304304303302302302304303305304303305305303305305306302302302303305301301301301301301300302303303304304305306306306303304302303303304304306305305304305303303301302300300300300302301302304301302303302302303303304305304304305304303304304304305306305305304305303305304304305304305305304305305306306305306306305307304304303304304304305304304304305304304304304303303304305305306306306304304304304304304303306304306305304303305306308308306309308308309305309311310308307306305302302304304303303304303305305305304305305304304304303302300303302301301303303304302302301301301302300301300297297298299302299300300298300300299299301299302299299300301299301302304301300299299300299298298298299299297298297297296297298298297297297296296296297297296296297297297296296297297297296296295296296296297297297297296295296295296296295295296296296295294294294294293294294294293294294294294293293293294294293293292292293293292292293292293292292293293292292291292292292291290290291290291290290290291290291291292292291291291291290290290290289288290289289288289289289289289289288289289289289289288289290289289290290289289289288288288288288288287287287288287287287287287287286288287287287287287287287287287287286287287287286286287288286286286287287287287287287287287287287 299301303304299298299299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291295298299300297295295294292290289288288289289287286289289291291291291289291292292290292289289290291290291291291291291292292292292293291290293292292293291293286288288288287287287287286286287287289288289290291291291290290291291293291289290290290289289290289291290288290289289289290290289289289289291289291290292291292292293293292291294294292999999999999999999999298294293294293292292294295296297296296296297298299298296294295293292999999999294293292292292294295295297298298298299298300299299299298298298299299299299298300302300300300300300301301301302300301300299299298299300300299298297297298298299299299301302301300300299299300300299299298299298301301300301300302302303303303303304303302302302301302302302303303303303302302302301302301303304304304306305304303302301302304303303303303303302303303303303302303302302302301302302304304302302302304304304303302303304304304305304303303303302305304305305304304305305305305304305305306304302303301299301300301300302302302303303304303305304306305304304304304305305304305304306306302303302300300302300299299300301301304299301302301303302303304304306303304304304304304305305306305304304305304305304305305305305305304306305306306306306306304304305304304304304305304304305303304304304304303302303305302303305304304305305303304305304305304305305305304303303306307308303304309307305304305309308309308303301302302301302302301301304302304305303303304303304304302303300303303302301302301302301300302302301300299301301298297300300301302300301299300299299301304300299298303298301302302301299300301299300300298298298298298298300298298296296296297299298298297298297297298297296296298298297296297297297298297296297297297297297298299297297296295297296296296296295296295296294294293293293293294294293293294294294293293294293293293293292293292292292292292293293293293294293292292291291291291290290290290290291290290291291291291292293292291291291291290290290290290289289290288288289288288288289288288289289289289289289289289289290290289289289288288288288289288288288288287288288288288288288287287287287287287286286287287288288288288286287287286286287288286286287287287287287287287287287287287 299300298301299297296296300999298299299999999999295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296290293298298298297294294294292291290288288287288289288289289290290290294294291289289289290290291289290291291292291290293292291292293292292289293293291290290291290289290288287285286287287286287288289287289289290290291290291291291292291291291292292289289289289291290291290291289289289288289288291290289290291289290291290291290293292291291291291290999999999999999999295295294293292291292293294294296295294296295295298297297297296294292290999999292289286289291292291291296297298299299299299299299299299299298299299299299299300299299300300300299298301302301300301300299299299299300299298298297297297298299299300300300301300299300299300299298298299301300301300301300300301301301302303303301303304302303303303304304303303302303302302302302302302303304304304304305305303302302302302303304303303303303303303303302303303302302302302302302303302303302304303303303304303304304304304305305304304304304305305305304304305303305305303305305305305304304304301301301303301297299302303303303304304303304306305304304304304304305304304304303303302301301301300300300302300301302301300298300302302303303303304303304304304304305304304306305305305305306305306306305305305305306305305305306306305305306305306305305305305305304304304304304304304304304304303303304305304304304304305304304305304303305303303303304304303303304305307309303309309306306305309305307306306304302303302300300302302304304306306304302304305303305303303302304302302302301303300302301301302302301300301299300298297299298301301301300300300300299304299301301300298299299300301301298300300300300299298298298296298297298297297297296296297299298297297297298296298297297296298297296297296296296297298297297298297298296299297297296296296296295296295295294295295295294294292293294293293294293294294293294294294294293293293293293293292293293293293292292293293293293292292291291291290290290290290291291291291292291291291292294292292292291291290291290290291290289289289288289288287288289288289289289289289289289289289290290289289289288288288289289289288288287287288288288288288288288287287286288287286287287288288287287288287287287287287287288286287286286287287287287290288286287288287 299297296296297296295295298301297295297298296296296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294295295298299299297294293293291290289288288288289288290289290291291291292292295295291292291291290289290290291292291291291293292293293293293293293291288290290292290289289287286286286287287287289289288289289289291287290289290290290291290289291291291290289289291291291292292291290288289288290289289289289289289290290289291291290293291290291292292293999999999999999999293294294293292999293293293294294293295295295295297297298299297999290290287999289288293294294295296297295999297296298298299298299299299298299299298298298299299299300300300300299300301299300299300300299299300300300299299298297297297298298300300300300301300301301300299298299299300299300300300301300300301301301300300302301301302302303304303304303302302303303301301302302302302303304304303303304304302303302302302303303302303303303304303303303303303303303302302302303302304303304304302305304304304304304305304305305304304303304305304304304306304304305305302305306306303303303304303305303302300302302302303303302304304303304306305303303304304304303304304302303302301302301300301300300301301301302301302300303304304303303304304304305305304304304305306306305306307306305305306304305305305303304306306305306306304305305305305305305306307305304304305304305305305305305304304303304304304303304304303302304304303304303302303303305305304302306305306307309308308304306306307306308303304304302302303301304302302303305305304304300305304303303304303303303302302302302301301301302301302300301301301300300299300299299302301299300302301300299302300302302302299297297299299300300299299296298298298298297296298298298297296296296297298299298297298297297297297298298297298299297297296297297297297297297297296297298296296297296295296296296296295296295296295295293293293293293293293293293293293294294294294294293293293293293293292293293293293293293293293292292292291290291290290289290291290291290291291291291292291292293292292292291291291291290290290292289289289288288288287289289289289288289289290289289290290290289289289289288290288289289288288287287288288288289288287288287287288288288288287287287288288288286287287287287287287286287286286286286287287287287288288288287288288 298298296294294295296297296296297297297297295296296297298297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296297298298297296293292292290290288288289289289291290290290291290293291290292293292292292290289291290291291290291294293293293292292292292292292291291291291287289289288289288288288286287289290289288288291290287288289290291290290291291291290291290291290291289290291289290290289290287289290289290288289289289290290291290289291290291291291291292293999999999999289292294294292291999293294294294999295296296296296295296999999296296999291289285287287999999999999999999999999999999296298298299299300300298298298298298299299300300300299300300299298301300300299299299298298298299299298299299297298298298299301301301300301301301300300299299299299299299301300300301300300301300300301300301301302302302304304301303302304303303302301302301301301302303305303303303304303302302303303303302303302304303303303304303303304303303303303303302303304304303304304303303304304304305304303303303305303302304304306304305305303304305305305305305306305305304304305304303304301301302302301302303303304303303303305304303303303303303302303303302301301300301301299301300300300300300301302302302304305304304304305305305304305305305304305305305306307306306305305305304305305304304305306305306306305305305304305303305307306306303306304305305305305304304302304304304304304304305304303304304305305304303303302303303304304304305302304305308308308308308304304304304305303303301301301302302302302303305300303301307305306303303303303303302300301302302303303301300301299301303301300299300301300300300301302301301300302303302303302298300302300301299298300300300299299299298298298298298297298297297298296297297297297298297297297297298298297299298297298298298297296296296296297297297297296297297298296297297296296296297295295295295296295295294293293292293292293294293293293293293294293294293293293294294293294293293293293294294293293292292291291291291290290290289290290291290290291292291291291292292292292292292291291290290290290290289289289288288288289289288289289289290289290290289290290290291290289288288288290288289289289289287288289288288289288288287288288288288289288288288288288288288288287287287287287287285285285286286287287286287287288287287286287288 297297295294295297297296295296296297297297296296296295296296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293294295297297296296295293293292291290287286288289291292291290293292291292291291292290293292291292291291290291291290293294293294294293292294293290292292291292291290289288287288287287287287287287289288288289290288289288289289290290291291292292291291290291291291291290290289290288290292290290290290290289289290289289289287289289287288291291290291291290288999999999289290291293291999999293294294293999999294294295296296296999999999295295291289287287294999999999999999999999999999999297297300299300300300300300298298299300300301301300299299300299299299299299298299299298298297298298298297299298298297298300300300299300300299300300298300298298300299300300299299300300301301301300300301301301301302301303303304304304303302303302301302301302302302302304304303303303302302303303303303303304302303303304304303304303304303303303304303303304304304304303304304304303302303304302303302302303302301302305305305305301304304305306307306305307308306305306306304303302302303304304303304302304303304303304306305303303303302301302303303303302301301300300300300300300302301301301301304304305305304304304305305305306307306306306305306306307306306305306306305305304303304305305305304306305306304304305305305305307306306306305306305305305305304305304305305305304305304304305304305304304305305303305304304304304301304304305303304308307307307305303304304305303302301302302302301303303301303303302305303303304304304303304304303302301302302302302303302299300300302303300300300298300301300301302301301301302302302302301301300301304304299298298299299297299298299298298299297298297299297298298298297297297297299297296296297298299300300298298298298297296298296297296297298297297296296296296297296298297295297296296295295295296296294294293293293293293294294293294294294294294293294293294293294294293293294293293294294292292292292292291290291291290290290290290290291290291291290291291292293293292293293293293291291290291290290290290288289289289289288288289289289289289289290290290290290290290290288289289289288289289289288289289289288289289288289288289288287289288287288288288288288287287288287287287287286286285285286286286286287286287287286287287287287 296294293293294296296296296296296296296297297296296296296296296294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293295295298296295295294294292291290287286286290291290292292291292291290290291292292291294293294290291291291291291292293294294293291292293294292291291292292291291289290289286286286287288289289289289289288289291286288289288289289289291291291291291290290290290291292290291290291291290291291290291290291288288290290290288999286289288290290290291290290289288999999288288292293293292291292293295295294294294295295294294295999999999999999294291289288290293296999999999999999999999999999999297299300301301299300299299300301301300300300299299298300298297298298298298299299298298298298298299299298298297297298299299300299300300300300300299299298297298299300299300300300300300300300300300302301302303302302303303303304303302302301302301302302302303303303303303303303301303302303302303301302302302303304304303305304304304303302302302303302304304303304304303303302302302302303302302303301301304301304306303303305304302303305306306306305305307307307306306305305302302304303302304303304305305304305306307305304304302302302303302303302301300300299300299299298300302300301301302304303304303305305304305307306306307307305306306306306306306306305306306305305303304305305305304305303306305304303303304303304306306305305305305304303304304305305304306305305305306304304305304303305304302305304304301306304305302301303305304306307306305307306305304304302304303301301301302301302303306306303304303303302303304304303304304302303302303302302303303302303300300301301301301300300299301300301302301300300300302303301302302301300302301300300299296299299295299299299299299299299298298298297297298297297298298299297298297297298300299300299299298298298297297297298298297297298297296295296297297297296297296296295296295296296295295295294293294293293293293294294294293294294294294294294293293294294293294293294293294293293293293292291291291290290290290290291290291291292291291292291291291292292292292293292292291291291291290290290289289289289289289289289289289289289290290289290290290290290290290287289289289289289289289289289289290289289288288288288288287287287287287287287287287288287287288288287287287285285286286287286285287286287286286287287286287287 298295293294294295296295296296296296296297297297297297296295296293295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293294296298295294294293292291291289288286290291291291292292292292291290290293293292292293293293292292290291291292293295295295293294292292293293292291291291290291291288286287286287288288289289289289290290290290289289289289289289289290289290290289289288291290290289290291291291292290291291289289289290291291291292288288999999290291290290290291291291289290290290291290291292292291291291293294296294296294294294294295295999999297298999999999289290291291294999999999999999999999999999999999299300301301300300300299300301300300300300299299299298299297298299298299299299299298299298298297299297296297297298298298299300300299300300300300300298298300300300300301300300300300301301301300300300302302302302304303303303302302301301301301302302302303303303303303303303302303302303301302301303303304304304304303304304304303304303303302302302303303303303303303302303303303301303302302302300303300303304303304304303303302303304304306306306306307307308306307305304301304304303303305304304303304305306304305305303304303302300304301300302300300301298299300299300301301301300302303303303304303304306305305307307307305304304304306306307307306306306306306305305304306305305304304304304305304305306307306307306306304305306304304304304304303305305305305305305305305305304304303304304305304304303303304306304303302303304303302304304303304306305303303304302303304304301302301303302304307303303304302302302302303302304303302301302302303302301303303302301300300302302300300301301300302302300301301301301301302302301298301300298303301300300298297300299300299299299299299297297297298295298297297297297298297296297297297298298299299300299297298298297296296296296297297297296297296295296297296296297296295296294294295296295295294295294294294294293293293294294294295294294294294294294294294294294295294293293293294294293293292291291291290290291290291291290290291291292291291291291291291292292293293294293293291291290291291290289289289289289289289289289288289289289290290290289289290290290290289289290289289288289289289288289289289289288289288288287287287288287287287287287288287287288288288288287287287285286286287288287286286287287286287287287287288288 294296294295293295295295295295296296296296297297298297297297297297294999295298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288294294298300300292292290291289289288287288290291290291292291292292292291292292292292292293293292293292292291291292293296294294295293291294294293292291291290290290291291289288288287287288289290290291291290291291289289290289289289289288290289289289288288289289288289290290292292292291291291290290288290290291289290289288286999999999291289290291289290292292291291293290291291292290291292293294294296295295294293294295295999297297299999999999999290293293293295298999999999999999999999999999299300300301300299299300300300299299299299299298299298298297298299300299300300299298298298298298297297297298298297298298299300300299300300300301300301300301300301301300300300300300300301301300301301301301303302302301301302302302302301301301300302302302304304302303303303303303303303303302303303303304304304304304303303303304304303303303303303302303301303303303303303303302302303303303304303303302302302304304304303303301301303304307304305306306309308305301302305304305303302302303305304303304304305305305303304303303301304306300300301300300300298300299299300300300300301303304303303302304305306305305307308308306306306306307305306305307307306306305304304303304306306306304304305305306305307307306306306306305305304304304303303303304304305305305305305305305305305305303304304304305305304303304304304303303302304306304305304302305303303303301303301303303303302300300304304304304304304303303303302302301303302301301301302302303303304303302303301300300301300300301301302302303300301301301301302302301304301298300300299301301299299299297299299300298299300299299298298299298297297297296297298298297297297295295298299299298298297296297297298297296298297297297298297297297297297297296297297296295295294295294295295293294294293294294293293293293294295295294295295295295294294294294295295295295293293294294295294293293292291291290290290290291290290290290291291291291291292291292292293292293293292292291292292292291289289290289290289290289289290289289289290290290289290289290290291290290289291289289289290289290289289289289288289289289288288288288288288288288288288288288288287288288287287287287287285286287288287287288287287287287287287287287290 295294292293294294296296297297296296296296296297297297295296297296292292294294297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286290294297294295293290291290289288287288289290291291293292292293292292293292292293291292293293293293292294293293292293294295295295295295297294295293293292290290291291290289290290289291290291292291292291290290290290289289290289290290289290289288287288289289288288287288289291292290290290291289291291291290290292294293289290293292289290291290292293292292293293293291290291293292291290292294294295297295294293293295295295294295296296297999999999290292294295296298299999999999999999999999298300300301301300300299300300299298298298298297298298299297298299299299299299299298298298299298297297297297298298297298298300300299300300300300300300300299300302301300299299300300300300301300300300301302301302302301301301301301302301302301301301302302303303302302303303304304304303303303303304304303303304303303302303303303302302304303303304303303303303303303303304303303302302302302304303302302303303302303303303304305303304303305305306306305305307306306304302305306303304299303302303304303303302303303304303303302302303300299298299299298297300300300298298302300299302302302302303304304303305305305306306308306304306307308307307306306307306305304306305305305304306305304304304305304305305305306306306304304304304303303303303304304304305306305306305305306305304305305304304305305304304304305303302304303302303303306303302302301305303303303302302304302303301302303303304303302303304304303302304303303303303301302301301301301302303303302301301302301301303302302301300302302301301301301302303302302302302301298301301302301300300299299297299299299299299299299300298298298297298296297297298299298297297298296297297299298297297296297297298298297297297298297297298298297297297297296296296296296295295294294294294294294294293293293293293293293293295295295295296296295295295295295295295295295295294294294295295294293292292292292291291291291291291292291291292292292292291292292292294293293292292293291291292291291291290290290290289290290289289290289290290290291290290290290290290291290290290290291290290289289289289289289289288289290288288288288290288288288288288288287287287288288287288287288287285286288287288288287287287287287287288287286288292 291293292293294295294296296296296296297297296297297297297297297297295293291292297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279285285291295293293293289290290289289288290291291290292292293293292292292292292293292292292293293293294294292293292292293294294295294295296296295294293293291290290290290289290292292293293293293292292292291291289290289290291289289290289289290288288288287289289289287288288290289290289290290289287288287291291290291290294289999290290288290291292291293294293294295294293291291292293291999293292294296297294294292295296294292294294295296296295294999291292295295297297298300999999999999999999301301301300301300300300300299299298298297298298297298297297297298297298299299299299298298298298298298297297298297297297298300300300300300300299300300299299300301299298299299300301300300300300300300301300301300300300301300300301301301302301301301302303303302301302303303304303304302303303304304304303304304305305305304303303303302304304304304304304304303303303304304303304303302303303304303302302302303302303303303303304304304304302305305307308306309308307308305310303303302301302304304302303303302304304303303303302298304302298301300300299299301301301300298298299299301302302303302303305303303306306305306304304306308305307307306307307306305306304305305304304303305305304305305305304305308306304305304304303304304303303304304305303304305304304305305306306306306306306304305305305304303304306305303303304304304305305303303304303303305302302303303299301303302300303304304304304304304303303301301302303304303301302301303303304302302303301301302302302302302303301301301301300303302302304303305300301302302301300301301299302300300300299299299299298298298298299301299298299297298297296296298299299298297298298298298299298298297297298297298297297297299298298298298298297297297296297296295296297295295294294292294293294294293294293293294293294295294294294295296296295296296295295296295295295295294294294294294294294292292292292291291291291290292292292291292292292292292292292293294292292293293292292290291291291291290290290290290290290289289290290290290290290292290289290290291291291291291290291290290289289290289289289289290290289289289289289289289288287289289289288288288288288288288288288288288287288289288288288288288288288288288287286288291 290291291292292293293295295295295297297295296297296298297297296295295293291291292296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285287291290290291289289289289288289290291291291291293292292292292292292293293292293292293292292292293293294293293293294294296295295295295296295293291291291291290291291292294292293293292294292293292290290290290290290290289290288289290290288287289290290291288288287288290290290288289290290287287288288287290292290293288999293291289291292293293293295295295295295294292292292293292292999999999298298295295294295294294296297296296295294294293294293293295297297298299300299299999999999999300300300299300300299300300299298298298297297298297297298297297298298298299299300298298298297298298298297296297297298298299300300300300300300300301299299300299300299299299300300300300300300299300301301301300300300301300301300301301301301301300301302302304303303303303304303303303302303304304303304304304304304303304304304303303303305305305304305304304304304303303302302303303303302303303303303301302303303304304304304304303306303304307306305306304305307306308308309303304302303303303303304305304304302303303302301302301301300300303299300300301301301302301300298299301302303302302303304305307307305305306304305306307308307307307307307305306305307305304305305304305304304305306305306305304304304304304304304303303304303303304303305305305304305304306306306305306306306306305305305306306304307306304303304304303304305304304304303302303302302303303303302304303303304303303304303303305304302304302302303303302303303303304304304305303303301302300299302302302302302301300303301300301303304303302303301300302301299300303301301300300297300300299299299299299299299299299299299299299298296298299299298299300297299297297299297297297297296298298297298297298298298298298298298298297297296297296296296296295295294294294293293293293294293293294294294294294295295295295295296296296296296296296296295295295294294294294294293293293292292292292293292292291292292291291292291293292292292293293294292293293293292292292294291291291290290290291290291291290290290291291291290291290291290290291291291291291291291288289290290289291289289290289290289290289290289289289289289288288288288288288288288288288287289288288288288287287288286287287287288286288288287286286290 290289292293294294294296295295296296296296296296297297297296297297296292292999292295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280283286287290291290290289289288288288289290291292292292293292292292292293293292294293293292292294293293292293293292293293294295295296295294295294294292291291291291291290292292291291287292293291292292291291291289291291290289284289290289289288288289289289291290290287288290289291290289290287287287288290290293292291290290292294293292292292293293296296296295296294293292292293295294294293999999999300297298296296296296298297296297296294294294295295296297297999298300301299299999999999999301298299300299300300300300299298298298298298298298298298298298298299299299299300298298298297296297299298298297298299298299299299300300299301300300299299300300299299299300299299300299300299299300300300300300300301301300301301301301301301301301301302303303304303304304303303303304302303304303303303304305304305304305304304304304303305304304305305305305304304304303303301302302303302302303301301301303303303305305305303304304306306306307308308306305307306306304306307305304303303302301302301304303304301303301301302301302302302303302301302302301301299302301301302303302301302303302302303303303307307306306306306306306307307306308305307306305304307307305306306304304304304305306304304304304303305304304304304304303303303303303304305304305306305306306307306306306305306305306307306306306306307303305304303303304304306305304305306303303302302304303304302303304304302304305304304303304303303303302302302303303303304303304304305304302302302302301302304303302301300301301299301301302304303304301303300303302301300301303302302301301297300300299300299300299297297300300300299298299299299299297299299300299298298299300297298297297296297297297298298298298298298298298298298298297297296297296297296296296295296296295293293293293294294294294294295295294295295295295296296297296296296295296296296296296295295295294295294293293293293294293293293293292292292292292293291293292292293294293293291292292291291292292290292292291290291290291291291290290291291291290290291290291291290291291292292291290290290290290289289290289289290290290290290290290289289289289288288288288287288289289289289288288288289288288288288287286288287287286286288287288286287287286290 294293294295295296296296295295296295296296296296297296295295295296294295295293294294297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282278278279281284288288289288288289292292291291291291292292291292292291292293292293294293291291291294295293293292293294293293294294296297296295295294292294293292293291290290290292290290291287293293292292292291292292291290290290291290290290290289288288288289289291291288289289290289290289289288287287289288290287290291291291288290294291294293293294294296296296297297295293293293291294293293294999999999999295298999298298298297296296296296295296296296296296297298999999299301299999999999999999300300300300300300300299300299299298298298298299299298298298298299299299298300299298298298298298297297297297297298298297297299300300301300300300300299300300298297298299299299299300300300301299300300301299301300301302301301301301301301301301302302303303303303303305304304304304304303303303304305304305304304305305305304305306305305304305306304304305305304304304304304303303303302303301302302301302302304303303305305304304306306307307306307307305304304306307304306306306301303302300301300301302302301303302300302301304303301302303303300302301300299300302302301302302302302304303304303304304306307307307306308307307306307307307307306307307306306305306306305305304303305305306305305304305303303305304304304304304303303304305302305304305304306306306308308306305306306306306306305306306306306306307305303304303304305305306304307307304304301303303304303303302304304304304304305304304304304305305305303304304303303303303305306303303301302301302302303302304305304305300299299301305302301304304303303300302304302301301301303302303301298301300301301300301302300298301299299300299299298299299299298299299297298299297300298297298297297296296298297297297298298299298297297298298298297296296295295294296295296295295296295294294294294295294295294296296295295295295295296297297296296296296296296296296296295295295295295294294293294294293293293295292292293293292293292292293292292292292292294293292292292292292292292291292292292291291291292291291291291291291291291291291291291290291291292292291291290289289290290290290289288291291290290290290290289289289288289288289289288289289289289289288287288288288288288288287288287287287287286287287287287286286287291 295294294295297296297297296297297297296297296296296296297297295297294294296295294293294300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276276279278282283286288286288290291292290291292292292293292291292291292293293293292293292293291294294293293292294294294294295295295295296296296295295294293292292291291290291292291290291291289292293294293292291290291291291290291290290291291289289288288290289288289287289284288289290292287289289290287286290291293287293292289293295294296293293293295295295295297296295294294296296294295294293999999999999999999999999999999295295295295296295296297296297297299999999299300300299999999999999999999298300300300300300300300299299298299299299299299299297298298299299299298299299298298298298298297297297297297297298297297298299299300299299299299299298298298300299299299299301300299300300299300300300300300300300301301301301301301302301302303303303303304304304304302304304304304303303304304304304304304304305305304305305306305305305305305304304305305304305303303304303303303303304302302303303304304305306305305303304305306305307309309306309304306307306306306306304303303303300300300300301302301300301304303301302304302302301302302301303302301304303302302302303303303302304304304304305304307307308307306306306306306307305305306306307306308305305306305304305304304305304305305304305304304305304304304304304304304304305306305305305305305306305307306306307306307306305306307304306306306307305305304304305305305305308306303306308307303304303304304305305303304306305305304305305304304305304305305303304303304301304303305304303301300301301303302302304303305301302302304304304304302303305304303301303305301302303304302303302302299298301301302301301302298300302300302300299298297301302299299298299296297298297300298299297297298297297298297297298299299298299298298297298298298297297296295295295296296296295294295294294294295294295294294295295295295296295294295296297296296296296296295296296296295295295295295294294294294294294294294293294293293293293293293292293293292292292292293292292292292292292293292292292290292292292292291291291291291292291291290290291290290292292291292292291290290290290290290290290290290290290290290289290290290290289289289289289289288289289289289289289288288288288288288288287287286286286287287286286285286287286285285291 294294295295296297297298298299298297297296297296297296296297296296294295293294293294296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276276277279283285284286287290292291291290291292291292292292291292292292292292291291290290291292291292293293293294293294295293294293296293296293295295294293292291291292291292291290291291290290291292293293291290291290291290289292289293291291290289288289288289288289290291290288288290292289290289288289287290294298292289291292290295296295295294294295294295294293295296297297298298296295293294999999999999999999999999999999293294295296296296297298297296299299999999299299299999999999999999999999999300300300300299299299299300299300300299299298298300299298300299298299298298299298298297297297297297296296297297297297298299300299299298299299298298297299299299299300300300299299300301300300301300300300300301301301301300300301301302301303302302303303303303303304302303303303303303303303304304304304304304304304304304304304304304304305305304304303303303302303304303303303303303303303304304304305304304302303303304304304305307308307305306306306306305304303306300301301300302300301301301302299300300303301300301304302302302302303302302303304305300302303302304303304303302304303303303304304306307307306306307306306305305305306306306305304307307305304304305304305304304304303303304303305306305304303304304304304304305306306305305305305305307306306306308307307307306305306305307307307307306305304305304305305305305306302304304303303306303303304304305304305306305305304304302304304305306305303303304305304303304303303304302302302303302302301303304302303303304305302304304300300303305303303303305301300302302302302304303300301298301301301302300299302303302300301300299297300301302300300300298299298298298298298296296296297296298298297298298300298298298299298298298297295296295296295295294296295295296295295296296295295295295295296295295295295296295295296297297296296296295295296295295296295295295295295295295295294294294294293293292292292292293293293293292293292292292292292293292293292292292291292292292291291292292291291292291291290292290291290290291290291291291291291291290290289290290289289290291290291290291291290291291291289289290290289289289289288288288290290289289289289288288288288288288288287288288287286286286287286287286286287291 294294295296296297298298298298298297297297297296296296296296295295295293293293295294296298304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277279278276277276278280282285286287288290291290290290291291291292291291291291292292292291292291292291292293291291292291291294295295294293293293293296296293294295292292291291290290290292291289290290290291292290292292290291289291291290290290290291290289290290288289287291289290288293288291294290292290289289289290292290293999291290292293291293293292293293295292294295295295296297298298297296296293290999999999999999999999999999999999295294296296297298296297298299300301301999999999999999999303304999999999999297298298300300299299299299299299299298299300299300299299297297298298298298298298298298297298296296297296297297296298299299300299299299299299300300297299298299299299299299300299300300301300300301301301301301301300300301300301301302300301301301302303304304303303303303302303302303303302303304304303304304304304306305304304303304304304305305304304303303304304304304304304303305304305305305304305304305301303303304305304303305304308308305305305304304305304303303302302301301301301301301300299300301301301301302302302302302303302303304304304305304305306306303303304305304303303304304305305307307308307307308306306305306306307305304304306307305305305305305303305304304304302303302302305305305304304304304304305306306305305305305304306306307306306306307307306307307307307307306306306306305305303304305305303305304305302305304305304304303303303304304305305305305304305305304304305304305304303305304305304304305304303303303302304301302304302303299301303301302303300305303301300300300299300303300299301302301303303303302300301300299300299299299299300302301301300300298300300300299299299299299299297297297298298297296296296296297297297297298298297297298297297297296296295296295296295295295295295294294295295295295295295295295295294295294295295295296296297296296295295296295295296296296295295296295295295295295294294294294294294293293293292293293293293293292292293292292293293293292292292291291291291293292292292292291292291291291292291291290292291291290291292291291291291290290290289290289288289289290290291291291290290290291290290289290289289289289289289289289289289289289289289287288287288288287287287287288286286287287286287287286286286290 295295296296296297298298297298298297297297297297297297296295294296295294293295296295296298298999999999999295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281278278278277280279282282284286288290290290290291291288289291291292289292291290291292292292293291292291292293293293294292293294294293296293294294294293295295293294293291290291290290290292290289290290292292292291292291291289290291291290291290290291291290289289288287290288290289291289290290292291291290289288291291292292290999291291292291292293292293293292295294295295296293293296296297296295294293293999999999999999999999999999999293293294295296298300298298298300301302301999999999999999999301301999999999999302298299300300299299299298297297297296296296297297297297297296298298297298298297296297298295295296296297295295296296297298298299299297298298297297297297297299298298299299299300299301301300301299300300301300299300299299300300301301301301302302303302302303304303302303303302302302302302301302303303303304304305306305305304303304303306305305303303303304304304305305305304303304305305305304304305303303301302303303303303304303304306308305305305304305303301300300301301299302301301301302301300300301303301302301303301301301301301305305302304305302303304305304303305305304303303303305304306306307307306305306306307306306306304304305304306307307305304307305305303304304304302304303303304305305304305306304304305305306305305305306305305307307306305307307307306306306307305306305304305306305305304303304304303304304303304305303302303303303304303303303303305304304304304305304305304304304303304303304304302303303302302302302302301301302302300304301301301300300299303301300303301301302301301302301300301302300299302301302302301301302301302301301300300300302301300302300300302301300298299299298299299297299299298298297295296298298297298298298298298298298297297297296296296295296296295295296295295295295295295295296296296295296296295295296296296296297297296296296295295296296296297296295295296296295296295295295294295293294294294294295294292294294293292293292293292293293293293293292293293292292292291292292292291292292291292292292292292292292290291291291291290291290290290290290290289289289290289290290291290290290290290290290290290290290290289289289289289290289289289288288290289289288288288289289288289288287286287287287286286287286286287289 296295297297297297297297297297297298296297297304297297296296294295297295295294295294296298297999999999302301295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275277283283282282282282285285286287287289290290291291292291291290291292292291292291291292291292292292293292293293292293293293294291294293292293293293293294295293294293294292290290291291289289292290290290292293294293292292291292290291291291293292291291292291293292290292292291291291291289289290291291290293290289291292292294291292999292293291293292293293293293292294294295295294295296294295295295295293293292293999999999999999999999999295296295295296297298297298298999300301301301999999999999999999300300301300300300301299299299299298298298298297296296296296295295295296296297297297297297298298298297297297296295294295295295295296297298297298298297297298297297297297297297297298298298300299299300300299299299299300300300300300300299299300301301301301301301302302302301302302303303303302302301301302302302302302302302303304304305304304305304304304304304305305304303304305305305305304305304305305305305302303304304305302302302302303303302301303304307303303301301302302298299299301302302303301301301302302301301300299300301302301299299300301303300300301303303303304304304303301303304304303304305305305305306306306306306306306306306306305304306305306307306305305306306304304305305305304304304303304304306305305305305306305305305305304304304305305305306306305306307307307307305305306306304305307305304303306303302304304303304305304304304304303303303303303302304302302305305303303304305305304304305304304304303303303303303303303302303304304304302303303302301300301300302301303303302301302302302303302302302302301302302302301302303303302302302303302300302302302301300302302300302300301299301298300300300297299299299299299298297297296297298298297299299298298299299297297297297296296296296296296296296294295295296296296296296296296296296296297296295296296296296297297296296297296296296296296296296295295296295295295295295295295295294295294294294294293293293294294293293293293292293293293294294293292293292292292291292293292292291292291291291291292292291292291291291291290291291291290290290291289289290290290290290290290290289290290289290290290289290290290289288289289289289289289288290288291290289288289288289288289287288287286286287287287286287285286286289 296296297297297296297297303297298297296297298298297296296295296295295296295296295296294293295999999999299298295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274279284285286286287286286287287288287288290291291292292292291291292292292292292290290291292294293293293292292293293293293293293295294293294292291292293293293292294292293293293291292291290289289292291291292293294294293292292291291291292291292294294293289289291292291291292294293291291290289288291292290290292290291293291291293289999999294294294293294294293292293292293296295295296294297295294295295295294295294999999999999999999999298297297296999999296298297298298298999299302302302999298299999999999300300300300299299298297299299299299300298298297297297295296295295295296297296297297298297298298298297297296295295295295295295294296296297296298298297297297297297298297298298299298299300300299299300299298300299300301300301301300300299300300302301301300301302301302302302301302303302302303301302302302302302302302302303303303304305306305305304304305305305305305305304304305305305305305305304305305305305302303305304303302303303302303302303303302303301301302302299300301300300302302302300302301302301302300300299299299298301302300299300298302306302302302303304305304304304303303304304303303304304304306305306306306305307307306307306307305305306305305305306307305306304305304304306305304305304304304305305305305305305306306305305306305305306306305305306306306306306306307306305306306306307304305305304305305304304304304304304304303304304304303303303303303303303302304304305304304305304305305304305304304304304305305304302302303303303304304304302302301301302301300300301302302302301301302302302302303303302302302302302302302302305303302302303302302301302302302302301301300302300300301302299300300298300300299299298298298297297298297298297297297298298298298299299299298297297297297296296297296297296296296296296296296296296297297297297296296296295296296297297297297296296297296296296296296296295295295295294294295296296296295295295294294294293293293292292294294293294293293293294293294294293293293292293292292292292293293292292292292291291291292293293292291291292291291291291291290290290290290289290289289290290290290289289289289289290290290289290290290289289289289289288289288289290290288289288289289289289287287287286287286286287286287286287285286286290 296297297297298298298299303299298298298297298298298298297296296297297296295296295295294293293296299292302300295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271273276279284285287287287288288286287288288288289290292292292292292291292292292293292291290290291292293292291292292292293293292293293294294294294294293293294294292294294294293292292292289291292291289293290289291294294294292292292292291292291293293292293293292288285287292289290290294291289292290290290289294293291291292291294292290290294302999296295295292294292292292293293294297296296295295295294295294294290292298294999999999999999999999297297297999999999999999297298298298999302303302302300301301999999999300300300300300299298297296297300299300298298298297297295296296296296295296296296297296297297298297296296296296295295294295294295296296296296297297297296296296297296297297298298298298299300299299300300300300300300300301301301301300300301301302301300301301301301301301301301302302302301302302302302302302303303303302302303303303304305305304304304304305304305305304304305305304305305305306304305304304303303302303303302303303302302302303301302302301301299301304300299299302300303299303303303302301300303299301299298297301301302299299300299298301303304302303303303304304304304304305303304305305305305306306305305305304306307307306307305307306306307305306306307306306305307305305305305304305305304305306305305305305305306306305305306305305305306305304306305306305306307306307306305306306306307306307305305305304304304304305305305303303305304304303304304303304303303305305305306305304305305305305305304304304305304304303302304302303303304304304303302301302301302302301302301304303304303302302302303302302303302303303304303302302305303303303303302301303302303300302301301302301301301301301301299298301300300299299298298298298297299299299298298299298299298298299298299298298297297297296297296297296297297297297296297297297297298298297296296297297296296297297297297297296296296296297296296295296295295296296296295295296296296295296295294293295293293293292293293293293294293292293293293293293293293292292292292292291292292292292292291291292292292292292292292292291291291291291291290290290290289290290289289290290289290289288289289289288288290290290289289289289289289289289288289289289289289289288288288288289288288287287287286287286286286287287285286288287290 298297296298299298299298298299299298299298302298297297297296296296297298295295294294293295296295301300301293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277280281283285286287288287287287288288289290290290291292292292293293292292293293292291292291290291290290291291292292292293293293293292294295293293293293292294294294295293292292292292290288290291290291294291291293292292291291292291292292292291292291291290291290290291287292290288290293291290289290292291290291290291292289291292291292293291999999999296294295295293295292292294295295295295294295295294294294295294294296999999999999999999999296294296297999999999999999296296297999999302303302300301302303300999999300300300300299299299298298299299299299299298298297297297296296296296295296296295296297296297297297296296296296295295295294295295296296295296296296297296297296296296297297298298299298299299301300300301300301300300301301300300301300300301302301303302300302302302301302302302302303302301302301301301301302303302302302303303303303303304304303303303303303304304304304304305304305305305305305306305305304304303303303303303304303301299302303301300300302302302301303302304303302302302302302301301301301301302298299300298298299302300303300300303304303304304304305306304305304306306306306305304305306305306306305305306305305307307306306306307307306307307307307307305307307307307305305306305305304305305307306306305305306306306306305306306306305306306306305305306306306305306306307306306305305306307307306306305305303304304304305305306304304304304303303304304304304305304305305305306305305305305305306306306305306305306303304304302303304303304304304305304303303302303303302302302302303303303303304303302303302302303303303304303304303303305303303303302302303303303302301301300300301301299301300303300301301301300300298298298298299298298298298298299299299298298298298298298298298297297297297297297297297297297297297297297297297297296296295296296296297296296297296296296296296297296297296296296296296296296295295295295295295295296295294294294294294293293293293294294293293293293292291293293293292293293292292291291291291292292292292291291291292292292292292292292292292291291291291291290291291289289289289290289289289290289289289289290289289290291289290290289289289289288289289290290289289290289289288288288289290289289289287287287287288286287286287288287286286290 296298298299299299300297304297297298299299298297297295296296295295296295295296294295293294295296294297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281282284284285286287288289288288288289289290291291291292293292293293292290292292292293292290291291291290290290291292291291293293293295293295296294293292292292294294294293292291291292291290286291292293293294294292292291292292292291291291291292291291291291290290290292289289291292289290292292291291288288289287289294291292289292291291292296294999999999296293291292294294293293294294294295294295294292293294294293294294293292999999293293294999999294295999999999999999999295295294999999301300300299301299301299999999999299299299299298297298298299299298299298297297297296296296295296296296296296296296297296296297296295295295295295295295295295295295295295295295295295295297296297297297298297298299299299299300298299299300300300300301301301300301302302301302302303302302302301301302302302301301302302302302301301302301301301302302302302302302304302304303303303304302302304304304303303304304304305305304304304305307305304304303303304304304303301301301303302301299302301301301302301301302302301301301300300300300298302301300298299298298298300300303302303301303303302304305304305304305305306307304305305304304305305305305304306304305306306305305305305306306306307307307307306306307307306307305306305304305305306305306306305305305305305305306305306306305305305306306306305306306306305306307307307307306307307306305306305304305303303304303305304304304303303303303303304304304304304305305305305305306305305305305306305305305303304304303303303302304303303303303303304302304303303304303302302303303304303302303304303303303302302303303303303304304305304303302302301301302304302303302301301301301300299300299300300300300300300300299298299299299300299298298298299299299298298298298299298298297298296296296297297297298297297297297297297298298298298297296296296297297297296297297297297296296296296297296297296296296296296295295294295295295295295295295294295294294294294295294294295294294293293293292292293294293293293293292293292291292291292292292292292292292292292292292293292293293292292292292292292291291291291291290290290290290290291290290290289290290291290291291291290290290290288289289289289289290289289289289289289288289289289289289288287288286288286287287287287287287287289 299298298298299300299299296295297299297298298297298295296296297295295294294295295294294293292295291292295293999999295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999283283283284285286286287288289290290289289288289289290291292292292293293293294293291292292292292292291292291290290290291291291292291292293294295296296295293293293292292292295294294293291291292291287290291293293293293291290292291291292292292291291292292293293292291291290289290291292292290291291294290293291289291291289290291292293291290291292292293295999999999999298999999295295295295294293294296296295293292292291293293294295295295999294294293293999999294294999999999999999999295295999999999301300299298300299299301999999999999298297295297298299299299299298299298298296297295296296295295295295296296296297297296296296296295295295294295294295295295294295294294295295295295296297296296296297296297298298299299298299298299299299300301300301300301300301302302302302301301301302301301302302302302303302301302302302301302301302301301302301301302302301302303303302302303303302303304303302303303303303304304303304304302304304303305304302303303303302303303303304301302302301302301303301301300302302302300300301300301300299301300298300300301300299299300301301303303303303302303303304305305304305305306306305305305304304303305305305305306305304306305305305305304305305307307306305305306306307305305306304305304304305304306305306305305305305305305305305306306305306305305306305306305306306305305305306307307306306306307306306305304304304304303302303304302302302302303304303303303304303304304304304303304304305305305305305305305304304304303303303304304302303302303303303303304302304303304303303303304303303304303304304304303302302303302303303304304303303304304303303302301302302304302303302301300300304300299301300300300299300300301300300299299300300299300299299299300300300300298298298299299299298298298297297297298297297298298298298299298298299298298297296297297297297297297297297297296296297296296296297297296296296296296295295296295295295295296295295295295295295295294295294294294294294294294293293293294294293293293292292292291292292292291291292292292293292292292292293293293293293293292293292292292292292291292291290290290290290290291291290290290290290290290291291290290290289289289289289289289289288290289289288288288288288289290289288288287287287287287288287288287287287287290 300298298299301300299297297297296296296297298297298296295295296295295297294295294294294294293294292291292294295295295293291292296294999999999999999999999999999999999999999999999999999999999999999999999999999290295999999286286285285285286286287287287288288288291290290290290290291290291291291292293293293293293292292292293292292291291290290290290291291291293293293293293294295296296293293292293294294294295293292291292292291292294292292293292292290291291290291291292292292292292292291292292289290290289291291290292289291290291294291293291292292291293292290290293292294293287295999999999999294296296296295296296296295294295295295294293292291293293294291295296999295296295295295999294294999999999999999999295295294999999999301299299299300299300999999999999999299298293290296297298298299298298298297297296296296296295296295296296295296296296295296296296296295294294295295295295295295295294294295295295296296297296297296297297298298298299299298299299300298299300301301301301301300301301302301301301301300301300301302302302302302300301302301302302302302302301301302301301301301301302302302302302303302302303303303304302304304304303303303303304303305305303304303303304304304303304303303304303304303302303302303302302303304304301301302300301301300301300301300301301301301301300301301303302303304303305305305305305305304305305306305305304304305303303304305306306305305305305305305304305305307305307306306307307305307306305305306306306304305304305304305305305305306305306305306305306305306306305305305305306306306306306306306307308307307306306307307306306305304303303303303304303303302303303304304304304303304303304304304303304304305306306305306305306305305304305304304305304304303304303303303304304304303304304304303302305305304304303303305304304304303302303303303303303303304303304304304303303302302303303303303302302302302301300300299300300299300301302301301301302302302300300300300301300300300300300299298299299299299298298298298298298298298298299298298298298298298298297297297297297297297297297297297297297297296297296296295296296296297296296295295295294296295295295295295295296296295295295294295295294294293294294293293293293294294294293293292292291292291291291291292291292293292292292292292292293293293293293293292293292291291292291291292291291290290290290290289290290291290291291291291291291290290290290289289289288290288289290288290289288289288288288288288288288287287288287287287287288287288287288289 301299300300299299298296296297297296297297297298296293295293294296296297296295293294293293294294291292293294295294294999999290293292293999999999999999999999999999999999999999999999999999999999999999999999293290290284286286286285287287288288289289289289289290291291290291291291292290291291293294293292292292293293292292293293292292291290290290290291292292292292293293293294294295295295292294291294294294294293292292292292291293294291291291292291290290290290292291291292291291292292291290292291290290290291291289289291289292291295292294292291290291292292294292294291294292999999999999299299296294295296297298297295296296295295295295294292292292295294294294295293294295294296295294294296298999999999999294294295999999999999300299298300299299299297999999999999298297294291295297298300299297297297298298297297297297297296296296296296296296296297296297297296294294294294295295295296295295295294294294296296296296296296297297297298297298299298299299300299299299301301301301301300301301302302301300300301301301300302303303302302303303303303303302302302302301301301301301302301302302303303303303303303302303303303303303304305305303304304304304304304304304305303303303304304303304304303303306304303304303303303302304303303302302300300302301302302303301302303301301303301302302302302303303303305304306304305306306306305306305304305305304303303303303303305305305306305304305305306306304305306306305308307306307307305307307306305305305305305305304304304305304305305306305306306306306306306306306306305306305306306306306306306306308308308306306307307306306306305305304304303304304304303303303304303304304304304305305304303303303305305305306306306305306305305305305306305303305305304304304305304304304304304304304304304304303303304305305305304304303304304303302302303303303303304304305304304304303302302302303303303303302301301302300301299298299299299299300301302301301301300301300301300300300300301300300299299298299298299298297298298298298298298298297298297298298297297298297298297297296297297297297297297296298296296296296296296296296296297298297296295296295295295295295295295295295295295295295295296295294294295294294294293293293293294294294293293293292292292291291292292292292293292293292292292293293293293293293293293292293292291292292291291291291290291290290291289291291290291290291291290291291290290290291289289290290289290289288289289289289288288288288289288288288288288288287287288287288288288288287288290 302300299300300298298301298297297297297296297297295293296295298299296296297296294294294294294292292292295294294295293999999291290290292293999999999999999999999999999999999999999999999999999999999999999295293291289288287287287288287287288289289290290289290290290291291291292293291292291293292293292292292292293293292291293292291291291290290291291292292293293293293293293294294295295295295291292294293293294294293293293292292292293292290290291291289290289290290292292292292292293291290290292292291291290291291293290291289292291291290292290291292292292290291294296291295298999999999298298298297296296296297298298298295296296293294294293294291294295294297297295294294295294295294295295296298999999999999294295294999999300300300301303304301300301298999999296295295297294999295296299297297297299297299297297296296298295294295296296296296296296296295296296295294294294294294294296296296295295295296296296296297296296296297297297298297297298297299298299299299299300300300300300300300301300302301300300300300301301302303302302303303302302303303303303303302303302303301301301301302303303303303303303303303303303303303304304305304303302303302303304304305304305304303303304302301304305305305305303304304303305304304305304303301302302302301301301303302301302302302302301301302302302302303303304304305304305304307307306306305306306306305304303303303304303304304305305304304305305304305304305305307307307307307306306306307307306305305305305304305305304305305305304305304304306306305306306305306306306306306306305306306307306305305308307306307306307306306306305305305304305304304304304304304304304304304304304304305304304304304303304305305305306305305306306305305305305305304305305303304304304304304304304304304304303304304305304305303305306304304303304304303302303303303304304304303304303304303303302302302303303303302302300300301301302299300301299298301301300301300301301300300300301301301301300301301300299299299299299298298298298298298298298298298298299298298298298298297298298298297296297297297298297297296297297296297296295296296296296297296296295296296296295295295295295296295296295295296295295296295294294296295295295294293293293294293292293293292292292292291291291292292292292292292292292292292292293293293292293293293292293292292292292292292291291291291291291291291291291290290291291291291291291289289291290290290290290289289289290289288289288289289288289289287288288288288288288288288288288288288287288290 302301300300300301302300300300297291293296295297297296296296297296297291299297297294296295295296295296294296293292291291290292291291290288287290999999999999999999999999999999999999999999999999999999999999293292292289289289289288289289289289289289289289291291290291291291291292291292293292293293293293294293293292291291291291291291291290290290291291291292292290294294293294294294295294294294294294294294294294295292292291291292291290290290290291290289289289290291291290293292292291292289290290292290288290290291291292289289290289290292291291292291290291291292295289999999999999294297296297297298297297297299298298296297296294297296295294289295297296297296296294295295296294294296297297299999999999999294296999999300299300301301999303306303300297999999294295295297296999295297298297297298298298298298297298296296295295295296296296296296294295295296296296294294294294294294296296295296296296296296296296296296296296297296297297297298297298299299299298299299299299300300299300300301300300301300300301301301301302303303303303303303303303303303303303303302302302302301302302301302303303303303302303303303303304302302303303303303303304304304303304303303304304304304304303303304305305305305304304303304304304304304303303303303302303302301300302302302303303302303302301302303303302303304304304304305305306306307307307306306306306305303304303304303305304303304304305305305305305304304305306307307307307306307306306306306306306306305306304305304304305305305304305304305306306306306305305306306306306306305306306307305306306305308309308307307307306306305305306306305305305305304304304305305305304304305304305304303304304304304304304304305306306306305305305305306305304306305304304304304304303304304304304304305303304304304305304303305306305303303305305303303302302303304304304303303303303303303302303303302303303302302302300300300301299299300299299301301300301300301299301300301301300301301300300301300300299299299298298299299298298299298298298298299298299299298298299298298298298297297297298297297297297296296296296296296295297297296295296295296296296295295295295295295295295295295295296295295296295295295295295294295294295294293294293293293293294294293292292291290291291292291292293292292292292293293293293293291292293294293293293292292292292292292291292291292290291291291291291291291291291291291289290290290289290291290291288290289290289289289289290290289290289289289289289288288288288288289288288288288289291 301299297299298299302298298298297301298298296296294295303296298297296299299297297297296297296296297295296296294295293289288292290291287288291290289289999999999999999999999999999999999999999999999999999290290291291291292291290289290291291291289290290290291291292292291291291289291293293294294294293293293292291292292292291292291291291290290290290291290292293294294294294294293293293291293293290290294293293293293291292293291292290289290289290289289288290289290291290291292292291291291290289290293290290291290290291291291291289290290291291291291292292292294293294293999999999999295297296295296296296296296297296297295294293295295294292293294296296295297296294293295295295293294294296298999999999999295295999999297300298300302999999999999299298297296294294295296296295295999296297297297297298298298296297298295296297296296295295295295294294295295294295294295294294294294295295295296296296295297296296295295296296296296296297297297298297298298299299298298299299302301299300300301301301301300300300301301302301302302303303302303304302303303303303303302302302302302301301302303302303303303302303303302303303303303303303303303303304303302303302303302304304304303304303303305305306305305303304303302302303303304304302303303302302303303302302303302303303302302302302303303303303304305304304304304306305306307307307307306306306305305304305304304304305305303303304306304304304304305305306307306307308306306306305307306306306306306307306305303303305305304304304304305306306306305306305306306306305306305306307306307306307307306307306306306307307306306305306305305306305305305305305305305305305305305304304304304304304304305304304305305305306305306306305304305306305304306304304303303303304303304303304305304305304302304304306305303305306305303303304304304304303304303304305304302303303303304303303303304303303303303302300301300303302299301301298300301301300301300301300300300301301300301301302300300300300299299299299298299299299299299299298298299299299299299299299299299298298298298298298298298297298297297297296296296296296296296296296296295295296297296296295295295295295295295294295295296296295295295295295295295295295294294294295294294293294293293292292292291291291291292292292292293293293293293293293294293293293293294293293293293293292292292293292292292292292292292291291291292292292292290291291291291291291291291290291291291290289290289290290290290289290290289290289289289289289288289289289289288289289291 300301301301301300299298298297296298298298295296296296298299298299297296298296297296296294292293293292296296294296296290288288289292289290291289283289289999999999999999999999999999999999999999999999289290289290291292292292291290290291291291290289290291292291291291291291290290292294293292292294293294293292292291292292292291291291291291291291291291290293293293294294293293291292293291293293293293293293293293293290292292291289288289289289289289289289289291290291290290291291290290291291291289292290290290290290291290292292291290290291293293292292292293296297294999297294293296296297296296295295294294295295296296296294293294293294294293295295295293295297296294294293294293294999999999999999999999295293999999300298298300999999999999999299297296296295295295296295291294296296297298999297297298298298298297296295296295296295294295295295295294295295294294294294294294294294294294296296296296297296295295295296296296296296297297297298297297298299299299300301301302301300300300300300300300300300300301301301301302302302302303302303303304303303303303303303302301302302301302302303303303302302303302302303303302302303303303303303304303302302304303303303305303303304304303304304304305305303305302302301302302303303303303303302302302302303302302302302302302302302302304304303303304303304304304305305305306306306306306305305305304303303304304304303304303304303308307303303303306304305305306305307307306307306305306306306306306306307305305305305306305305305305304305306306306305305306306307306306306306307307307306308307308307307307305306307307306305306307306306306306305305305304305305305305305305304304303305305304303304305305306306305306306306306305305305305305304304305304304303303303302304303304304303304304304304304306305305305305304304304304304304304304304304305305304303303303304304303304303304304303304303302301301300302302301302301299303301301300301300301301301301301302301303302302300300300299300300299299299298299299298299299299299299299299299299299299300300300299298298298299299299298297298297297297297297297296297296297297296296296296297297296295296295296296295296295297297296296296296296296296295295295296295295295295295294294294293293293292293292292291292292292292292293293293293293294294294294292293294294294294294294293293293293293292292293292292292292292291291290292293292292291291291291291291291290289291290290289289290289290289289290289289289289289289289289289288289289289289288288289289290 302302305303301301300299300299298299295294292293297292294298299298297297296297295294294292292295292292293294295294293289286286288291291292289291284289999999999999999999999999999999999999999999999999288291289289289290290292292291291291291291291291292292291291291291291291291291293292292292293292292292292292291289291292291291291291291291292291292293292294294293295296295294293294292293292293293293293292294293293292291291290290289288289289290289289290291291291292291290292292290291291293293292291291291292291290290290290290289290292291292292292292293293294295999299300296297296297298298298296296295295295296296295293295294293293293296295294296294296291298295295294294293293999999999999999999999293294293999999298297999999999999999999999299296296295295295295295295293293295297297300999297298298298297298297297296297296296296296294295295295295295295295294294294293294293294295294296296296297296296296295295295296296296296297297297297297298298299299299299299301301300301301300300300300300299299299300302301302302301302301302302303304303303303305304303303302302302302302303302302302302303302302302303303303303302303302302302303303303301302303303303304304304304304304303303303305305304304304302303303302302303301301302302301303303302302302302303303303304302303304305303304304306303304304304305305305306305305305305304305305304304303304304305305305304304306307307305304304305306305307306307307307307307307306305307306306306307306305305306305306305305305304304305306306306306307307307307307307307307306307308307307307308308308307307307307307306306307307306306306306306306306305305305305305306304304305304305305305305305305306305306306307307306307306306306305305305305304304304303303303303303304304304305304304305305305305306305306305304305305305305305305305304305305305304305304304304304304305304304303303303303302302302302302302301304302302302302302302302302302301303303302302303302302302302301301301301301300300300300300300300300299300299300299299300300300299300300300300298298300300300299299298298298298297298297297298297298297297297296297296297297296296297296296296296295295296297297296296296296295295296296295294294294294294294293294293293293293292292292292292291292292292292293293293293294294293294294293294294294294293293293293292292292293293292292292292292292292292290292292292292292291291291292291291290290290290289289290289289289290290289289289289289289289289289289289289289289289289288289289289291 302303301301302302303300301300298298299294293297298298298297298297297297292295294295294293293294292292294291291291289292288285286285291292290291294999999999999999999999999999999999999999999999999294291291288289289290290291291291292291291291291291291290290290291291292292293292292292292292292292291292291291291291291290290291291291291292292292293293293295295294294294294294292293293291291287287292292293293292292291291289288288288288290290291289289290291292291291290290292291291289290291292291292290291290289290289290291290290290291291291292292293297296296999999295296295295296297298298298299295294295296296294294292293295295294292293293293293295296298298292292292294292292999999999999999999999292294999999296296298999999999999999999999999295296295296295295295295999999298298297297298298298298298297298297296297297296295296295296295295295295295294294294294294294294295295295296296296296296297297296296296296295295295296296296297298298299298299299299299298297300302302302300300300301300300300300299300300302301300302302302303303303304305305304304303302303303302302303303303303302303303303302303304304304304304303303302302303303303303303303303303303303304304304305303303303304305303304304305303304303302303302303304302302303302303302303303304304303304304305304305306307305306304304305305306306307306307306306306305305306307305305304306307305306307306306307306306306306307306307307308309308308307307306307306307306306306306306306306306306307306306306305306306307307307307307307307307308307308308308310308308307308308309308309308307308307307308307307306307307306307306306306306306307306306305306305306306306305306305306306306306306307307306306307306306306306306306305304304305304303304303304305305304304304305305305305306306306306305305303303305304306306306305305304304304304304305304304305304304304304303303303303303302302301301303302303302302302302302303303303304303303302303302302301302301301301301301301300300300299300299300299300300300300300300300299299299300300299299298299300299299298298298298298297298297298297297297297297297297296296297295296296296296296296296296295296297295296296296295296296295295295294294293294293293294294293293293292292291292292292291291292292292293293293293294294294293293294293293293293293293292292293292292292292292292291292292292292292292292292293292292292292291291292292291290290289290290290290290290290291290289289289289290290290290289290290289290290289289288288289291 301300302302303303304302302301299300298295300298292293299292298297297296294293291292290290292291291294293293292292291292292288287286287292292289297999999999999999999999999999999999999999999999999999292290289290290289289290291291291291290290289291289289291290291291292293294293293293292291291292292292292291292291291290289291291291291291292293293294293293294294293293293294294293293292289291290292294293292292291292290290290290290289290289290290289290291291291291291291291292291289289291291292291291290289290291290291290290290289290291291292294294293295999999999294294295295295296295298298300298295295295294294293293293293294294292293292293294293291295293293293294294293292999999999999999999999295294999999293295297999999999999999999293294295295294295294294295296999999297296296999298298296297297296297297298298297296295295295294295295295294295294294294294295294294295295295297296296295296296296296296296296294295295295296297297297298298298299298298298298298299299299300300300300300300299300300300300300301301302301301302302303303303303304304304304303303303303303303302303303303302302303302303302303302303303304302302304303303303303303303303302303303304304303303303302302302302302302302304304304303303303302303303303303304303303304303303303303304303305305304304307305305304305305307306307307307307307307305306306306306306305310305306307305305308307308307308307308309309308308308308308309308308307307307307306308307305306307307307306307306307307306306306306308308308307306307308308307308308307308310308308308308308308308308307307307307307307307307307307307307306306305306306306306306306306305305305306305305304305306306305305306306307307306307306306306306306306305304303304304304303304305305305304304304304304305305305305305305303303303303304304305304306304305303304303303304304304304304305304304303304303303303303301301300299302303301302305304304303304303303303304303303303302302302302302301301301301301301300299299299299299299300300300300300300299300300299299299300300299299298299298298298298298298298298297298298299298297297297297296297296296296296296296297296296296296296296296296296295295296295296296294295294294293293292294293293292292292293292291291292292292292292292292293293293294294294294293294293293293293293293292292293293293292292292292292292292293292293293293293293293293292292292291291292291291290290289289290290290290290291290290289289290289290290290290290290289290289289290289289289291 300301303304304306305304303303302300301299300299298298297293292291291296295292295293292290290292291292290291290289289290289292291288289291292291999999999999999999999999999999999999999999999293999291289288289289291291291291291291292291290290290289290290290291290290292291294294291291291291291291292292293292293293292291290291291291292291294294293294294294293293293294294293293294293293290291291292292292291291290289290290291291290289289289290290291291291291291292292291291292292291289289292292291291290290291291290291290291291290290290291293294292294999999999999293293296297296295296297297297297295295294293292294293292293293293293291292293293294290290291293292292293293292292999999999999999999293293999294293295296293293293290289291292292294294295294293295295299999999999295295296297297298298297297296297297297297296295295296295295295294294294293293294294294294295295295296296296296296295296296296296296295295295295295296296297297297297297298298297298298298298299299300300300300300300300301299300300300301301301301301302302302303304304303303303303302303303302302302302301301301302301302302302302302301302303302303303303303303302302303303302301999302303303304303303302302302303303304303304304304303301302303303303303304303302302302303303303303303303304304304305304305305304306307307308306307307307307307306306305306307305305307305305307307306305305308308308308309308308309309308308308307308308307308307305307307307306307307307307306306307307307307306307307307308306306307307308308309308308308308310308309308309308308308308307307307307307306306307307307307306307306306305306306306305305306306305305305305305305305306306306305305306306306307307306306305305305305305303303303303304304304304305304304304304305305304305304305305305304304304304304304304305305305305304303304304304304305305305305306304304303304303302301301301301301304302301302302303305303304304302304303303303302302302302301301302302301301301300299299299299298299300300301300300300299299299299299299299299300299300299299298298298298299298298298297298298298297298297297296297297297296296296296295296296296296296296295295296296295295295296294295295294295293293294294293294293293292292292292292292292292292292293293293293294294294294295294294294294294294294293294293293293292293292293293293293293293293293293293293293293293292292292292291291291291291291291290290290290290291291290290291290291290290290290290290290290290290290290290289289289292 298301303303304304305305304302301302300299297295296294297293293291291295293295293293292292293292289289289290291289288289291287290290291289293289999999999999999999999999999999999999999999291294291291288288290290291292291292290291291291290291290291290291292291292293293291293293291292291291291291290291291291291292292292290291290291292293294294293294294292293292293294294294293294295293292292292290290291292290289290290289290291290289288290290290290291291291292292291292292292291291291290292290292291292291290289291291290289291291290289292292292292999999999999292293293294295295296296297294295295294294295295294294293292293292292292294293293294294292293294293293294294294292291289999999999999999999291999293294295296295295292292291291291292293294295295295295296295295296999999999297297297298298297297297298297297296296295295295295294295294294293293293294294294294295294296296296296295296296296296295295295296295295295296296296297297296297297297298298298298299299299300300301300300300300300300299300299301301301301301301302303303303303304303303303302302302303302302303302301302302302302302301303302302301302304304303303302304303302303302302302302302302302301302302301302302302302303303305304304304304302303305305302303303303302302302303304304304305303304305305305304305305306305308308308307307307307307306308306306307308307307306307306308308308307306307308309308308309309310309309308308308308308308308307307307308307307307308308308308307307307307307307306307308307307306306308307308308309309308308309308308309308308307307307308307307307307306307306307307306306306306306306306306306305305305305305306305305305306305305306306305305306305306306305305306306305305305305304304304304304303304304304305304304305306304305305304305304303304303303304304304305304304304305304304304305304305305305304305305305304303303304302302302301304303304302302302303302304304304305304305303303303303302302302302302302301300301301300299299299299299300300300301300299300300300299300300301299300299298300299299299299298299298298299298298299299298298298297297297297296296296296296296296296296296296296296295295295295295296295296295294295295295295294294293294294294293293292293293293292292292293292293293293294294294295294295295294294294294294294294294294293293293293293293294293294294294294294294294295294294294293293293293292292292291291291291291290290290290291291290290290290290290290291290290290290290289290290289290290290289292 300302303302303303304304303302302301300299297296295293292294295295296295293292294293292292293293292293290291291290287289292289291291290290290290999999999999999999999999999999999999999999292292289290287289291292290291290291289290291289290291290291291290292291292293292292293291292291292291290291291290290290291290292293292293293293293292293294294294293293292292293293293293293293293291292291291290290290289291290290289289291289290289290290291290291291290291291291291291291290292293291290291291291291291290289290292291290290290291291292295292294999999999999294292292292293295296294296295295295294294293294296296294292292292292292294295294293295295294292291293293292294295293291292290288999999999999999291292293295297298295294294292291292293293294295295295297298296296999999999999297297296297298298297296297297297296296296296296294295294294293293293294293294294294295295295295295296296295296296295295295295295294295295295296295296297296297298297298298298299299299300300300300300300300300300300300300299301301301301301302302303302303304303303303303303303302302303302302301301301301301301301302302302302302303303303303303304304304304303303303302302302302302302300301302302303302302303304303304302302303303303303303301303303302303303303303304304304305306305307305306306305305305306308308308308307307307307308307307307307309308308307308308309308309307308308308308308309309309309309309309309309309308308308308309308309308307308308308308308307307307307307306307308308308308307308308309307307308308308310309309310309309308308308307307307306307308307307307307307307306306306306306306306306306306305305306306306305305305306304307306306306306306305305305305305305305305304305304304304304305304304304304305304304304306305306305304304304304304303304304305305305305305304304303304305305305306305306304305305304304303302303303302302303305305302302303306303302302304304305303303303303303303302302302302302301301301301301299300299299300300300300300300300299300300300300300300300301300300299300299300300299299299298298299299299299299298299299300298298298297297297297296296296297297296297297296296296297296296296296296296296296295296295295294295293294294293293293293293293293292292293293293293294294294295295294295294294294294294294294295294294293293293293293293293294294294295294294294294294294293293294294292293293292292291291291291291290291290291291291291291290290290291290290290290290290290290290289289290290290290290 301301304302302304305305303302300301300299297297296295294293297297296295293293293292292292292292294295289291290289290291292293290292292293292292999999999999999999999999999999999289288288289289288288289288290291290290290291290288289289290291290291291291291291291291292291292292291291292291291291291291291291291291292292293293292292292291291294294292292292291291292292293292291292292291290291291292292291292290290290289290290290290289290290290291291291290291290290291291291292292291291291291291291291290289290290291291291290291291291290293293999999999999294293293293294295294294293295295294294293293293294295295293292293294291291294293296294294294295294295292294294296296294296292293291291999999999999290291291297295296296294294293294294295294294295297298297297297297999999999999999298999297298298297298297297297297296295296295294294294294293293293293293294294294295295294294294296295295295295295295294294294293294294295296295296296297297297297298299298299299300300300299299299299300299300300300300301301302302301302302303303303303304304304303303303303303302303301301301301301301301301301302302302302303304303304304304304304304304303302302301303302303302302302301302302303303303303303302303302302302302303303303302303303303304303303303304304303307307307306307307307305306307307308308309309308308308307307307307308308308308310309309309309308308308309308309308309309309309310310310310309310310309309308308308309309308308308308307308308308307307308308307308307308308308308308308309309307310309309309309308309308308309308307307307307306307307307307307307307307306306306307306306306306306306306306306306306305305305305305305305306305306306305304305305305306306305304304304304304304305305304304305305304305305306305305304305305304304304305305305305305305304304304304304305305304306306304306305304305304304304304304303303303303303305303303303306305302302304305306303305304304303303302303302302302301301301301300299299299299299300300300300300300300300300300301301301300301300300300299300299300299299298299298299298298299299299299300299298298298297297297297297296296297296297297297297296297298297296296296295296296297296295295294294294294293293293293293293293292293293293293293293294294294295295295295295295294295295295295295295294294294294294294294294294294294295294294294294294293293293294293293293292293292292292291291291291291290291291291291291291291290290291291290290291291291291291290290290290293290290290 300302304303302303304305304302301301301301298296297295296293295296295298295293295291292292293293294293293294290289291293292289291290291292292292999999999999999999999999291291290291289290290290289289289290290290290290292290289288290288290290290290291291291291292292293292291291292291292291291292293292291292292291293292293294291291291292292295292291293293291293291293292292291291290290290291291290290291291290288288289291291291290289289290291291291291291291291289290291291291292290290289290291291291290289290291291291292291292291291296999999999999293293293293293294293294292293294294293298291292292293293294294292292292293292295292295294294294295295294296295295295296294293293293293292292999999999290290290999999294294295295294294295295296298999296297299298299299296999999999999999999999297298298297298298297297297296295295295294294293294293294293293293294294294294295294294295295295295294295294294294294293293294293294295295295296296296296298299298298298299300299299299298299299299299299300299301300301301302301302301302302303304303303303303304303303303303302302302301301301301302302302302302302303305305304303304305304304305304303303303303303304303303301301301302301303302302302302303303303302303302303304303303303304303303304304304304305304306307307307308308307308308308309309308308308307306308307308308309308308307308309310308310310309308308309309309309308309309310310309310310310310310310310310309308309309309308308307307308307307308308308307308308308308308309308309309310310309310309310310309309309308309309308307307308307307306307307307307307307307306306306306306306306306306306306306306305306305306306305304305306306306306305305305306306306306305305304304305305305305304304305305305305305305305306304305305304305304304304304304304305305305304305304305305304304305306305305306305305305304304304304303303304302303302302301303306306305303302303302302306305304303303303303303303301301302302301299300299299299298299299300300300301300300300301301300301301301301301301300300299300300299298299299298299299299299299299299299299299299298298298298297297297297297298297298297297298297297297297297296296296297297298296296295294294294294293294294293293293293293294294293294294294295295295296295295296296296296296296295295293294294294294294294294294295294294294295295295295295295294294294294294294293293293292292292292292292291292292292291291291291291291291291291291291291291291291291290290290290290290290290 301303304303303303304305304301302301301300300298296297296295296297296295297297297295295293295293291294292293290291291290290289290290290292290292999999999999999999999289290291290290290291290290289290290290289289290290291289290290290289290290290289289291292292293291292291292291291291292291292293293292292293292292292293293292292294293293294294291291291291293293291294293291292291290289291290290290290291290288290288289290291291291289289290291291290290291291290290290295292292292292290291291290291290291290289291290290291292293291291999999999999293292292292293294293294293294295293293292292290291292294293294293293293293293294294293292293293295295296296297295295296295294292292293293291291290290290290293294293294294295295294294294295295296296299296295298298298298298999999999999999999999297297297298298298297297297296296295295295294293293293293293293293294295293294295294295295294294295294295293293293294293293294294294294294294295295296296297297298299298298298299299299299299299299298299298299300300301301301301301301302302303303303303303304304303303304303303303302302301302302302302302302303303303305304304303303304304304304304303303303303304304304303303302302302303302302302302302303303303302303303303303304304304304303303304305305305307307304306307308308307307307308308308307308309308308309309309309310309309309308308308309308309309309308308308309309309309309310310310310310310310310310310310310309309309309309309307308307307308307308308308307307308308308309309309309309310309309310309309310309308308307308309309308308307307307307308307307306306307307306306306306305305306306306307305305306305305306306305305306305305306306306306306306306306306305305304304305305305305304304305305305305305305305305305304304305304304304304304304304304304305304305305305305305305304304305305305305305304305304304303304304304304303302303303303302302305305305303306303304305303304303304304302303302301301302301301300300299299299299299299300301300300300300301300301301301302301300300301301300299299299298300299299299299299299299299299299300299299299299299298298297297297298298298298298298298298297298298298297297296297297298299297296296295294296295294294294294294294294295294294294294294294295295296296296296297296296295296296296294294294295295294295295295295295295295295293295294294294295294294294294294294294293293292292293292292291291292291292292291292292291291291292291291291291291291291291291291291290290291291291 301303305304305306305305303302301301301301301302299297297299298298299297298298297295295295295295291292291291291291291291291292289290290291290291999999999999999999288291291291291290290289289289290289290289289290289290289288290290289289288289289290291291293292294293291291291292290291291291292291292292291292293293293293294293293294295294291292293292291291293293292293292291291292291290290291289290291291290290290290290290290290291289290290290290291291290291290291291291291292292291290290291292290291291291291292291292292290291291999999999999291292291291293295294294294293295294291292293291291292292292292292293294293293293294292293294296295295296296295294295295297297293294294291290292290290291290292295294293292293295295295295293295294295298298999295295295999999999999999999999999999999999296297298298298297296296295295295294294294293293294293293294294295294294294295295294294294295294295294294294294294294294294294294294294294295295296296297298298298297298297298299299299299300299299299298300300301300301301301301302302302302303303303303304303303303304304304302302302302302302302303303303303304303303303303303302304304304304304304304303304303304303302303304303303303302302302303302302302303303303304303303304304304305304304306305308308308309304305307307307307308306307308309308307308308308308310309310309309310310310308308310309309309309308309309310309309309310310310310310310310311310310311311310310310310309308310309309307307308308307309308308308309308309309309309310309311310311310310310309309308307307308308309308308308307307307308307307307307307306306305306306306306306307306305305305305305306307306305306306306306305306306306306306305305305305305305305305305305305305305305305305305305305305306305306304304305305305305305304304304304304305305305305305305304304304305305306306305305305304304304304304305303302303303303303305305305306305305306304304304304304304304304304304303302302302302301301301299299299299299300300300300301301301301302300301301301301301300300300299300300299300299299300299299299299299300299299299299300300299299299297297297298298298298299298298298298298297298298298297297298298297298296296296295296295295295295295294295295295295295294295294295296295297296297297297297297297296296296296295295295295295295295295295295295295295293295294294294294295294295295295294294294294294293293292292292292292291291292292291292292292292291292292291291291291291291291291290290291291291290291 304303304305305306306305302303301301300302301301298298297298299299299298298298297295295297295294292294293293291291290290292292291291293294291292999999999999999290290291290291291292292291290289290290289290289289289288290290290290291291291290290291291292293293293294292291290291290290290290290291291292293293294294292294294294294295295295292293294293293294293292292292291291291292291291290292290291291292291290290290290291290294290290290289290291291291290290291290291291292292291291291291291291291291290292291292291291292292291999999999999292291291290292293293293293293293293292291292292292291292291291291293292293294292293294294295295294294294295294294295297297298295293294293292292292292291291291293295294293294293296296298294294293295298296297999999296296999999999999999999999999999999999296297298298298297297296296295295294294294293293293294293294295294294294294294294294294294294294295295294294294294294294294294294294294293294295295296296297298298298297297297299299299299299300300300300300300300301301301302302301302302303303303303303304304303304304303303303303303303302302303304303303303303302302301303303304304305304304304303304303304304304304304303303303303303303303302303302302303302303303304304304304305306305305304306308308307307309307306305306307308308307307309309307307308309308309310310310309308309310310309309309309309308309309309308308309309309310310311310310311311310311311311311311311311311310310311310310309308308308309309308307308309308309309309309311310311310310310310309309309308307308307307308308308308306306307307307307307306306306307307305306305306306305306306306305306305306306306306307306306306306306306306305305305305305305305306305305306306306305306306305305305305306306306305306305304304305305305305305304305306305305305305305305304304304305306306306306305305304304304304304305303303304304304304304306303306305305305305304305305305304305304303304304304302303302300300300300300299299300300300301301301301301302302301301301301302301300300300301300300300299300299299299299299299299299299299299299300300300299299298298298297297298298298299298298298298298298297299298297298297298298297295297296295295296296296295295295295295296295295295295295296297297296296296296298297297296297297296296295295295295295295295295295295295295295295295294294294295295295295294295294294294294294293293293293293292292292292292293292292293292292292292292291291292291292292291291291290291291291291291 304307307306305305306305303304302302301299302301299300300300300299298298299299296296296296295292291293294295294293294292292292290290293296291292288999999999999290291290289289291292290291291290289289289290290290289290290289289290289291291291291292291292292294293293292291291291289289290289291291291292292293293293293294295293293295295292294294294293292293292291292292292292292290291291291291291291291294293291291290290291288290290290291290291291290291291290291291291292292292292291291292291291291291292292292291292292292291999999999999290291291292292292293294292292292293292291292292293292292292292292294292292293293293293295296291294294294291293295296296296296296296293294293293291293292290292293294294294294295295296299296296293294297296294298999999999999999999999999999999999999999999298297297297298298298296296295295295294294294293294293293294293294293294295295295294294294294294294294294294294294294294294294295294294294294294295295296296297297297297297297298299299299299300300300300300300300300301302301302301301301302302303303303303303303303304303303303303303303303303303304304304302303304302301301302303304304304304304304304303304304304304303304303304303303302303302303303303302302303303303304304304304305305304306305306307308308307307307307305306307307308307308306307307308308308308308310309309310309309310310309310309310309308308308309308309309310310311310311311310311311311312311312311311312312312310311310311312310310309310309309309309308309309309310309309310310311311310310310309309309308308309307308309307307308307307307308308308307306306306306307306305305305305307304306307305306306305306306306306306306306306306305306305305305305305305305306306305305306306305306305305305305305305306306305306305304305304305305305305305306305304304304305305304304304304304304306305305305305304305304304304304305303305305305305305307304306305305305305306305305305305306305304304303303302302301300300300299299299299299299299300301301301301302302301301301301301301300300300300300300300299299299300300299299299299299299299299299299299299299298298298298298298298298298299298298298298298298298299299298299298298297298297297297296296296296296296296296296296296295296296296298297297298297297296297297297297298298297298297295295295295296296296296295295295295294295294295295295295295295296295294294294294294294294293293293293292292292292292292292292292292292292292292291291292292292292291291291291292291292292292 305309310306307305304304304304303302299300303302300302301300299299300297298298298296297296295293292293293293292294293292293292291292292295292295999999999289290289288289290288291291290290291290289288289289289290289290289290290290289290291291292291292291293294293294292290291291289289291291292291293293293293292293293294295294293292292292294293293293293293292293293292292291291291290291291292292292293292292289291289290288289289290290290290291290291291290290291291291292292292291292291291291291291292292292292291291292293999999293291292292292293293294294294293293292293293292292290291293292292292293292293293293292292292292293295295294292293292293294297294295296296296294292293292293294295293294294296298999296297295297300298296294295296297297296999999999999999999999999999999999999999297297296297298297298297296295295295294294294294294294294293294294293294294295295294294294294294294294293293294294293293293294294294294294295294294295295297296296296296297298298299299299299299299300300300300300300301300301301301301300301301302302303302302304303303303304303304303303303303303303303303303302301301301301301303304304304304303304303304303304304303303304304303303303303303303302303303302302302302303303303303304304304304304306305306307307308307307308305305306305306307305306307305307308308308308308309309309310310309310309310310309310308308309308309309309310310310311310310310311311310310311311311311311312312313312311311312311311311310310310310310310309310309309310310309309310311310310310309309309308308308308307307309307308308307307308307306307307306305305306305305306306305306306305306306306306305305305306306306306306306306306305305305305305305305305306305305304306305305305306305306305305306306306306305305305304305304305306306306305306305304305304304304305304304304304304305304304305305305304303304303304305305304305305306307307306305305305305305306304306305306305304304303303303302302301300299299300299300300300300300300301301301301301301301301302301301301301301301301301301301300299299299300299299300300299299299299299299299298299299298298298298298299298298299299298298298297298299300299298298298299298299297297297296295297296297297296296296296296295296296296296297297297296297297297297297297298298297297297296296295295295295296296296295295294294295295295295295295295295295295295295295294294294294293293293292292292292292292292292292292291292292292292292291291291292292291292292292292292292292292 307303306307305305305304304304302302300300302301302302300299300297299299297297297296297296296294295295296297296295295295293291292293293293291290293292290289290289289289290290291292290291291290290289290289289289289290290289290290290291291292293293293291291293293293293292291290289290290291293292293294293293293294293294295293292291292292293292292292292292292292291291291291290290290292291292293293292292291291291290290290290290291292290290290291291291290291291292292291291292292292291291292292292291292292292292291292999999999291292292293293294295294294294294294294293293292291290292292292291292292291292293293292292292292294294294294294293292293293296296296295294295295292295295294295296293293293293999999999999296295296295294294297999298295296999999999999999999999999999999999999999297296296297297297297296296295295295294294294294293294293294294294294294294294294294294294294293293293293293294293294293293294294294294294294294295295295295296296297297298298297299299299299299298299299301300301300301300300300300300300301300301302302303302303303303304303304303304304304304304303303302301302302301302303303303303303303303302302303304303304303303304304304304302303304303302303303303303303302302305304304304304305304306305306305306306308305307307306306306306307307307306306307307307307307308308309309309309309309310309310309310310310310309309309309309310310311311311310310310310310310311311311312311311312312312312312313312311311311311310310310310308309309310310310311309310310310310310310309310308308308308308308308308308308308308306306306306307306307307307306306306306306306306306305306306307306305306306306306305306306306306306306306305304304305305305305305305306306305305305306305305305305305306306305306305305305305305306306307306305306305304304305305304304304304304303304304304305305304305305304305305305305305304305305306306306304305306305305305305305305305304303303303303302302302301301301300299299300300300300300300300300301301301301301301301301302302301301301302301301301301300300299299299299299300299299299299299299299299298298298298298298298298298299299298299298298298298298299299300299298300300298298298297297296296296296296297297297297296298296296297297297298298298297297296298297297297298298296297297296296296295295296296296296296295295294295295295295295295296295295295295295295295294295294294294293293293293292292292292292292292292292292292292292292292292292292292292292292293293293293293 999301304308305307305303304302302303302302303303302302301302299300298298296297294298298295294289294296296296295295295295293293293293292291290290290290288288289289290290291291291291291291291290290289290290289288289289290290291290291291292291292293291292295292291294288292291291289292290292292292293293293293294294291293294294292293293293293292292292292292292292292292290290290290290291291291293291290290290290289290290291291290290291290290290289291291291291291291292291290291292292291292292292292292293292292292292291999291291291293293293295295295294294293293294293293292293293291291291292292293292292292293293292293293294293293294293293293294293293297294294293291295295296295295293294295294999999999999999999999999295296295294293999999999999999999999999999999999999999999999999999999999999999297297296296296296295295295294294294294294294294294293293293293293293294294295294293292293292293293294293294293293294293293293294294294295295295295295296296297297298299299299299298300299300300301300300300300301301300299301301300301301301301302301302303303304304304304304304304303304302301302302301301302302302303303303303303302301302302303302303303303304304303304303304303302302303303303303303303303304303304304304304304305306306305306306307306306307307306305306306305307307307306306307307307308309308309309310308309309309310310310309310310310310310310310310310311311310310310309310311310310310311311311311311312312313312312312311311311311311310310310310310310310310311311310310310310310310309309308308308308308309307309309309309308308307306306307308307307307307307307306306306307306306306306306306305305305306306306306306306306306306305305306305305306306306306306305306305305306305305306306306306305305306306306305305305305306307307306305304304305304304305304304304304304304303303304303304304306305305305305305305305305305305305305306304305304305305304305304306307304303303304303303302302302301301300300300299300301300300300300300300301301301301302301301301302302302301301301301300300301300300299299299299299299299299298299299299299299298298298298298298298298298298299299298298298298298298299300300299299299299299298298297295296297297297296297297297297296297297297297298298298298298297297297298298297298298298299297297296296296296296296296296296296295295295295296295296296296296296295295296296295295295295295295294294293293293293292292292292292292292292292292292292292292292293292293292293293293293294293293 999999302304305303303302301301301302302300300300301300301302301300298298298297299297298295295295297294293296297293294294294293293291293293291292290290290289291290290290291290291291291291291290290289291290289289288290290290290290291291291291292293294293294293290293293291291291292290292293292292293292293293293293292293292293293293293292292291293293292292292292292292290291290290291291291291290292290291290290289290290290291291291290289291290290292291292292291291292292291291291291292292292291291292291292293293292292291292291293294294295295295295295294294294293293293293293294291292291291293293294293293293293292292294293294294294293292292292293294295294294291293293296295294294294297296294999999999999999999999999294293294295295999999999999999999999999999999999999999999999999999999999999297295297297297296296295295295294295294294294294294294294293294293294294294294294294294293293293293293293293293294293294293293293294294294294294295294296296296297298298298298298298299298300300299300300300300299300301300301301301301301301300301301301301303303304304304305304303303303303302302302302302302302303303302303303303303302302302303303303303303304304305304305305305303304302303303303303303303303303303303304303304304304306306306306306307306306306306305305306306305305305305306307307306307307308308308308309309309310310310310310310310310310310310310310310310310310310310310309310310310310311311310311312312312312313312312311311311311311310310310310312310310310311310310309309310310310309309308308307308308307308308308308309309308308307306306307307307307307307307308307306307307306306306306306306306305305306305305306306305305305305305305306306307305306306305306305306306306308307306306304306306306306306306304306306306305305305306306306304305303304305304304304303304303303303303303303304305305306305305305305305305305305305305305304305304304305305305305304305305304305303303304303303302302301300301300300300300300299300301300300301301301301301301302302302302302302301301301301301300300300300299299299299299299299299299299299298298298298298298298298298298298298298298299299299298297297298299299300299299298297298298298297297296297297297297297297297298297297297297298298298297298298298298298297297297298298298298297296296296296296296296296296296296295295296296296296296296296296296296296296296296296295295296295295294294293293293293293292293293292292292292292292292293293293293293293293293293293294294293294 999999999299302302302303303301303302301300300302302303301302300301300298299297297296296296296295298297296294293293294293292293293292292291291292291291291290291291290291291292291292292292291291291288290290289289290289289289291291291292291292291292294293290289293292291294294294292291294291290291291291293293293293293293293294293293293291292293293293292293292292293292290290291290290290291291291292291292291291290290289290290290289290290291291291291291292291292291291290289291291291291292291291291292292291291292293292999290292293294294294295295294294293293293294294294294294293294294292291293293294292293292292292292293293294292292292293293293294294295293293293293293295295295295295295295295999999999999999999999999294294298297999999999999999999999999999999999999999999999999999999999999999295295297297297296296295295295295294294294293294293293293293294294294293293294294293294293293294294293293293294294294293294293293294295294295295296295295296297297298298299299299299299299300300300300300300300300301300300301301300301301301300300301301301303303304305305306303303304303303303303303302303303302303304303302303303303303303303303303303304304303304304304304304305304303303303303303303303303303304304304304304304303304305305306306306307307306306305306306306305305305305304306306306308307306307308309308309309310311311310311311310310310310310310310309311310310310310310310310309309309310311310310311311311313313312312311311311311311311310310310310310311310311310310310310310310310309309309308308308308307308308308309308308308309307307308307308307308308308307306307307307307307306307306306306306306305306305305305306306305305304305305306307306306305306305306306305306307307308305306306305306305306306307306305306305306304305306306305306304304304305306304304303304303303303304303304303304306305306305305305305305305304305305305305305305305304305305304304304306304304304303303303303303303302302301301301300301301301301301301300301301302301302302302302302302302302302302301301301301301300300300300299299299299299299299299298298298298298298298298298298298298298298298299298299299299298297298298299299298299298298298300299298298297297296297298298297298298298298297298298299298298297298298298298298297297298297298298297296297297297297297297296296296296296296296296296296296296296296296296296296296296296295295295295295294294294294293293293293293293293293293293293292293293293293293293293293293293293293293293293 999999999301302301302303303302301301301301301302301301301301302302301299297297298296295295295294294295293295294296294293292291292292292292292292291291292291292292292292291292292292291292291291290289290290289289289290289290290290291291292292290292294294294293292293293294295294293290293292293291291291292292292293293291292292291292292292291292292291291291291291292291290290290290289290290291290290292292291291290290291290290290289290291291290290291291291292291291290290291291292292291292292291291292292292291293292291291291292293293295295294295295294293292293293294290294294294294293291293293294293293292292292293294292293294293293294292293294293293294292291293293293296296292293294295295999999999999999999999999999294295999999999999999999999999999999999999999999999999999999999999999999999999294296297297296296295295295295295294294293294293293293294293294294294294294294293292293294294293293293294293294294294294294294294294295295295296296295296297297298298299299299298299300300300300300300300300300300301301301301300301301301301301300300301303303304305303303303303304303303303303303303303303303304304304303303304303303303303303304303303304304304305304305304305304304303304303303304304303302303304305305305303304303305305307306306307307307306305306305305305305305305305305305305306307307307308309309309309311311310310310311310310309309310310310309310310310310310310310310310309309310310311311311311312312313312312312311311311312311310310310310310312311310310310310310310310309309309309309308308308308308308308309308308308307308308308308308308308308307307306307308307307306306306306306306306305305306306305305305305305305304305305305306306307304306305306306306306307306306307307306305305305306307306306305305305306306304305306305305304304305305305305304304304304304303304304304305305307305307307306305305305305304305305306305305305305305305304304304306304304304303303303303303303303303302301301301301301301301301301301301300301301301301302302302302302303302302302302301301301301301300299299300299299299299299299299299298299298299299298298299299299298298298298298298298299299298298298298298299299299298298299301300297297297297297298298298298298298298298298298298298299299298298298298299298298299297297298297297297298297297297297297296296296296296296296296296296296296295296296296296296296296296295295295295295295294294294294294294293293293293293293293293293293293293293293293294294294294294293294294294 999999999301303302302303302302301302302302302302302302302303302301300298298297297296295295295295295293292293293293292294291292291292290293292290291292291292291290291291292292293292293292291291291291290290288288289289289289289291291291291292291294293295294293290291291293295293291291291291292292292291292292292292291290291292291291291291290290290291291291290291291292290291291290289291290291291290291291291290290290290290290290290291291291290291291291290290290290290289291291291291291292292291292292291292293294292292293293294294294294293294294294294293293293294295294294293292293292292293292293293293294293293293293292292293292295292292293292292295292292292292292293294295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296296296296295295294294294293294294294294294293294294294294294294294294293294293293293293293294294294295295294294294293294294294295296296296296297297298298298299299299299299300300300299300299300300301300300301301301302301301301301301300301303303303303302303302303303303303303303302303303304303304303304304304304304304304303304304304303304304305305304305304305304304303304304304304304304304304304305304304304305305306306305306307306307306306306307306306305305305306305305305306306306307307307308309310310311310310310310310310310310310310310310310309310310310311310310310309309309311311311311311312313313313312312311310312312312312311310310311311311311310310311311311310310310310309309309309308308309308309308309309309308308308308308308308308307307308307306306306306306306306305306306306305306306305305305305305305305305305304305305306305305305305306307306306307305305306306306305306305306306306306306306305306305305305305305304304303304303304304304305305304304304304304304304304305306305307306304304306304304305307307305305304305305305305305305305305304304303303303303303303303303302302301300301301301301301300301301301301301300301301301302302302302302302302302302301301301301300300299299299299299299299299299299299299298298299299299299298298299297297297298298298298298298298298298298299298298298299299298299299297298297297297297297298299297298298298298298299300300299298299298298299299299298298297297297298298297297297297297297297297296297297296296296296296296296296296296296296296296296296296296296295295295295295294294294294294294294294294294293294293294293293294293293294294294294294294294294294 999999999304304302303303303303302301302301302303302303301301301302301299299298297296296295294295296293294293291290292293291291293292292292292292291291291292291291291292293293292292292290289289290291290289289288289289288288289290291291290293293294295297294292290293290291291293290290291291292292291291292292291293293291292292291291292290289289289290290290290290290291291290290291289291290291292290291291291290290289290290291291291291290290290292292291291290290291289290290289290290291292292292291291292293293294999293293292293293294294294294293293293293293293294293292293293291292293292292293292292293294294294294294294294294294295291292292292293294292293293293294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296296296295295295295294294294293293294293294294293294294293294294294293293293293292293293293293293293294294294293294294294293294295295296296296297296297298298299299299300299299300300300299299300300300300300300300300301301301301302302302301302302302302303302303303303304304303304303304302304303304303304304303305304304304304304304304303303303304305305305304304304304305304305304304304304304304304305305304305305305305306305307306305305306306306307307305305304304305305305304304306306306307307308308309309310311310310310310310310311310310309309310309309309310310310310310309310310310311311311311312313313313312312312311311312312312312311311310311311311311310310311311312310310309309309309309308308308309308308309310309309309308309308308308308307307308308307306307307306306305306306306306306305305305306305305305305305305305305305305305305305305304305306305306305306305305305306306305306305305305306305305306305304304304304305304304303303303304304304304304304305305304305304305304304304305306305305304304305304305306307307304304304304305305305306305304305304304304303303303303304303302302301301300301301300301301301301301301301301301301301302302302302302302302302302302302301301301301300300299299300300299300299299299300299298299299299299299298298298298297297298298298298298298299299298298299298297298299299298298298299298298297297299299298299298298298298298299299299299299299299299298299298298298298298298298298298297297297297297297297297297297297297296296296296296296296296296296296296296296296296296296295295295295295295295295294294294294294294294294294294294294294294294294294294294293293294294294294 999999999305305304302303302301301302302301301302301300300302301301300299299298297296296295296294296296296294294293293293291292294294293293292292293292291292292291292293293292292292291290291290291289290290289289289289289289290290291291292293292294294295294292290291292293292291291290291292291291291291292292291292291291291290290290290290290288289290290289289289288289290290291290290290290290290290290290291291290290290290290290290290290291291291292291291290290292291291290289289290291291292292292292293293292293292293293293293294294294293293292293294293293293293293293294293293293292291292292292292293293294294295295295294294294292292290291291292292291293292294291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295295295295295294294294294293293293293293293293294293293294294294294294294293293293294293293293293294294294294294295294294294295295295296296296296297297298298299299299300300300300300300300300300301300300300301301301301302301302303301300300302303303303302303303303304303304304303303304304304305304304305304305304304304304305304304303304304305305305305305305305305304304304305303304304304304305305306306305306306307306306306306306306306306306306306307305305304305305305305305306305306306308308308308308309310310310311310310309310310309309308309309309309310310310310310310310311311311311312312313313313312312311312311312312312312312312311311311311311311311310311311311310310310309309309309308309309309309309310309309309309308308308308308307308308307307307306306306307306306305305306306305305305306306305305305305305305305305305305305305305305305305305306306305305306306305304305305304304304305305305305305306305304304304305304304304303304304304304304305305305306305304305306305306305305305304305304304303304304305307307303304303304305305304304305304304304304304304305304303304303302301301300301302301300301301301301301301301301301302301302302302303303302303303303303302302302302301301300299300299300300299299300299299299299299299300299298298298298299297297297298298298298299299299298299299299299299299298298298299299299298297297298298298299298298298299299299299299299299299299299299299299299298298298298298298298298297297297297297297297297297296296297296296296296296296296296296296296296296296296296296296296296296296296295295295294295295295294294294294294295295294295294294294294294294294294295295295 999999999999306305304304304302302300301300300301301301300301300299299298298298297297295295296296294294294294295294294291292293293292292294293292293293293292293292292293293292293292289292290291291291290289289288288289289289290292292293293293292291291294291292292291293293291291291290290289290291292291291290290291290290289287288289290290289289289290290290290289290290290291290290290290291290290291290291290290289290290290290289289290290291291291291290291289291292291291290290290291292291291291292293293293293293294293292294294294294293293294293293293292294294293293293296294294293292293292293292293293294294295295295295294294294294293295293291293296295294292292291999999999999999298298999999999999999999298297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295295295294295294294294293293293293293293293294293293293293293294294294294293293293293293294294293294293295294294295294294295295295295296296296296297298298298299299299300299299300300300300300300301301300300301301300300301301301301300301301302303303303303303303303303303302302303304304304304304304304304305305304305305304304305304304304304306305306305305305305305304304304304305304304304305305306306306306306305306306306307306306305306307307306306306305305305305304305305305306305306307308308307307309308309310310310310310309309309309309309308309308309310309310310311310310310311311311312312313312313311311311311311311312311311310310310310311311311311311311311311310310309310308308309308309308309309308309308309308308308308308308307307307308307307307306306306305305306306305306306304305304305306305305305305305305305305305305305305304304305305305305306306305306305306305305305304304304304305306305305305305305305303305304304304304305304304304304304304304305305305305305306306306305305306306305304304304304305304305305305305304304305304304304304304304304304304303304304303303302302301301301301301301300301301301301301301301301301302302302302303302303302303303303303302302302302301301301300300300300300300299300300299299300299299300299298298299298298297297298298299298298298299299298298299299299299300299299299299298299299299299299299299298299300299299299299299299299299299300299299299299299299298298298298298298297297298297297297297297297297297297297297297296296296296296297297297297296296296296296295296296296296296295295295295295295295295295294295295295295295294294294294294294295295295295295295295 999999999999306306304303302302301300300301301301300300300301300299299299299298298297295296296295294294294294294293294295294294294294293293294293293293293291291291291292293291290292291291291291289290290290289288288288289291290292292292293292292292290292292293292292292292292292290290290290290291291291290290290290290290289288289289289290287289290290289289289289290290291291290290290290290290289289290291290290290290289289289289289290290291290289290291291292291291292291291290291291292292291291292292292293294295295294293293293294295293293293293294294293294293293293292293292294293293292293294294293294293293295296295293293293293293290292291291293296293291291292291999999999999297295295999999295295999999298295294292294293999999999999999999999999999999999999999999999999999999999999999999999999999292294295295295295295294293293293293293293293293293293293292293293293293294293293293293293293294293294294294294295294294295294294295295295296296296296297298298299298299299299300299299300300301301300300301301301301302302302300300300301300300302303302303303302302302302303303303303303303304304303304305305305305304304305304305305305305304304304305305305305305305306305305304305304304304304305306305306306306307307306306306306305306306306306306306306306306306305305305305306305306306306307307307307308307307308309309310310309309310309309309309309309308308309309309310310310310310310311311311312312312312312312311311311311311311311310311310310310310311311311311311311311311310310309310308308308308308309309309309309309308308308308308308308308308307307307307306307306305306305305305305306305305306305306305305305305305305305305305305306306306306305306305306305306305305306305306305305305305304306304304305304304304306305305304305304305306304303305305305304305304305305305305304305305306307304305306305306304304304304304304305305304305305304304304304304304304304303304304304304304303303303302302301301301300301301301301301301301301300301301301302302302302302302303303303303302302303302302301301301300300300300300300300300300299299300299299299299299298299299298298298298299299298298299298298298298299298298299300299299299298299299299299299299299299298298299299299299299299299299299299299299299299299299299298298298298298298298297297297297297297297297297297297296297297297297296296296296296296296296296296295295296295295296296295295295295295295295295295295295294295295295295295295295295295295295295295295295295295 999999999999307306303304303302302300301300300302302301300301301299299299298298298297295296295295295294293294296294297296296296294294294293293295294292294293291292292292292291292291291291291291290289289289289289289290289291292292293293293292291292292292292292293293293292291291289289289290291290290291291290290290289288288288289289290289289289289289288290290290289290291292292290290290290289289289289289290290289289290289289291290291291290291291291291291292291292291291291291291291290291291291292292293293293295294293295293294295293293292290293294294293293293293292291292294293293293294294294293294294294293295293294294294291293292292294292292291291293289289292290999999999298298297297999999297999999999295295295293293293291999999999999999999999999999999999999999999999999999999999999999999999999999294295295295294294293293293293293293292293292293293292292293293293293293293293294293293293293293294294294294294294294294294294294295295295296296296298298298299298299299299300300301300300301301300301301301301301300300300300300300301300301303302303303303303303302302303303303303303303304304303305305304305305305305305304305304305305305304305305305305305305306305304305306305304304305306305306306306306307307307306307305306306306306306306306306306306306305305305305305306306307307306307307307308308307308308308309309310309309310310309309309309309309309309308309310311310310311311312312311311312313312311312311311311311311311311310311310310310310310311311311311311310310310309309309309308308308308309309308309309307308308308308307308308307307307307307307307307307306306305306306306306305305305305305305305305305305305305305305305305306306306305305306306306306305306306305305306305305306305304304304304304304303305305304304305305305305305305305305303304304304305305304304305305305306306305305305305305304304304304304304305303305305303304303303304304304304303303303303304303303304303302303303302301300301301301302301300301301301301301301301302302303302303303302303302303302302302302302301301301301301301300300300300300300300300300300299299299299299299299299299298299299299299300298299299298298298298299299299299299299299299299299298299299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298297297297297297297297297297297297297297297297297297296296296296296296296296296296296296295295295295295295295295295295295295295295295295295296296295295295295296295295295295295295295 999999999999999306303304304304303300301301300301301299300300299300299300299298298297296296294294295295293292297296298296296296294294293292292293294293293292292292291292291292292291291291291290290289288289289293292290291291291292293294291293293292291291291291292291292291291290289290290290290289290291291290290290289289289290289290290290290288289289289290289289290290291292292291290290289289289289289290290289290290289290290290290290290291291291291291291293292293291291291291292291290291292291292292293293294295295294296293295296294294293293293293293293293294292292293293292291293293295295295294294294294295294294294294293293292291292292291289290291292288293294293999999297298296296295295298295294293999295296295295292292292999999999999999999999999999999999999999999999999999999999999999999999999999294295295295294294293294294293292293292293292293292292292292293293293294294294293293293294294294294294294294294294294293294294294295295295296296297298298298298298299299299300300300300300301301300301301300300300300300300300301301300301303999302303303303303302303302302302303303303303304304304304304304304305305304305304304305305305305305305305305305305305304304304305305305304305306306305306305305307306307306306306305306306306307307306306306306306306306305305305305306306306305307308307308308308307308308308308309310309309310309309309309309308309309309309309309310310311311311311312311312312312312311311311311311310311311311311311311310310310310311311311311311311310310310309309309308309309309308308308308308308307307308308308308307307307307307307306306306306306305306306306306306306305305305304305305305306305305306305305305306305305306306306306306306306305305306305306306306306305304304305304304304305305305305305305305305306306305305305305305304304305305305304304305305306306306306305304306305305305304304303304304304304304304303304303303303303303303303303303303303303303304303303303302302301302302302302301301301301301301301301302302302302302303303303303303303303303302302302302302302302302302301301301301300300301301301300299299300299300299299299299299300301301301299299299299299299298299299300299299299299299299299299299299299299299299299299299299298299299299299299299299299299299299299298298298299298298298298298298298298297297297297297297297297297297297297297297297297297296296296296296296296297296296295295295296295295295295295295296296295296296296296296296295296296296296296296295296296295295 999999999999999306305305304304302301301300301299300300300300300300299299298299299298297296296296297293298296297295295295296294294293293293292293291293292293292293292292292292292292292291291291291290291292292291292291291292292292294295293292294294294292292293291292292292290290290290290289289290291290290290290290290290291290289290290290290289290290290290289290290291291292292292291290290289290289289290291290289289288289289289290290291291290291292292292292292291291291292291293291290292292291292293294294294295294294294295295297295293294294293292292293293294294293294293293295294294294296296295296295295295294294296295294293295293294293293294291290291295294293999999999999298299300295999293293293292294295296294294292291291293999999999999999999999999999999999999999999999999999999999999999999999999294294295295294293294294294293293293293292293292292293293293293293293294294293293293293294294294294295294294295293293294294294294295296295296297297297298298299299299299300300299299299300301301300299300300301300300300301301301301300302303302302303303303303302302302302303304303303303304304304304305304304304304304305305305305305305305307306306306306305305305304304305305305304305306306305306306306308307307306307306306306306306307306306306306306306306306307305305307306305306305307307307307308307307307308308308309309308309309309309309309309309310309309310310310310310311311311312311311312312312312312313312311312311311311311311311311311310311311311312312311311311311310310310309309309310309309308308308308308307307307307306308307307307307308306306306306307307307305305305305306306305306305305305305306306306305306306305304305306306306306306305306306306306306305305305305306306306305305305304305305306305305306306306305307305307306305306305304305303303304304304304304304306306306305305307305304305304304305305303303304304304304303303304303303303302303303303303303303304303303303304303304303302303303302302302302301301301302302302302302302303302303303303303303303303303302302302302301302303303302302301301300301302301302302302301301300300300300300300300299300300302301300299299299298299299299299299300300300299300300299299299300300300300299299300299300299299300300300300299300300299299299299298299298298299299299299298298298298298297297298298297297297297297297297298298297297297297297297297296296296296297297296296296296296296296296296296296296296296296296296297296296296296296296296296296296295295296296 999999999999999307306305306304304303302301301301299301299299299299299299299298298298296296295295298297298296295294294294296295294294293292295294294294293292293293292292294292292291292291292292291290291291291291292292291291291293294295295294293294293293292293292292291292293290290291291290290291291290291290290290290291292290289290291290290290290290290290290290291290290291292292291290290288289289289289290289290289288289290290290290290290291292292292293292292293292292291291290290291293292292293293295296295294294999999296295296296295295294294293293293293293293293292294294294293295294295296295295295295295295297298296294293294294296294293293292290294296295293999999999298298294300293294293293293294295295295293293292293292292999999999999999999999999999999999999999999999291999999999999999999999999294295294295294294294293293293292293293292293291293293293293292293293293293293293293293293294294293294294294294294294295295295295296296296296297297297298298298299299299300300299300300300299299299300300301301301301301301301301301302303302302303303303303303303302302303303303303304304305305304305305305304305305305305305305305306306306305306306307305306306305305305306305304305305306306306307307307307307307307306306306306306306307306306306306306306306306306306306307307305306306307307307307308307308307308308308309309309309309309309309309310310310310310310310310310310311311311312312312312312312312312312311312311311311311311311311311311311311311312312312312312311311311310310310311310310310309309308309308308307307306307308307308308307307308307307307307306307306305305305306306306306306306305305305306306307306306306306306307307307307307307306307306307307306306306306306306306305305305305305306306306306306306306307306306306306305305306306304304305304305305306306306306307305306306306308305305305304305305304304305305304305303303303303303303303303303302303303303303303304304304304304304304304303304303303303302302302303302303303302302303303303303303303303304304303303302302302302302302303302302302301302302302302302302302302302301301301300301300299300300300300300300299299299299299299299299299300299300300300300300299300300300300300300300300300300300300299299299300300299299300299299299298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297296296297296296296296296296296296296296296296297297297296297297296297296296296296296296296296295296296 999999999999304304306306305305305302302301301301300301299298299299298298298298296297295296294295296297296295295295294294294294294293295295293294294294294294292293292291293292293293291290291291291291290290290292291291290294292293293294294296295294293292292293291291292293292290291291291291291291289290291290291291290291291291291291289291291291291291290290291292291290291292292292290291290289288289289289289289289289289290290290291290291291291292291292292292292293292292291292291291291292292294294295296294295294295999296298297297297295296295295296295292292292295294294293295295294294295296297296296295296294297298298296295295295294295294293291291296295298293999999999299292295295296295294294293293294294292294293292291291291999999999999999999999999999999999999999999999999289289999999999999999999292294295294294294294294294293293293293293293293292293293293293293294294293293293292293293294294294294294292295294294295295295295296296296296297297297297298298299299299298300300301300299299300300300301300301301301301301301301301301303303302303303302303303304304303303303303304304304304305305305305304305305306306305306305305305306305305304306306305306307306307306306306305305306304305306306307307308308307307307307307307308308308307307307307307306307306306307307307307307306307307308307307308308307307308308308309309309309309309309310309310310310310310310310310311311311311311311312311312312312312312312312312312311311311311311312312311311311311312312313312312312311311311310310310310310310309309309309309308308307308308308308308308308308308307308308307307306306305305306307306306306306306306305305306305306306307306307307307308307307307307306307307308308307307307307306306306306306306305305305307306306306306306306306307308307305305306306305305305305305305306306306306306307305305306305305305305303304304305305305304305304304304303303303303303303303303304303303303304304304304304304304305304304304303304303303303302303303303303303303302303303303303303302303304304303303303302302302302302302302302303302303302302303302302302302302302301301301301301300300300301300300300300300300299299299299299300300300300300300300300300300300301301301301300300300300300301300299299300300300299300299300299299298298299299299299298298299299298298298298298298298298298298298298297297297297297297297297297298297298297297297297297296297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296 999999999999999999999304303304305304301299301299301300300299298298298297296297296295297297296297295296296295296296295294294296295294295294294294294294293293294293292291293293293292291291291290290290289288291290291292292292293291292294294294296296294292292290289291293292292291292292292291291291292291292292291292291291291291291290292292292292293292292292292293292292292292292292291290289289288289288289288289289288288290288289290292291291291293292292292293293292292294292294292292292291293295294295296295296297296297297298297298297297296296297297295293292295295295296294294295296296297296296296297295296295296295296294295292293295292292294291292292292294290999999999297295295296293293294293294290292293293291292291290289999999999999999999999999999999999999999999999999292999291292999999999999292292294294294294294293294294294293293293292293293293293294293295294294294294293293292293292294294294294295294295295295295295295295295296296296297296297298298298298298298300302300300300300300300301300301300301301302301302302301301301302302302303303303303303303304303303304304304304304304305305304305305305306306306306305305306306306306305304305305306306307307306305306306305305305306305307307306307307308308308308308308308308309308308307307308307307307307307308307306308308307307307307307307308308308308308309308309309308308309309309310309309310309310310310310310311311311311312312312312312312312312312312312311312312312312311311312312312311311312312312312312312311311311310311310310310310309309309309309309308308307308309308309308308308308307308308308307307307307307306306306307307307306306307306306306306307307308308307307308308308308307307307307307307308307307308307307306306306305305305306306307307306306306307307307308307306306306306306306305306306306305306306308308308308305306307306305306305305304305305305305305305304304304303303303303303303303303303303304304304304304305304305305305304304304304304304304304303303303303303303303303303303303303303303303304305303304303303303302302302302302302302303303302302303302302302302302302302301301301301301301301301301301301300299299300299300300300300300301300301300300300300301301301301302301302301301300300300300300300300300300300299299299298299299298298298298299299298298298298298298298298298298298299298298298298298297298297297297297297297298298298298297297297297297297297297297297297297297297297297298297297297297298297297297297298297297296297297296296297 999999999999999999999999304302302301302302301300303299300300299297296299299296296295297297297297298296296297298294295293294294294293293294295294294294292294293294293293292292293292291292291290290291290288291292291291293293293290293293293293295296294292293292293293293293292293292292292292292291292292291293292292292292291292292292292292293293294293293293293293291293293292292291291290290290289290289289289288288288289291288289290291291291291292291292292292293293292292293293293292292292294294295295296999297298298999298298299298296296298298297296296293294295296296295295295296295296295297296297297296296294296294295295294293294294293294293291291290286291291285999999295295297295294294293293293292291292291291291291290289999999999999999999999999999999999999999999999293291999293294999999999293292293295295294294293293294294294293293294292293293293293293294294294294293293292293293293293294294294294295295295295295295294295294295296296296297297298298298298299299299300300300300300300300300301300300301301301302302301301301301300301302303303304304303304303303304304304305304304304305305305305305305305305305305306305306306306306306306306306306306307307307306306306306306305305306306306307307308308308309308308308309308309309309308308308309307308308308308308307308307308308307307307308308308308308308308308309309310309309309310309309309309310309310310310310309310311311312312312312312312312313312312312312311311311312312311312312312312312312312312312312312312311311311311311310309310310309309310309309310309308308308309309309308308308308308308309308307307307307307306307307306307307307306306307306306307307307308308307307308308308308308307307308308308308308307307307308307306306306306307306307307307306306305307306307307306306305306306305306307306306308307307307307307307307305306306306306305305305304305305305304305305303304304302303303303303303304303303304304304304304304304304305305305305305305305304304304304304304304304304303303304303303302302303303304304305305305304304304302302302300301302301302302303302302302302302303302302302302302302302302302301302302301301300299299300299300300300300301300301301301300301301301301301301301301301302301301301300300300300300300300300300299299298298299298298298298298298298298299298298298298298298299299299299298298299298298298297297297297298298298298298298298297297297296298297297297297297297298298298298298298298298298298297298298298298298297297297297297297297 999999999999999999999999999999303303302999300302299299298300298299298298297297296296296296296297297297296297297296296296295294295294294295295295294292293293293294291291292291293292292291291290289289288289291291289291290292292292291292292292294294292292292291292292292291293292292291293293292292292292292292293292292292293293294292291292293293293293293292293292292292292291291291290290288289288290289288288289288289289290290289290290292292291291290291292292292294293293294294293292292294295294295296293999296297999999302299298299297298297297296296297296295295296295298295296296295296297296296297296297294293295294293296295295295294294293291291290287287291287284285288292293295295293292290292292291292291291291291291291290999999999999999999999999999999999999999999293292293293293294294999294293293294295294293293293293294294294293293294293293294294294293293293293293292293293293293293293294294293295295294295295295295294294294295295295296297297297298297298299299299299300300300300300301301301301301301302301301302302302301301301301302303303304303303303303304303304304305305305304305305305305305305305305305305305305306305306306306306306306306306307307306306306306306306306306306307307306307307308308308309308308309309309308308308309309308308308307308307308307307307308307307307307307307307308308308308308309309310309309309309309309309309310309310310310310310310311311311311311312312312312312312311311311311312311312312311312312312312312312312312312312312312311311311311311311310309310310309309308309309309308309309309309309308308308308307307308307307307306306307307307307307307307307306306307306306307307307307307307308309308308308308307307308308308308308307307307307307308307307306306307307307307306307307306307307307306306306306306307306307307999999307307307308308307305305306305306306305305305305305304306304303303304303304302303303303303303303303303303304304304304305304304305305305306305305305304305305305304304305305304304304304305303303303303303304304305305305304304304303303302302301302302302303302302302302302303303303302302302301303302302302302303302302301300300300300301301300300300300301301301301301301300301301301302302302302302301301301300300300300300301300300299299300298299298299299298299298298298298298298298298298298298299299299299298298298299298297298298298298298298297298298297297298297297297297298297297298298298298298297298298297297297298298298298297298298298297297297297297297299 999999999999999999999999999999999999999999999999301299298298298298297297298297296296296297296296297297296297297296295294295294294294294294294294293292291291292293293294293293292291292291292292289290290289290288290289290292291291290290293293293292294293292292293292292293293292292292292292292292292292293293292292292292292291292292291292292292293293292292292292292292291291291290289289288288289289288287288289290288290291290289289289290290291290290291291291292292293292293293292292291293292294294293999999298298999999300298299301297295296297296295297296294296295295295294296294294293295295296295296297294293297296296295295293295293291290288287288289288286286287287286289292293294293291291291291291291291291291291291291290999999999999999999999999999999999999999999293294294294294293292999294294293294295294293293293294295294294293294294294294294294294294294293293293294293293293293294294294294294295293295294295295294294294294295295295296296297297297298298299299299299299300299300301301301301301301301301301301302301301302302302302302303303304304304304304304303304304304305305304305305305305306306306305306305305305306306305305306306305306307306306306306306306306307305305306306307307307308308308309309309309309309309309308309310310309308308309308308307307307308308308308307307307307307307308308308309308308309309310309309309308309309309309310310310310310310310310311311312311311311312312312312311311310310311311311311311312312312312312311312312312312312312311311311311311310310309309309309308309309308308308309309309309309308308308307307308307307307307307307306307307306307307307306307307307306306307308308307307307308308308309308308308308309309309309308308308307308308308308307307307307307306306307306306306306307307306306306306307307307308308308308307308307308308307306305305305305305306305304304304304304303303304303303301303303302302303304303303303304304304304305305304305305305305305306306305305305305305305305305304305305305304304304303303303304304304305305305304304304304303301302301300300300301302302302302302302302302302302303303302302302302302302302302301300300301300300300300301301300300301301301300300300301301301301301302301302301301300300300300299300300299299298299298298298298298298297297297297297297297298298298298298298298299299298297297298298297297297297297297297297297297297297297297297296297297297297297298298298297298298298298297297297298298298298298298298298298298298297297298299 999999999999999999999999999999999999999999999999999299299296297297297297297295295296296297297297297297297296296294293293294295295295294293293293293292291290291290293293293292292292292293292292290289291289290290291290291292293292291292290294294294294294293293292292293293292292292293292292292292292293294294293293293293292291291292293293293292293291293293292292291292290291290289288288289289289288287288286289289289289289289289289289290290290291291291292292292293293292292292293290293292293294294295999999298999999999999300302299297298297297297294296295294294294296294294294295294294295294296296296295296294294296295296295293294293289289288289291288287285284999999999287294296296293291292291291291291291291291291292292291999999999999999999999999999999999999999999293293294293293292292999292293293294295294294293293294294294294294293293294294293293293293294293293294294293293293294294294294294294294293293294294294294293294294295295296296296297296298298299298299299299300300300299300301301300301300301301301301302301301301301302302302303303303304304304304303304304305305304304305305305305306306306305305305304305305304305305305304306305306308306305307307306306306306305306306307307308308308308309309309309309309309309309309308309309309308308310309308307308309309308307307307307307307308308308308308308307308308309309309309309308309308309309309309309309310310310310310311311311311311312312312311311311310310311310310311312311311311311311311311312312312311311311311311311310310309309309309309308309308308308309308309308308308308308308307307307307307307307307306307307307307306307307307307307307306306307307308307307307307308309308309309309309309309309309308308308307308308306308308308307306306307306307306308307306306307307307308307307308307308307307307307307307308308307306306306305305305305305304304304304303303303303303303302302302303303303303303303303303304304304305305304305305305305305305305304305304304305305304305305305304304303304304303303302303303303304304304303303303303302302301300300300300300301301301302302302302302301302302302302302302302302303302302301300300300300301301301301301300301300301301300300301301301301301301302302301301301301300300300300299300300299299299299298299298299299298298297298297297297298298298298298298298298298298298297298298297297297297297297297297297297297297297297297297297298298298298298298299298298298298298298298298298298299298298299298298298298297298297297299 302999999999999999999999999999999999999999999999999301301298296297296296297297296297296295297297297298298295295294294294295295294294293293293293293294294294293293293291292292291292292292293292291289289289290290291291292293291292292293293294293294295294293292293293294293292292293292292292293292293293294294293293292292292292292293293293293293292293292292292292292291291290289288288288289288289289289288286288288288288289289289289289290291290291292292292292292292293292292292292293295296295293294999999999999999999999999999999300298297297296296295295294295295294293295295294295295295296296296296296296296296296297296296296293291290287290289289290289288286285999999999290294296296294292291292291291290291291292292293292291289999999999999999999999999999999999999999999292293294294292291999292293293294294292293293293293293294294294294293293293294293293293293293293294294294294294294293294293294293293293293293294294294294294294294295295295295296297297297298298299298299299299299299300300300300301300301301301301301301301302302302302303303303303303304304304304304304305304305305305306305305306306306305305305305305305305304305305305306305305306306306306306306306306306306306306307307307308308308308309309309310309309309309308308309308309308309310310310309309309309308308307307307307308308308308307308308307307308308309308308308308308308308308308308309309309309310310311311311311311311311311311311310311310310310311311311311311311311311311311311311311311311311310310310310310309309309308308308308308308307307309309308308308308307307307307307306306307306307306306307307307306307307307307307307307306307307307307307307308307309308308309309309309309309308308308307307307308307306307309308307307306307307307306306307307306307308307308307308308309309307308307307307307308307307306306306306306305305305305305304304303303303304303303303303303303303303303303303303304304305304304305305305305306305305305304305305305305305305305305304305304304305305304304302302303304304304304304303304303303302302301301300300301300301302303302302302302301302302301302302302302301302302302302301301300300301302302301301301301301301301301300300301301302302301302302302302301301301301301301300300299300299299299299299298298299298298298298298298298298298298298298298298298298297298298297297297297297297297297297297297297297297297297297297297297298298298298298298299299298298298298298298298298299299299298298298298298298299298297297299 303999999999999999999999999999999999999999999999999999301297298298297298298298296297297296297297298299296297297295295295295295294293294292293293293294294294293293293293292293293291293292292291290289288290290290290293292293293294295294294293294295295293294294294293293293293293293293293293292293293293293294292293293293293293293292292292293292292293292292291292292291290290290289288288289288288289289288289289288288289289287289289290290291291292292292292292293293293291293293294294296297294295294999999999999999999999999999999999999296296297296295294295294295295295295296296295295295296296296296295298297297295296296295295290290288289290291292291289288289287999999290291294296295293292292291291291291292291292292293294292999999999999999999999999999999999999999999999999293293293292291999292293294295294293293293294294294294294295294293293294294294293294294294294295294294295294294293294294293293293293293293293294295294295295294295295295295296296297297297298299298299299300299299300300300300300301301301301301302302302302302302303303303303303304304304304304304304304305305305305306306306306304305306306306305305305306305305305306306305306306307307306307307306307307307306307307307308308308308308309309309309310309309309309308309307308308309309309309309309308309308307307307308308308308308308308308308307308308308309308308308308308308308308308308308309309310310310311311311311311311311310310311311311311311311311311311311311311311311311311311311310311311311310310309310310309309309308308307307308308308308308308308308308307307307307307306307307307307307306307307307307307307308307307307307307307307307307307307307307308308308308309308309308308308308308308308308307307307306307308307307307307307307307307307307307307307307307308306308308308309309308307306307307307306306306306306305306305305305305305305305304303304304303304304304304303303303304303304304304304304304304305305305305305306305305305305305305305305304305305305304304304305305305304303303304303304304303304303303303303303302301301301301301301300301302302302302302301302302302302302302302302302302302302301300300301301302302301301301301301301301301301301301301301301301302302302302302301301301300301300300300300300300300299299298298299299298298298298298298298298298298298299299298298298298298297297297297297297297297298297297297297297297297298297298298298299299299299299300299299298298298298299299299300299299299299298299299299299299298299298 303999999999999999999999999999999999999999999999999999999297299298298298296296298296297296295297297299298296295295294294294295293293293293293293293293293293295293293293294293293292293293292290290290290290290291290292292291292293293293295295294293294293293293293292293294294294294293293294293294296295293293293294293294294293293291292293293293291292292293292292293291290291289289288288289289288288289288288289289288289288288288290290290291292292291293292291291293293293292294295295297297296999999999999999999999999999999999999999999296293295295295294296296296295296296296296295297296295296296296297297297295296296295294290290289289291291291292292289287287287285288292293295295296294292292292292292292292292292293294293293292999999999999999999999999999999999999999999999293293293292291291292293294294293293293293293294294294294294294294294294294294294294293294295295295295295294294293293293293293293293293293293293294294294294295295295295295296296297297297298299299299299300299299299300300300301301301301302301302302302302302303303303304303303304304304304304305305305305305305305306306306304305305306305306305305305305305305304305306306306306306307307307307307307307307307307307308308309309309309310309309309310309309309308308308309307308308309308309308308308308308307308308307308308308308308308308308308307308308308308308308308307307307308308308308308309309310311310311311310310310311311310310310311311310311311311310311311311311311312311311311311311311311310310309309310309309308308308307307308308308309308308308308308308307307307307307306306307306306306306307307307307307308307308308307307307307308307307308308308308308309309308309309309308308308308307308308307307307306307307306307307307307308307307307307307306306306308308307307308308308308308307306307307307307307306306305306306306305305306306305305304304304304304304304304305304304304304304304304304304304305305304305305305305306305305306306305305305305305305305305305305305304305304304304304304303304303303303303303303303302302302301302301301301301301301302301301302302301302302301302302302301302302302301302301301301302302303302301301301301301301302301301302302301301302302301301301301301301301301300300301300301300301300299299299299299298298299298298298298298298298299299298299298298298298297297297297297296297298298297297298297297297297297297297298298298299299299299299299299299299298299299299299299300300300299298299299299299299298297297298 304303999999999999999999999999999999999999999999999999999999297299299298299298298300300299297295297298297295293294293293294295294294294294293293292292293293293294294294293292292292293292292288289289289291292292291290293293293294292295295294294292293294293293292293293294294294294293293293294294294294294294293293293293293291292291291291292292291292292292293291291290290288289288289290291290289288289289289288286285288288289289290290290291291293292292292292292293293294294295295297295295999999999999999999999999999999999999999999999294299297296296294294295296296296297295296295296296297297297297295296296294298296292290289289288288290290291292290286286285285290291293293294294294294292292292293292292292292292293293294294294293999999999999999999999999999999999999999999999292292292291292293293294294293293293293294293293294294293294294294295294295294294295295295295295295295294294293293293293293293293293293294293294294293294295294295295295296296296297297298298299299300299300300300300301300301301301301302302302302302302303302303303304304304304304304305305305305305305305305306305305305306304305306305305306305305304305304304305305306307306306306306308307307308307307308308308308307309309309309310309310310309310309309309308309309308308309307308308308308307308309308308308308308308309308308308308308308308308308308308308308307308308308308308307308308309309310311310310310310310310310310310310310310310310311311310311310311311311311311311311311311312311311310310310309308308308308308307307307307308308308308308308308307307307307307306307307307306307307307307307308307308308307308307308307308307307308307308307308308308309309308308308309309309309308307308308308307307307307306306306306306307307308307306306306307306306307308308308309309309308308309308307307307306307306306304305305306305305305305305305305305304305304305305305305305305305305304304304304305304305304304304305305305305305306306306305305305305304305304304305305305304304305304304304304304303303303303303303303303303302302302302302302301301301301302302301301302302301302302302302302301302302302302302302302301301302303303303302301301301301301301302302301301301301301301301301300301301301301301301301301301301301301300299300300299299299299299299298298298298298298298298298298298298298298297297297297297297297298296298298298297297298297298297297298298298299299299299299299299298299299299297300300300300299300299298299299299299298298297298301 304303302999999999999999999999999999999999999999999999999999999999999300301301300300300301300299297296297295293293293294294295296296296295294294293293294294295294292293293293293293291292293291291289290291294293292294294294294298296296295294293293295294294294294293294294294294294293294294294295294294294294295293293293293292292292292292292292291292294293292292291291291290290289290290290290290289291292290290290288289289289290290290290289290291291291293293292293293294294294296294295296999999999999999999999999999999999999999999292293301299297296297297297296297295294295296295294295296295295297295296297295294291289287290289286284285288290289286286285284288291292292292292292293293292293292292293293293291293293293293294294293293999999999999999999999999999999999999999999291291290290291292293293293293293293293293293294294294293293294294295294294294294294295295294295295294294293293293294293293293293293293293293293293294293294294295294295295296295296297298298298299299300300300300300300300301301300302301301302302302303303303303303303304304304304304305305305305305305305305305306305305306305307306306305304306305304304304304305305306306307306306306307308308307307308308309308308307309309309309309309309309309309309309310310309309309309308308308309308308308308308308308308308307308307308308308307307308307307308307307307307307308308308308308308308308308309310310310310309309310310310310310310310310310310310310310310311311311311311311311311311311312311311310310309309309309308308307307307307308307307307307308308307307307306307306306306307307307307307307307308308308308308308308307307308309308308308307308309309309308309309309309309309308309309308307307307307307306307306306306306306307307308307307307306307306306307307308307307308308308308308308307307307306306306306306306306306305305305305305304305305304304305305305305305305304305304304304304304304305304305304305305304305305305306305305305305305305304304304304304304305305305305304305304304303304304303303304303302303303303303302302302302302301301301302301302302302302302302302302302302302302302302302302302302302302302302303302303302301301301301301301301300301301301301301301301301301300301301301301301301301301300301300299299299299299299299298299298299299298298299299299298298298297298297297297297297297297296298298297298298298297297297297297298298298299299299299299299299299299299299300299299300300300300301300299299299299300299298298298298302 304303302999999999999999999999999999999999999999999999999999999999999999303302301301302300299299297297296293292293294295295296295296295295296294295295294294295292293293293293294293293292290290292289291291292293294295294295294295295296295294293294295294293294293293294294293293294294295295296296295294294295294294294294293292292292292291292292293294293293292292292293292292291291291290291292291288291292289288290289289290290290291289289289289291292293295293293293295294293295295294297999999999999999999999999999999999999999999999293295299300299298300298296297296296294296297296296296296296295297297296295293289288287287289289286283999289287287282282283287287290291291291292292293294294293292292292293293293293293293294293293293293292291999999999999999999290290999999999999289290290290291292293293292292293293293292293294294294293294294294295294294294294294294294294294294294293293293293293293292292294292293293293292293293294294294294294294295295296296297298298298299299299299299300300300300301301301301301301301302302302302303302303303303304304304304305304305305305305305305305305306305306305305305305305305306306305304304305304305306305307307306307307308308308307308308308308307307308308308308309309309310309309309309309309308308308308308308308309309309308308308308307308307307307307308308307307307307307307307307307307307307307307307307307307307308309309309309310309309309309309309309309309309309309310310310310310311311311311311311311311311311311311310310309308308309309308308307307307307308307307307307307307307307307306306307307307306307306307307308308308308308308308308308308308308308309309309309309309309309309309309310309309308309308309308307307308307307307307307306306306307307307307307307307307306306307307307308307307307308308307307306306306306306305306306306306305305305305305305304304305305305305305305305307306305304305304304303304304304305305305305305305305305305305305305305304305305304304304304305304304305305305306305305305304303303303303304303303303304303302303302302302302302303302301302302302302303302302302301302302302302302302302302303303302302302303303303303304303301301301301301302302301300301301302301301301301301301302303302301301301302301301300300300300300299300299299299300299299299299299299299299298298298298298298298297298298298298298300299298299299298298298298298298298299298299299299299299300300299299300300299299300300300300300301299300299300299299299299300300300302 304303302302999999999999999999999999999999999999999999999999999999999999302302300300301298298297297297295293292293294295295295296295296296296294295294295294293293293294293293294293292292290292292290291292292292292295293292292295295294294294293293294293293294293294294293293293294294295295295295294293294294294294293293292291292292292291292293291293293293292292292291291291291290291290291292291291291291289287290289290291291289289290289290291291294295294293292295297295295296294296298999999999999999999999999999999999999999999999999297299999299302302300298296296296296297297297296296296296296295294295289286286287288289290288285999999999999999285285287291292292292291291292292293293293293294293294294294294293294294294293293293293293293292292999999999999290290999999999999289290290291292293293292293293293293293293294294294294294294294294294294294294295294295294294294293294293293293293293293293292291292293292293293293293293293294294294295295296297297297298298298299299299299299299300300300300300301301301301302302302303302303303303304304304304304305305305305305305305304305305305306305305305305305305305305306305304305306305305306306306306306307307307308308308307308307308308307307308309309309309309309309309310309309309309308308308308308308308308308308308308308308308308308308307308307308308307307307307306306307307307307307307307307308307307308308308308309309308309309309309309309309310310310310309310310310310310311311311311310311311311311311311311310310309309309309308308307307307307307307307307307307307307307307307306306307307307307307307308308308308308308309309310309309310309309309309309309310310309309309309309309309309309309309309309308308308307307307307307307307306306306308307307307307307307307307307307308308308308308308308307307306307307306306306306307306306306306305306305305306304305306306305305306306306305305304305305305305305304304304304305305305305305305305305305305305305305305304304305305305305305305305306306306306305305304304304304304303303304303303303303303302303303302304303302303303303303303302303302302303302303302301302302302302303303302303303303303303304303302301301302302302302302301301301302302302302302302302303302302302301301301301301301300300300300300300299300300300299300299299300299299299299299299298298298298298298298298298299299298299299299299298298298298298298299298298298299299299299299299299299299299299299300300300300300299299300299299299299299299299299301 303303302302999999999999999999999999999999999999999999999999999999999999999302300300300301298298297296295294293295295296296295296295296296294295295295294293293294294293294293293294293292293295294293294294294295292293294291293295293294294293294295294293294294293293293293294294294294295295294294294294294294294294293292293292292292291290293292292293291293292291293292292292291292291292291291291291290290289289290289290291291291289289288289290290294292293292293295295295296295296297999999999999999999999999999999999999999999999999999999999999999304302300296295296297297297298296296297295295294292291290287287288288289291291288284291280285290291291292293293294295294293293291292292293293294294294294294294294294296295294293293293292292293293293291291289288285999999999999289290290291291292293293293293293293293293294294294294294294294294295294294294294294294294294294294293294293294293292292293293292292292292292293293293293294293293294294295295296297297297298299299299299299300300300300300300300301301302302302302302303303303304303304304304304304304306306305305306306305305305305305305306305306306306306305305305305305306306306306305306306306307306307308308308309308308308308307307308309309310309309310309309309310310309309308308308308308308308309309309309309309308308308308308308308307308308308307308308307307307306306306307307307307307307308307308308308307308309309309309309310310309309310310310310310310310311311311311311311311311311311311311311311311310310309309309309308308307307307307307307307307307307307307307307307306307307307307307307308308308308308309309309310309309309310309310310310310310310310310310309310310309310309309309310309309308308308307308307308308308307307307307308308307307308308307307307307308310308308308308308307308307307307307307307307306307307306307307306306306306306304306306305305306306306306306306305305305305305305304304305305305305306305305305305305305305305304305304305305305304305305305305305305306306306305304304303303303303303303303302302302302302303302303304303303302302302303302302302302303303303303303302302302302303303303302303303303302302302302302301300301301301301301302301301301302302302302302302302302302302302302302301301301301300301300300299299300300300299300299299299300299299299299298299298299298298298298298297297298298298298297297297297298297298298298298298299299299299299299299299300299299300299300300301300300300299300300299299299299299300300300302 303303302302999999999999999999999999999999999999999999999999999999999999999999302300299297299298298297295293293294296295296295295295295295295294293293294294294293295293292293294293293292294294294294294294294295296294295294294295294294293293293294294294293293294293293293293294294294295293294294294294294294294293293292292293293292292292292292292292292293292292293293293292292292291291291291291291289290290290289289290290291292290292290291291294293292293293293293294295294299298999999999999999999999999999999999999999999999999999999999999300301298999999297296297297298297297296295296294291292291293291290289289289290291291289286282282287291292293294294295294295295295295293293293294294294293294294294294294294296294294293293293293293292292292292292291289288999999999289290290291291292293293293293293293293293294294294294294294294294294294294294294294294294293294293293294294294293293293293293292291292292292292293293293293293293293293294295296296297297297298299299298299299299300300300300300301301301301301302302303303302302303303303303304304305305305305305305305306305305305305305305305306305304305305304305305306306306306306306306306306306307307306307308308308309308308308309308308309310309309310309310309309309309309309308308309309309309308308309309309308308308309308308308308308308308308307308307307307307307307306307307307307307307307308307307307307307308308308308309309309309309310310310310310309310310310310311311311311311311311311311311311311311310309309309308307307307307306307307307307307307307307307307307307306306306306306306307307308308309309309309309309309309309310309310310310310310309310310310309309310310309309309309309309309308308309308308308308308308308308307307307307307308307308307307307307308307309308308308308307307307307307306306306306307306307306307307306306306306306305306304306306306305306306306306306306305305305306305306306305305305305305305305305305305305305305305304304305304304304305305305305305305305305305305304303304304304303303303303303302302303302302302304304304303302302303303303303303303303303303303303303302303303303303303303303303302302302303302302302302301302302302302302303302302302302302302302302302302302302302302302302302302301301301301300299300300299300300300300300300299299299299299299299299299299298298298298297297298298298298297297297298298298298299298298299299299299299298299299300299299300300300299300299299300299299300300299299300299300300300300303 304303303302999999999999999999999999999999999999999999999999999999999999999999999301297299298299298298295291293295294296296296297293295294296292293293293294294294294294294293294292292291294293294294295295295294294294296293293294295294294293293294294294294294294293293293294294294294294294294294295294294294294293293293293294293292293291292293293291292292292293293293292292291291290291291290290291289290289290289289290291291292291290291290291293293294293295295294292292294296300999999999999999999999999999999999999999999999999999999999999999999999999999999999296298298296297296296295293293292293293293292291291290290291290287284282288292293294294295295295295295296295295295295294293294293294294294294294295294295294295295294293292292293292292291292292291290289999291290290290291292293293292293293293293293294294294295294294294294294294294295294294294294294294294293294294294294293293293293291291292292292292292293293293293293293293294294294296296297298298298299299299299299299300300300300300301301301301302302302302303303303303303304304304304304305306305305305305306305305305305305305306305304305304305305305306305305305306305306306306306307308307307307308308308309309309309309309308308309309309309309310310309309309309309308308309309309309309308309309309309309308309308308309309308308307307307307307307307307307307307307307307307307307308307307307307307307308308308309309309309309310310310310310310310310311310311311311311311311311311311311311310310311310309309309308308307307306307307307307307307307307307307308308307306306306306307307307308308309309309309309309309310309310310310311310310310311310311311311310309310309309309309309309309309309308309309309308308308308308308308308308308307308308308307308308308307308308308308308308308308308307307306307307308306307306307308307307306306306306305305304305306306305305306306306306306305305306306306306306306305306305305306305306306305305305305305304305305305305305305305304305305305305305305304303304304304303303303304303302303302303303303303304304304302303303303303303303302303303303303302302302302303303302302302302302302303303302302302303302302302302302302302302302302302302302302303303302302302302303302302302302302302302301300300300300300300300300300300301300300299299299299299299299299299298298297297297297298299297299297299298297297299299299299299299299299299300299299299300300300300300300300299299300299300300300300301300300300300300300300300303 304303303304999999999999999999999999999999999999999999999999999999999999999999999999999298297298297297294292293294295297297298296293295296296295293295295296296296296296296295294293292294294292293294292295296295295294296296294295294293294294293294294294293293293294294294295294294294295294294294294294294293293294293292294293293293292292292293293292293293293293293294293292291291291290291291291291290290289290289290291291291292290292291290291294294295293291292291289292293298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297297296295295294294293294293293293292292291290288286286290286291292293294295294295295295296295295295295295295293293293293294293293293294295295293295294293293292292291292292291292291291291289290290291292292292292292293293293293292292293293293294294294294294294294294294294294294295294294294293294293293293294293293293293292292292292292292292293292293293293293293294294294295296297298298298299299299299299299300299300300300300301301301301302302302302303303303303304304304304304305305305306306305305305305305305305305305304305305305305306305305305305304305305305306306307306307307307308307307308308309309309308309308308308309309309310310309309309309309308309308308309308309308308309309309309310309310309309309308308308307307307307307307307307307308307307307307308308308308307307307307308308308308308309309309309309309309310309310310310310311310311311311311311311311311310310310310310310310309309308308307307307307307307307307306306307307307307307308307307306307307307308308308308309309309309309309310309310310309310310310311311310310310310309310310309309309309309309308309309309309309309308308308308308308309308309308308308308308308307308308308307308308308308308308308307307307307306306306308307307307307307307306306306306306306304306306305305306306305306305306306306305305305305305305305306305305305307307306306305305305305305305305304304304304305305304305305304304304304304304303303304303304303304302302302302303303303303303302304302302303303303303303302303303303303302303302303303302302302302302303303302303303303303302302301301302302302302302302302302302302303302303303302302303303303302302302302302302302301301301301300300301300300300300301301300300300300299300299299299299298298298298297299299298298298299298299299299299299299299299299299299299299299300300301300300300300299299299300300300300300301301301301301300300300300300303 304303999303999999999999999999999999999999999999999999999999999999999999999999999999999999301300299298295293294295297297298298297298298297297296295295296295295295296295294294294293294293297294294295295296296296295295297296296296295294295296294294295295294293294294294294295294295295295294295294294294293293294294293294294293292293294293294293293294294294294294294295294293292291292291292291290291291291291292291291292291291293291293294293292296294293291291291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298295293294294294295294293293293292291289287284285288290291292293294294295294295295295295295296296295295294294293295294293294294294293294294295294292291291292292291292292291291291291291290290288292292292292292293293293292292292293293294294294294294294294294294294294294294294294294293294294293293293293294294293293292293293293293293293293292293293292292293294293294294295295296298299298298299299298299299299300300300300300301300301301301302302302302303303304304304305305305305305305306305305305304305305305305306305305306306305305305305305305305305305306306306306306307307307307307307308308308309309308308308308308308309309309309309308308308308309308308309308308309309309309309309309309309309309309308308308308308308308308307308308308308307308308308307308308308308307307307307308308308308308309308309309309309309309310309310310309310310311311311311311310310310310310310310310310310309309308308307308307307307307307307307307307307307308308308308307307307307307308308308308309309309309310310310310310310310310310310309309310310310310309311311309309310309309308308309309309309309308309308308309308308309309309309309309308308308309308309308308308307307308308308308308308307308307307306307307307307307307306306306306306306306306307306306305305306305305305305305306306306306306305306306306306306305306306306306305305305306305305304305304304304304305305304304304304304304304304304304303303304303303303303302302303303303303303304304304302302302302304303303302303303303304303303302302302302301302303302302303302303302302303303303302302303303303302302302303302302302303303302303303303303303303303303303302303303302302302301301301301301301301301302301301300299301300301300300300300300300299299300299299299299299299299299299301300299299300299300300300300300300300300301302300300300301301300301301301301300301302302301301301301301301301300302 303303999306999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296293291291292295295296297297298298297295293295294295295295296296297294293293292292294294294295295294295295295294295297296295295295295295294294294294295294294293294293292293294295296295294294294294294294293293294292293294293293295293293294294294294295294294294295295295292293292293292292292292290291291291291292292293292292294294294296295294296295291293291293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294294294295294294292292291291287286285286290292293294295295296295295296295295296296296296296296296295294294295294295295295295295294293293293291292292292293292292291291290291291289290291292293293294294293293293293293293294294294294294294294295294294294295294294295295294294293293293294294294294294294293293293294294293293294293293293293293292294293294294294294294296296299299298299300299299300300300300301300300301301301301301302302303303303304305304304304304305305305305306305306306305305305306306305306306305306306307306306305305305305305306305306306306306307307307307308308308308308308308309308308308308308309309309308308308309308308308308309309309308309308308309309309309309308309309309308308309309308308308308308308308308308308308308308308308308308308308308308308308308308308308308309309309309309310309309310310310310310310310310310311310310310310310310310310310310309309309308308308308308308308307307307307307307307308308308308309308308308308308308309308309309309310310310310309310310310310310311311311310310310310310310311311309310310309309309309309309309309309309309309309309309309310311310310310309309309309310310309308308308308307308308307308308308308308308307307307308308307307307307307306306306307307306306306306305305305305306306306306306306306306306306306306306305306306306306307306306306305305305305305305305305305305305305305305305305305304304304304304304303303303303303303303303304303303303303304304304303303303303303303304303304304305304303303303302302302302302302302302303303303303303303303302303303302303302303302303302302303303303303304304304304304304303303303303303303303303302302302302302301301301301301302302301301300300300301300300300300300300300299300300300299300300300299300300300299299300300299300300299299299300301300300300300301301301301301301300301301301301303301300300301300301301300299301 303303304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295294292294293294295297298298298297296296295295293294295295294295294293294293294294294295295295295295294293295295296296295295295294295294291294293294293293294293294293293291294294294293294294293293293293293293293293293294292292294294294294294296294295296295295294293294293291292291291292291291290290291290291291293291292292292293293293293292291291291292291294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294294295295294292290999292289288287287291293295295295295295295295296295296295295297296296296296295294295295296295294295296292291292292292292292292292292292292291290291291291291291293293294294293293293293293293293293293293294293294294294295294294294294294295294295294294294294294294295295294293294294294294294293294293293294294293293294293294295294294295295295295296298298298298299301300300300301301301301301302301302302302302302303304304304305305304304305305306306306306306305305306305307305306306306306306306306306306306306305306306306306306306306306306306307307307307308308308308308308309309309308308309309309308308309308309309309309309309310309309309309309309309309309309309309309309309308309309308308308308308308308308307308308308308308308308308308308308309308308308308308309309309309310310309309310309309310310310310310310310310310310310310311311310310310310310310309309308308308308308308308308307307307307307308308308308308308308308308308309308309309309309309310310310310310310310310311311311311310310310310310310310310310309310310309310309309309309309309309309309309309310309309310310310309310310309310310309310309309309309308307308307308307307307308308308307307307307307308307307308307307307307306306306307306306305305306306305306306306306306307307307307306306305306305306306306306306306306306306305305305305305305305305305306305304304304304304305304303304304303303303302303303303303303303303303303304302303303303302302303304304303303303303303303303302301302302302302302302302302303302303302303303302302302302303303303302302302302303303303303303303304304303303303303303303303303303302302303302301301301301301301301301301300301300300300300300300299299299300300299299300300300300300299299300300300299299300299299300300300300300300300300300300300300300300301301302301302302302301301301300301301300300300300299301 302303303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296293294290293294297298300299298298296296296294295294296296295294294295295295295295296295295295296295294294295294295295295296294293292293294295294294293294294293293292293294294293294294294294293293293293293293293294294293293293294295295293296295296295296295295293293292292291290291291291289289290290289290291291291291292293293293293292291290290292293294294294291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293294294295295292999295296296294295295295295294295295295294294294294295295296295296296296296295295296294293295295294294295294293292292293291291291292292292292291292291290291291291292293293293293293292292292293293292293293293294294294293294294294293294295295294294294294294294294294294294294293293294294294294293293293293293294294292293293293294295295294295295296296296297298298298298300300300300300300300301301301301301302301302302302303303304304304305304304305305305305305305305306305306307306307306306305306305305306305305305305305305305305305305306306306306307307307307307307307307307307307308308308308309309308308308308308308308309309309309309309309309308309309309309309309310310309309309308309309308308307307308307307307307307307307307308308308307307308308308308307308308309309308309309309309309309309309309309309309310310310309309310310309310310310310310310310310309309309309308308308307308308308307307307307308308308307308309309309309308309309309309309309309309310310309309309309310311311310310310311310310310310309310310310309309309309309309309309309309309309309309309310310309309309310310309309310309309310309310309309309308308308308308307307306306307308307307308308307307307307308308307308307307306305306306306306305305305306305306307306306306306306306307306306305305305305306305306306306306305305305305304305305305305305305305305304304305304304305304304303303303303303303303302303303303304303303304305303302304303304303303303303303302302303303304303302302302302302302302302302302303304303303302303303303303302301302302301302302302302303302303302302303304303304303303303303303303303302303302301301301300300300301301300301300300300300300300300300299299300299300300300299299300299300299299299299300299300300299298299300300300300300299299299300300300300300301301300301302301301300300300300300300300300300300300301 302303302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294292293293293296297299300300299298298297297296297296296295295294295294296295294295296296295295295295294294295295295296295295294294295295295295294294294295293294293294294294294294295294293294291293293293293293293293293294294293294295295296294295294295297296296294294293292291290290291290290289288289289290291293292293293293293293294292291291290291292293293294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292293294295295295293294295292296295296296295295295295295295294295295294295295295295296295295294294294294294294294294293293294293293292291292291292292292292292292291292292291291291292293293292292292292291292292292293293293293294294294293294294294294294294294294294293293293294293294294294293292293293294294294294294294294294293294293293293294294294294294294294294295295296297297297299299299300300300300301300300300300300301301301302302302303303304303304304304304305304304304305305305305305306306306306306306305305305304304305304305305305305305305305306306306306306306306306307307307307307307307307307307307307308308308308308308308308309309309309309309309309308308309308308308309309309309309309309309308308308307307307307307307307306307307307307307307307307307307307307307307308308309308308308308308308308309310309309309309309309309309309309309310309310310310310310310310310310309309308308308308308308308308308307307307308308308308308308309309309309309309309309309309309309309309309309309310310310311311310310310310311310310310310310309309309310309309309309309309308309309309309309309309308309310310309309309309309310310310309309309309307308307308308307307307307308308307307308308308308307307308308308307307306307305306306306306306306306306306306306306306306306306307307306306305306305305305305305306305305305305305305305305305306306306305305305305305305305305305305304304303303303304303304304303303303304304304304304304304304304304304303303303304305303304303303303302302302303303303302303303303302303302302303303302302302301302302302302303302302302302302303303302303303303303303304303303303303303303302302301302302301301301301301301300301301300300300300300300300299299299299300300299300300300300300299299300299299300300299299300300300300300300299299299299300300299300300300300300301302301300301300300301301300300300300299301 301302303303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292290291293293296297299301299299298298297297296297295295296295295295295295295296296296296294294296294295294294295296294296295294294295295296295295295294294293293293294294294294294294295296295293293293293293294294295293293293293294295295295294294295295295294294295295293291290290290290290289288289290289290291293293293293294294294294294293291999999296295290293999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297296999999295293293293292292293293295296294293295296297297296296296295295295295294294294295295295295295295296295295295294295294294293294294293294292293292293293292292292292291292292292293291291291292292292293293292292292292292292291292292293293293293294294293294293293294294294294294294293293293293294294294294294294294293294294294294294294293294294293294293294294294294294294293294294294295295296297297297298299299299299300300301299299299300300300301301302302302303303304304304304304304305304304305305305305304304305306306305306305305305304304304305304304304305305305304305305306305305305305305306306307306306306307307307307306307308308308308308308308308308308308308308308309309308308308309309308308308309309309309308308309308308307307307307307307307307307307307307307307306307307307307307307308307307307308308308308308308308309309309309309309309309309309309309309309309310310310310310310310310310310309309309308308308308308307308308308308308308308308308308309308309308309309309310309309310310309309310310310310310310311311310310310310310311310310310309309309309309309310309309309309309309309309309309309309309309309310310310310309309310310311310310309309309308308308307308308307308307308308308308308308307308308308308307307307306307306307307306306306306306307306306306306306306305306306306306306306305306306305305305306306305305305305305305305305306305306306306306305305305306305306305305304304304304304304304304304304304304304304303304305304305305305304304304303303303303303304304303303303302303303302302302303302302303303303302303302303303303303302302303303303302302302303303303303303303303303303303303303303303303303303303302302301302302301302301302301301301301301300300300300300300300300299299299299299300301300300299299300300300300300299299299299300300300299300300300300300299299300300300300300301302302301301301301301301301301300300300299300 302303305304305308999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291292294295297299300298299299299297297298297296295295294296295295296296296297294293294294295295295294296294295295296295295295295294295295296295295294294294294294293293294294295294296294294293294294294294293293293293293293295295295295295295295295296295295296295294291291291292290289288288287289289290291294293294293293293293294294293999999999291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296295296295295294294293293292298294296297296296297296297297296296296295295295294294294295295295295295295295295295295295295295294294294294294294293293292291292293293293292293292291292292292292291292292293293293292292292292292292292292292292292293293293294294294294293294293294293293293294293293293294294294294295294294294294294295295295294294294294294293293294294294295295294293294294294294294295296298298298299298299299299300300299299299299300301301301301302302302302303304304304304304305304304304304304304304304304305305305305305304304304304304304305304304305305305305305305305305305305305305305305305306307306307307307307307307307308308308308308308308308308308308308308308308308308308308308308308308309309309308308308308308308308307307307306307307307307307307307306307307306307307307307307307307308307307308308308308308308308308309309309309309309309309309310309309309309310310310310310310310310310310309309309308308308308308308308308308308308308308308308308309309308309309309310309310310310310310310310310310310310310310310310310310310309310311310310310309309309310310310309309309309309309309308309310310310310309310310310310310310310310310311310310310309309308307307307307307308308308309309308308308308309308309308309308309308307307307308307307306307306306307306306306306306306306306306306306306306305306306305305306306305305305305305305305305305306306306306306305305305305305305306306305305305305305305305305304305305304304305304305305305305305305305304304304303303303303304304303303303303303302303303303303303303303304304304303303302303303303303303303303303303303302303303303303303303303303303304303303303303303304304304303302302302302302302302302302302302302301300300301300300300300300300299299299299300300300300300300300300300299299299299299299299299300300300299299300299300300300300300300301301301301301301302302301301301301300300300299299300 302303305307306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290292291294296298299300300300299298298298298297296295296295296295296296296296295295295295294295295294294295295295295295295296295295294295296296296295296294293294294294294294295295295295296295293294293294294294295294294294295296295295296297296296295296296296296295292292292292291289290290287289289290290292295292294293293298299300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296297296294293294292293297295296298298297297297297297296296295295294294294294294294294294295295295296296296295296296295295293295294294293294293292292292292293293293292292292292292292292293293292292293292292292292292292293292292293293293293294294294294294294293293293293293293294293293294293294294295295295294294293294294294294294294294294294294294294294295295295295294294294294295294294295296298298299299299299299299300300300300300298300300300301300302302302302304303303304304305305305304304304304304303304304305305305305305305305304304304304304305304304305305305304305305305304304305304305305305306307306307307307308307308308308308308308308308308308308307308307308308308308308308308308308308307308308308308308308307307308307308307307307307307307307307307307306307306307307307307307307307308308308308308308308308308309308308309309309309309309309309309309309310310310310310310310310310310310310310310309309309309309309308308308308308308308308308308309308309309309310310310310310310310310310310310310310310310310310310310310310310310310310310311310310310310310310310310310309309309309309309309310310310310309309310310310310310310311311311311310310309309309308307308308308308308309308308308309309309309308309308308308308308308308308308308308307307307307307307306306307307306306306307306306306306306305305305306305305306305306305305305305305306305306306307306306306305306305305306306306306306305305305306306305305305305305305305305305305305305305305305305304304304304304303303304303303303302303303302303303302302303303303303304304304303303303303303303302302303303303303303303303303303303303303303304304304304303304304304303304303303302302302302301302302302302302302301301301300300299300300299299299299300301300300300300300300300300299300300299299299299299299299300300299299299300301300300300301301301301301301301301301300300301300300299299298298300 302304302304307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290292292294296297298300300300299299299298298296297295296296296296296296296295295295294295294294294294295295295296295294295295295294295295296297297296295295295295295295295294295295294294295295294293294294294294294293294295294295296297296296296295295296297297295295293293290292290287287288288289290292293293295296294293293299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295296296296294293293292292299296296297297297297297296296296295295294294294294294294294294295295295295295296295295295295294295294295294293293293293292292292292292293293292292292293292292292293293292292292292291292292292292293293292293292293293293293294294294293292293293293293293293293293293293294294294295294293294292293293294293293294294294294294294295295295295295295295294295295295295295295296297298299298299299299300299299300299300300300300300301301302302302303304304303303304304305305304304303304303303304304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305305306306307307307307308308308308308307308308308308307308308308307308308308308308307308308308308307308308307308308308308307307307307307307307307307307307307306306306307307306307307307307307307307307308308308308308308308309309309309308309309309309309309309310309310310310310310310310310310310310310310310309309309308309308309308308308308308309309308309309309310310310310310310310310310310310310310311310310310310310310310309310310310310310310310310310310310310310310310310309309309309309309309308309309309309309309310310310309310310311311310311310310309308308308308307308308308309308308309309309309308309308309308309308309308309309308309309308308308308307307306307307307306306306307307306306306305305305306305305305305306305306305305305305306306305306306306306307306306306306306306306306305306306305306306306306306306305306305306305306305305305305305305305305304305305304305304303303303304303303303302303303303303303303303304304304304303303303304303303302302303303303303303303303303304303303303303304304304304304303304303303303303303302303302303302302302302301302302301301300302301300300301299300300300301300300300300301300300300300299299299299299299299300299300299299299299300300300301300300301301301301301301301301301301300300300299299299298298299 302304303304306304999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290292293294296296298299300299298299299298298297297296296297296295295296296295296295295295295295295296295296296295294294295295294295294295297296296295295295295295294294294293294293294295295294294294294295295294295294295295295296296297297296296296296296296296295295294292293290289289290289290290292295293294295293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294295293293293294296295297297297297297296296297296296295294294294294294294294294295294295294295296296295296295295294295294294293293293293293293293293293293293293292292293292292292293293292292292292292292292292292293293293292292293293293292292293294294293293293293292292292293293293293293293293293292293293293293293293293294294294294294295294294295295295295295294294295294295295295295296297298299298298299298298299299300299300300300300300300300300302302302303303304303302303304305303304304303304304304304304304304303303304304303304304304304304305304304304304305305305305305305305305305305305305305306307307307307307307307307308308307308308307308308308307307307308308308308307307308307307307308308307307307308307307307307307307307307307306306307306306306306306306306306306307307307307307307308308308308308307308308309309308308309309309308309309309309310310310310310310310310311310309309310309309309309308309309308309308308308308308308308309309309309309310310310310310310310310310310310311311310310310310309310310310310310310310310310310310310310310310310310310309308308309309308308309309311310310309309310309309309310310309310310310310310309309309308308308307307308309309309309308308309308309309309309309308308309309309309309309309308308308307307306307307307307307307307307307307307305305305305305305305305305306305305306306305305305306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306305305305305305304304305305304304304304303303303304304303303303303303303303303303304304304304304304304304304304304303303303303303303304304303303304303303303303304304304304304303304304303304304304303303303302302303302302302302302301301301301301301301301300301302301301300301301301301300300300299299299299300301300300299299299299299300300300301301301301301301302301302301301301301301301300300300299299299298299 302304304305305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291293293294295296298299298299299299299298297298297298298296295295295296296297296294295295295295296296295295295295295294294294296295294295295295295296295295295294294295294293293295294294294294294294294294295295294294293294296295296296296296296296296296296296295295296294293291292290292290292292293293293294295294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301296294294294294294296297297297297297297297296296296296295295295294294295294293293294294294295294295296296296295296295295295294293293294293292293293293293293293293293293293293292292293292292292292293293292293293293292293293293293293293292292999293293293292293293292292292292292292292292293293293293293293293293293293294294294294294295294295295295295295296296296295295295295295295295295296296298297298298299299299300299300300300301301301301301301301302302302303302303303303303303303303304304303303303303303303303303303303303304304304304304304305304304305305304304305305305305305305304304304305305305306307307306307307307307307308308308307307307308308308307308308308308308308308308308307307307307307307308307307307307307307306307307307307307307307306306306306306306306306306306306307306306307307307308308308307307307308308309308309309309309309309309309309310310309310310310310311310310310309309309309309309309309309309309308308309309308308309309310309310310310310310309310310310310310310310311310310310310310310310310310310310310310310310310310310310310310310310309308309309309309309310310311311310309310309309309310310310311310310310310309309309309308308307307308308309309309308308309309310310310309309309309309309309309310311310309309308308307308307307307307307307307307307307307307306305306306306306306306306306306306306306306306306306306306306306306306306306306306306306307306307306306306306306306306306307307307306306306306307307306306305306305305305305306305305304304304304304304304304304303304303303304304303304304304304304304304304304303303303303303304304303304303303304303303303303304304304304304304304303304304304303303304303303303303303302302302302302302302302302302302301302302302301302301301301302301301300300300299299299299299301299300300300300299299300300300300301300300300301301301301301301301301300300300300299299298298297299 303304305306305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293294295297297299299299300299299298297297297297297296297296296296297297295296295296296295294295296296295296295295295296295295295295295295295294296296296295295295294294294294294294294294294294294294295295293293295294295295296296295295296296296296296295296296295293293289292294293293293292292293292293294292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999999999999999999999298299295292294294295295297297297297297296297297296296296295295294294294294294294293294294295294295295295295295295295295294295294294293293294294293293293294294293294293293293293292292293292292292292292292292292293292292293293293293292292292292292999292292292292292292292291291292292291292292292292293293293293292293293294294294294295294294295295295296295296296296296296295296296295296295295295297297297297297298299299299299299300300301301301301301301301302302301302303303303303303303303304304304303303303303303303303303303303304304304304303304304304304304305304304304305305305305305305304304304304305305306306306306307306306307307308308308308308308308308308308308308308308308308308308308307307307307307307307307307307307306306306306306307307307307306306306306306306306306306306306306306306306306307307307307308308308308308308308308309309309309309309310310310310310310310310310310310310310309309309309309309309309309309309308309309309309309309309310309310310311310310310309310310310310310310310310310310310310309310310309309309310310310311310310310310310310310310309309309309309309309310310310310310309309309309309308309310310310310310310310309309308309308308308308308308309309309308308308309310310310309309309309309309309309309310310309309308308308308308308307308308308307307307307307306306306306306306306305305305305306306306306306306306306305307306306306306306306306306306307307307307306307307307306306306306306307306306306307307307307306306306306306305306305305305304305304304304304304304305304304304304303304304304304304304304304304304304304304304303304304304304304303304304303304304303303303303303304304303303304305304303303304303303303304303303303302302302302302302302302302301301301302301301301301301301301301301301300300299299299299300300300299300299299299299300300300300300301301300301301301302301301301300300300300299299298298297297299 302304305304303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294293293293296297298299298299299299299298298296297297298296296296296297296295295295295296295294295295295296296295296296295294294294294293294294295294295295295295295295294294294294294294293294294294293294294293293294293294295295294295296295295295296297297295294294294293291291291294293292292291293293294300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300999999298298297294293292293297294294295296297297297296296296296296296296295295294294294294294294294293294294295294294295295295295295294294294294294294294294294294294294294294294294294294294294292292292292292292292291292292293294293293293293293293292292291292291292291999292292291291291291291291291291291291292292293292293292292293293293294294294295294294295295295295296295296296295296296296296296296296295295296296296297298298298298298299299299300300301301302302302302301302302301302303303303303303302304303303303303302303302301302302303303303304304304304304304304305305305305304305305305305305305305305305305304304305305306306306306306306306307307307308308308308308308308308308308308308308307307308307307307306307306307307307306306306307306306306306306306306307307306306306306306306306306306306306306306306306306307307307307308308308308308308308308308309309309309309309310309310310310310309310309310309309309309309309309309309309309309309308309309309309309310309309309309310310310309309309309309310309309310310310310310310310310310309309309309310309310310310310310310310310310309309309309309309309310310309309309309309309309309309309309309309309309309309309309308308308308309307307309309309309308308308308309310310310309310309309309308308309310310310309309309308308308308308308308308308308308307307307307306306306306306306306306306306306306306306306306306306306306307306306306306306306306306307307306307306307307307307307308307307306307307307307307307307306306306306306306306306306306305305304304304304304304305304304304304304304304304304304304304305304305304304304304303304304304304304304304304303304304303303303303304304303303303303303304304304304303303303304303303303302302303302302303303302302302301300301302301301301301301301301301301300301300300300300300300300300299300300300299300301300300300301301301301301301301301300300300300300299299299299298297297299 303304304302302304305999999999999999999999999999999999999999999999999999999999999999999999999999999999295294293292292293294297298298297298298299299297297296297296295297297295297297297296296296296296295295295295295295295295295295294295292293293293295294294295295295295295295295294295295294294294294294294294294294293293293293293293294295295294294294293293295296296296294295292293291293292295293292290292294293294298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999300298296296294293293294293294295296297296297297297296296296296296296295295295294294293294294294294294294294294294294294294295295294295294294294294294294295294294294294294294294294294294294294293293293293293292292292292292293294294294293294293293292292292292291291291291292291290291290291291292291291291292291292292292293292292293293293293293294294294294294295295295295295296295295296295295296296296296296297296296297297298297297298299298298299299300300301302302302302301300301301302303303303303303303303303302302302303302302301302302303303303303304304304304305305305305305306305305305305305305305305305305305305305306306306306306306306306306306306307307307307308308308308308308307308308308307307307307307307307306306307307307307306306306306306306306306306306306306306306306306305306306306306306306306306306306306306306307307307307308308308307308308308308308308308309309309309309309309309309309309310310309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309310310310310310310310309309309309309309309309310310310310310310310310309309309309309309309309309309310309309309309309309309309309309309309310310309309309309308308308308308307309308309309309308308308310309310310309309309308308307308311310310310310309308308308308308308308308308309308308308307307307306307306307306306306306306306306306306306306306306306306306307307307307307306306307307307307307308307307307307308308308307307307307307307307306307307307306306306306306306305306305305305305304304304305305305305305305305304304304304305304305305305305305304304305304304304304304304304304304303303304304303303303303304303303303304303304303303304304304303303303303303303304303302303303303302302302302301301301301301301301301301301300300300300299300300300300300300300300300300300299299299300300300300300300301300300300300300300300300299299299299299298298297297299 303303303303302302306306999999999999999999999999999999999999999999999999999999999999999999999999999999298295293291291293294295297297297297298298298298296296295296296297297296297298296296296295296296295295295296295295296296295296295294293293294999999294293294294294294294295295294294295295294294294293294293294294293293293293293293294294294293293293293293295295293292294294293292292292295291291290289293294295295299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999303303299298297295294293294295294294294296296296296297297296296296296296296295294294294294294293294294294294294294294293294294294294295294294294294294294294294294294294295294294294293293294294293294293293293293292292292292292293294294294293293292292293292292291291291290999291291291290290290290291291291291291291290291292292292292292292293293293293294294294294294295295296295295295294295295295295295296296296297296296296296297297297298298299299299299299299300301301301301302301301301301302302302302302302302302303302302302303303302302302302302303303303303303303304304305305304305305305305305305305305305305305306306306305306306306306306306306306306306306306307307307307307307307307308307308308307307307307307306306306307306306306307306306306306306306306306306306306306306306306306305306305306306306306305306305306306306306306306306306307307307307308308308308308308309309309309309309309309309309309309310310309309309309309309309309309309309309309309309309309309309309309309309309309309309309309310309309309309309309310310310310310310310310310310310309309309309310310310310310310310310309309309309309309309310310310309309309309309309309308309309309309309309309309309308308309309308308307307309308309309308308308309309309310309310309309308307308309309310309309309308308308308308307308308308308309308308308307307307307307306307306306306306306306306306306306306306306306306307306307306306306307307307308307307307307307307307307307308308307307307307307307307306307306306306306306306306306305305305304305305305305305305305306305305305304304305304305304304304305305305305304304304303304304303303302303303303303303303303303303303303303303303303303303304304303304304304303303303303303303303302303303303302302302302302302302302301301301301301301301300300300301300299299300300300300301300300300300300299299299300300300300300301300301300300300300300299299299299299298298297296296299 301302303304304301303999999999999999999999999999999999999999999999999999999999999999999999999999999999295294293290291292294296296297297297296297297297297296295296296296296297296295298297295295296296295294294296295295296295295295294294293293999999999999293293293294293293294294294294293295295294294294295294295294293293293293294293294293293292293294293294294294293293292294293293292294296294291289290292294296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304302298296294293294295295294295296296296296296297296296296296296296295295293294294294294293293294294293294294294294294294294294294293294294294294293293294294294294294293294294294293293293293293293293293292292292292292293293294294294293293293292292292292292291291289289290290290289289290290291291291290291290290292292293292291292293293293294293294294294294294295295295295295295295296296295295295296296296296296296296296297297298298298298299298297296299299300300301301301301301301301301301301302302302303302302302302302302302302302303302302302303303303302303303303304304304304304304305305305305305305306305305306305305305306306307306306306306307306306306307307307307307307307307307307307308307307307307307306306306306306306307306306306306306306307307306306306306306306306306305305305306305306306306305305305306305306306306306306306306306306307307307307308308308308309309309309309309309310310309309309309309309309309308308308308308308308308308308309309309309309309308308309308309309309309309309309309309309309309310309310310310310310309310310309309309309309310310310310310310309310309309309309309309309310310310309309309309309309309309309309309309309309309309308308308308308308308307307307309309307309308308309309309309310309309309309309309309309309309309308308308308307308308308308308308308308308308308308307307307306307307306306306306306306306306306306306306305306306306307306306306307307308308307307307307307307307307308308308308307307307307307307307307307307306307306306306305305305305305305305305306305305305306306305305305305305304305304305305305305304304304304304304303303302303302303303303303302303303302303303303303303303303303304304303304304304304303303303304304303303303302302303302302302302302302302302301301301301301300301300300300300300300300300300300300300300300300300300300300300299300300300300300301300300300300299299299299298298298297297296296296299 300302303302302302302304999999999999999999999999999999999999999999999999999999999999999999999999999999296294292291291293294295296297296296297297297297297297297296297296296297296296296296296296296295296296295295295295296296296295294294293293297999999999294293293293293294294295295295294295295295295296295294295295293294294294293294294293293292293293293294293292294294293293294294293295291292291290291294295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303301298295295295294295294295296296296296296296296296296296296296295295295294294294294293293294294294293294294294294294294294294294294294293294293293294294294294294294294293294294294294294293294293292292293293293293293293293294294294294293292292292292292292291291290287289290289289289289290290290290290290290290290291291292293292292292293294293293294294294294295295295295295295295295295295295295295296296296296296296296297297297297298298297297297298299298299299301301301301301301301301301301301301302303302302302302302302302302302302302303301302302302302302303303303304304304304305304305305305305306306306306306305305306305306306306306306306306306306306307307307307307308308308307307307307307307307307307306306306306305306306305305306305306306306306306306306305306306306305305305305305305305305305305305305305305305305306306306306306306306306307307307307308308308309309309309309309309309310309309309309309309308308308308308308308308308308308308308309309309309309309309308308308308308308309309308308308308308309309309310310310310310310310309309309310310310310310310310310310310310310310310310309309309310310310309310309309309310309309309309308309309309309309308308308308308308308308308307309309308309309308308308309308308308309309309308309309309308308308308308308308308308308308308308308308308308308308308308308307306307307307306306306306306306306306306306306306306306306306306307306307307307307308307307307307307307308308308308308307307307307307307307307307307307307307307306306306306306306306306306305306306306306306305305305305305305305305305305305305305304304304304304303303302303303303303303303303303302303303303303303303303303303304304303303304304303303303302304304305305303303302303303303303303302302302302302301301301301300300300300300301300300300300300300300300300300300300300300300300300300300300301300300300300299299299299299298298298297297297296295295299 303302304303303303304305306999999999999999999999999999999999999999999999999999999999999999999999999297295296293291292292293295296295296297297297296297296296296297296297297298297295296296296296296295295295295295296295296296296296295294294294295294999296294294293293293293294295295295295295295295295296296295295295295293293293294294293293293292292292294294293293294293294295295295295295292293293291292295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298296294294294293294295296296295296296296296296295296295296296296295295295294294294294294294294293293293293294293293293293293293292293293293293293294293294294294294294294294294294294294294293294293293293292293293294293293293293291291291291293292292293292292291290290289289289288288289289289289290290289289290290291291292292292293292293294294294294294294295294294294294295295295295295295295295295296296296295295297297297297297297297297297297297298298298298299299300300300300301301301301301300301301302301301301302301301302301301302301301302302301302302302302302303304303303304304304305306306305305305306305306306306306306306306306306306306306306306306306307307307307307307307307307307307307307307307307307307307306306306306306305305305306306306306306305305306305305305305305305305305305304305304304304304304305305305305305305306306306306306306307307307308308308308309309309309309309309309309309308308308308308307307308308308309309308309308308309309309309309309308309308308308308308308308308307308308308308309309309310310310310310310310310310310310310310310310310310310309310310310310309309309309309310310310310309309309308309309309309309309309309309308308308308308308308308308309308307309309309309309309309309309309308308309308308309309308308308308308307307308308308308308308308308309309309308308308308308308307307307307306306306306306306306306306306306306306306306306306306306307307307307307307307308307307307307308308308307308307307307307307307307308307307307307306306306306307307306307305305305306306306306306306305305305305305305305305305304304305305304304304303303303302302302303303303303302303303302303303303302303303303303303303303303304303303303303303303305304304303303303303303303303303303303302302302301301300301301300300301301300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299298298297297297296296295295298 304304302302302303303303303305999999999999999999999999999999999999999999999999999999999999999999999999293295293291292292294293295295296296296295295295296296296296296297297296296296296296296295295295295295294295296295296296297295294294294293293293294294294293293293293294295295295295295295296295295296296295296295295295294292292292292292293291292293294294295295293294296295295293294295295294294294293296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299298295294294294294295296296295295296295296296296296295296296296295295295295294295294294293294294293293293293293293293293294294293293292293293293293294294294294294294294294294294295295294294294294294293293293293293294293293293999291291290291292292292292292291290290290290289289289289289288288289289289290290290290291291292293293294294294294294294293294294294294294294294295295294295294295295295295296297295296296296297296296297296297297297298297297298298298299299300300300300300300300301300300300301301301301301300301301302301301301301301301301301302302302302303303303303304304304304305305305305305305305306305306307307307306307306306306306306306306306306306306307307307307307307307307307307307307307307307306307307306306306306306305305305305305306305306305305305305305305305305305305304305304304304304305304305305305305305305306306306306306307307307307308308308308308308309309309309309309309308308308308308308308308308308308309309309309309308309309309309309309308308308308308308308308307307307308308308308308309309310310310310310310310310310310310311311311310310310310310309310310310310310310310310310310310310310310309309309309308309308308309308308308308308308308308308308308308308310308309310309309309309309309309308309309309308309308308308307307308308307308308308308308308308308308308309308308308308308308308307307307307307307306307306306306306306306306306307306306307307307307307307307307307307307307307308308308308308307307307307307307307307307308307309308307307307307307307307307308307306306306306306306305305305305305306305305305305304304304305305304303303303303302303303303302302303303302302302302302303303302303303302303303303303303303304304303303304303302303303303303303303303303303303303303302302301302302301301300300300300300300300300300300301301301300300300300300300300300300300300300300300300300300299299299299298298298297297297297296296295295295299 303301300302302302302302302303303999999999999999999999999999999999999999999999999999999999999999999999296296293291291292293293294295296296295294295294294296295296296297296296296296296296296296296295295296295296295295295296295296295295294294293294294294293293293293292293295296296295295296295296295295295295295294294293293292292292292293293292292293293294294295294294295296295294293294295295294296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297300299295294294294294294295296296295295295295295295295295295295295296295295295295295295294294294293293293293293293293293293293293294293293293293293294293293293294293294294294294294294295295295295295295294294293293293293293294294294293293999290289291291291292292292291291290290289289289289289289288289288289289289289291290291290292292293294293293294293293293293294294294294294295295294294294295295295295296296297296296297297296296295297296296297297297298298298299299298299299299300300300301300300300300300300301301301301301300301301301301301301301301302302302303302302303302302303304304304304305304305305305305306306306306306307306306307307307307306306306306306306306306306306307307307307307307307307307307307307307307307307306306306306305305305305305305305305305305305305305305305305305304305304304304304304304305304304304305305305305306306306306306306306307307308308307308308308308308308308308308308308308308308308308308308308308308309309309308308308308309309309309309308308308307308308307308307308307307307308308308309309310310309310310310310310310310310311311311311311309309309310310310310310310310310310310310310310310309309309308308308308308308308308308308308308308309309309308309310309309308308308309309309309309309309308308309309308308308308308308308308308308308307308308308308308308308308308308308308308308307308307307307307307306306306306306306306306306306307307306306307307307307307307307307307307307308307307308308307307307306307307307307306307308307307307308308307307307307307306307307307306306306306306306305305305305305305305305305304304305305304304303303302302302302302302302302302302302302302302302302302302303303303302302303303303303303303303303303303302303304302303303303303303303302302302302302302301301301301300300300299300300300300300300300300301300300300300300300300300300300299300300300300299299299299299298298298298298297297297296296296295295295298 302303302301300302300302302302302999999999999999999999999999999999999999999999999999999999999999999999297296292291291291292293294294295295295294295294295295295295295296294296296296296295295295296296296296296296296295296295297297295295295294293294295294293293293292293294295296296296295296296296295295295295295294294294294293293292292293293293293293294292294295295295295296296294293294295296294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299301300296294295295294295295296295295295295295295295295295295294296295296295295294295295295294294293292292293293293293293293293293293293293293293293293293293293293293294294294294294295295295295294295295294294294293293293293293294293293292999287288291292291291291291291291290289289289289289290289289288289289289289290291291291290292292293293293294294294293294294294294293294294295294294294294295295295294296296296297295296296297295296296296296295297297297297297298298299299299299299299300300300299299299300300301300300300300300301300301301301301301301302302302302302302302303303304304304304304305305305305305306306306306306306306306306307307307306306306306306306306306306306306306306307307307307306306306307307306306306306306306306305305305305305305305304305305305304304304304305305305305304304304304304304304304304305305305305305305305306306306306306306307307307307308307307307307308308308308308308308308308308308308308308308308308308308308309309308308308308308308308308308308307307307307307308307308307308307308308308309309309310309310310310310310310311310310311310310310309310310310310310310310310310310310310310310309309309309309308308308308308308308308308308308309309309309308309308310308308308307309309309309310309308309309309308308308308308307307307307307307307307307308308308309308309309309308308308308308308307307307306307306306306306306306306306306306306307307307307307307307307307307307307307307307307308307307307307307307307307307307308307307307307307308307307307307307307307307307308307306306306306306306305305305305305305305305304304305304304304304303303302302302302302302302302302302302302302302301303303303303303302303303302302303303303303304303303303303303303303302302302303303303303303302302302302301301301301301301300300299300300300300300300300301300300300300300300300300300300300300299299300299299299299299298298298298297297297297296296296295295295295298 302302302301301302301302302303302302999999999999999999999999999999999999999999999999999999999999999999297295294293290291292293293294294294294294295294295295295295295295297296294296295294296295295297297297296296296296295294296297295296295295294294295293293293293293293294295295295295295296296296295294295295295294293294294294293293293292294292293293293293294293295295295297293291293294297296297294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299297295294294295295295295294295295295295295295295294294295296295295295294294295294294293293293292292292292293293293293293293293293294294294293293293293294293293294294294294294295295295295294295294294294294294293293293293293294293293292288290290291291290291290290290289288289289288289289288288288288288288289290291290291291291292293294293293293293293294294293294294294294294294294294295295295295294296295295297296295295296297296297297296297297296296297297297298299298298299299300300299299299299299299300301301301301300300301300301301301301301302302302302302302302302303303303304304304305305306305306306306306306306306306306306307306306307307306306305306306306306307306306306306307306306306306306306306306306306306306306306306305305305305305305305304305305304304304304304304304304304304304304304304304304304305305305305305305305306306306306306306307307307307307307307307307307308308308307307307307307308308308307307308308307308308308308308308308308308308307308308308308308307307307307307307307307307308308308308308308308309309309309309309309310310310310310310310310310310310310310310310310310310310310310310310310309309309309309308308308308308308309309308309309309309309309308308308308308308309309309308308308309309309309308309308308308308308307308307307307307307307307308309308308309309309309308308308308308307307307307306306307306306306306306306306306306306306307307307307307307307307307307307307307307307307307308308307307307307307307307308307307307307307307307307307307307307307307307307306307306306306306306305305305304304304304304304304304304303303303303302302302302301301302302302302302302302303303302302302303302302302302302302302302302303303303303302302302302302302302302302302303302302302301301302302301301301301301302300300299300300300300300300300301300300300300300300300300300300300299299299299299299298298298298298297297297297297297296296296295295295295299 303302302303302302300300300303302301298999999999999999999999999999999999999999999999999999999999999999295294293291290291291292294293294293293293293292294294293295294295296295296297295293294296296297297296296296296295296295296297295296296294294294294293293293292292294294295295295295295294295294295295295295295294294294294294294293294293292293293293293293294294296294295295299296296296297299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297298297295294294295295295295295295295295295294294294295295295295295295295294294294294293293293293292292292292293293293294293293293293294295294293293293293293294294294294294295294295295295294294294294294295295294293293293293294294294293292291289289290290290290290289289289288288287288288288289288288288288288288289290290291291291292292294294293293292293293293294293294294294295294294295295295295294296295295295295295295295296297297297297296296296296296296297297298298298298299299299300299299299299299299299300301301301300300301301301301301301301302302301301302303303303304304303304304304305305305306306306306306306306306306306306306306306306306306305305306306306306307306306306306307306306306306306306306306306306306306306306306305305305305305305305305304304304304304304304304304304304304304304304304304304304305305305305305305306305305305306306306306306306306307307307307307307307307307308307307307307307307307307307307308307307308308308308308308308307307307308308308308307307307307307307307308308308307308308308308308309309309309309309310310310310310309309309309310310310310310310310310310310310310310309309309309309309309309309309309308308309308308308308308309309309309309308309309309309308309309309309308308308309309308308308308308308308308308308307308307307307308308308309309308309309309309308308308308308307307307307307306306306307307306306306306306306306307307307307307307307307307307307307307308307308308308308308308307307307307307307307307307307307307308307308308307306307306307307306307307307306306306306305305305304304304304304304303303303303302302302302301302301302302302302302302302302302302302302302303302302302302302302302303302303302302303303301302302301302302302301302302302301301301301301301302301301301300300300300300300300300300300300300300301300300300300300300300300300300299299299299299298298298298298298297297297297297297297297296296296296296295300 303302303303301302299299300300300298303999999999999999999999999999999999999999999999999999999999999999293292292290290290290291292293293293293293294293294293293294295294295295295294294295999296295296296295296296295296296295296296296295295293294294294293293292293292292294295295295296295295295295296295295294294293295295295294294294293293293293294294293293294294294295297297298296295297299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301298296296295294294295295294295294295294294294294294294294294295295295295294294294294294293293293293292292292292293293293293293294294294294294294294293293294294294294294294295295294295295294294294294295294295294294294293293293294294294292290290289289289289289289289289288288287288287288288288288288289288289288288290290290291291292293293293293293292293293293293293293294294295294294294294295295295295295296296296295296296296296296297297297296297296297296296297297298298299299299299299299299300300300300300300301301300300300300301300301301301302301301301301302303303303303304304303304305305305306306306305305306306306306305306306306305306306306306306305306305306306306306306306306306306306306306306306306306306306306306306306306306305305305305305305304304304303303303304304304304304304304304304304304304304304305305305305305305305306305305305305306306306306306306307307307307307307306307307307307307307307307307307307307307307307307307307308307308307307307307307308308308307307307307308307308307308308308307307307308308308308309309309309309309309310309309309309309310310310310310310310310310310310309310310310309310309310310309309309309309309309309309308308309309308309309309308309309308308308308308308309309309310309309309308309309309309309309309309308308308308307308308308308309309308309309308308308308307308308307307307307307307307307307307307306307306306307306307307307307307307307307307307307307307307307308308307307308308308307307307307307308307307308307308308308307308307307306306306307306307306306306306306305305305304304304303304304303303303303302302302302301301301301301301302302302302302302302302302302302302302302302302302302302302302303302302302301301302301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300300300299299299299299299299298299298298297297297297297297297297297297297296296296296296295296300 303302302302302302302299299300300298299999999999999999999999999999999999999999999999999999999999999999294291291291290291290291292293293293293293293292293292294295294295294294295295295295295294296296295296295298296295295295297296295294293294294294293293293294293292292294295296296296295295296296296295295295294294295294295294294293293294294295294294294294295295296296297297298299295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297293292293295295294293294294294294294294294294294294293294295295295294294294294293293293293292293293293292293293294294294294294294294294293293293293294294294294294294294295295294295295294294294295295295295294294293293293293293293292290289288288288288288288287287287287287286286288288288287287288288288288288289290290291291292292293292293292292292293293293293293294294294294295294295295295295295295295295296295296296296296296296297297297297297297297296297297298298299299299299299300299299300300299300300300300300299300300300300301301301302301301301301302303302303303304303304304305305305306305306305305305305305305306305305305305305305305305306306305306306306306306306306306306305305306306305305305306305305306305305305305305305305304304304304304303303303303303303303303303303303304304303304304304304304305305305304305305305305305305305305305305305305306306306306306306306306306306306306306306307307307307307307306306307307307307307307307307307307307307307307307307307307307307308307308308308308309307307307308308308308308309309309309309309309310309309309309309310310310310310309310310310309309309310310310310310310309309309309310309309309309309308308308309309309309308308309309308308308307308308308309309309310309308309309309309309308309309308309308308308307307308308308308308308308308308309309308307307307308308307307307307307307307307306306307306306306307307308307307307307307307307307307307307307307307307307307307307307307307308308308307307308308308307307307307307307307307307307307306306306306306306306305305304304304303303304303303302303302302301301301301301300301301301301302302301302302302302302301302302302302302301301301302302302302302301300300300301301301301301301301301301301301301301301300301300300301300300300300300300300300299299300300300300299300299299300300299299299299299299298298298297297297297297297297297297297297296296296296296296296296296296296 304303301300302302301301300300300298304999999999999999999999999999999999999999999999999999999999999999292292291290291291291291292292293292293294294293293293293294294294293999293295295295296295294296295295296297296296295296295295292292293294293293293293295296292293293294295296297296296295296296296295295295294293294295294293294294295296294295295296295296297298300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292292293294294294294293293293294294294294293293293293294294295295294294294294293294293293293293293292292293293293294294294294294294293293293293293294294294294294294294295294295295295295294295295296295295295294294294294293293293291289288288287288288287287287287286286286286287287287287286286286287288289287288288288291291291292293293292292291292292293293293293294294294294294294294295295295294295295295296296296296296298296296297296297297297297296297297298298299298299299300300300300299300300299299300300300300301300300300300301301301301301301301302302302303303304304304304305306305305305305306305305305305305305306305305305305305305305305306306306306305306305305306306305305305305305306306305305305305305306305305305305305305305305304304304304303303303303303303303303303303303304304304304304304304304304305305304305305305305305305305305305305305305305305306306306306306306306306306306306306306306307306306306306306306306307306306306306306306306307307307307308308308308308307307307307307307307307306307308308308308308308308309308308309310309309309309309310310310310310309309309309309309309309310310310310310310310310309310310309309309309309309309308309308309309309308308309309308308308308308309309309309309308309309309309309309309309309309309309308308307308308308309308308308308309308309309309308308308308307307307307307306307307307307307307307307307307307308307307307307307307307307307307307307307307307307307307307307307307307308307308307308307308307307307306306307307306307307308307307307307306306305306305305304304303303303303303303302302302301301301301301301301301301301301301301302301301301301301301301301301302301301301301301302302301301301301300300300300301301301301301301301301301301301300301301300301300300300300300300300300300299300299300300300299299299299299299299299298298298298298298297297297297297297297297297297297296296296296296296296296296296296296 303301300303301302300300301301301302300999999999999999999999999999999999999999999999999999999999999999292293292291290290290289291292293292293293294293294294295294295294293294294294295295297295296296296296298297298298298296295294293294294293291293293294294296293293294296296296297297296296296296295295295295294294294294293294294293295295293294293296293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292292294294294294293293293293294294294293293292292293293294294294294294294294294294294294294293293293293293293293294294294294295295294294293293294294294294295295295295295295295295295295295295296296296295295295294294293293292292289287286287287287288287287287286285285285285285285286286287286286286287288287287288289291291291293293292292293292293293293293293293293293294293293294293294294294295295295295296295296295296297297297296296296297297297297297297297298298299299300299299300300300300300300300300299299299300299300300300301301300300301301302302302303302304303304304304305306306305305305305305305305305305305305305305306305305305305305305305305305305305305305305305305305305305305305305305305306305305305305305305305305304305304304304303303303302302303303302303303303303303304304304304304304304304304305305304305304305305305305305305305305305305305305305305305305306306306306306306306306306306306306306306306306306306306306306306306306306306307307307307307308308308308307307307307307307307307307307308308308309308308308308308309309309309309309309309310309309309309310309309309309310309309310310310310310310310309310310310310310309309309309309309309309309309309309309308309309309309308308309308310310309308309309310310310310309309309309309308308308308308308308308308308308308309309309309308309308308308308308307307307307307307307307307307307307307307307307308308307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307308307307307307307306306306306305304304303303303303303303302302301301301301301301301302301301301301301301302301301301301301301301301301301301301301301301301301301301301301300300300300300301301301301301301301301301301300301300301300301300300300300300300300300300300300300300300299299299299299299299298298298298297297298297297297297297297297297297297296296296296296296296296296296296296296296 305303301303302300301300299301301303304302999999999999999999999999999999999999999999999999999999999999999291289290290290290999290291292292293293294293293293294294293295295294295294295296295296296297297297298296295298296293293292293294292291293293292294294294295295295295295294296296297296296296295296296296296296295294294293292294295294294293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293291292294294294293293293292293293293293292292292292293293293293293294294293294294294294294293293293293294294294294294293295294295295294293293294294294295295295295295295294295295295296296296297297296296296295294294293292292293286287287288288288287286285285284284284284285285284285286286286286286287287287288288290291291292292293294294293292293292292293292293294293293294293294294295296295296296295296296295295295295295296297296296297297297297297297297297298299299299300300300299300300300300299299299299299299299300301301301301301301302302302303303303303303304304304305305306306306305305306306306305306306305306305305306306306306306306305306306305305306306305306305305305305305305305305305305305305305305305305305305305305305305304304304303303302302302302303303303303303303303304304305304304304305305305305304304305305305305305305305305305305305305305305305306305306306306306306306306306306306306306306306306306306306306306306306306306306306307307307307308308308308308307307307307307308307307307307308309309309309309309309309310310309309309309309309310309309309310309309309310310310310310310310310310310310310310310310310310310310310310309309309309310309309309309309309309309309309309309309309309310311311309310310310310310310309309309309309309308308308308308308308309308309308309309308309308308308309308308308308307308308307307308307307307307307307307307307307308307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307308307307307307307307307307306307306306305304303303303303303303302302301301301302301301301301301301301301301301301301301301301301301301301301301301301301301301300300300301300300300300300300300301300301301301301301301301301300301301301301301301301301300300300300300300300300299299299299299299299299299298298298298297297297297297297297296296296296296296296296296296296296296296296296296296296295295296 999999301303301300301302301303302303303304303304999999999999999999999999999999999999999999999999999999999999999290291291291289290292292294294294294293294294294294294296296295295295296296294296297297297297297297298298295294295293293294294295294294295296296295296297296295294295296298299298296295296296296298297296296295294293292294295294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293293293294293293292292293293293292292292291292292293293293293293294294294294294294294294294294294294294295294294295295295295294294294295294294295295295295295295296296296296296296297297297297296296295294294293293292292290289289289288287286285283283282283283283284283283285285285286285286285286287287289289290290290292292293293292293293293292293292293294294293294294294295295295295296296296295296295295295296295296296297297296296296297297298298298298299299299299299300300299299300299299299298300299300300301301301301301301302303303303303303303304304304304304305306306306305305306307307307306305305305305305305306305306306306306305305305305305305305305305305305305305305305305305305305305305305305305305305305305305304304304304303303302302302302302303302302303303303304304304304304304304304304304304305304304304304304304304304305305305305305305305305305305305305305306305305305305305305305306306305305305305306306306305305306306306307307307307307307308308308307307307307307307307307307308308309309308309310310309308308310309308309309309309309310310309309309309309310310310310310310310310310310310310310311311311310311310310310309310310310310309309309309309309309309309309310309309309309309309310310309310310310309309309309309309309309309308308309308308308308308308309309309309309309309309309309309309308308308307308308308307307307307307307307307307307307307307307307307307307307307307307307307307307307307307308307307307307307307307307306307307307307307307307307307307307307307307307307306306306305305304303304303303303302302302301301301301301301301301301301301301301301301301301301301301301301301301301300300301301300300300300300300299300300300300300300300300300301300301301301301301301301301301301301300300300300300300299300299299299300299299299299299298298298297297297297297297296296297297296296296295296296296295296296296296296295296296295295295295295295 999999999305301300301301301302301303303303303302301301999999999999999999999999999999999999999999999999999999999999292292290290290291292292293294295295294294294294295296297296296296296296296296297296295295297298300295295295295294294294295295295294295296296296298297295294293294298299298298298297297296296298297296296294294293293294296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292293293293293292292292293293293292292292292292292292292292292293293294294294294294294294294295295295296295294295295296296295294294294294295295296296295295296296296296297296297297297297297296296296296295294294293292291291290288288286285283283282281281282282282283284283284283285285285286285286287289288288288290999292292292292292293292292292293293292293293294294294295294295295295296296296296295295296296296296296297297297297298298298298298298298298298298299298298299299298298299299300299299300300300301301301301301301302302303303303303303304304305305305305305306304307306306304305307307306306306306305305305305305306306306306305305306305305305305306305305305305305305305305305305305305305305305305305305305305304304304304303303303302302302302302303303303303303303303303303304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305306306307307307307307307308307307307307307307307307307307308308308309309309309309309310310308309309310309309309309309310310310310310310310310310310310311310310310310310310310310310311311311311310310310310310310310310310309310310310310310310310310310310310310309309310310309309310310310310309310310310309309309309309309308309309308309308309309309309309309309309309309309309309309308308308308308308308307308307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307306307306307307307307307307307307307307307307307307307307307307307306306306305305304303304304303303303302302301301301301301301301301301301301301301301301301301301301301301301301300301300301301301301300300300300299300300299300300300300300300300300301300300300301301301301300300300300301300300300300300300299300299299299299299299298298298298298297297297297297297296296296296296296296295295295295295295295295295296296295295295295294295294294294 999999999305302301302303302302303303302301302302300300301999999999999999999999999999999999999999999999999999999999291288290290292292291292292294294294295294293294295295296296296295296295296296295296296296296297296295296296296296297296295296296295295295296296296296295294295293297298296298300300298297297297296295295295294293295295297294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293293293293293293293293293293292292292292292292292292293293293294294294294294294294294294295295295296296296295296296296296295295294295294295295296296296296296296296297296296297297296297297296296296295294293292292290289287287286284283282281281280280280280280280281281281282284284285285285285287289288287999999999999292293293292292293292291292293292294293293293294294294295295295297295296296296296296296296297297296297297297298299298298299298298297298299298298298300299299299298299299300300301300301301301301301301302302302302303303303304304304304305304305306307307307306306306306306306306306306306306305306305305305306306306306306306306305305305305306305305305305305305305305305305305305305305305305305304304304304303303303302302302302302302302303302302302302303303303303303304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305304305305305305305305306306307307307307307307307307307307307307308307307307307308308308308309309309309310310310310308309309310308309309309310309309310310310310311311311311311311310310310310310311311311311311310310310310311310310310310310310310310310310310310311310310310309309310309309310310309309310310310310310310310310310309309309308309309309309309309309309309309309309309309309309309309309309308308308308308308308308308307308308307307307307307307307307307307307307307307307306307306306306306307307307307307307307306306307306307306307306306307306307306306307307307307307306306306306306305305304304303304304303302302302301301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300299300299300300299300300300300300300300300300300300300300300300300300300300300300300300300299299299298298298299298298298298298297297297296296296296296296296296296296296295295295294294294294294294295295295295294294294294294293293294 999999999999302303303302298301300301301301301300301301301300999999999999999999999999999999999999999999999999999999999289292291291292292292292294295294293294293295295295297297296296296295296297296295293295295297294295295294295294297292296296296295295296296297297299298296295297297297298300299301299298296295296295295295294292294295297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293292293294293292293292292292292292292292292292292292293293293293294294294294294294294295295296295295296296296295296297297296296295295294294295295296296297296296296296296296296297297296297297297296296295294293292291289286287286284283281280280280280280279279279280280280280281282283284283284286288291288287999999999292292292292292291292291292292293292293293293294294294294294295295296295296296296296296297296296297297297297298298298298298297298298298299299298298298299299299299300300300300300301301300300300301301301302303302302303303303304304304304305305305306306307307307306306306306306306306306306306305306305305305306306306305305306305305305305305305305305305305305305305305305305305305305305305304305304304304303303303303302302302302302302302302302302302303302303303303303304304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305304304304304304304305305305306307307307307307307307307307308307307308307308307307308308307309307308309309309310310309310310309310310309309309309309310309310310310310311311311311311311310311310310311311311311311311311311310310311311311311311310311311311311310311310310310310310310310309310309309310310310310310310310311311310310310310309309309309309309309309309309309309309309309309310309309309309309309309309308308308308308308308308307308307307307307307307307307306307306306307306307306306306306306306306306307307307307306307307306306306307307306306307307306306306306307307307306307306306306306306305305304303303303303303302302301301301301301301300301301301301301301301301301301301301300300301301300300300300300300300300300300300300300299299300299300300299300300299300300300300300300300300300300300300300300300300300300300299299300299298298298298298298297298297297297296296296296296295295296295295295295294294294294294294294293293294294294294294294294294293293293293293 999999999999999301301295301999299299303301300299300299299300300999999999999999999999999999999999999999999999999999999999292292291291292291292293293293293294294295295295296296296294294295296296294295294296296296292294295295295295294292294294293295295295296297298297295296296296296296296297300300298298296295295293294294293292293294295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292292292293292292292292291291291291290291291291292292292293293293293293293293294294294294296296296296296295295296296296295294295294294294295295295296296296296296296296296296296296295297297297296296294293293292290288287286284282280279279279278279279278278279279280280280281282282283283283288288291291999999999999292292291291291291291291291292292292292293293294293294294294295295295295295296295296296296296296297297297297298298298297297299298298298299299298298298299298299299299299299299299300300300300300300300302302303302302302303303303304304304304305305306306307307307307306306305305306305306306306306306306305305306306306305305305305305305305305305305305305305305305305305305305305305305305305304304304304304303303303303302302302302302302301301302302302302302302302302303304304304304304304304304304304304304303304304304304304304304304305305304305305305305305305305305305305304305304304304304304304304305305306306307306306306306307307307307308307308308307308307308308308308308308309309308309310310310311309310309310310309309309309309310310310310311311311311311311311311311311311311311311311311311311311311311311311311311311311311311311311310311310310310310310309310310310310310310310310310311310311310310310310310309309309309308308309309309309309309309309309309309309309309309309309309309308308308308307307308308307307307307307307307307307306306306306306306306306306306306306306306306306306307307307307307307307306306306307306307307307307307307306306307306306306306306306305305305305304304303304303303302302301301301301300300300300300301300301301301301301300301301300300301300300301300299300300300300300300300300300300300300299299299299299299299299299300300300300300300300300300300300300301300300300300299299299299299299298298298298298298297297296296296296296295295295295295295294294294293293293293293293293293293293293293293293293293293293292292292293 999999999999999999302292999999999301302300298297299299300300300299300301999999999999999999999999999999999999999999999999294293291292292292292293291293292293294294293296296296295295294295296296293294295297296293294296293295294293293293293294295293295295296297298298297297296296296297297298299300299298298295294292294294293293294295294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297294292290291290291292291291291291291291291291290290291292292292292293293293293293293293294294295296296296295295295295296295296295295294294294293294295295295296296296296296295296296295295296296295295294294293292291289287285284281280279279278279279279280280279280279279280280280282283283283283286999292292291999999999291291291290291290291291291291291292292292292293293294294294294295295295295295295295295296296296296297297297297297297296297297298298298298298298298298298298298299299299297299299299299299300300299300302301302301301302302302303303303304304304304304305306306306307306306305305305305306305305305305305305305305305305305305304304304304304305304305304304304304304305304304304304303304304304303303303303303302302301302302301301301302301301301301301301301302301301302302303303304303303303304304304304304303303303303303304304304304304304304304304304304304304304304304304304304304304304304304304304305305305306306306306306306306306306307307307307307307307307307307307307307307308308308308308309309310309308309309309310309309309309309310310310310310311311311311310310311311311311311311311311311311311311311311311311311311311311311311311311310310310310310310310311311311311311310310310310310310310310310310310310309309309309309309309309309309309308309309309309309309309309309309309309308308308308308307307308307307307308307307307307307307306306306306306306306306306305305306306306306306306306306306306306306306307306306307307307307307307307307306306307306306306306306306306305305304304304304304304303303302301301301301301300300300300300300301301301301301301300301300300301300300301300300300300300300300300300300299300300299299299299299299299299299299299299299299300300300300300300300300300300300300300300299299299299299299298298298298298298297296296296296295295295295294294295295294294293293293292292292292292292293293293293293292292292292292292292292292 999999999999999999999999999999999999999301299298999298299300300300300300300999999999999999999999999999999999999999999999293293292291290293292293292293293293293294294295295295296295295294295295294295296295295295294294295294295293295294293295294295295296297297298298297297296297297297297297298298299298298297294295295294294295296296295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300297294293291289289290291291292291291291291291291291291291291292293293293293293293293293293294294295295295295296295296295295295296295294294294294293294294295295295296296296296296296296296295295295295295294294293291290288286284282280279278279278278279280281280280280280280280280280281282283283284999999294294293999292291290291291291291291291291291292292292292292293293294294294294295295295294295296296296296296297296296296296297297297297297298299297298299299298299298298298298299299299299299298300299299299299300300301302302303302302304304303302303304305305304305305306305307307307307306306306306305306305306305305305305305305305305305305305305304304305304304304304304304304304304304304304303303303303303303303303303302302301301301301301301301301301301301301301301301301301301301302302303303303303303303304303303303303303303303303304303303303304304304304304304304304304304304304304304304304304304304304304305305305306306306306306306306306307307307307307307308307307307308307307307308307307308308309309308308309309309309309309309309309309310310310310311310311311311311311311311311311311311311311311311311311311311311311311311311311311311311310310310311310310310310310310311311311311311311311311311310310310310310310310310310310309309309309309309309309309308309309309309309309309309309309309309309308308308308308307307307307307307307306307307306306306306306306306306306306306305306306305306305306306306306306306306306306306306306306306307307307307307306306306307306306306306306306305305304304304304304304303302302301301301301301301300300300300300300300301301301301301301301301301301300300301300300300300300300299299299299299300299299299299299299298299299299299298299299299299300300300300300300300300300300300299299299299299299298298297297297297297297297296296295295295295294294294294294294293293293293292292292291291292292292292292292292292292292292292292292292292 999999999999999999999999999999999999999300999999999999299299300299300299299297999999999999999999999999999999999999999999999292291291292292292292292292292293293293295295296295295296295295294295295295295294295295294293293295295293294294293293293296296298297297297297297297297297297297999999299297299299297296296296296295295296295296296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300296294293291289289290290292291291291291291291291291291291291292292293293292293293293293293294294294295295295295295295295296296296295294294294293293294294295295295296296296296296297296295295295295295295294293292290287286285283280279278277278278279279280280281280280281280280280280281281282282999999294295294293293293292291290290290291291291291291292291293293292293293294294294294294295295295295295296296296296296296296296296297297297298298297299299298298299298299298298299299299298298299298299298299299299299301301301302302303303302302303302302303303304304304305305305305305306306306307306306305306305304305305305305305305305305305305304304305304304304304304304304304304304304304303303303303303303303303303302302302301301301301301301301301301301300300301301301301301301301301301301301302302303303303303303303303303303303303303303303303303303304304304304304304304304304303303303304303303304304304304304304305305305305305306306306306306307307307307307307307307307307307307307307307307307307307308308308308308308308308308309309309309310310310311311311311311311311311311311311311311311311311311311311311311311311311311311311311311311311311310310310310310310310310310310311311311311311311312311311311310310310310310310310310310310309309309309309309309308308308309309309309309309309309309309309309308308308308308307307307307307307307306306306306306306306306305306305305305305306306305305305305305305305305305306306305305305306306306306306306307306307306306306306306306306306306305305305304304304304304303303302302301301301301301301301300300300300300300300300300300300300301300300300301301300300299300300300299299299299299299299298298298298298298298298299298298299298299299299300299300300300300300300300300300299299299299298298298298297297297297296296296296295295295294294294294294294293293293293292292292292291291291291291291291292291291291292292292292292292292292292 999999999999999999999999999999999999999300999999999298299298298298298299298297295298999999999999999999999999999999999999999292290292292291291291292291292292291293294294294295295296295295295294295295295294294294294294294296295295294294295294295295297295296298297296298297297297297999999999999298299299297295298296295296300299297296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296293293291291289289289290290290291291291290291291291291291292292292293293293293293293293294294294295295295294295296296296297296295295294294294294293294294295296295296296296296296296295294294294294294293291290290283284283280279278277278278278279280280281281281281281281281281281282282283283999291294295294293293295294292291291291290290291291292292292293293292293293293294294295294295294295295295296296297296297297297297297297297297298298297299299299299299299298299299299299299298299298299299298298299299300301301301302301302302302302302303303303304303303304304304305305305305305305305305305305305306305306305305305305305305304304305305305305305304304304304304304304304304303303303303303303303303302302302302302301301301300301301301301301301300300300300300301301301301301301301301301302302302303303303303303303303303303303303303303303303303304304304303303304304304303303304304304303303303304304304305305305305305305305306306306306307307307307307307308307307308308307307307307307307308308307308308308308308308308308309309309309309310310311311311311311311311312312312311311311311312311311311311311311311311311311311311312311311311311310310310310310311310310310310310310310311311311311311311311311310310310310310310310310310310309309309309309309309308309309309309309309309309309309309309309308308308308308308307307307307307307307307306306306306306306306306306305305305305305305305305305305305305305305305305305305305305306306306306306306306306306305305305306306306306305305305305305304304304303303303302302301301301301301300301300300300300300299300300300300300300300300300300300300300300300300299300300299299299299299299299298298298298298298298297298299297298299300299299300300299300300300300300299299300299299299299298298298297297297296296296295295295295295294294294294294293293293293292292292292292291291290290290290291291291291291291291291291291291291291291291 999999999999999999999999999999999999999999999999999296299299299297298298300297298299297999999999999999999999999999999999999999291292291292292292291292292292292291293293294294294295294294294294295295294294293294294293294295294295293294294294294292296297297298299298297297296297298999999999999999303300300301302298295295299296294295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292292292291290289290289288288290290291290291291291290291292292292293292292293293293294294294294294295294295295296296297296295296295294294293293293293294294295295295296296295295295294294294293293293291289290283280281280278278277277277278279279280280280281281282281282281281281282284283999999999999293294293293294293292291291290290291291290291292291293293293292293292293294294294294295295295295296297297297297297297297297298298299298299299298298299298298299299299299300299299298298298299299299299299299300300300301302302302301301303302304303303304304304304304303304304305304304304305305305305305305304305304304304304304304304304304304304304304304304304304304304304303304303303302302302302302302302302301301301301301301301300300300300300300300300300300300300301300300300301301301301301302302302302302303302302303303303303302303302303303303303304303303303304303304303303303303304303304304304304304304304305304305305305305306306306306307307307307307308307306307307307307307307306307307307307307308308308308308308309309309309309310310310311311311311311311312312312312311312311312312311311311311311311311311311311311311311311311311311310310310311310311310311310310310310311311310311311310310310311310310310310309309310310310309309309309309309309309309309309308309309309309309309309309308308308308308308307307307307307307306306306306306306306306306306305306305305305305305305305305305305305305305305305305305304305305305305305306306306305305305305305304305305305305305305304305304304304304304303302302301301301300300301301300300300300300299299299299300299300299300299300300300300300299299300299299299299299299298298299298298298297297297297297297297297297298298299299299299299299299299300300300299299299299299299299298298298298297297296295295295294295294294294293293293293293292292292292291291291291291290290290289290290290290290290290290291291291291291291291291291 999999999999999999999999999999999999999999999999999297297296301298298297298300298297298297297297999999999999999999999999999999292292292293292291291292293292292292292292294293293294294294293294293295294294294293294294294295293294294293293293293293295295297297297297297297297296295999999999999999999999999999999999999294294294293295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291291290289289288288287288289290290290291291290291291291291292292292293293294294294295294294295295295295296296297296296295295294293293292292293294295295295295294295294294294294294293293292291290288999999280280277277276277277277278278279279280280281280281281282282282283283283279999999999999293292291292292292291290290289289290290289291291292292292292292293293294292293293294294295295295296296297297297296297297297297297297299298299299298298299298299299299299299299299298298298298299299299299299300300300301302302302303302303303303303302304304303304304303303303304304304304304304304304305304304304304304304304304304303304304304304304304304304304303303303303303303302302302302301301301301301301301300300300300300300300300300299299299299299299300300300300300299300300300300300300301301301301302302302302302302302302302302303303303303303303303303303303303303303303303304304304304304304304304304304304305305305305305305306306306306306307307307307307307307307307307306307306307307307307308308308308308308308309309309309310310310311311311311311311311312311312312312312312312311311311311311311311311311311311310311311311311311310310310310310311310310310310310310310310311310310310310310310310310309309309309309309309309309309309309309309308308309308308308308309309309308308308308308308308307307307307307307307307306306306306306306306306305305305305305305305305305305305305305305305305305305304305304304304305305305304305305305305305305304305304304305305305305305305304304304304304303303302302301301301300300300300300300300300299299299299299299299299299299299299300300299299299299299299298298298299299298298298297297297297297297297297297297297296296297298298298299299299299299299299299299299299299299299298299298298297297296295295294294294295294293293293293292292292292292292291291291290290290290290289289289289289289290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999298999999293297299299299297297297297298299999999999999999999999999999292292292293293292292292292292291292292292293293294293294294294293293295294293294294293294294294293294294293294294295294294296295296298298297297296999999999999999999999999999999999999999999999999290295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291291289288288287286288288289290290290290290291291291291291292293294294295295295294294293294295296295296296296297296296295294293293292292293293295295294294295295295294294294293293292291291290999999999999279276277277277277278279278279279280280281281282282282283283284284282999999999999999292291290291292291999288290290290289290290291291292292292292293293294294293293294295295295296296296297297297297297297297298298299299299299299299298298298299299299299299299299299298298298298299299299300299300300301301302303302302303302302303303303304303303303303303303303303304303304304304303303304304304304304304304304304304304303304304304304304304303304303303303303302302302302301301301301300300300300300300300300300300300300300299299299299299299299299299299300299299299299300300300300300300301301301302302302302302302303302303303303303303303303303304304303303303303303303304304304304304303304304304304304304304305304305305306306306306306306306306306306307307307307307307307307307307307308308308308308308308309309309309310310310310311311311311311311312311312312312312312312312311311311311311311311311311311311310310311310311311311310310310310311310309310310310310310310310310310310310310310309310309309309309309309309309309309309309309309309309309308308308308308309308308308308308308307307307307307307307307307306306306306306306306306306305305305305305305305305304304305305305304304305305304304304304304304304304304305305304304304304304304304304304305305305305305305304304304303303302302301301301301300300300300300300300300300300300299300299299299300300300299299299299299299299299299299298299299298298298298298297297297297297297297296296296297297300296298298298298298299298298299298299299299298298298298298298297297297296295295295294294294294294293293293292292292292292292291291291290290290290290290289289289289289289289289289289289290289290290290290290290290 999999999999999999999999999999999999999999999999999999999999295298999999999299297296297297297297299298999999999999999999294999999293293293293292293292291292291291291292291292293292293293293293294294293293293294294293294294293293294293294295295295295296295295296296295297296999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289285285286287287288289290290290291291291291291291293293295294295294295295294293294294295295295295295296296297296295295294293292292292293294294294294295295294294293294293292291290291289999999999999275276277277278277278279279279280280280281281282283283283284285284282999999999999999291289289999999999999288289290289289289290291291291292292293293293293294294294294295294295296296296297297298297297298298298298299299299299299299298298298298299299299299299298299299300299299300300299300300300300300301302302303302302302303303303303303303303303303303303303303304303304304303303303303303303303304304304304304304304303304304304304304303303303303303303303302302302301301301301300300300300300300300300300300300300300300300300299299299299299299299299299299299299299299300300300300300301301301301301302302302302302303303303303303303304304304304304304304304304304304304305305304304304304304304305304304305305305306306306306305306306306306306306306307307307307307307307307307307308308308308308309309309309309310310310310311311311311312312312312312312312312312312312312312311312312312311311311311311311311311311310311311311311311310310310310311311310310310310311311310311311310310310310310310309309309309309309310310310309309309309309309309308309308308308308308308308308308308307307307307307307307307307307307306306306306306306306306306305306305305305305305304304305305305304305305304304305304304304304304304304305304304304304304304304304304304304305305305305304304304303303302302302301301301301301300300301301300300300300300300300300300300300300299300299299299299299299299299299298299298298298298298297297297298297297297297297297297297296296299298297298298298298298298298298299298298298298298298298297298297297296296295295294294293293293293292292292292292291291291291291291290290290290290290290289289289289289289289289289289289289289289289289289289290289 999999999999999999999999999999999999999999999999999999999999999298999999999298297297297298299299299303999999999999999999295999295293293293293293291291292291290290290290289290292291292293294293293293294294294294293294293293293293294293293295295294296294296295295296295296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288287286286287286287289289290289290290291291291292294294295294292292293293292292292292293294295295296296296296296295295294293292291292293293294293294294294294293293293294293290288999999999999999275276277278278278278279279280279279279280281281282283283284284285284282999999999999999291290999999999999999288288289289289288289291290291291292292293293293294294293295294294295295295296297297297297297297297298298298299298299299299298298297298298298298298299299299300300300299300300300300300300300300300301301302302301302302302302302302303302303303302303303303304303303303303303303302303303303303303303303303303304304304304303304303303303303303303302302302301301301300300300300300299299299299299300300300300300300299299299299299299299299299299299299299299298299299299299299300300300300301301301301302302302302302302302302303303303304304304304304304304304304304304304304304304303303304304304304304304305305305305305305305306306306306306306306306306306306307307307307307307307308308308308309309309309309309309310310311311311311312312312312312312313312312312312312312311312312312311312311311311311311311310310310310310310310310310310311310310310310310310310311311311311310310310310309309309309309309309309309309309309309309309309309309308308308308308308308307307307307307307307307307307307307307307306306306306306306306306306306305305305305305305305304304304304304304304304304304304304304304304304304304304304304304304304304304303304304304304304304304303303303303302302302301301301300300300300300300300300300300300300300300299299299299299299299299299299298298298298299298298298298297298298298298297297297297297297297297297297297296297296298297296297297297297297298298298298298298298297297297297297297296296296296295294294294293293292292291291291291291290291290290290290289289289289289289289288288288288289289289289288288288288288289289289289289289289 999999999999999999999999999999999999999999999999999999999999999297999999999297297294298298299300301299298300295298297296295294294292292291292292291291292291290291291291290290291291291292293292292294292293294293293292294294292292293293292293292295296295295295293296299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286287287286287289289290290290290291291292293294294294293293999999999999292292291292293294294295296296296295295295294293292292292293293293293294294294294293293293293293290287999999999999275277277278278278279279279280279280279280281281281282283283284284285284999999999999999294293999999999999999999288289289288288288289290291291291292292292293293294293293294294295295295295296296297297297297297298298298299298298299299298298298299297298298298298299299300300300300300300300300300300300300300300301301302302302302302302302302302303303302302302303303303303303303303303302302303303303303303303303303303303303303303303303303303303302302302302302301301301301300300300300299299299299299299299299300299299299299299299299299298298298299299298299299299299299298299299299299299300300300301301301301301301302302302302302302303303303304304304304304304304304304304304304304304304304304304304304304304304305305305305305305305306306305306306306306306307306306306307307307307307308308308308308309309309309309310310310310311311311312312312312312312313313313313312312312312312312312312312312311311311311311311311311311310310310310310310310310310310310310310310310311311311311310310310310309309309310309309309309309309309309309309309308309308308308308308308308307307307308307308307308308307307307307306307307306306306306306306305305306305305305305304304304304305304304304304305304304304304304304304304304304304304303303303303304303303303304303304303303303303302302302302302301301301301300300300300300300300300300300300300300300299299299299299299299299299299299298298299299298298298298297298298298297298298297298297297298298297297297297297297298298297297297297297297297297297297297297297297297297297296296296297296296295294295294293292292292292291290291291290290290290290290290289289289289289288288288288288288288288288289288288288288288288288288288289289289 999999999999999999999999999999999999999999999999999999999999999999999999999299298294295297298299301298298297297298295294295294293999999999292292292292291292291290290290289291291292291292293292292292293293294292294293293291292293293292294294294293296293293293293297300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287286286287288289290290290291292293293293293293294293292999999999999999999289291292292294293294294295294294295293292291291291291291292292293293294293291291292292291999999999999999999275277277277278278279279280279280280281281281282282282282283284284284282999999999999293292294290999999999999999288288288289289287289289290290291292292292293293293294293293294294294294294295296296296296297297298298298298299299299298298298299299297298298299299299299299299298298300300300299299299299299300300301301301302302302302302302302302302302302302302303303303302302303302302302302302302302303303302303303302302302302302302302302302302302302302301301301301300300300300299299299299299299299299299299299299299298298299299299299298298298298298298299298299298299299299299299299300300300300300301301301301301302302302302302303303303304304304304304304304304304304304305304304304304304304304304304304304304304304305305305305306306306305305306306306306306306306306307307307307307307307308308309309309309309309309310310310311311311311312312312312312312313313312312312312312312312312311311311311310310310310311311311311310310310310310310310310310310310310310310310310310310310310310310309309309309309309309309309309309309308309309308309308308308308308308308307307307307307307307307307307307307307307306306306306306306306305305305305305305305305304304304304304304304304304304304304304303304304304304304303303303303303303303303303303303303303303303303302302302302302301301301301300300300300299299299299299299300299299299299299299299299299299299299299299298298298299298298298298298298297297297298297297297297297297297297297297297297297297297297296297297297297297297297297297297297297297297297297297296296296296295295295294294294294293292292292291291291291290290290290290290290289289289289289288288288288288288288288288288288288288287287287288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999296299299999298297297299296999999294999999999999293292291292292292291291290292290291293292292291292293293292292293293294293293292291292293292292293295294295294292294294298297297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286287288289290289290292292293293291290292293292291999999999999999999999293293293999294294292293292292293291290289289290290291291292292293293293291290291290999999999999999999275277277278279278279279279280281281280281281281282282282283283283284284282999999999292292292999999999999999999288288288287288288288288289289289290291292292292294294294293294294294294295294294295296296296297297298298298299298299299299298298298299298298298299299299299299299298298298299299299299299299300300300301301301302302302302302301302302302302302302302302303302302302302302302302302302302302303302302302302302302302302302302302302302302301301301301301301300300300300300299299299299299299299299299299298298298298298298298298298298298298298298298299298298299299299299299299300300300300300300300300301301301301301302302302303303303303304304304304304304304304304304304304304304304304304304304304304303304304304305304305305305306305306306306306306305306306306306307307307307307307308308308308309309309309309309309310310311311311311311312312312312312312312312312312312312312312311311311310310309310310310310310310310310310311310310310310310310310310310310309309309310310310309310309309309309309309309309309308308308308308308309309308308308308308308308307307307307307307307307307307307307307307306306306306306305305305305305305305305305305304304304304304304304304304304304304304304303304304304303303303303303303303303303303303302302302302302302302301301301301301301301300300300299299299299299299299299299299299299299299299299299299299298299298299298299299298298298298298298297297297297297297297297297297297297297297296297296297297297297297296296296297297297297297297297296296296296296296296295296295296295295294294294294294292292292292291291291290290290290290289289289289289289289289288288288288288288288288288288288288288287287287287287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298297298297298297295999295295294294999999296293292292293293292292291292291292292293292292292293294294295293292294293293292293293292293294293295295295295292294292296296299294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287288289290290291292293292291290292292291292999999999999999999999999999999999999999999999999999999999289289288287289290290291291291292293293291289288999999999999999999275276278278278278279279279280281281282281281282282283283282283284284284284284283999287293293999999999999999999288289288288287287288288288289289289290291292292293294295295295295295295295296295295295296297297298298298298298299298299299299298298298298298299299299300299299299299299299298299298299299299299300301301301301301302301301302301302302302302302302302303302303302303302302302302302302302302302303302302302302302302302302302302302302302301301301301301301300300300300300300300299300300299299299299299298298298298298298298298298298298298298298299298298298298299298298299299299300299300300300300300300300301301301301302302302302303303303303303303303304304304304304304304304304304305304304304304304303304304305304305305305305305305305306306306306306306307306306306307307307307307307308308308309309309309309309309309310311311311311312312312312312312312312312312312312312312312311311311311311310310310310310310310310310311310310310310310310310310310310310310309309309309309309309309309309309309309309309309309308309309309308309309309308308308308307308307307307307307307307307307307307307307307306306306306306306306305305305305305305305305304304304304304304304304304304304304304304303303304304304304303303303303303302303302302303302302302302302301301301301301301301300300300300299299299299299299298298298299299299299299299299299299299299299298298298298299298298298298298298297297297297297297297297297297297297296296296296296296296296296295295295297297297297297297297297296296296296296295296295296295295295295294294294294293293292291291291291291291290290290290290290289289289289289289289288288288288288288288288288288287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295296999297298299296296295999294294295999293294294293294293292291290291291291292293291292292293293293294293292293292292293292292292293294294292292292294294294297296295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284287999999999999999287287287288288289289290291292292292291291999292292293999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999292292292999999999999999999999274275278280279279279279280280281281282282282282282282282283283284284284284283284283282999289289999999999999292291290289288287289288287287288289290290290291292293293294294295296295295295295296296296296296297298298298299299299298299299299299299299299299299298298298298298299299299299299299300299299299299299301301301302302302302303303303303303303302302303303302303303303303303303302302302302302302302302302302302302302302302302302302302301302301302301301301301301301301300300300300300300300299299299299299299298298298298298298298298298298298299298298298299298298298299299299299299299300300300300300300301300301301301302302302302302303302303303303304304304304304304304304305305305305305305305304304304304304304304305305305305305305305305305305306306306306307307307307307307308308308308308308309309309309309310310310310311311311311312312312312312312312312312312313312312312312312312312311312311311311310310310310310310311310310310310310310310310310310310310310310310309309309309309309309309309309309309309309309309309309309309309309309309308308308308308308308307307307307307307307307307307307307307306306306306306306306305305305305305305305305304304304304304305304304304304304304304304303304304304304304303303303302303303303302302303302302302302302301301301301301300301300300300300299299299299299299299299299299299299299299299299299299299299299298298299298298298298298298298298297297297297297297297297297297297297297297296296296296296296296296295296296296297297297297297296296296296296296295296295296295295295295294294293294293292291291292291291291291291291291290290290290289289289289289288288288288288288288288288288287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999296297297999999292295294999295297296296296297295295294295291292293293294293293292291291290290291291291291291292292293293292292292291291292292291292291291292292292292292293292292294294293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285284285285285286286286285286287287287288289290290290290291290288290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273274276278279279279278279279279280280281281281281282282282283283283283283283282280281281999999999999999999289290289289288288286287287286286287288288288289290291292292293294294295294294294294295295296296297297297298298298298298298298298298298298298298298297297297297298298298298299298299299299300300299298299300300300301301301302302301302302302302302302302302302302302302302302302302302301302302302302302302301302301301301301301301301301301301301301301300300301300300300300300300300300300299299298298298298298298298298298298298297298298298298298298298298298298298298298298298299299299299299300300300300300300301301301301301302302302302302302303303303304304304304304304304304304304304304304304304304304304304304304304304305305305305305305305305306306306306306307307307307307307308308308308308308308308309309309309310310310311311311311311311312312312312312312312312312311312312312312312311311311310310310310309309310310310310309309309309309309309310310310310310310310309309309309309309309309309309309308308308308308308308308308308308308308308308308308308307307307307307307307307307307307306306306306306306306306305305305305305305305305305305305304304304304304304304304304304303304304303303303303304304303303302302302302302302302302302302302301301301301300300300300300300300300299299299299299299298298298298298298298299298299299299299298299298298298298298298298298298297298297297297297297297297297296297296297297297297296296296296296296296296296297296297297296297296296295295295296295295294295294294295294294294294294293293293293291291291291291291291290290290290290290289289289289288288288287287287287287287287287288287287287287286287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299292298296295296295296298298296295295294295293292292293294293293292293292291289290289291290290291291292291292290289290289290290290289291290291290293293292293292292291291290292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285284285285286286286286287287287286287288288288289290290289290289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275278278279280278279280279279281280280281281281282282282283283283283282282281279279999999999999999999999999291289287287287288286286287287287288289289289289291292293293293293294294294294293294296295297296297297298298297298298298297297297297297297297297297297297297297298298298298298298299298299299299299300299300300300300301301301301301301301301302302302302302302302302302302301302301301302302301302301301301301301301301301301301301301301301301300300300300300299299300300299299300299299299299298298298298298298298298298297298298298298298298298298298298298298298298298298298298299298299299299299299300300300300300301301301301302302302302302302302303303304304304304304304304304304304304304304304304304304304304304304304304304305305305305305305305306306306306306306307307307307307307307308308308308308308308309309309310310310311311311311311311311311312312312312312312311311311311311311311310310310310309310308309309310309309309309309309309309309309309309309309310309309309309308308308308309309309308308308308308308308308308308308308308308308308308308307307307307306306306306306306306306306306306306306305306306306305305305305305305305305304304304304304304304303304303303303303303303303303303303303303303303302302302301301301302301301301300300300300300299300300300299299299300299299299299299299298298298298298298298298298298298298298298298298298298299298297297297297297297297296297296296296296296296296296296296296296296296296296296295296296296297296296296295295296296296295295295295295294295295294294294293293294293293293293291291291291291291291291290290290289289289289289289289288288288287287287287287287287287287287287287287286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999294295296296297297298296296296295293294294294294294294293293292292291289290290291290290290290290290291290289290289289288289290290290291290292293291293292293293293289292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285285284285286286286286286287287287287287288288289289289289288288289286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275279280279279278278279279280280280281281281281282282282282282283283282282282281280279999999999999999999999999999999999286286286287286287287287288289290290290291293293292293294294294294294294294296296296296295296297297297297297297297297297296296297297297296296297297297297297298298298298299299299299300299299299299299300300300301301300300301302301302302302302302302302302301301301301301301301301301301301301301301301301301300300300300300300300300300301300300299299299299299299299299299299298298298298298298298297298297297298298298298298298298298298298297298297298298298298298298299299299299299299299299300300300300300300301301301302302302302302302303303303303304304304304304304304304304304304304304304304304305304305305305304304304305305305305305306306306306306306307307307307307307307308308308308308308309309309309310310310310311311311311311311311311311311312311311312311311311311310310310310309309309309309309309309309308309308308308308309309309309309309309309309309309309308308308308308308308308308307307307308308308308308308308308308308308308307307307307306306306306306306306306306306306306306305305305305305305305305304305305305304304304304304304303303303303303303304303303303303303303303303302302302302302301302301301301301301301300300300300300299300299299299299299299299299299298298298298298298298298298298298298298298298297298298297297297297297297297297297297297296297296296296296296296296296296296297296296296296296296296295296296296296296296296295296296296295295295295295294294295294294294293293294294293293293293293292291291291291291290290290290289289289289288288288288288288287287287287287287287287287287287287287286287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999293295298298297297296296294294294295295294294294293292292292292292290289290289290289289290289290291290290289289289289290289291291291291291291292292292291290291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285285285286286286287287288287287287287287288288288288289288287286999999999999295295296296296999999999999292292291291290289999286286284283284283283284284283283281999999999999999999999999999999999999999277278277279279280279279279279279280281281280281281281281282281282282283282282282281282279280282999999999281281999999999999999999288287288288287287288288289290290291292293293293293294294295295294295295297296296296296296297297297297297297296297296297297297297297297297296296297297298298298298298298298299299299299299300300299300300301301301301301301301302302301301302301302302302302302301301302301301302301300300301301301301300301300300300300300299300299300300300299299299299299299299299299299299298298298298298297298297297297298298298298298298298298298298298298298298298299298299299298298298299299299299299300300299300300300300301301301302302302302302302303303303303304304304304304304304304304304304304304304304304305304305304305304304305305305305306306306306306306307307307307307307307307307308308308309308309309309309309309310310311311310310311311311311311311311312311311311311311310310310310310309309309309309309309309309308308308308308308309309309309309309309309309309309309309308308308308308308308308308307307307307307307307308308307308307308308307307307307306306306306306306306306306306306306306305305305305305305305305304304304304305304304304304304303304303303303303303303303302302302302302302302302302301301301301301301301300300300300300300300300300299299299299299299299299299298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297296296296296296296296296296296296296296297296296296296295296295295295296296296296296295295295295295295295294296294295295295295294294293294294294293292294293292292292292291291291290290290290289289289288288288288288288288287287287287287287287287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296999999999999999297296297297297298297297295294294294294294293292292291293293291291288290289288288289289290290289289290289289289287288289290292292289289291292292293294294293296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285285285286286287287288288287287288288288288288288288288288288287286999999999999295297296297296295294293291291291290290289288286285284284284285284285285285285284283282999999999999999999999999277277274276277277277278279279279279280279280280281281281281281281282282282282282282281282281281281280280281285999999282284284282283284999999288288287288287288288288288288289289291293293294294294294295296296296295295296296296295296296297297297296296296296296296296297296297296297297297297297298298298298297298298298298298299299300300299300301300301301301302301301302302301301302302302302302302302302301302301302302301300301301301301301301301300301300300300300300299299299299299299299299298298298299299298299298298298298298298298297297297298298298298298298298298298298298298298298298298298298299299299299299299299300300300300300300300300301301301301302302302302302303303303303304304304304304304304304304304304305304304304304305305305305305305304304305305305305306306306306306306307308308308307307310308307308308309309309309308309309309309309310310311311311311311310311311311311311311311311311310310310310309309309309309309309309309309309308308308308308308308309309309309309309309309309308308309308308308308308308307307307307307307307307307307307307307307308307307307307307307307306306306306306306306306306306306306305305305305305305305305304304304304304304304304304303303303303303303303303303302302302302302302302302301301301301301301300300301300300301300300300300300299299299299298298299298299298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297296296296296296295296296296296296296296296295296295296296296296296296296296296295295295296295295294294294295294294295294294294293294294294293293292292292291291291291291290290290290289289289289289288288288288288288288288287287287287287287287287286287286287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296297296298297296295294293292294294293292292291291291290290290288289288288289289288289288289289289288287287288288291291291288288293293294293291290293290292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285286287287287287288288288287287287288288288289288289289288287289287999999999296297297296296296295293292291291290289288287287286285285285285286286286286286285285285284283283282283282280276279277277276275278278278278278278279279279279279280280281281281281281282281282282282281282281281280281280281281281999999285285285286285285285284283284286288288288288288288287288287290292293293293293295296296296295295296296295294296295296296296296296296296295295295296296296296296296296297297296297296297297297297297298298298298299299299299301300300301301301302302301301302302301302302301301302302302302301301301302302302301301301301301301301301300300300300300299299299299299299299299299298298298298299298298298298298298298298298298298298298298298298298298298298298298298298298298299299298299299299300299299299299299300300300300300300300300300300301301301302301302302302303303303303304304304304304304304304304304305305305304305305304305304304304304305304305305307307306307305307308308308308306309309310309309309309309309310309308309309309309309309310310310310310311310311311311311311311311310310310310309309309309309309308308308308309309308308308308309308308309309309309309309309309309309308308308308308308308307308308307307307307307307307307307307307307307307307307307307307307307307306306306306306305306306306305305305305305305305305305305304304304304304304304303303303303303303303303302303303302302302302302302301301301301301301300300300300300300300300299299300300299299299299299298298298298298298298298298298298298297297298297297297297297297297297296296296297297297297297297297297296296297296296296296295296295295296296296296296296296296296295295295296296296295295295295295295295294295295295296295295295295294294294294294293293293292292292292292291291291291291290290290290290289289289289289288288288288288288288287287287287287287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296296297297296293292292292291291292290290290291291290289289289288287288288288289286288288289288287289287287288288289290291292292291291290290290291291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286287287287287288288288287287288288288287288288289288286286288999999999294295295295295296295294292292291292290290288288288287287287288288288287287287287286287286286285284283282279279280277277274276277277278278278278279279279280280279280281281281281281280282282282281281280281281281280280280279280282999999286285284283285284286285285286286288288288288288288288288289288289293293294294293295295296296296296297296295295296296296296296296296295295295295295296295295296296296296296296296296296296296296296296297297297297298299299300299299300300301301301301300302301301301302302301301301302301301302301302302302301301301301301301300300301299299299299299299299299298299299299298298298298298298298298298298298298297298297297298298298298298298298298298298298298298298298299298299299299299299299299299299299299299300300300300300300300300300301301301302302302302302303303303304304304304304304304304304304304304305305304304304304304304304305305306305306306307307306306307307308307308308308309309309309309310310309310309310308308308309308309310310310310310310310310310311311311311311310311310310310309309309309309309309308308308308308308308308308309309309309309309309309309309308308308309308308308308308307307307307307307307307307307307307307307308308308308308307307307307307307307306306306306306305306306305305305305305305305305305305304304304304304304303303303303303303303303303303302302302302302302301302301301301301300300300300300300300300300300300300300299299299299299298298298298298298298298298298298298298298297297297297297297297297297297297296296296296297297297297297297297296296296296296296296295296295296296296295295296296296295295295295295295295295295295295294294295295294294294295296296295295295295294294294294293293293292293292292292291291291291291291290290290290289289289289289289288288288288288288288288287287287287287287287287286286286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295296297297297295294292293291291292291291291291291291290288287287285287287288288288288288288287289289288287288288289290289289290290290290287288293291289290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286287288287287287288288288287288288288288288288288287285284287286999999293293293294295294294294293293292292291290290289290290291291291291291290289289288289288289288287287285283281278277277277276277277277278278279279279280279280279280280281281281281281281282281282281282281281281282281280282281282282999999286285286285286285286286287286287288288287288288288287287288288288291292293293293293293294294295296296296295295296297297296296296296296295295295295295295295296296296297296296296296296296296296296296297296296297298299299299299298299298300300301300301301302301301302302301301301300301301301301301301301301301301301302301300301300300300300300299299299299298298298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299299299299299299299300300300300299300300299299300299300300300300300300300301301301302302302302303303303304304304304304304304305304304304304304305305305304304304304304304305306306305307306307307307307307307308308309309309307307310308308309310310309307308308308308309309309310309310310310309310310310310311311311311310310310310310309309309309309309309309308308308308309309309309309309309309309309309309309309309309308309309308308308308308308307307307307307307308307307307307308308308308308308308308308308307307307306306306306306306305305305305305305305305305305305305304304304304303303303303303303303303303303303303302302302302301301301301301301301300300300300300300300300300300300299300299299299299299299299298298298298298298298298298298298298297298298297297297297297297297297297297297297296297297297296297297296296296296296296295295296295296296296295295296296296295296296296296295295295295295295294294294295295295296296296296296296296295295295295295294294293293293293293292292292291292291291291290291290290289289289289289289289289289288288288288288288288287287287287287287287286286286286286286286285285285285285