2020 8 14 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117120116118124127129131129132135139140140143141139135132131129125115107106105104103103105107109114116117117116117117117117116118119118118118116114114115114113113112112111112111110109108113110113112111108110999999999999999999999999999999999999999999999999999999999999999999999134134133133132132133133133132132999999999132132132133133133133134134135135999999999135135135134134133133132132131131131130130129129128127127126125124123122121120119119117116115114113112110109108999107106105104103104105105106106107108108109110110111112112113113113114114114114114114114114114114113113113113112112112112111111111111111110110110110110110109109109109109109109109109109109109109109109110110110110110110110110110110110110110110110110110110110110110110110109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110113115118117119123126127129129131135138137136137135135131126124122117107104102100 99 98 97102105108111113114115115116116117118118117117116114114116115114114113113112111112111110110110110110115114113113112108999999999999999999999999999999999999999999999999999999999999999999134134135135134134133133134134134133133999999132132132132132132132133133134134999999135134134134134133132132131131130130129129129128127127126126125124123122121120119118118117115114113112111110109108108107106106106105105106106107107108109109110111112112113113113114114114115115115115115115115115114114114113113113113112112112111111111111111111110110110110110110110110109109109109109109109109109109109109109109109109109109109109110110110110110110110110110110110110109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158155999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110106110113113116118122123126129129131133132131129128128128122118116111104101100 99 97 96 97100103106107108109110112113114115116117116115116115116116115114114113113112111112111109109110110112113115114116118999999999999999999999999999999999999999999999999999999999999999999134135135136136136135135134134134134134133133132132132131131131131132132132133133133133134134134133133132132131131130130129129128128127126126125125124123122121120119118117117116115113112111110109109108107107106106106106106106107108109109110111111112113113114114114115115115115116116116116116116115115115115114114113113113112112112112111111111111111111111110110110110110110110110109109109109109109109109109109109109109109109109109109109109109109109110110110110109109109109109109109109109108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141153152148148145133136137135137136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108113117120123124126128129132131132135135136134131127124121117114111107103100 99 99 98 97 96 99102104106108109110112113114115115116116115115114115114115114114112112111110110108109109111109112113116116999999999999999999999999999999999999999999999999999999999999999999999999999137137137138137136136135134134134134133133132132131131130130130130131131131131132132132132132132131131130129129128128127127126126126125124124123123122121121120119118118117116115114113112111110110109108108107107107107107107108109109110111111112113113114114114115115115115116116116116116116116116116115115114114114113113113112112111111111111111111111111110110110110110110110110110109109109109109109109109109109109109109109109109109109109109109109109109109109109109109109109109109108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147154146152134129126127133135136140140135131999999999131145140143146145999999999999999999999999999999999999999999999999999999999999999999999999999999106131106108124110126130132134135135134140140135135131129123118115112110106102100100 99 99 99 99 99 99101103107109110112112114114115115115115115114114114114113113112112111109108108108111108108112999999999999999999999999999999999999999999999999999999999999999999999999999999137138138138139139138137136135134134134134133132132131131130130129129129129130130130130130131131130130130129128128127127126125125125124124124123123122122121121120120119119118117116116115114113112112111110109109108108108108108108109109110111111112112113114114114114115115115115116116116116116116116116116115115114114114113113112112112111111111111111110110110110110110110110110110110110110109109109109109109109109109109109109109109109109109109109109109109109109109109109109109108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140999999999999999999999999999999999999999999999999999999999999999130133134146148147142134132126124127130141135140139135135137130131132137138141143145146147999999999999999999999999999999999999999999999999999999999999999999999999104138105999999999999999999136137139137137133130136134126122116115111109106101 98 99 98 98100101100100100103107109111112113114114114115115115115114114114114114114113112112110109111107108106113999999999999999999999999999999999999999999999999999999999999999999999999999999999138139143144139139139138137136134134134133133132131130130129129128128128128128129129129129129129129128128127127126125125124124123123123123122122122121121121120120120119119118117117116115115114113113112111111110109109109109109109110110111111112112113113114114114115115115115115115116116116116116116116116115115114114114113113112112111111111111110110110110110110110110110110110110110110110109109109109109109109109109109109109109109109109109109109109109109109109109109109108108108108108108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150999999999150148149149148148148147148148145144145143142143148149150152152152143999999999999137138137134133136140141999999999999999999999131135132131132134999999999131132133146145141137129130128125133135137140141139133132132131132134135136135136142143142999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120142136140138126126114111111111107107106103 98 98 98 96 96 98100101102104106108110110111112113114115115115114114113114115114113113112108109110109111112111112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140141141142144144142142136134135135134132131130130129128128127127127127127127127127127127127127127126125125124123123122122122121121121121121120120120120120120119119119118118117117116115115114114113112112111110110110110110110110111111112112113113113114114114114115115115115115115116116116116116116116115115114114114113113112112111111111110110110110110110110110110110110110110110110110109109109109109109109109109109109109109109109109109109109109109109109109109108108108108108108107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159153153153153152152151150150150150150150148148149150148145141140141143145145146146143148146142999999999999134134135134130131132133137141136133133131128127126123125128129130999127131132132133136135134132133134133135140142138137140137131126129129135134134135135137140139143143130128127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123135117117118113106103106105103104101 99 95 97 97 96 95 97 99101103105108109109110111111113114114115114112111112112112112109110110106108109108113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140145143142142143142141142142146141135134132130130129128128127126126126126126126126126126126126125125124124123122122121120120120120120120120120119119119119119119119119119118118118117117116116115115115114113112112111111111111111111111112112112113113113114114114114114114115115115115115115115115115115115115114114114113113112112111111110110110110110110110110110110110110110110110110110110109109109109109109108108108108108108108108109109109109109109109109109109108108108108108107107107107107107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155155154153152150145151151152153154153154156157155153153153153151147143151153150146142140146144144143130131128130129128126125125125127126129131134132132134129128128127126127127129128125122121122133133130131133135135135134133138140142132135132132130130122122131141142142129128128128143125123999999999999999999999999999999999999105108100100 98999999999999999105 96 95110111 94 95100104109108101114121 99 98103104102 99 95 97 99 98 99 98 95 97 94 96 99104107108108109110111111112111112111111111111109109112112112111108107109114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138139139142140139139139134135137139139135999999131129129128127127126126125125125125125125125124124124124123123122122121120120119119119119119119119119119119119119119119119119119118118117117116116115115115114113113112111111111111111111111111111112112112112113113113113113114114114114114114115115115115115115115114114114113113113112112111111110110110110109110110110110110110110110110110110109109109109109109108108108108108108108108108108108108109109109109109109109108108108108108107107107107107107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152151150150150151150150148151152153155157157157157158158158156155155154150147144150154151149148149147138135140134136135133131128127129128122125127130131132131135129129129128130132129129131131129125123123123126129134135135134132131131137137133126122128127127114114113112128999999999999999999999999999999999999999999999999999999112109105102 99 96 97100106 99 96 96 93 92 93 95 91 90 91 98101103104 99109109109105 98 99 99 99 92 91 97104104102 97 97 97 96 97103104106106108109109111112112112113113112110108108109111112109107110108108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136141142137135136135135134134135999999999999999999119121124126127127125124124124124124123123123123123122122121121120120119118118118118118118118118118118118118119119119119119118118117117117116115115114114114113112111111111111111111111111111111111111111112112112112113113113113113114114114114114114114114114114114114114113113112112112111111110110110110109109109109109109110110110110110109109109109109109108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143149148146146148150150149151151153154156156158159159160159158158157156155154153152150151152151153152153155152153151149148148146144140138136134130132131132132134136135133131130132133133132131134135134132129129131132134135135133130129128133126124125120112112116117115114113109112126999999999999999999999999115113111116109999999999106108106104103100102101101103101 98 98 94 94 95 97100104 95101101101110113112100110110 91 93 91 91 88 92103108104 96 96 98 98 99102105104104105107108110111110111112112113112109107107108108104102107110112111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134142142138136137132131135135999999999999999999999999127123125126125125125124123123123122122122122122121121121120119119118118117117117117117117117117118118118118118118118118118118118117117116116115114114114113112112111110111111111111110110110110110110111111111112112112112112113113113113113113114114114114114114114113113113113112112112111111110110110110109109109109109109109109109109109109109109109109108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145144140141144149151151152155154155156158157158159160160159159159158158157156155155154154154155156156155157157156156154153151149149145144142140141141142141141140138137135137138135137136134134136136136135134134134133134134132131129129129126121122120121118117119118115114113110112111113109111999110109109108107107104105106103101101102104104103102 99102101 91 95 98101 96 86 96104 94103100102103 95110111108103102 97 94 97 94 94 95 95105108102 97 95 96 99101104105109107106107106106106110109110111111111110108106104104103103105111112110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131139142142142140138137133130134999999999999999999119121123123124125126125125123124123123122121121121120120120120119118118117117116116116115116116116116116117117117118118118118118118118117117116116115115114113113113112111111110110110110110110110110110110110110110110111111111112112112112112112113113113113113113113113113113113113113112112112111111110110110109109109109109109109109109109109109109109109108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144142140136135138143147149151153156157157159159159159159161161161161161161160160160158159158157158159160159159158159158158156156155155154152150147144143145147148148147145145143142141140142140137138139138137136136136134133134133131127125127127123121122123122123123122121117116114112111106108109113112113111110109109108107106103104106105102102103101 99104102103 92 94 95 97 97103109109 85 86105104106 94 95 95 94 96 94 97 97101104105108109109105 99 95 94 96 98100106109109109107106106107107107107109107107107106105102103105105110116116109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131137137137138139136139135132129130999999999130127125123123125126126126126125124123123123121121120119120120120120119118118117116116115115115114114114115115115116116117117117118118118118118117117117116116115114113113113112111111110110110110110110110110110109109109109109110110111111111111111111112112112112112112113113113113113113113113113112112111111111110110110109109109109109109109109109109109109109108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107107107107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143140138136136137138141144148152154157157158159160161161161161162163163163164164164164164164164164164163163162161159159159159159158158157156154153150147146148151151151149149147145144142144143142142142140140138138137136134133134134133129127128128126126125124123125125125124121121120117114113113113113113112114112105105108107105105107107106103101102101 99102102 91107102 98 91 92 93102104102104102106101 99103108110108106105105110109110113113109 98 96 94 95 96 98101105106108109106102104105105105106105103102105106105104107110114116121109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141135134136134135135135132130129130132999131129129127127129130130130129128126125125124123123122122121120120115115120119118117117116116116115115114114114114115115115116116116117117117117117116116116115115114113113112112112111111110110109109110110110109109109109108108108109109109110110110110111111111111111112112112112112112113113112112112112112112111111111110110110109109109109109109109109109109109108108108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141139137136136138139140142144148151153156157158159160161161163163163164164164165166167167167167167167167166165164162161161160160160159158157157155155152151150151153152151151149148146147147147147147147147145144144143142139136135134134133132130130131132131129125125125129130129128127125122121119116115116114113113112106108113112110111112109107107106105103102101100 98 97 96 96 89 90 94101104105103101104102105113116119119118115114116115114113112103 95 91 92 93 94 97 98101101103104 98 98101102104103103100101102104106109111114116118109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131134135131117132134132131131126124128129131130130129130130130131130129129129128126126125124120119119122121120116115115119118117116115114113112116115115115114114114115115115115115116116116116115115115114114113113112112111111111110110109109109109109109109109108108108108108108108108109109109110110110110110111111111111111112112112112112112112112112112111111111111110110110109109109109109109109109109109109108108108108108108107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146143141138140139138139140140141141143145147150151152154156158159160161162164165165166167166167168168168169169169168168167166165164163161162161161159159158157156156154153153153152152150151151151148147150152153148148151149149148147145141138137137137137136135134134134134131130128128130132134135133131129127126120118116115114116117114113113112114114114110107107106104103100 99 97 97 97101101 94 95106111116116116114110105107114118121121120118117118116117115112106100 90 91 92 94 89 93 95 99 97 98 98 96 97 99101102102100100102107111114119117122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134126126122118132131130128129123122126131130129129130130130131131129128127126125125125125124123118121121120119118117118117116116115115114114115115114114115115114114114115115115115115115115115114114114113113112112111110110110110109109109108108108108108108108108107107107107107107108108109109109109109109110110110110111111111111111112112112112112112112111111111110110110109109109109109109109109109109109108108108108108108107107107107107107107107107107107107107107107107107107107107106106106106106106106106107107107107107107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148144141139136136137138139141142143145147150150152152153154157160161162162163164166167166167168168169169169169170169169169168166165164163163162162161160159158158156156155153153153152151150151151150150150150151152150152152150150150148146145143142141140138139138137136135135134132131130131133135136135135133130129123121121121123126124120117115114116114113112109108107105103101102105110111112113107106116120124121124116110108113115119120118118117114118114112112110101 94 93 91 90 88 87 88 89 93 94 92 91 93 94 97100102102103105110113116118121107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132127124122122121130130129127126124123125126128129129127128128129128126124123121122122121123122122122122122121122121120120119119119118118117116116116116115114114114114114114114114114114114114113113113112112111111111110109109109109109108108108108108108108107107107107107106106106107107107108108108108108109109109110110110110110111111111111111111111112111111111111110110110110109109109109109109109109109109108108108108108108107107107107107107107107107107107107107107107106106106106106106106106106106106106106106106106107107107107107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151144141139139139140140142142143145148151153155157156154153156159162163164164164164165167168169169169169169170171170169170169169168168166165165164163162161160159158158157156154154153152152152150150149149150151151149151153153153152152151149148147146144143143142141140138138136136135134134134134134135136137136134133131128127126127128129126122120117114114112112112105103108110115120120118118119120118115118122121121122127124121121120119119119117117115116114111112108100 99 95 93 94 92 89 90 90 90 91 89 90 90 92 92 96100104110112115117117106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131142141125122121125131131130128127126126127128128129129128130128125126124125124123123122122123122122123123123123123123122121121120119119120119119117116116115115115114114114115114114113113113113112112112111111110110110109109108108108108108108107107107107107107106106106106106106106106107107107108108108108108108109109109109110110110110111111111111111111111111111111110110110110109109109109109109109109109109108108108108108108107107107107107107107107107107107107107107106106106106106106106106105105105105106106106106106106106106107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148147144143144143141141141142143147150154157159160161159157156160163164165166165166166167168169169170169169169170171171170170169169169168167166165164163162161159159158158157156155154153152152151151149147147149149151152150151153155153151151150149148148146147146144142142141141141140140140140141140140139139138137139138135133131131132133132129127123120120117114111111101102115119122127125123122124124121122121122129130131130127125124122121118116116117116114111108108106100100 96 95 93 92 90 91 93 92 92 92 93 91 92 93 96102107115119122123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140139119123124131132133134133130129129130129130129129129126129126125124124124123122123123124124122122122123123123124123123122123123122122121121119118117116116115116115115116116116116115112112112112111111110110110109109109108108108108108108107107107107107107107106106106106106106106106107107107107107108108108108108109109109109110110110110110110111111111110110110110110110109109109109109109109109109109109108108108108108107107107107107107107107107107107107107107106106106106106106106105105105105105105105106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150146137139142141141140142143146148151153155157161163161159160161164165166167167167167168169170170169169169170171170171171170170169168167166165165164163161160160159158158157157156155154153153153154151149150149150151152150151152153154152151150150150151149147147146145145144143144144144144144145145144143143142142140140139137135135136137135132130127124123123120113109115121128131129130130129128128128126123122127131132131130127126125121119113112112115113112111110107107104101 99 96 93 93 93 94 97 98100 99 99 98 97 97 98103108116107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141140138136135137139138137134133131130130120121129129130125111111119125124124123122123124124124123123122122123123123124124123123124123123122122121120118118117117117116117116116116115113113114111111111110110110109109109108108108108108108108108108108108107107107107107106106106106106106107107107107107107107108108108108108109109109109109110110110110110110110110110110109109109109109109109109109108109108108108108108108108107107107107107107107107107107107107106106106106106106106106105105105105105105105105105106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150143137128135137140141143146150155156156157157156159163163162162163165166167167169169169169170170170170169170170170170170169169169168167167166165164164163162161160159159158158157157156155154153155153154152151152151152154152152153153153153152152150149149149148148147148147146146147148148148148147147147146146145143141142141140139138138138138137134133130130128126122118120122135131134135135134133133133132131132132133133132131131128124121119114116115114112113113109108108106102 96 94 94 95 97 95 96 97100100101101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133143141141141134143143142140137135128125131120121129128128122120119119119119124123122123124125124123123123122122122122123124124125124124124123122122121119118117117117116116116115113113113113113113112112113110109109109109108108108108108108108108108108108108107107107107107106106106106106106107107107107107107107107108108108108108108109109109109109109110109109109109109109109109109109109109108108108108108108108108108108108107107107107107107107107107106106106106106106106106106105105105105105105105105105105105105106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138133143135129134138144146151156158159159159159158158162164165165165165166167167167167168168169169170169169170170169169168168168168167166166166165164164163162162161160159159158157157155154153154154152153151153153152152152152152155156153153152152153151150149150149149149149148148149150150150149148148147147146145144144144144144142141140140139140138137136135132130125124122126135133134133134134134135135133135134134133133132131128126123118115114115114113113113109108109108107100 97 96 98101 99102102101100101101102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145144145136999999999999130138136129127127130129129128128128120121125125120119123123124124125124124124120120120120120121122122123124124125124123122121119118114112117116116114113112112111111112112111111112112111111109108108108108108108108108108108108108108108108107107107107106106106106106106106107107107107107107107107108108108108108108108108109109109109109109109109109109109108108108108108108108108108108108108108108108107107107107107107107106106106106106106106106106106105105105105105105105105105105105105105105105106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155135146136145137141144132139145148152157160161161160160160158157159162165166166166166166168167167167167168169168168168169169168168167166166166166166166166165164163163162162161161160158157157156155154154154151150151151151152152152152152152153152152153155153153153151150151151151151150149149150151149149150149148147147145144143142146143143142141141140142139139139137135134132130129129128130131131132134133133133132132130133132131131130129124122121117117116115114115115112111110111109107104101100103104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144999999999999999999999129134132131129124128127123121126125124119118118118117119125122122124120118118117117118118121122123124124124123121120119118114112112113114110112111111110110111111110105106107108109108108108108108108108108108108108108108108108108108107107107107107106106106106106106106106106107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108108108108108108108108107107107107107107106106106106106106106106106106106105105105105105105105104104105105105105105105105105105105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144144149150149144142148153145148147154158161162162163162162161159159160161163164165165165165166166165165165166166165166167167167167166164164163162164164163163163162161161161159159159158156157156154154153153152150150150150150151150150150150150149151152154154154155153151153151151151150149150150150151150150150149148148147147145143145145145142141142142142143141140140138137136135136133133132135136135135135134134136135134136135133132133129127125124118118119117115116117113112111112110109106103 99 99102105120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126130130128122122126125125123124120119118119118118117122124120124124122119115114115117118121122123124124124122120119118117113112112111111110113112111109109110108108107106107107105106110109108108110108108108108108108108108108108107107107107107107106106106106106106106106106106107107107107107107107107107107107107107108108108108108108108108108108108108108108108108108108108108108108107107107107107107107106106106106106106106106106106106106105105105105105104104104104104105105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143138143144145154147142146152150148147152154157159160161161161162161161160161160161161162163163162162161161161162163164163163164164164163162161161160160160160160160159159159158157156157157157156155155153153152151151150149150150150149149149149148150150151153154153154154155151153153152150152150150151150150150150150149149149148148146146145146146144144143145143143143142141140138137139138137137139137137136136136136135136133132135136135132129127126125126124122120117116116116114112110110110107102 98 99 99103112122106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123128127124123124123123122123122121118122121122118118116122124125124123122121120115116118119119119124123122120119118117117116113112111111110109108108106106106106107107108106107106107107107108108108108109108108108108108108107107107107107107107106106106106106106106106106106106106106106107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106106106106106106105105105105105104104104104104104105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129127130131135135136135148152151147151155158159160161161159157156157160161162162162161161161162162162161160160159158158160161161160160160160160159159159159158157157158158158157158158158157156156156156155155153153152152153152151152151151151150149148149152152151154154154155155155155155155153153153151151152152152151150150149149148148147147146145145145144144143142143142142141139138137137137134136139135136136135135136135135134134136136136134127126124124123126125123120117116116113114113112110109106102101100102108115125107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123126126120119123121121123122123121121121120121122122122121121121120123124123124123123123122123123117118118117117119119117118117118116116115110114113108108107106106106109106107107106106106105108106107107107107108107107107108107107107107107107107107107106106106106106106106106106106106106106106106106106106106106106106106106106106106107107107107107107107107107107107107107107107107107107107107107107106106106106106106106106106106106106106106106106105105105105104104104104104104104104105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134133134135133133137140148145141148152157161163164163163162161159158159160160163163164164164164164164164163162162160159159158159159158157157157158158158158157156156156156156156156156157157156156156156156155155153153152153152152151151150150149149148149149151151150153153154154154154154154154154153154153152152152151150150150149148147147147148145145144143146146142142142141141139138139138137133133137134135135132133134135134133135134135135135130127125121122127125124121118115112115116114113111110107105103103103107115121128108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122124124121119119118118118119119120120120120121121121121121117116123125123123124124124124125124124122115115115117118119118118118117116116115114114113112112111111110109108105105106106105106106107106106107106106105106106106106106107107107107107107107106106106106106106106106106106106106106106106106106106106106106105105105105105106106106106106106106106106106106106106106106107107107107107107106106106106106106106106106106106106106106106106106106105105105105105104104104104104104104104104105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126126127127140143144140136135138139139144149154157161163163164164162161160160160161161160161162164164164164164163164163163162161160158157156156154154154154155155156156155154154156156154155156155155155156155156156156155154153152153152151151150149149148148147148150150150150151151152153153153154154154154154153154154154150150151150150149148148146147146145144145145145144145143142142141140139138137138134135137134134134134132131131131130130132133132134134130129125124125125122119112111112114116115114112110110110107107106106112117122129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139120121121118116113115115116117118118119121121119120120120120120114114115123124123121122122122122121120119114114115116116116114118117116115115114114114113112111111110110109108108108104108105105105105106104105106105106106105105106107107108109114106106106106106106106106106106106106106106106106106106106106105105105105105105105105105105105105105106106106105105105105106106106106106106106106106106106106106106106106106106106106106106106106106106106105105105105105104104104104104104104104104104104105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128125127128129137145146138135134137142147152157161163164165165165164163163162161161162162163163163163163163163163163162162162161161160159157155156154153153154154153153154154153152154153153153154153153154154155155155154154153153151152149148149148147147147146148149150149149150150150150150150153153154153154153152151152150151151151150150149148146146145145145144143145145144143142142142141140139138138139137137136133133135133134133132132131130131129126126129129128125121120116115113110111111114117116114111112113111109106109110110121126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123120116117117114114115116117118119120121121121116116121121120114116123124123120119119119119118119119119117114113116111111113112116115114114114113112112111110110109109109109108108109109109104109109108105106105106105105104105106107107106106110106106106106106106106106106106106106106106106106106105105105105105105105104104104104105105105105105105105105105105105105105106106106106106106106106106106106106105105105105105105105105105105106106105105105105105104104104104104104104104104104104104104104105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134125130132132132135145137138138140143148153157160163164164164164164164164163163162162161162162163163164164163161161159159159159158158157158158158156155154153152152152152153153151151152151151153153153152152153153153153153152151151151148146146147148147148151151148149149148149149149149149150151152152152152152151150150150150149150150149148148146146144144144144143143144144142143142142141141140139139140140141137136134137136135136135136136135135133131126125124125123118116115115115115113112113116117116114114115112108104106111111110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118121122118115113114116116114117118119119122121122121120115115119119120121122113113114114113114118118118118118117116116116115115115116114115114114113113113111110109104105110110109108109109109109109109108108103105109109109105106106106106107106107106107111109106106106106106106106106106106105105105105105105105105104104104104104104104104104105105105105105105105105105105105106106106106106106106106105105105105105105105105105105105105105105105105105105105105104104104104104104104104104104104104104104104105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122121123130134134134134138147139141143147150155158160162163164164163163162162162162163162161162162163163164164163160159158157155153150147148152152155157157156154153153153152152152152151149150149149150152151150150151152152152151150150148148146147145147148148151150150147148148148148148149150150150150149150150151151149149149149149149148148147146147146145145144144143143142143144143143142141140139139139142142142141139138136138136137137136136135135137136134129124122121116115116117119119118115115117117117116117115112105102107112114113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117119119118115115115116117117116117118119120120120120121121120119118119120121121121114113113113114115118117117117117116116115116115114115115114113114114113112110109105106109109109109109109108108109109109109109109109109109108108108109105106105105106107107107106111106106106106106105105105105105105105105104104104104104104104104104104104104104104104104104104104105105105105105106106106106106105105105105105105105105105105105105105105105105105105105105105105104104104104104104103103103104104104104104104105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136125126128130130132132137139143145145145145148150154157160162161162162161161161161160160161159160163165164164164164164162162161158153146142142139144151153157158156154154152152152152152151150150150147147147149147148148150150150149149149149148147147146144148149149150150148147147148148147147147147147149148148148148148149147147147147146146146145145146146145145144143143143142142143143143142141140140138138143143141142141141138138135136137137136138139141140136136132129126124120120121120117115121118117117115115115114111105103104112111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115115116116114114114115111118115116119120122118119116116117117120119120120120120122119119119114113114113113117117117117117117117116115114114114113113114114113110109104108109108108109109109109109109108108109109108108108108108107108108105105105105105106106104104102104105106105105105105105105105105104104104104104104104103103103103104104104104104104104104104104104105105105105105105105105105105105105105105104104104105105105105105105105105105105105105105105104104104104104103103103103103103103103104104104105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129124125127131134134134135137140143145147148147148150153157159160161160160160159160160160159159159161164166166165165164163163164162159152149140142141145148153157157155153152152151151151151150151150147148147146148146147147148148149148148148147147146148147147147148147147147147147147146146146146146147146146147147147147147147145145145145145144145144144145145144144143143143143143144143143142141140140139140140141141141140140139138139136136136137137138142143142137137135133130130127126124122117119121120119117116114112109105104103113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116116113117115113113115100117103101113115118120119116117116117117117116118120120122118118118118113113118118118117117117117117116116115115115114113113113113114112111112111110108108108108109108109108108108109108109109107108107107107107107107108107105104105105104104105105107106106107105105105104104104104104104104103103103103103103103103103103103103104104104104104104105105105105105105105105105105105104104104104104104104104105105105105105105105105105105104104104104104103103103103103103103103103103104104105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143129124129128131138142142139139141144147148149152154153154157159160160161161161160159160161161160160161162164165165165165166166166166164161158152149145145146150153155155155155153152152152153152152152150148148147145148147147147146146147147147146145145148147146144145144145145146146145146145145145144145146146147147146145146145145145144144144144144143143143144144144144143143144142143143143143143142140142142142140140140140140139139140138138137136142138142142143139138136134135132132129127125125124123123123121120118116112109106105107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113114114115114115117105114121122121120118116116117116117115115116120119112113113119118118118117117111112117117117116116116115115115114113114114113113113116116113110109108108109109109109108108109108108108108108106107107107107106106108107108105105105106105106105105106106105105104104104104104104104104103103103103103103103104104104104104104104104104104104105105105105105105105105105105105104104104104104104104105105105105105105105105105105105104104104104104103103103103103103103103103104104104104105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135130129132136138138140143144145144145147150152152155157157158159160161161161161160160160161160161162162163164165165165165167168168169168165163161158154148145142143148151154155155155155154153152150151150150148148145144144142142143143144145145144145144146146145144144144146146145145145145144144143144144144146146146145144143145145145145145143143142143142143142143142142142142145144144142142141142142142141141141141140139140140139138140139138138138137143143142142142139137136137136137134130128128130127126127127125123119115115113112109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114115116118118116116118119120121122121113113113116115116114114115116116114112116119118119118117117111111112116116115115115113112112114114113114114114114111112110108109109109108109109108107107107107107107108107106106106106106106105105105106107106106107105106105105105106103105104108104104104104104104103103103103104104104104104104104104104104104104104104105105105105105105105105105105105104104104104104104104105105105105105105105105105105105104104104104104103103103103103103103103103104104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130131137142147146143143143145148146147149152153155157158158159160159160161162162161160161162162162164165165165165165165166168168169170169167166166164158148147142138143147152154156154154154152152149150151150149148146145140138139140142142142142143143143145145145145143144145144144144144144143142142143142143144144144144144144144144144145144144144142142142142142141141143143144144144143142142142141141142142142140141140139140139139139139138138138137142143142142142140139138138137138136134133134133132133132132131130127123120119117115116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114116118120119118116118119119121121120114112113114114114115114113112116113113114114113112113111110109110109108114108108114114112112112113113114114115114111108106107106105106106109108108107106107107106107106105105106106106106105105104105106106105105105104103102101103105106103105103103107105104104104104104104104104104104104104104104104104104104104104104104105105105105105105105105104104104104104104104104104105105105105105105105105105105105104104104104103103103103103103103103103103103104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130134139144147150148145142143150152152150153152153155156158158159160161162162162163162161162162162161163164165165164165166167167168169170170170169168165157142139138140139144150152152149149151149148147147147148148148147145137140138139138139139140142142144145145143144145143143143143144145144142142142141141141143143143144143144143143143143143143143143143142143143143143143142143142142142142142141141140142141141140139138139139140140140138138137138138142142142142142139138137137136138136136136136135134134135134134132129126125117120119121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116119121120118117119120121121120120120119116113115116116115115113121120111112113112111111110110114114114113113112111112112113113111112113115115115109108113107106107106104107106106105105104105106105102104105105106105105105106106103104104104103103105105103104103102101103104104102104103103103103104104104104104104104104104104104104104104104104104104104104104105105105105104104104104104104104104104104104105105105105105105105105105105105105104104104104103103103103103103103103103103103104104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125127133141144145147150150149146146149152153152155155155157157158159159160162162163163163163163163162162162163164165165164164165166166167168169169168168168165157148140141136140145145147145142142146143140142142143143141141140139137135134138139138135137138140142143144143144144143143142141141141142142141141140140141141141141142141142142142142142141142142141140141141142141141142141141141140139140141141140140140140140140139139139139139139139137137137138142141141142142140139138137137136138137137136136135135136135135134131127126120116118116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116119119120120117118120121122119122120120119120120119119119118110117117117117116114114114113112112112112111111110110111111112112112112113115115115114113113112109107107107107107106106106105105104104104101101106106101104102103102107105105104105106106105104105101100 99100103104102100 99100101102107108108104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104104105105105105105105105105105105105104104104104103103103103103103103103103103103103103104104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130136141145146148150151152153151151152155155155157157158159159157158159160162163164165164164164163162162162162163163164163163163164164165166166166167166166163159155148140138139139136137138135136135134136141140140138135136135138135134134136139142137136137142142141141141142142143142142140138139141140140139139140140140139140140140141141142142142141142142141139140142142141141141140140140139139140141141140140140140141141140139139136139138138138137139142142141141142142139139139138138139139138137137135134135135134134134134131126117114115122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141139133119123999999999999999117115115117120120121121122121122123122119119119120119119119119118110117117117116116111109113112108110109109110109110110109110111113112112113114114115115114112112109107107106105105105105104103102100100101100104105105100102103103102105104104104104106105104103104104103 99101101104105105106105105104107108108107106104104104104104104104104104104104103103104104104104104104104104104104104104104104104104104104104104104104104105105105105104104104104104103103103103103102102102103103103103103103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132139141143143143144146151150150151153157155158157158158158158158159159158158159161162163165165164164164163161161160161162161161162161161162162162163163164164165165164162159153145139138136133133134132133131131136138137134134128133133134134133132135140141143138139143145138139140140140140141142140138139140140140139138139140139138138138139140142142142141141141141141139141142142142141140140140140140140140141141142141140141141140140139138137138140139135141142142142141140140140137138138138138140139138137135135134134133132133133133131126120117116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129140138134126123121121999999999115117118119116118119121122122122123123124120120119120120119119118117118117116115115115114114113113107109109108107108109109109109110111111112111111112112112112111109108107107104104104103102103102104103103103101104104105103101101105105105103103104104105105105104105103103102101103104102106108104103103106103105104107106104104104104104103103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104104104104104104104103103103103103102102102102102102102102103103103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131132135144148149148147147149152152153153155156158157158158159159158158158158159160161162162163163163163163163162162161160160161161161160159158159158158159161163164165165164162159155148142139137132133132130131129130132131131127138134131131133128131129126137138136137133131137137138133134137135140139139139138138139139138138138138141136136136138139140140139139140140140140140140141141140140140139140140140140140143141141141140140141139140139138138140140139140141142142141140140140140137137137138140140139138137135133134134133132131129129127122115110122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131133131128126123123121119116118119112112113121122121120121121122122124124123121120120121121120119118117114115115115114114113112113111110107107107108108106107107108108108109109109110110111110110109108106107106103102102102105104103100100 95101104104104104105105105106105104105105105105105105105105105103102101102102102102104104104104102101102104106106105104104107103103103103103103102102103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104103103103103102102102102102102102102102102102102102102102103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120129139142141145149151151151151153155154157154156157156155156159159158157157157156156158161162163162162162162163162162161161159159159160160158157156156156157159160161162163164163162161158155150143141139134134129126131129133131130132131142140141146146133127138131135133134132129133133137131131132133137139139138136135140140140137137140137136136136138138137138138138138139140140140140140140140140139138139138139140140140140140139140140140139139143139140141140140139139141140140140139139137137138137137141140140139135134131132132130128127127125122117112111122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129131129127126124123122122121121122121113114114121120119120121121122123123123123122121121122121120119118115114114114115115115114113111110107107106106105105105107107109107108108108108108107109109109108106105105104105103103103102100 98104103100103103104104104105105104104105105105105105106105105105106103102102101100100 97103102102102103102102102103104104102101106106106106102102102102102102102102102102102102102103103103103103103103103103103103103103103103103104104104104104104103103103103102102102102102102102102102102102102102102102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121124127137144147147149150150149148150152153155157154154154153153156159158156152155156155155157158161162161162162162162162161161160158157157158158157156155156156157158159160161162163162161161160159154144141139138136136138137138135133133128130137144137149149133131132131135129126122127133134132134126130132131133135135134133133140141139140137136135134135136136135135136137138139140139140140140139139139139139143143142138139140139143143140143141140143143141140141141141139140140140140140139136136136137138140141141140138136133130130129128126123122121122118110110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135133130127125124122122123124123123121115115116120120121124123122121121122122122122122122121120120118113113114115115114114114113111112111107105105105104105105106105106106106107107107107108107107108108105105104103103102100100100101103103103102104104104104104104104103104105105105106105105106105104105104103103102102101102105104 99100101104104103103103103102 98102104105103105105102102101101102102102102102102102102102102102103103103103103103103103103103103103103103103103103103103103103102102102102102101101101101101101101101101101102102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125122122126130138143146145145145144143143144145147150152149150149152151152154154153155155156155154155157159160161161161161161160161160160157156155156156156154154154154153154155157158159160160160160159159154145140140141141142143139134132131126132136142137148146146132135128125130123120119119119126126128131128130127129128130131132133137137134136135135134134134134133133134136137139139139139140143139139139139139139142142141138142141142142142142138139142140140140140141141141140140140140139137138135136136137137140141141141139137133132131129127125123118116116113111107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134136133130129127125126125125124123121120119115115118122122123123122121121121122122122122121120120118114110111114115113113108109110110106108105104104103103103103104103104104103104104106106106106106107105104103103103102 99 98 99102102102102102102103103102103103104103103103103104104104104103104103103104102104104104102104104105106105105103103104102102103102104100 99101103104104105104104101101101101101101101101102102102102102102102102102102102102102102102103103103103103103103103103102102102102101101101101101101101101101101101101101101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124123123122122124128135140142141140139140140136137141142143146146146144148151151153153153154154156157157156158158159160160160160160159159159158159158155154154153153152151150150151152154155157158159160161160159156152146141143144147144138132132128128133134145144143142141141143120123123121120119117118116124125128124133129126136134137133134138133134135135135134134133132132133134135136138139138137138137138139138139137141142141141140139141141141141141138137139140139139139140140141141140140140138137138137136136138140140141140141139137137133131129126123121118116114112109113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135135130125127126125127126124122119118118114115116121123123123122122122121121121123122121119118116115113112111111108106108107106108106107100 98103 97101101101102103102102102102102103105105105106102104104100100100 98101100100101101100 99101101101102102102102101101102101101101102102102103103103102102102104105104105103103104103104104103104103103103102102102102101101101102103100100101102103103101101101101101101101101102102102102102102102102102102102102102102102103103103103103102102102102102101101101101100100100100100100100100100100100100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121121120119116115117122126133137137136134136137136136137136137139141141142147148151152152153155155155156156157156156157158158158159159158158158157157157156154153153151148147147148150153154155156157158160161161161159156153148146146148145136129126125123116120121117122124115123123109118124120121120118118116116117122122130133133132135132133132133131132134134134133133132131130131133133134136136136137136137137136140141142142142141140139139140139140139139139139138138136139139141142141141140140140139138138137136137137140140138138139136135135134132130125121122119117114111103121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131132126124123124127127124121120119117117115115123123123125125122121121122121121122121119117117115114112109108107103104104103104106105104104102101 98 99 99 99101101101101101102103104105104106105104102103 99100100 99100102 97103 98101101102102102103103 99103100101100100100100100101101101102102100102102102104104103102103102102103103103103102103103102102100100100100102101 99 98 99 99100100 98101101101101101101101101101101102102102102102102102101101101101102102102102102102102102102102101101101101100100100100100100100100100100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117117116115115114112111112113115118121120123126130134135133133133136137137140142145148153154154154153151153154155156156154156157157157157158157157157156155155154153152151150146144145147150153153154154156157159160162161160158157154150148148145134125124124123121121124120119117118118117115117126107107115113122122122116117121128131133133135132131130129129130131131130131132131130130131131132132133135136136135139138138139139140141139139138139138138138138136139137136136137134139140141141140140139138138138138137138136138139140138139138140138137136135136133131126123120116113109 98121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131130127123123126127125123117118119119121121122123124125125124122122123122123123121120119118118116116113111108105102110105107102104103104105104100 99100100100101100100100101102103103105103103103102100101101100 99102102101101101 94 97100100101101102102101102101102101101102102 99100101101101100100102101101100101102102101101101101101103103102102103104 99100 99 99 99100 99 99 98102 98 99100100 98 98 99101100101101101101101101102102102102101101101100101101101102102102102102102102102101101101101100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113117115115113110108106106107108110111112112112115120128132132133131133133134135138139144145150152152150148146146148151151151152151152152152153154155154156155153152150149146146145143142143146149151152152154154156158160160159159158157155151147145143131124124124124124122122121121121122119118119119118117119117115122119122115116117123130133133134130130129129128129130129130130130130130132130131129130133134135138138138138139139138139139139138138138138138138137136138138138137136136138140141140138140139139139138138140141140140140142140142139140140139138139136132132129124118116113106115121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133133128121117125128125122119121122123122122122122122121119119120119120119120121120121121119119118117114111111110105107108999999999101102100 99 96 99 99 99100101100101101101102102103103102100100100101100100100 99 98101101 95 96 97 99 98 99100100100100100101100101101101101 95 95 99100100100100100 99101 99 99100100100100100101102101102103102103104101100 99 97101102103103107 99100 98101 99 99 99 97 97 97100100102101101101101101102102101101101100100100101101101102102102102102101101101101101100100100 99 99 99 99 99 99 99 98 98 98 98 98 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999105105108111112112110108106106108109109109108109111113999117123126123128128127129130132135137140143144146146146142142141142143145145145145145143144147146149150150149148146144142140139139141143145147148151152151153152155158159159158158158156154150147146142129126126126126127126125125124123125122123126127124121123123122121120119118117120121129133134133130130129129127127126128130131131132131132132132130130130132135136137139140140140138138139138138138138138138137137136136137138139141135137139140139138139138139138138141142141143142142142141139141140140140140138135133131128124121116113115114108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125132129122118123128123121123125124123122121119117117117115114116118118118119119119120119118117116114114111111110110107108107999999101106105100101 99 98 99100101100100101102102102102102101100101100100100100100 99 99100 96 99100100100100100100 99100 99100100 99100 96100 98 95 93 94 95 94 95100100100 99100100101101100101100101101101101101100102103100104105102101102102104104100 98101101104102101 96 95 97 96 98102 99102100101101101101101101100100100100100100101101101101101101101101100100100100 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118113106101101102104106108108107105107108112999106106107119999999999999999128129121120120123128133136138142141142145144141140140139139140140139139139138137139140140143143142141140138139139140141143147147148149150150150151153155156158159159157157155152149145144140128128129128128130130128128126125125127127129130128127128128126124123123127125125126128132132131132132128127127126126127128131133133132132129129130130130133135136136138138139139137136138137137137137137137136137136136137138140141136138139139138139139139139137137138142142142142141142141139141141141140140139136133130126124120117112120111107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130127121118123124125125126124123121118117116115115113111113113115117118118117118118116115114113113112113112110110108107115999999101106105101100 98 99101100 98 99 99101101101101100101102102101100100100 99 99 99 97 97 98 99 99 99 99 99100 99 99 98 97 98 98 97 97 97 94 94 91 91 93 93 95101 99 99101100101101101101101101102 99102100101100102100 99104104102103104101102104 99100101101103105100 96 98 96 97 98 98 99101105103102100100100100100100 99100100100100100101101100100100100100100100 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126121116112105100102106108106110108108105999999999111104103107999999999999999999121119120123124122122129134135139141142142141138138138138136137138139139137137135135136137135133133133134138140141143145147148148149147149150150151152154156157159159157156154151148144142139130130133131131131129127127125124124126126129130131130131129126124126127128129129127126129131129130126131127126126127128130131132132132128129129130131133133134135136138137138138136136137136137136135135135136136136136137138139139136138139140138137137138138137137140140140140142141140140141141141139139139139136134131126123119113107116112106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121128122119119122125124125123122118115115114114112109110111111111111114114115114114114113112110110113113112111110109108109112999999999105102100101101103103100 99 99100101101100103101103102100100100 99100 99100 97 98 99 99 99 98 98 99100101100100 98 99 98 98 99100 98100100101 93 94 95 96100100 99101102101101103102102100 99 99 99101100 99100101102102102102104102100102 99 98 99101101104104102 98 96 96 98105104104103102102101100100100 99 99 99 99 99100100100100100100100100100 99 99 99 99 99 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126127133127119110109113118119114112114116115113109107105104105999115999999999999999120120120125127124122128132133136139140138136137137134134134136138140138137135133131133133131130130129132137138139140143146146147147147145146149151153155156157157157156155153151148143140137128134136135134132131130128126127126128130131132133131130127126126127127127131127128128127127124125125127125126125126129130131131132132127127129132133134134134135136136137137136136135134136135135135135136136136137137137137135135136137137138138136136136137139141140139139140140140140140141139139139139138138136133132130124121116117111113111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127124120118119121122123122120119115115113112113114114114113108108114111113112113111112111110110113112112112111110107110107104101999999100102102103102102100100 97100101101102103103102101100101 99100 99 98 97 99 99 99100100 98 98 93 94 98 99 99 98 99 98 99100 98 99100 92 93 94 93 95 99 99100 98101101101103103103102100 99101 98101100 99101 99100100100100102104101102 99100100 90 91100102103102102102 99 98101101101100101101 99100 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126128145139130121122129129129117117118117116112110106101104108116124124999999999111113115117123127128128130133134134134132130133132133132131133134134135135135133132129130130130131130129131135136137138140145146146145146144144145151153155156156154153152153152149145141138137131134137138136134134134133133131132131131132132131131134131130129129128128128125129127128126123124128125127126126127130130129131132130127127132133134133135135135136136137137136136135135136135135135134137137138138137138138135134136136134134136137137137136139141139139138138138140140139139138137138137136135134131130128124120111118119111108121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120121120117117117118117116118117116113112113116115116113114112113113113115114111111109108112112111111109108107106105105104102 98100100100100100101 99 99100 99999104102101102102100100100100100100 99 98 98 99101102101101100100 93 96 96 94 95 92 93 91 99 99 98100100100 93 93102 96 98 99101100 99102101102103103102101101102100 99100 99 98100 99100100 99100100 99103101103100 99 91 95 99100101102104 86 97 96 98 97100101 98101102 95 95 99 98 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 96 96 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118140142146146142115118116124119113110102102105110114119120119120112111113119122127129129130131134134132131127123126127128130129130130130130130131131130129130129130128128128128131134135137139142144145147146144142141147151152152151150150150151150147142140138134132134136137135133134136136136136135132132132133134136132130129129129124125126127129129129125125126127127127127126129130132127130130130129131132134134136137137136136137138138138139137137136132132131133134138139139138138135135135135134135135136136137137138138138138139138138138137137139138138138136135135135133131130126122120113110107111108119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119117118116117116115115115116108109117113114115115115116117115113114113113113111111111110111111111111112111109109107106107106 98 99102 98 99 93 97100 99 99 99100100 99101103106100100101 99 99 97 97101 98 97 98 96102101101100100101100 98 98 94 94 94 94 93 92100 97 91 90 92 91 92 92101101102 99 99 98 96 98100101102 99 99 99101 99100 98101 97 95 97 99100 98 97 98 99100101 99101 99 98 86 87 85 98 98 99101 86 86 87 93 98 98 98 98109 92 95 94 95 96 98 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116999999999999999999999999999114 98 99105108110114118114115115112113122126128127129129130129132132132129126125124125128128128127126126126126127127126127126126124125125127128131135138139142145147148147143141138141146148147146147148149149147143141138137134132132132131132133136136137138138138135133133132132131128130130126125123124125123123125125125125126127127129126126130130130129129129134131134130133134137137137137138138140139136138136135135133132132133137138138138134134134135135135135136135136136136137137136137137138138139139139137138138138138137137136135135133129125123118115113117109108108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108108108110999999999999999999107112112109106 99100107105106109115112115115114114114115117116114112113113112112113112112111110110111112111110109109106106105105 99 99101101 98100 98101 98 96 96 98100100102102103104101100 99 99 98 97 97 97 99 97100100 99 99100 99100 98 97 98 98 92 93 92 98 98 98 90 90 91 91 92100 92100101101102100100 99 97 98101 99 99 98 99100 97 98102101 94 96 99 99103 95 94 95 99 96 96 97 99101100100101102101101101 97 97 97 98 98 98 98 98 98 98 84 92102 91 93 98 98 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 97 98 97 97 97 97 97 97 97 97 97 97 97 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108106103108113111115125117118125121122123122124125127127124127130129132129127128128127126124126125124125125124122122121121120122122124126130132134138141145148151152150150148148143143142142143143143143145145144143140136135134131129132131132135137137137138138137135136135134133131131129129127127128127128123125125126126127127127128127127128127129131131130132136132132132134138137138136136137138138139135134136135135133133131131134136137137133133134134134134134134133134134135135135136137137138138141141141139138138138137137135135134135134132127124120116112111110111111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114114112112105103101108108108101104110117105104 94105106106109108112112114115116117114115114113113113112112112112112111111110110110109110110110110110105105105105105102103102102100101102 99 98 91101 99 99100100102102101 98 98 99 99100101 96 95 96 96 96 95 94 92 98 98 98 97 97 97 98 98 99 99100 99 98 90 91 91 91 97 99 99100100100100101102102102102102 96 97 95 99100 99100 99103102101103 92 93 93 94 95 93 94 98 96 98 99 98 99 99100 99100100100102104102103 98 98 98 98 98 98 98 98 98 98 98 98 98 99 99 99 99 99 99 99 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121118114113113118111117123125127120122123122122121122122126126128126124125124122126125126128121122121124125124122122122120119121120121125130134140142145148153155155154152151149148147145145139140140140139142142143142140136134135135135136133133138140137138138138135135135136135132133130130127128126128130131130126125126127129128129129128128127127127131132132137138135133136136135136134135135136137133134136136132131135133132131132133134133133131131132133133133133133133134134134134135136138138138138140140140140138137137137135133132132133134134129127121117113112111112113113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113111111112109111109108109111111110111102101104105110108108109108108107109111114114111111112113110110111111113114113112111111110109108108108109109110108107107103103102103103103103103 99102103101 98 98101101 99100100101100 99100100 98 98 97 94 95 97 98100 95 96 94 92 98 98 98 95 98 99 98100100 99 99 97 97 97 97 99 98 96 99 99 99100100100100101101101102101 98100 98 98 99 99 98 97101101101100101 87 99 99 97 97 98 95 98 97 98 96 97 98 99 97 98 98 98 98100 99103103100 98 98 98103 98 96101 99101 98 98 93 95102 99 99 99 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126120116113117999999999142138128120123123122121124127128999125118121125126125124128999999120119123124129129123120122124124124124124126130139146148150155158158158157157999999999999146145146142141139137141140141140138137136136136136136136140141140136138138137135136136134135133134133132131132130130133133131126127128129130130131130127126128128129132132136134135134134134135134133134132134131133133133133133132132132132131130135135133131131132130130130132132132133132132133133134136135138138138139138137137137137136136135133130134133132132132130126122115112111111112114114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118114112110109109107107104105110111111113102100 99100111110110110110109107108109110110109110110110109108108109111112113113112110109108108107107106108109104107107104103102101 98 98 99102106102101 99 98 97 99101101101101102103101102102102 99100 98 98 97 97 98 98 97 99100101101101101 99 99100102101100 98 99 99 99 99100 99101 98 98 99100100 99 98 98100100100101 97 98 99 95 96 97 96 94 97 96 97 95 96 97103100 97 97 97 96 96 97 98 97 97 98 99 98 97 95 94 94 94 96 99102 99 93100101101 96 95 99 98 97 97 98 97 96 96 98100100 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131124125999999999999139137135129124125125126125130130127999999999999999999999999999999999999126127124123127128128130130129129131131131133138145149154159160161161159158999999999999999148145144143137139137139139138138137136136137137137138143144141140138136135135136135135137134132131131132135135131134134128128129129130130131131130130128128133133134134134134134132133131133132132128126128131132132132132132133132132131130135134134134133133133132132132131131131131131130131132133134136137137138138136135135136135135134133132131131132130128128127125118114112112114114112112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122117114111112111109107105106112111111112114101 97 98110109110110110109108108109109110109108109108109109108108109110111111111110108108108108107106106103100102104104105102102104102 98101103100 99 98 99 97 98102102100100100101103102103 99 99 99 99 98 98 98100 99 98 99 97 97 99102101100100100101102101100 94 95 94 98 97 98 98 98 98 99 99 98 99 96 97 97 99 98 96 97 97 98 98 96 96 96 96 94 95 95 98 92 96 95103102102 98 96 96 96 96 97 97 96 96 96 97 93 92 92 93 94 96100102 99 96100 93 96 98 98 95 96 98 97 97101 98 98101102 96 99 99 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148135132145124999126127140138130128128130130131135138128129124999999999999999999999999999999999999999125118126131133132133132132134135136137140145151158162163163164163160158150999999999999142142141137135135136136138137138137135135138139141145144142142137136135134133132134137137130130130132135134130130131130131130131132131130131131129131130134135136131135134134132132129131131129125125128129131132132131136136136135135134135135134133134134133131129130131131130131131131131131131132134134137137136135136135135135134135134133130130130129128128127126120117112112113114115114112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118121120118116114113112111111110112110110111108108114112112111110110110109109109109110108108107107108108108108108109110109111110108106106106106107107106104104100108105104105103104105103102100 99100100 98 98 99100101101100102102102100 99100 99100 98 98 97 98 97 99 99100 99 99100101 99 98100100100101101101 96 95 95 98 98 98 98 98 99 98 98 98 99 98 99 99 98 98 99 97 97 96 97 96 97 97 96 94 93 93 94 97 95 97 98101102102104101 95 95 95 96 98 97 97 97 94 92 92 92 93 94 96 96 97 99101 99 98100 97 96 90 94 97 97 99101104101 96 94 92 99 96 94101 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150151157157124999999999999999129128131136138141148150133122999999999999999999999999999999999999999999999999130131133134133134136135138140144146148153159162163164165164163161159158999999138140140143136134133135135136136137141140135136139143145144142141137135135134134138137137136135131131131133130131130132132132132132132130131132131131132134136136135132135134133132132130130130127128127127128130131131131135135135135134133132133132133135130130129130129130131131132130131132132132131132132134135135135136137136135136135135134130129129128127125124123121117113109114112114114112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124122122120118117116113113115114109110109108108109115113113111112109108107107108107104108107107107107108108107108107107107108107104104104104103105105 99103103102108105108102107108107102103100101100101102 95 98100101101101101103101 99101101100103100 96 96 97 97 96 97 98 99 99100 98 99 97100 99 99100100100100100100 99 98 99 97 98 98 98 98 98 97 99 99 99 97 97 96 97 97 97 96 95 96 96 97 91 93 94 95 94 93 96 98100102103101100 97 97 97 96 96 95 96 96 91 93 92 89 95 95 96 92 96 97 98 97 98 96 96 89 97 95 97 97 99101 99 99 98 98 98 93 93 93 95 87 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120124124124124999999999999135132131136140147148157999999135999999999999999999999999999999999999999999999999130132134135136134137138140144147150152156160161163164165164163162159157999999140135140136132129130134135135135136135135136137136142144144146142139134136138137137137137136135133133133131132132130134133132132131131133136135134135135135136135135135135135133131132131131127126126126126126129130134134135135134134134132131131131132133128130131130134132133131131130130132132132133133133134135136136136136135135134135135134129131130129128123121120120116116110115113112113113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121123124122120118117116112114114114112110109109108115115113112111111110111108107106107105106106106106105109109108107107107107106104103101101103104104102100103103104106108108107107107106102103101103101102102102100 99101102102101104101100100 96102101101 97 97 96 95 95 96 98 99100 99 99 99100100 99 99 98 95 99100 92 99 99 94 94 94 94 94 94 99 98 99 99100 98 98 96 96 96 97 96 96 95 96 97 97 94 91 94 94 96 94 93 96 98100102101 98101 83 97103 97 93 96 96 95 95 90 95 94 95 92 88 90 90 94 95 97 97 96 87 96 97 96 96 93 95 97 97 97 98 98 98 98 98 89 89 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134132135138148156156999999142142999999999999999999999999999999999999999999999999999132133134135135134138143149154159159158160161162162164163161160160150145999139132132129130130130132133133133133138135136137136142144144145143141137137138137138138138137134133132132132133132131133133132131130136134136135134135135135135136135135135134133132132132132128128128127125131133131132134134135135135134133131127132131130128127130133133132132132132131131132132132133134135135137137137136135133131132134134130129132130130130125122120119115116116115110110113115114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121124124121119118117116114115114113113113110110113114114113109110111111111109108106105105105105104105106100102107106104105105104103103101101104104103100100102101105105106102105106106105103 99102102101 99100100100101102100101101104100100101101101101101100 99 99 97 96 98 98 98 99 99100 99100100 98 99 91 97 98 91 97 98 99 99 94 95 94 94 94 95 98 98 98 99 97 97 93 94 94 96 96 96 95 95 97 93 96 95 94 94 95 94 94 93 97 96 99100 96 97 95101102 98 92 91 96 95 95 90 96 92 96 92 86 88 92 95 93 97 95 95 95 96101 92 85 96 96 97 97 97 97 97 97 98 98102104104101 97 97 97 97 96 96 96 96 96 96 96 97 97 97 97 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135151147145144147151159999999999142142999999999999999999999999999999999999999999999999999999999134134137135133136141152158162161159158158161162162162162160152150999999999129128129128128130131131131133133137138139141143143143144144144143140138138138138138137135133133132131132132131132130132130130129135134134134133135135134134135134135134133132132131131126127126127127125129128129131135134133135135135136132128129131129130126129132133132132132132131132132132133133133134134135135135134133132132133134131130129132132130130127124120119117114113113113112112115115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124128127125122119117116115114115114114115114114114114113107110110112113111109109108103103108107106100100100 98106105 99106104104104104102102105105104102102102102102104105105106107106102103100102102101 96 96100100100101101100100100100101 98 99101100101100100 99 99 99 98100100100100 99 98100 99 98 99 99100100 95 95 97 99100 99 98 98 93 93 94 93 97 98 98 97 95 95 98 97 98 98 96 94 94 95 95 94 94 94 93 93 93 96 96 91 93 97 94 98 93 93 99100 96 93 94 95 95 95 94 80 95 97 97 97 99 97 95 93 94 95 94 94 96 96 96 97 96 96 96 97 97 97 97 97 98103102101101102101 99 99 97 97 96 96 96 96 96 96 96 97 97 97 97 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136135135135134134136999999999999142142999999999999999999999999999999999999999999999999999999999999999999134136134133137149158162159156156156156157163166165161152999999999999136133126123126129129130131136133139138138140142143142142142143143141138138137137137135133132133133132129129130131129130129129132133130131130131132133135134133134133132131131130131129126125126126125125132130130131131133134134134135136134128130128129128125130130130131132132131130130131131131132132133133133132131131131132131132131131131129131130128127127126124119116117113114115115115114111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122129127123119116116115113115116112110114112110108107107109111111110110109107107101101102102 99100101101106106103102106103102102104103104106106104103102102101101102103106105106104103102 97 99100 99100101100 99100101 99 99 99 99 99100 99100100 99101102102100100101101100102102102100 99 98100 98100 97 99 98 97 99 98 98100 99 99 99 98 98 98 91 97 94 97 95 95 96 96 94 93 97 96 94 92 92 94 94 94 92 92 93 93 93 93 92 91 96 96 94 93 94 97 97 93 92 90100100100 95 98 96 96 97 99 99 97 96 97 86 84 87 86 92 91 93 95100 99 95 93 96 97 97 97 98 98 98 98104 98 98 98 98 98 96 97 96 96 96 96 96 96 96 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147151138147156162161160159157158999999174168164999999999999999999132126120126129130130130136138138139140139140140139139140141141140138138137135135134132132131132130129128127128128127131128129131131131130129129131133132131131130128128129127129122125125125124124124125128129130127128128133134131132132127130129130128128127129132130132132132130129130130130131132132132133132131131131131132132131131130131131131130129126125123120118118116114115116113111108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123130129125121118117116117116114112108107111111110109109109109107108107107108106102100104104105100100100105106104104107105104102103104104104105105104104103103102102101101105104103103103103102 99101100102 98100100100101101 99101101 99100 99 98101 99 98101101101101100101 99101101102101102101 98100 99 98 98 97 99 98 99100101100 99 99 98 98 98 97 92 93 96 94 96 94 94 93 94 95 97 95 94 95 93 94 95 94 90 95 94 95 94 91 92 98 98 93 94 95 89 96 96 98 98 99 97 99 98 96 96 97 97 98 98 97 98 95 95 85 89 92 92 90 92 96 99 99 95 91 92 97 97 97 98 98 98 98 98 98 91 98 97 97 97 97 97 96 96 96 96 96 96 96 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158160162161163162163999999999999999999999999999999999999999129127121127127129131133135135136139139140140139139139139140140139138138138135135133133133133134131131129128128130131129127128130130129130129128130132130130131131130130129128121121124124123123127125123123129127127126129129126127128127131135126128126129130127128129130131130130128129130130129131132130130130130131132131132132131132132132132131131131128126124122122118116117119118114114114114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122127125121119117116117119114112108114111111110111111110108107108107107106106105104104104104104105104105104104105106106104103104106105104104102102102101102103103103102101101101101104104105101 99101101 96 98 99100101101101101101102101100100101100 98 99 98 99100 99 99 97 97 96 96 97101101 96 96 99 99 97 97 98 98 99 99 98 96100 96 96 97 98 97 95 96 92 90 92 93 92 92 94 96 97 97 97 96 95 95 88 94 86 94 89 92 89 90 91 94 95 96 95 92 95 94 98 99100 98 98 95 97 96 97 96 96 95 94 96 95 93 94 91 92 93 91 96 91 95 90 96 98 94 96 96 97 97 95 97 99 98 98 98 98 98 98 97100 99 97 97 97 96 96 96 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171170163161999999999999999999999999999999999999127126129121124123125128132133134136138138139139139140139139138138137136136136135134133134132133133132131128126128133129129129129132128128132132131129129130130130130129121123123120119120120119126120122122122127127128126128127123124125125135130128126125129131130129126129130129129130129129129130130131131131129129129130129131131131131131131132131131131131128127123122119118119123124121117115114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121127125122119117116116123126106105113112112112111109103107107106107107106106105104104104105105105105104104104103104105105104102104102101100100102103103103104105106103102102102101103101104101 98 99 98 99 98 99100101103102102102101101101101100 98 98 99101 99 99100100100 98 97 97 98 98 98 97 97100 97 96 98 98 98 98 99 99 98 98 97 97 97 96 96 97 93 89 93 93 93 92 93 94 97 98 98 97 97 97 86 84 85 85 91 88 96 92 91 94 95 96 93 94 97 98 97 96 97 97 98 97 97 96 96 98 97 95 94 93 94 93 94 94 89 93 93 95 94 94 93 93 93 98100100100104 98 95 97 96 97 98104102105 98 99 97 97 96 98 97 98 96 96 96 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173169166159999999999999999999999999999999999999999125124121119120123125129131131133135138139137139139138136137137136130136137134133133133132132131131129130129127132131131125126126128131132134132129129129129128128128121121122127126117118126122121122122121122127128128128128121123123125127129128127126126131128124126128129130129130130129130130130130129129129129128128128129129130130131130130130131131130128128124123119115116120121119115114113999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128125124123124999120120119118115116117127126112112112112112111110102102108107107107107106106106106106105106105105105103104104104104103104100100 99102101100 99 99102101102102105107104103102102100102102101 96100 97 98 97 98 98100100102102102102102102101102101101 98 98 97 99101100 99100 97 98 96 97 96 97100 99 98 95 96 96 98 99100100 99 98 97 97 97 96 95 94 95 94 93 91 92 92 92 93 94 94 96 97 96 95 96 96 90 93 86 88 92 96 98 95 95 96 96 94 94 95 97 94 96 96 96 97 96 96 94 94 94 94 95 94 94 94 93 93 93 91 92 90 94 94 94 93 84 90 95 91 96 96 97 97 98101 98 99 96 97 98101 98 99 99 98 99 98 96 98 95 96 95 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155999999155169168166159154152999999999999999999999999999999999999119118118118119119119124125123125129134137139138137137135136137138139138133132133132132130131129128128129127125126126127127125125127129134133132130130129129128127127125126126126125125125117120122121121120124125127128129127120122123126123124126126127128127129124125126128128129130130131131130131132132129129130129127128129130128128130130130130130131129128129128127119114118120119118114112114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122125127126121121123125125119118115116116117118118124112112111111110110109102102108108108108108107106107107107107106106106105106106106105102102102101 99 99102101100101100100102102103105106104104102102102103 95105 94 99100 95 94 99100100 99101100102101101102102101101101100 99 99 99 99100 98 98 98 99100100101 99 99 98 95 96 97 97 98 99 99 99100 98 95 96 96 95 93 93 93 95 94 90 88 90 91 93 92 94 95 94 93 95 93 95 95 91 95 95 96 97 98 97 98 94 93 92 95 95 96 95 96 93 97 97 95 95 95 94 93 91 91 92 94 95 94 92 91 90 90 94 94 94 94 94 87 80 95 95 96 96 96 97 96 98100 98 95 95 96 96 92 93102101100 97 95 97 96 95 96 99 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153153152162164163159158148147999999999999999999999999999999999999999121120116116115116119120120123125130135136135134135135135136138138138132132135131130128131129129129128126125124125123125125124124124126132131129128126127127127126124123123126126123123116119120120120120121126126128129129123122124124122121121124126126126126124122124126125128129129130131130130128128128127127128127128128129128129128128129130130129126125125125124120117116116117115113110111999999999999999999999999999999999999999999999999999999999999999999999113122116999116115117121126125120118121123124121118117116117117118118114116112112111111110110109109108109109108108107106107107107107107107106106107106106106105103102102102101101100101101100100100101101101 99103102103104103103100 97103 98100 99 98 96 98 99102101103102102101100101101101101100100100100 98100100 99 99 99 99 97 98 99 98 99100 97 95 97 95 96 94 99 94 94 93 92 94 96 94 92 92 94 92 91 93 90 93 91 94 92 91 91 89 92999999999999999 91 96 96 95 95 95 92 92 91 98 98 95 97 98 97 97 95 95 93 94 92 93 89 88 89 92 93 94 94 95 95 93 95 94 94 94 90 89 95 96 95 95 96 96 96 96 96 98 97 97 97 97 93 92 94 93 96 96 95 90 87 97 95 92 95 96 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149147147147146146147999999999999999999999999999999999999999999116115110111114114115118123128131132133133133134134135135136136136136134134132131128129129128128127127125124122122123123122124124126129130128128127127126126126125124123123123124122122118118119119119127128129128129129124123122122122122121122125124124126124123123125125128127125126128127129127126127125125130131126126126126128129128127129129128126125124123123120118116116118115113109111114999999999999999999999999999999999999999999999999999999999999999999999999117115116117116119120119117115117120120119117117117118117118118109114112112111111111110109109109109109108108108107107107107107107107106107105106106106106105104103102101 99100100100 99 98100 99 98 98 97100103103104103102101 96 97 98102 96 95 97 99 97103101101102101100101101101100 99100100102101 97 95 96 96 96 98 97 96 96 97 99100 97 97 96 97 96 97 96 98 96 96 91 94 95 94 93 94 93 95 90 91 94 94 96 92 94 91 82 87106 95102999999999999999 91 91 94 95 93 91 91 95 97 96 93 95 99 97 98 98 99 95 91 90 90 89 88 91 91 92 94 95 95 95 96102 95 95 94 94 90 92 95 95 90 95 96 96 96 96105107 97 97 97 95 96 99 96 96 95 95 95 94 96 96 97 97100 92 91 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145144143143143144999999999999999999999999999999999999999999999117111106109112112113116120124124127131132132133134135134135135135133133133131130129128128128128126125125124122123122123124126126125130130128127126126126125123123122122123123124124123116118123124126126128127128129124124123124122121122122124128128128126125122122126125125127127128125125126124125122123127132125126126125125126127128125128128127126125124124124122118115116115116113111112112999999999999999999999999999999999999999999999999999999999999999999999112120118119120116117117117116115115116116115117116117118116117118110113112112111112111111110110109109109109109109108107108108107107107108107106106108107107106105103102100 99 98100 99 99 99 99 98 98 98 98 99100101103104 97 97 98101 99102 99 94 99100101101101102102102102103102102101100101101101 99 98 97 96 95 96 96 95 94 97 96 96 92 91 96 96 96 98100 97 97 97 96 94 93 95 96 93 92 92 87 85 91 90 95 97 90 87 91 90100 86 88 84 89 89 89 87 89 88 90 92 94 94 93 91 94 94 87 88 90 90 92 92 95 99 95 89 89 88 89 92 93 94 95 96 96 97 95 99 97 98 99 95 94 98 95 79 78 84 95 95 96 96103102106 96 96 97 83 83 94 87 95 82 95 94 94 88 96 96 93 93 86 89 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142140139139140142999999999999999999999999999999999999999999999105100103106108108109114118118119121127131132130130134134135133133131132131130128127128128128127126126125125124121124125126126125127132131131130128127125126125125124126125124123123123124124118120126127127128129129122121122123121122121122122128128129124120122124124122123126127127126123122122125128124124126123126127127125126127126125126125125125124123123123121120116112107109117112110110999999999999999999999999999999999999999999999999999999999999999999999126122119119118115116114114113115115116115114114115115115115116118113107112112112112111111111110110110110110109109109108109109108108108108109108108108108106105104103101 96 99 99100 99100100100 99 99100100100101101104104104103100 96100101101101 97102101100101103103104105104104103101101102101101 98 98 97 96 95 96 97 96 96 93 95 94 95 96 97 96 95 96 96 97 98 97 95 93 92 92 93 96 95 95 88 88 90 88 86 88 87 86 88 89 94 90 87 84 89 90 88 87 86 88 89 90 92 93 91 89 87 90 84 84 87 87 89 92 92 94 91 92 90 88 88 89 91 90 92 94 97 97 94 98 98 98 98100 99 97 98 94 80 81 81 82 95 95 96101101103 96 96 86 87 95 95 84 84 94 93 93 92 89 92 92 91 91 91 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140138138139140142999999999999999999999999999999999999999999999 90 97100106106106106111113115116119125129131130132130130133133133133132131128129126124123126127126126127127127126125125126126126126130130130129127128126128129128125124125125124123124125125117118120121123129128127121120119121121121121119120126126126119120122122121121122126125127126125124128122122125125121122125126125122123123123125124124122121121123124124123120120111108111110110109110117999999999999999999999999999999999999999999999999999999999999999999126124122120115113110110112111113114116117116115115115115116117118113108113113113112111112112111110110111111110109109109109109109110109109109108108106106105104103101101 96 99 99 99 99 99100100100100100101101102103104105104102 93 97 96101101101 99104102100100102102100100104104104103103102102 97 97 97 97 96 98 98 98 97 99 92 94 92 95 94 96 96 97 95 96 96 96 97 94 92 90 91 92 95 92 93 93 94 92 91 91 89 90 91 91 92 91 93 90 90 85 88 90 91 87 86 85 85 86 88 89 84 89 90 92 85 86 87 87 89 92 95 93 91 89 86 86 86 87 87 88 92 96 97 96 96 94 97 98 99 98 98 99 99100 84 90 86 98 99 98 96104103103105 96101115 94 94 93 93 92 92 91 91 92 94 94 89 89 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142139136137135141143999999999999999999999999999999999999999999110 89 96106112117116115113112112114117123128131131131129129133132132130130130127127127125126126124120126126126127127126125125126126127130129130123129128129129128128126125125125125125125124124117125120121123123127128128128127119119119121119125123124123118120122121118121123125126126126124121128122126125125123122120123123123122121121122123122121122123122123124124126121118112108106106108111114108999999999999999999999999999999999999999999999999999999999999999128126123120114110111109113111114116117117118118116115117118118117115111114114113112111112111111111111111112110110110110110110110111111110109109107106106105104103101100100100100 99100100 99100100 99100100101101102 98101102 92 93 96 98101 97 98100101102102101101102101102102 99100100 99103102 99 99100 99100 97 99100100 99100100 93 95 96 95 94 97 96 97 98 98 96 94 93 89 94 91 92 91 92 91 93 88 89 92 94 89 90 91 92 91 91 90 94 92 83 87 89 89 84 85 88 88999 88 87 89 91 92 87 94 94 87 86 88 90 89 90 86 84 84 84 82 86 85 89 91 92 94 94 99 99 99 99 99100101 99 99100 82 84 99101 96 95104103103103101101 99 94 93 93 92 98 91 90 90 92 89 88 88 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140138135133141999999999999999999999999999999999999999999108 96 95101111118122122121119116112114116121128130130132128132132132130129126128127126127125125126123119124124125125126126125122122123124124125128124125123124128128128124125125124126124124125124119120119121122122122130131131122119118116119124125123124122119119121120118120122124121122124122124123120119120122123123114127122123123120120122123120120122123124121121121120118116114111105105102105108108999999999999999999999999999999999999999999999999999999999999999114123122117112109109107112112112115117116117118113116117119120117114111115113114109110114114113113112112112112111111110110110110111111111109109108107106105105104102100100100100100100 99100101100100100100101100 96101102 98 97 95 97102100 96100102 99100100 99 92104101102102102100 99 99 97101101100100 99 99 97 96 98 98 98 98 99 92 98 97 95 96 94 95 96 96 96 95 95 93 92 94 95 94 94 94 92 92 92 93 91 87 86 87 87 86 87 89 91 92 93 90 89 87 83 84 82 88 84 85 86 85 88 91 88 89 94 92 87 84 90 91 88 88 86 81 86 87 84 83 88 89 95 88 91 92 92 97 98 99 99 98 99 99 98 99 98 98100102103110100101101 98 94101 96 97101100100 91 82 79 89 88 87 87 86 86 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141140137139999999999999999999999999999999999999999999106 94 97105114120124126125122118115113113120127130130130128131130130128127125123124123125124123123119125124123124124125125126123121121124124124124125125124125128127127124124123123123123122122118118120121120121122121127128128126125116116118123123124124118118119119120119120119125126125124118122122124120119121128124125115116116117118122121120122121122121121120120117115115111110112110106102102103105105999999999999999999999999999999999999999999999999999999999999124123120116111109108107110107109113116116116117114113113120119118115114112110115111111114114114113113113112111111111111110110110110110107105109109108106106105103102101100 99101100100100101100101100101101101100 98103100103 99102 99101103 94 96101102102101103 92101102102103102101101 98 98 98 93100 99 90 98 98 96 96 97 97 98 98 98 99100 95 91 92 93 94 95 98 97 97 96 95 95 96 95 95 91 90 90 89 90 89 86 85 86 86 84 88 87 89 88 92 91 89 88 86 83 82 81 83 83 85 87 87 91 86 83 91 91 91 90 86 87 85 88 85 82 86 85 89 87 88 83 81 81 82 81 80 86 92 94 94 96 96 97 97 96 98 99 97 99 99102102 99100 99 95 94 94 93 97 98100 99 81 96 88 77 86 85 82 82 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142145999999999999999999999999999999999999999999106 97 99106115116119122121119115112111111117124127128128129129128127126126124123124123122121125125124124125125125125126127126125124123121123124125123122124124129126124123123122121122122121120117118120120118121125125125122117115115115117116123124124123118118118119119118119119125122123122123121121120122115117118123123115112113113115120120120120119120120120120119117115115113111107108103104102101103104999999999999999999999999999999999999999999999999999999123123124122116114111111111112110109110113115113114114115115115115121120116117115113109112111112113114114114114113112111111110112111111110110107109109110109107107105104103102101101101100100100101100100100101101102 98 98 99102101 97100102101102103 98 98104103103103103102103103102102103101101100100101101 99 97 97 98 98 98 98 97 97 98 99 98100100 91 92 91 93 94 98 98 97 96 94 94 94 95 94 93 90 91 89 86 90 87 86 89 92 91 88 90 89 89 92 88 88 89 88 85 84 85 84 88 86 88 89 90 91 89 90 89 89 89 90 86 85 83 82 85 86 88 89 88 87 83 82 74 77 76 75 76 82 90 92 94 95 96 96 96 96 90 95 94 88 97 98101101 94 92 93 94 97 98 88 94 80 76 90 79 78 72 84 83 81 79 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152148149999999999999999999999999999999999999999999999108102100107112113114117116117113110110111116122126126127127127127126124124125126124123123121122123124125126124125126127127127126125125124124123122123122130123128126125123122122122122122122121117117119119123121116120120120115113113111117114121123123123118118118117117118118125124121120120119119120116114121117118119117113111111111111115117118116117117118119118117115114113112111107105106103100101103102999999999999999999999999999999999999999999999999999999124124122116113112113112110111112113113113113114114114114115115116118123117115116114111112112113112114114114114114113113113112112112110110110111110111110109108108105104104104103101101101101102102101101101101101102103103103100101100104100100100102 98 99 98 99100102100101100101101100101100100 98100101101 99 97 98 99 99 99 99 96 95 95 97100100 99 94 95 99 98 98 98 96 96 93 94 94 94 95 95 95 92 92 88 90 89 89 90 88 86 86 84 87 88 91 93 89 87 87 87 86 85 88 92 89 88 88 88 87 88 90 89 89 87 88 89 88 86 87 87 86 86 88 88 87 87 86 88 82 78 76 75 77 81 81 83 90 92 93 91 90 78 80 90 86 90 96 95 95 76 90 90103 86 89 91 91 88 86 84 79 78 85 84 80 78 80 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152154151999999999999999999999999999999999999999999111105102105111113112113114113111109110114117120123124125125125126124123124124124124122120119119121124124124125126127127126125125124123124125124123123123128127127117126125123123123122122121121119118121120119115116121121115115113111112111115118120123123116117117116115116116117118118119119117117118114113114118118114110110108107108108111112113111114115115116114114112112111109106105104100102 99 99104101999999999999999999999999999999999999999999999999999122124121116114113114111111112113114113114114114115115115117115117117119123114115114114114112113113112114113113115115109108113113113112107110110110110110109109109108104102103104103103102102102102102102102101101101101102102102101102100102100 98 97 96 99101100100100101101 95 99 99 96 97101 98 99 98100101101 99100 99 99 98 99 99 96 96 97 98 99 99 99 97 99 99 99 99 98 95 93 93 92 93 90 93 93 93 90 91 89 85 87 90 89 88 88 88 90 89 90 91 90 88 88 87 88 86 86 89 89 88 86 87 86 86 86 88 87 88 87 85 89 87 89 89 86 86 85 86 85 85 83 84 81 80 79 77 76 76 81 82 84 86 87 87 81 78 87999 88 86 83 83 79 81 87 69 87 87 87 93 94 99 93 91 86 80 78 84999999 82 81 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154154155161161999999999999999999999999999999999999999999999105104105109113114112108107107108110114116119121121122123123123123123123123122121120119119116117123124124124125126126126125125125122122124124124123124122122126126127125123122122123122121122120119119118117118121121121115114119114114113116118119123123117116116115113115113114117116116117115116116120113112111110116108107105105106109111110108106110109110108108110111110109108105101 98100 98100101 96100999999999999999999999999999999999999999999999999122122123118115114113111112113113113115116117115116115115114119117117118120121116114114114114116113113113114115115114113109110113113113110110110110110110110109110109106104104104104104103102102102102103103102102101101103 99101102102 99 99 99102 99 99100 99101101102101101102100100 99 97 97 97 97 97 97100102 99101100 99100 99 99 99100 98 98101100100 99 97 98 98 98 98 97 97 96 95 95 93 92 92 92 94 94 88 89 92 85 88 89 90 89 87 89 88 87 91 91 87 86 86 88 88 88 89 86 85 85 85 86 87 86 84 84 85 85 90 90 84 82 81 82 80 81 81 79 79 80 83 83 81 82 84 85 82 82 82 82 84 85 75 73 72 76 74 80 80 80 82 76 82 84 73 81 79 76 83 93 97 93 94 92 80 80 80 77 80 87 85 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163160161161163162160999999999999999999999999999999999999999999999104104107111111109105105107106109112114116119120122121119119120122122119118117119117119116116123123122123124125126126125124124124124124124124124124123124122119126114113121121121121120121120118118117115117114121115114113113114113115121122120122115114115116116115112111119119118115115115114115115116109109108107108105101103105106106104101100101103104104106104107109106107104100 98 95 95 99 99 93 98999999999999999999999999999999999999999999999119120121119117116114111111112112113115116117119119118117116115116117118120122123121116114114116116116113113115115114111110110113111111112112108107111112111110110109106105105105105105104104104104104103103103103102102101102101101102 97102101101101 99 99 95100 99101101100100100 99 99 97 96 95 97 97 97 98 99 97 99 99 99100 98 99 98 98101102100101100100100 98 99 96 96 97 97 96 96 94 94 94 92 91 91 94 94 94 93 94 89 89 87 89 90 89 90 88 88 91 91 84 84 85 86 88 90 88 86 85 86 84 84 85 83 84 84 85 84 95 90 89 88 83 83 85 87 87 82 81 80 80 82 86 85 86 86 85 84 83 84 84 83 82 74 75 76 77 78 79 79 83 80 76 78 80 76 79 80 87 84 87 93 94 92 86 84 82 75 76 84 86 77 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164158162164163164163163161999999999999999999999999999999999999999999112107101102107104105104106105106109113115115116117119119119120121123122120118120119119120121119123123123124124126127127126125124123123124124125125125125125124126123116114113122121121120121120119120118117117112114113113112114112114111110121121121113114116115116116114112113111115117117116116115113113114113106106106104 99100103103102101 99 98100101 99101102 99 99101104106104101 97 94 94100 96 92 98999999999999999999999999999999999999999999116117118114109111113113111112113114115117117120121122123117117117117118121121124123122117114115114114112112112115115114108109110110110112112108107111112111110110109107105105106106105105104104104104103103103102102 93 94 98 96 95101103 98100100 99101101 96 95 98 99100100 97 99 98 97 97 98 94 98 97 98 98 98 98 98 98 98 99100 99 94 93 99101102100100101100 98 96 99 97 95 96 97 96 97 93 93 95 94 92 88 97 95 95 92 94 94 92 89 86 87 88 91 88 89 90 92 88 88 88 86 88 89 87 86 85 83 83 82 83 83 81 81 81 82 82 83 82 87 86 83 85 86 83 81 80 81 84 83 85 86 83 83 83 83 80 83 85 84 84 79 78 84 83 80 86 82 81 81 77 78 80 77 76 77 82 84 84 86 88 88 87 87 86 84 82 77 78 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162163166168168165162163167999999999999999999999999999999999999999114108 99 98102101102104106105106109113116116116118119119119120121123123121122121118118119119122122122124123124126126126126125124124124125126126126125125125124124127122125114113113112119119118118118120120112113113114114112119110111112119118112112113120114115114114114114114111115115114113114112111111108113107104104102 99 97101102100 98 97 98101101105105100101102100100100100101 99 98 98 97 98 96101999999999999999999999999999999999999113110111110110111109111112113113112113114116119118119121121121118116116117117119122123128121118115114113112112111114114114113113110109109109112111108107111111111110109108106104105105105104104103104104103103103102102103 93 95 95 97101100100 98100 98100102 99 99 94 98100100100100100100 96 98101102101100 97 99 99 99 99 98 99 99 99101100100100 99101100100 99100100 95 97 97 97 96 96 96 96 95 92 92 94 95 87 92 95 93 94 92 93 93 89 87 85 90 89 84 88 87 91 89 89 87 86 88 87 86 88 88 84 83 83 85 86 84 85 86 83 81 80 79 84 83 82 84 84 83 83 81 82 83 88 83 84 84 84 83 87 87 86 86 84 83 83 85 86 86 87 82 81 82 82 79 81 84 80 77 76 81 80 79 83 77 79 87 84 82 82 79 76 77 75 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164167166166169171168167166167164161167999999999999999999999999999999999999999999 95 97 99100104104104104109113115118119118119120119120121120120123123122119117113115122122122122122124126125126125125126126126127127125124124124124124125127124124123116113112120120119119118117117110112112111111110110111111109110111111110112114114115113114112113112110114113112112111110110109108107105105100 98 97 97102101 97 97 95 98 99 99103105104 96 93 91 94 94 94 96 96 94 94 96 95 94 93999999999999999999999999999999112112113111110105106106108110111113113114114114116117119118119119121119116116115116119120127127121114114114113111111110113111112111112106107109111111111111110110110109109107107106104104103102102102102104102103103102102103102101101 96 98100 99 99 98101100100 99100 99 98 99102103101101101101101100100101101102100100100 98 99 98 98 98 99 99101101101100101100 99 98 96101 97 98 93 95 97 96 95 96 95 95 94 96 93 94 93 92 93 92 92 95 92 87 85 85 83 84 84 85 89 94 89 89 90 86 88 88 88 89 89 87 86 85 87 88 89 89 90 90 86 85 81 81 80 82 82 82 83 82 80 80 83 91 90 82 82 81 85 89 89 86 87 88 83 83 90 86 88 87 83 82 82 81 77 80 81 79 79 80 80 79 78 78 77 80 80 80 73 73 72 72 74 73 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167168167168169167169171171166164166999999999999999999999999999999999999999104 91 96 99100103104101 98 99103111115117118118119119119119118118121123121121116110111115123121121122122121122123125125126126126125124122121121123125125125125127125123122121120120120119119118116110119118110116115117109110110110110108109110111111113113113112111111111110110112111109112109109107107104105101 96 96 96 96100 98 95 94 92 92 91 90 95 96 90 88 91 90 89 89 90 92 93 92 93 97 95 96 96999999999999999999999999999107110110112112111108104105109108112113115115116115117118117117119118117118115116114116118119121126119115114114112112112111111112113114113111107108113112111110104107108109106108106106103102101100101101103103103104103102103103102101101100101101100102100 99100100 99100100102101100101101101100100100100100 99 98 99100 99 93 92 97 98 98 98 99 99 99100101100100 98 99 98 95 98 96 97 98 96 92 96 97 96 96 95 94 96 89 88 88 92 92 92 92 92 94 89 85 90 87 87 87 89 88 90 88 88 88 88 90 94 87 90 89 90 86 84 87 89 89 88 88 87 87 85 84 81 81 78 82 82 81 81 80 81 88 90 91 89 86 85 88 88 88 87 87 84 86 88 89 87 85 83 80 80 81 80 77 81 81 78 74 80 75 76 76 77 76 79 81 82 70 72 69 68 68 68 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164167167169171167166167169170171170170167166999999999999999999999999999999999999999 91 92 96 98101100 99 97 96 95 99106111115117117117119117115118119121120119114111112116121122118123119122122124124124125122124125121122122122123123121122125124124124122119121122120119118118118111111118118116116116116108109109110110109109110110114113112112110111110109108108109109108112110107107102100 95 92 93 94 99 98 95 94 93 92 91 89 88 91 90 86 86 90 86 84 87 89 89 90 93 96 97 94 92 93 93999999999999999999999107109109111111111112114110110110110114114114115112115117118116117118117117116114114115115116118120119117116116114113114112111111113112112107113112112112112112113111105108107106105105103103103101 98101102101104104103102101103102100100101100101101101102100100100100100101 98101102100101100100100100100100100100100 99 99 99 99 99 99 98 97 98 99100 99 99100101100100 98 97 97100 98 97 98 97 95 95 96 97 97 95 96 95 91 91 93 92 93 92 96 93 96 90 86 98 86 87 87 87 90 91 87 87 88 91 90 87 90 91 90 89 83 85 89 89 83 82 88 88 89 85 84 83 83 82 81 80 79 79 81 84 87 90 90 83 80 84 87 85 88 86 87 86 88 88 91 92 81 80 81 86 86 85 79 79 80 81 80 77 77 76 77 76 76 76 76 73 68 71 77 77 76 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166162166166166165164162163162166168169170169167999999999999999999999999999999999999999999 91 95 98 99 98 98 98 96 96 96101108111112113115116116116117118119120119123112112114120121119122118123123122121122122121122121121123123123123122120121123123122124123121120120124125122120119111111116117118118118119109104105109109109110110110114112110111111110109109108107105108106107107107109100 96 93 92 97 99 98 98 95 94 92 92 92 90 90 92 86 86 86 88 84 83 84 87 91 92 91 93 95 92 92 97 95 95999999999999106104106108109112109111112114112109110111114115117117117115117117116117118118117115114114114117116118119117117115116114111111113112112112113112111111111112112112110112111111107105104103101101102101101 98100101 97100105103102101101100 97 98102 95101101 99 99 99100 98 97 96 97 95100100102101100103105103102102103102100 96100100100 99 98 99 99100 99 99 98 99 99100100100 99 96 95 99 97 98 97 96 98 93 96 97 95 97 93 94 94 90 93 90 91 92 89100 90 87 87 89 86 87 87 87 85 88 89 88 90 95 95 91 93 92 92 91 91 88 88 86 85 88 82 89 88 88 89 88 87 88 81 83 85 85 85 88 80 89 91 81 78 78 82 81 83 85 82 87 87 88 91 91 85 92 97 95 84 84 81 82 87 86 80 76 77 77 77 77 76 76 76 76 69 76 80 76 76 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166163164156162165165164163163166168169170171168161999999999999999999999999999999999999999 93 95 98 97 96 97 96 94 93 93 98105107109110112113117117117118118117122123118112112116122121122122122122121120121117118121123123122122123125123121122127123121123125120119120122123121121123117113111113119119118118115105104105105107109109111111111110109110111110109108107106109108108108108107 99 99 98 99 98 99100 98 96 95 93 93 91 90 91 89 87 87 85 81 88 89 88 88 87 88 84 96 93 94 94 93101 98 89999104104106104103108110110104105111114112112110110112114117117117113115115115115117116115115115115115115115117118117116116116116112113114113114115115115112112111112111111109111110109107108101104104101101100101 98101100100101102101 99103101100102101 99 94101101 98 99 98 98 95101100100100 99100100101101102104102103102102101100 98 99 97 94 97 99100 99100100 99101 98 99 99 99 99 99 99 97 98 97 98 96 96 96 92 95 96 96 97 96 97 92 90 98100 89102101 91 90104103 90 88 87 86 87 87 92 96 88 88 91 92 91 93 93 91 93 93 90 89 91 92 91 90 91 90 91 89 90 92 85 85 83 88 79 82 85 87 79 90 87 83 80 83 83 84 87 85 83 89 90 85 89 94 95 96 97 85 96 98 95 82 88 80 76 77 78 78 77 80 72 77 76 73 72 74 73 76 76 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160166164164162165167168167169169170169171175174999999999999999999999999999999999999999999 92 93 96 96 96 95 96 96 94 90 95100101102105108110115115115115116116120119115110111116119121118117118122121121120121121122122121122125124124121121123122122123125123119120120116116117118117118116115114118118117114107106105102102105107109111110110109109109110110110109108104107108108108108107101 98 97 97 94 95 98 94 93 88 91 92 90 88 87 87 85 86 82 81 84 82 84 78 85 85 84 92 90 94 90 85 84 91 91 90 97 93 97 96 99105107107108101102109109112114113113114116115115115115114115116117116116116115116114115114117121117116115115117114112113112113113113114111111110110110110109110110109108107102101101101100100 98 98100 98 99 99 99 99 97103102102102102103102102101101101102104101101101100100100100101101101101102102105101100100 99 99 99 99 97 97 99 99 99 98 99102103100 98 99 99 99 98 98 97 97 96 97 93101 97 96 97 94 92 95 97 95 93 97 98 98100 95 95 94 91 90 88 88 90 88 87 89 88 90 96 94 90 90 92 88 94 93 94 93 95 94 89 90 91 92 93 95 95 92 94 95 94 94 96 95 93 90 90 86 88 90 89 89 89 87 85 84 88 88 89 89 87 85 83 97 99 91 94 95 97 97 99 96 83 91 86 82 78 77 77 72 73 84 84 78 78 81 81 82 78 78 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164162163161160164168168172174171170171169172174999999999999999999999999999999999999999999999100 91 93 94 97 96 95 94 92 87 88 93 95 96 99102109112113113113113115114115111109110116122123117118119121121121121120122121121121121125126125123121121122123122123123120120116114113114115116115116116115114116115112106108107106106106108110110109107107108109110110108107107108102102109110108106 98 95 99 96 95 95 95 98 96 89 87 87 83 76 80 80 83 83 81 81 85 85999 86 84 85 86 92 83 91 91 93 85 80 86 96 90 86 90 86 95104107107103108 94 97105107109109111114119114115115115118117116116116117115115115114114114115118115115116114115115114113111112114112113111111110109108107107108108109108108108108103101101100102101102 96 95100102102102103103103102102103 99 99 99102102102105103103102101101101102102102102101101103102101100100 98100 95 96 98 98 98 98 98 98 99101101 99 99 99 99 98 98 98 96 95 96 93 90 98 97 97 97 97 96 95 97 97 98 99 97 99102102 96 89 90 92 91 89 92 93 87 94 89 93 93100 89 90 91 91 96 95 94 96 96 97 90 90 91 93 94 95 96 96 96 96 96 95 96 96 95 95 94 94 94 92 93 94 95 91 88 87 89 90 92 87 87 84 84 91 92 92 92 99 98 95 95 95 94 93 92 88 84 81 79 78 79 80 81 81 86 81 80 81 85 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161163162162164166171172174175172171170169172175999999999999999999999999999999999999999999999999 92 92 96 98 96 96 96 92 90 88 90 91 92 94 99105111114113113112113114113111109111119122123122120121120119121122122122122122122124123124124123122124122123121120123120115114114113113113115115116117116116115112109111110110109110109109109108109109107108107110109107106105101101101109108107105 96 96 97 98 96 93 95 98 99 96 90 90 88 84 80 77 76 78 79 80 85 85 87 87 84 90 91 88 88999999999 82 87 89 89 89 87 88 89101103104106100104102 97100101105107106112112113115116119117119116116116116115114114114114112114113114114116113114112113112112112111110111113114111110109109108110110107106107108109108103103102101102102101101100101100101 95 94 95102102102103100105103101102101100103103 98 97103102102100101101102104103102 99 98 98 97 97 97 99101101100 99 99 99 97101100102102 99 98 96 96 93 93 95 98 98 98 98 96 96100 98 95 97 98 99100101100103100101 89 90 91 92 93 90 89 90 95 93 92 93 96 92 92 91 92 93 94 95 94 96 94 94 91 92 93 95 95 95 95 96 95 94 96 96 96 95 95 95 95 96 97 95 96 94101 93 93 94 95 94 91 91 93 94 96 95 95 96100 99 98 99 99 97 96 95 94 94 88 84 78 80 87 85 88 85 82 84 85 86 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164163165166171167169169169169168170171171175999999999999999999999999999999999999999999999999105 98 98101101101102 98 95 92 90 90 91 97101105110113112111112111112110108108110116123123120119120121122122123121123123128124129124123124123123126128128122125122119114113114113113114114115116114116117116115110109109109109110109109109108108109108108108108108107105103107109110109 98 97103 95 94 95 98 96 93 93 91 95 98 96 94 92 91 83 79 80 79 80 81 86 88 88 85 84 98999999 91 91999 96 94 91 92 88 85 84 86 87 91 97100104103102104104 99 99103105106113114113114114117117114116114116116115114115115115114114112114112114113112112112112111114114114113112112109110110111110109108108108105107105104104104102103103102102101102101101102 97 94 94101101101104104104104100 94102 97 99 99 99 97100101101102102100101102101 99 98 97 97 95 99 97 98 96102101 99 99 99100 99 99101101 96 96 96 96 92 91 95 95 96 96 96 96 99 99 99 97 97 97 99 99 99101101100 99 98 96 96 90 90 93 94 95 97 93 92 94 95 89 89 89 91 91 94 95 96 94 96 97 95 97 96 96 96 96 94 96 96 96 97 97 97 96 96 96 96 96 96 96 97 96 97 97 98 98 95 94 94 92 92 93 91 95 98 99 96 96 98 99 95 95 95 91 89 97 95 92 90 91 89 90 92 93 85 84 90 90 82 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164162161161170171171171170166166168170171171169165999999999999999999999999999999999999999999999999105103101104106105104104101 97 93 93 94 97 99 99105107108107114110111111107108109115121122120119121123120120120121120124130124131133132126125125132126128122121119116115115116116111112112112113113112115115116113110110110109110110110109107106107106108109106105104101105107108107104102 96 94 93 92 95 94 94 93 92 91 93 95 96 94 88 92 88 82 81 78 80 81 85 84 84 82 82999999999 92 85 95 83 98 97 97 86 86 89 90 91 88 92 96104105107104106106101108101104112112111112114118117117117115116117116116116115115115112111112114114114112112111112111112114114113115111111111110109110109108105105104104104100103103102103102102102103102101102102102103102102103 97103104104104100 94 96 96 98101101 97 93101101102102102101101 99 99 98 97 96 98 98 98 99 96 94100 95 95 99100 99101101101100 99 97100 94 94 94 94 96 96 98 93 97 97 98 98 97 97 98 97 97 97 99 98 96 96 97 96 92 93 91 95 95 98 92 92 93 94 94 94 96 89 97 96 95 93 95 98 98 98 97 97 97 97 96 96 97 97 97 99 99 99 99 98 97 98 97 97 96 96 96 96 97 97 97 98 98 97 94 98 98 98 99 98 97 97 96 98 95100 97 92 93 98 96 97 95 95 96 97 94 95 95 94 90 92 85 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161164167169170169169165162166166168168168168173999999999999999999999999999999999999999999999999113106104106107106103103102 99 98 98 99 99 99 99100105107108108109110107107110111116122122121122123121121121122124125125128127126133132125124124123126125122120119115114115114114113111109110110110108110113115112109110110109109109109107104104106106105106105104102100105105104104101100101 91 92 91 93 93100 91 90 89 94 94 93 93 86 86 86 89 85 81 82 81 81 81 78 79 80999999103 99 99 96 94 99100 94 83 83 86 90 92 90 94 98104105105105103101102 98 99103111111111113114116118117118117116117117117116116115114114114112113114114111111111112112112113113114116113110110109109109108107104105108105106105104103102102103102103103103102101102102101102102 93 97101 99102102100101 97 98 97100100 99 96101101102102 93 96 99 99 98 97 97 96 96 95 96 97 96 95101 95 96100100100102102100100 99 98101101 99 94 93 94 92 95 93 96 96 97 98 96 96 96 96 96 97 98100 98 96 95 95 96 96 96 94 90 93 93 93 92 93 97 95100 97103 95100 98 97 99 99 98 99 98 97 98 97 97 97 96 97 97 98100100100 99 99 98 99 98 96 96 99 96 96 97 96 98 97 96 98100100100 99101102102 99103102 99 96 97 98 97 98 97 97 96 96 96 95 98 99 98 94 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161162165164168167166164163163163168169169169172162999999999999999999999999999999999999999999999999110107104106105 99 99101100100100100 99 99100101104104106106107108107108111112119114120120122123122122123125125126127128127133132131124126124122124122119116116113112113113112110110110111111109109108108109110106107108107106108108105103104104104104107102102100102 97102 99100 99 99 91 89 88 88 90 92 92 91 89 86 89 91 89 89 87 84 83 80 78 81 77 77 80 81 78999999999999104105103 96 98 99 97 92 92 88 87 86 89 92 95 96101104103101 99102109104101107111114113113114114116117117117116117117118117116116115113115113114114113111111111112113113112112110112110110108109108108106106104105102106106106106104103102102101102102103103102102102101102102105 99 98 98102101101101102101 97 99100103102101101101 97100 98 99100 99 97 99100 97 94 96 96 95 96 98 98 98104101 99 98 98100 95 95 98101 99 99 98100 97 98 99 96 97 97 96 98 98 98 96 96 97 97 97 98 99100 97 99 97 96 97 96 96 96 97 92 93 93 94 96 99 97103100 99100 88100100100 99 99 99 99 97 98 98 98 99 99 99 99 98 99100 99 99 99 99 99 99 99 95 96 96 96 93 96 96 99100101101101100101 99100100101100 96101 98 98 98 97 97 96 97 97 98 98 98 98 96 96 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162165166166164163161162163163164169168169172161999999999999999999999999999999999999999999999999116105103102101 96 94 95 98101100100 99 99 99100104103103105108108107108111111116113117118120121122121123125127128130129126134135127126125135134119121119117117112111112110110109107107108108105105106104104105102103104104106105103103101102103103102101102101 99100 95100 95 95 90 92 96 87 88 87 90 92 92 91 91 85 84 85 84 85 82 79 79 75 74 78 77999999999999999999999102105103102100 96 93 95 95 97 97 95 92 99 97 94 96 99101102 93 97101105106104106110111111109108110113114115116118118117118118116116115114114114114115114110110111112113112112112111111115110108108108109107107103104105104105105105106105105103102101102102103103102102101101101103102102 97103102101100100100 99 96 99100100101101102 96100 98101101 98 97 99 99 96 93 96 97 97 95 95102101110108 98101101100 96100100 99100 99 99 98 97 96 96 96 95 96 96 97 98 98 97 96 96 95 92 94 99 94 93 98 97 99 98 97 96 96 96 95 94 95 95 95 98102 95 96 98 99 99101101 99101100101101101100100 98 99100100105104100105 99100100100100100 99 98 95 99 91 97 94 96 98 98 99103104102103101101100 99 99 99 99 99100 99 98 98 96 99 98 96100 99 98101 97100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162160164164164162162161162163164167168170174163999999999999999999999999999999999999999999999999999103100103 99 91 91 93 96 99100100101100100101103104104104107108108109112111115116117117118121122122124123125129129129125125126125124133133121120119118119115113112111108110108106107108110111109108107106106102104104105104105103103104104104104102102100 98105102100 98 98 97 89 90 90 89 89 90 90 91 93 90 91 85 79 80 84 77 76 76 76 72 76 79 75 82999999999100 96 95 93102103103104102100 99 97 94 96 97101107113115111 99102102 97 98 98 99104107109108109109106108109108111111112115116116116117115115114113113115113113113110110113114113113114111112111110111109108108104103106106102100103103103106104105104102101104103102104103103102102101101101101100 99 99102103101101 97 98 99101 95 99101100 98 98 99100 99 95 94 98101100 91 94 94 98 98 96 94101103108105102101105 98100102102101105103100 99 98 97 95 96 95 96 97 95 95 95 95 94 95 94 92 91 90 95 96 97 97 98 97 97 98 97 97 95 94 94 94 97 99100 97 99 99109116116101100101102102101101100100 97 97101101109108109108105 98 99100 99 98 98 98 99101 97 98 99100 98 94 99100100104104100101101101103100 99 99 99 99 97 99 98 98101100101101101101 98101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159158163161162163161161163166168169167169175175999999999999999999999999999999999999999999999999999110 99100 98 91 91 93 94 97100101103104104101105106105104107108108111111110112117117118119121123123125127129129126124125123125133133127120119124114114114114114115114111111110108108108111109108107107104102101101103104104103103100102102103102100100100 99 95 94 94 98 91 89 89 86 87 87 88 85 86 88 90 88 89 84 81 80 82 80 78 78 77 68 77 82 79 87999 99100100 97 94 93 92103104108106106104101 98 98 99104106111116113116111102102103102103102103103104105106107108109111111111111112112111112113114114113111112113114114113113111111114113113112111112112110111109108107106106107107104105104103103100102102103104104104104104105103102102102102101101103103 98103102101102102 94 99102100 95 95 99101 97 99 98 96 99 95 94 95 97 95 96 92 95 98 98 95101101109104103104102102100 99100102101106104103101 99100 99 98 97 96 96 96 96 95 93 93 93 93 90 90 93 94 95 96 97 97 97 96 98 98 96 94 94 95 98 98 99 96 96 97114107116101109 97100101101101101101100 99 98 99110110110110 98 96 96 99 99 99 96 95 99 98 99 98 97100 97 98 92 98 98100100 99 99 99100100101100 99 99 99 98 98 98 96 98100 99101100 99101100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160157161160160161160158159162167168167168171169165999999999999999999999999999999999999999999999999999999103103100 94 91 89 92 97101107109110113113110110109107108110113112112113115118120121122124127128130130129126124122132133125135136130130118121114114114114117117116113112111110110108110110112112109112110107 99100105105102101100104103101100102103101 98 92 94 91 88 88 91 89 91 90 90 89 90 91 88 91 92 91 88 84 89 80 80 79 84 85 69 76 79 82 87 95 99100101 99 97102 91 97103105101102104100 95 95 99103103106109109110111107103105105105106107107106107107108107106106108110113114115113110110112113112111112112113114114113112111111112111112111112111109113110108106108108107102103104104102103 99101104104101100103104104104103103103103106103102 97 98 95 97101102100102 97101100 97 96 96 95 96 98 97 92 90 96 97 98 98 96 90 91 91 95 99 97 97 98106106105 98103103102102101100103107109108 94105103104103100 98 98 97 98 92 92 92 94 84 85 89 93 93 94 94 95 95 95 96 97 97 98 98 94 95 95 99 99102100 99 97 98 98100 99 99 94 96101102 99101100101100100109107108109103 96 97 98 98100100 99 97 96 97 97 97 97 94 92 92 97 99 98 97 99 98 99 99100100101100100100 99 99100101100 99100 99100100101 99 98100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159158159159158161158156160164165166166166167168172999999999999999999999999999999999999999999999999999999999104103 97 92 88 87 93 96102106108111113111110108110108108111109111110116119121118124126128130135134126123121121130129127128128126122116116114114114114113115115114113112111109110110109108108110104102103101 98 97 99101 99 99 98 98100 99102101 98 95 92 91 89 89 88 87 88 89 90 89 93 94 92 86 87 85 82 84 86 79 76 83 81 78 81 75 71 70 75 80 94 92 94 97 95 95 97 93 96 99 96 96101103100100 98 97100101105106110114111111110106105106105105104102102103105106106106105108112110110112110109110112112110113112113114112113112110112111111112111111110110109111108108108103107101103105105105104105106104105101101104105104104104104103104104103101102101102101100102102 97101 99 99 99 95 97 95 96 94 97 98 95 95 97 96 95102 95 96 95 96 98 97 98 98 98103 98 98104103102102101102107107107 92 91106105103103103103100 99 97 92 89 96 96 94 94 93 93 94 94 94 95 96 97 96 96 97 98 98 98 98 94 94 95100100 99101102100101100100 95102102100100 99111111107 99 99100 99106 97 97 98 99 99100 99 98 98 98 98 97 98 97 97 94 92 98 98 99 99100 98101101100101101100100 99100 97 97 99 99101101100100101100 99 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159158158158160159158158160162161169168170169169169999999999999999999999999999999999999999999999999999999999102101 99 92 89 95 91 97102106110111113112110109112113113114112116118116122126123122131128130135135133132130124132133127127124124115116116114115115115114114113113111110109109108106107107106106106100100100 96 97100 98 97 98 98 98 99 99100100101 99 96 90 90 88 88 88 89 92 92 90 91 91 90 88 85 80 81 81 74 70 71999 74 74 75 73 77 75 78 74 85 86 88 89 89 86 90 90 95 96 92 93 96102102 99100 98 99 99101108114116114111110107106104103101 96 92 98 98 98101103105104106108107109111108108109111109110111112112114112111112112111110110111111114110110110113112109110109107108107106106105105104104104105102102103104104103105101104104104104 97103102 99101100 98 99100 99 99 97 95 93 96 92 95 95 97 97 96 95 98 96 95 96 95 96 96 97 99 97 96 96 98 96 96 95102102100100102103108108 93 92 91 94103103102103101 99 98 99 99 98 98 95 96 96 95 95 95 94 94 93 94 96 95 96 96 96 97 99 96 89 91 99 99100 99100101100100101102101103105102103 97110111 98 99 99 98 98 98 98 98 99 99 99 99 99 99 99 98 98 98 98 98 92 98 98 98 98 98 99 99 99 99100100100 99 98 98 98 98 96 98 98 98100101101101100102 99100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158155157159158159160156159162165167173174175169170999999999999999999999999999999999999999999999999999999999999 98 98 89 90 93 96 98101106110109110112111110112114116115115117121122125130127127129129134134133135135134134134132129122127129115114116113118117113113114113111113113113114110110110109107102101 99 98103101101 98 97 95 99100 99100 99 99 99100 99 98 97 94 91 87 89 92 96 93 93 94 92 89 87 84 85 81 79 73 70 69 75 72 69 67 73 73 74 75 75 76 78 78 85 86 82 81 83 90 92 94 93 96 99102 99100100 98 97102110112112111111108107107103100 97 94 95 95 95 96 97100102102103105108105108105107108109107109110112112111111111115113112109105109110110108107111111111109106106107107107106106106106105106106106107107107105104101102100103 93105103 99103101100 95 98 97 97 98 99 96 94 97 94 93 96 95 96 93 94 93 95 98 98 95 94 94 95 98 98 95 96 96 95 96105109 95100100 99101102102107105 94 96 96104 94 93 91102102102101101102102100100101100 98 87 97 96 96 97 97 96 95 95 95 95 95 97 98 89 90 98 92 91100 99105104101101102114116114112100112112100 99100100 98 97 97 97 97 98 99 97 97 98 97 98 98 99 98 98 97 97 98 98 96 97 96 97 96 97 97 99 99 98 98 99 98 98 99 99105101100103102102102103103102102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158155156156159159157159161165168170171173174171165999999999999999999999999999999999999999999999999999999999999 95 94 91 94 93 98103103107106107107108107111112113115115114118124125125128123127130134133133134136135136136133130129125125126117117117117117118117115113113113115116117116111111110106109104104102103105102 97 96 94 94 98 99 98 94 96 98 99100 99 98 96 98 94 92 91 90 91 90 90 95 89 85 80 80 81 79 80 77 69 68 73 72 76 75999 66 62 75 77 79 73 73 78 80 81 81 84 85 85 87 90 90 95 99 99101101 98 99106110108110109110107105107102 98 89 88 87 89 92 94 98 99100100103103104104108104105106106106105108110110110109108112112108105105106106109109106109109110109106106105107106106105107107106106100101107107108108105102101102 98101 99104 98 96100100 98 96 98 95100100101101103 96 96 93 94 96 95 94 93 93 95 97 95 96 97100 98 98 94 95 98 97105107 97 96 95 96100100102103103102 94 95 95 95 95 94 93 94103103103102101101100100101102100 88 88 87 98 98100 97 96 95 96 97 97 96 96 95 97 97 97100107100104106101101102101113113100 98 99103102 97 98 99 99 96 96 96 96 96 96 95 95 96 97 96 97 97 98 97 99 99 98 98 98 99 99 99101101 99101100100100107 99100 99 99 99103104103105103102100102102102104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159154158160160160158161163168168170170170169170999999999999999999999999999999999999999999999999999999999999999 94 94 93 92 96 98100102106106103106107107108109112114115115119126124124126129132135135133132134135133134134136129130131130129119119118116114116114113114117118118117116113110109108107109102103103101 99 95 96 94 95 95 94 93 95100100102 99 96 97 99 97 95 95 95 92 90 89 88 87 87 89 86 77 75 84 78 78 73 75 71 71 69 57999 71 68 66 77 74 72 66 72 82 83 83 84 86 90 88 90 92 91 91 95 97100 97 96101105107107109109109108106107100 98 88 86 89 91 92 95 99101101 98100102103 99101104105103101103106109108106109106109107103110111105105110110104104108106108108108107105104105107107107106106 97 97105108107108110102103101102104103106106104101 98 99 95 94 91 99100 99 92 95100100 95 91 93 93 96 93 94 94 95 95 96 97 95 96 97 97101 99 97 98 97112 97 97 95 96 97100 93 95102101 94 95 91 91 95 93 93 96101100100 99 99100100100100101101101 87 88 88 89102102101 98101 97 99 99 94 96 97 98 99101112101102104105103104104102102102103 97 98 97 98 97 95 94 96 95 93 91 94 94 93 94 95 96 97 97 97 97 97 98 98 98 96 98 97 98102102102102100100100100106106107103103103103102103103102101101101101103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159158157159159159161164167166165166170171172171999999999999999999999999999999999999999999999999999999999999999999 97 98 97 97 99102104107105105104105104106107112112113117120126125122127130131133134133134134134134135134132132134132131131121120118117116117116115118120121121121116112111110108109109102102102100 98 96 93 91 90 93 95 92 95101101102101 94 94 96 98 96 94 93 91 90 90 86 86 85 86 81 76 76 75 73 71 71 64 64 66 66 72999 65 68 63 73 69 78 73 79 80 82 83 85 87 84 89 90 89 94 92 91 94 96101101100103108105107107109108107108102 97 89 88 91 94 94 97 97101100 95100101102 98105102100100102104106106106104103105105107107112111109107108105104105104106107106107107107107107106106107106106107105106107109109103102104102102102 99105104106103 97 97 98 96 96 91 98 93 93 99 99 97 96 93 93 95 94 99 94 93 98 96 96 97 95 96 95 99 97 96 94 95 97110111 96 96 96 97 99 94 93 99101 95 96 92 90 95 95 94 95 94100 99 99 99 99 99 99 99 99100101102103102101104103103104104104103104 96 96 96 97 99 99101103103103106106103104108103106103101100 97104100100 97 96101 93 95 94 98 92 93 95 93 94 95 95 95 97 97 97 95 96 96 97 97 99 98102100100100100100100100 99 99103103103103104103104103103104104104105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163158160159159161161159162163161163166169170172174175999999999999999999999999999999999149151151149148146146145999999999 96 97 97 93100 98 99105106107106106105106107113116116116122124125126129130132132134135136136136137135137135134133133132132122121116117118118121120120120121122123121119118119113113112109101105 96 96 97 97 96 98 97 95 98103103107106102100 99 97 95 94 94 94 91 90 90 89 87 84 86 84 74 70 71 71 65 65 68 69 64 70 70 66 68 67 62 67 73 80 80 82 83 80 88 89 88 89 89 89 88 95 93 94 94 94 98 97101104105109109110110108107107102 98 97 93 93 95 96 98 97 99 98 99100101102103104 99100100104106104108106102103103104105106103106107107106107109108105106105107106107107107107107107106101107107106107109108107108104103102102102103104104103104102 97 98 94 99 99100 96106 98 99103 96 94 95 94100 99 98 98 98 99 94 96 96 94 97 97 98 96 96 94 96108 96 96 96 97 97 97100100100100102 89 91 91 96108 95 95 95 99 99 99 97 96 97 97 97 98 98100100101100101101101101103105 94105107 96 96 96 97 97 99 99 99100102109119103103103104104102100101104 95102 98100100101102 98100102101 94 92 94 96 98 93 92 96 93 94 96 97 96 97 97 98 96 98 99 99102103103100 99 99101102103103103 99102103103103103103103105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159163160157157157159162165166164166169169171172177999999999999999999999999999153148147149148147145145144147143141999999 97 97 99102 94 99102104103103106103105103109115117115118119123124124125128131135137137139136136137140135136135133130123122126117116117118121122118119120122122121120121115111110105103100103 97 98 98 96 99 97 95 92 95 93 99101101100 99100 99 96 93 92 94 93 92 90 87 86 85 79 74 78 70 74 65 65 66 70 68 66999 69 70 73 77 74 73 77 77 75 83 86 90 92 92 90 87 85 88 90 89 94 87 99 90 95103102 98 98103106107106106104107101 96 92 91 90 91 93 94 96 98 96101 95101103 98 97 99101102104104108108107107106104103100101101101106106107104106105105105107106106107106107107107107106 99100108107109107107104106105105102102103104104102105105104 99100102 99 99 99 96106 97 97 98 99100 94 99 99 99 99 99 98 94 94 93 95 96 96 96 99 99 95 95 96 97102104 96 96 97 96100100100 99100 91117100 95 96 95 94 94 97 97 97 97 96 96 96 96 96 97 97 99100 99101102102102104105 95 96 99 98 98 95 97 97 99 98 98103103113103104103104104105 97 96 96 93 95100 98100 99 98 96 99100 99 99102100 97104105107103102102 99 95 97 99 97 96 99 98 99 98100101 93 96 96 99101100102100101100102102103102102102102103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165156160155158160158160163164165166165168170170171167999999999999999999999999149155148145145147147144144145146144143129113101 97100103 98 99102104104104106105108110112115115118118115119119120124127130135138138136136137141140136134136123128129127125118117118119119127120122124123123123121120117111109105105101100100100100 99 98 98100 99 99 99 98100101101 97 93 96 96 94 92 91 92 92 90 87 85 82 81 77 78 65 65 63 59 68 67 69 67 60 69 74 74 69 75 70 69 71 85 89 91 92 90 89 89 96 94 90 90 93 88100 91 95 97 98 99 99 99 99103104102103104106 99 97 95 94 95 96 96 97 97 98 98 97 98 97100103103101103102104107107108107106101102102102103100104101104105103104105104104102103108106107107107106107107 97106105107108106108109102106107103103101102103100109106106101101100100101108109108 98 96 96 97 98 93 93 96 96 99 99 99 91 93 92 93 94 95 95 98 95 98 96 97 97102 97 96 96 97 97 99 99 99 98 98108111 99 98 94 93 91 92 95 95 95 95 94 95 95 95 96 97 97 99 98 99100101 94 96104106 96 97 99 98 99 99 98 96 99 98 99 97101102102104104103104106 96 95 99 95 95 92 97 98 96 96 92 96 93101103103103100109103103103101100100102 97 98 98 99 98101 99 96 97 97 95 96 98101101102101100 99101102101101102102103103102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155159158160161160163162167166166168169169166999999999999999999999999999999155149146147144145146143141143144141129118111102100103 98 99102104104105106103104109110109111114114115118119120124127130134137136136133136141139138136128127127127125123118118120122125124125126126125125122123113112114112106104102 98 99103104 99 99 99100102101101101 98 97 96 91 94 91 93 95 96 94 95 91 90 85 82 81 75 69 65 65 65 63 56 74 64 64 63 68 83 86 70 69 68 69 68 83 91 93 91 90 90 89 89 89 90 85 88 86 90 83 91 93 94 97 95105102103101101101101105101100 98 97 98 99101100100100101 99 99100 99 99103104100102107108107106108107106103103101 98102100100 99100 95103103102102104104105112107107108107105106107107107105105108106108108105105105106105103102100104105 99100102 98 99100107108100 98 99 96 96 96 97 96 94 95 98 99 99 99 99 95 93 98 99 96100 95 95 94 95 94 95 96 93 92 94 95 94 97108112 97 98107113 98100 94 94 94 93 96 97 98 96 95 95 94 95 96 94 94 95 95 97 98 99 94 95103104 97 97 93 94 99100 98 99 98 99 98 99 99 99100101102102103104 92 93101 94 92 94 96 95 98 96 98 99 98104102 99100100102 97101101101 98 99101101104104 99 99103101 93 94 97100 99 99100101102 99 99 98101 98100100102102102103102101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161160161161162161162159161164165166169170170170999999999999999999999999999999154150145145146145146147144138136138138133125109103999101103100100104104106107102106115113114122122123124124127127132133134133134133133138139140140138137131131132128132129119119124127127126125124124124123124127118116114113109107106103108104105107103102102101 98 98 96 94 95 89 86 90 90 91 87 90 89 86 88 92 83 80 78 73 68 64 64 63 66 55999 63 64 61 67 70 71 72 70 74 74 80 88 91 92 91 89 87 89 92 91 89 84 84 88 90 90 82 95 94100 96 95101102104105 98 98 97100 99 99100102102102102102102 99 99 99100 98101100104103105108109108108106107103101 98 96 96100 96 97101 99106100100101104102105104105102104105105109106106107107105105108107108110106104105106106102104100103102102102102103102103107109100 98102102102103 92 94 93 95 94 96 96 97 97 97 96 96 94 94 93 94 94 95 95 95 96 96 96 96 96 94 98 98 94 93 96 99109110 98 99 92 93 91 96 97 95 95 95 95 95 96 96 97 97 96 96 95 97 99 93 94 96 95 94103104105 98 96 96 97 97 97 97 98 96 98 98 95 99101 99 98103 91 95 95 94 97 98 99 91 93 98 97 98100101103 92 98 98 98 98 97 99 99101100100102103100101 97100100102101100 99100 99102 99 99 98 98 97 99101101 99103103103103100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161157156161161162163162163162166164169169169168999999999999999999999999999999155149146143144144144145138132133129129124112111104108 97 99100100109102102103104105118122126125127124129128132134135135136134133134133135135138140140140134134134125127122117120122127126128125124124125124122126125122121115111109109107105102104103101 94 92 89 87 82 82 80 76 78 83 81 78 77 80 81 80 77 82 83 84 80 75 69 65 66 63 66 60 48 53 58 57 61 65 65 63 74 72 77 78 87 91 90 87 86 88 86 92 97101 99 95 90 93 92 81 90 93 94 91 94 96100102104104103101 97 99 98 99 99101101103106106 99106106102103102103104105104105108108108108102102101 99 98 98103 99101101106107 98102 98 97 97100101102101103103105105105107110101108107104105107108106106106105108104103102104103104103104 99100101102 99107109 97 97 98103 99 92 97 94 98 91 97 94 95 96 94 93 95 95 95 93 94 96 95 96 96 96 96 97 96 96 96 97 96 94 94 97 98106102111 97 96 92 92 91 92 90 96 97 96 96 96 96 97 97 97 98 99 99100 94 95 96 96 96 95103102 94 98 94 96 97 97 97 96 99 98 95 98 95100 99 97102 99 95100100102 98 97 98 99100 96 98 98 99102 97 98101 98 99 97100 99 99101 98101101 98 96 94 99100101101102 96 95102 99100 99101100101105102101103104105100 99102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162159163165166168169168166164164165168169170167999999999999999999999999999154154149142141142142143145142137129119115111110109107107103 98100 99100102103104105110115123128129125128127122121129131131132133132130129133133133137138139136134133127129120121121123123124125121119119118121123123123120121121118113112108107108104104103 92 87 82 77 77 76 73 72 72 72 69 70 72 73 78 74 74 79 84 84 79 73 67 65 67 64 62 62 58 58 56 58 62 65 63 64 73 73 77 86 94 97100 89 85 83 84 96103102101 98 98 92 94 87 94 92 92 92100101103104102102102100102102101 98 99102103106108106107108109108108108104105104103102105103103100 98 98 96 97 95 91 90 93 95 99101104105 97103102101 97 99100100101106106103102 95105109105105102104104104106107105105105103104104102105104102101 99 99110111100110107102 98100111112 99 95 95 98 96 96 96 96 96 89 95 91 93106107 92 97 96 95 95 95 94 95 96 98 97 96 95 96 97 97 98 99 98 99 97 97 97 93 91 90 90 97 96 96 96 96 96 97 97 93 98 99 93 99 99 94 95 95 96 96101102102 97 94 96 95 95 95 95 97 98 98 96101101101100101100 99103 98 99100 98 98 98 99 98100 98 99 99100 95 91 99 97 99 97 97 98 99 98 99101 96 96 95 98 98 98100101 99 95102100 98 99101105104102102107101103105100107106104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159161160163163168172172173168167169166167169169165999999999999999999999999153148143139138137135142144142141134127121115112110107114105100101102100104106111106117123124126127125130123126126128128130128130136138131132135136137138133134133131129129124124121122119122121121120120120123122123115116120123122119116115113110102103 99 93 82 78 78 76 75 73 73 74 73 69 71 72 71 71 74 76 80 83 86 83 71 66 68 73 66 60 58 55 60 63 64 64 63 61 60 76 78 84 91 98 99 98 93 89 90 90 83 87103103103103 89 88 80100 97101104104104107100108107103105105105107110109102103105107107107104103108106106106107105102 99100100 98100 95 95 94 95 97 96 93 92 94 97101 97100106106105103 97 97 99101101104105105104105109109104104104106105107106107104104107107108104106110104103100104100109110104112110110 99105112111101101100100 98 98 98 96 96 98100 94 92 94100 97 98 96 93 95 95 95 95 97 96 93 96 95 95 95 95 94 99 98 97 97 97 98 98 98 96 96 96 97 96 96 96 95 96 92 93 98 99 92 95 95 93 95 95 96 96101101101 94 96 95 96 97 97 97 97 96 99 98104106 99 98 99 99 97 98 96 98 98 99 97 96 99 99 99 94 96 97 97 95 98 96 92 98 99 99 99 99 99 87 88100 95 93 98 97 96 97 98 99100101 99102101100105106104108106106102106107104105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159161162162163165170172173174171168168167167167170169169999999999999999999155151142140139140137133135141145143138132120113115111110109107105105105104104105108113119124122119115119123121120121123123125127129133131131129129134142134132131130129129126122122124124123121120121122121120118117113113116122124122120111114110102 98 97 92 90 82 81 79 75 76 74 72 75 71 69 70 71 71 71 70 71 77 84 85 79 75 71 71 73 67 58 58 59 62 65 65 66 64 56 75 75 73 87 96100101103103 98 94 93 89 86 81 90 91 93 91 86 91 90 97 99 99103103104104103102 99102102112106103104104102100103104103100100102102103103104103100 99100 99 97100 89 91 90105103 92 92 91 92 99100103 99100102106102 99100103102103104105108105108105105104104106106103104108103103105105104111105106110105110101101103101 97107 98107106106104107 99102107 99102100 99 98 96 93 96 97 96 87 95101102100 96 94 92 93 95 95 97 96 94 96 91 94 96 95 95 99 98 98 97 97 97 96 97 96 96 95 96 96 96 96 96 96 92 94 98 99 95 95 95 96 95 95 95 95101101100100 94 94 95 95 94 96 98 95 97 99102101 99 99 97100 98 99100 99100 96100 99 96 97 98 96 92 96 97 94 93 91 93 98 97100104103 98101104101 99 94101100101102 98 98 98 99 99100 99 99103105103104106100100104106103103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158163164166168169170171171172170168168171171171172172170999999999999999999152148142135136138137136135141140140138134123114112112111111111111105104104105110114118122123120121121121119119119122121121122124128132133130132129131138136135131131129127123124120123123122123122122121119117118118115115114119122115120109107100 99 93 96 84 85 79 80 81 76 73 74 74 71 69 70 71 71 71 69 69 74 79 81 81 79 80 75 75 75 68 60 61 64 65 67 68 63 61 66 72 73 74102 93 96 96101 99 99 98 95 92 88 92 91 92 93 86 89 88 89 88105105107103102102 99105 97101101105100101102102100100102103 98102102103103100101102102102100 99100103101100 99 89 98102 95 89 93 95 99100100102100100107101 97 98 98 99103105105108107106105106106105107107106102107102104107103104108104106105105109108100104104101107 98 98111114106108103101107100 99100103102 98 97 96 96 96 91 94 96 97 88 89 91 92 94 95 94 95 94 94 94 94 97 96 95 95 97 97 97 98 97 96 95 96 96 96 93 93 96 96 96 96 97 98 94 94 99 99 95 95 95 95 95 96 96 97101101100 96 96 95 95 94 95 94 95 99 98102 98102 97100101 96 99 97 99 98 99 99 99 99 98 97 94 95 97 97 93 96 92101 98 99 98 99 97101103103 98100100 98 99100 90 91 96 97 97101 98 98100104106105104101 99101107106106103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166161162160163162165171172172167170175174169170171171171172169168167999999999999153148145141138137135136136135138140137131126120116112112115112112112110109104105113117122122122120122120123126121118122120121122123123123127125126134133139139134130130125123123121121121121122124121119122119119119115114115115112115115118109104102 98 92 89 86 83 78 76 83 88 80 75 72 72 72 71 71 71 71 71 72 75 81 80 78 78 79 78 75 73 67 64 64 68 69 69 65 61 65 62 74 73 85 85 88 99100101 99 99 96 97 92 95 94 95 95 91 91 84 91 91 96103105105105105102100100105106101107101101102103102102102101104101101103103100100 97 97100100100 98 96 97100 97 95 95119 93 92 94 97 91 94101103100 98100 96 97 99 99 98104106106107107107106107107108107107106102104106102104103104102104104104104109109101100119100104106110107117104107105105103 97101102104 98 97 96 96100 99 96 96100101 88 90 88 92 94 93 93 96 94 94 92 93 94 95 96 96 96 96 97 97 96 96 95 95 95 95 91 95 96 96 96 97 97 98 93 95 95 96 99 96 96 96 96 97 97 97 98100101 96 97 93 94 94 94 94 95 94 95 96101 97 96108104111 99100100100 97 97 97 96 96 97 96 94 94 97 97100100101100 98 99 99 98102103 99102100100 99 99102 97100102 93 97 98102103101107107106106 98101 96102102102104100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173171166165163163161160169171170174174175175174171174171171174170164173175999999999999150149143139139137136134133133134132130127124122120120120116116115114114106106108110112116120121119124125125125125122121119123124123124122126125132141135134138135136126123124124124128120120119119120119123120120119117115114117116117118118113115104 98 85 82 79 79 77 78 77 75 81 72 72 72 72 72 74 72 72 73 78 79 79 81 80 76 71 76 74 75 69 65 65 68 70 68 67 67 69 74 75 87 88 95 97100101 98 98 98 97 97 96 98 97 94 95 94 94 94 93 98 99 99104103105105101102100101102108109107109108110108112110110111112105105105102103101102103100 98 97 99106105118116 99 97115112113114 94 96103105106100 97 98104109104103104106104107107106106107108108107106103105104105104104103103108107101102108109121109108111103 99107106105 98102102104100102101102 97100 99 96 95100 98 99 94 93101102103 97 90 94 95 93 96 97 94 94 93 94 95 94 97 97 98 97 94 96 96 96 96 96 96 96 96 96 96 96 95 96 96 89 90 91 96 95 99 95 95 96 96 97 97 97 96 96 98 94 96 92 94 93 95 90101 94 94 94 90 97105108 98 96 98 99100 98 95 96 95 94 95 96 96 94 95 96 98 98100101 99 98 98 99100102 99102102101102102 99 99103103102103103102105 97 98105106106106108109 96107101102 98103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167167167166163165167166166170173174175172169170171170172171171166166175175999999999999152146140140138138136135133134133132130126121118118118117116115115112112111114112115116118116117117116130123122126125122122123120122126124125125132136132131135135125123125124123122122114122125122124122121122117112111104112112110111111110105101 93 91 85 83 81 79 77 78 79 76 78 77 73 73 70 72 73 72 73 71 74 79 78 76 77 70 70 69 69 65 65 65 65 68 66 65 65 64 73 76 85 89 92 95 98 98 98 97 97 96 96100 99 97 99 97 97 96 96 96 99 99 99102104104103101102103105103 99 99110112112112111104112110108108106106106104 99100102102102102 93 94101102111111111116118115116117118102101104105 95 96 99100100100102103104104106107106107105106109108108105105107107108105105106107104103103102101100111114113115122104103103106105104106101101107107 99102100101102 97 96 97101 93 94 98 96 96 98 97 99 96 96 96 98 96 93 93 94 95 94 98 99 98 98 95 95 96 96 96 96 96 95 96 96 92 92 96 87 96 89 90 90 92 96 95 99 96 94 96 95 97 97 97 96102 94 93 97100 92 94 98 96 95 95 96 98 97103100 95 96 97 98 99 97 95 95 98 97 96 97 97 97 98 96 97 98 98100 93 98104104102101100103100100100101104101102102103103102102103102104 97107106 96105 94107108103 99 99106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168168167168163163165164166169172173170172174173171170171169171170171172173173999999999999154149143141141141135134134135134134133131126121122118118119120116115112115116117118122115117118118118128126126126126125124126125123125125132152140139134135139136131125124125123124122119124121123123123123120119118112110110109108110111109101 93 92 90 86 85 81 77 82 81 73 73 77 79 80 69 72 73 70 69 70 74 70 69 75 65 67 67 64 60 64 65 65 65 66 66 66 63 66 65 77 85 91 87 92 96 98 99 96 96 97 97 97 96 98 98 98100100100101100101100104105105105101101102106109101103102106106114116103114112114113120119111103113100 99 99106101104 91 91100106104118119119128115120117101 93 93 94 97100 98 99102 97 96104102107108110105104106106107101103104106109108107108105104104104105108109108109102101107113118106104120106104106102101 99 98100104103100 98106 97100103100 94 97 95 99 94 93100 97100 98 99 99 97 97 93 95 96100 95 96 98 97 99 98 96 96 96 96 96 97 97 97 97 94 93 96 97 95 95 97 95 96 97 96 99 95 97 97 98 98 96 97 97 95 98 94 97 99 98 94 98 93 92 93 95 98 98 97 96 99 96 94 97 97 94 92 93100 99 98 97 96 99 96 98 99 99 94 96 93108 89 96 99 98100102100 99100102100100 99100100100101102104104105 98 98 99 97 94106108110100100 97102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168167164161161165166166163165166169170171170170176178175175172170170173173170175999999999999999156151145141138135134133135134136135134131132130128130131132127125123121121121121122122118122125124126128129130134131128124126125124124128131133135145132135141137128125123124122123122124123118121120121121120119118119115109108110109110111103 91 89 89 89 88 85 81 86 82 75 75 74 76 77 76 69 74 71 72 70 66 69 74 65 58 58 62 62 61 62 65 71 72 69 70 68 68 74 70 80 86 92 94 94 97 97 97 99100100 99 99 99 99 99 98100100 98101101100101104105104101100101101106103101104104105106106105116114113115115110111111108112108101 95104100 98 96100102 98 98121 99 99115117120103104 94 93 96 98102102101103105105103 93107108106104107107107108103104105105109109109108107105104105108111110110107102107106106107106121121106104106101101 99105103 99101 98101100101100 99 99 98 99102 97 97 97 99 97104107117102 98 98 93 95 99 99 99 99 95 95 96 95 94 94 95 95 95 95 96 96 96 96 96 96 97 96 95 95 94 94 96 95 97 96 97 98 95 96 96 97 98 89 90 97 96 97 97 98 98100 99 96 96 95 98 98 99102101 94 94 94 92 93 92 99 99 97 97 97 96 95 96 92 95 92 95106107101 95 95 95 98 95 98 97100100100 99101105102102101101102102 99 99 97108 95 95105107102101 98103101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167165162161165166166166163161164170168168167170175181179175174170166163167170171999999999999999156151149145141139137135140141143142143140136131130130132134129130128121118119122123125127128129130132131133132131129129129127128128128128130132132132127129130136128126125122122120118121119118117118116117121117116113111106109109111110104 94 91 91 91 87 85 87 90 85 82 79 75 74 75 74 72 70 69 68 66 65 64 68 63 86 68 59 65 65 65 70 68 69 75 74 76 74 76 75 77 87 90 95 98 97 98 99 98100 99 98 98 99100 99100 98 99100100101100100103103101103103104102102103105105104112108107105104104103103115110115114114109113112106100103100103102104104105103100 95 98105106104105106 98 99101102102103103104105106105105111106105108109107108104104105105107110109108 97105105106107109110110109108104107105104105109125107105106104104108101117107100101 98 98101100100 97101101 99 98 96 96103 99 99 99100 99 96 98 99 99 99 99 99 99 98 97 99 96 96 96 96 96 93 94 95 96 96 96 96 97 95 95 94 93 94 96 95 96 97101 97 98 95 96 98 97 95 98 91 92 88 92 94 94 99 98 97 99 94 98 98 98 96 94 98 97 97 92 91 91 94 97 96 98 98 97 93 92 92103 94101103100101101 99 98 99 97 97 99 99 98 97 98 98 97 96101102100101101102106107108108106 98 98101 99103101102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164166163163164167167166164161161165168170170170173172178182180180177175171170172999999999999999999158150151148145145140139145147142142139138137136138138136137137135131124125122121124127128129132133134132131128128126132130128129128127125127132131130127129126126125122121122122119118117116116117113112111112111113114105106103108109107 99 93 93 96 98 95 96 93 91 89 86 86 80 76 81 73 71 77 68 70 65 69 70 62 84 74 60 60 67 69 73 72 73 76 81 80 80 80 85 86 88 93 97 99102103102101102100 99100101100 99 99100100 98 98 98 98 99104102104101102104105104104104105106107109109109107105109109108106110109110112113116108107107102103103103103103109105105 99 99 98100100106107100102101102103105103105103106106106111108107106110102106107106106107106109109109108109110113113105110109110112108109109104104101100104105105107101118116118 98102103102102102104104101 99100100 98100110107 99 98 99 98 96 96 96 95 99 99100100100100 96 99 96 98 95 96 93 95 92 93 97 94 94 94 94 94 93 93 96 96 97 95 93 98 97 97 96 97 95 97 96 96 94 96 95102102 95 93 96 99 96100 99 98 98 98 98 93 95 97100 97 98100 95 96 94 97 97102 96104102101 97 97 99 95 96 98 99100101 99 99 97 98100100 98 99 98100101101 99101 95104106105104104 99 99 98101101102103103103101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167167168163161167167167160156157157161164165167169169173176179183181182180178173175999999999999999999999151153151148146144142145151143145143140139140141141137139136136134130125126121121125125129132129131130131127126127129129130128125126126126130127126127126124126123121119119120118117115112118112111110109110109110105106 99107109105104 97 95 96101100 98 96 98 96 93 90 85 86 79 74 75 71 74 76 77 76 69 72 68 68 71 72 70 71 74 80 79 78 80 84 87 86 85 86 95 98101103105104103102102101100100 99 99 99 98 99100100100 98 98 97 98104102102101103104106104105104108109107107108108106110111111114105112109108110110109102103109109105112104102101 99112101100100101101101104101102102104104103103103107109108108107108109108108113113106107107107107108108107106109110117119116111111115116109107100101108103101106101 98 98105121106102101106105 99103103102 99100101100100 96101111109105 98 96 97101 99100 98100101103 98 94 95 95 93 97 97100 92 98 98101102 98 97 98106 96 93 95 96 97 97 97 97 95 94 95 96 96 95 94 94 94 97 90 93 95 97 98 99100 84100 96 96 97 97 97 99100 97100 94101101 92 97 99105 97 95104 97 96 96 93 95 96 97 97 98 96 94 96 98100100 96 97 98 99100 98100101101101100100100101101104105104105103101100100100101101102104105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166168169167164164167164162159159160164165168172173174175178180184186184183180179173999999999999999999999999153155153149145148146147150148147144140144143138141142142142139139136133129125123124126130129128128128123130132132131128129127125128129128128130129127128125127122119116113114112112116114113110105109109111109111115109112108106102101 98101102104103101 98 97 95 91 86 91 87 77 78 74 69 73 76 74 80 82 63 71 75 75 75 82 84 86 85 84 87 90 90 91 92 97101104105106106105104102103102100100 99 99100100 99100 98101100 97 97 95101103105103102106107108109109110108106105106107110108110109108108109107106107109109104104103114114104104101102102105106101101106109105106105109106107108107104105107107108108108109109111112114113110110109108108108107107113114124115115110117116114107109109110105111111110109112112104111114106104106106104 99102101102105102102 99102103105104104107 97 96 96 96 99101101101101102 93 94 94 94 94 95 98 92 91 98 99101 98 98 89116104106 97 97 96 96 97 96 99 98 94 94 95 94 93 94117 95 98 97 97 98110 93 95 95 94 95 93 99 99 98 97 98 97 97100100101 99 99 99100100107104104106111102 97 94 94 96 95100 94 94 97 98 96102102103 99101 99100101102101102102101103102100105102103102102102101100101100102101104105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174171166167169171167167166165160159159165167169171174176177178179180183187186185184180180999999999999999999999999999157158156151149148153152148147146145141138140133132130131134135131128125124123126129128128130131131129127123124129124122123127123124127128128132120119120119118114108114116114111108107109103106102102108107110109107108109108104101 99 99102100102101 99 97 94 92 89 87 85 84 82 73 73 67 72999 60 67 72 68 81 81 84 87 89 91 92 91 92 94 97 97 99102105106105105105104103102103103100 98 98 99100101 99100101100 99 98 96 95 99105103103103105107108108106107107106109106107107107107110109110110107105105106107105106104108108104 99 99103106106109108103106107106105107110106108107107109107111108108109109110112112112111114107110109114115111112115117113115124124124118112110107109108111109110110111111112112106107105103103101102 99101102101102100101100101103104101102103100 99101100 96 98103 97102100 97 94 96 94 94 93 94 94 93 92 97 90 94 93107113113 98113 97 97 97 98 98 98 97107 99 97 96 95 86 91113116 93 98108106108 92 90 92 90 92 94 95 97100 98 97 98 98 99 99101102103106104106102105109 99 99101 96 96 98 99 98 98 98 98 98 99 95101102101 98 99 99100102102101104102101101100 99101102100101103102101101102103105104102108105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179170172167166165170169169169164161163168170172174173177178181182181182183187185188186186185999999999999999999999999999999161162154146146153152149149148145140140139142134129133127129129134125123123125128129132134134132126125124123121108108122121124122124128126134127125124123109107109106109112112109109104102104 98100103112110110109110106105103101 99 97101105106102 97 96 94 94 91 91 89 89 81 75 71 76 84 69 69 68 72 75 82 86 88 89 94 95 94 97 97 98 98100101104104105104103103103103103102102102101101102102100 99100100 99 98100 96 99 99105103104104105105107107106108107108111106107110111108110111109110109105105112112110110113110110109108109104108110107113113107108107108109108117112113110109110115107106108106111111111112112109107110111116115112116122117113116116108109109111107108110109103104110109111102102114107106105104105101102101102103103100101100100 99100100103103102103102102101103102100 99 99 94 94 97 99 96 93 94 93 93 98 95 96 92 99100111 98 98 99101 97 98103102101 97 97 98 98 98 95 95108108104114109107107104 99 97108110 93 96 98100 99 98 97 96 98 98 98 99100103101105105104103102 90 99101102101101101100 95 95 98 99 98 98 98 99101102 98 97 98 99100 99 99102103 98101101102101 99 99101100101102106105103105106106107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185181173169166163163166166164164168168169172173176177177179180182183183184185188188189188189187187999999999999999999999999999999161153145142148150150150147143144138136133137134134129129127133125128135126128131132134133132125120121121118123119121122126120122125118129128127126118116111109108110122100128107109108104106108112112110102102104104106100103103 96 99101102100 96 91 91 91 88 88 87 84 79 76 77 72 80 79 82 83 91 82 91 91 92 95 98100 98100101100 99102102104104105105103104103103104105105103103103103103101 99 99 99101101101100101101105101102102105106107107107112112111109108108109111107110107109110111111113114113108111110110104103104103104105108106111114116111108110111111110117114115112110107108107108108108108109116115110110110111116118117118116125121114114107109109109109110110109107107114114114110109114113114111111100102100 99101 99102101102102101100104105104104103104104100101102102102103 99 99102100 98101 94 96 93 93 98 90 87100 97 96 97102101 96103 97 99101100 99100 99 97 97 98 96 96 98 95111105128108 99 92 93100121114 96 95 97 99 99100 96100 96 99107107 96 99101102100100100 96100101102101102102101101101101 96 97 97 96 96 96100101100101103 98 99 98 98105105104103102103104101 99100100103103104104106106104105104106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183185183176171169166164164166165161165172177179177177176176180182182182184185185186189188189189188186184999999999999999999999999999999164160146150144147150149146144141135134131129127133129131137139134126129132128129130128127130128126120120120119117116123126125122120115120121122123118112111110111110107104107111100103105112112109107108104102 99 96 99 96101 96 92 96 98 98 96 90 86 85 82 80 79 79 77 75 75999 72 68 73 78 78 87 91101105107100101102103104103102102102101104104104103103102102103104105105105104104104104101100 99100 99 98102102102101104101101105107109109107110112111110111110110110112115108108109111111111111110110109108107102105104106106107109110106111113113110110112111113114115115114111108109109108109108108107108116116110114111118119118120119117114115112116107109108110111112111105108113115116116116104101113113107104103102103103102102104102108102101 99104105102104103100101102103105103102102101100 99 99 98 97 90 91 92 93 93 89 88 90 91 92 94 94 97 97100 97 97 98100101101100 98 98 98 97 96 96 94 96112111 94 93 90 92106105100 97 98 97 98 98 99 98 97101101102109 98 99101101103102100101102103102101102102101 99101100101100100 99 99100 98 99101101 98100100100101102103100103105102102109104102103104104104105104108106104104107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180171176175171170167164161164164167168172177182183181178177177179180182183184184185187190189191191185186999999999999999999999999999999999161161158153145143149150145141138135137129123123132130128132140134129127128131127128135131129125123119121107105104106106123122117120122122119120119117111109108103100102106 99 98 95106 97103100108105106104103102102102 99 98 97 97 98 97 96 91 88 87 85 81 79 75 74 69 70999 66 66 71 70 79 87 91 95105109109102105108107107106106104104103103104104104105104104103105104105106104104104104103102100101101100104104102102103105106106107108109107107110109110114113109110111110110111108110109104111106110110109108105106110112113117117112111112112108117118114114115116117116122123120115113113112112112111110110110110109118118118112119120117112114113116108109110109110110114113118117117116116113115107112105102105102104102102103102104103104 99 99100104104100102101102102104114107107103 98 98101100 96 88 87 95 92 91 92 93 95108 90 92 95 94 95 95 97 96 96 96 99100100100 99100 99 98 96 95 96 96 97 97 96 95 93 94106121 99 92 92 95 98 94 99104 97 94100100 99 99 98 99 99101 98 98100 99 99101102104102101 97 97 97102102102102 99102102 98 99100 99 99100101102101101101102 99104104109107103103103103103104105106105104106109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180174168167168166164162162164168173173177180184182180179178178181181182184186187188190192191192190187187999999999999999999999999999999999999160158156155152143147145138139133132134132130130135138137136133136134139136132135134132128122122117116111105110121119113117114119121118118121117115111111113103 93103 95 92102104106 98102106100108105106108101 99 95 95 96 96 91 92 92 93 91 88 87 85 82 81 76 72 72 61 63 61 62 70 74 84 89 94 99101109110114113113106120114107105106107107107107105105106106105105106106107106104104105105103103103104104105103105105107106108108108110110109110114114119112113112113111110112111108110110111111105111110109110109107107111112117118120121121122109111117115117118119120119120121120120119118116113114112111111126118120120121121121121112122123110118116116110109110112116116116118113113117114117115105107110103101103104106106 97 99101 99103103 98106106109100109106106104105107 94103 90106 89 89 97101100100 99 91 91 94 92100107107 94114 95110108 97 97 97 99101101102 99 97 99 99 98 99 99 98100100101100 98 97 98109104 97 97101112103 95 96 98106106 99 97 99 92105104105 89 93 95105103104 99105102101102 95101101102102103108104102102 98 98101101102101103103 99 98101101101 97 98 99102102103102102105105105106107109107106108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183176170167166166161157160162166167172175177180185183181181182184185187188189190190191194194192189185188999999999999999999999999999999999999999157999999153161156145145140140137138133135135135137139135133133136137137141140138136134126124129117115117115118119120121118118120118117119121121113121121114100102114114108109104108101103101105105104103 97 98101100 99 97 92 91 90 88 88 86 86 88 85 85 79 74 69 68 64 68 69 67 72 79 89 94100102104105105115116118117122125119118121120109107107106108107108107106107109107107105105106104103102104105105105105106106108108109109108112115114116119121124113114115114113112110109108109113112112113114112110113113109110109109116117118124121123122112115115117118119120121121122122123123120119120118112116112129120112124124123123124125125124113118119118111113114114117115115114115117114115116104105102106101101102104102107 99100103104106108108110106109110109104107107119105 89 93107107105 91101100100 99 98 90 94 93 91 94 93 95 95 95125113111 98 97 99100101102101103118118118102101102102102101102102100 99112 97 96 96 94112112 92 93 99103102 97 98 98 92101103101101100102114114 97100101105105101101101101101101103101101102102101 98100100 99100100101101100 99100100 99 97103103103105103102101101105106107111108106108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183177168163162159159159160164164162164169176177182185185185188190189191192192193194194194195193191192187999999999999999999180180178999999999999999999999152152156150146140143141136139137136139138136137139143147146144142137139137139136131130128121126124116116117116116122123124119118119123113111116116105112117115110114105102102104103104103101 96100100100100100 97 92 87 89 85 86 86 87 87 84 85 78 72 66 63 67 70 75 78 82 85 93 96102103106106108120120121119123121119118121117109107104103105106107105106106108107106105104105103105106107106105104105108107108108108109108113116116116114124116116116116116116114113111110110111114114113110109115116117118118119115119119120117118125125127122124129123125124123119120123127123122121123118116116126128135125124124126126124125125112114135122119108116115115116116117114114117116113113105111102 99 98101102103100102 98 99103101104107107106106108108111109112122106105104116106105107 92 99101100101100 99 98 90100102 98104103 98102102113 97 98100100101101102103120118118105106105103104104104102101100101 98 97 99100100111100100101 91 90 91 92 90 96 97101100 83 84109102114114 92100101101100 99100 99100100101101101101102100 99 99 99 95 99102104105105106107105102101103104105103103101101101107105108109107108111112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179176172169163164159159163165169168166167165172178181183185187191190192194194196195195195193194193191191999999999999999999182181177176175173170165163999999150145153152145139141140140139140139138141141139140141145143141138138132136135132134134136125114120118117118116118123124126126121122122116114117111118123118119109114104104110106104104 98100 98 99102100 99 98 96 94 86 83 86 84 86 86 84 88 83 73 75 76 72 70 70 76 87 89 94 97100103105107107109109109120122120111110115117119111108105104104105106106107107108107107106106106107108106107106106103103109109108107108109110113116117118120117118116116119121117115115113113115115115115114115110113116120122123126127122121122123128125125131131133130131131130130126123122129122122121118120121116134125136125126127127128128114115114129133135119108112127115115117117118117112111116110109109108100 98 98100101101100101109105102106110108104106108108108106105116 98 98119116107116102100 99 98 97102102100 98 95100 96 97 97 98101101 96 94 95 96 99101103103104105107107106106105106105106105105106105122123104103102100101100 91 90101 87 85 87 86 89 88101 95108102102102102103103105 98 98101102100102100102102103104105104104104102103102103103106105106106107107107107 84 83104103102103101102104104107109109109103104 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175172169163155156156162169172173172172174173170176182184185188192193194196195199196197196192193191191190999999999999999999180176175175174172170167167999999999149150149147142142143142146144143141144143142141140144145143140138128146137146141134126127127127126121126125127134131128128124125120118119115113125125121120114116111115115109108109106105105100104103 97 96 98100 91 98 94 89 93 85 85 84 81 75 74 81 82 85 87 91 94101102102100102104107107108109110124126109110110111117109109109107105107107107107107108108107107107108107107108109108107106110105110109108108110111111115118120122123120118116115118118117117117116118117118118116118118120123125128127127129128126126125131129128127128131129128129123125131130117118122123122122119118120123115131140127128128117128118118116116141134134118133134135115113114114115115110123116110106106110110108101101103 99100111104104110109111111112112106106105108106106 98 98111109115 98102102102100102103101 98 99 96100100102 98101 98 99100 98 96 96 98100102104105108110109109108106106105104104105105104122105104104102101101100 99 91 98 94 98 99 98100 98100102 84100103103104105104103102101102103103104102102103104104103104104104103103104104103105106105105107106106106102105105103102103101104104108106105111105103106 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170170167167156152155157164171173174174178178178178180183185188191194196196196196197196193194190191192190188186999999999999176177173171172170169168168167164999999148148151148142141144145141144145143148147140141141146146146139135136138145141143130125128126127128125125130146144141134137129121121124126121117126126123117118119116112112110108110107106102102104102 95 94 95 96103 88 94 84 85 87 88 81 81 84 90 90 87 91 96 97100103104104103101102104107123109111129132132129127127121110118118109109109111111110109108107107109110111110110112111109109108108108111112112112115115115119120121124126125122123123125125123124122120121119122120121121124127127128127127128127127126125125128128126128130129122123123121123123122125126126132128125126122122122120120126128126126117119129118117113136134133133135133135130123112109114113114121124111110108104111109105100103102102104105103103106104102103103107102107 98105 98 93110110 92 96100114101102103103 98101 97 97102101102 98100101101101100100101103100101105106109111112111110108107106104103103103103103104103101105106105105105104 99 98 98 99116100101 97102102 89103102105103104103105105102105 90105104103103 84103103104104106105103103102106106106107107107108104104105102101104104104103103101105107106105105107107109107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164164162155154157159160164167167169173178177180183185185186189191198197196195197197195193190190190191189185181999999999999172172169169171168167166168165160999144148151146145141141143143145142146146149146142140143144143140143138136142144142145147126128124128128127126125138138136137139129129121128126127125126120125124112115112108108107105101104102102102 99 94 90 92 93 90 88117 94 85 87 89 85 83 88 85 89 90 90 92 97 99100102105106109103101105108111112112112128132129129124121110116116118117118109110110109108108108110111111112112113114113111109108109112112114115117115117117120122126127126125135137127127127126125125124123123124126127128128129129132131129130127126125126130128124122123121120121121117125124125123122124124124118116119124121130116114128128118117116127113114141134125127126134122121133120138110112113114117119120115108104104117113105102102103106104103103105103103103102102107100 98107100108103 98 95104106 93 97113114101101100101 99103102 98 97 98100101100 92 95 96103101103105107109110111112112109110109105105104104102102103102102103104105103106104100100102100102100101101102102 86103103107106101104105104103105104104105104 86102102103105105104104105106106105105107108108108103102103103 86102105102106105108109104105107107108108108108110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164165162164158157158161162164169170168170175175178182181184186188190194197199198197198197196194190191191191191186179999999999999171170169169169166163164165163162148144145146145144142141144145147147146146147147144146145148147147146140138135137144138146140132129138130128126141137139137137141131129128128128125120123117119116109111112105100 98102101 97102102 98 95 92999999999 81 80101 85 91 91 91 91 88 88 82 84 89 94 94 95 99101103106108110113112105108108113111112111114115116114112111109111111111111111111111110108110110111112112112114115116116114113111111113113114114114115116119122126128128128128139139129129128128128129129128128129131134130130132134135130128130122127128128127130132128131128127122120121123124126120119119118117120116118117119116116118127126129127113128127127127127115136136135122122135130126119119113112117115113108106103103120105115114102101101103104103104104106105105114107107104109105108108105103103 92 94 97 98102102102102101 98 99 98100 97 98 99 98 99 99101 99 91101102104108108109109111111110105106104102102103101100101102103102104103106106103103101102 86103101101102104104 87103106104104103105106104103107107107106105103104104105105104105104105103104105105107110110112106105103108107104102107106109105104106106110111113113112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164165165160157161164165165164168173172177180180182183184186187191195197198199199197196195195195192191190190190185176999999999172169169167166161158157159161163158140144144146147144147143144149149148147147149149145148155159158156151148155148147142144148145144145135132133129141144127124139146133132133133128123121125125117120112111 97111104 95 97 96 96 93 84 95999999999 85 93 80 91 84 88 92 99 95 97 94 89 88 86 95 97 95 98101100106109110112109103104109108123116109122114122112123109118112108107109115112112112112112112115115116114115118119119118116117117114114115115118119120121125127128130131130129131131131131132131136138138133141135135134130132139138132132123123123129129129132128130130130130125125124128127128128121119118118118118119116119119118121120119133133129130130127129128124125138135133121122120125124122120123112115112113109109106104118111109107104102102102103101102103106104105110107105104108105102107103103 94 95 95 97 98 99100 98107100 99102 99 98 99 99 98 99 99100101101100103102 97105105107109108105104105114110101 99101101101102100102101100103105106104105105102 86101 99100101102102102104113105106106106104102106107107104105103103105105105104104103104105105108108111111106106101104104108108107106106103104105104106107 92110112113114111114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162161161162160158161166174176174170173175178182186186185186187188190194197198196196195196196194194193191190187188189188174166999167166168169166163159158158158159160149142143149148147143145145141155151152153149148150149151151152154154153153154150151149149150149146141136135138133136130125128133125127127125126132130123124123121118122116112112106101 94 91 91 85 96999999999 85 85 72 78 87 87 92 97 90 99 93 98 90 97 92 97 99103101101102105104111106108103103105108124136113143115116115119120121122116113113117113113112111111111113116117117117118120119119117116114114115117118121115115118122125130130130131130132132132131136135138143142138136139141141133132135135135133128128129129128128131131131131127127127126130130128126126126126119120118122122120122125119119118129136137135135134135131130128141139136134130119125128123122124120116112112109110109117116104103104104105105107106104105105103103106105102104105104101103100103102102101103 99101100 99 99100100 99 97101100100100100 99 98 98100101100100102104106107109109105109110110108117104106106105 99100101101100101101106101101101106103105105100100103104115111111109112102103102103105104104104103102103102103104103104104105104105106107107109111108105106106109109107107110107105106106108108111110110111113112112109112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158162162159157159164163169173181179178176179181183188189187186187187189193196198196196191195194192191192190189187187186188187173162162158161165167165159158158157157156153146146148152152152145147148151152154151153154156150155156156153151145154154157154146155153153144145136135140134130134130127136128126125124131131135135122123130121124119112111104107101 95 83999999999999 87 86 89 89 94 87 82 94 87 93 92 96 94 94 97100100 97100 97101101100106111108102101102102108139127126131130121120113112115118122124118119121113113114113114117117118118117118120123122124126124121117117126128119121122124127131131130128127132133134133138142143143134133139139141138132131133134134132130130130135134129134133133128124127126132132130132132132124128120121124127126127122131137118131132139138133136122122126134126127126126127126122123132126118120115118116117115115113109108104104102104104104103105103102100101102103103104107105103104100100100102102101101100100 99 99100 99 98 99 99 99103101101103102101100101101104103105106108108108114114115103106112105106105107106103102105105106108105120118102100100118101104104105103105112112103113105103104103104103104103104104102103102102105105105105104106107108108108108108110111113113112112112112115110112110112112112113112113112113112111110111110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166162164163159159165168168177176181180183180182184186188189188187188188188192193195195193192195195193192192191190189188187184186185177172163161163167165164160160159158157155155153154154154154153152148148151150151150150154157158151152156152151159150160158148145144145139139138139143134131134132132129127130128128134129135132130130126128130118109103109100 94107999999999 90 97 94101 97 99 98 98 80 96 95 94 94 97 97 94 96 98 99 99 97 99101101103107106108108110105110116118122133133130121122119120121121119121120119118113113113114115117119121116116117121123128128127125123122120126118120124131126128129128132132132135135146144133140140135136136135133132132129130133134137134132128127126128126131132132133134134134139138138137136134132128126125125128130131125135135121132125125124123123123120117119129128126125122122121125135121119115117124123121122113112109106108107104102104104102104103103102104103103102104103104102103100103101 99101100102102102 98100 99100 96100 97100100101101101 98101101102102104106107108111111115114116116114107104108108107106105103105107106111108108 97101 99101101103104104104106 99 97112111113115107105106104102100102101103103102102102103105105106105105106107111110110107110112112113115114115118116113112111111112111113111113112113113112110112112116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164160162162159165168170176177179183183186184186188188190189189189189189188190191191191192191193196197196194195196196196197197194192188183175167160162165168169164162162161158160160162162158158156154151151153153154152151152155159159155156152155155154160159157151152154143145143145146140137136138128126127137134126132137132133136131133133131116109101100 93106999999 85 87 99101101100 98 94 98102100 98 98102108108106 97100 94 99 96 98105102103105110104101110110112114117136138140142143138130131125124125117122114114113116114116115116116117118118120124127127128130128126124125124126126127126128130130133135135135135136136136137134137142136136135137137135134133130132135136135133134130129140132140134137136137137138138139139138137136133131129132134135135136135138137136123126136124123122121120131130130135134132126125125130124129123124125121119119120121114113116113107104104105106103103107104106107105103103102103103103104102101100100102101104103102103 97 96102100106120119101100100101 99101101103105106108104104113115114113115111109106105110109107105 95105106 95 96107107115117108123105106108116112116114114108108115114116109107106103103103104104106104104104103104106106107107107108109111111111112113115116117119119118114113113112114114113112112114113113113112113115115116 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168170165160159164161165167169175177179182183185186184185187186188190190190189189187188189190191192195196198198197195195195197199203202200196195194183173165160162169170171168166163160159159159161160159159157158158156151152151151152155157158160159157156162161160154152151150146140151148136139130139133139135130133134133129129124134136140134125999127110113115118109 92 93104 89 95 93 96 96 99 99 84 81 85 84 92 98102109112111 98 98100105103103109107103108109110110103106113114115119137139140143144138142125121120120117116115116115113114112113113116118118116123127128129130130129126125124125126126126127127129129134135135135134134134135135135136137138138138139136135133129128131133133139133132135138136132129132130133133134134135137138140139140138137138124135123137137138138137137136136124124123123132132132132130131136132130126129129129134123119125116118117118117120115113114110107105106105103106105104104104103104105104103103102102102101 99 99100102100100102 94102118119102104 99100100101101100101101106107108108107112112120114119110107107104105106110105105107 96 96 95114115107107114106120120121105113117114109109109113113107108108108108107106106106105105105104105104105107107106107108109110111112115114115117118117116117117115114113114114113114113113113113114116115116118121121119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171165165162160159163165166170174175178178180183185182182184185188191192193192191190187188187188193195196198199197197195197197201205204201198999195193190180173157164168169169170167161161159159160159161161162160159160162160157152149149155158159160159155154161163163153157151153149146146141135132133132137140135139137133132141123132130119133999999999999113113118116111 93 91 88 92 89 91 95 93 93 89 91 91 87 88 91 90 85114117100102106 86100102109101101111115114104118117110121115115119134138138141143142137130131124119124122116117116115113111116117117118119121125128128129130130129131129126126126127128128131131131133134134135135135137137137137137136138139139138135137135133130129130133142140135136138134134134131130130130131132134136138142145144145143142134131137129137137138138138125125123124126124121133126131129135133127122121125129127127130130117117117116116116116116116112108111110106110106106107106105105105105105101102100102104104101101104101102103103100 99 98115103100110 98 98101101100100102103104107107109109112112119115116115109108110110108110103 99 97 96 96121116118106119117119112125122113108107107108108114112108108105107108110108108107107106106106105106106107106106108108109111111110113116115116118118119119117117117116116116116115115115115117116117119121123123123121123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171164163160160160163164166165172176178182179183182184185187188190191193193194193190188187187189191194195196200201199999195196199207210208999999999999999192190179166161159165167167163164162161159160161163163162164162162165158157155150152152159158158157155159161158162157158151151160155150144140132125132126136134145139149141999124129117122127999999999115115117119113100 94 99 99 94 94 95 93 91 93 96 94101102 95106107 97102110110112106 98107105104110113121127123122127129129126125125123144144146145145153153142143131132127125117118123119118117121123123124120121123131129129129129129129131132133134133134132133134134134139137141139139140138139139138138137139140139139138137137136136131139139140139139140139138134133126129130132132134136137144143146146147144139132131137138138128125123124134136136141132122117133130130129130125123121126127124126130117112113116116115116116114111110108109115116113112111108105105104102103106104103103104106106105106106107106105107112118115115106104103103104100100103 97102101124103110112113115117118123117117111114115111109105102 99 98 97108113100115112111123 96117119123107107106108107107107110109115113110108109108110111112111110109108106106106106107109109108110111110110115117114119120121121119118117116116116116117117118118118119120122123121124124120123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179170164162160160160163164166172173176178181182184189184185187189189191192193193194194193190189191192193193195198200201199195197999201207210999999999999999999999196190174172159164166166167166161166163162166158166165157165167165165161156155157155160160160159156161162157158161161163162157155147144141139136134134133139139139154143999999999999999999122117115116113113115108 95106109102 98100105 95 93102103110113116116113116115108110110106110109111113110113113115122124121128126123125130129130137139155145140146148148148139140131122125123126125125124122123124124125125127129127131128128128128129131132135134138136137138139141142141141141141142140140138138138134135138138140139142139138145141141140142141142143143142136130128129129135137134135137138144148149148146142136130130128130129124128127142140142141128121120132134133128129126124132134129121128124116112113111111116115111113112113111114114114112109109108106104103101104105104104103105107107109109118109125117117118115115110109110109108104103102112106107107124109111112114117116118118117115118116116114113113108 99 99100101 91 89107108108110111116107106107108107106109110111114113120118114115116116113113114114113113112109109108107107109109109107109112114114114115119120121120119118118117117117117118118118119120122121122124121122124123122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178175167164162163160162166167171176181185186188189190191191189186187186187189190191191191190189189190194188192196199202202201199197999202208210999999999999999999999999194183181166160164168165164163157157163163157164160156161161159159160160157153153157156150150157159159161160163163163162158153145147142141138136135136124135138999999999999999130125123115114116119119119111107103103103109108100107108100111109122132132125119121113112112116114117114116116116118119119126124123128125124126130132132133135142140138137139139141140139142132126129128127125124122126123124124124125125126129134132126129126131131133137138138138139141142143143143144142143143142141140139138139139139141143139141141147144144141143142142143144142139134135134135137138140142143144145148149149145139133127131129137141140137123131128127127120124119133133127126134130131134135135125127128114113112111113113113111113112114115115114112110109108105107106105104106103104104104105105107107113121117117120117114115108109110122111111110108107121109108108109112109110114115116121121113113116118115114116114109109110108109110108109111110112114112105105106109110110111112112111101114117117118118116117117117118118117116116114110110108108109107108108111111114117121120120120119119119119118119118118118119118119122122123123125125126126121118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180175167163165163164164167169172176180183188189189190190191191187187188185188191192189190189189188187188193194191194200201202201202200201203208212205999999999999999999999999191185178166169170169165160159161164166166155159152156150156155159163157155152157151157151151154159161160159160160158154150145141136136141135134134129999999999999999999136130130124120119121120120116118119116105100110111113117113109115115125127124132124128120116119120120120122124122125124122126133128128123128133128130128129130134135141137137144137137133138133126128128129129129127127129128128127128128129129130132131126122119128133135137137138138140141143144146146146146144144144144144143141142143143141144143144146146147149144143143143143142130134130135135137142144142145145145146147149148146138129129127138138137133132123122126125125127135138135126125135134132133134135127127127125122111112118119112113114118112112112117117112110112110112108110 93108110111105105106107108103106107110114113116123107108111112111112112112111112111120120111109109111110112117118119119122121127134134117116115114113113110108107105112100 96 98107109108109108108110110110112113114114113113114117116121127119121120122123122121118117115114111109107107106109110112112115119121122122121121121120118120117119122122120121122122117119126126124121119118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177174169166165165165167169172175177180185188183185187184188186189185190188188195195194194195195195190192191194196199199200201203204203203202204208212213999999999999999999999999999194186179169165166162162161162159160154160163162160157160160160160160163152155155156158157162161161161161161157155151147147136135134140137124126128999999138999117142129125124122121121124120120114116113111121121117120125127129126124127121124122121121124126128130132133138138131131130127127135136134138139142138131131126128131134141145148166139142143140141142136139133133134132132133134135136134134134133134134135135133128126133139148138137138139144143146147149149147146146146146146145144145143144145147146147154153152150152151150147145143142135131132133135137139141145147148149150150150150148143133139138139128129128124124122120124123126135130131142134134134131127127124125136130126125119113115112116115116117115115117117115116115114115114112107108107107112108114111109114111114111111108107110113108110112112112112113114113114114113113112112111113112115118118118118118118119119121119118134129127114110109104105106106 98102106110108110108109112112109113114118111115123117119123129130128128128128127125122122122118116115115113113113110112114115117118120121122122120120119119120120116123123120120117123128134131131131130124127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178176167165165166168169171176177176181185186187188187187186186188189189192191194197194195196194195193193194192193193195201204204202203203203202205207210213215999999999999999999999999999192179176166163165166163162159156164160157157154152154151153154154156155152150152150156152153158157158157154153155153147139137135138139131999999999113117125117115115119124115112112120126118120121113116130131132135116133135143141130123120116120121123126130131132132138133130130130132131134131129130126139136131133135133129131136141141142143144141142145147147144136134136137136135140141141140136136136135134134138132130129136141144144142142143142145145147147145149149145144141143143143144143144150150150148156157156154157156152151150145139141140140139138149145144150151151151152151150149149147140132131129130131135131126126126125125123127135140133132126125127127125128127127124124114117118117116118117118118117116120117111113118120119111111108110108112113112115117112108104104108125122106110113113110111112111113113109114115114114114114113114114113115117117118115113129130115131132134132119116113112107106104105105104106110109110111110115111111112112115117119123117119124130124125127127128127126127125123120119120120121119118117119110114113113117119121122121120122122121125126126126128123123131126130131131132135134131131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181174169163164167168168173176178174177179180182186188188186184186192189189191192190194192196198199197195195193192195194197203205206203204203203204205208209213219999999999999999999999999999999189185178163164170170170159159154158157159156156153152152156157154156152157155155154158152152157157154156153153152149142140137131136999999999119115111118122116118119114119119115118125123120119115118121120132131126131132151142139135130128130130130135137137135139141134133138138137134136132130131130127135130131134135134134137140140140142145146145148151146144140144140139140141141143143141141139139139140139138135133129135139138146148144146147147147150149150149149144149144145145144145147149150151152152158157158158157156157155151147150149147151144151153149148148151149150147151151146147152148134130128129135131135134135135128130123137134128129123123124125126124124125123119117118117120125121121119119121118119119117118122115122116113112124116115118114114114118118107103103107109107113113114114111114112114113113110110115113112111113114114114113114117114115116116117115127129131132119120118114 98109115118107106111109108109108107111116112112109113120119118123130133134133130129128128128129128126123123121122127124121120117119121121119120123124119125125126127126125127128128126127127128129131132134133133135134130131130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182179172165164164166164169172171170170174175176176184186187186185186191191188188190193195196193198198198199200196196195197200204207201200206205208204207208210213218999999999999999999999999999999999193188184167168165171171163161164158155153153153153151154159158152158157159159159162167166161161163163163160158160151146145145999999120122114119108111112114123116110106112114113118119113126123128138131131132142137135139144140140139137135135140138138142140139139142142141142142141139138134135134132135141133134133134134136140142140141145145147149148145146147146145143142141140140140140140141140141141140142139141138141145145144142144150150146150151151150151147151148150150150150150151151152153155155154160160160157156155155154154155153153154150149149149150150150149148147147146147149148149137135134135136136138139136135124131128127129129128122123128124127119127126127126127124121123126118124119126125125126122121118115115118121120127127126125117117115115121107108106103104107107123123115115126123113124125114115114115111114115116116114113113116114112124132118126128127135135120118121120113111111117117107107107107109108108108107109109112112114115119121123135136135135128128126125127127127125124124122132130124121124123123121122122123123123125125127129129127127128128128129129131129131132147134135134146130134135132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177175175169170164165167168167175180182179177178177178179185186186185186188188187187188191195195197199198200200203203203204202203204206205206206208208208207207210213219999999999999999999999999999999999999192191192186180172173175162163159156151150149153152152154158161160164168168171173174174171171171170170168163164162155143999999130130126121120125109111113114113107110114114113120125125130131133139137145149150151139137149145144141140146147153142145149151150150151151150148147144142146143141141144142141137136134138135137139141146140144155159162147147146151151148147147142141144142143143143144147147149151153155152146146149148148151153151150151152151154156153154155155154154159158153153155157156157156154153150159157153155155155151149150149149150148150151148148148148146150151152148145142141135134135135135136135133128128132127126124127128127128126126131124129125132130134135133129133133129127123126126127123122126121121119121126129130128127118121121116111107105107107111111110113106127128115115115115115115115116117116116116115115114127126120114115130132130131133122118120120121120115114115116113118117116118117116113110111111110114112112115118123124128129136133127125126126126127126124125127127133131131129127127128127123126125126127126126128130130129129129129129133131127134131131140134135140141134128135133134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173168167166170169166168170169176183185183182184183178182183184184183184187186185187189192196195195197200201200203202204204205206206201205203206207208208207208211215219999999999999999999999999999999999999999999195194187189178175172167167158156155153152159161166163169173177178177175176180179176175999999170171166165163153999131136133127119120119116114114101110106106107110112115122127134138133134140141139144144143144142142149148153148155154152153153153156155156157156154151150149148149147143143145140139139139142144145147143145144144146147156155152152154156154150149147143145146144147147148149148151151154154156152149155152149156151151149150151153153156157157156158157157156156159155156156156157156156155150147156155155157156155153151148144145151151147144145145145148142150143145150142146142135134135135132131131131130129130131130131129129128128128125125126127131132132132131131135132133134127123126126127126127123123129130129128127130129129126124123123111117114114112111111111111115125114115115115111116117118119119119119120118117126124126125115133132133131136139121120120121122117124120125125127118119120117120117116119114116118113113114117120123125128128130133126126129129126132133134134133132133131132132129132132132132130128129127128131131131128129130130128130135134130135135134133140146152150152149149139134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168169173171166165164173174173174171167175183183183187184179181181182182180180181183184182191195197196196196195200200201202204204204205205205200201203204202204208210212213219999999999999999999999999999999999999999999999999999201196192187185179170161156156167164161163168167173173182180180180179182184184999999999999999158167163150139135133138129126122118123113107105104107109109103109119135131140142143143135143143147149145146152144151156153152154154153157155156157158158158158159158156155153153151148150144146147145144144145143145145148147148150151151152151153157158156151151150149149150151153154153153154154156157158158154155157159159159163159158158160162163162162163161159160161162162163164164165165166167165165164161165161157155154153143147139148147147149145146147148141146143140142147146143146142133134135133132132134134135131132135132130130129126127127125125125130131132131131127133133128129129127127128129126125128125128131132131125119121127124124123119122122121117115114112111111110115115108115115111111111114118118120119120121121119126127124118118136138137134140124119121121122123125126121122122123121121117119121124123121122119120117128120120122126127129132132130129127129134133133134135133137132133135135136135135134133133132130130130132132131128130130129130135138138139140142141142142146147137138138139136139136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172169165167170164163167172173173174175175177182186186190181178182181180179179181180183187186193193196196194194194197200200201203204203202201204205208207202204204203212213213215999999999999999999999999999999999999999999999999999999999200199191187179170168164170169176169168177185186177999178181184183187999999999999159167170168156156141137141137131124123124123114104103106111114114111120124136139148147145144144144146147149150152151152153152155156157160153154159160160158159160161162163162161158158158156154150147148144141141144145150151152152153157159155155156156157158158157153153153153152153154155156155157156157159159160156157161163166166166162163164165167165164166164164165165166167168169168167169168170172172173170171168168164156157150148149139148147148145145146146142142144146143144145145144146137129136131134132134134135135135138138134133130130130129128128126127131135129131130127135130136138130131131131130128126128128133130132130126118125125121124123123122121122115111116108108107110110113108113115115109110113113114120120121121124123124124123122121121140130130133121119123123124125125121119120120120121119123125126126124122123123128126127126127127136140131131131127134129130134137133134134135136134142136135136136136137137135132132133134135133133133132131131133136137140142143143147131129134132140137136138139138138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175169168169168165165168177172179181182183183188191189184186182181179177176177179179181184186189191195194193195196197201201204205202203200200203204207206203207207209212212214215999999999999999999999999999999999999999999999999999999999999999201198184177177183180179178177183186190999999179182184186187999999171162161166166165169162162147143140137136131120126115113111107110105113115116119121124128141138143143143145146144150151152155152152155159159159156160156159158157158158159159162164164164163160161159158152149150151146148149150153154156155155156158157156156157157159159159157156157155154154153156157157157158158159159160157158165167167168168169168169170168166164166166166168169166167167167167164167165168170171173171172169164163161156160157158146147146149147148143141142143146152148141145145145144137132132130130132133133134135134134134133134133134132132130128127126127129128126132130131130134129131131131130129130129135131132128127125123128127123123123123122121122114114114117109114112110114113115115116116116112112114115120120120124121123125127127127126125125120120122123120123123122123127123124122119120118119124126125124122124122133133132131133130127139138138137136135133133135136135135135135141142139138137134136137137138137135134132134136135135135134133132134141141140140142144143141140140140139139137139138136134139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177176175176170172171171176175179183184186187189189193195187186184183183184180181184184183179180182188190191191192197196199202203205207206204199199203206205205202202204205211214214216999999999999999999999999999999999999999999999999999999999999999999999999999999192193184188189191189999999184185184187190179999177171161158156161159165162164155152149142138135128115110110120107108108114118121124126133136143140144146145152148142149153154153154156159160164164164166161161159160156157158159162162162164163162164159159156152150149149150151154157160163160161160160159159159161160159160159160160160159159160157159158158158158158159160161160162165167169170171169169170171168167167167163167167164163164163160159158160160162163164171171171171171171161151157154156150153151152150144140140141143152153151148148148142145140139133132130132132135133135134134135132134134134131130131129125128129128127127130128127129129128128129130130129130128130131133130125123123122119119124121121121121121121122122120118118112113114114116117115117117117113115120121120120121122124126127128128127126134134126122124123124130130125129125125124123121119124126129124129132133132133133134136139140140140138137138136135136138138137138138136138136136139139139140141139139139139137136135135136137138135136140137137141141141143144141138141142142139140139136136136135136137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181172171177179179177176178176177183184184187188189188189188189188189188184184185185185184186186181185187191191195193196199200197200205207205202201201204205204204204205207207213213213211999999999999999999999999999999999999999999999999999999999999999999999999999999999192196199193999999999999193191191188999999170174172159157167160157162164158163155150146139135124118122122116119111112121123125127129131136142145149148148149151152152153151153155155157160163164166167162162160160160160160158162162163163163165164163160158155152149150153155154154155161161162161162163162162163163162162162163164165166166165161161161161161159158159160158161164165164165167168169170171171170169169164166165164165163163163162161159157160158163160162165167168170171167167164156153155154154155157154141139140140140147147147147148148142140140137138136136134130131136133135137135136136134133130133131131130131133131132129127127127128129129130129130130129130128133134129127126126125125118120121121121121121121121122124121116113112113113115117114117117118119115120121121121122124126127128129129128132125134131130130130131131133132130130129129130130122123131129126134133134133134138139139140139138138138138138138137139140139139135137136138136137139139140140141141139139139138137134136135136136137141140140139142137140141142141141142143141141141149135133136137138138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180175171180180179176177179182182185186185187187188186186185185189187186183185183183184189190191193192190190192197197198202202202201202203204205201206205203202204205207208212213999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193193188182999184184181177168171171163165156154999999164161155148140131129128126130129127124124123128131133138138139146148153154154153154155156155154155158159158161165170170170168168165164163163160163165165164165163164163165164167156157153153157157157157157162164166166165165165164163163164165166168168169168168167167166166166166165163163162164163164161164167165167170170169170169169168167167166166166166164162160157156154163161159159160158162166169171170171169159150154154156157160157156149149148147147143145144145145145141140142141137141138132138138136138140139137137136136136133136134133137135136134130129129129129130130133130132130132134133136135131127126126125123122123123123123120121121123124124123117114112113108111117113118114115120116115116121124127129129131126134136135136135126137138137133134135135135132131131130129129128130135131132136138138140141143145142141140139140141140139139139140140140140136138137138135136138138137137137138138138139136137136137136136136135139138140142142164145167164144144143139144144143140140138140139138149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187183177174175178178178184184187186185185184184186187182181180181182184186184183184185189191193192195195196195197200200200201200200202202204205204206205204204204204206208209213214999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188189187999999183182180180178181178173164160999999152160160155149134126126125118139129130129136133130133134138145147153154155155155154155157161161162163163165166168171174175174173171164161160161159164165167165161161162167167165165163159159157159157159158159161162165166165165168166166167169170170171172172171171171170170170170169169169168167167169168164164165165165167168168169170170172173170171166167166166162160160159158155157156154160157160165168170174174171165154147148149155157155154152149152146146144144143143141144141142144142135136137138137139138141139139138138138137136139138136137143136137138131130130130131134133132133132129133132135136131127127126125125124124124124123123120123120123123124123119116113112113114116117118118116116116116117123124132132133136137139145145145145142145145143142139140138138137134133134132130129132136131132131138141141142144143143141141139143140141142141140141142142141140139138139139139137138138138137137139138137135137139139141140138139144144144145146164162156158145148147147146143142157142140138138142141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194188182181176175182180179184189188187184184184181181180181181179179182183186186184183186185187191192193197197197201199199200200201200200203202203199203205205207208208208211213212216216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187179180177174181174176177182172168162159161162160158155153145137131128135137137137141136141139132134138140144148154155156156157160158160163166168170172173174175177179180180177173173163158161163166170169168164163163166163168168167167165164163164166164166165166168170169169170168169171174175178178179179180176180176177177175173173174174172175175172169167166166166166167168169168167169172169167166164165165165166164161159159158157156156156159163171173175176172170164155152156156156154155156153152150143144144145146148148147145145143142137139136137138139139140140134138139135136136136136139140140140133133130134138134136133133132131131131135137133132128127127126126125125125125124118124123121123124125123122119115113113114116118119115114116120121124127128137138139143139146147153149150148150150149149146145143142141137136138135133131135140137134132140141140138143144144144142143144143141142140141142142142142141139139135134136136134134137135139142140137140139141141142142142144145148149148148163149149150162165165147160157159147158142151144146143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188189181181181184185187188185187185187183181183183184185184187184180182183184189189190192191193192193195196198198197198200202201200201200202201202204204204208210211213213214213215218218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185185178173169160169164170162165166162165156156151155147141139141133143137141140137137144143145141139142150156161160164163165169167170174175177180182180181182182185182182180174170165162163167170170172170166166168168170169170170171171168169172172171172173172171173173172174175174179180181184186188182182183183182185185186184181180181180181180182181175171173169168169170169168167167166167168166165166163165164163161160160160159160160161160162169174178178176172168160159158158154155153154154152148144144147148147148148148149149144143137135137138139138139138139136145142138137137139140142140137141139137136135139136135130135134127131127133135135134129128128128127126126126125125124124122121122123124123122120116114114115116118119123122121124127128132135145146146147148150153157149151154153153154153150149147146145142139140138135133138141140140140141144143143144146146147143143143144141140142140142143137143139138137138138136137141141139138144149148145145146145143144147148149150150149150148150151165169154170161147163162148149148147144145147144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181183183183181183183182184186184183186187186186184185187188190191190189189183182185187189188188192193188191195197200197199201202202206204203202201203203205206209211215215217219216216219220224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192193186179179174169162161165163165161167156157152144141146142144141144154152148148147148151152146145145157170170169172178180180179184182182183182185184186186186184185180178176172168166171171174171171168171166167168172172174174173173173176178173171172171176175176176177178177183186188190192193193194194193192190191192191193191188185185186188188188185181177176175172171171170170171167168167168165167164165164163162164163163163162161159161165173179180180178173170163157160151155155155153152152150144145144149151150149149148147145144138139134134139142143140142142137138138143140141143142138139139132133134137134131133130133132136136137137138138129126125129129127128127128125126123123124123124124124124122120117116116116118122124127128130129131139140142147148147148150153161155155155155157157156155154152151151153147142142142137136142142141140140142140142143144145146143144143144143144145144142142143140140140140141139140145148147148145145143145146147146148147148152151153151151150151150153157156152151149150151152151149150150149150152152152150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183179182181180185181181180183185183183183185186186185183186186186188189191191190189188188189192191192193195196190195197200199198201202201200200201206209208210210210211999999220221219218220222223225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188191187999167166164165159160160162156155150150141136135136142142147148148146142141141143145151146144147167179179183182183179180181179184186187186188186187186185184183180178175175173174172174173172172171168170167167172174175179177177178181179178178177177182181181183183184187190193195196198198198197198196197197198195196193194191190189188188188189189187185185184181179177175174173172170169169169168168167164162164162161162161164164164169172175180180181179176172168157153149154153152151150152149149148147149150151150151147146144147146142135133135137137144144143141138138144140141145143145138135135134135138134134135134133135141140140140140131128128126127128128128129130126124125127127126125124122121120119117117118124125126128131132133136140142145147148150152154156156157156155155155156157157157156154154155155151145146144138138143143144143144142141142146144144146148146145145144145144143143143145145147138139140143145148150146150146144145144147145148149147149151149149146148152152152152151158151151165165164152153152152153154153153158155156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224225999999999999999999999999999999999999999999999999999999999999999999999999999999999182180180182177177174178180186182183181185185186187185185181185184188190190194194191190190189189193192192189188191191195198201202201202200204204202202206209208210211209211999999999999225226226227227227999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166170167160159156155153153148149145144138138133133134144152153139150144147148151147149144147160175182184186188187183186186187186186188190188188186188187184184181177177176176175175177173172174174175172171170174177176181182180181180181179177179184186185187185187189191193195198200200200200200199198197200201198191193192193191192190188188188188189188189189188184183182180177177178176175173168169168169170167167167167172171169172174175177182182180180177173169165158150153152152151150148148149148148147149151149146147148146146149147142137136141141145143143145143147148144145147147147133134133137135136136135134134133138138142142142141137128128128129129129127125127128128128128128127126125121119119118118119122127126131132133135139142143145147148152155159160158159159157156156157157158157157159158157159158153147148144140140144146147145145143144143144146146147149148147146148147147145145144146146146146145146147141150150146148153154151150150151153153151152153152152157160165156159161157154157166166160151154157155153154157157158168166166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218220999999217222999999999999999999999999999999999999999999999999999999999999999999185184182184187179178176176180180179179180178180181182185184184183191191195195195195193192192193194193193197196196195197194197200202201204203205203203201202206208209210215216218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168170163164165160155156156149148151149145148143134135137143145146146148152153155147160153154154150152168177182185189189187185188188186188188189190188185188187187183179181177178177177175176175176178180179179180176179179184183181182183183180184182181183186191187185187189192195197199200202201201198198197198199197198198195194195195195193193192191189188189189189189189190189187188186184183184188180183184180179180180179175175175177174175180180181182183183180178176173167155152150147149147148150148148148149150151149148151150150148150150146145148143147143144145147148146146142146147150149147145136138140136135134135135134135134135136136143140135129129128127131129125131129128128128127126124124120122122122123123124124126129133133134139144146148152156160162162161161159159158157157157158157158158159158159159160160152148150145140141148148147147142142141140145146147148147147147149152150149147147148146146150147150150150152148150152154155154153155158158157158159159161160160160161158158158157157158163165163153156156153154155158162174165165164164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217223217214211213218999999999999999999999999999999999999999999999999999999999192187185182181182182186185181184178176173178177178177180181183182183183186191193192191191191192192193194192196197197195194196196194197201201203203204205202201202202207208212210213213219220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162167166163160158156155152151147147147148145145141141142138151155155156163160152154155155156168153154154170182186188190187185185187188188189189189190188188188187186183178178180179179182177178178181181180181183182181176180186184184183184183185185185186184187189188189189192196199201202202205203202202198196194194195195195193193194195194194194193193192191192190189189189189190190190185190194188194192191190188188187182183180178185186185185184182182183182180180177178176162157155155154155152151150152152151153151153154154154151151150151147149151149149140141143143143143146141147150148150149141142137136141141140138140137138138137137141140142140135138138135134132130128128126127128126126129125124121124125126125125129130130131134136133139143147147164165165164162161160159158158157157157157157157155156157156161160161153151149144140146147146144144146144143144150151144147147147147151149150148149149157154155155154152153151153153155155156157157157158159160159162165165166167164167161164163161161160160159163159159157156155157161160164167167166166166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223216999209206208209210999999999999999999999999999999999999999999999999999999187187187185184185179184179178176179176176177180180180181183184183183185184191194193192194191193193192193193196197197199195197196196198195198202205205206205205204204205208209214211215217222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163178171999999999999166158165162161160160156154154155159150148148146147149147147135147149150154156156161160158158160159161163164163158161170180183187190186187185189190189190189189189189189187187184179184184185185182183182186183185184184186189186186180181183183186184184184187187186188187190190193195194196197201203203202203203204202200195193191192193192192189193194194193192191193194193194190190191191192192192188188188194194194193191191190189192189182185187189188186186187185184184183181176176174172168165159157160159155152153154158157156157158160160158158156154152151151152147148146142143144149148144151150150152146144138133143140143140144144146139140140142139139139140140136141140139135130130129127125127122125125124127127128130130131131133132136128129131136137144153158157160158163161160159159159158158159158158157156155156157158161161161159155153152143138144144144146147148147148149148145146146151152152157149153153153154157156157160162162154154155156156159160162159156157160163165166167167166165169165165165164163163161160161161163160165164164162164167168170168172170168 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225218205205203201202203203205204999999211999999999999999999999999999999188188192188187188188191194190181178182184186187184181181181180181179185187185185187194194192193193195192191192194193194196197199196197196197197200200203208207207207207206205206208210215217217220222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175165165170170163161157157156154161161157153150147155158156156153149148148150148146147148150152148160163160163161159163157164165165168170168170172176179183187188188191191191191192192188189188188187187182186186185186187187186186186186188190191193194195193192189192189188187187189189190190191192192196196196199202201205206207206207203201197196193192192192192193192189189193194194193193194194193193191190190192193191192191192189192191192192191190191190190189188186186187185187186185183184183182178175175175174170168165162161158157154156158160160158161160162162161162162160157157152155150150149148143150151150147151146148153148149142137137138144148142141143142144144144142141143140138140134134139134133135129128127125121125124126129129131132135136136135133137133134132134147155163163164159162160160160159158159158157157157157157157156156155158161162163161159157153145138138140145145144147147148149148146152153153161153155150151152153151151152154159162163158157163158165158159161160160162167167167168167167168167166166166168164165164164163162164163163162161157162163163169171171171171171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219220210200202201202202202201201202204204207207209200999999999194189189187188189188188187188186188189185184184186190193193191185183181182184181185185185186188193195194194194193195194194194196197198198199199197196195196200201206210209207208208208206206207212212215217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175171171165174167168170168165166166166164162160155151154153153151145150154153159161163162155160163163163163161161159166162166167169177175177177177180178180192190187190192194194194190188189189187186187188188189187186187190189191191192192195195196196196196198199200198198196193190192192192192191193196196196200205207207208208209206204199196196195193192191194194193193194193194193192191191192190191190188192190191191190190190191188186188188190191190190190190188186185184184186183184182181179178177176176176174171167167165163160160159157160159161160162164162165163163163162158156152150149149150147149150150150153151143146148144146145138144142146143142141143144145146142145144143140139137142143137135138133134135131131129131126126128129131133136136138139137136133138141135145164163156161161160159160159158157157157157158158158158157157158157158160163162160157157152146139139140142145147146148148152152152153154156150149148150151159154153152155154165165166162162164165163158159163163164167170168173174172170170168169170170168166165167165163162163163162164164169168163164165167173174173176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215214999999999221220205205202201201203203201201200201200201203203203198196195194194191192192195196194191192194197191191189189192196199198196191186186186185185186183186184188190193197196196195195195194195196196198200200197197199198196198202202204205206208208208208208211212210999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186184172175171165166165172176174177175167178170174166167165164156156155153147153157156159160161158160167168168167170177175177178178167172172182180181187185187185186189189188190195197197194192190193190188189190191189192187189190191191194193194195196196200200200200200200202203204202202195195195195195200198199198199204207209209209209209208205200198196194193192193196194194193194188188188189191188191190192192189193186192191191191191191188188192192193192190189188187187186186186186184180182182181180176176176176175175172169166168165164162160162162162163163164164167166166166165161156159153148150150143140148148147150146146147147146144145144143145143142141141141145144146147145145148143148142140138140143144138135136132133132133133129127128136134137138140140138137138140140144149161163163163161163161161161159158158158158158158158158159158158160159161162163162160160152153149141139141148149151150152152152151151147149150150151152150152155157160161158160168160161167167168166164165166168165166172172173173176171172171173171170170171169167167164164166165165167168168171167167174168176177178178175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217220219221217211204204201200202202202203203202200199198199200199198198198197198203202203205206203200198199200202205204198199199199197194192191190188184184188188187189188189194198198197197196196196198197200197198198199199199200198200200201203203206207208208209210213213999999999999999999215217218999999999999999999999210211213214214999999999999999999999999999999999999999999999999175182182176174169171168167175182180179179178177175172171175167165160158156156154156161159160162163165164164165162175175171174174181178176174185174190186192191192191193192194193193195199198196193194194194194192192191194191192191191191191194195198197196199199200201203204203207207206207206204203204208202203204202203204206208210210210210210209206201198197195193193195197196194190189189187187191192190192191192192192191189189191190191192190191188189192193193193191189188186186185188184182184181181180177180175176173173174174171168166168167167167167167164165162165166166165165167165164159156156155152144144146148150146149146146148145142143142142147143143142141142143145148150151145150144145144149149145148148143141137135132131136137132132132136137135140141141139138140141143142146150160160162165163163163163160154153154159159158160160159158159158159160161162163162161161154151153148146146149151151152153152153146149150151153151153154154155157158158159159163162164161162162166167166166167167167172173170170173173174174174174174173173173169168167166167169170169169178169175179175173175176177175176178 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222219218217211208205202201201202203204205204203204203199199200200201201201203201202205206209210210209211206204206207205203202201200197196196193191185182182185185185189188192194197196196195197196196197197199198199200198197200199199199195196197203208209208208212214216217216999999999999999213212212210999999999999207207208207207209211212213999999999999999999999999999999999999999181181180177175172179174176177174178172178178176176181179176178176174173167166158163160159159160166163161164165165168174171170171177176177168180180183185185187192195196195193194194196198200199197195196195196193195195195195195194196196194195197199200203203204204204207211212213217217218218214213211208207207207209210205206207208209211210210210210206203201198197197197197197196195192188188187190191192193193194196194192189190189185187190189187188187185190189193191192191189186185191189181185184180185178179178177176176174173175172165169169168167169169169168167168169169171171167168167165162158158156150150150149152150152152149145144142144142141140153149147144144143148141150149144150150150147146145147145146144142139137138134131133134133133136137134137134138140136131132142143144146149156158161166165165165164156161163162163165161160158157159159159158159160162163161160159159154154147145148151145147156156157152152153153153160157157156159158161161162163162161165164161161167167165166166168173172173176174174174174175176175174173173172171171171168168168170184184172176172176172175178178178178177177177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222220216213210208210211210206204204204206207207208207207205206207207206209210210210207209209209208214210212211207207209207206205206204201200197194193190183185187184187188189192193194193193194195194199195198202200203203203197197199202194194193196203210210210209214217220216999999999999999211213216213213214999211207208206205204205205205206209212216999999999999999999999999999999999186179177172172179186183186185181184187189185189192186184180181180180176172174156160162162163162166163164165165170171175175175175185179181181182181182183185187189194193194194193193199204199198197197198197197195198198198198196195196194199197199199200203203204205208214214216220220220222222222219218214213218212212209211210210210210211210211211206206203201195195197196196196193189190186188190192193194194194196194192188187184187183187185184179180180185188191193193192194192189188188187187188185182182180177177178181179181175174173169170167168167171171171171170171171169170170167165166162161160158154152150152153156154155152150149144147145144151148151150147144147145149153155152144145149149147147148148147147147142142141139137136135134134135138136135139141142138137136142142144146149152155160164168167166165165160163163167165165161161160160159160162161162164164162165164162160157156150151152152154153153152155154156157159158166166166169167166166164163163163163163165163161162162164166169175174174176179174174175176177176177176172171173174172171166177169178181187173174174173177176179179179178177178181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224224226225217214214212211211211212211211210210209209207207208208208208207209209209210209210209211213212212213213212211211211211210208206206204203202200199197193191189187187187190190193193192191193194197196197198198200199199198199198198197198197194194194203210213211213215217218227999999999999999213214214215215214213211210208205203202202203205204205207211215212209999999999999999999999181177173171175180188191192188191187192194194193196195194193191192187182181181178166165165165166165164164167166166170173179180179178189193187187184185182183185189191193201191193195196198201200202200198199198197201197200201200196196196197200202202203204204206210212216220221223224224224225225223223222221217219214212211213212211212210212211211211210208201198201198197196196190190188187188190192192194195195196194191189186187187189185187182182180179179180184188191190183191191187187190189193188185184183180176175178178175178176175175175171170170171171172172169169170169169170169170167169167164161160155154152152155157158155154150148150149147144154150148145142139137142145155155152152148144147145146147148148148148147147144145142139137140142142142141138139142143141141140143146145149151158162162162165169168166165165165167164165166165163162164165165165165164163163165163163161160157157156155155156158157154159157158160162166169172175174174173173172170168167165162163163163165164164164168170171172173175174174175175174180176175174173183182188180179179169177177170174174175174176175176178179177175173182180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222219223223222220218217216215216215214216215214214213211208207209209210211210212211211214214213211213217217215215214215215214214213212211209207206205205203202199199196194193192192193193194192191193194195195195196197198197199197195195196195196197195192191195206210211210211999217218224227999999999999999999216216214214212211209208208204204203204203205207209208209207208208203999999999999999180175179180187187194196193191191192194196199198203200200199199198201195184180183178179171168167167166168167170177172185183190185184195196196189194188186181188193195198199199198198198200204203203201200197198198202203200200201200200199199199205207207209210213214217220223226226225223226226223224223222223224221220219217214214213213212212211210211211210205199198199197193190185185187187189191192194196196194192190188186184187186185182180182182182180179183184190191190190192196196195193194193188185181180179176174176175174175175175176175174174171172172175170171169169170170170165168167166168163162157157156155154156158158156156154153153151157150150154152151144140138145152149154156153145144143149147147147149151152150149147146150147143144143143143145146145142144144142144145150152152154159161162167171170167168166166166170166167167168168167164166166166164164165165164162160160162160162163158160163157161162161163167170173174175177175175174173174174174173171169170168167170168168167168169168168170171172172172176178180179177177192189188188190187186187186181188188172171172174177178179181177180178176179187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221220219220221222222220219219218217217217216219219220218216216215213213211214215217216215215216218219217217217216216216217217216217216215214214213209210208206209205203201200197196195195193191192191190191193194194195196197198196199196196196197195193193191188189197208211211213213214218222221223226227999999999999999999999213211212211211211209207206206205206206206209207207208208207203200208999999177180180181183196194196196194195197198199201202202202202202200198202203199193188185188181172172174173176172174181184186189192189190191192192191188188183186189194201202201202201201202201203203204202203198199201198199202202202201202203206207209208211211214218222222226225228228227224225225223223226226225224224222223222218217214214212212210216215214209208205203201197194189189189191192193197197200196193191190192188186185187185184184185182182182184181184185189190189194195196197200196197197189187182180179175176177175172174174174174174175175175175176174174175173170171168168167167168168168168167163161159162162159160156156157155156154157152158152154151147149140141147147148148150150150145144146148148152156161164165162156153154153153149148147145146148146146146146146145148152159160161160161164173175175169169170170168172166167168168167167167168166165164166166166166163166165163164164165166166164164168170174173174174174176178178177179175175173179177177176175175178176175174172173173170172172169171174175175177177180177187180192185184183189187187184185188189172173173173176177177177194189185184192192190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225221221220220221220221221221221221219218220219219220221218218218219218218212217219219219219218219220220220218216217218217217218218218218216215215214213211210209207205203203201200198195194194192194194194196197198199196197197198199199196195195195195195194194190192198208213213215218218218220220223224227999999999999999999999999216212213215209211208206206205206206210210210208206209210209203202198192184182179189191194197194195196198202202204205205205210210210209209210209209205202196187184183180179184182187192192194192191191191193194194195195183184193197202206206207204204205204206201203204203203203200202201201201201203204203204207210211212212212214219223226227228226226228225223222226220223223223223223223222223222222219218213214212214215216213209207203206206204191191196194195195194195198199199190191189188188186185184186183185184183184180182183185188187192194193194195194195194193190190187186181179178176176175174174174176174177177178175174173173169176173169170168168168167167165170168167167164164164164163159158158160157156154151152149150149148147146145143146145150149149149150145147147149154161168170172174174168173169165162159157157155153153150149147151151151155156159163161162165167176178176172171171170169168169169169169170168168167166166165169165167166166163165164165166170173172173171175176175177178177177179179178181179179177179180181181180177182182180180177176176175173173173173173173177178180178181179195191191189188190190184184189191190189187181180180175175194202197200196193193191190 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223223221220222224224223222220220219218218218218217218221221222220221220219218218221222221221222221222221223221221219219218218219219219219217217217215213213211211208205203201199199198197195195194193193193195196198197196196196194194193193192192194192193194195195197205209213215217217218218218218220222226999999999999999999999999999999999209207208210207208208209211211211213211210211210207205202199193189191187187194193204198198199201205207210211211208212211211213213213213212211209208204201195189184186185194202203196195203199197196195196196195194194199207206208209212209207207209206206208203204205205206203206207206206208208210206211213215216215218222224226228230231228230226225222220220225222222221222221222223223222219221216215212210212215211206204197202201199199197194196192193192193198196194196198189185190190189186186185185185184182185186188187187189189192193193193192193194193191190189186185183182180177178177176177176175174177175174175179176177175174172169169168168164168166166167166166164163167165165164163160158156156156154152156152151151150148148147146146146147146150149151149151152155160164167169169168165172178180177173170172170162161160157156158157158159161162163163164166170171174179177175170170170171170171173174169169167167169168170170167167165164162164167167171172174176175176174175176179179183182180181181180181183182182182184181184183177178178177177176174176177175174173173175176179179179179179189187191191190178188187191189193190191190188186186186174193196200191190193194194193188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224223221222223224224225224222221221220220219219219219218219217219221221222220219218219221222224223224224224223223223222220220221221221220221220219218218216214213212210207204202200199199200199198196196194194194195195195196196197193191192188188191190190191192194195196198203207214216219220221218217216220222225999999999999999224223999999999208209210209212212213213211215215214214213212211211209205202198199194185189191194198202201205207207208209211218216216215215215214214216214216215214212212209206208202197186192206200202203209208207206205205205195197196206210209210209210210209209208209208202203205206206208209208209209205207211214210215214217219219223225228227229232232231230226224221221221221222221221222222221223223220220218216216215215212214213211204200204207202197195194196198197198201197191193199196193189194190189187188187187186183184186188188188190187191191194195197196198198201197192192193192188187190191187191186187186184182181182182180177177178177175172172171169169165163162166168167167168166170168164167166161158158157156154154154154153152151151151149148147146146148150149152152155159162165167169171172173175175179184178179182182180174171170166164165165164165165166166166168170172170170175178177174175172171174174176176172173171168169169169168168167164165168169171173175176177177176176178176179182181182184182181183184183184187187186182185187184182181181179183181180180181178179175177176178179180180181181193192193193180177194194194189193193191189187184180187194191188188192192197198196195189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223222222222222224225224223222221221221220219220219221219221218218219220222221220220220220220223223223223223223221222222224224223224223224224223221220220220219217215213210208203201199201200200200199202195194192192193195196196197196195192195194193192190188187191191192198198205205216217221222224228225223224225999999999999221220221227231232230227227225227224216215215214214216216216214212211211209209204196194193199200196201202204210209212211210210210211213214215215214214215215215214214213211210208205203200198201195201197200203204205203206208203200200204206208210211213209209210210214211211204203204205208209208208209210208209210211213212214215218219217222224225226227228227227223224222222219221221222222220225228225225221220219218217219217219216210211212206205201207201201196195200203199201201200193196196197191189189189187191187188186186184184189190193192188191190194196196200203210214210209207208208207203205207205198199196198199196194195195193190180182176177177174172172171171168167167166167172171168168173174172172168167165163157157157155157158155155155153152151152151152152152153155155158162164165169171176180183183183188187189190192193190185182179177176175174173172172171172172169172173174172172175179179179174174175175177177176175173173172170170170169170171175174174175177175174175175174175179180184183184185185187185187186191190192191193192188189191188183187185186184186188179182180178179180181194196197185183181195191194187177178191191179177188188188188186199193185183183196200199201201199190193191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223223223225225225224223222222222221221220220220221222222220220220220220221221219222221221222223222223223222222223223224223224224223224224223221222220220219216216215211209207205203203202201201201199200198196196194195194195195201196195195194189190192192193194193195198199202203209215218223225228228226227228999999999999220226235236234230227224220221221221218217214215215215214214214214212212210209204199195207204205204206206211215211212216215214213214214214218217217217217218218217215213214213216214212211207201199202199206207208209209210209206207205208210211212212213210210209214216212212212214206210210209207209210211210210210217214214215217219221221225227227227227228230228225225224224224223222221220219221224225225224219217219216219221224217215211211211209206206204201201202202204203203203201196198199198196196189198189192188188188188188187190193194194189192200195195198209206215213214214217218217213212214207207206208208209209207207205202201198194191183178175174172173171171169172170172173172172170177174176176176174171167165161161161158160160158158157155155156155154155157157158159160163168171175178183185189191189192192194194195195195193192189187185184182181180178177178176174173175177177179178176179180181177179178176176176177176175175174173173171173174174179179177178178176174177175178178182185186186187191192194189193196198196198198199197197195193190189191185188191190192182184182182181182181196194196185183179197194195196180180180190191190190189187198200201201199204197196201199201198194193195193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224222224224226225225225223221224223222223224223221225225222223222219221221221220219220221222222223223222223222223223223224224225226225225225225224223221220219219219218218216214211209208207205207204203201201199198195198196197197197197195196197195192196195194194194196194197200205211218224225225227227225227228227999999225238241240237236999999999219219217219218216215216218218215214214213213213211208205199198205206206208210211213215216217216214214213216215217217217217217217217216218217217215215215215215212213210208210202204207211214212211211209208209209211211213210212212210212214212213217215216213212211210210211213215215212213215221222218223221223224229225228227226226230228225221219221222221222221224224226223223224223224222222223222220214215214212212212209209206205205204204204204205205205205203200201199198199200201199198196195191195188189195192189198196196193199207212214211209216219219220221222218217210208207209210211210212211210205202200200198194194183179177175174176175172172172175179176177175180181179181180179177173173171166165167164163163161159159160159160159161162163164167170172177184187189191193194197196197196197198197198197198195193192192186184186185184183184182180178179182183185185182182183184185180178179178178178176177177176176176176177179180180181179180179179179177180181183185188188191195195196199197198197197199200198199198196194196196194195198199199188188189184185192184184184183182181183183183195197195200202194195194194193199195193201203188190198197200201202203202202201201200191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224224225225224224223222222224224226226226221223222225226226223221223223223221223222222223224224224223222225222224222224224225226226225224225225225222221220220220220219219220217215213212210208206205202202201199200197199201203203202200202199198197199197193194192193196203212219222223226226226226226226226227229230235240237235236236999999999999999999217218218216221218218219216209215217218209210208208208208206208212208217215212212212210212209214215215210213213215214214213214213214211212213213212212212211211209208205201201203210212212211209210212213214213212211211211213213213214214216216215215215213211210214217213214211213213214215217218227230226227229228227232233231228225225223223222220223222222224226226224223223222225225222223221222222222213210211212209208207207204205205205205203206203205201200200202202203203203198197196196196194196196197197201196196199198204211213209210213215218219219221223220217211211208208208211212212213212208205203203200198194190189180178176175174176176175181181182182182183184185185184184184182177177175175173172169165162162162163163163164166167168170173179187188191191192193196196197197195195195196196197199198197196196195191189189189189192190186185185186188188187189190188186186188186182181178177179179178179177177178179179177178178179179178178182180186183183185186190192194195197199198198197198199200201201198198198193192194199193191193193192189190189188187187185185184185185181184181194204197198210196197196199198191197200207207200192197199201202201201202204203202198193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221224226227225225224223223224225225227228224224226225226225225225223223223221223224225224227228227227227224223223225225226225226227227226224224223223223221220220220221221221221221220219218213211209206205204203202202201200203202203200202200200199198198198200199198202209215217222225226226226225225226229228229230235240237234233233235999999999999999999218219217218218219216217216211212216217210209209203207207203209212215214215222221216216218215216215216217216216217216216217216215216216215216216216216217215215214212210216213214214212209210212215217217214213212214213213214214215216214214215214214215214215216217219221216217213216216217218223225229232230231234233235234232229225226224224221222223222226227225225224220220223225223224222220221219219214218218213211212209207206204204202205206206207206204206206207205205205206204204200200200200201200200202198198197200203201208209211212213215216215217220222218217213211208209212216210213214212211209207205203206203198192184180179178178176176181181185185185185188191192193191190192191186185183180181179176171168165164164166167168169171173178182186189193194193194194194194196195196196196196196197198199199199199197193190193190192190191190190189189193191191190191188188189189188185181179177177178178180178179182183182180178181181181179180180181181181186188187192195193195195199199199198200200201200201200200196194193193195195194195195194192187188184187187186185186187187187187187187212211195194196199201200202198204201202197201198200198202201201200202205200200196195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220222225225225226224223223225226228226226223224223221223225225221226224224223222225227227229230229228230228227226227226227228228229226225226223225222223221222222222223223223223222220220218217214213209207206204202201205206204204204205206205203201201202203202203204213217221224222225227227228230232231232233234238242243999999999999233231231235234237999219218219220219219219218215214214214215211210207206209207210212215216219216221218216216216216216216217218217217216214214215216215215213214215214214215216216216216214212212215215213212209211216218217217216217216214215212214214214215214214216214215215218218219219221221217217214215221217222223228233232232235236234234232230228227222223224221219223220226225224222221222223222223224219220220221222223222221215216222220211209207204202206207203208208200201206206205206206207208206205204202206206203206206206204203204203206207209208210211211211211215217223220217217214213213214216217220218215218216221221212215208206202197189184179177178178176179182184185184186188191190193195195193193190189190185183183183181174172169169170171171172178184190191193194195195194194194193192194193194193194195195196197197198198199200198196195199198196192192192191195195195194194193190189189189190188185177175177183184184180184182179180181183183183182182182183183186187187186192194199197198199199199199200201204200200203197200196195199198197196197196196194195190190189190188189188200189192194192201202213213206206203203201202199205205209197196197198199199199200203204204206205203199200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221222222223224221220218223224227227227225223223224222226222225224226226227227226227227225226230230229228228227228228228227228228225225226225224223222222223224223223223223222221220218218217216215212211211210209209212209210208207209208211207205205210207206210212219221223225228228231230230232234233233236235237242246999999999999232233232233234223999214217220221217220219218215213214214216216209214208211213213215216216222223221219219216217219217217217218216216217215214214216215214214215215215215214213215216214215215214215217216212212216218217216217218216217214214213210215212214213213214215215220217217218220218221223222221220222221221225229231231233237236236234232227225225225223223223221222224223225222221223223223223224221221219220216216215215221219215215214213210211205205207204204204205204203206206206206206206208209209206206203204201208206207207207205205207207208209208208210211212214216218218219215217214214214216219215217221222224221221220220211208204201195192182177182178180182180184187188189192193196197196197197197196193193191187187187184180179177175174176177181188193196196195194197196195195192192193193194194193194194194196197197198198199200199198198200197197194191194195196195196195196193192191190192192189185182181182184181184184185179179180180183181180182184185186186187187189192193195198201200200200199199201202199199198198198198200204204203199196196196195193193194195192191189189200202196195193194194203210206206203209210202209206203201200204203201201201201201201203207208207206204205203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218217219219222221220219218221222226227225224222223226227222224224225226226227228227227226224229228227228229229229228226227226228229227226225225224224223224225224223223223223221219218217217217219217211218219220215213213212212212216215214213215213214211207213214224226226228230232233234234235236235233234235237236245248999999999999234236999236237999999219218219219219220220219216214213214216217220222213218217218222219220223219218216219214217215213213215215212212212212211209209209210209212213213214215210213212211213214214215215216214216219218215216220220219218213215212212214214215214214215219217220219219218218220221223220223224222225221225228231232234233233234233231227225224222223224222223221222223223223223222218218218217217220215214215218216213216218217216210212213210205201204198199197199205204208207207210209209205206208209206202199198204206204206207206206206197197205197202208211212213214215216217218217216218220220223224225221222224223227225221217211207204199198184178178179180183185185186185191192196199198197197198198198197196191191187187186184183182182181181185190194195196197198198198198196194193194193194193195194195195196197197198198198199200202200202202200197195193194196196195196195196194194191193192191189188184183183184181181182181181181181180181183184185186187186188188191192192191195198201203202201200199200197198197198198199201201204203205204197199198197197195193194200192202203203204206206208210210208211211208212209207208210210204206206209206206205205204205209209209210211208208209207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276276276275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216216219221224219215218219222226225227224224230229225223222223225225225225229225227229227225227226224225226228227226226226225228227228226226226227227226226225226223223223221219217216214216218218217217218219220220219220221218219219218216213214209217215211215218225229231232229232236236236237238236236238241243244245247999999999999999999999999999999999219219219221221221221220221215212214223217229218218219217219221226230219225226223224220220219219219219219218219218217217216215214215213214214215216215215215218214215215217218218217218220217220218219220219218218216216215214215215215216217218218215216220217218221222223222222226222223223226229232231232233237238237233232229227224223221223222223221221222222221221221220216217217218216215210215216215217216215213215213209211211210205204206202200199205206209208207207209207209206206208210210206203207203202208208206205202203202203197204210212212215215217218216219217218218220221221221221226227226222227226224221213205204202195191180180179182184186186189190194198198201201201200199200199197198195194189189188185185186185186189192195196195197198199199199201196194195194194196195196196195196196197198198197198202202205203200200199200197196197197197197198198197199196193193191193190192187185185185181182184185186185182182185186185186186187186187190189191193195196199204205204202200199201199199199202203203205204205208209208199198197198196195195194203203203205205208209209210211211213214206215212213213213206209209209212210209209208209209213212211210211213213212212210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272273272272273274271272272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220219218217220222222219218219220228229230228228231228230226227228224225227226226226226227226224226227225223225225226228224226228226228227228228227226227228228228227227224225223221217215217217217218218217218218219221221221221222223221222220218218214217216217218220220222228230228230237236238240240240238243242246244999999999999999999999999999999999999999999220222223224224227224226223221217218220215223221221224223224220227227226227225225224220221219220222221220220219221219217216216215214216216215216216214215218212216215218215218217222220219216218219221222221220220217217218217217216218217216218218217217220221223224223224223225225221223225226229231231232231235237237235231228226226223220218220218219221221220218220219220219217218216216216216217215218217220218218216215216216213212208208208209204202203207208211211210210208209208206204207208209206205202207205206206204202205204202202205208213213213213217216216219218220219220220224219225228229230227230227222218210205207202197195189181186184187188188192194197199200202202202203203201203201198196196193191192190192190193192195196195195198199199198200201200199197197196197197197197197196196198198199200200201204203201200197199198198198199198198198198199200199200197194193193193193192189187186184182183189188188188185184186186189189189186188188189190192195198199199203205206204204207207204203207203205203205205205203203201200200199206208197197198206206207206207208208213214211203212210209211219211212212212213216211214211212214212215215215215214213213214213213213211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267270272271271270271271272271271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220219220217218220221221224225224221221224225225226225224226222226226226227228227224224227227226228227226227226223224223221223226226228225224226227227229225227227227228227227227227225221223224220220219219217218216220222222221221222221222223224224222222219220217217218220219222226229229229234236234237238242240244245247247999999999999999999999999999999999999999999999224222222223224225227226225226221222224226221225224224226226224227227226222223213220219221221218218219219217218217216216215214214211212214213214213213214213214213214215214218217222222220224221222223225223222219221222221218219220221217216216217220220221222224224224226227228227223226227228227230231231235237235233234233232226226225222221221223222224221221222221220220220219217216216218210216219222219218219218216216215216211210213207207207207207206205207211211209209208206205206203207203209208206207202204203205206205207203198200202206210215211210216216217217218219218219218220224227229229230225225227218214210208210205203198191187183187186188189191194197201202203201201204204204201202199200198194196194197194191194196198199197198199202201202201202201198199199198199199199198198198199198199200201202202204203202202201202198200199201200199198198199200200197194193194193192193191190188187189190194192192189189191188187193192193192190191191193195198199199202203205207208208207209208205206206203205203203205204202202202206206205201207207206205207207207208209210210216217213212215216217214215217219220218216220215218216216216215219218216216216215215214211214212212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269266264264269269268267268269271270270270270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222220217217218222225226224226225223226226222221220223223224224227226226228228228225225228228229227226225228228227226224223222223227228229227229228227229228228228227227228227230230229225222222222225225226225225221223223223225225225223223225224224223224225223221221219221221225223230233230232236237237241242243244247248247243999999999999999999999999999999999999999999999999222222223223230232231225222226228229222225221229229226227226225220220223226226226227224225225225223223223223221222222221220220218217217216215215215216215222217222216212225227223227225224225224226228227224223224223223223224222217218219220221222223224225229228228227226226225227229229229226235235235235230232232234228227226224224221223223223221222219220222221220220217219218221215218220223221221221220219218215213213211214213208209207208206207208206210211210205207206206206207204205204209207208208204204204209203202202201200198204207210211213220216217218219217217218221223223225228229228223224222218213208208208208206203196188183188189190193193195200202203203203203201204203202200202204202200197192197195194196199198199201202202201202203202202198200199199198199200200200201201200201202203202201201203203203200200199197197198197198198198199197199197196196195196192195195196193190192193191191192193192195197191194196199192190193191197198200201201201204206206208210212209209207205201205205204205209208207206205206206205205207210210210209206208204211212214215217217219220222219221218220221221222220220219220222217218221220220220220219219218216215215215214212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266259259260262265265264264264264266266266268266268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223223221220218218222225225226225222225225226225222220223226223223226225227227223226228227226226226227227226226227228228227225223222224226228229228225230225226224226228227226226222225225229227226224224226226228228225226226225225226226227225226227226227226226226224225224224224227228229231231233233237239237241244246246248249249246999999999999999999999999999999999999999999999999999219221222228232234230227228228226224221228233230228225223224229229229227226227222225223224225226224221223224223221221223221220219219218219217217220221224220221221212225222223224227227226226227229229227226228228228226227224219220220221223223225228229230231231227227228229230230230230235237239240235235234236233231227227225225225222220220222222220221220217221222217219220222220225224222222219218219220220212210210213210209209209209209207207205206207208207203205206207204199209209203201205205201201207211212207207205203202204205205210211218215215216217218219219220221222222225226230229228226220219212210210208214205206202193187190188190192194196198202202202201201204201200203203204204204205201201199198198200201203201202203202201203201199200198200200200199200201201201200200200199201200200200200201202199199199198198197197199197199199198197197194194196195195194196196196194193196195195199198196198199199199200200196197200198198199200201201205205205206206207210213211208209208207207208208208208207205206206206205204206209212202209208209210210213213218219222224226224220219223220223225223223223224226222222225224224225223224222222221219220218218216214215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258259260261260261261261260261261263264267267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225225225225225223223224225224224224223219221223224224223224227223224226226224223227223225228228226225225225224220224227226227227226224223222226228228229224230227230228229227227226225228228229228227226225227228225226227227232228227227227228228227227227225230226227226227227228228229229229233231234235235235239240242245247249250250249247999999999999999999999999999999999999999999999999999999218223226229233231227228224226226224220232226225226227227226224222222225225226224225227226226223222221225224223223224223223222220219215216217220227222222224217219224224225224228228230230227228231231229226225230228226222219220222224225228229229231231230231230230229229228228231236237238238235236236234233233232229227225227226223222224223220218218217220219220220213218217217219220221215213212210215215213211210211212211210209207208209208209210208206206211211213210210209205206207207201202204200200213210210207204206203205205207207215220216215216217219219220221221221220222225223225227225221217214215216216215213207205195190190191191191197199201203203203203204204203201204201202203200201200200199202199200200203203203203203205203202201200199200200200200200201200199199200201201201198198198199199203198199200200199201200199201198198197197198197198199199197197198197196195198200201202202203203205208207207210207209210206207205204204206205205206207207207207210213211210209208208209209209211208205205206207206205206204204209210211208209211212218217221219218221219220218219223223226225223225222222225225227227228228227224223224222224221221220217215215216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255252257260260262263262261260258257256258263265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226226228228226225226228227225223225223224221224229225224225221224223223223225225227227223227230227227223224222222226225226226225226223227227225225225227228229230228228227226226226227226230229229228228228229231231231230230230228228228229229229230226227226230228228228226231233234234234232232232233234235236235238239241243247252247250251249999999999999999999999999999999999999999999999999999999220223225227232229225230227226227226226227223225223222221220221221221221219225223221224221226226224224227225224224222221222222219218216216219219219216220219219223224224224227230229231232231233235234232229229230229226229226226226226228229231231231231233233233232231231231234235237237236235235236235234232233231230231227225225223221221222220219218218217216214215213218217213218218214212212214210207212214212210210212212207207207209211213212211211210214215209214207213202209206211205205204206210211211212211205207207208206204207210218214218216218218218220220221221218220222227217219222221219217214216215216215212210209202198192192195195195201202204205205203203205205205205204205207207205204202204206202203206205204204205204205203202202201200201202201203202202201200201202203203203205203202203202201200202202205202204205206205203200201204203200202203204201201198199197199203204205206207211214215214217215215213214212215213212211211210209209209210209209210212214213211211211211211210210210208208208207207206205206210210207206207209212219213213215222221228222223223223223224227227226225228229230231231230229229229228226228227225223224223220217215216217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261259251250257260261263262262259257253253256260261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230231230230230229226226229229229227226224221224223228224224221220218220223230229230229225227229230230229226231223227226224224225224222226228230230226227227231232228227227227225226226226230230230229230230231233232231231229230230232235231231231228230230229229231231235234235237236234234235235235234235234233235234237240242244249251248247255254999999999999999999999999999999999999999999999999999999999223226227228225231228230229232229226226232229231230229228229234229234229222226226228228228227228229233232232232232230226224224219217219224225224218225225223225225224225227228229230232234235235232232235234232230229232232231231231231231231230232232233231230228232234235235236238237238236237236235233232230231231230227226226223221221220218219216215217219218220220221223216218212212212212216215214213213214214215215214212211216216213211213212215214214207206209211212210212212211215214213212212211211213210211210206209209205205216217218219218218222220221218219218217219221219219226227225225224218218215219220219218212208202193193194195197203206205204204204204203203203205205206208209206205205204203203205206205205207207205205203202201200199199201203202203202201201202203204204204208208208205203204204207207206207208209208208207206205205205204205206203202201200200204203205207212215215217218219218218217217215213214218216216215214215215214214213211210212215214214214213214213213211211211211210210209210211209209209210209209210211222222214216217225225223224227229229228228227229229231232232231231231231231229229230231230228228225224224220219216219220 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260259257252250249253259260262261261261258254250252258260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234235233231229229230229227228228228229229228227225226225224225223221219217222227225229223229227228229233230232233232228227226224225226224226227225223228230230229232232228229231229228228226227230226230226231234235234233229233232231234231230230232233233233233235236237237237238238237235236236235238237233237236237234236237238241245249253254254255255999999999999999999999999999999999999999999999999999999999227230228227231234233234232230227226227233230231232232229228227228230231232230229228228229230231230234234234233234234230228227225225224223223226222224224226227226227228228229230232235235235233234235234241238235235236237235234234231229230232232232228229232234235230229231235239240239238237235233232233228228229227229225223224223221221221220218216219220225219219218216216216216218215215213214214214213212213213214214213210215213215213212212215215213212212213208213210210214215206205209208208213212206204202206206209210206210215218220218221221221221220220217218218219219220222227227224225224223221221223223222222218211204195192195198200203207208208207203206205205204204207208206204202202203204202206207204204205206206207206202201201200199198201202202202202202203204205206207208211212212212211211209208208207207209208207207207207205206203202204205203204207204205205207211214217219219220219220221220219218218218219220220218219218217218219218217216215213214215214216214214214212212212210211209208208208208209210213212212212213216217230225224221222224230228229231232232233233230232232233232233231232230231232231231232230229228226224224222220218220222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257257256255252251253255257259260261260260259256252250254255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240243241238236234234234233231229229229229228228226228229227225224223222225225223222220217216220223224230230227226227229230232231228227226224224224225229227228228227229229230231233232229229233232232228233230230232233232230233235235233235235229235234235234235234235236236236238238238238240241240238238239239239238239239241241238238239243244241246252257257254999999999999999999999999999999999999999999999999999999999999999999235231237234233231231230229229235234234233232231237236232230230228230232229232232230233233232231234234234234234235233233230233233230225227226226227237231227228227231227228230233236236234236235235242241241240240240240238236235233233232232231233237235235233233234236238238239239238238237236236235227229231225226229224223225224222221225220220220219221223223223219220219219220220216217217211212211212211214211214213210207217213215212212214215215215215216217215215215215213215212216217215212213220213214214208213213211210211215219219219220221222222220219218218223220219225226226228225226225226226227225225223222221216208198194194193199203206208208208207209205209205207213208207207207207204206204205208205205202205205206205205203201200200199202203202204203205206208209210209210213213215217216215214214214214211212210207209207208207205206204208212210209209206208208213217221219220221220221222221221221220220221223223224224224223223223222220220220218215216215216217216215214212211211210209207207207208211213213216217217219220222221224227230228234231231234234233235238237234233234234235234234232231230233230231231231231231229227225225223222222223223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263262260258257259260258254254255256258260262260260254251251251999999999999999999999999999999999999999999999999999999999999999999999999999999244245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240240241240236235234233232233231230228229227226227227226228226224223221221222221221221221220218216224223226225222224225229226226227227226225222224225225226226226227228225230230231232231234230233235235236232231232232233231231234235235235236235235234236236237237237238238238239241241241242244245244241243243243243242242242243244245245244245247246248251254255258258257999999999999999999999999999999999999999999999999999999999999229233237238235233233229229231232232230230228228226229229229229228227225228230230232233233233231233233233233233232234232233235235232231232232231231229232231231232233234237237239240241241241242242238241240240237239239236234238238236232234234235237235234234236238239240239238238239238239237236233233232233228228228227225222223226226223224223223223223223224220222219215217220218218218214212216216215213217213217214212211208210211213215214217218216216216217216216214213208215213217217220220220218214218214212215217215211213217219223223222223222221220219218216221222218223226228229225224230229230230226225223224223218214203196195194199204207208208209209209208208205203206209207206205205204206206204206206204204205205205205205204205202201202202205205206208207208209210212210211214214215215215215216216217217215215212210208208209210206204207213210210212210209210213217220222222224222223223224223222221221223223223223224224224226224225224222223223222218216215217216216214213212211209209208209209210213216215217217222222220222224225227228230232232232233234233235236235236235235235235235235235232230231231232232232231230230229226225226224224225225225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266262261261261260261263262258256256256257260261260255250251253999999999999999999999999999999999999999999999999999999259256258257252254253253251246244249243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246242240240240235233233233233233231232232231231230229228227226227228225221216219216218219218215221219220227227226227222228227225226225227225224222224226225224225226226227228227230230229229231232235234235230236236234233232232230232235236236232237236236237237239240234240240237240241242244244246247247246245246246246246245245244246245246245245248249247249251252254255257257257999999999999999999999999999999999999999999999999999999999233236237237235233229231228235236243230236234236234233233239231233233234231232233232232231230233236235236235236236236235233234234233233231234234236241244239233237237231235239241241242243243242243243244239243239242241238237239234236236238241240240239238239240240240240239238238240239238237235233232236233231231230230227225224224225222223221224223224225225226224224221222220215218217217216218218218214215216215214213212211211209212218215219219219216219220220214215215214219217217218215219218218215216217212221214207205216219220223223225223221219220221218218218220219220224221226227230230230234230228227226226226223217209198195196199203206208206205208208206205206208207206207207206204204206206210206208205206206206208211212208210212207211211214210213215216215213214215215217218215217216218217217216218216216217219217215210209209208208208210212210210211210213217220221223226226225225225225225222221224225224224224225225225225224226225225224224222219217215216217215213212212210209209210210211215216216217219217219222225225228230229230233233233236236234234235236235236236236236236237236235234233232231232232232232231232229227228227226226227227227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270264258258260261261261264264262259258259259260261260254248250254252999999999999999999999999999999999999999999999257257258257255255249245243250249240245244247999250257999999999999999999999999999999999999999999999999999999999999999999999999999999245247243239239235236235235233233233233234233232232231230228227226226224219218216212210214218217214215219220223227225227228229228229227225224229227225223225225226221224224227227227230230231231231233234235235236232236235235234232234235231233237235232238238239240241242243243243244245247245247248247247246247249248249247249246246249248247247247247248249249250252253254255256258259999999999999999999999999999999999999999999999999999999999231235236237235231232232236228241244241242238237241242243242234234232232230232234233233236237235237234235237239240237234231233233235235238235239240243239237239240231239241242243244243243244244241242242245244242238237237239237243243243246241240240241241241241242240239238238239240240239237237237234235233233233234233231222222225224226226225226226227226225225226225224223218219219215217219217218218217217215214215213212212213212213215218218216213214218220221219215222221221219220223219221221219221223222223220214219217216219223226225226227226221222223221223223225226228224227229235232232232233232231230229229228226220216208201201202205207207207206207207202204207209207205206208208207206210213216215209214211213217215215214213212210208209213214217216218219217220217219221222221221223222221221218215216218218219217215217216211208211213209210209209212215217218222224225225227226226226226226224222223224226225225224225224224226226227226226225225223219218216216216214213211212212212212213213215215216217220219219222223227229231234235235236236235237236235235236237237236237237237239236236235234233232232232232231230231230229228229228228228228228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262256254256258259261263264265264262262262262261257255254252999999999999999999999999999999999999999999999258254253253254248247245242235234237239242235236238243244249254252260999253999999999999999999999999999999999999999999999999999999999999999999999244243239238238236235234231232231232233230231230231229227226225224220217218215215215211210213210215221221225225225226225225226224224228228227225225224222225226224225223226229230229231231234234231236234237234237237236236236233237233237240240238232239240240241243244245245246247248248249249247248246249249249249251251251247246249249249249249249249248251253254254254255256259258999999999999999999999999999999999999999999999999999999999999233230227231230234233232234235235237238237233240240239238237238229230231231229229235237233233235232233234229236237236234234238240238241241242241239234237238238239244243245245244244245244245245243243241241241239245244244245242242242242241240241241241242242241240237240240240241242241240239238236235234231235232234230233230230229228227225227228228222227227227225223221221214218219220218216214213214215214213213215216215215214215215216218218217217218218220220215216218219218220224222220219222224216220219223216220216220221224225218228227227224226223223223225228230232233233235237235235233235235234233232230231230226221215209206207207208211211210210210211210213210209204203208212211208213213216216210214213216216217217215215214209209211211215214216220224225222222219221225226227225223222223223219218217216218216215219216212212216216212212210212219218223224224225225226226225226225225225225224224224225226226225226226227225225226225226227226224221218217217216215213212213213214214216216216216216217220221223225228231232234237235236236237235239237235237238238237237237237239239238238236234233232232232232232231231230229228228229229230229230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252251252254256257259261263264263262262262262258254253252251999251999999999999999999999999999999999257255254249244246248238236236234231229229229226230232233238242246252253252246246999999999999999999999999999999999999999999999999999999999999999999242242242240240238235232231230230229231231226229229227227226224225225224220218220220218219216213214216218220222222221222223224223225224227226228226224219225226227227227227231231231232231230230234235236237235238237237237237237238238237241241241241239240241242243243245247248249250249249249249248248248249250249250251250249252251251250251251251251250251254254255256256258258260256999999999999999999999999999999999999999999999999999999999227230227232235235236231236239239239241240243241246251244245249239241233240231232233236234233233232239241239242240241239238243243244242241241240241236240243244242244245245243245244246246246248242243243244244248247246245245245245245244242243242242242243241241239239239241242242240241241242242240238236235235234233235235235234232231228228226228228227227228227228227226226223223220216220219218219219217216216215218218217217217217219220219216219217220217218218217218217221218220220220216221221219222222221216216220220213213218225226227232229230227229225227226228229231233235237238238237232232233234235234235234234235233229219211209211210211211212211212211211211212212208208208210211211212214215216217215217217217217219218216215212214213214215216215216220224225226225224227228227225225226227226226224223218216217217218218216218218217216216215216217221221222225225226225225225226226226226227226224224224225226224225226226227226227226226228227226224222221219216215215215214214216215216216217216217220221224227229230232234235237237236236236238237238239239239240238240241239238239240241238237235233232233232233232231231231230229229229230231231233234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253250250254256259260260262263263263260260261260255253252250247250258267266248999999999999999256257257247242244244241246245243238237239238231226223224224226234235239241247247247247247248999999999999999999999999999999999999999999999999999999999999239240242242242241238232226226227227227227225225225225225226225224224224221220218218216218216217217220219221223223223224224224228225227227225227227226225225226227228228228229231231227227230235235238238240233235239239239238238239233238241241242241241240241242243244245246247249249249250249248250250250250250249250251252249250252251251251251252251252252255255254256257257258261263999999999999999999999999999999999999999999999999999999999224220228234239242242241239240240246245246244248245247249252242238241240238234232233231229233229233240241240244245238238244246245246247245239242241241242244246244244244246246246248247246247246249248248244245247249248245243245245245245246245245243243244243242240239239241243244242243243243246243238235236234236234236234233234234233231230228228226227226225224227227226226225222222219218221222220221221217217220219217220220220217217216212216218217220219219219218218216216214216220222219221218221222220216216220214217218217218217226227229230230230227227229229228229231231235238239239239239236238237238238238236236237237236228224216211212211213211211212213211210211211212212212215214215214218217215217217218220219219218219218216216216214215214216217219218221226227228227229231227227227228227225225226227223220219223222220219218218218218218218217219220222222224225226226225225226226226226227228227225224225224225225225226226226226227226226226226226224223220218216216216219218217216216217217218219221223225229230232232235236237238239237239238238239239242240240240240241240239240240241241239236235234233234233233231232231231231230231231231232233236238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255253254256259261262263264265265265264260258260258254251249247249253261264263999999999999999255249249249242235242244245246241240239241242241235230224220220222226228230234237240240242240248999999999999999999999999999999999999999999999999999999999999243239240243243241236232228227230231228226225227227227226225224219221223218218216217218219219216221220218221222223223226224226228226226227224226226227227227228228227228230233234233232233235238237237232237238239240239240240239240241241242242242241243242243243243244245246247248249249249250250250250250251251250252252251250250249251251251251251253254256257255255258256259261262999999999999999999999999999999999999999999999999999999999999221222231241247249244244244246247247245245249251245245244248248245240243239240231230231241237240238241239240240236242245244247249250249250244244244244244248249246245244246245248249246247248249250245244245248248249248246243246244247246246246246244244243241240240239240241244244244244245248245241238237235235234233233230233233233233233231228228228226227227226228226225222223224221221221223224222223223221219220218221220218219217219216219220220223221219220218218217216220216218216221221226222219221213214220221212220223218219226227228230230233231227226230230231231233233237240242240242240240240240239240241240239239237237233229217213213212212212211213211212212213213216218219219221221221219220222220220220219219221221219218217216217216218218218218220220223227227227228230232230230229229229228229227227226224225226224222221221220220220221219219219222223224224223224225226225225226227228228229228227226223225226226225226225225226226226226225226225224224224222219220220220220219218218218219220222224227230233234234235236237238239240240240241240240240241241240241241242242241241242241241239237236235234234234233232232231231231230232232233234236239241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280280999999999999999273999999255254254256257260261262264263264264264262260259257257256253249247248250257265270999999999999999251250245242240239240242245245243244243245245244243239235230229225218225223224227228228232237239999999999999999999999999999999999999999999999999999999999999999999999238243243241238236233226226226227224226227226227226224222222222222220223217218218220219223221222217217219218221224226228224225226227227227225226228228228227227230234236235236236236239237237237236237237238239240240239239240241243244245245245243246246246245245246246246248248249250250250250251252252253252253252252251252251251251251252254256256256257257257259260260262263999999999999999999999999999999999999999999999999999999999999229229239244249250250251249248246244244249248248248246246245243243244241244241240237236234240242242242242241246246247247249248250247247248248247244244245244245246244246247247251249249248249249247246245248248250250246246245246245246244246242245244245244242241242241243244244244245246246248247242237237237236231231230230231230230229229230229229228228229224228225223225224223224220222221222222224223224222220220221223221221220220221220219219222222223220220218220218216219217219215221224223221219218219221220221220222222224225225228224225231226228226224231228229234235236241240241241241241239239240239239243243240237237237234230220214213214213213211211212212213213217217220225225224226229227225225225227226225224226225224222221220219220222220219220221223225227227226227232233232230230230231231229231228227225226226225224223223223222222220220222223225225225225223224226225226226227228229229229229229227225225226226225225225226226226225225225226227227226225223221222221221220218218218219220221223227229232233234235236237237241239240240240240240240240241241241240241242243244242241241240238237236235234234235233232231232231230231232233234237239241242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280277275276999999272275269270258256255257258260261262263263264265265261261258256255255255250244247248255260267999999999999999242248246242239239238238242244242240246246248247247246244242240238233228224223221225226227231239245999999999999999999999999999999999999999999999999999999999999999999999999999240240238236233230225225225227223225225227227225224223224221220218218220220224226228227225222224224224226225227224223224227226225225224226224225228228228234236236239239238237241241240239240241241241241243243243243243243244245242243247247248248248249249248250249249250250250251252253253252253254253252251250253253252253253255255256256256258257257259261263262262262999999999999999999999999999999999999999999999999999999999225228236246245250250248245246245246247249249248250247253248247248247247240241244246245244245244244244248247249249251251252254253252253252251251251250249252250251251248250252250249250253252246250250249252254254252252250248249248247246249249249249245244244243244244244246246245245246247248249246240241236241238234231230229230230229230230230229228228228227225226226223222223221220221221222223224223224224224224221223223223222221221219224219225221225226222221218219215213221221223224222223226221218221220221220221220221223224224225227228232233233233229226228230231236237238241239241241242241239239238239238240241238237238238235233223215214216215212212212213214215214218220225228231232230229231232231230230231232232231231231229226222220221221220221221222223223226229227227231233233232231230229229230230227226226228229228226226223223223223223224224225225226226226224226227227228228229230230230229229229228227226226226226226226226225224224225225228228228225225223221222223222221219219220220221222224228232233234235236237238240240239239240240241240241241241241241241241244245245243242241239238237236235234233232233232232231231231233234236238239241243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274279277273271270267265258257255256256258259260261262263263263264265264260258255253251252251247243235246999999999999999237241242243243243241238242241240243242240240244247248249248247246245244242239232225220216225227231239247999999999999999999999999999999999999999999999999999999999999999999999999999999999235237240239231225224224226224225224225225228228227225221218223222222223222228228229223225224229228226225226224226224223224223223222225227229230229231236238239240240238241243244242239241243243243243244244244244244241241242245244249249249249250250250250251250250250251252253254254253253253253252252252251252253253256256255255258256258259260258260263266265260999999999999999999999999999999999999999999999999999999999229231233243248251248247245246245248250253251251250250251249251249249241243244246243246244248248241240245248249251252253253255256256256255253248254253253250253253252252252250251251250251253254254251250250254254255255253252249250249248249250250250248248247247248247247247248247247248249250251250250244238241242235236234230230232230229229230231231230230230228226224225224221221224222225227227223224227224224223224222224225225229222227221222227221226228225224221220222223222222218217220216221218219223220221222222222222222223224226228229232234233233234231229230230233235236239242243245245245242240241240241241240240239237238238237234227216216216217215216215215215216219221228231231233233230230231237239236235232233233234235235233232230225224223223223223223225223224226226227229231232233232231229230231230229229231231230229229229226223224224225227226226224224226229228227228229229230231231231231231230230230229228227226228227227228227226226226228226227228228226224223224224223223221221222223223224227230233235236237238239239240239239240240240241241241242242242242242243244245245245243241241239238236235234233233232231231231233234234236239239241243245247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281279278273268265263259255255255257257259260261261262262263264264263264261258254251249251252247240232999999999999999999241244244244245247250248250248247247245245246245248248248247246246247247244238232225224219224228232240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237237234229224225226226226225227228232231229225225224225224224227226223224223226229222229229228220225226222223224225225225224223226228230230232238239234234242241245241243241243243243242244245245245245245245245245244247249249248250251252252252252250252251251253255255255254254253254253253252252254254254256257257255255256258259260260261263263265264265999999999999999999999999999999999999999999999999999999234233233238238243248243247247250251254252251248248250251251252252249247245245245246249249247244245245247251252252253255254254254255256253254253252251251249250250250250248247250250250251251251251250251253252249249253249249249248247247248250252250252250252251252251251251252251251252254252255254252248241240237238236234233231231230230230230229230230230229229228226225223222222227228225228227228228226229226227226226227228230229227227223226223222222222224222221221221219224219218215219219221221220217222221219222223222223224225226228230232231233234234234233232231233234236241240242246247246244241241241241242243241240240240239238237233230217215216218219217217216216218223229232233234235236238238239238242241242239237236235235237237236235233230227226225225225225223223224224227228232231232234232232231231233233233232232231231230229227224224225226227227227228227229228228228229229230230231231232232232231230230231228227226227228228228228227227228228227229229229226226224224225223223222222224224224225227231233235237237238239240239239239240240240241241242242242243243243245244246245245246243242240238237235234233233232232232234235236236238239241243244245247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280281278276272269265263261258257257258261262261262262263263264265265264265262259255252250251252248242239241243243244245245246248248248251252253252252251249249249249248246248247247246247247246245244239235227225223224230234236248228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237236233226224226228231228229229230228228227225225223224223221223226226224224226225224224225225226228228226226227228225228229229229232232235239240242242244246245245239245243246244244244243243245244246246246247247245247250251253252252249250250251253253254254255255255255255255255254254254255255255255256257257257257257259261261261263264265267267999999999999999999999999999999999999999999999999999999999238234235244250251251252251250251252254253250251251253253253254253253253251250250252252251249247251252251255254254253256258259258259254255258257253253255250254253248250250249251251251253252252253253254254253253252252253253251252251252252254256256257252251254255254255256256255256256256259257257253255243242241241236239236236234234235233231232233232232231231229227226226227232233233231233234233232230235232229231232230232232232231231229224225229222221226223223223224221225223222217217218223223223223221223221222223225226226227228232233234233233235235236235235234234236239243245244246247246245244242242242243243242240240239239238237236230221216217219219218218219220222230234236238240243244244244245244247246246245245241240241240238237237238238235229228227226224224224224224225227230232229231231235235233234235235234233232231229229228225225225228226228227229229229229230231230231231233233234233234235234233233232231228227227228228229227227226227226227228228228227228226225224224224224224224225226227229231234236237237238239240239239240241240240241242241243242244243244244246247248247246245243241239238236236234234233234235236237237237238240242244245246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280278275274272270266263262261260260261262263263264263262263264265266265266264262256251247248249247242242243246248251251250249250250249251252252253252251251251251249247246247247246246246246245244242237232228226215224229231237230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239234227227229235233233228228232231230229228229227224224221225222225226227232234235231231231230231232230228229228232233229231233235239241242244246246244244240247244247245245245245245245245246246246246246247244249250251253253253253251254254254254253255255257257257256255256255255256257257257258258259259259258260259262263263263265267268999999999999999999999999999999999999999999999999999999999242241239237245251252252251250250248250254252249248251252252255257255256255256255254254255255255256256257254255255255253257260261261255256254254254253256252251250254249255253253252251252252252250252252253253252252252253252253252252253254255256257260257256257256259259258259258258261259258256253259255253247241241240239238235237236236235235233232234232231230230229228229231232234237233234236238237236236237236234234232234232235235235234231229232227227225224223226227228228227223225226226225225224223222224223224224225227229232233235237237235234234235237237237235236238239240246248249248248247247246243243243242242242242240240239239239237229222217218219219219220221226233237240242244245247246247247250251250250250250250249249248247243243241239238238235231228226226225225225224225225226230230230232236235235234234234235236231230229229230229228227226227228229230230230232232233231234235235235236236237237236237235234232230229228229229230229228228227227227228230230229229229227226226226226226226227228229230231233236237238239240240240240240241241242242242242243243243244244246247249248247247245245242240238237236234234234234235236237239238239242243244245246248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278277276274274272268265262261260261261262263263264262262263265264265265266266263260251247245246246242242245249252253251249250252253254253254254253251250251251251250250248248247248246245245243242240235232225218213217228229250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234228226228233234235235234234233233232231231229230225226226222232232234236233239238231233232233233231231232230229227229226233236242242242244246245244248244246244247247246246246246246247247247246246247245248250251253253254254253254254255254252254256256256256257257256256256257257258259259260261259258259260262260264265266265266268268999999999999999999999999999999999999999999999999999999999246246242241248251251252252250250252250254252248255253253253255257258257255255256259258257257258257258258257255256253253255258261257256253255255255256256254252251248256256254252253252252251252252253254250250252252253253252252253256256257258258264266259260259262262261260260260257259259257258259256256248252245244242241240239238237236234234233232233232232231231232233235235238238239240235236237235237235237237235238238238240237236236232235235232232232227228228227230230230228226226227227225225223225224226225228230227232233234234235237238237236236237238239237237237239242244248251248249248245247245243243243243242242242240239240239240237231225219219219220221226229233237242244246246247248248250251251251250250251252251251251251250249249248243241240238238234230229228227227226227228228229230230231231234235235235234235233232231232232231230229228227228229230231231232234236235235236237237236238239239239238238237236235234232231231231231231230229229229229230231231231230230228228228228228227229228230230232233235236237239240241241240240241241242242243243243243243243244246247248249249248247246245243241239238236235235236236237237239239239241242243245246247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277276276274272269266263261258259258260260261262261262263263264264265266266265262254246244245243241241246248252253252251251252254255255255254253252251251251250250249249248247247246244243240240238237231225217214217221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236232231230232235234235237234233231230228231231227225228230232234235235235239240239238239238239240237234231230230231226231235236241241242243243245248248247247248249247247245245247247248248248248248249249249251254255255255255254255255254254252255256258256256258259258258257258259260261261264263261260260264266266263267267267269274999999999999999999999999999999999999999999999999999999999999247247244246250251252251250250251252253254249256248256256257257258257256256254254256257258257258258256257257256253254257255259257257258255256256257257256256254253253250250250251247246247247250250247252250251252253253251252252255256257258259263261270263263263264266263263262260261260261260263261260260257254245240240240238235235234234233232233233233232232232234237238238238238240242242241238240240238239238237239239237238238232237237235233234238233234230230231230230231230230229230228229228228227227227230229232233233232232234234235237238239238238238239238237238238240243244248246246244247246244243242242242242242242242241238240240239237234226222221222223228233235239243244247248250250250250252252252252251251251252250250252251251252251251250245244242242242238233229229229229230229230230230231231230231233235234234233233233233235236235234233230231232232232235233235236237239239240240241241242243242241242241241240239237235234233233233232231231232232232233234234231232232230229229230230230231231231231232234235237238240240241242240241242242242244244244244244244244244246248248250250250249246245244242241239237237237238239237240239240240242243243245245245246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276277273272268268264262259257255257258259260260261262263264264265266266265264257248243240240240242245248250252251250248252253254255255254253252251252251250249249247247247247244242242240241239237231226222218221227999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232232231233233235236235236235234236235233236229229231235238239239241241237240242240239237239239238237234229229228230230232233235238242242244245245249249248247245246244248246246248249250250250250249250250251252253254255256255255254255254254255256256257258256257260260258258259260260260262264265264261261263265266266270271272273272999999999999999999999999999999999999999999999999271274266999245249246246249252251251249249249250251254255258255259259260261261259262261260260260260259259257258258257257256257253258255256260259260260259261262257255260258258257257256253251252254254254252253248254250252254253254255256256257260262265266269268269265265267267267269269269263265264264262262262262261258254247239238238238238240236235236234234234234235235235237239241241242242242242243242243241244244243242240239241242238243242238240239240241240240239236236234234233235233231232232229230229229227228229233235235235234234235235233233233235238238237237239240238239240242245247247248247248245245244242241241242243243241241241240241241238238236229225223226231236237241246248248247249251252251252252253253253252251251252254253253253253253252252253251250247246244243242238232231230231231232232231231231232231232233233234235235235236239239238238238235236236236235236236237239240241242242244245244244246245243243243244243242240238238235235235234232232233233234234233234234233233232231231231231232232232233233234235237238239240240241242242243243243244245245245244244245244246247247249251251250250247246245243242241240239238239238238239239240241243244244244244245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276274273272272271269268264257256256258260261261261262263265264267267266264260251242236238240244248248249249249249249251253254255255255255253253252251251251250249251248248244242243241241239237235231225222223231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237234234235235238235236237234236240233235238230230240237241243239240237236236241239241241240239235229229232231229233233233240244245245245245247249249248246245248248246245249249250250250250250250250251251252255255256257256256255254255255255256256256257258257259260259259260263261262262262264264999265265267270269270271274274268999999999999999999999999999999999999999999999263269272267263253250246247251252252252251248250251254256257260259258260261261261261261260261259260258259260259258259256258259260260261260262260258260261263260257260260260260260260258257252256255256256253253250251252251253253254255256257259261263264267268269270266268268269268268266268266266265264264262264263264259260258250243239239240240238238239238238238238236237239239239242242243244245244245242242241244244243243242239243241242242240243242242244240241240240241242240239239238237234237231231233231230231230230233234236237236236236237237234233235234236239240239240242240241242245247249248248247247245244244242242243243243242241241240239242240240240237231228226230236238243247249249249248252251252251252254255254255253255253255255255255253255254254254252251251251249247246245243241237233232232232233232232231232233233233234235236236238239239238238238238238238238237237237238240242243244245245245246247247247247247247247247246244243242240238237236236235235235236236235236235235235235234233233233234234236235236237237238239240241242242243244244244245245245246246245245245245244246247248249250250250249249247246244243242240240240239239239240240241242243244245245245244245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277276276276276275999264263259261261262262262263264265265268267268264259251242241238242244246249252253253252252252253255255256256255254255254253252252250249250247245243243242242240238236235233227222222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234233236236237236237236236235236231234236233239238241242243241243243240237241241240241239239240239234234233233235235237239248247245246247248248247246250248249246242245247249250250251251252251252252252252254253256256257255256256255256256256256258258258258259260260259260261262262263264266999999264266267269271272273276277999999999999999999999999999999999999999999999260261260264259257250249247248251252250251251246251258254255259260261260262262262261262262259256258261260261258260260256256255261262263263263263262262262262262261256262262261262262258257256256256256255254255253253253255253256257256259259260261262263265267269269270268268268268265267267266266263262261262265264264262262262259255248240240240240238240240240240240240240241241241241241241242243243243244243243241242241242242240239239241241239239239240241241243243243243242242241242241239239239236235237234235236234232232233235236237237237237238235238236238239241241241242239241241242244247250249250250249246245244243242242243243243242241240240240243242240239239233229230239241245247249248249250250251253250252255255256254254256257256256255254255255256256255254254253252252250251249248246245242240236235235235234231232233234234234234235236236238237236237236237237237237238239238239241242244245246246246246247248249248248249249250249248246246245243241241240239238238238238238238237237237236237235235236237236237238238238238239240241242243244244245245246246246247247247249248246245245245245247248249250251251250250250249246245244246243242241241240241242244244244245245245245246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266263264265264264263264266266267264262262259257251245242237240242242250251252254254255254254255256256256255255255255253250248246248247245246244241241239240239238236234227222223232242248999231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233236237237237238238234235236232233230229234241240239239241243241244238241240241242241239234236233234235234235236239241244244243247246248249247247249253251250252249251251251250251252252251251252253253253252254254255255255255256256255255258259259257259259260261261261262263263263267267265999999999268270270271272275275999999999999999999999999999999999999999999999999258257256258253251252250248248250251248247247249249252252253256257257252254259261261260261259260260260260260259261262256257258260260261262261261257258259259259261260263260261261259254254255255253253253252253253253254256256257258255258260261261263262263267267269269264262266265268268267267267265263264264263264265264264262261258251244238236238240239240241240241241243243244243241240242243244245243243243243244246246244246245243240241242241242242243242244241241245244243245244245243242242241240242240243239237236235235234235238239238237238242240240243239240243243244239240242242244246249251252252252251248245245245243242244245244244242241242242244242242240237234231234241244249251251251249249250250252253254255255255255256258258257256257256256255257256256256254253254253252251251250248247247246242239237237236235234234235235235235235236238238237237236236237238238239241241242244244245246247247248248250249249250250250250250250251250249248247246245244243241241240239240239240239238238238238237238238238238239239240240240242243244244245246246246246246247247248247248247247246246246247247248249250251251252252250250251247246245245244244243243242243244245245246245245246246247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263262264265265263264265265264262262261258255253251243243244248250246245249254256255255255255255256255255254255256255252249250249249247244243241242239241241241238238227226225228235244999999999999999999262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237238238240239238236231233232237232233239244244242242244245245244242241242242240239235237237236237240242242242244243239239242246249250243244242246248250248250251252252252251252252253253255254255255254254254254255255255255255256256257260260260259262262262263263263264264264266266267269999999265266270274273275999999999999999999999999999999999999999999999999999999259260256255252251249247247246247250252249249250248254256259260259262258259259261260258260261260261262257262262259260260260260260260260263264264264263262258263262263265263261261261258261262260258259259258258257259256259259260261262262262264263265261265265267268269269270270269268268267266266265264263263264265266266266265264260256250242238239241239241241241241241243243245244245244245243244243243243244245244246246245245242242242241243242242243242243244243245247245249250250249248248248247246246245243242241240240239240238241242242242243242243244243242243243243242242241242245247249251253252252251249248246246243242242245245245244242242242244245244242240236233233240246249253254253252252251252252253254255256256255257257258258257256257257257256255255255254254254253253253253252252251251250249247246244241241239238238238240240240239240240241240240239239240241242244244245246247247247249249249249249249250250251251251251250251251251250249248248248248246245244242241242241240242241241240240238240240240240240240242242243244245246247247248247248248248248248249248248248247247247247247248249251251251251252252251251251250248247246246246244245246245246246246246246247247247248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266262263267266265265264262262263262261260258255250999999251253254253251249253255256257258255259258256254254254255254253251249247247246245243241243244241241240239238234226226228230234235227999233233241253253244245999234242999999999999999999999999999999999999999999999999999999999999999999999999999239240238243241236232236232239234240242244244243243243244244244240245243243239239239235239238239243239243246242244239243246249249249247247247249248246249253250249251251251254254254255256254254254254253254254255257257256256257258259261262261263264263264264264265266266266266266267267999270266269270274999999999999999999999999999999999999999999999999999999999999999259254253253250251250249249249249251253252254252259259260260261258259257259256258258259260260262263263264263261260261261259258259259260261261260262261262263264263263264261263260260258260258259260260258257258260260259258258260261262263262263263264264265267267267268268268267268266267265265264265265265265264265265265264262261260255249241240241241241242245246244246245245243244244244244243243244245246246246247244245246244242242242243242242243243245246247248251253253254253250250252252252250248250249247245245244243242242241241240243246246246244246245244246245245244246243248250252254254254253253250249247245243242243244243243241243243244245245245242239236235237245246253254253253253253253253254254255256256256257259258258258257257258256255256255254254254254254254253253253252252252251252251249248248247246245245246245245246246246245245246246245245245245246246247248249249248249248249250249251250251252252252253252252252252251250250250251251250249249247247246244242241242243242243243242243243243241242242243244244245247247248249249250250250251251250251251252250249248248247247249250251251252252252252253253253252251249248248248247247246247246247247247246247247247247248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271264268271270269267266265265264265264266262999999999999999251249251254255255255255255252253257255255253253252252252251253249248246245246245244243242243243243241238236232228231233233233238233242242240240242243244234234238999999999999999999999999999999999999999999999999999999999999999999999999999999240245242237231232236228242240240244243247246243244246245244247246247246246240242242241244240240238242241242241245248245248248248247248249251250249250254252253254255255255255257256256256255255255253254254255257257257257258261262260264263261264265265266267267268268267266266267264268268270270274999999999999999999999999999999999999999999999999999999999999999999253253252250251249250251251246246247248249244250253253255253256257256259259258256258259260260260260260260261260259259259260258259258258257258259261262259258262261263263262256256255256256254256254252254255257259258257257259260261261261262262263263263264266265265264265265266268267266265265263264265265265264263263263263262262262261256252244241244245245245247246245244244243244244245245243246246246247247247246245243243243242241241241242243242244247247249250252253254255254254254254254254253253253252252251249249248246246244245246245245245246244246246243244245246246247251251253254255255254253252250249245244244244244244245243242243244245246246244242240237237242249253254256255255255254253255255256256257257258257256256255256257257257256255255254255255255255254254254253253253253252253253253252251250250249250250250250250250249250250250250250250249249247249247247249250251250250250251252252252253252254253253253253253253253251251251250251252251251250249249247246244244245245245245246249245244244244244245246246247248249250250251252253253254254254254253253254253251251250249249250251252253253253253253253254253253252251250249249248248248247247248247247247248248248248248249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278272272273273272270269268268266269272999999999999999999999999999251254255256254254255253252257254254251249250250250250250250252251249247247247244244243243243242238238234232235237234225230234239242239238238238238233235228999999999999999999999999999999999999999999999999999999999999999999999999999999999243251237233233237235243242242244249247246243244245247245247247247247247244244241242243245243240239240243245246247248248249249250250252253251251251253254255258258258258258259257259258259258258256255254256257256257258259262263264264265265266266268269269270269269267266268267267268270271271275999999999999999999999999999999999999999999999999999999999999999999252252252251253252248252255252250254258246253252259257253255254253256257260259258259259260260260260260260260261261260260260261258258258259259261258262264264265265266266263262261262261260258260260259261261262261260261261260260261261262266266265263265265266263264262262261262264265266267266266267266265265264264265265264264263264264262259252245245246247248245247250250247246248249248246247246247247250249249248247247246246244245244244246246248250250252255254255256256256256256257256258256257257256257256256255253253253252251250250250247247247247247247246245246247250251254254255255256257256255251250249245244245245246245244245242244246247246246244242238238240247252255255257256257257256255256257257257258258259258257255255256257257257256255254254255256257257257256255254254253254253253254253253252252252252252252253253253253252252252253252252251250250249250250250251251251251251251253252253254254255254255254254254254254253254253252252252252252252251251250250249247247247248249248248248247247247246246247249250250251251252253254254255255255256255256255255254254254252251250251252253253253254254253254254254255256253253252251251250250250250250249249249248249250250250249250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277274274275274273272271271271272271270999999999999999999999999999999999254252253256255249248250250249247247245244246246248250251250248250250247245245243242244241238237236233234233234233235234235238239237238236235231233236248233232999999999999999999999999999999999999999999999999999999999999999999999999244245238239248239242242242243243247247247247242247245246244245246246247244247247244244244242240242239243247248246248249250251252253253254254256255257256258258257259261261262262260259259259261258256255257257257257258261263264265266265264265268271268270270271270268267268269270271273270273999999999999999999999999999999999999999999999999999999999999999999999999250252250254251251250252250248253254256253245253255254253249252253254257258258258258259259259259259257258259260261261261261261260259258259260259262263264264264263263262262262263261262263263262261262260261260260261260260260261261263264264265265266266266265264262263261262264264266267268268268268267265264264265265265265264265262264263262257249247246248248248249249249248249249249250251248249250251250250249249249249249248248247247248248249250252256258256255258259258259260260260261261259257260260260260258257257257257256253255254253252252253254252253252251252254255257257256258257257257255250249247245244244246245245246245245246247247245245244241239239244251254256256257257258258258256256257257257257258258258257255256256258256258258256255255256256257257257256255256255254254255254254254254253252253254254255254254254253253253253253253253252251251253252252252252252252252253253253254255255256255255256255255254255254254254253254253252252254254253252252252251250249249250249249249250250249249249249250251251252252253254254255256256256257257257257257255255255254253252252253253254254254258255255255255255256256255254253253252252252251252251252250251251251252252251252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277276275276275273271270271272273999999999999999999999999999999999999999999999999999999999999999999240242240240235242243247250252251250251249246246245244246240239238237236235230230234236235240233230234234232229229234236234999238999999999999999999999999999999999999999999999999999999999999999999999999999999240241239251241244242242241242246246245247248247245243244244245245247246246246243247244241242240243246247248249250250251254254255255255256256258258258260261257261260263259260259259258261260261260258258258257257259263264265267267267269269999999272268272272272270269270271273274274272999999999999999999999999999999999999999999999999999999999999999999999999999248252253254251250248249249248244254254248252259259254257251252253256256258257256256259257259259260259258259260260261262259261260261259260260259258258264265264264260263263265265263264262263263264262262261261260260261260261262262263265266266265265266266265265264262261262262263262263264265267268268267267266267266267267266265265265264262261261255249248250250251251251250250250250252252252250252250251251249249250250250248248247248248249250253255259260259259260261261261262261261262261261260261261260261261260259258258257258258257258257257257258258257257256256257258258258258259257256257254249248246245245246246246247245245248247247245245243243240239242249255256257257258261260259258257258257257258258258258257257257256257257258259258257256256257257258258258258257257257257257256256255255255255254254254255255254254252253253253254253253253253252252253252252253254253253254254254255256256256256256256256255256255255256256255255255255256257255255255254253253253253252252253252253252253253252251251251252252253253253255256255256257257257257257258258257256255255255254255254255255254255256257255255255256256256257256256254254254253253253253253253253253253253253254254254255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276276276275274273272271999999999999999999999999999999999999999999999999999999999999999999999999999999999230236238237241244249248248247249248244244244243241243242240235238235232233234228230226228231234233231232229239237237238242230999999999999999999999999999999999999999999999999999999999999999999999999999242244246246246243243241242245246246246246244244243242243244243245245242237242239240242242241245246247248249250252254253255256257257258260260261261263262261260261263262260259259260260260260260260259258258258260262264266268267999999999999999273273273272272273273272274275275999999999999999999999999999999999999999999999999999999999999999999999999999999999249253252253249250248246247247247248248244247249251251251250254251255257257256259257256259262260260258262262263263264264260259260261262261262262260262260261263264264261264264264263263262262263262261261261262261261262261262263263264263262263262263263265265265264264261261261261262263264265265267268269267269267267267266266267267267266264263262262256251251250251251250250249249250250251250250249251250249248248248248248247247247248248249252254257258260259260261261261261261261260260260262262261261262261260260260260260259259259258260260259260261260261259260259259256260260259258258258256253250247246245246245246247247247247248246246245245243241241242248254256256258260259260260259258258258257257258259258259258259258257257257258258258257256256257257257258258258259259259258257257257256256256255255255255254254254254254254254254254254254254254253253253253252252253254255255255256257256256258256256258257256256256255255256256256255256255256256255255255254255255255256256255254255255255255255254254254254255254255256257257257257258258257258258258258258257256256256256254255255256255256256258257257257258257257257256256255255255254254254254254255255256255255255256256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274277276274274274274274275999999999999999999999999999999999999999999999999999999999999999999999999999999999227235236233238244248247245247248242245244246246243241239242236236231230233229228229229229229231231225228232232235238238240231999999999999999999999999999999999999999999999999999999999999999999999999999242244243239239241241242243243244246246247245245245245245241242246242243242241240241243244241243249249248249250252254254256257258259261262262262263263263262261261259260260259260260259260261259260259258257259261262265267268999999999999272276276276274272273274274272274278999999999999999999999999999999999999999999999999999999999999999999999999999999999248249251249250249249249248248247248249250249251256257258258259253259259258259260262260261263262264264263266266266263264265265265263264264263265265266266263267268266265266267267267266265266264264264264263264264265264264264264264264265266266265265265265265267266265265264261262260259261262262263264266267269267266266266266266267267266266266265264264261259256254253253253253251252253253253253252251251252251251250250250251250250250252253254257260261262263263262260262261262261261261261261261262261262261262261260260260260260262260259260262261262262262262261260261261261260259260259259258256252250247246245245246248249248247247247247246245244243241242246251256255258258260258259259260259258258258259258259260260259259259258257257257257258258257257258257257259260258259259259259258258258257257258256256256256256255255255255255256255255254254254254254254254254255256257255257257258257258257257257257257257257256256256256256257257258258257256257257256256256256256257258256256256255255256256257257257256256256256256258257258258258258260258259258257258258257258257256256255256255255260257258257257257257257258259256257259257257257257257256256257257257257257257256256257256257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275277276281278277999999999999999999999999999999999999999999999999999999999999999999999999999999999244229233236237240242242247243245245248245247247244243241239239240235239231232232229230231230229224230225227225227233235238236999999999999999999999999999999999999999999999999999999999999999999999999999999999243237241238243239239238240240241242243244244244244244244245244244244237238240243243243245244246247249250251251254256257257260261262262263264263263263266265261261261260260260261262262262260260260259260260262264267267269999999272273276278277278275274274272275277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250253251251249247247247248250249250251252252251252251252253257258262262260263264265265267268267269268270269268269269270270269267268267266266266267268264263264263266267268268268267267267264265265264265265265265266266266266265266266266265265266265265264266267266266264262262262260259261262262263264266267266265265266265266266267268266267266266265266266264262255254255254254253253253254253255254253252252251251250250250250250251252253255257260262264265263261261261261262261262262261261260260261262262261261261261260260260260260260261261261262262262262262261261260261261261261260259260259256253250248246247247249249249247247246246246247246245244245248251255256257260260259260260259260259258258259259260260260260261260260258257257258257258258257258258258257258259257258259259258258257258258258259256257257256256256256255256255255255254255255255255255255255257256258257257258259257257258257257256256257256257258257257256257257257257257258259258257257257257257258259259258257257258257257257258258258258258258258257258258259258258259258259258257258258258257257256256257256256256256260258257258258258257258259258258257258258258258258258257257257257257258257258257258258258258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239232234237238238243245246246245243245244244243243243242238235232236241237235235235233232231234231229227225223230226232233237241999999999999999999999999999999999999999999999999999999999999999999999999999999241241232239239240238236237238238237237239241242244243244243242241241241241241242245245244244248247249251252253254257258259260263263263264264261261265263264262261260261261260261262261262261260260260261262263265266266269276999999999277277277276276275276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250252252249248246247247249249249249248253254257258257257256258260263264265265266270270270267270271272273274271272274274274273272274270272269268268268267265266265263267268268267266266266266266264264265266266265265265264264263263263264262264262262262262262264263264263263262262262262263263263264265265266266265265265265266268268266267268267267267267267266264259256255255254252252252253253252252252251250249249249247247248249249251253256258261262264265264262261262261261261262261262261260262263263262263262262263262261262261260260261261262262262261261259257262261261259260260260259259258255252250247248248249248248247248247248247247246245245247250252255258259260260261261261261260259259259258258259260261260260260260261259257257257257257258257256257257258258259258259258258258259258259259258258257257257256256256256256256256256256255255256257257257257257257257260258258259259259258258258257256256257257257257257257257258257258258259259258258259259258258258258258259258259258259257258258259259260259259259261261258258259258258258258258257257257258257257256256256256256256257257257259258258259258258259259260259259259258258259259259259259259259259259259259258259258259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231232235237237236240243240246249245241242245245245241241239238240241241240240241239236235234234233229226223229224224999233999999233999999999999999999999999999999999999999999999999999999999999999999999999999241241246242235236236235237235240239239237238240243242241242241241241242241241244245245245246247248251250253254256256257259261263264261264265263264265266265264263262261261262262260261261261261262262263264265268269269272276999999999276277275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251253255252249249249248249249249250251251253255256262261259259263265266269270270270270272275276277276280277280279278279277278278278276277276276274274273270269269269269269269270269269269269268268267268268268267267268267267266266266266266266266267266267267265266265264264264264264264264264264263264265265266266263265266266266267268268269269269270267268268267266264263260258256256256257258256257256256254253252252252252252251252254254256259262264264265265264263262261260261262262263263263264263263263263264264264263262263261263262262260261263262261261260259257260260260260261261260259260258254251249249249249250250249247250249249247246245246252252254257259260260261261260261261262261260260259259258259259260261260260260260260258257257257257258257256257257258259259259258258258258259259259258259258257257258257258257257257257256256256257256257258258258258258260259260260259258259260259259259258257258258257258258258257258258259258257257259259259259259259259260259259259259260260259259259259259260260260260260260260258258259258258259258258258257258258257257257257256256256256257258258258259258259259259259260260259259260260259259260260261261261262261261261261260260260260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262261260254999999237236239237238237234235235239240245245241244244243244245242242240243242238242241241241239237235234235232229229228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248254248245236232235235236237237236237238237238240243243244244243242242246243244244246244246248248250252252254256257257259260258262262263264265265267267266266264263263263262262261261261262263263264264267268269270271272278999999999275276275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255256253253249250249250251253252253254257261261263264264268263266269271273274276277278280280281281281282281282281281282281280280280280279279279279278278276274273271271270269270270268270268267268269269269269269268268268267268267267267267267266266266266266267266266265264265265265264265265264265266266265264266265265267266267267269269270271271268268269268268268267265264260259258257258259258257257256254253253253253254253253254256257257261264265265265265264263261262261263264265264264264264264264264264263264264265265265265265264262259263263262263261261261261261260259260259260260259259256254250248249249250250248249249249249246247246247253255256257258260261261262262261262262261261262261260259259258259260261261260261260260258258257257258258258257258259260259259259259259259260259259259259259258257257257259258258258258257256257257257257258259259259260260261261262260260260260259259259259259258258258259258258258258258259259259258259259259258259259259259260260259260261261260260260261261261261260260261260260261260259259258259260259258258258258257257257257257257257257258258258258258261260260260260260260260261261261261260261261262262263263263263263263263262262261261260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257258259258257257254248244243245242239236233232233236246243244245241244244242239241244244244243243240241242242242242239237235237235233233231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248245241236235236237237237238238237238237239239240239241244244241239243243243244242245247248249251252253253255253253257258259262263265266266266267267268267266267266266264264264263263265266265265266268269270271272275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257256254252252252253255257257257259259261263263265268267268271272274274276280281281282282281284283284284283282282284284283282282282281281282282281281279279279275273272272271269268268269268269269269270270269269268268268269268267267268269268267267267267267266266266266266265265265264265265264263266265265267266266266266267268269270271271271268267267268267268269268268266262261260259259258257257256256255254255254255254253254255257259261265265265265266265264264261263264265265266265265264264264264264264264264264264264264264265264264262260263263262260261261262262260261261259260260259258256253250249249248249249249248247247247248248250254256258258259260261262262261262261262262261262261262260259259258259260261261261261260260259258259259260259259258259261259260260259259259260260260260260260259258258258258258260259260258258258258258258258258259259260260261262262262261261260259259259259258259259258258259258258258258258259259260259259259259259259259260260259260260261261261261261261261262262262261261261261261261259260260258259259259259258258257258257257257258257258258258258259259262261260260261260261261261261261261261261262262263263263264264263263264264263263262262262261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257256259257255259259262257256255252251248248250240234236238241245243243242242244243238242242243243243244243239241241243243244245240237239240242240236241241999261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243245243241237236238236236239238238240242244242241239241238236235239236242242245243243247248250252252253251253254255255256258259261265267267267267267268268269269269269268267266267267268268268268268269268271271272273277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254257256254253253255257257258258261263263263264266266269271273275277279280279281282283283283284284284286286285286286286286284284283284284284284284284283283282282281281278276273269268267266265267269269269269269269269269268270269267266265264265268268268267267266264264264264263264265265265265265265265266264265265267267268269271271272272271271271272269270267269269270269268268265262259258257256255256255255254253252251252253252254259259262263266265265265266266264264265265264265267266266265264264263263262263264262262263263264263265265265264265265263263263262261261261260261259260259260259256254251250249249251249249248247247247248251253256257258259261261260262262262262263262262262262261261261261261259258258259261261261262261260259259260259260260259260261261261259259259259260261262261261260260260259259259259259259259259258259259259260259260259260261261262262263262263261261261260259261260260259260259259259259259258259259259259259259260260259260260260260259260261261261261261261262262262263262261262261261261261261260260260260259259259259260258258258257257257257257258258259259259259260260261260261261261262262262262261261261262263263263264264263263263264265264264263262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253259253253252254256255257258258255253253254253250246241237237238238240241241241242241242241241243242241241243243240243244243245244244244243244244241243242242242238256999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242244242241235239241244237238241237240245245243241241241239241241237239241243240243246249249250251252251253255257258258259260260262266267268267268269268268269268268268267267268268268269270270269270271271272273273275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252255255255256258260260259258259262265265266269271271274277279282283282282282282284285285285286286287287287286286286286285286286285286286286286286285285284284284283279278278278276275274271271269271271271271271270270271272270271269269269269269270270269269269268268267267267266267267267267266266266265266265265267267268270272273272272271269271270271272269270270270270270270270268266263260259259257258258258256256256257255255257258259260262264265264264265265264264266266267267266266265265264262262263262262263261263263264263263264265266266264265265265264262264262259262263260261260261260258255253250250250250251250249248247249250254258261261262262262262263263262263263263263263262262261262261262262261258258258259259261261262261260260260259259260259260259260260260259259260261262262262262262261261261260260260259260260259259260259259259259260261261261262262262262262262262262261261261261260260260260260259259259259260260260260260260260260260261260261261261261261261262262262262261262262263262262262262262261263261261260260260260259259260259259259258258258257257257257257258258259259260260260261261262261261262262262262261261262262262263263264264264264264264264264264264264263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257259257256259256257258257256254252250251250252251248241237237237240243243242245241241240241240243240239242242242242244244243244244243244246242245240244247242243248255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242242239239239238243244237237240244245247245245244243243244245245246241242242240244245249250249251251254256257259260259260258261263266267268264268269268268268266267269267268270270269269271272271272272273274274276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250255256256257258261261259260260261263264265268271274277280283285285284284284285286287287286287287288288288288287286287286286286286286286287286286286286286286284282282281282281281279278275272270271271271272271271271272272273272272270270270270271271270270269270269269268268267266267267266267267267267266266267267268269272274274274274273272272272272270272272270270270271270269270270267265262260258259259260258258258257257255257257258259261264265265265265265264265265266266266266267267265263262262264263263262263261263263264264264264266266265266265264265265264262263262263262262261261260260257255252250250250250251250250250250252254257259259264262262263263263263262264264264264264263263261262261263262263260259258258260260262262260261261260259259259259259259259259260259260261262263263263263263262262261261260261261260260260260261260260260260261261261261261262262261262262262262262262262262261261261260260260260261260260261261261261262261261261261261261262262261262262262262262262261262262263263262262262261260261261261261260260260258258259259258258257258258258258258258261259259259260260260261261261261262262262262262262262262262262262263264264264264264264264264264264264264264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259257257256254255256257256257254253251249251251250246241241239236242243241242240242240239239239242241241241243244246244245245246245246243242242244247244241243241246251254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245243239239236243246247237239241246246245245245243244246245247247245244245245246248249248249250253255257258261262261259261261261264268269269268267267268267268267268269268270271271271272272273274275275276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256257259258260261260259260261261263267267272276279282284284285284285286287287287288287288289289289288288288288288288288287287286287287286287286285285285286285286284284283282280281280278277274273271272272271272272272273273273271271272271271271271271270270269269267268268268268268267268268267269269268268269270270273274275275275274272271273273273273273270270270270271271272272270269264264261258257257257256257258253255256258258260260262265266266266265265266266266267267267267267265264263262264263263262261263263263263264263265265266267265268266266265265263261258263261262261259260260259256255251250250250250251250252253253254255258259260262262264264264264264265265265264263263263263261262263263263261260259259259260260261262261261261259259259260260259259259258260260261262263263263263263263263262263263262262262262262262262262262261262262262262262262262262263263263262262262263262262263262261261261261261261261261261262261261261261262262263262262263263263262262262262262262262262262263263263263262262261261261261261261260259260259259259260259258258259259259258258259260259259259260260261261262261261262262263262262262262262262262263264264265265265264264264264264264264264264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257256255253254256254256258255255252251251249247250251243241246244243239242241240243241240239238242241240239242242243243244245247244244247248248248248247245237238243245250252257999999999999999999999999999999999999999999999999999999999999999999999999999999999999242236235238238241242245237239240239243243241241241245245246249247248247242244246249250248252254255257259260262261999999262262262265268269268268267267268266269268268268269271271271272274273277277273277277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257257256257259259261261263264265269271276280282282282283284285286288288290289289288288288289289289288289289288289289289288287287286287288285284284284285284284283283283284283282281280280277277274273271271272272269272272272270270269268270271267267267268268268267267266266266266267266269270269268270269267268269273274274275275274274274274273275274274273272272271271272272273273272271270269267264261257259256259259258258259259260261263265266266265266265266266267266267265266265265264265263263264264263262262264264263264264265265265265265267268266267264264263263261263262263262260259260258254253252251250251253252253254254254255257258260262262264264265265264265266265265265264263263263262262262262261261259259259259260261261262262263261260260260261261261261260260261262263263265265264264264264264264264264263262263263264264264264263263263263262262263262262262263264264261263262262262262262261261261261261260261261261261262262262262262262263263263263263263263263263263264263262262262263263263262262262261261261261261261260260260259259260259260260259260259259259259259259259259259260260260261261261261261262261261262262263263263263264264265265265265265265265264264264264265265264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263999999999999254255254254255255256255258258252251249250253250252252240245246241239238239241243244244245243236239239237238242243245245245247245244248249249248249249247245239242244246249253255999999999999999999999999999999999999999999999999999999999999999999999999999999999999235241238236236234244245239241245242245245241243248250251251252253253252246247246247251254253253255259261262262261263260265263265265266266270269268268269269267268268270271272272271271275278278279277276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257257257257258259260262264266270274277278282283285285286287288289289290290290289289288288289289289289289289289288288286287287286287287286286284284285285285285285285285284283283283282281280279279278275272274271273274272272272272272272272272272273272272271272271271271270270270270270271270271269271269268274275275275274273275274275275274271269270273273273273273271272274272272274273271271270266263260256258258258258260259260262263264266267266266265265266267266266265266266263263266265264264264264263265264263264263263264264265265266266265268267266263263264263262261264260257257259258256253252252251251252253255255256257256257258259261263264264265265265265265266266265265264263263263263263262262263261259258260260261261261263263263263262261261262262261261262262263264265265266265265265265264266265266265266265264264265265265265264263264263262262263263262261262263262262263263263262262263262261261262261261261261262262262262263262263263263263264263264264264264264264264264263264263264263263263262262262261261261261260260261260260259260260259259259259259260260259259259259259260260260261261261261261262262262262263263263263263263265265266266266266265265265265265264265265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267256255254255256254253254255256254255255257255251250250254250249244245246243241240241241242243245247243242241239240241242244244244246247248249247249249249250249250246244242243245249252253249256999999999999999999999999999999999999999999999999999999999999999999999999999999999238240237236239237248240246245244245245247250250254254254249254255255255253252251249255256258254252259260262263262259264264264263266263265269269271269269269270270272273273274272271272275278277277278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257257256257258259261267271272277280283285285286285288289291291291291290290289289289288288288288288287288287287286286285284285285285287286287286285286284285284285285286286286285283282281280280279279276273272273274270272272273271272272272272272272271272271271271270271270270269270270270271272272272272273273274274274273275274274274273271270271271271271271270270273272274273273273273273271271267267263263260262261259262263265266266265267265266266266266267267265266267266266263266264264264264264263263263263264262263263261265265265266266267267267265265264262263263263262260259258257253251251251251253253254254255256257258259260262263264265265265265265266266266266266266264264263264263263263262260260259259261260262263263265265265265264261260260261262263263264265265266265266266265265266266267266266266266266265265266266265266264265264263262263263263262263263264263263263263263262262262262262262261262262262262263264264264265264264264263263264264264264264264264265264264264264263263263264263262261261261261261261260262262260260260260260261259259259259261259259259259259260260260260260261261262262262262262262263263264264264264266266266266266266266266266265265265265265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257254255255254255255256251252253254257256256256254252254249247244244244244242244243244246246244243242241242243243243244245246247247249250248249249249249249248246246245245244245251252251250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234238236241250248249249247245247249251250255255251256257258257257250251252251257260258260256262261262267267264266264266267264266264268268268269270268270271273274274274272272275277279279281282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257256256257257260264269275279281282285287287288289290291291292290292291290289288288287287286286287288288288288286286287287287287287287288288287286286285285285286286286286285284283283281281280281281281279276274273271271270271271271271270271269270269268267267267267271269270270270272271272274275274274275277275275275275274274274273273272271271272270269270269270271271272273272273273273270270271268269266267266267265265265264265266268265267266267267266265265266266266266266265265264264263264264265263263262263264262265266262263265266265265267265266264265263262262262262261260257255252252252253253255254254254256257258260261262263265265265265265265265266267267266266264264263264263263263263261259259260261262263264264265266266266265265263261261262263263265265264265265266266266266266267267268267268268268267266266266266266265265265265265264265265265265265265265264265263263262262261262262262263262263263263264265265266266267266266266266265265265265265265265265265264264264264264263263263262261262261261261261261261261261261260261260260259260260259259259260261259261260260260261262261262262262263263263263263263264264264264265267267267266266267266266266265265264265265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258257257256255254253253253253252251253254258256256254255255251248246245246246245244245246247246243244241243243244242244245246245246247249248250249249249249249250246243245244245247246251252251260244249999999999999999999999999999999999999999999999999999999999999999999999999999999999232238236242245249250250251245247244251247249253256255257258257257257255254254258256258259261261265264266270269267268266270270268267266270270270272273273273273273275277278278275277278280283284284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257257258259264271273276279281285287288289290290291291291291291289289289288287286289289287288288288288288288287287286287287287287287288288287287287286286285285284284283283284284284282280281281281281280279278276274273272271271272271271271271270270271271271271272272270273271272275276277276277277277276276276276276275275273273273274273272271270268269270271270270270271272272273273272272271272271270270269268267266267267267268267267268267266268267266266267267267266266266266266265265266265265265265264263261263264265264266266265267266265266265265264264264263263264262260258258254253253253254255255254255256257258260261262262264265265265266266265265265266266265265265265265264263263263261260260260262263264264265266267267266266267267266264263263263265265266265265266266266266266266267267268268268268268268267267267266266266266266266266266266266266266266266266266265263262263262262263263263264263263264265265266267267268268268268268268267267267266267267266266265264265264264264263263262262261262262261262261261261263261261262260260260260260260261260260260260260262260260260261261261262262263263263263263264265265265265265267267267267267267267267266266265264264265265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255257258256254253253254254254254254254256257256254254252254251251249245249246245245245245244243243245243245246245241242244244245245246248250250250250250249250246246248247246246246245249257259263251999999999999999999999999999999999999999999999999999999999999999999999999999999999999231239239244248253256258258256252250250253255257257258261257259258258255256257257258257262263265267272272270269271269268271270269271273274272274275275276275276276276277999999276278280281283284286282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258255257258263269275277279282285285289289290292292292293290290290289289288288288287288288288288288288288287287285286287287287287287288287287287287286285286286284283284285285284284282284283282282283281281281280279279279276274274275272272272272273273272272273274274276277276277278278277278278280279278277278278278279276275274273273273274273272272271271270271271272271271271271271272272272271270270271271270269268268268268269269268268267267267267266266267267268267267267268267264265265265265264264264264264263264264264265265265265266264264265265263265264264264263262259262260257253253254255256257255256256258259260261261262263265265266266266265266266265266266266266266265263263263263261261260261262263264265266266267267267268267266266267265264263263264266266266265266266265266267267268267267267268268268267268268267267267267267267266266266266267267267267267267266266265264263263263263264264263264264264265265266267268268269269269270269269269269269269268267267266265265264264264264263263263262262262262262261261261261261261260262261260261261261261261261260260260263260260261261261261262262263264264264265265265266266267267268268268267267267267267266265265264264265265266265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256256257257255253255255254255256256256255258259255254253254253251250249248247246246248247245245245245247247246246245245245245246247248248251252251251251249248248250249247247243243243247258258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232240242246251256258261261259256253251251255258259260264262262263262266266262261261264265265270268270273271271273273273272273276276278279277276278276999999999999999999999999277276280282283285285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292999999999999999262258257259260265270275277279282284286287289290291292292290292292291289290289288288288288289288288288288288288288286286285287287286287287287287287286286286285286285284285285285285284282283283283283283283283282282280281282282281280277276276276276274275275276276277277277278277277280280280279280280278278278279279279279277276275275274274273273273273271270270270270271271270271270270270272270270270269271270271271270270270270269268269269269267267269268267267267268266267267267268268267266265265264264264264264264264266265265265265266266266265264265265263265265264264262259263258255255254255256256258258258258259260260260261263263264265265266266265265265266267267267267266265263263263262261261261262263264265266266268267268269269269268268267266266264263263263264266266265266266265266267267268267268268268268268267268268268268267267267268268268267268268268268267267268268267266265265264264264264264264264265265266266267268268269270270271271271271271272271271271270269268267266265264264264264264264263263262262262262262262262261261261262261262261261261261261261261261260261261261261262262262263263265264266266266266267267267267268268268268268268268267267266265264264264265265265265266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262259255254255255257257256257256257256255256259256255256260258257256256256254251251250249248246246246244246246248247248249248249248248248248247247247252252251251250250249249250250248246243243242244246256259242999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237246249253258261262259258256257254254256259260261264266262262263265269268267268267268269272271273273999999999275274273274275276278999999999999999999999999999999999999999276999281283285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290291999999999999259259259262265268273277278280282285287288290291292292292292292290290290289290290289289289288288288288288288288288287287287287286287287286287287285286286285286286285286285285285284284284283283283284283283284283283282281282283283283283282280280279277278279279278277278278278279279279280279280280279279279278278279278279278276276276276275273272273273272271271270271271270270268270270270270270270270270270271271271271272271270270270269267270270269269268268268268268267268267267267268267268267266268268264264263264264265265264266266266266264266265266264265266265262264263262260259258256255255256257257258258258260259260260260261263265264265265265266265265266266266266266266265265264263262261261261262264264265268269270269268269270270270268269268266268265265264264265266266265266266266266266268267267269269268268268268268268268268268268268268268269269269269269268268268269269268266266266265264264264265265265265266266266266267268269269270271272272272272272272272272271271270269268266265265265265265265264263262262262262261261262261261261262262262262261261261261261263261263262261262263263263264265265266266267267267267267267268268268268268268268268268267267266265265265265266267266266266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262259255255255256256257257257258258257258259260257261259259258257259259257256252254251251248246246248247246247249249251250252249249249249249248250253251254254253252250251249248248250247245245244246250255259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234243244248252256259260261261266265262260259260263262263265269272268267271270270271272271272273273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282287999999999999257258258260264269275276279281283286287289291291290291290290290290291291290290291291290289289288288288289289288288288288287287287287287287286286286286286284285285285285286285283284285284285284285285283284284283282283284283283283285284284283282282280283282282281280280281281281281280279279280280280280280279280279279279278277277276277275275274272273272272271270272271273273273273273273273269273272273272271272271272271272271270270270270268269270270271270272270269269269269269268267267267269268269267266266265264264265265265264266263267266266266265265266263263265263262263261258257257257255256257257259259259260259259260261261263264264265265266266267266266266266266266266266265265264264262262263262263264266266268270270269270270271271270271270270269269267267265266265266266266266266266267266268267268268270270269269269268268268268268269268269269269269269270270270270269270269268266267266265265265265265265265265265267266266267267268270270270271271272273273273272273272271271270270268267265265265265265265263263263262262261261261261262262262262262263262262261262263262263264263263263264264265265267267267267268268268268268269269269270270270269269269268268267266266265265266266266266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259260260258255254255256257258257259258262261259258261261261258261260261260260258255252253251250247248248250250251250251252252252248250249250249248250251251253249248252250251249252250247244245240244246252252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236246244253251254257259260260266265264265265265264265266268267269270273270272275277276273273275275275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279999999999999999257259260265270274278280281284287288290291292292291291291291291290290290291290291291289289289288288288289289289288288287287286287287287287286286286286286286285286285286286285284284285284284284285284284284285286285285285285285285285285284284282283283284284284282281282282281281281281280281280281281280280280281280279276278277277278277275276274274273272272270270269272274272272272274271271273272273274274274273272272271270271270271271269271270270270271272272271270271270270270270269268269268268267269269267266265265265264265265264265266266266266266264265264265264262262261260258257256257256257258259260260260260261261261262263265266265266266266266265267267267267266266266265265264264262262263264265265266267268270270271272271272272272271271272273270270268268267266265265266267268267267267267267267268268268268268268269268269268269268268269269269270270270270269270270270269269269267267266266265266265264265265264265266266266266268268269270271271272272273273273273273272272272272271270269267266266265265266264264263263262262262261262261261262262262262262264263263262262262264264264265265266267268269269269269269269270270269270270270270270270270270269269268267267266266266266266267266267266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264263263260257258256254258260259259260261261263262261260259257261261260258257256256254252249250249249255251251251250252251253253252253252251251250251252252253250255253253253254251249248249244243244250253254999999999999999999999999999999999999999999999999999999999999999999999999999999999999248254255256259261263264264265264265265264265266268270271274272272269271274273276277277275275278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282284282999999278999999999999999259265266271275278281283285286289291292293293292293292292291291290291290290290290290289288289288288288289288288288288287287287287287286285287286286286286285285285286286286285286286285284284284284284284285285286286286286285283285283285283283283284284285285284283282282282282283282282282282281281281281281282280279280277278278278277276275275275273273272272271270269271271273273273273274271272272272272272273273272273273272270271270273273272270271272272272272271272271271271271271270272269268267267269269268267265266267265266266266266266265263265265265264264265263263262260260258256257257258258259261261261261262262263263264266267267266266266266266267267267267267267266266265264264263263263264266266268269270270272271273273274273273273273272272272271270269268268267267267267267267267268268268268268268268268268268268268269268269268269268269268269270270270269269270270270270270270268266266266266266266265265265265265265265266267267268269270271271272273274273273273272272273272271271270270269267266264264264265264263263263263263263262262263263262263263264263264264264264264266265265266266267268268269270270270270270270271271271271271271271270270270270269268267267266266266267267266266265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264266265263261260257256259258260261261263262264263261263261261260261259258259258257256253251250251252252252251250250253253253254255255254253253254255254256255256256255254255255253250250250245241245250257263999999999999999999999999999999999999999999999999999999999999999999999999999999999999259260260260263267267268266265265266266270270271271271273273275275273279278274276278277277277280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278277277999277999999999999999263266267273276278281282286287289290292293293293292292292291291290290290290290289289289289289289289289288289288287287286287287287287287286285284285285285285285285285286286285286284285285285285284283284284284285284285285284285285285285283283285285285285285284284283282282282282282282282283282281279280282280280282281279277278278278277276275274275272275274273272272273270271270272272273273274274272273274273273273274274274272271271272273271271271271271273273272272272272272272272272272271272270268268268269270269269266265265266265266264264263264265265264264262264263261263261259257256257258258259261262262262263264265265266266267268268268267267267266267267267267267266266265264264264263264265266267267269272273272273273273273273272273273273272273272272271270270269268268267267267267267267267269269269268269268268268268269269268269268268268269268269269269269269269270270270270270270269267267266266266265264264265265265265266266266267267268269270271272273273273273274274273274273273273272271270270268266265265266265264264264263263264264264264264263263265265265265266265265266268267266267267268269269270270271271271271272272272272272271271271271271270270269268267267266266267267266267266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266269266264266266264263262260260261260260260260264263263264265263259261259260258258257256256257256253253253254253254253252252251254254255255254255255256256255257255254254255255256254254253251251250242246245245244244999999999999999999999999999999999999999999999999999999999999999267267262257257257259262263266263262269271270269268270272272273275276276276277280279280279279278276277276276278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999285284286999999276276275275275275279281999999264264265269273276280282284285287290290292293293292293292291292291291290289289289288288288288288288288288288287287286286285286286286286286286285284284285285286285286285285286284284284285285284284285285284284284284285285285284283282285284285284285285285285286286284283283282282283281282281282282282281281280280281281280277277277276278277276276276275275276275274272272272273273273274271273274274274274273273274274273273274275272272272273274272272271271271272273273273272272272273273273272272273273273271270270269268271270268267266265265266266267266265266264264265265265264263262260259255257258259260261263264263263264265266266266267268267269268269268267267267267267267266266265264264264264265266266266268268270271273272273273274273273273273273273273273272272272271271270269269269268268268268268268269269269269269269269268268269268269269269268269268268268268269269269268269269269269269270270268267267266266266265265265265266267267267267268269270270270271272273273273273273275274273274274273272273271271269268266266265265264264264264264264264264264264264265265265265265266266266267267267267268268269270270270271271271272272272273272272272272272271271271270270269268267267266266266266266267267266266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266270270269267269269265264266264261263263262261260262265265259259259261260259259262260257256256255252253253256256254254252252255257256254253255255256257253257254256256254255255257257251250249252251244243246241244244999999999999999999999999999999999999999999999274277999999999268269266261262261262264266266270272274274269274272270271274273274275276278279281280281281281277275276276277276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999287285285999999999999274274274273272274999999266265264268272276281282285288288290290292293293293292292292291290289290290288288288287288287288288288288288287287287287286286285286286286286285285285285285285285286285283283283286286285283285285286285286284285284284285285285285285285284285283284284284284285284284284283283283283283281282283282281278280283279278281278278279279278278277277276276276277277277277273273273271275275275273271272274274274274275275275274273274274272272272274274273273271270269271273273274274274274274273275275273274274272272272270269269268269269268267266266265266266266266264266264264264264264263263261259256257258259260261262264263264265265265266267267268270270268268268268267267268267266265265265264264265265265267267267269270270272272273275275274274274275274274274273274273273273273272272271271270270271270269268268268268269269269269269269268268269269269269269270269269269269269269268269270269269270269270271271270269268268267267267266266265266267268267268269269270270271271272273273274273273273274273273274274274274272271271270268267265265265264265264264264264264265265265267267266267267267267267268268269269269269270270271272272272273273273274273273273273273272272272271270270269268267267267267267267267267267266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268272271269267268270266267265268265264262262260258258261261260260260262259257263261261257256256256256255256258259258256254258257256254255253255257253257253253251256255254256258259255250250254252251241238246248250243243243999999999999999999999999999261999273999269269270275276270999999262264265266268269268274276275277274277275273273274274275278279282283284280285284279278276277279276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296299291999999999999999999999999999999999999999287287285284285999999999270273274271270270270267267265267268271274279285285288290292290293294295293293293292291291290290290290288288288287288288288288288288288287287287287286286287287286286285286285286287286287286286286286286287286286286285286285285286285285284285284284286286283286284284284284285285284284284284284283284282283283282282282283281280280281282282281280280280280280277279279278278276276274276276274272274274275275275274274274273274274275275275276275275274274275272273273274273273272271273271271273274274274274275274275275275275275275272273271272272270268268269269268270265264267266266266265264264264264264264263261260259258257259259259261263265264266267267267266267268269271270269268269268267267266266265265265264265266266266267267268270271273272274274275275275276275274274274274274274273273273273273273272271272272272272271270269269269269269269269269269269270270269270270270269269270270270270270269269269270270270270270270270271271271270269269268268267267267268268269269270270270271271271272272272273273273274275274273273273274273274273272271271270268267265265266265265265264264264265266266266267269268268268271269269270270270270270271271272272273273273274275275275274274274274273272272271271270269268267267267266267267266267267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274271271270267268269267268269267270265262262262261262261259262262261260261258258259257255258257258257257256256257259258256259258258255256254255258259253255256252256257259257257259255256250249253253241242240244241239239999999999999999999999249255272275999267268271999268270270269274272267268269271265269276274273273274275276276275275276277278280280284286286283286282279283280272273999999999999999999999999999999999999999999999999999999999999999999999999999295295288294999999999999999999999999999999999999999999999999999999301299999298296294291279999999279999999999999999999284283282282285999999275275276276999271272270270271271271273277280284287287289293295294294293295293293293291292291290290290289288288288288288288288288288288287287287286287287287287287286286285286284284285285285286284284285287287287286287287286287288286287286286286285286285285286285284283284284283284284284285283283284284283283283283283283283282282280283282282281280281281280278278278278277277278277277275274273274274274275276276275275275276274274275274276275276276276276274273274274275274275274274271271271273274275275275275275274276274274276275274274274272272271268268269269268270266265265267266265264264263264264264264263262260259259259259260262262263264265267266267267267267269270270269268268267267266265265265265265265266267267268269269270271272273274273276276277275275277277275275275275275274275275275275274274274273273273273272272272271271270270269269270269269269270270270269270270270270270269269270270270270270270270270269270270271271271271271270270269269268268268269269270270270271271272272271272272273273273272274274274274274273274274274273273272272271270269268266265265265265265264265266267268268268269269269269270271271271271271272272273273273273273274274274275275275275274274274273272272271271270269269268267267267267267267267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272269271273270273266266266264264261265260261262262264260266261261261262260257255258258256257257257257255257258257259259259257255257258256258254254257256258259258259258259260258253251250251241234242239237244269253999999999999999269254999999272273999264270273273271269271267270264267272271273276277999274274275275277274276276278281282283284285286285284282283283280999999999999999999999999999999999999999999999999999999999999999999999999999999289287287290290287278999999999296298285999999999999999999999999999999999302301294291291999999999999999280999999999999999282284282282283285999279279281281280279276277275273274275276280283285288288290292294295297297294294294294293291291292290290289289289289288289289288288287288288288288287287287287287287287286286286285285286285284286286286288287286287287286287288288288288288288288288288286286285285285284284283284285285284286284285284284283284281282284283283283283282281280280279281281282281280279278277278278277278278278277276273273274275276276277277277277277277275274275274278275276276276273274274274273273274275274273272271271272274275275275275275275274275274276274274274275273272269269268269269268267267266264266265265264264264263263263263263261257259259261260261263262263264265266266268268268268268268268268268267267267267266266266267268268269270271272271272273273274275274276277277278276278277276276277275275275276275275275276276275275274274274274274273273273272272272271271271270270270270270270270270270270270271270270271270270271271270270269270270270271270271271271271271270269269269269270269271272272272273273273273272273273274273274275274275274275275274274274274274273272272271270268267267266267265266266267268269268269269270270271271271271272271272272272272273273273273274274274275275275275275275274274273273273272271270270270269268267267267267267267268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272273271268268268268267266266261262263261258260263263262261261261261260260260260258257258258259258258258259259261257256253255259259258257255257255256257258259260263261258256256250247242233237240239247999251999999999999265255999999260264262266268270272274274273270272273274274273273275281999999272275275278279278277279282284285287287287287285285283281282999999999999999999999999999999999999999999999999999999999999999999999999999285285287286292291289287280999279280292297286999999999999999999999999999999999999303298289284280279279280283284285286287288288284284283284284286285285285285284282283280281280278279281282284287287288291292292294295297296295294294293293293292292291290290290290290289290289289289289288288288288288288287287287287286287286285286287286285285284285286289288287286287287288289290290290289289288287287287287285284284284285285284285283285285285284284284284282284284284283282282282282281282282282280278279279279280279278278278278277278278279275275276277276276277278277277277277277275274275275276275276275275275275274274274273274274273273272271271272274274274275274275275274274274273273273274273272272270269269270269271270267269267266267265264264264264264265265264262261261262262261261262263265265266267267268269269268268268269269268268268267267267268269270271271272273273273273274276276276277277277277278278278278277277277277276276276277277276276276276276276276275275274275274274274274273273272272272271271271271271271271271271271271271271270271270271271271271270269270269270270270271271272272271270269269269270271270271272272273273273273273273273274274273274274275275274275277275275275275274274273272271270268267267267266266267267268269270269269270271271271272272272273273273273273273274273274274274274274275275275275275275274274273273273273272271270270269268267267268267267269267267269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268270270267265264267268265265263261262259258259258258258261261261265263262262260258255260260261260260261262262262260258257257258259261260258259261259260261263263260255259257251247244240232999999999258999999259258260262255253259999261258265262267270273272271272273274275274273274278280999271273275279279279280282284286288289289288284283278283281282999999999999999999999999999999999999999999999999999999999999294293291287999283280277280286292290292291999279278279288302999999999999999999999999999999999999999999999287285283283284286287290291291293292291289287285284285286286289288287286282283284282282281282283285286287289291292293294296297297296295294293293293293292293291291290290289289289289289289290289289289289288289289288288288288288289287287287287289288287287289290288287288288287288289290290291290289289288288289288288287284285285284284284285286285285285285284285284283284283283283282282282282282281282280281279280280279279279278278278279277277278279278279276276275275276276277277273275275275275275276275275276275275276275274275274274273274274273273272272273274275275274274275276276275275274275274274274273273272269268270271270270267267270268268265265265264264264265264263261263263263264264264265264265265265266267266266267268269269268269269268269270271272272272273273274274274275275276277277277278278279278278279277279279277277278278277278276277277277277277277277277277276276275275275275275275275274274273273272272271271271272271271271272271271271271271271271271271271270270270270270270271271271271271271270270269269270271271272272273274274273274274274274274274274273274274275275275276275276275275274274274272272272269268268267267267267268269270270270270271271272272273273273273273274274274274274274274274274275275275275275275275275274274274274273273272271270270269268267268268268268268267268269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262265264265265266264261264260265264265266265264264262262264265263262260261262263262263263263263262262257260261260261260259261265262260262262265263258254256256253249245243240246247253254256255259259251255256254260255258270270267268271271269265269272273274273276277277282279276278278279281283285288290290291291288287286999999999999999999999999999999999999999999999999999999999999999999999295295295290288286999999999999999289295292288999999278277999999999999999999999999999999999999999999999999999291285285287291294295295296297296295297295294291290288288288289289289289284283284284284283283283285286287289290292293294296296297297295293293293292293292292292291291290290289289289289289289289289288288288288288289289288288288288288287287287287288288288289289288288286286286286288288289289288289289289288288289290288288287286286286285286285286286285284285284284284284283281282282281282282283282282282282282280279280280279280279279278280278278279280279279278276275277278277277277274273276276277277275275274276276276276275274275275274274274275274274272272272274275275275276275274276275275275274274274274273273272271270270270271271269270270269266266263265264264264265263263265265264264265267265267266267267267266266266266266267268269269270270271272273274274274274275275276276276277276277278279279279279280280279279278279278278278279279279279278279278278278278278278278277277277277277278278277276276276275274273273273273272273273272272272272272271271271272272272272272271272272271270270270271271270270271271271271271270270271272272273273273273273274274274274274275274274275275275275276276276275275275275275274273273270269269268268267267268268269270270271271272272273273274274274274274274275275275274275274274275275275275275275276275275275274274274274274273272271270269267268271267269268268268268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263267265270271269268270268266265270268271270268268266264266267266264263263263264264264263262262262262261260261260261261262261264263262262261264265259254255257254249245239245248254256251250249252252253254256258256257253265267265263264265268271272273274276277277280282999272276279277280286291292292292292292292290292288999999999999999999999999999999999999999999291282281999999279286999291293297297301288999999999999999999999292293283999999281290288999999999999999999999999999999999999999289292290289291294297300300301300300299300299299297298296295294293292292292291288286283284284284285285285286288289290292293294296297297298297295294294293293293293293292292291291291290289289289289289289289289289289288288288289288288288288289288290289288288289288289291290290289289288289289288289291291291289289289288289290291289289288287287287286286286286285285285284284284284282283282282282284284282282281281282282281282281281278282281280281280279279281280280278278277277278275275274277274274278277278279277277276276276276276276275274275275275275273274274273270273273273275275276276276275274275275275274274274273272271270271270270270271271271268265266267266266265265264265264263264265265266267266267268266267268268268268269269269269270272272273275274274274275276276276276277277277277277278279279279279280280280281280279278280279278279279280280279278279279279279279279279279278278277278278279278278276276276276275274274274274273273273273272272272272273273272272272271272272272272272272271271271272271271271271272272273272271272272272273274273273274273274274275275275274274275275276276276276276276276275275275275274272272271269269269268268268269269270270271272272273273273274275276275276275276275275275275274275275275274275275275275276275275275274274274274274272271271270269268268268268268268268268268268270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265266268273275273272271271271272271272272274272274273272270268268267266265266264265265262261262263265264261264263261262263263263264263261264263266257258258257255251240243247253253255255253253255255257262249254248252250259255261261262269273274275277277279278282284287999279280281282289288290293292290290290291291290288999999999999999999999999999999999999999295290999286999277273277292290298296301304309999999999999999999999999999281285285289292293999999999999999999999999999999999286288292295297297299300301303303302301301301301300300300299299298298296297295294291286284286285284285284285287289290291292293294296297298298298296295294294293293293293292292291291291291291291290290291290289290290290291290290290290291291290290290291291290290290292290290291291290290290290289289289290290291291290289289289289290290290290288287287287287287287286286285285285285283283282283282284283284283282282282282281282282282281283283282282281281280280280280281280279279277277277276276277276277277277277279278277277277276277277277276275274274275275275274273274273273273272272273274274274275275275276275275274274274272273272271271271270270270270270269266267268267267267266266267266265266265266266267266267267268268271271271271272272272272274275274275275276276277277277277277276277277278278278279279279280281280281280280278281281281280280280280280279279280279279279279279279280279278277278278277279278278277277277277276275275274274274274274273273272273273274273273273273273273274273273273273273273273273272272271271271272273273273272272272272273273274274274274274275275275275275275276276276276276277277276275276275275274273272271271269269269269269270270270271271271272273273274275275276276275276276275275275275274275275275275275275276276275275275275275275274274274273271271270269268269269268267267268268268269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274273278277273273272274274274273275276277274274275272272270268269268265265265265265261262262263263263262262262262261261262261261261262263265266265264261258257255254255253260259253261262262260260260266258259256252254254256261265268275278277278279282283279286287287286285285285289293289290290289287287288289288287288999999999999999999999999999999999999999293291288278278273274999999299299301304308999999999999999999999999999999289286283286290290999999999999999999999999999999999290294297299301302302303303303303303302302302301301301300301301300299299298297296294292289288287285287288289290292292292293294296297298298299298296295294293293293292292291291291291291291291291291290291291292292292293293293293292290290292292291290289290289289289290291290291291291291290290290289290291291291292290290288290289289289288286286287287287287287288287286286286285285285283284285285284284284284282283283282282282282281282282283283282281282282281281281280279279279278277278277277278278278277277279279279280279279279277276276276276276275276275275275273274272273272271271271271273273274274274274274274273273272273273272271271270271272271271269270267267268268265268266267266266266266265266266267268267269272271272273274274275275275275275276277277276276277277277277278278277278278278279279279279279280281281280280281279280281281279281280280280279279279279280279279280279278278279278279280280280280279279278278278277277276275276276275275275274274274274275275273274274274274274274274274274274274274274274272272272271273274274272272272272272273273274275275275275275275276276275275276276276276277276276276276276276274274274275271270270269269269270270270271271272272273273274274275276276276276276276276275275275275275275275275275275276275275275275275275275275274274272271271271270269269269268267268268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274275275275274274274276276274275277277278277278277276273272272271268267265263266265264263264263262263263260260262263263263261261263264264268271271266266260258259260259260269265258265267259266275274274267265263264262260261270273274279280281283285288284289290291292290290291292292291292289289288286284283286286999287288294294999287290294296297298999999999284288281270270273999999999307999999999999999999999999999999999999999999999285282284285999999999999999999999999999999999294297299301302304304304303304303302302302302301301302301301301301301301300299296296296296294293292291289290290291293294294295296297298299299299299297295293293292293292292291291292291292291292292292292292292293293293292293292292289290290290292292292290291290291291290291290291291292291290290291290291292292292292291288289291289289289288288287287286286287287287287286287287286286285285285285285285285285284283283283282283283283282283283283282282281281282281281280280279279278277276277278277278277280279278279279279279280279278278277277276276276275275274273275273273272273272272272272273272273273272273272273273273272272273273273271271271272271271271270270269268268269268268268268268267267266268268269271272272273274273274275275276277276276277277277278277277278278278277278278279279279280281281281280280281281281281280280280280281281281280280280279279280280280280279279282280280279279279279280283282281281281280280279279278277277276277276276275275275276275275275275275275275275275275275275275275275275275275275274274273272273273274273273272272272273273274275275275275275275275275276276276276276277276277276276276275275275275274273271271270270270270270271271271272272273273274274275276276276276276276276276276275276275275274275275275275275275275276276275275275275275274273272271271270269269268268268268268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274277277276278275277275276278279280280279278275273271270271269268267267268265264262263261261260261258261263264262263262266264263267270272271268270267264265269266266273264264271273268275279279277278272277277276276280281281281282284283288286290292286294295297295292295294293999289289286286284283282999999999999999296292293294292294298297294296295279276273276281277999999999999999999999999999999999999999999999999999999999999277283288294294999999999999999999999999999292297300302303304304304304304304303303302302302302302302302302301301301301301300297295296296296295295295293293294294294295295296297297299299299299298296294293293293293293292293293293293293293294294293294294293293292292292292293292292292294291292293292291292293293292291290290289290290289290290290291292291293294291288289289289291291292289289287288288289287286286286285288288285286283285285284285286285285285284284284284284282282283283283283282281281281282282281281282280280279278278280281278281281281282281280280279280279279278279278277276276276276275275274275274274273272273273272272273274273273271271272272273272272272272272272273272271272272271270270270269270268269269267267269268269268267270273274274275276277276276277277277278278277277278278278278277277278278279278279279280280280281282281280281281281281281280280281281281281282281280280279280280280280280280280281281281281281280280281281282284283284282282282281280279278278278278277276276276276276276276276275276276276276275276275275276276276276275275275275275275274274273273273273273273273273273274275275275275275275275275276276277277277276276277277277276276276275274274272271271271270270271271271272272272273273274274275275276276277277276276276276276275276275275275275275274275275275275276275275275275275274274273272271271270269268268268268268268268269269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276277279278277276276277279281278279280275273272268269270270268268266265263264262263263263263263262263264261265266265265267269269269269270270269269266268269265267271272268276280273279279280276277281279279280281280281281283284283286287290287289290294294296293293293294295999287287287283277276276999999999999999999297297297295297297294289289281284285286288291289999999999999999999999999999999999999999999999999999999999288287291294294295295295999999999999999999294298301303304305305305304304304304303303303303303301301301301301301302301302301301301298297296295296295295296296295295295296297297298299300300300300298295294294294294294294294294294294294294293293294294294294294293293293292293292292293294294294294294294294293293292292293292291291291292291291291291292291293293293292290291291292292292292292291290290290289288287287287287288287285286284285283284286286286285285285285284284284282283283283282281281281282283283283282283282282281282282281280281281280280280280280279280280280279279279279277276277276276276275275274274274274273274274273272272272273273273272272272272273273273272272272273273272272273272272271271270270271270271270269270269270271272273272275276277277278278278277277278278278277277278277278278277278278279279280280280281281281281281281282281280280280280280281281281281282282281281281280280280280280281281281283282283283283283282282283282282282282282282283282282281280279279279279277277277276276276276277276276276276276276276276276276276276277277277276276276275275275275273273273273273274274274274274274275275275275274274275276276276276276276276277277277276276275275275274273273271271271271271272272273273273273274274275275275276277277277277277277277276276277275275275275275275275275275276276276275275275275275274273272271271270269268268268268268268268268269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274277277277278278279276277281281282281281277276272271269268267265263264265264262262260262266265264264266264264268268268269270271271270270270270271270266266271271270274275276278277281275278279279279282282281281282283285286287290288290290291289288292293296297297293292291290289288289284277278279999999999999999999999299297297299999999291288288285289292291288294999999999999999999999999999999999999999999999999999999286284291292294294294294294294999999999999999999296299303304304304305304304303303303302302301302301301300300299300300301301301301301301301300299298298297297297297297297297298299299300301300299300299297295295295295295295295294294294294295294294294293294294294292293293293293293293293294294292291292292293294293292292292293293292291292292291291291290292292291294292290290290292292292290290292292292291292292290290288287287287287286287285285285285285285286286285284284283283282282282282281281281282283284285284283283284283281283283282281282282281280281281280280280280280280280280278278278277277276276276275275275275275274275274275275274273273273273272272273272273273273273272273273272272272273272272272272271271270271271271271270270270271274274273275277279278278279279278278278278279278278279279279279279278279280280281281281281281281282282282282282282282281281280282281281282282282281281280280280280281280281281281282283282283283283283283283283281281281281281281282282281281281280280279279278278278277277277277278277278277277277277277277277277277278278278278278278278277276276277274274274273274274274275275275275275275275275275275275276276277276277277277278277277276276275275275274273272272272272271272272273272273273273274274275275276276277278278277277277277277277276276276276275276276275276276276276276276275275275275274273272272271270269268268268268268268268268269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274277277278278277278280281282282282281279277277272268265264264264267264265262263264263265265266265267266265266268269270271271270271268266268270270275274271271273274274278275275278999999276276279280282283284283287288289290289287288292292289290289294292295299298293291293291289288282279999999999999999999999999999999999999999999999999999284278282285282283999999999999999999999999999999999999999999999999999999999282286288291292293293292293294294999999999999999294297300302304305305305304304303303303302301301301300300301300300299300300300300300301301301301301301301300300300300300300300300301301301301300300300299297295295295295295295294293295294295294295294294294294293293291291293293293293293294294293293292293293292293293293292293293293293293293292292292292292292291292291293292292289292291292292291291292292293293292292292290288288287287287284286286286285285285285284284285285283283283282282282283283283284285286284284285284283284283285283282282281281281281281281281281280280280280280280279279278277277277276276275276275275275275275275275275275275274274274273274273273274274274274273273273273273273273273273272272272271271271272270271271270274276276276278279279280281280279278279278278279279278278279280279280280280280281281281281281281281281281281281281281282281281280281281281281281281281280281280280280280281281281282283283283283283283282283283281282282282280280280280280280280280280280280280280280279279278278278279278278278277277278278278278278278279279279280280280279279278278276275275274274274274274274275275275275275275275275275275276276276277276277278277277277277276276276275275274273274273273272272272272272273274274274274274275276276277277278278278277277277278277276276276275276276275275276276276276276276275275275275274273272271271270269268268268268268268268268269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280280279280281280280282284280280279276274270267266262261263270266264265264266267268267267267266262266266268269270272270267269268270271269275275274269267273274273273999999999999999999273278282283284284286290290289289289289289290290291292290296296299299297294289283283286284999999999999999999999999999999999999999999999999999999283279276278279287299999999999999999999999999999999999304305304300300999999999288291290291290291293293293293295294293290288292295299300303304305304304304304303303302302301301301301300301301301300300300300299299299299300299299301301301302301301302302301301301301301300300300300299297295295295295294294293294295295295295295295295294294294294293293293293293293294294294294294294294294294294293292292292293294294294293292293292293291291293293293292293292293293292292292292292292292293293292292291291291290289289289288287287287288287288288288287286286285284284283282283284285285285285285285285285284283284284284282282282281281280280280281281280280280281280280280279279278278279277277276276276276276276276275276276276275275275275275274275274274275275275274273274273274274274274274273273272272272272272272272271272274276277278279279280281281280280279278279278278278279279279279280280280281281281281280281281281282282282282281281281281281281280280280280281281280281281281281281281280281281281282282284283283283283283282281281281281280281280280280279280279279279280279279280280280280279279279278280279278278278278278279279279279279280280281281280281280280279278277277276275274274274274275275275275275276275275275276276276276276277277277279278278278277277277276276276275274273273273272272272273273273274274274274274275276276277277278278278278277277278277277276276276277277276276276276276275275275275275275274274273272272271270269269268268268268268269269270271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278277279283282282283282282280277279277276273271265268265265268266266267266262263265265268269267267266269266267268268270269263266268269274269274274269273272275275274999999999999999999999274275282281284289289291289290291289288289289289293292296299299296296298292285286999999999999999999999999999999999999999999999999999999999999295287282271271281288290999999999999999999999999999301303301302300300298299999288289287288288289291292295296297296295295295293295298300301303304305304304304303302302302302301301302301301301301301300300300301300299299300299299299300300300300301301301301301301301301300300300300300299296295295295295295295295295295295295295295295294295295294294294294294294294294294294294294294293293293292293293292292291293294294294293293293293292292290292291293293293293291291291291292292292292291293292292292292290291291291291291289288287288288287288288288285285284284283283284285284285285286286286285285285285286287284283283283283282282281280280280281280281281281281280280280279279279279278277277277276276276276276276276276276276276275275276276276276276276276275275274273273272274274274275274274273273273273272271272273273274275278279280280280281280282281279279278278278278279280279280280281281281281281281281281281281281282282281282281281281281280280280280280280280281281280281281281281281281281281282282282282282282282282282282280280282280280280279280281279279280279279278279279280280280280280280280279279279279279279279279280280279279281280281281281281281281280279279278278277276275275275275275275275275276276276276276276277277276276277277277278278278278278278277277277276276274273275273273273273273274274274274274274274276276276277278278278278278278278278277276277276277277277276276276276276275275275275275274274274273272272270270269269269269269269269269269271272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283278277280282281282281284282282279277276275268268270268269268269269266264264265266267270270270272269271269269272268268271270271270272275275276269272273274278275274999999999999274274274274279280283288289288289289290289289292289295292295295295299295295293295292288281999999999999999999999999999999999999999999999999999999999999999999292272272275281283291287999999999999999999999299299299299298298298299293286287292290291293295295297297297297296297297297297299300301302304305304305304304303302302302302302302302301302301301300300301301300300300300300299299299300300300299300300301301301301301300300300300300299296295295296295296296296296296296296296296296296295295294294294294294295295294294295295295293294293294294294294293292292294293293293292293293292292293291294294291292292292292292291292292292292292292292291291291290291291292292293289288287286289288286287287288287287285284285285285285286285285286286286287287286286286287284282283284283284280281280280280280280280281281280280280280279279279279278278277277277276276276276276276277277277276276276277276276276277277277276275275275274273274274274275274274273273273273273273273273274276278279279280281281279281282280280279278278278279279280280280281281281281281281280280280280280281281282281281281281280280280280279280280279280280280280280281281281281281281281282282282282282283282283283281280280280279280279279279279279280279279278278278279280280280280280280280280279279280280280280280281280280280281281281281282282281281281280279279278278277277276275275275275276276276276276277276276276276276276276277278278279279278278278277277277277276275274274274273273273274274274274275274273275276276276277278278278278278278278278277277277277277277277277277277276276276275275275275275274273273273271271270269269269269268269269269270271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278279285283282282283283282279279279275269274274273271270267266267266268268268269269271272270270271270269268269269270271276271272277276276273273275279280280278273272274278276281282282286284289291291290290288291292292290291296294296296298299298294290291290284282283999999999999999292292999999999999999999999999999999999999999999999268269273279275280999999999999999999999295298299299299298298297295294293292293295295296296296296296296296297297298298298299300300302304304305305304304303303302302302301302303302302301301301301301301300300300301300301301300299300299298297300300301301301300300299300300299299297296296296296296296297297297297296296296296296295295294294294294294295294295294294295295294294294294294293293294293293294293293292292292293293292292292292294291293292292293292294293292293291292292293292292291290291291292291291290290290290290289288289289289288288286285285284284285287286286287286286287287287286286282283283283284283283281281280279280280280281280280280280279280279278279279278278277277277277277277277277277278277277276277277277277278278278277276275275275275275273274275275276275274273273273273272273273274277278279280280281282281280282282280280279279278278278279279280281281281281281281280280280280280281281281281281281281280280279279279280280280279280281280280280282281281281281281282282282282282283283283282282281280280280279280279279279279280279279279278277278279280280280280280280280280280280280280280281281281280281281281281282281282282282282281280280280279279278278277277276276276276276276276276277277276276276277276277277278278279279278278278278277277277277276275274274274274274274274274274275274274275276276277277278278278278278278278278278277277277277277277277277277276276276275275275274274274273273272271270270270269269269269269269270270271272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282278280287283285282284283283280279276279274273274274271271270270269270271270269269267270271269267274269268269269269269271274275276277278278274276276281282283279279279281280283283285288289289290288291291287286291293291291294292292296295296297298295287289291285280281284288999999999292301999999999999999999999999999999999999999999999288285286289289293999999999999999999293295296299298298297295296295295295295297298298296296296297297297298298299298298298298300300301303304305305304304304304304303303302303303303302301302301301301300300300300300300300301301301301299298297298299300299300300300300300300299299298297296297297297297298298298298297297297297296296296295295294294294294294294295294295294295294294294294294294294294294294294294294293293294293294293294294294294294292292293293294294293292293293293293292291291291291292292292292292291291291291291290291288289288287287287287287287287287287287287286287287287286285285284284284283284284283282281280280280281281281281280280280280279279278279278278278278278277277277277277278278279278278276277278277277278278278277276276275275276275274275276276276274274274273273273273274275276279280280281282281282281282282282281280280279278278278279280280280281280280280280279279279280280280279279279280280280279279279279279281280280280280281281281281281281281281281282282282282282282282283283282282284281280280279279279279279279279279278279278278279279280280280280280280280280280280280280281281281281281281281281281281281282282282282282280280280280280279279278278278277277277277277277277277277276276277277277278278279279279279279279279278278278277277276275274274274274274274274274275275275275275277277277277278278278278279278278278278278277277277277277277276276276276275275275275274274274273273272271270270270269269269269269270270271271272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279283284284284284282281282280277281278277276274273271270270268268270268267267268270270268267268266266266265263265268270271275273277272276278276279283283283284282284285285287288289290290290290291285289291292294295296291294295295295297294297292286289288286283999999288999999999300296300999999999999999999999999999999999999999999283286287286285288289999999999999295294296297297297297295295294296296297296296295296295296297298298299298299299299299299298298299300302304305305304305305305304304303302303304304303303303302302302301301300300299299300301301301300300299298299299299299299300299299300298298298297298297297297297297297298298298298297297297296296296295294294295295295296296295294295295294294295294295295294295294294294294294294293294293293293292292293293292291292291292293293293292293293292291291291291291291291291291291292291291291290292291292291290290289289288287288288288288287287287287287286286286285285283285283283283284284284283281280280280281281280280280280279279279279278278278278278277278278277277277278278278279279278278278278278278278278278276276275275275275275275275276275275274274274274273274274275276277280281281282283282282281281280280280280279276278278278279279280280280280279279279279279280280279280279280279279279279279279280280280281280281280280281280281281281281281282282282282282282283282282283282283282282280281280279279279279279279278278279279279280280280280280280281280280280280280280281281282282282281281281282282282282282282282282282281281281281280280280280280280280279278278278278277278278277277277278278278279279280280280280279279279279279279278277277276275275275274274274274275275275275275275276276277277277278278278278278278278278278277277277277277276276276276276275275275275274274273273273272271270270270269269270269269270271271272273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280285290290286284283282283282282281278277274275274272270270270269268268268266269270267271271269268269269269269272273270275277277278275278280280282283283285285283284284285288289288290286289292291289294295293295295293295291293291294294293284292288289288285285288999999999999999999999299302999999999999999999999999999999999999999999281280285289293295295999999999292294295296297297297297297295296297297296296297297296299299300299300300300300300299299299299300301301304304304304305305305305305303303304303303303303303303303302302301301300299299299299300300299299299300300299300299300299299299299299299299297298298298298298297298298297297297297297297296296296296294295295296296297296295297295295295296296295294294296296296295295294294293294294293292292291291291292293293292293294294292293293294293293293290292291291291290291291291291291291290291292291293289291288287288287286288288288288288286286287286287287286286286285285283283283284284283283281281281280281279279279279280279279279279278278278278278278278278278277277277277277279278278279277278278278279278277276276275275276275275275276276276276275274274274274274275276276279280280282282281282282281280282280280280280280277277278279279280280280279279279279279279279279279279279279279279279279280279279279280281281281280280281280280281281281281282283282282282282283284283283283283283283282281280279279278279280280279279280279279280280280280280280280280280281281281281282282282282281282282282282282282282282282282282282281281281281281281281281281280281280280280279279279278278278278278279279279280280280280280280280280280280279279278278277277276275275274274274274275275275275275275276276277277277278278278278278278278278278278277277277277276276276276275275275275274274273273272272271271270270270270270270269270270271272273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283288289288286283284281277281277277275274273270271270270269270268268269272272270271272273272274270271270272271273271270277279279280279278281282282283285284283285284284289290291292293291293293291295296295293294293291290292291292999292283287289288290290289289290999999282289999999300296999999999999999999999999999999999999999282283285288292294291290294293290291293296295295297297295296297297297296298298297297298300300300301301302302301301301299298299299300300303304304304305305306305305304304304305304304304304303303303303302302301300299298298299299299299299300300300300300300299299299299298298298299300299299299298298298298298297297297297297296297296295296295296296296296296296297295295295295295295295295296294295295295295295294294294294293292293293294294294295294293294293292293293293292293292291292293293292291291291290290290291292292292293293291290291288288287286287288286287286285286286285286286285284286284285283284284284283283283284282280281280280279279279279279280279279279278278278278278278278279278277278277279278279279278278279279279279278277276276276276276275275275276276275275275275274274274276276276277280280281282281282281283281282281281280281280277277277277279280280279279279279279279279279279279279279279279279279279280280280280280281281282280279280280280281281281281282282282282282283283284284283283283283283283282281280279279280280280281279279280279279279279280280280280281281281282282281282282282282282283282282282282282282282282282282282282281281281281281281281281281281281281281281281281280280279279279279280280280280280280280280280280280280280280279279279278277277276275275275275275275275275275275275276276277277277278278278278278278279278278278278277277277277277276276276275275274274274273273272272272271271271270271270270270271272272273273274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280284287286287288287285287283280276275275274272270270268268269270271270273271268268267267271273274272271270272275272273274275274278279278280280280282281283283283286284286289290291290293294292294293292296296297296296294296290291290294999999284287288288290292292290291284285283285999284290292999999999999999999999999999999999999286288287289292294294293294293292290290292295295295296297297297299299300299299299299299299300301302303302303303302301301300300300300300300302304305304305305305305304304305305304304304304304304303304303303303303302301298298298299298299299299300300301300300300300300299299299299299299299299299298298299298298298298298297297297297296295295295297296296296296296296296296296296296296296297296295296296295295295295296295295294295294294294294294294294294294293293293293293293292293292292292292292291292293291292292293292292293293292291290290289290289288288288288287286286286286287286286284285285283284284284284283283284284283283281280280279279279279279279279279279279278278278278278278278278278279279279279279279279279279279280280280278278277276276276275275275276276276275275275275274274274276276276277280280281280281282282282281281280280278278278277277277278279280280279280279279279279278278279279279278278279279279279279280280280281281281281280280280280280281281281282282282281282283283283284284284283282282282282281282282282281280280280279280280280280280280280281281281281282282282282282282282282282282283283283283282282282282282282282282281282282281282281282281281281281281282281281281281281280280280280280280281280280281281281281280280280280280280280280279279278278277277276276276276276275275275275275276276276277277277278278278278278278279278278277277277277277277277276275275275274274274274273272272272271271271271271271271271271271273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286287286290286283284279279278277275273272271270270270270271270275277274276276276276277279274275274275277275272274276277278278279281280281281282284285286288289287290290291291293294296294294294295294297297297295298297292291288287288286287290291293293295293287293285284281278284301303999999999999999999999999999999999283284287290291292293292293294294294292293294295296296297297296298299299299299298298299300300302302304303303303303304303303302301301300301300302303304305305305305305304304305304304304304304304304304304304304304304303302300299299299298298299300299300300300300300299299299299299298298298298298298298298299298298298299299298298297297297296295295297296297297296295295297295297297297295295297296296296296295295295296294296295292294294294294292294294294294294294293293292291292292292292292292292292292292292291292292293293294293293292291289289289289289289289287287287285285285286286286285283283284284283283282283282284283283283283283282280279278279279279280279279279278278278278278278279280280282284284284284283282281279280280281280280279278278277276276276276276277276276276276275276274274274275276276277279279280281281281282281280279279280280279277277277278278279280280279280279279279279279279279279279278278279279280280280280281281281281281280280280282280281281281282282282282282283283283284284283284283283282283283283283283282281281280280280279280280280281281282282281282282282282282282282282283283283282284283283283283283283282283283283282282282283282282281282282281281281281281281281281281281281281280280280280280281281280281281281280280280280280280280280280279279278278277277277277277276276276275275275275276276277277277277277278277278279278278278278278277277277277277275275275275274274274273273273272272272272271271271272272272272273273273274274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292290288288284280280279276275275273271273268268267272269270272273275273273274274274274277272278275275278276278278277279279280281281283283285286288287290288290288291293293290293294294295297294296296295296298293292292294291291288290291291294295294296296294286999999999999294296999999999999999999999999999999999284285292292293291291293293293293295293293295295296297297297297300300300300298298299301302302303303304303304303304304303303303302302302301301301303304305305304305304304305304304305305304304304304304304304304304304304304302301300299298298299298299300300300300300299298298299299298298299297297299298298298299298298299299298297297296297296296295295295295295295294295296295297296296296296296296296296296296296296295294294292292293292294291293293293294293293293293292292292291292291291291291291291291291291290291292292293293293291291290289290290290289288289288287286286285285285286286285285283282284284284284283283284283283283283282283282280280279278279279279279278279279278278280281283284284284285285285286286285285282282281281281280280278278279278277276276276276277277276277277275275276275277276277276279280280280283281281281281280281278280279279279278278279279280280280280280279279279279279278278279279279280280280280281281281281281282281281281282281282282281281282282282283283284284283284285284284283282283284283283283283283283282280280280281280281281281282282281282282282282282283283283284284284283284283283284284284284284283283283283282283282282282281281281282282281281281281281282282281281281281281281281281281282281281281281281280280280280280280280280280280279279278278278278278277277277277277277276276277276277277277277277278277278278278278278278277277277276276276276275275275274274274273273272272272272272272272272272272273273273274274274275276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297291290288285281279279278276276275274272267269268272268275271273273275276276270273272276275280278277280281282282283283282282281282283284286286288286287289289287288293293291296295294294293294295294294299295297293297297292295291295290291295295295294294294290999999288292293999999999999999999999999999999999285288292293292295294293295294294294295295294294295296297298298298299299299299299300301302303303303303304303304304304303303304303302302302301301301302303304305305305304305305304304305304304304304305304304305305305305305304304303301300300299299299299300300300300300299298298298299299300300300301301300300299299299298298298298297296296297297297295295296295296296295296296296296296295297297297298297297297297296296295295295294295295295294294294294294293293293293293292292292291291291291291291291290290289291290290291292292292291290290290289289289289288288289288288287286285285285286287286285284284284285284284284284283283283283283283283283283280278279279279279279278278280281282283284284284284284285285286286286286286284284283282282281280279279279279278277276276276277277277277278276275276277277277277277279281281282282281282281281281281280279281280280278278278279280280280280279279279279279279278279280280280280280280281282282282282281281282281281282282283282281281281282282283283283284284284285284284284284284284284284284284283283282280281281281280281282282281282282282282283282282284284284284284284284284283283284284284284284284283283283283283282282282282282282281281281282282282282282282282282282281281281281282282282282282282281281281281280280281281281281280280280280279279278278278278278278278278278277277277276277277277278277278278278278279279278278278277277277276276276275275275274274274273273273272273272272272272273273273273273274274275275276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294289287283280280280279278275274270272268269266270269271274275273275274273274274273276275280280278283284285285286285284284283284284284287286287287288290290289293293293293292295295295296295295299299296298297296296299298295299298293296295297296296296293291999290283282284999999999999999999999999999999999288293297294293298294295299299298299297295295294296296296297298298298298299300300301302303304304304304304304305304304303304304304303302303302300300301303305304305304304304305305305304304304304304304305305305305305305306305305304303302301300299299299300300300299299298298298298298299301301301300301301299299299298298297297297297296296297297296296296296296297297296296296297297297297297298299298298297297297296296295296295295296293295294293294292294294293292293292292292293292291292291291291290290291290290289288289290290290290290290290289289288289289290288289289288287288286287287288286285284284282283284283285285284284284284283284283282282282281281281280280279280281283284284285285285284285284285286286287287287286286285285284284283281280280280279279278277277277277278277276275277276276276278278277277280282282282283283282281281281282281280280280279278278278279280280280280280279279279279279279280279281281280281281282282282282282282282283282282282283283283283283283283283283283284283284284285285284285285285285284285283284283283283281281282281282282282282282282282283283283283283284285284284284284283284283283283283284284284284284284283283283282282283282282281282282282282282282282283283283283282282282282281282283282282282282281281281281280280281281281281281281281280279279279279279279279279279279279279278278277277277277277277278278278279279279279278278278277277276276276275275275275275274274274273273273273273273273273273273274274274274275276277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294288282279279280278277276275270272273275271275273278278273273271272274277275276277276280281281283285285286287287286286286286285286286287287288288291291290290293294295294294295294295296297300297296294298297295291297300300295295297297299299297299295294290290279999999999999999999999999999999999999999291295300298295295296296296296296298297296296296297297297297298298299300301302303303304305305306305305305306306306304304304304304303303303302301300301303304304304304304304305305304304304304304304305305305305306306306306306306305304304303301299299300299299299299299298298298299299299300300300300300300300300298298297297297297297297297298297297297297297297297296297298297298298298298299299299298298298298297297296296296296296296295296295294294294293293294294292292293293293292290291291291290290290290290290288289288289290290289290290289289289287289289290289289288288287287286285287289286285286286285284284286286285284283284284284283283283283283283282282283282282283283285284285285285285284284285286286286286287286286286286285284284283282282281281280279279278277277277277278278277277277276276277278278279279280280283281282282281281282281281280280276275278278278279280281280280280279279279279279280280280282282282282282283283283283283284283283284283283283283283283284284284284283284284284284284284285285285285285284284284283283283283283282282281282282282282282282282283283283284284284284285284285284284283284284284284283284284283283284283284283282282282283282282282282282282282283283282282282283283283282282282282282282282282282282282281281281280281281281281281281281281280280280279279279280280280280280280280279279279278278277277277278278278278279279279278277277277277276276275275275275275274274274274274274274274274274274274274274274274275275276277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288281279277279278277277275272274272272270274272278277273273273273277277275278277279281281281284285285288288287287289288288289289288288288289288291292291290290294296294293294295295297298301296292295298292296296297296298298296298300297299298298298299291289999999999999999999999999999999999999999288289296297298297297296296298298297299298297297297297298299300301301303303303304304305306306306305305305306306306306305304303305305304304303301300300301303304304304304304304305305304304304305305305305305305305306306306306306305305305305304303302300301300300299299299298298299299299299299300300300299300300299299299298297298297297297297298297297298298298298298298298298298299298299299299299298298297298298297297296296296296295295296296296295294293292293293293294293292292292292291291292291290291290289289289289289290289289289289288289289289289289289290289289288287287287286285285286286284284285286286285285285285284284284284285284284284284283283283283283283284284285285285285285285285284285285287287286286286286286286286286285284284283282281282281281280280280278278278278279279278278278277277277278278280278279280281281282281281279281280279279279276277278278278279281280280280280279280279279279280281281281281282283283284283283283283284283283283283282282282283283284283283283284284284284284284285285285285285285285284284284284283283283283283281282283283283283283283283283284284284284285285284285284284284284284284284283284283284284284284284283282282282283283283283283283282282282282282282282282282282282282282283283282282282282281281281282281281281281282282282281281281282281280280280280280281280280280280280280280279279278278278278278278278278278279278278278277277277276276276275275275275275275274274275275275274274274274274274274274275276277277277278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999999999999999999999999999281278276278279278278277270268268276275276274272273275275274277277278276279278281282282284285285286287288289289290290291289290290289288290290292294294294293294292294295294295296295294299301301299299297298298298298299298299301300299299300299298296294291999999999999999999999999999999999999999288294297299297297297297297299298300300298299299299299299301302303303304305305305305306305305305305306306307307306306306305305305304304303302303302302301303304304305304304304304304305305305305305305305305306306306306306306305304305304304305303303301301301300300299299299298298299299299299299300299299299300299298298297297298297297299299300298299299299299298298298298298298299299299299298299298298299298298298297296297296295296296296296296295295293294293293294294293293293293293292292293293292291291290290291290290291291290289289288289289288288289290289289288288288287288286286287286287285285286287285285285285284284285285285286285285285284284284284283283284285285285285285285284284284284285285286287286286286287285286285285285285285283283282281281280281280279280280279279279279279278279279277278279280280279279280281280281281282280280280280280279278278278278278279280281281281280280279279279279280280281281281282283283283283283283284283284284284283283283284284284284284282283284284284285284285285285285285285285285285284284284283283283283283283283283283283283283283284284284284285285285285285285285285284284284284284284284284283284285284284283282282283283283283283283283283283283283283282282282282283283283282282282282282282283282281282282282282282282282282282282281282282281280280280280280280281281281280280280280280280279279278278278278278278278279279278278277277276276275276276275275275275275275275275275275275275275275275275275276276277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278999999999999999999999999999999280279280280279279276275269277277277271272271273271277279279278278277279280283283284285285286286287288289290291290292290291292292290291292294291291291293294292293292291296297298298300299300300300297299299299300302300300298299300300301301296294295291999999999999999999999999999999999999999290292299300299299297297297298298299300299299299299300303303304303304305305305305306306306306305306307306307307306307307306305306305304304304303303302301302303304304304304304305305305305305305305305306306306306306306306306306305305305305305305304303302301301300300299299299298299299299299299300300299299299299299299299299299298297297299299299299298298298297296297298298298298298298298299299299299299299299298298297296296297296296297296296295295294295294293293292294293294293292293293293293293292290290290290290291289291291290291290290290290290291290289289289288288287290290288288288288287287287288286286285284285284285285286285285285285284284284284283283285285285285285285285285284284286286286286286286286287285286285285285286285284282282282282281281280280281281280280281280278279279280278279279277278278279280280279280282281281280280280280277275276278279278278280281281281282281281280279280281281281282282282282283283283283284284283284284284283284283283284283284283283283283284284284285285284285285285285285286285285285284284284284284284284284283284284283283283284284284285285285285286285285285285285285285285284284284284285284284284284284283283283283282282283282283283283283283283283282283283282283283283282282282283282282282282281282282282283283283283283283282283283282282281281281281281281281281281281281281281280280280279279279278278278279279279278278278278277276276275275275275275275275275274275275275275276276275276276275276276277277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999999999289292999999286282284284281279279281278277276278272271272277278279281280280281281283285286287286287287288287288289290291291291292292292292293291293292291292292292292292293294292293298298297295300299296298300300299299300300300296298300299300300301300297296295289289999999999999999999999999999999999999291296298298299299298299299298299299300301302301302302304304306305305305305305306306306306305305306306307307307307307307307306305305305305305305303302302303303304303304304305305305305306305305305305306306306306306307306306306306306305306305305304303303302301300300300299299299299299299300299299299298298299299299299299299299299298299300300299298298298297297297297297297297297297297298298298299299299299299299298298297297297296296296296295295295295295294294293294294294294293293294292293293293292291290290290292293291292291292292291291290289289291290289289290290290290289289289289287288289288288289289289286288285285286285285285285285284284284284284284284284284285284284283285284285286287286286286287286286286286285285285285285284284283283283282281281282281280281282280281281281281281280280281280277278277279279278279279279277277278279278279279280278277279279278280282282282282281281280280280280281281282283283284283284284284284284285285285285284284284283284283283283283283284284285285284285286285285285285285285285285285285285285285285285285284284284284284284284284284284285285285285286285285286286285285285285285285285284284284284284284283283283283283283282282283282282282283283283283283283283283283283283282282282282282282282282282282282282283284284284284283283283283282282281281281282281281281282282282281281281280280280279279279278278278278278278278278277277276276275275275274275274275275275275274275276275276277277276277276276277277277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999999999295298295288286285283282285286282282280276272275278279279281282282282283283285287289288289289290290290290291291292292292293293292294294292296294293292293293293294296296297297298301302302301300297298300299299300300298297296297296298300301300297297297295296295999999999300299999999999999999999999292296297298299299299299299298300301301303304303303304305305305305305305305306306306307306306306306307306306306306307307306306305305305305305306303302302303303303303304304305304305306306306305305306306306306307306307307307306306307306306305305304303303302302301301301299299298298299299300299298298298299299298298298299299299300300299299299298298298298297297297297297297297298298298298298299299300300300299299299298297296297296296296296296296296295295296294293294295294294294294294293293293294293292291292291292292292293293293291291291291291291291290291289290289290290290290290289290290289290290292290290288288287285285288285286286286285285285285284284284285285285285285286286286286287286286286286286287286286285285285285286285285283284283283283282282282280281281281281282282282283282281281281280279278278276277278278277276278278278278278278279279280280279279279280281282282282282280280280280280281282282284284284283283284284284285284285285284284284283284284284284284284284284284285285285285285285285285285285286285285284285285285286285285286284284284284284284284284284284285285285286286286286286286286286286286286285285284284285284284284283283283283282282282282283283283283282282282282283283283283283282282282282282281282282282282282282282283284284285284284283283283283282282281281281281281281281281281281281281281280280279279279279278278278278278278278278277277277276275275274275274275275275275275275275276276277277277277277277277277277278277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288292295999999999289292288287285283285284280275279275276276279279282282283283284284285287287288289290289290290291292292292293292294293294294295296297297295295295296297297296297297299299300300303302303304300300300299300300297297299298299299300300301300296298299297297295999999999301999999999999999999999287294294296297298299299299299300301302302304305305305305306306306306306306306306306307306306306306307308306306306306307305305306306306306305307304304303302303303303304305305304305306306306306306306306307306306307307307307308307307306306306305305304304303303303302302301300299300299299299299300299298297299300300300298298299300300300299299299298298298298297297297297297297298298299298298298299299299300300299299299299299297298297297297297296296296296295295295294294295295295294293294294294294293294294294294292291292293294295294294293293292292291292292291291291292291292291291292291291291292291291291291288290289288287288286286286286286286286285285285284285285285285286286286286287286285286286286286286286286285285285285286286285285284284284284283283284283282282282283282282283283283281282282279280280279279279279279279279277279276279280280280280281282278280279280281282283282282282281281280281280282282283283284284284284284284284285285285284286285285284284284284284284283284283284285285285285285285285285285285286285285285285285286287286285286285285285284284284285285284285285285285286286286286286286286286286286286285285285285285284284284283283282283282282282283283283283282282282283283283283282282282282282282281281282282282282282282282283283284284284284284284283283283283282282282282281281281281281281281281281281280280280279279279278278278278278278278278278277276276275275274275275275275275275275276276276276278277277277278277277277277277277277277276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299296296296297293291288284285282281278276275276277278280281282283285286285287287287288289290291291292292292293293293293294294295296295296295296295297297298298297298298299300300301301302303302302299299300297299299301300300297298298300300301300302300298295296297999999301301999999999999999999999292293294297297299299299300300301302303304306306305305307306306306307306307306306306306306306306307307309307307306305307304307305306305306306306305304303303303303303304305305305305306306306306306306306306306307307307308308308308307307306305305304303304303303303302301301301300299299299299299299298297298300299299299299299300299301300301299299298298297298297297297297296296298298298298298298299299298299299298299299299299297299299298297298297297297296296296296296295296295295295294294295293293293293293293293293291293294295295294293293294293293293292292291292291292291292292292291291291292291290289289290291288288288287288288288288287287287287286286285285285285286286287286286286286285286285285286286286286286285285284285285285284284285285285285284284284284282282283284284283283283284284284280281281282279279279281281280279279278278280280280280281282281281279281281282283283283281282281282280280281281281283284284284283283284284284285286286285286284285285284284284284284284283283284285285285285285285286285285286286285285285285286286287287286285285285285285285285285285285285285285286286286286286286286287287286286286286285285285285284284283283282282282282282282282283282282282282282282283282282282282282282281281281282282281282282282282283283283284284284285285284283283283283282282282282282282282281281281281281281281280280280280280279279279278278279278278278277277276276275275274275275275275275275276276276277277277277277277277277277278278278277277277276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296296293291291289287283279274277275274275277279281282284286285285286287288287289291291293294294295294294294294294295294295296296296297295297298297294298298299300301301301301304301302302301301298298300301302302299297300300300300300301300297296296296999999999999298301999999999291289289294294296297298299299298300301301303304305306305304306307307306307307306306306306306306306306306306307307307306306306306306307306306306307305305305305303303303303304304305306307306306306305306306307306307307307308308308309308308307306305305305304304304303303303302302302301300299298298298298298297297298300299299300299301300299301301301299298298297297298295297298298298297298298298298298298298298298298298298297298299299296298299298298298298298297297297297296296296296295295294294295295294294293294295295293291293293293295294294293293294293293294293293293292292292292292291292291291292291291289289289290289289289289290287288288288288287286287286286286285285285286286286286286285285286285285285285285285285286286284284283284285285285285286285286286285285284285284283284284284284284283283283283284283283282282282282280280280279280278280281281281281280279281280280283283283283283282282282282282283281281282283284285284284284284285285286286285285285284286285284284284284284284284283283284284285285285285286285286286286285285286286287285286287286286285285285285285285285285285285285285285286286286286286286286287286286286285285285285285284283283283282283282282282282282283283282282282282283283282282281281281281281281281282282282282281282282283283283283283284285285285284283283283283282282282282282282282282281281282281281280280280280279279279279279279279278278278277277276276275275275275275275275276276276276277277277277277277277277277277277277277277276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298297296290287290287284283278277274273275276277281283284285286286286286288288289291291293294295294294295296295294295296294295296296296296296298301298298298299300300301300304301301303303304302300298301302302302302301300300299297298300300299298299300299296296999999999302999999999292292291293295297298298298298299300301302304304304304305305307305306306307308307307306308307306306306307307306306304306306306306307306307306306306305305305305304304303304304304305306307307306306306307307307307307308308308308307308308307307306306305305304304303303303302302302302303301301299298298298297297297299300300300301301300298301300300300299298299298298298298298298298298299298299299299298298298297299298298298298298299298298299299299299299298298297296297297296296296296296295295296295294294294294295295296294294296293294294294293293294292292292292291292295292292292292292291291291291291291290288289289289288289289288289288288289287288288287288287287286285285285285286286286286285284285285284285285285285285285284285285285285285285285285285286285286286286286286285285286285285285285285284285285284284284284281283280282280280282280281281279280281280280278280282283283283283283283282282282282283283282283282283284285285285285285285285285285285285285285285285285284284284284282283283283283284284284285285285285286286286285286285286286285285286286286285285286285285285286285285286285286285286286286286286286287287286286286286286285285284284284283283283282283283282282282282282282282282282282282282281281281282281282282282283282282282282282283283283283283284284285285284283283283283283283282282282282282282282282282282281281281281280280279279279279279279279278278278278277276276276275275275275275275275276276276277277277277277277277277277277277277277276276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296296292290286284280277275274273272275276277281282282285286287286288289288289292292295294294294295295296296297297297297297296297296297296299300298299300300301300299300302305304304303301302301301302302300299299297301297298298299299297299300300298302300299300298296301999999287289290290293295296298298299299300302303305305304304304305306307306306306307307308308307307306307306308307306307306306306306306306307307307307307306306306305305304303303304304305304305306307307307307307307307308308309308308307307308308307307307306305305305304303303303302302302302302302300300299300299298297297299298299300299299301301302300301302299298299299299298298298298298299298298298299298298298298297299299299297297298298297297296296296299298298299298298298297297297296296296295296296295295295294294295296296293293294294295294294294295294292293293293292292291291291291292292292292291291290290291289291290290290291290290290289288289289288288287287287287286286285285286286286286286286285285285284285285285285285284286286285285284286284284284285285285285286286286286286286286286286287286285285285286283285282282282283282281281282281280281281279281282281281282283283284283284284284283284284283284284284283283283284284284285285285285286285285285285284285284285284284284283283282282281283283283284284283284285285285286286285286285285285285285286286287286286286286286285286286286286286286286286286286286286286287287286287287286286285285285285284284284283283283283283283283282282282282282282282282281282282282282282282283283283282282283283283283283283283283283283284284285285284283283283283283283283282282282282282282282281281281281280280280279279279279279278278278277277277277277276276275275275275275275275276276276277277276276276276277277277277277277276276276275275274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295290292287286281280276275273273273276277281280280285286287287289290289291291291294293294295297297297297297296298298298298298297297298298297299298299300301300301302303302302304304297298303303303300303299300301300299300298300299298299298302303303303302301301299999291292294296295294294294295296298299299300301304304304305305305305306307307307307307307307307307307306308307307306306307306306307306306307307307306307307306306306305305305304303303304304305306307307307307307307308308308308308308308308308309308308307306306305306305304304303303303302302302301301301300300300300299298298298298299299299300300302300302301300298298299299299299299298299298297298298298298298298298298300299298297298296298298298297297297298299298299299299298298297298297297296297296296296296295295294296296295294295295294294295295294295294296295293294294293292292291293293293291293293292291291291291291289291290290291292290291290288288288288288288288287287287287286286286286286286286286285285285285286286285285286286286285285283284286285285285285284285285285285286285286286286286286285285285284282285285285285284282283283281282282283281282282281281282282283284284282283283284284284284284285285284284284284284284284284285285285285286285285285285285285284285285285284283283283282282282283283283283284283284285285285285286286286285285286286286286287287287286287286286286286286286286286286285286286285286286286286286286286286286286285285285285284284284284283283283283283283282282282282282282282282282283283284284284284283284284283283283284284284284284284284284283283284284284284283283283283283283282282282282282282281281281281281281281280280280280279279279278278278278278278277277276275275275275275275275276276276276277277277277276276276277277277278277277276276276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295292289287286283280276274272272274275278279279281282285286288288289290293293291294295295296297297297297297296299299299299297298297299299298300298298298299300302302302302302302303298300303303301301303300300302301300297296300303303303303302303302304304303303300298299300300299298297297297297298298299300302302304305305305305305306306306307307307307307306306306307308308308307307307307307307306306307307306306306306306306305306305305305304304304304304305307308308307307307308308308308308308309308308308306308307306306306306306305304304304303302302302301301301301301300299299299299299299298299299299299300300301301302299298298299299300300300299299300299299298299298298298299298298299299297296296299299298297296297297299298299299299298298298298297297297296297295296296293294295296295295295295295295296296294296296295296295295294294294293291292294294293292292293293292291291291291290291291291291291291291289290290289289290289288288288287286286286286285286286286285285285285285285285285285285285285285285285285285285284284284284284284285284284285285285284284285285284284284283283283284284284283282282282283283284283283283282282283283284284284283283283285285285285286286285285285284285285284284284285285285285285285285285285285284283284284284284284283282282282282283283283284283283285285286285285285285285286286286286286287287287287287287286287287286286286286286286286286285285286286286286286286286287286286285285285285285284284284284284284284283283282282282281282282282283283284284284284284284284284284284284284284284284284284284285284284284284284284284283283283283283283283282282282282282281281281281281281281281280280280279279279278278279278279278277277276276276275276275276276276276276276276277277277276276276277278278278277277276276276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298297295293292290286284280274271270269270273275276278279279281281285287288290291291292293293294295295295295295295296297298297299298298300301299299300302302299303303301302303303303305304305301303303304303303303302301302302300302303301302301302299301301300298298300300302302298297294297298297297298298298298300302303304306306307307306306306306306307307307307306306307308308308307308308308308308307307307307308308306306306306306306306306306306305305305305305306306308308308307308308308308307308308308308308307307307307308307306306306305305305305304303303302301302302301301301300299299299299299299299300299300300301301301301303299299299300299300301300300300300299299299299299299298299298299299298299298299300299298299298298299300299299299299299299298299296297298297296296296295294295296296295295295295295295297297296296296296296296295296294294293293294295294293291292293293292291291291291291290291290290290290289289289289289289289289288288287286286285286286285285285285285285285284285285284285283283282285285285285285284285285285284283284284284284284286284284283284283284283283282283283283284283284284284281280284281283284284281281284284284284283284284284285285286286286287287285285285285285285285285285285285284284284284284284284284284284284284284284283283283283283283283283283283284284285285286286286286286285286286286287286287286287286287286286287287286286286285286286286286285285286285286286286286286286286285285285285285285285285285285284284284283283283282282282283283283284284284284284284284283284284284284284284284284284284284284284284284285284285284285284283283283283283283282282282282282282282282281281281280280280280280279279279279279279279279279278277277276276276276276276276276276276276276276276277277276277276277278278277276276276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292294298295295294292289283280275271268267268270273274275277277278280280283284285286289289291292292293294295295296296296298298298297298298298299299300298299301303303300301305304304303303303305301300302304303303303300302302305302300303303302302302303301302298302302299300302302299299295999297299298298299299300301302303304305306304305305305307306306306307307307307306305307307308307307308308307307308307307307307307307307306306306306306306306306306306305305305305306306307307308308307307307307307307307308308307307307307307307306306306305305304305304304303302302302302302301300300299299299299299299298299298299301301302302301300301301301299299299300299301300299299299299299300300299299299299299298299298297298298298301298299299299299298299299298298298299298297296297297296296294295295296296297295296295295297295297296297296296296294294293295292293294293294294294294291293292292293291291291291291290290290291290290291289289290290289289289288287287287286286286286285285283285285284284284285284285285284284285285285285285284286286286284282284284284284284284285285285284283283283283283281283283283284283284283282282283282282283283283281285285285284284283283285285286286286287287287287286286285286286286286285284284285285284284284285285285284284284285284284284284284283283283283283284284284284285285285286286286285286286286286287286286286286286286286286286286286286286286286285285285285285285285285285285285285286286286285285285285285285285285285285285284284284284283283283283283283283284284284284284283284284284285285284284284284284284284284284284284284284284285285285285284284284284283283283282283282282282282282281281280280280280280280280280280280280279279279278278277276276276276276276275276276275275275275276276276276276276277277277278277277276276276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289295292293297298296293290290284279270267269268268269271273274275276277279280281282283284285287289290292292293295295295297297298299298299299298298299299299299300301302301301302305304302302303303304305304304303303304304302304301300301304302305302302302302306307306301303303302302302302302299299999298298300299300301300302302303306307306306306306307306306306307308306306307307307308308308306307308308308308308308308307307306306306306306307307307307307307307306306305305306306306307307308307306307307307306306306307307307307306306306306306306305305305305304304303303302302302302302301300299300300300299299298299299299301301302303302301300300300300300299299299301301300300300299300299299300300300299299299299300300299300301302300298298298298298298300298299299299298298297295296296294293295296297295297298297296295294298295297297298297296296296295295293293294292293294293292293291292291293293292292292292293291290291291291291291291290291290289289289288288287287286286285286285285284285285285284284285285285285284285285284285284284284286286286286286285285284282283284284285286283283284283281283283283282282281283283283283283283284284283284284284285284282284283283284285285285286287287288288288287287286286286287286286285284284285285285285285285285285285285285285285285284284284284284283284284284284285284284285286286285285286286286286286286285285286286286286286285285286286286286286286285285285285285285285285285285285286286285286285285285285285284285285285285285284284284284283284283284283283283283283283284284284284284285285285285285285285284284285285285284284284284285285285285285284284284284284283283283282282282282281281280280280280281280281280280280279279279279279278278277277276276276276275275276276276276275275276276275276276276276277277277277277276276276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296295296296294297297295294292286281277273270268270270270270272275278277279280281282283285285285287288290292291293295296296297298299300300300299299297299300298300301301302301302305304303305304304304304305302303301303303304304304305301305305304303304304303303302307306303302304303303303303301297300295296299301302301303304304303305305307308307307306308307306308307307307307307309309308308307308308308308308308308308308308308307308307307307308308307307307308308307306306306306305306307307307307306307305306306306306307307306306306306305306306306305305306305304304303303303303303301302302301300300300300300299298300300301302302303302301302300300301301300300300301300300300299299299299300300300300299298298300300301301300300301301300300300300300299298299299300299299299298297296296295296295296298297297297298297296295295298298298298298297296295295296294294295294292293292292293291292291291292291291291292292292292291292292291291292291290290289290290288288288288286286286285286285286286285285285285283285285285285285285285284284284285285285287287286286285284284282282283284283285284283283282282282283283283282283283283283283282283282283284285285285284286284284284283281285285286286287287288288288288287287286286287286286285285284285285285285285285285285285285285285285285285285285284284284284284285285286284284285285285285285286287287287286285286286286286286286286285285285286286285285285285285285285285285285285285285285286286285285286286285285285285285285285285285284284284284283283284284284284284284283283284284284284284285285285285285285285284284285284284284284284284284285285285284284284284284284283283283282282281281281281281281281281280280280280280280280280279279279279278278277277276276276276276276276276275276275276276276276275276276276276278278277276276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294295296295293295295292291290287283279272270269270270268270272273278277280282281284285285286287287288290291293292294295297297300300300301300300300300300300299301302301302303303304305304305304304304305305304303303302302303304305306303307303303305305305304306307307306306303303303304999302300298999295297299302302303304304305305306308308308308308308308307307308307307308308309309309308308307308308308308308308307307308308307307309308307307308308308308308308307307306306306306306306307307307307307305305306306306307307307306306306306305305305305305305305304304304303302303303302301301301301301300300300300300300301300302301302301301301300300300301301301300300300300300299299299299299300300300300299298299299301301300300299299299302301301301299299299299298299299298298297297296296296295297298298298298298297296298297297297298297298297297296296296296296294295295292292292291292292292292292291291291291292292292291292292291290292292291292290291290290288288288288287287286286286285286286286286286285284285285284284284284284284284285285284284286286286285286284284283283282283284284284282282282282281282283282282282283282283283283282280284285285285286286286285284285285287285284286286287287288288288288288287287287287287286285285285285285285285285285285285285285285285285285285286285284284284285285285285285286285285287285285286286286287286286285286286286286286286286286285285285285285285285285285285285285286286286286286286286286286286286286285285285285285285285285285284284284284283284283283283283283283283283284284284284284285285285285285285285284284284283283283284284284284284284284284284285285284283283283283282282282282282282282281281280280280280280280280280280279279279279278278277276276276276276276276276276276276275275275275276275276276276277278278277277276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999291290292293295292289297296295294293288289287287283278274271270270269267269275278280281283285282285286286286286287288290292292293295296297298296300300299299299300300300302299301301301303300301303304305304304304304304303303301300302302303303303304306300304304304305309308306307307306307303305301999999999299295291297300301303304304305304306306307308308309309308308307307309308308307306309309310310309308308308308308308309308308308310309308308309309308308309308308308308307307307306306306306305305307307307307306305305305305306306306306306306305305305305305304305304304303303303303303303303303302302301301301301301301300300301301302302301302300301301301301300300300300300300299299300300299299299299300301300300299300299300301301300300300300298298298301301300299300299298299299298298298297297297297297299299296298297297297299299298298298298298298298297297296296296297294295295296294293292292293293292292292292292291292291290292294292292292292293292288289291289290289289288288288287286287287286286286285286286285285285284284285285284284284284285285285285285285285285285284285284283282283283284283283281281282281281282282282283284283283283282282284285283284285286287286285285286286285285285286286287288287288289288288289288287287287286285285285285285285285285285285285286286286286287287286287286285285285285285286286285286285286286286285286286286287286286286287286286286286286286287286286286286286285285285285285285286286286286286286286286286286286286285285285285285285284285285284284284284284283283283283283283283283283283284284284284285285285286286286285285285284284283283284284284284283283283284284285285284284283283283283283283282282282282281281280280280280279279280280280280279278279279279278277277276276276276276275276275275275274275275274275275276276276277278278278278277276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295294291293999999999293294291288284281282280277273270271269266269270272276280281284285285285286286287287288288289290293293294295296297295298299299298298299299299299301300300300302304301302304305304303304302304306302303303298297302303302304301307303304303304307308307307307307306306306306303300999296298298297301302303304304305305306307307307307308309308308308307308308308308306307308310308308309308309310309309308308309308310312310310310308309308308308308308308307307307306305306305304305304306307306306306305305305305305306306306306305305305305305304304304303303303303303302303303303303302302302301302301301301300300301301302302301301301301300301301300300299300300300299300300299299299299299299300300301301300300299300301300300299300301302302301301301300300300299300299299298298297298299298298298299296297297297298298298298299299299299298299298297296296295297296295295295294295293293292292292288291292291292291291290291293292292291292293293291291290288289289287288288288287287287286287286286285286286285286285286285286284285285285284285285285285286286285286285285285284283283283283284283284281281282282282282282283283283281282281282284283282283283285285286286286286287287284285285285287288287288289289289289289289288287287286286285285285285285285285285285285286286287287287287287287285285285285286286286287286285286286286286286287286286286287286286287286286286286287287287286286286286285285285285285285285286286286286286286286286286286286286286286285285285285285285285284284284284284284284284283284284284284284284284284284284284285285285286286285285285285284283283284284284283283283283284284284284284284283283283283283283283283283282282282281280280280280279280280280279278279279278279278277277277276276276276275275275275274275275275276276276276275276278279279278277277276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292287281281999277272268267268270268271271277279281281282284286289287289289289290291292293294293295294296297297298299298299299299300300301301301301303303305302303304305303304303304304306304304304304303303303302304304304304304304305308307308307306307306306307304303302301304303301301301300304305306306307307307308308308308308308308307308308308308307308309309309309309309310310310310310310310311311312311311310310308308308307307307307307306306306306306305305305304305305305306305305305304304305305306306306306305305305305304304304303303303303303303302302302303302302302303302302302301301301300300301301301300301301300300300301301301301300300301300300299299299299299299298300300301298300301300300301300300300301302302301301301301300300300300300299298298298298299299300298300299297297298298299298298300299299301299299299299299298298298297297296295296294294296293293292291292291292293291291290290291291292291291292292293292291290289289290289288287288287288287287287287286285286286286286286286285286286286286286286286287286286286286286285285285285285284284284284283283283283283283283282283283283283283282281282282283282284284284286285286286287287288286284285285286287288288289289290289290290289289288287286286286286285285286285285285285286286287287287287288287286286286286285286285285285285285285286286286286286286286286287287287286286286286286287287287287286286286285285285285285285285285286286286286286286286286286286286286286286286285285285285285285285284285284284284284284284284284284284284284284284284284285285285286286285285285285285284284284284284283283283283284284284284284284283284284284284284283283283283283282281280280280279279279279279278279278278278278278277277277276276276276275276276276275276275276276275276275275276278280279279277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292287285274999999999268266267268271274277281282284286287287287289290290291292293294294295294294294296295297293298297298298298300301301302302301303302302303304304304307303304304305305305303303303303303303303304303306305304307308306308307308307304304303303303304306305304305305304300304305305306307308306306307307309308307308308308308308308308308308308309309309310310310311311310310312309310310311310310311309308308308307307307307307306306306306306306305305304305304305305305305305305304304305305306305305306305305305304304304303302302302302303302302302302303303302302302302302302302301301300300300302300300301301300300300300301300301300300301301300299298299299299299299300301302299300300301300300300300301301300300301302301301300300300300299298299299298297299300299298298298297298298298299300300299299299298298298299298299297297296297297296296295294295296294293292292292291292292293292291291291291292291292292292293292291291290289290289288288287286288287286287287287287286286286286287287287287287287287287288288288289288288287287286286285285284284285285286284283284285284284283283282283282283284282282283282282283284284285285285286286287287287286286285285285286288289289289290290289289289289289288287286286285285285285285285286286286287287287286287287287287287287286285286286286285285286287285286286287287286286287287287287286287286286286286287287287285286286286285285285285285285285286286286286287286286286286286286285285285285285285285285285285285284284285284284284284284284285284284284285285284284284285285285285286286286285285285284284284284284284284284284284284284284284284284285285284284284284284284283283282282281281280280280279279279279279279279279278278277277277277277276275276276276275275276276276275276276275276276278279279279278277277277278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276275271999279265264270272276280283284285286287287288291292291293294295295295296295295296297295295297296296296297295300300301301301302302303302304304305306306304305304305305306304301301304305303304304305304309308307307306308307307307306303301304302304306306306305304305305305305306306306305305307304308307307307308309308308307308308309309310310310310311311312311312312312311311311310310310310309307308308308307307307307307307307307307307307305305305305305305305305305305306304304305305306306306306305305304304303303303302302301302301302302302302302303303304302302303302302302300300302300302301300302302301302301301301301301301302301301301302298299299300299299300300301299300300300301301301300300301301300301302300300300300299300299299298299299300299299299296297295298299298299300300300300298297299298299299299297298297297297297297297296295295295294294293292291291292293293292291290291292293291291292292293293293292290290290288289289288288288288288288288288289287287287287287287288287287288287287288288289288289288287288287286286285285285285286285284283285286285284283283283282283283283283283283283282284284285284285285286286286287286286286285285285286288289289289290290290290290290289288288287286286286286286286286286286286287288288287289288288288287287286286285286285285285287287286286287287286286286287287287286286286286286287286285286286286286285285285285285285285285285286285286286286286286286286286286286285285285285285285285285284285285285285285285285285285285285285285285285285284284285285285286285286286286286285285285285285285284284284284284284284284284284285285285285285284284284284284284283282283282282281280280280279279279279279278278278278277277277277277276275276275275275275276276275276276275276276277278279279279278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271264265267268273278282285286287287289289291290292293293293294295296296296296296296295294296295295298297298300300300301302303304303303303304305304305304304305304305305304306306306306306305305304305309307309306305308305306306304303302302302305306305305305305306306306303303304306305305304308306307307308309309309307308308308308310310310310311312311312312313313313312310311310310309309308309309309308308307307307307308307307307307306305305305305305305305306305306305305305305305306306306306305304304304303303302302302302302302302302302303303303302303301302303302301302300300301302303302303302303301302302302302302300302302302302302301301301301300300299300301301300302301301301301301302301301301303301302302301299299299299299299299298299299299300299298298299298299298300300300300299299298299299299299298298298297298298297297295296296296295295294293294293293292292292292291292292291292292292292291291292292292291290289289288288288288288288288288288289288288288288287287287287288287287287287288288288288288287288288287287287286286286286286286285284285286285284283283283283283282283284283283283284285285285283284283286286286285285287286285285286288288289289290290290290290291291290290288288287287286287287287287286287287287287288288288288288288287286286285286285286286286286286286286287287286286286286287287287286286286286287286286286286286286285286286285285285285285285285285286286286286286286286286286286286285285285286285286285285284285285286286285285285285285286286286285285285285285285286286286286286286286286286286285285285285285284284284284284284284285285285285285285285284284284283283283283283283283282281281280280279279279279279279279278277277277277277276276276276276275275275276276276274275275276276277279279279279279277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283275268262266268273274278281284286286288288290291291292293293293294295295296296296296297295296295295298298298299299300300301303303303305303303304304305305305305304305305306306306306307303305306306306308307308306309308306306306306305304304305304306306306305306305304303303303304305305306305307307307307307308309308308307307308308309309310310310310311311312312312311310310310310310309309309309309309309308308308307307307307307307307307307306305304305305305303305305306306305305305305306306306306306304304303303302302302302301301301301301303302303303302302302303302302301301300301301303303303303303302302302302302302302302302302302303302302302301301302303302303302302300300300300301301300301302302301301300301300298299298298297297297299297299299299299298297295298296297297296299299299300298297298299298297298297297296296296295296295296295295294294294293294294292290292292291291290291292293292291291292291291291291292291290289290289288289288288288288288289290288288288288288287287287288288288288288288288287288288288288287287287287286286286286286284285284286286284284283282283283283284284283283283284284284285284283284286286285286286287286285286286287288289289290290291291290290290290290289288288288287286287287286285286287287287288288288288288288287286286286286286287287286286286286286286286286286287287287287287286286286287287286287286286286286285286286286285285285285285285286285285285286286286286287287286286286286286286286286286286285285286286286286286286286286286286287286286286286286286286286287286286286286286286286286286285285285284284284284285285285285285285285285285284284284284283283282283282283282282282282281281280279279279279278278277277277277277277276276276275275275275274276275275275275275276276277278278279279279278278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295287281276269269271272276277279284286289290290289290289292292293293293294294295295295296296296296294298297294295296296298299300300300301302304304304304304305305304304305306307307307306306304304305305306308308306309307307307307306304305303304305303303303305304303302303303303305306307308308307307307308305306306307308307307308309309309310310310310310310311311311311310310309309308310310310309311310310309308308308309308308307308307307307307306306306306305305304306306306306305305305305305306306305306305304304303303302301302301301301298300300301302303302302302302301302301301300300301302303303303303303302302302302302302303303303303304303303302303303303301302301301303303303303303303304304303302301301301301300299299300299299299299299297299300300299297297297298298297297298298298299298300298297297297297297298298297295295295296296296295296295296294294294294292291292293291293292291290292292293292292292292291292292292291293292290290290289290288288289288289289288288288287288288288287287288288288288287287287287287288288288288287288288286286286286286285284285286285285284284284284284284284284283283283284284285285284285286286286286287287287286286287286288288289289289291291291291290290289290290288288287287286286286286285286286287287287287288287287286285285285286286286287287286286286286286286286286287287287287287287287287286287287287286287286286286286286286286285285285285285285285286286286286286286286287287287287287286286286286286286286286286286286286286287287286286287287287287287286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285284284284284284284283283282282282282282282281281281281280280279279278277277277276276276276276277277276276276276276276277276276276276276276276278279279279278279279278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999281279277275275275278279283287289290289288291291291292293293293294294293295294295296296296295295294294295296296296298299299299299300301302303304303304304305305305307308308308309304304304305305306305308306308307307306307306306306304303305305303303303304303302302302303305304306307307307307307308306306306306306307307307307308308309309310309310310310310309309307308309309309309311310310310309309309308308307308309308308308307306308307307307307307307306306305306306306305305306305305306306305305305305304303303302302301301301301300300301300301301302301301302302302301301302301301302302303303303302303303302303302302302303303302304304304304304304304304303303305302305304305304305306306305304304304299301300301301301300299299298299300299299300300298298298299297297297299298298298298298299298297297297298296297297297294296296296296297295295295295295294294294293293292293293293292291292292292292292293292292292292292291291291291290290290290290287287289288288289290288288288288288288288287287287288287288287287287287288288289288288288288288286287286287285286286286287286285284283283282284284284284283283284284282283285285284286285287286287287287287287287287288289289290291291290289291291289290289288288287287287287286286285285285285286287287286287287286285285286286286286287288287286286286287286286287287287287287287287287287287287288287287287287287286287287287286286285285286285285285285285286286286286287287287287287286286286286286286286286286286287287287287287287287287287287287287287287287287287287287287286286286287287287286286286286286285285285285285285285285285284284284284284284283283283283282282282282281281281281281281281281280280279279278277277277277277277277278277277277277277276276276276276276276276276276278278279279278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999999281283279276276277277280282286288290290290291292292292292294293294294294294294295295296296296295295295295296297297298298299299301301300300302301303303304305305306306307308307304309305305305305305306306307307308308307307306306306306303304303304304303304304304304303305305305305306305305306306306305305304305305306306306306308308308308308309309310309310309309308309308308308309309310310309307308308308307307307308308307306307307307307307308306308305305305305304305305305305305305305305305305305305305304304303302302301301301302300300300300300300300301301301302302302301301302301301302303303303302303303303303303302302302302303304304305305305304306305305305306305305305305305305306305306306306305304304304303302300300301301300301301300299300300299300299300299299300301299300299299298298298297297297297297297298297297296295296295296297296295296294296296296295295294293293293293292292292292292292291292292292291292292289291292290287290291290290289288288289288289290289289289289288288288288289288288288287287287287287288288290289289288289288288287287286286287287287287287286285284283282282282283283283283283283283284285285285285286287286287287287287287287287288288290289290290290290291291290290290289287287287288287287286285286286286286287286286286286286286286285286287287287287287286286286286286286286286287287286287287287287287287287288287287287287286287287287286286285285285285285285285285285286286286286286286286286286286286286286286287287286287287287287287287287287287287287287287287287287287287287287287286286286287286286286286285285285285285285285285285285285285285285285285285285284284283283283283283282282282281281281281282281281280279280278278278278278279279279279279279277278277277277277276276276276276276277278278278278278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290282278276276278281283285288290290289291291292292290291293293294294296296295295295295296294296295296295297297297298299299301302302302302303303303304304306306307308306307306305306306305305305306306307308308308308307306307307307306306305305305305305305304305304304305305305306305305306306304306305304304305304305305306306306307307308309309309309309309309308307307308308308309309309309308306307307307307307309307306305307306307306308307307306306306306305305305305305305305306305305305305304305304304304304303302301301301301300299300300300301302300300300301301301302301301301301302303303303303304304304304304304304303304304305304303305305306307307306304303306306305306305307305306305306305308306305304305302302300300301301299300301300300300300299300300300300299300301300300298299297296296296296297298298297296295296295295296296296296296292293294292294295294294294293292293292292292292292292292293292291291291291291291291293292292291292291291289289290289289289291289290289289288288288288289289288288287288287288288288288288289289290289289288288288288288289288288287288287286283282284284283283283284284284284284285285284285287287287287287288288287288287287288288289290289290290290291290290289289288287287288288288286285285286285286286286286286286286286286286286287287287286286286286286286286286286286286286287286287287287287287287287288287287287287287287287286286285285285285285285285285285285285286286286286286286286286286286286286286286286286287287287287287287287287287287287287288287287287287287287287288288287288288287287286287286286286286286286286286285285285285285286286285285285284284284284283283283283282282281281281281281281281281280279279279278279279280279280279279279279278278278279277277276276276276276277278278278278278277277277277278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999999999278277276277281283285287289289291291291293292293292293293294294295296295295295294295294296296295294296298298298299301299301302301302302302304304304307307306307308306307306304305306305305306307308308309309308307307307307307307307307306305306305305306305305304304304306306306303303306304306305305303303305304303304305306306307307308307308309309309309309308307306308308308309308310309308308307308308307307306307307307306306306307307307307306306306305306305305305305305305305305305304304305305304304304304303302301301301301300299300301301301302302301301301302302301301301301302303303303304304304304304305305305304304304305307305303304307307307307306304306306306306306307304305306306306306306305305305306304304300300303301302300300301301301301299299301302298298299300300298300297298297297297297298298297296296295294295296296297295295296295293296296295294293293293292292292293291293293293292293292291291291292292292293293292293293293293292292289289290290291290289290290290289290289288289289289288289288289288288288288288288289289289289289290290290289289288288289288288287288286285285283284284284284284284284284284285286287287287287287287288288287287287288289288288289289290290290290290290289289289288288288288287286285286285285286285285285285286285286286287287288287287287287286286286286286287286286285286286286287287287287287287287287287287287287287286286286285285285284284284285285284284284284285285286286286286286286286286286286286287287287287288288288288288288288288288288289289289289288288288288288288288288288288288287287287287286286286286286286286286286286286286285286285286285285285285284283283283283282282281281280281281281281281280279279279279279279279279279280279278278278278280279279278277277276276277278278278278278278277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305298284999278277279280284284286289289289290291291292292293292293293293293294295295295294294295294295294295295297297297298299299300300301302303303303302305304305307307308306307307305305305305305306307308308309309308308307308307307306307306307307306305306306304305304305305305306307307307304306305306307304304304304304304304305306306305306307308308308309309309309308309308308309309308309308308308308309308308308307307306306306306307308307307306307306305305305305305306305305305305305305305305304305305305304304304304303302302301300300300300301300302302302302302302301302301300301302301302303303305304304304305305306305305306304307306306305305307307306306306305307305306307306305303305305305305306306305305305307306304304300300301302301301301302301301300299300300298299300299298299300297298297297297297298298297296297296296298295296297296295296296296296296295293292293293292293292292292292293293293293292291291291292293293294294294294295293294293293290291291290291290291290290290289289289289289289289289289288288288288288288288288288290289289289290290291289289289288289289288289289286286285285285284284284285285284285285286287287287286286286287288287287286287288288288288289290290290289290289289289289289289288288288287286286286285286286286286286286286286286286286287287286286286286285286285286286286285285285285286285285286286286286287287287286287287287287287286286285285285285285285285285285285285285285286287286287287286286287287287287287288287288287288288288288288288288288289289289289289289289289288288288288288288288288288287287287287287286286286287287286286286286286286285286285286285285285284284284283283283282282282281281281280281280280281281280280280280279279279279280280279279280280280280279278277277277278278278278278278278277277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286281280282282283283286288288288289291290290291291292292293293293293294294294294295295295294295294294296296297298298301301301302302302303303304304306305306308309307308307307306306305305307307307308308308308308308307308307307307307307307307307307305304304303304304306306306307305307306306306305306304305303304305304305305305306306306306307307308309309309310310308308307308308308308307308310309309309308308307307306306306307306306307306305305305306305305304305305305305305305305305305305305305305304304304304304304303301302300300300300300300302302302301301302301301301300301302303303303304305305304305305306306304305306305305306305305305307307307306306308307307307308308307307306307307307307307308308308309305306305306303304303302301302303303303302302301302300298298298298300300299300299298299300299297298297297297296296295295297295296295296297297296293293293293293292292293291293292293293292292292292291292292293293295295294294294294293293291291290290291290291291291291290290289289289289289290290289289289289288288288287287287290289289290290290291290289289289289288289287287288287286286286286285285285286286286284287287288287286286286286287287287288288287288288288289289290289289289289289289289289289289288287286286285285285285285286286286285285285285286286286286286286287286286287286287286286286286286286287286286287286286286287288288288287287287286287286286285285285285285285285285285285285285286286287287287287287287288288288288288288288288288288288288288288288288289289289290290290290290289289289288288288287288288288288287287287287286286286287287287286286286285285286285285285285285285284284284283283283283283282282281281281281281280281281282282282281280279280280279279280281280280279279279278278278278278277277278278277277277277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286285283282282282285287287288290290290290290290291292292292292294293294294294294294294295295295294295296297297298299301302302301302303303304305305305306307307307309308307308306305306307306307307308307308308307307307308308307307307307307307307307306305304304303303304304306306305303303303306304306304303304304304305305305306306306306306306307307308308309309309308308308309308308307307309309307308308308307307306306306306306307306306306306306306305305305305305305305305305304305305304304305305304304304304304304304303301301301300299299300301301302301301302302302302302301301302303304304304303304304305305305305304304304305305305304305305305305305306306307305307309307307307307306305306306307307309305308304304305306305304303303301301302302302302302301299300300299299300301301300298299298299298298297297296296296296296296295295296295297296295295296295295294293292291289292292293293293293293294292291291291291293293293295295294294294293293292291290291290291290291291291291290291290289289289289290290290289289288288289288287286289289289290291291291291290290290289289289288287288286285286286287287286286286286286287287287288288286285284285287286286287288288287288289289289289290289289289289289289289289289289289288288288287286286286286287286286286285286286286287287286287286287287287287288287287286286286287287287287287287287287287287288288288287287287287286286286285285285285286286285285286286286286286286287287287287287288288289288288288288288288288288288288288288288289290290290290291290290290289289289288288288288288288288288288287287287287287287287287287286286286286286285285285285285285285285284284284283283283283283283282283282281281280280281282281282281280281279279280279280280280280280279279278278278278278277277277277277278278278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283281282282282285287287289290290290290290291291292292293293292293292293293294293293294295295295295296297298298299300301302302301301303304304304303305306306307307308307307306304306306307307306307307307307307307307306307308307307306307306306307306305305304304305306304304305306306303303303302303303304303303305305305306306306307306306307307307307307308308308309309307307308308307307307309308306307307307307306307308307307306306306306306306305305305305305305305305304304304304304304304304305304304304304304304304304302301301300301301300300300301301301301301302301301303303302304303304304304304304305305305304305305304305305304305305305305306306306305305306306308306307308307307307305306306306307306305309305305305304305303302302301302302302302302301301299298300301300301301300299298298298298298298298298297297296295296296294295295295296296295294294294294291292292291292292293293294295294294294291292292292290294294294294294294294294293293292291291291291291290291291291290290291290289289289290291291290290290289288288288288288288288290291290291291291290290290287288288289289288287287287287287287287287287288288288288289288287286285285285287287288288288289289290289289289290290290289290289289289289289289289289289288288287287287287287287287286286286286286286287286286287287287287287287287287288287287287287287286287287287287288288288288288288287287287287286286286285285285285285286286286286286286286286286286287287288288288288289289288288288288288288289288288288288289290290290291290291290290290290289289289288288289288288288288288288287287287288287287287286286286286286285285285285285285285285284284283283283283283283284283284283282281281280281281281282282282282282281280280279279280280280279279279278279278278277277276277277277277277277277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287280279281282284286288289291292290290289290291291292293294293293292294295295295295294294296296295296296298298300300301301303301302302303303304304304305306307307306306306306304308307307307307306307307307306306306306306307307307306307306305306306305305305305305306304304304303302302302302302302303302303303303304305305305306306306306306306306307307307305305306306305306306305305307307307307307308306306306307306306307307307306306305306306305305305305305305304304303304304304304304303303303304304304303304304304303301301301300301300301299300300300301301301301301301302302304304304304305305305305305306306307307305304305306305304305305305306306307307305306306307306305307308307306306306306304306308309308309307305305304304302302301299301301301301301302300301302301302301301302299299299299297297297298298297297296297295296295295296297297296296296295296296296293293292293293293293292293293294294294294293293293293294296298297295294294294293293293291292292291291292292291291290290291291290290290291291292291291290290288289288289289291291290291291292291291291290290290289289289289289289287287288288288288288287288288288288289289287287286285287288288289288289289289290290289289290290290290289289289289289289289289289289288287287287287287287287286286286286286286286287286286287287287288288288288288288288288288287287287287287287288288288288288288288288287287287287286286285285285285286286286286286286286286286286287287288288289289289289288289289289289288288288289289289289290291291291291291291291291290290290289289288288288288288288288288288288288288288288288287287286286286286285285285285285285285284284283283283283283283284284284284283282282282281281282281282282282282282282281280279278280279280279279278279278278278277277276277277277277278278278277278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296289282278278282284286288290292290291290289290291292293294294294294294296295296296296296295295296296297298298299300300300300302302303302303304304304305306307306305305305307307307306307307308307306307307307307307307306306307307307307307306304304306306306306306305306305305305303303302302302302302302303304304304304305305305306306306306306307307307307307306307308306306306306306306307307307307307306306307306307306306308307306305305305306306305305305305304305304304304303303304304304303303303304304303303304304303303303301301301302301300300300299299300300301301301301301303303305304303304304306304305306305305308308304303304304303302304305305306306307306304306306306305305304303306306306307305306306308308308309305305305304305301301299300302301301301301301302302303303302303303302301301300300300299299299299299298298298298295296297296296297296295296296293293293293294293294293294294293294294294295294294293294294295298299299298295295295294294294292293294292292292292291291291290290291290290290291291292291291291290290290290290291290290290291291291292292291291291290289289289290290289290288288288288288288288288288288289289289289289288287287287287288288289289289289290289289289289289289290290290289289289289289289289288288288287288287287287287287287286286286287286287287286287287287288288289289288288288288288288287287287287287288288288288287288288288287287287287286286286286286285286286286286286286286286286287287288288289289289289288289289290289289289289289289289289289290290290291291291291291290290290290290289288288288288288288288288288288288288288287288288287287286285285285285285285285285284284284283283283283283283284284284283284283283282282282282283282282282282282282282280280279280280280280280279279279278277277277276277277277277277277277278278279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281277278279283285288290292291290290290291293291293293293293293296297297295296296296296296295296297298298299300301302300302303302301302304304304305305305306305305305304307305306307307307307307305306307307307306306307306307307307307307305304303305307307306306305305305305304302303303302302302303303303305305305305305306306307306307307307306307307307307306307307306307305306306306307307307307307307307307307307307305308308307307307306304307306306305305305304303303303303303303302303303303303303303303303302302302302301301301302301301300300300299299300301302302301302302303303304306304306305305306305306307306305305305303304305305304304304305305305306305306305305305304304303304303304308305307306307308308308308307305307306303301301301302302302302302302302302303303303305304303303303303302301299300300299300299299299299298297298297295296298297295296297294294296296295294296292293293294294294295295294296295295295296297297296295295295295295294295295293292292292292292291292290290291291290291291291291292290291291290290291291291291291290291291291291292292291291289290290290290290289291289289288288289289288288288288289289289290290290289288288288288288289288290289289289289289289289289289289290289289288288288288289288288288288288288288288287287288287287287286286287287287287287287288288289289288288288288288288288288288287287288288288288288288287287287287287287286286286286286286286285286286285286286286286287287288289288289289289289288289289289289289289289289289290289290291290291291291291291291290290290289290290289288288288289288288288288288288288288287288287287287286285285285285285284284285284284284283283283283283284285285284283284283282282282282282282282282282282282282282281281278278279279280280279279278278277277276277277277277277277278277278279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280280283286289291291290291290290291292292293292293293294295296297297297296296295297297296296296297298300301301301301303303301301304305306306306306305305305305305305306307306306306307306306306306307307306307308306306307307306307306304303305305306306308307305304304304302302303303302301302303304305306305305305306306307307306307307307307307307307307307307306306306305306306307305305307307306307307307308307307307307307308308307307307307305304304304304303303303303303303302303303303303303304303303302302302301301302302302301301301300300300299300301301302302302302302302303304305304305305305306305306307306306306306305304304305306305305305304305305305306304305304303302303303304305305304304303308308308307307307307307306304301301301302303302303302302302303303303301303304304304304303302300300300299300300299300298300298298298297297297298297294296296297299297295295294294295293293293294294295295295295295296296296296296294296295296295297296295295292292292292292292292292290291290291291292290292290292292291291290290290291290291291291291290291292291290290290289288289290290291290290290289289289289289289288288290289289289289289290289289289289289288288289289289289289288289289289289289289290289289288288288288288288288288288288288288288288288287288287287286286286286286287287287287288288288288288288288288288288288288288288288288287287287287287287287287287287287286286286286286286286286286286286287287287287288288289289289289289289289289289289289289289289289290290290291290290291291291291291290290290290290290290289289289289289288289288288288288288288288287287287287286286285285284285285284285284283283283283283283284285285284284283283283282282282281281281282282282282282281282281281279279280280280279279278279278277276276277277277277278277277278278279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282284286289291291290290291290291291291293293293293294294294294296297297297296297297298298297297298300301301301302302303303303303304305307307305306306307306305305306306306306307306306306306305306306307306307307305305305304305305304999999305305305306303306304304304305304303303303303303303306304305306305306306305306307307306306308308308307307306306308308307306305306306308308306306307307306306307307306307307307306307307306306306306306304305304304304304303303302302303303302303303303303303303303302302301300301301301301301301301301300300300300301302302302303302302302303304305305305305306306307307305306306306306306306304304306304302303304304305306305305305305305303305304303304304305305305304307306306305305307307305304304302302302302302303303303303304303303304304303304305303303302302301300299299299297299299299298299300300299299298299299296299298299296296297294295295296293293294294295295294295295295296295295298296295295294294295296295295294293292292292292292291291291291291291292292292292291292291291290289291291291293293292292292291292291291291290290290290290290290291290290289289289289289289289289290289289290289289290289290289289289289288289289289289289289290289289289289290289289289288288288288288289289288289288289288288288288288288287287287286286286286286287287288288288288288288288288288288289288288288288288288288287287287286287287287286287287287286286286286287287287287287287287287287288288289289289289289289289289289289289289289289289290290290290290290291291291291291291290290290290290290290289289288288288288288289288288288287287287287287287286286286285285285284284284284284284283283284284284285285285285284283282282282282282282282282283282282282281281281281281281280279279280279279279278277277276276277277278278278278279279280279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999292291287286287290292291289290290291291292292292293293293294294293294294294296297298297297298299299298299300301301302302302302303303303302304306306306306305304305305305305306306305306306306305305305305306306306306306305304304303302299304999303303305304304304303306304304307304303303303303303304304304307307304306306307307306307307307307308308307307307307307307307306305306307307307306306307307307307307307306306306306307307307307306306305305304304304304304304303303303302303303302302302302302303303302301301301301301301301301301301301301301301301300301301301302303303303303303304304304303304306306307307307307306307306306306306306304303302302303302303305305302304304302302302303303304305304305304304306306305304305306306307305305305303304303303302302301302302302302301303303302302304302301301301302300300300299299298298299299302298299299299298298299299296296294294297298294293294294294294294294295294295295295295295297296296295295295294294294295295294292294291292292292292292292291291292291292292291291291291291293290289290291291291293294290290291291290291291291291290290290290290290290290289289289289289290289289290290289291290289289289290290290289289288288289289289288288288290289289289289289289289289289289289288289289289288288289288289289289289288288288287286287286287287287288288288288288288288289288288289289288288288288288288288287287287286287286287287287287287287287287287287287288288288287288288288289289289289289289289288288289289289289289289289289290290290290290290291291291291291291290290290290290290290289289289289289289289289289288288287287287286286286286285285285285285285284284284284284284284284285285286286285285284284283283283282283283283283283282282282281281282282281282281279279279279279279278277276277277277277278278279279279279279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999297285285287289291293290289290289291291291291293293293293294294295294295294294296296297298298300300299299299300302301302302300300304303303304304304306305304304304304304305305305305306306306306306305305305305305305305305304303303302300297304303303304305305303303305302302303304302303304303303303304306306305308304306307307307307307307306306306307308306306307307307306308306305307308308305306307308308308307307307307308309308307306306306305306305304304304304304303303303302303303304302302303302302302302302302302302302302301302302302302301301302301301300302301301302302303303303303304304304304304304306307307307308306306305304304304304302301301300302303303303304303302304303302302303304304303303305304304305302302303305305306305305304305305306304304303303302302302302302301302301302304303302300300300302300300300300299299297299299299299299299300297297296295297296297293293294294294293294295294294294294294295295296296295294295296295294294294293293294293292291291292292293292294294293291291292291291291291292291293292292292291292291291290291291290291289288291290291290291290290290290290290290289289289289289289290290290290291290290290290290290290289290289289288288289290289288288288288288289289289289289289289290289289288289289289288288289289289289289288289289288288287287287288288288288289289289289289289288289289289290289288288287288288287287287287287287287287287287287287287287287287287287288288288288288288288289289289289288288288288289289289289289289289289289290290290290290291291291291291291291290290290290290290289289289289289289289289289289289288288287287286286286285285285285285285285285284284284284284285285285285285286286284284283283283283283283283284284283283282282282282281282281282281280279280279277278277278277277277278278280279280279279280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298293291289290292293291290290290290290291291291292294295293294294296295295295294295295297297298298300301301301300301302302303303303303302303304304304306305305304303303303304304304304305305306306306305305304304304303304304304304304303303300297303301303304304304303303305305303302301302303303303304304304306305306306307306306307307307306306306306306307306304305305309308304305303305307307306307306308307308308307307307307308308308307307307306307306305304303303303304304304304302303302302303303303302302302302302302302302302302301302302302302302302302301301302302302301303304304304305304304304304304303304306308308307306305304303302301300300299299301302303304304303303303303304303304303302304304304304304304305305302303304306304305306305305306306305304305305303302303303302302303304303303302302299301299300301300301299298299299298301301300300300299299299299299298296296295295295297295294295295296294294294294294295295295297297296296293294293293293293293293292292292292293292293293294292292291293292292292292292293292291292291292292291291291291292291290290291291291291290290289290290289289289289289289289289290289290289290290290289288290290290290290290290290289289289289289290289288288289289288290290290289290290290290290290289289289289289289289290289289289289289289288288288288288288289289289289289290289289289289289289289290289288288287287287288287287287287287286286287287287287288288287287287287288288288288288289289289289289288288288288289288289289289289288289289289290290290290290290290291291291291291291290290290290290289289289289289289289289289289289289288287287287287287286286285285285285285285285285285285285285285286286286286286284284283284283283283283283283283283283283283282282282282282282280279280280279278278278277276278278278278278279279280280280281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297293292292292292291290289290289290289290291292292292294294295295295296296296296296295296296297298300301301301300301302302303303302303303304304304304305305305304304304303304305305304304304305306306306305303303304302302302303303303303303301301301302303304305304303303302303304302301302302303302303303303304304304306306307306307306308308306307306308305306305305305306306306308303304306306304306307306307308308307307307307308307308308307307306307307306304304304303304305304303303303303301303303303302302302302303303302302302302302302302302302302302302302301303303303303302304304303304305304304305304304304305306308309307306305303303302300300299299300301301303303305305305304304304304304303304303303304304304304306305304303304303305305304305305305306305306304305302301302301302302303303302303303301300300299299300300301301300300301301300300299300300300299300300299298296296296296297298295295296296293293294295294295296295296296296296296293293293293293295293294292292293292292293293293294293292292291291293292292292292292292291292292291291291290291291291289290290291291290289289289290290289289290289289289289289290290289289290290290290290290290290290290290290290289290290289290289289288288289289288289289290290290290290289289290290290289289289289289289289289289289289289289289289288289289289289290290290290290290289289289289290290289289288287287287287288287287287287286286286287287287288288288288287288288288288288289289289289289289288288288289289288288289289289288289289290290290291290290291290291291291291291291290290290290290290289289289289289289289289289289289288288287287287287287287287285285285285285285285285285285285286286286286286285285284283283283283284283283283284283283283283282282282282281281280280279278278279279278278277278278278278278279280280280280281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300297291289291290288288289289290290290290291292292293293294295296295296296296296296296296296297298298298299300299299301301301301302303304304304303304304305304304304304304304304304304304304304304305306306304304303303301301301302302302302302999300302303303304304303303299301302302302302302303303302304303305305304305306306307307306308308308306307305306308304308305305306304303308303304306304305307307306306307307307307305307306307308307307306306306306305306305304303304303304303303303301302302303303302302302302302302302302302302302301301301301301301301301301301301302301301303302303303304304304305306306304305305306305306305304302301299297297298299301301302303303304303303304304302303303302299302301303304304304305304304302304305304306305305305305305305305304303302301302302301301302303303301302302301301300299299301302301301300300299300300299300300299300300300299298298296297297296298298300296294294293294295295296296296295295295296294294293293293293293292291291292292292293292292292293293292292292292292293292292293291290292293292290290290290292291291291291290290290289289289289289289290290290289289288289289290290289289290290291291291290290290290290290290290289290290289290290289288288288289288289289290290291291290290290289290290290289289289289289289289289290289289289290289290290290290290290290290290290290290290290290289290289289288287287287287287287287286286286286287287287287288288288288288288288288288288289289289289288288288288288289288289289289289288288289289290290290290290291290290290290291291291290290290290290290289289289289289289289289289289289290289289289288288288288288287286286286286286286286286286286286286286286286286285284284284284283283283283283284284283283283282282282281282280281281280280279278278277279279277278278278279278279279280280281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298296294291289287286286289289290291290291291291292293294294295296296297297297297296297297297297298298298299299300301301301301301301302302302303303304304304304304304303303304304304304304303304304304305305305304303302302301301301302302302303302999999302303302303303302300302302301303303302303304305304305304305303305305306306307308308308308308307305304305309309305305305305305305308304304303306306308307306306306307306307306307306306306306307306303307307306306305303303303304304304302303303302303302303302301302303303303303301301300301301301301301301300303303301303299302299300300301301302302303303304305306306303301304305305305304302299294292296298299300301302304304305304302303303302303303301301301302304304304304304304304302303302305305305305305305306305305305303303304303301301302302302303301302302302301301300300300300300301300300300299300299300300300301300299299299297297298298297298298299297294295296297296297295296295294296296296295294294293293294293293292291292292292292293293293293292292292292292292292292292293290293292292291290290290290291291291291291291291290289289290288288289289290289289288288289290290290290290290290290290291291290290290291291291290289291290290290290289289288289289289289290291291291291290290290289289289288288289288288289289289289289290290290290290290290290290290290290290289290290290290290290290289289288287288287288287287287287286286286287287287288288288288288288288288288288288288289289289288288288288288289289289289289289288288289289290290290290290291291290290290290290291291291291291290290290289290289289289289289289289289289289290290290289289289288288288288288287287286287287287286286286286286286286286285285284284283283283284284284284283282283282281282281281282281280280280280279278278278278279277278278278279279279280281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290285284284283285286288289289290290290291291291293293294295295296297297297297297297297297297297298299298299300301302302301302301301302302302303303303304304304303303303304303304304304304304304305305305305305304303302301301302304301302303302301298300302302302303303301302302301301302303302303303304304304304305304307305307308307307307308307307307305302306308307309308306304305308306307307307304304306305307308309309306305306307306306306308309306307305305306305304304304304304304304304303303303304305304302302303303303303303302301301302301300301301302301301303303303302302302302303303303303302303303305304306307306306306306306305306303301298292296297299301302303304304304304304303304304304304303302303302303303303303304304304306303305307305305305305305306306305305305305305304303303302302302302304303302302302302302301301300300299299300300300300299299299300299300299299298298298298298297296297299298297297295296296296296296296296296295294294294293293294294293293292291292292292292292293293293293293293292292292292292292291291292290290290292292292291291291291291291291291290290289290288289289289289289289289288289289290290290290290290290290291291291290291291291291291290291291291291290290289289288289289290290291291291291290290290289288289288289288288288288289289289290290290291291291291290290290290290290290290290290290290290290290289288288288288288288287287286286286286287287287288287288288288288288288288288288289289289289289289288288288288289289289289289289289289290290290290290290291291291290290290290290290291290291291290290290289289289289289289289289289289289289290290290290289289289289289289288288288288288287287287287287287287287286286285285284284283283284283284284284283283282281282281281280281281280280280279279278278278278277277278278278280280280281281281281281281279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286282281280280282284287288289289290291290291291291291292293294295296296298297298297297298297298298299298299298300301301302302302301301301302302303304304304304303304303303303303304303303304304304306305305305305305304303302301301301305304303301302302301301301301301302303302302303302301301302302303303302304304304304306306305305307308307307307306306305304303307306304304305305305304306307307305303304305306305306306306306305307306307306305305307306306306306305305303304303303303303304304305303303303304305304304302304303303302304303302303302302300300300300301301301301301303302302302303303303303303302302303305304303305303304303303304304303302300295295297299301303304304304305305304304304303304305305304303304304304304305306306306305306305305306305306305306306305305305306306305304304303303303304304304301302302301302302301300300300299299298299299298298299299299299299300299298298299298299298297297297295296296296296297296297296296296296294295295293294293294294294294295289292293294292292292293293293292293293293293293292292292291290290290292292292291291291291291291291290290291290290290289289289289289289289289289289289290290290290290289290290291291291291291292292292291291292291291291290290289289290290289290291291291291291290289289289289288288289289289289288288289289290291291291291291291291290290290290290290290290290290290290290289289289288288288288287287287286286286287287287287287288288288288288288289288288289289289289289289289288288289289289289289288289289290290290290290290290290290290291290290290290290290290290290290290291290289289289289289288289289289289289289290290290290290290290290289289289289289289289288288288288288287287287286286284284284284284283284284284283284282282282281281280280280281281279280280279279278278277278277277277278278280280280280280281281280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279281281284286287288289290291291291292292291291292295295296296298298298298298297297298298298298299299300301302301302302302301301301301303304304303304303302303303303303302303304303303304304304304304304305305304303302301301301302301298300300302301300299301302302302302302301300302301302302303302303304304304304306307307305304304303305306306306305303304303304304307304304304305306307305302303304308305307306306306307306305306307306305305305304306305305306305306305303304304303304304304302304303304304305304304305303303304305304303303303301301302301301299300301300302301303304301302302303303303302304305304304302304306304303303303304302302301298296297300301303303304305305305305304304305305305305304304305306306305306306306306306306306305305307306306305305304303306306305304303303303303304304304304301301301301301301301301300300299298298299299297298299299299299299299299299298297299298297297297296296297297298297298298298297297296295295295295295294294295294293293293296293294293292295293293293293293293293292293293293292291292290290292292292293292292291291291291291291290291290290290289289288289289289288289289289289290289290290290290290290291291291291291292292292292292292292292292290290290289289289289289290291291291291291290289289288288289289288288288288288289290290290291291291291291291291290290290290290290290290290290290290290289289288288288288288288287287286287287287287287287287287288288288288289289289289289289289289289289288289289289289289289289289290290290290290290290290290290290290290290290290290290290290290290290291290289289289288289289289289289289289290290290290291291290290290290290289289290289289289289288288288288287287286285285284284284284284284284284284284283282280281280280280280280281280280279279278277277277277277277277279279280280280280280281280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280282285287287287287288289291291291292292292292292293295296294296297298298298297297298299299300300301301301301303303302302301301302301302303303303304303303301303303303303302304303303303304304303303303303304305304303302302302302300302301302300302301301301300302302302302301301301302302302302304304303304304304305306307306304306304305305305304304304304304308303303306304305304305305306306304302305308305307306308308305306306307306306306304306304304304306306304306304303304305303303301303303302302302302303303305304303304304304304304303303302302302303302299301300300300304303305300299300301301300302303304305303303307306304304304303302302301300299297298300300302303304304304305305305305305305306306305305306306306305306306306306305306306306306307306305305306304304305306305304302303302302302304303304301302301301301301301301301301300298298298298298295299299299299298299299298298297299299297298297296297297298298298298298296298298296296296296295295294294294294293293293295295295293291296292293293293293292292292292293293292292290290291292293292293292292291291291291291291291290291290290289290288288289289289289289289289289290290290290290291291291291291291292293293293293293293292292291291290289289289289289289290291291291290290290289289289289289289288288288288289290290290290290291291291291291291290290290289290290290290290290290290289289289288288288288287287287287287287287287287287287287287287287287288288289289289289289289288288289289289289290289290290290290290290290290290290290290290290290290290290290290289289290290290290290291290290289288288288289289289289289290290290291291291291291290291291290290290290290290290289289289288288287287286285285284284284284284283284284284283282281280280280280280280280280279279278278278277277277277277277278279279280280280281280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281285285285285286287288290291291292291292293293292292293294294295296297298298297297298299299300300302302302302302302302302302302302302301303303303303303303302302303302303304304304303303304304303303302302303304305304303303302301301301300303300301300299301301301301302302301301300301302302302302302303303304303304304306306305305306305305305307306308304306308307307302306304304305304304304304305303305306305308307307307306307309308309308306307304304304305306304306303305303303304305304302303301303303302301304304304305304304304303304304303303302302302303302304303303304304303302303303303299303300303303303304305306308308307306307306304303303301301297297299301302304303304304304304304305306306307307306306306307306306306307307306306305306307307306306307307308306305304304306305303302304302301303304303301302302302301301301301301300300300299298299298298298299299299299298298297298298299298298298298298297298298298298298298297298298297297296296296295294294294294295294294293295292294293294294292294293293292293292293293293293293292291291292293293293293293292291290291291291291291290291290290290289288289289289289290290290290290290290290290291291291290291291291292293293291294293293292292291291290290289289290289290290291291291290290290290289289289289289289289289289289290290290290291291292292292291291290290290290289289290290290290290289289288288288288288287287287287287287287287287287287287288288288288288288289288289289289289289288289289289289289289289290290290290290290290290290290290290290290289290290290289290290289290290290290290290290289289288288289288289289289289289289290290291291290291291291291290290290290290290290289289288288288287286286285285285284284284284284284285284283281281280281280280280279280280279278277278278277277277278278278279280280280281280280280280279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290287286284283285285287288289290291291291292293292293293293294294295295296297298298298298298299300301302302303303302301302302302301301302302302303302303303302302302302302302303304303303303303303303303302302302302303304304304302299299300301300300300300300300300303302301300301301301302302302301302302303303303304304304305303305306305305304305304303303308305304304303304301302302302305302303302305305302304304306305305305304305305304307307306303303304306305305305305306306305302306304304304303303303301301302301303305305305302300303303302303301303303302303302301301300304301303305303302302300302303300299300300299300305306306306306304304304304303302301298299302303304305304305305304305305306307307306307307307307307307306305307307304305306306306304306304306306306307304305303305305301303304302300303302301300301301301301301300300300300300299299298298298298299299299299299299298298299299299299299298299299298298297297298298298298298298297297296294294294294294294295295295293293293294294292294294294293293292293292292293294292293293293293293291291293292293293291291292292290292290291291290290290289290289289289289289290290289290290290290290291291291291291291291292293292294293293292290291291291291290289289289290290290290290290291290290290289289289289289289289288289289289290290290291291291292292291291291290290290290289289289289289289289289288289288288288288287287287287287287287287287288288287287287288288288288288288288289289289289289289289289290290290289290290289290290290290289289289289289289289289290289289289289289289289289289289289289289289288288288288288288288289289289289289290290290290290290290290290290290290290290290289288288287287286286286286285285285285284284284284284284282282282281281280280280279280279278278277277277277277277277277278279280280280280280280280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285284283282284286287288289290291291292292293293293294293294294293294295296297299299299299300300300300301300302302303301302301301302301302302302302302303302302302301303303303302302303303303302302303303301302301303302302302301300300300300300299299299300300300300302300300302302302301302302302301302302302302303304304304305303304304306306305304301301307306307303303303303304301301301303303304304305304300304305306304304305304306306303305304304303304302302304304305306305307304305306303304304302303302302301301301302303303302301301302304302303301302302302302303298300302301298304304300302302298302300299300300301299302305306306304306304303304304303302300298300302303305305305306306305305305306307308307307307307307307307306306306307305304307306305303305303304305306303302303302305305304304304305301302302300300301301301300300300300300300300299299298297299299300299299299299299299299299299298301299299299299299299298298298298298298298298298297296294294294295295295295295295294293293293292294293293293293293292292293292292294293292293293292293292290291293293294291293292292292292291291291291290290290290290290289288289289289289290290290291291291290291289290290291292293293293293293293293291291292290290290289290290290290290290290290290290290290289289289289289289289289290290291291291291291292292292291291291291290291290289290290289289289289288288288288288288288287287287287287287287287288288288288288288288288288288288288288288289289289289289289289289289289289289290290290290290289289289289289289289289290290290289289289289289289289289289289289289288288288288288288288288288289289289289289290290290290290289290289289289289289289289288288288287287286286286286285285285285284284284284284284283283282282281280280280279279278277277277277277277277277277278278279280280280280281281280280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284282283283284286287288288289291291292292292293293293294294294294293294296297296298299300300300299298299299299301302302302301300302302301302302301301302301301301302302302303303303302302303303302302302304302301302302302301301297999300298298300300300300300300299300301302302302302301301302301300301301302303302304304304305305304303303306301305306306303305305306302303303305303302303301301304302304303304302303302302304304304302304305304302303305304305302303301304305306304305303302301301302302302301302302302302301301301301302302302302303303303306304303303304302300300301302301304302301303302301304302303305303302302304304306306306306305306303303302302301301302303304305305306306306306305305307306308307308308308308308308307307307306307306306306306306305307307307308305307305306307306306304303302302302304301301301301301300300300300300299299299299299299299300300300300300299299300299299298298300299298299299300299299299298298298298297298298297296295295295295295295295295294296295294294294294295294293294292291292292292292293293293293292292293292292293290293293293293292291292292291291291291291291290290290290289289289289289289289290290291290291291291291291291292293293294294293292293292292293293291290289290289290290291290290290290290290290290290289289290290289289290290291292291291291291292292292291291291291290290290289289289289288288289288288289288288288288288288287287287287287288288287288288288288288288288288288288288288288288288289289289289289290290289290290290289289289289288289289289289290290290290290289289289289289289289289289289289289288288288288288288288288288289289289289289289289289290289290290290289290289289289288288288287287287286286286285285285285285285285285285285284283283282282282281280280280279277277278277277276277277277276278279280280280280281281281280280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287281282282282283285286287287289291291292293292293293293293293293294294294294295297297298299300300299299298297298298299300301302301301300301301302302301301301301301302302302303303303304303302303302302302302305302302301302302301301298299300299999300300300300302300302302302302302302302302300301301301301301302302303304304304305302305305304303306306306305305304305304305305305305304303304303304305305304303302304303303304303305304304306304305303304305302302303305303304301304303303302302302303303302302302301301301301301300301301302302301303303303302302301302302301304303299300302303303302302303302302303304300301304303303301302303304305303303304303302301300299301302303304305306306306306306306306307306307307308308308308308307307307308307306307305306304304306305303305307306305304302304303304303304302300302303300301301300300299300299299299299299298298299298297299300300299300300300301299300299299300299299299299299299299298299298298298298298297297296295295294295295294295295295296295295295294294294294293293294294292292291292293292292292292290292290291292290293292291291292292292292291291292291291291290290290290289290289290290289289290290290290291291291291292292293293295295294294292292292292294292291290290290289290290289290289290290290290290290289290289289289289290290290291291292291291292292292292292291290291291290290289289288288288289289289288289289289289289288288288288288287288287287288288288288287288288288288288288288288288288288289289289289289289289290289289289289289289289289289289290290290290290290290290290289289289289289289289289289289288287288288288288288288288288288288289289289289289289289290290290289290289289289289288288287287287286286286286285285285285285285285285285284284283282281281281280280280279278278277277277277277277277278278279280280281281281281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284999301999275278279280283285285287287287289291292293293293294294293292293294295295294295296297297298298299299299299297297297297298300300300300301300300301301302301300299299301302303303303303302303302302302302302302302302302301301301301301299296298298999999299299302302303302302302302302302301301301300301301301301302302303302303302303304303303306304304302304303303305305304303303303303303304303304302304303304303303303303303303305305305306304303305305302304302304304304303304303302302302301300301301302302301301301302299300300300300299301301303302304304304303304304302301302302300299301302302302303303304300301303303303299301301301301302303305305304304304303301300298298298301303304306306307306305306306306307308307307308308308308308307307307306306306306305305305304302305304305304305308308307304304304303302302301302299300299299300299299299299299299299298298299299298298298297299299299299300300301299300299299299299298299299299299299299299298298298298297297296295295295295294294294294295295295295294294295294294294293294295295291292292291293293292292290290292292291289292292291292292292291292292291292291292291291290289290289289290290290289289290290290290290290291292292293294294294295294293293292293293291291291290289289289290290290289289290289289290290290290290290289289289290290290291291292292292292292292292292291291291291290290289288288289288289289289289289290290289289289289289288288288288287288287287287287288288288288288288288288288288289289289290290290290290290290289289290290290290289289289289289289290290290290290289289289289289289289289289289289288288288288288288288288288288288289289289288289289289289289290290290290289289289289289288288288287287286286286286286286286286285285285286285284284283283282282281281281280279279278278277277277277277277278278279280280281281281281281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297288287283999276278280283284285286287288289290291292292293293293294294293293294296296295294296296297297297298299298297296295297297299300300300300300300300300300300300300300299301302302303303303302302302302302302303303301301301300301299300300300299999999999999300301301302302302302301302301301301300301300303300301301301301302303303302303303303303305303303302303303304303305304302303303302304304304302304304305303306304304304306305305304305304302304304302302304304305305303304303302302302302301300300301301300300299301300299300300300301303303304305304305305304304304305305305304304302302303303306305304304302302303301303304304301300304302303302305305305304303300301300298296295301303304306306307306306306306306307308307308308306307306307307308308307306305304304304304304303301303303304303306307305304304304303303303301300301299299298299299299299299300300299297298299299298298298300300299299299299299300299300300299300299299298299299298299300299299299298298297297297296296294295295294295296296294294294294294294294295293293293295295293294292292291291292292290291292292290290291292292292291292292292292291292292291291291290290290289290290290290289289290290290290291291292292292293293293294294294293292294294293293291290289289289290290290290290289289289289290290290289289290289289290290290291292292292293293293292292292292291291291291290289288288288289289289289289290290290290289289290290289289288288288288288287288288288288288288288288288288288289289289289290290289290290290291291291291291291290290290290289289289290289290290290290289289289289289289289289289289288288287287288288288288288288288289289289288288288289289289289290289290290290289289289289288288288288288287287286286286286286286286286285286285285284283283283282282282281279279278278278278278277277277278278279279280281281281280280281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277279282283283284285286288289290291293293293293293293293293294294295296297297296296295296296297297296298298297297296298300301301301300300300300299300300301301301300301301302303302302302302301301301302303302302300300301302301298301300299999999298301301302302302302302301302301299300300301300298299300301300301301302302302302303302304305305305305305305305305305305304303303303303303304303304303303304305305302303305304304304303304303303304303304304304304305304304304304303302302302303303300300300301300300300300300300300300303302303304303304305305305304306306305303302304301304304307307303303304304305304302304302304304305304305305306305304305304304303301302300298297302304305306306307306306306306306307307308307307306306307306306306307306307306305304304304303304304304306303303304303305304302302304301301300300301298298299299299299299299300300299300300299299300300300300300299299299299299299298300299299300299299298299299298300299300299298298298297297297296295294295295295296296295294295295295294295295293293293296296296295295294294291291290292292291291292291291291292292293292292291292292292293292291292291291290290290290290290290290290290290291291291291292292292292292292292292291293293292294293292290290289290290290291290290290290290289290290290290290290289289289290291291292292292292293294293293292292292291291290290289289288288288288289289289290290290290290290290290290290290289289288288288288288288288288289289289289289289289289289289289289289290290290290290291291292291291291290290290290290290290289289290290290289289289289289289289289289289289288287288288288288288288288288289289289288288288289289289290290290290290290290290289289289289288288288287287287287286287287286286286286286285285285284284283283282282280280279279278278278279278278278278279280280280280280281281280281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999279279282282283283283283285287289290291291293294295294293293292292294296295297298297299298297297296297296296296296296297299300301301302301300299299300299299299299301299301301301301302301302300301301300300303301302303300300301302301299300297999999299299302301301301301302303302302301301300300299298297298299300299300301302302301302300300301301304304304305305305306305305303302302302303303303305303304304304304304304303303305302303302303303303303303302303303301301302303304304303301301300298300300301301301301299299300299302300302301304301302301305303306306305306305305304302304305305305305303305306306303304304304306304304305305304304304302305305304305303303301302302301302303304305306307306304306306306307307307307307307308308307307306306305306307307306304304304303304305303301302303302303303303302301301303299300303303298298298299300299299299299299299298299299300300297300300299299299300300299299299300299300300299300299299299298299299299299298298298298297297296295296296296296296295296294295294294295295295295295296298296294294295294292292292292291290291291290291290291292292293292291292292292292292292291292290290291290291292290291291290291290290291291292292292292291291291292292291291292292292293292291291290290290291290290290290290290290290290290290290290290289289290291292292292293294293294294293293292292293292291290290289289289289289289289290290290290290290290290290290290290290289289289289289289289289289289290290290290290289290290290290289289289289290290290290290291291291291291291290290290290290290289290290290290289289289289289289289289289289289288288288288288288288288288289289288288288288289289289289289290290290290290290289289289289289289288288288288288288287287286287287287286286286286285285284283283283282281280279279278278278279278278279278280280281280281281281281281280280280280280279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999281283282282283283284286288289290291291294295295295295294293294294296296298299299299300299298298298297297297298299300301301301301301301300299300300300299299300299300301300300301302301301300300301300301302301301302298300301300299298299298999300301302301301299300300299301303301301300301300298299299298298299301299301301301299301300303301302304301303305305302305305304304302302302302305306306305304305305304306303303306303301301302302302302302303301302303302303302303302304303302302301302301301301302301302301302300303302301301302301304301304305304306304304304306307305306303304303304306306305305304303304304304304304304304305304304306303305305305303304302301302303303303303304304306307307307306306307307308308307307307307308308308307306307306305305305306304304302303304304303302301301303302303302301301299299299299300298299299299299300299299299300298298299300300300301297301300300300300301300300300301300300303300299300300299299299299299298298298299298297297296295296297297297296296295295295295294295295294294294295296296294294297294292292290290290290290291290291292291291292292293292292293292294294292293292291291292291291291292291291291291291291292292292292292292292291291292292292291292292292292292291291291290290291291291290290290290290290290290290290289289290290291292292293293293293293293293293293293292292291291290290289289289289289289289289290290290290290290290290290290290290290289289289289290290289290290290290290290290290290291291291291291291291291291291290290290290291291290291291290290290290290290290290290289289289289289289289289289290289289288288288288288288288288288289289289288288289289289289289289289289289290290290290289289289289289289288289288288288288288287287287287287287286286285285285284283283282281281280279278278278278278278279279279280281281280281280281281280280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286282281282282281282284286288290289291293294295296297296294294295296296297298298299299299300299299299300301301300301301301300300300300299298300299299300298299299299300301301300300301301300299300300300300301302300302302300300300301297299999304300299301301300298299299300301302301300300300300299299299299299300300301300300301299301302301302301302303303303304302305305305304302302302302302305304304303304303306303305305304305302303303303303301301302302302302302303302303303303303302302302302300301301301301302302301301303300302302303302304304304305305305305303304304305305305306305305303305306306304305304303303304303304304303304305303305302302305305302304303303303304303303304304305307306306307306306307308308308307308307307308308308308307306307306306304306305304304304303304304304304304304304303302301301300299301300300299299299300300300302299300300300300300300301301300301300300300300299299301301301301301301300300300300300300300298298298298298299298297297297297296296297297296295295297296296296296296295295296295295293294296293295296294292292293292289292290290292290292292292292293293293293293293293292292293293293292292293292292292292292292292291292292292291292292291291291292292292292292291292292291291291290290291291291291290290290291290290290290290289289289291291292292293293293293293294294294293293293292292292291290290289290289290290290290290290290290290290290290290290290290290290290289289289289290290289289290290290290290290290290291291291291291291291291291291291291291291291291291291291291291291290290290289289289289289288289289289289289289289289288288288288288288287288288288289288288288288289289289289289289289289289289289290290289289289289288289289288289289289288288287287287287287287286285284284283283283282282281280279279278278278278278279280279280281281281281281281281280280280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288284281282282282282283284287289289289291294295296296298299296296297297298298298298299298297299300299299301301301300299299299300299300300299299299300300300299299300301301300301301300301300300300301301300299299301302302302299297297297296296999297299300301300299299298298299300301301300300299300299299299299299299300299300301302300300301303304304304304303304304303304306305304303303302303303303304305303305306306306306304307306304304304302304304305302301303302304304304304304303305304304302303302302302300301302302304302303302303304304303305305305305305305305304302306306306306305303304304306307307306306307307303304305305303302304305304304304305305305304304305305305305304303304305305306306306309306305308307308308308308308308308309308309308307308308305305304304304304304303304304305304304303303302302301300301301301301299299299299300300300299300301301299298298298299299300299300300299301301301301302302302301301300301300300300298298298298299299299298298298297298296297297297297297297297296296298299295297296298295296296295295296296298293293293292291291292292292290292292292290290293294293293293293294293293293293293294293293293293292293293292291292293292292292291292292291291292292293293293292292292292292291290291291291291291291291290291291290290290290290290290291292292292292293293294294294294294293293293293292292291291290290290290290290290290290290290290290290290289290290290290290290290290290290290290289290290290290290290290290290290291291291291291291291291291291291291291291291291291291291291290290290290290290289289289289288289289289289289289289289289289289289288288288288288288288289288288288289289289289289289289289289289289289289289289289289288288288288288289288289288288287287287287287287286285285285284283283282282282281280279278278278279279279280279281281281281281281281280280280280280278279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297289283282280280280283283285287288289289292294296296297298299299297297297298297298299298297298298298299299298298298297297297298299299299300299300299299301301300301300300300300300300300301301301301301300300300299301300302301300298297298298298299299300300299300300299299297299300300300299299299299299300300299299299299299300300301300301302303300300301302302301301304303304305305304303302304304304305304305305306306305304305304304306304305303305305304303302302304306306304303304303303303305303303301300301301301302302303303303305304304304304304305305305306306306306307303306305306307305306307309307308308307307307306307306305305303304303303302302305303304303303302302302304304304305306306307307309306305306307308307308307308309308307307307308308308308306306305305305304304304303302304305305305304303302302301301301300301302300300300300300301300300300300299299297297298298299301298300300301301300302302302303301301301301300300300300299300300300299298299299298297298298297297297297297297297297295295299298297297297298298299297294294297296294295294295293292295293293292292293293292291291292292292291293293293293294293293292294294294294294293293292293293293293293292290292292292291291291292292292292292292292292292291291291291292291291291291290291291290290290290290291292292293293292293293294293294293293293293293293292292291291290290290290290290290290290290290290290290290289290290290290290290290290290290290290290290289290290290290290290290290290291291291291291291291291291291291291291291291291291291291290290290290290290290289289289288288289289289289289289289289289289289289288288288288288288288288289288289289289289289289289289289290289289289289289289289289289288288288288288288288288288288288287287287286286285285284283283283282282282281280280279279279279279279280280281281281281281281281281280280280279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282280279279281283284286287287288290292294295296297299300299299297298298298299299297297297295294295295296297297298298297298298299299300299300301301302302302301300300300300300300300300301301301300300301301301302299302303301299297296295300300301300299299299300299299299299300300301299299299299299299299298299299300300301301298300300302302300299299301301302302303302304305305304304303303304305304305304305304306305305305304306305304304302304302303303302303305306305304304304302302303303301303302302302302300302303303303304305305304305304305305306305306306306307308308307310307306306308309310310308308308307307308307307306306305305303301302302305303304304304305303303304304304306307307307307307306305304305307306307307309308308308307307308308308308308305304304305305303303303303304304303303304302304303301302301301301302300301301301301301300300300301300300300297298299299301301301299300302302303303302302301302303301301300300300300299300300300300299298297298298298297298298298298298298297298298301300299299299297298296295294296295295296296295296295293293291294293294293293294294293293293291292292294293293293292293293293294294294294294294294293293294293291290290292292291291291292292292292292292292293292292292292291291291291291291290290291291290290291291291292292293293292292293293293293293293293293293293292292292292291291291291291291290291291291291290290290289290290290291290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291290291291291291290290290289290289290290289290290289289289288288289289289289289289289289289289289289289288288288288288288288289289289289289289289289290290290290289289289289289289289289289288288288289289289288289289288288287287287287286286285284284283283282282282281280280279279279279279279280281281281281281281280281281281281280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283281278277280281282284286287288289290292294295297298299301301299299298298298299298295294293293293295296296298298297296297297299300301301301301302302302302302301300300300300300300300301301300301300300301301301302301302302302300297297299300300299299299299299299299300300300300300300300300299299300298299300300300300300300300300300300301302300300301303304305302305305304306306305305305304303304304305304304305305305306305305304306305303304300300300303305304303305303302305304303301301303304302300301300301300302302302303304302304304305305305305306304306306306304306309307309307308309309308307307308309309308308308308307306307305307305305305306306306307307306305305306305306306307307308308309308305305306308307307306307308308308308307307309309308307309306305305305305305305305304303302305303303303304300300302302301300301300300301301301300300300300300301301301299300300299300299298299300301301302302302301302301301301301301301301304301301300300299299298298298297299300298298299299298298297299301300300300300295297298295295295295295297297296295293293294294294294295294293293295293292292294294294294293293293292292293293294294294294295294294294294293293293293292292293292290290291291291291291291291292293292293292291291291291291291290290291290290290291291292292293293294293292293293292292292292293293293293292292292292292291291291291291291291291291291291290290289290290290290290290290290290289290290290290290290290290290290290290290290290290290291291291291291291291291291291291291291291291290290290290289289289289289290289289289289288288289289289288288288289289289289289289289289288288288288288288288289289289289289289289289289290290289289289289289289289289289289289289289289289289289289289288288287287286286286285284284284283282282282282281280280279279279280280281281281281281281281281281281281281279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282277276278280281282283285287288289291292294295298300300302301301299299298298296296294292293293294295297298299298297296298300301302303303302302302302302302302301301300301300300300300301301301301301301302301301302302301301302301299298299300299299299299299299298299299299299299300300299299299299299299299299299300299300299299299300300302303301300300301305305302302303306306305305305305305304303304304303302305305304303303304304302303301301300300302302303302303302301300303302304302300300301303300300300302300302303303302303302305303305305306306306303306306306306308307307307308308309309309309309310308308309309308308307307307304305306306304304304307306306306306305307307307308308308309310312307306305303307307307307307307308308309308308309309309308308306306306304304305305306304304302303303302304302300300301301300300300300300301301300301300301299299301300299300301298298298299298299302301301301302301302301301301300302300300301301301300300300300299299299298297298298299299300299299298299299301301300300297296297298296298298298298297297296295294296296295295295292291289294294294294292293293295294294293293292293293293294294294295295295293294293294294293292294293293292290289289291291291291291292292293292293292291291291291291291291290290290291291292292292292292293293293293292292292293292292292292292292292292292292292291291291291290290290290290290290289289289289289289289290290290290290290290290290290290290290290290291291291291291291291291291291291291291291291290290290290290290290290290290290290290290289289289289289289289289288288289289289288288288288288289289289289289289288288288288288288288288288288289289289289289289290289289289289289289290289290290289289289289289289289289289289289288288287287286285285284285284283282282282282281280280280279280280281281281281281281281280281281281280280280279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296287279273275280280281282283286287287290292292294296298299300302301302300298297296295294293293293294295297298299300300300300300300301302302302302302302302301301301301301299300300300300300300301301301301302303303302300300300302302301299296297299299300299299300298297298299300300300300300300299300299299300300299299299301300298299300300302303303300301301300304304303303303304302304305305304304304304304303303302300303304304303304303303302302301300303303303302299301302300302302302301302300302301300301301301302301301302303302302304304304306306306306306306306306305306309308307308308308308309309308310310310310311309309309306307305306306304305306305307308307306306306307308308309309309309309311310309307307306307306307306306306307306308307309308309308306306307306306306305305305306304304303302303302302303301301302301301300299300301301300303299300300299298298300301299301301301299301299300300301301303302302302302302302301301300301301301300300299300300299300299299298299299299299299299299299299299299301300299298298299297296298299298298298299299298298298297296297295292291292293294291294295293293293293294293293293293293293293294294294294294294294293292293292292292291290290290289290290290290291291292292293292290291291291291291290290290290290290290291291292292292292292291292292292292293293293292292292291291291291292291292291291291291291290290290290289289289289289289289289289290290290290289290290290290290290290290290290290291291291291291291290290290291291291290290290289289289289290289290290289289289289289289289289289289289288288288288289289288289289288288288288289289289289289289289289289289289288288288288288288289289289289289289289289289289289289289289289289289289289289290290290289289289288288287286286285285285285284283282282282282281280279280280280281281281281281281281281281281281281280280280279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297290999275278280281281283283285287289290292294296297299302302302301301299296295294293293292295296296297297299299300300301301300301301302302302302301301302301300300301300299299300300301300300299299301301300301301303300301302301301301299298298296297298298299298298298298299300300300301300300299299299299299300299298298298300300300300301302303303301302301300301303302304303301304304304304304304304305305305304303303304304304303303303303302301301301301303302302302301302301300299299301300301303301301301301300300301300300300301302303305304304306306306306306307306306306306306307307309308308308308310308309311310310308309309307306308308308304307308306306306308306306306307307308309309310310310311311309308307307307307307307307305306307307307309308309307307306307306306307306305305305303303303303301301303302302302301302302302300299300300301301300300300300299298301300300301302302302302301300302302301301301300299300300300301300300301301300300300300300300300300299300299300299299298299299299299299301301299299298298298298298297297297298298300298298298298297297295295292294291292292293293294294293294292293292293293292293293293293294294294293293294293293294292292292289291291291289289289289290290291291291292292292289291291291291291290290290289290290291291291292292292292292292292292293293293293292292292292291290291291291291291291290290290290290289289289289289289288288288288288289289289289289289289289290290290290290290290290290291291291291291291291290290290290290290289289289289289289289289289289289289289289289289289289289289289288288288288289289288288289288288288288289289288288288289289289289289288288288287288288288288288288288289288288288288288289289289289289289289290289290290290289289290289289288287286286286285285284283283282282282282281280280280280281281281281281281281281281281281280281281280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302306999290999280281281281282283283285287289290291294297297300301301301301300300297294293292294294296297297297298300301301300301301300301301302302302302302302302302302301302301300300300300300300299300299301300300300301300300300300302301300299296297297297299298298298296296298299298300300300299299298298299299299300299298296301300301301301303303303304305305305304304304304303303302302303303303302303304304304304306304304304303303302302302302302302301301299301300301301301301301301303300301300300300302302301301300301301300302300300301301303303304305305305306307307307304305304306308308308308309308307309310310310310309308308310309308308306307308306308307309307307308307307307309309310310310310310310310308307308309308307306305307307310305305306307308309307307304305306306306305304304303303302303302301302302303302302302302302300299300299299300302301299299300299299299299299301301301301301301301302302302302302301301300300301301300300301301301299299298299299299299299299300300300300299298299299299300299298298298298297297297296298296296298299298297297297295295297297296294292291291293292293293294294294293293292291293293293293294294294294293293291293294293293293292291291291290290290289289289290290291290291291291291290291291291290290289290290290291291291291291292292292292292292292292292292292292292291291291291290290290291291290290290290289289289289289289289289289289288288288288289289289289289289289289290290290290290291291291291291291291291291291291290290290289289289289289289289289289289288288288288288288289289289288288288288288288288288288288288288288288287288288288289288288288289289289289289289289289288288287287288288288288288288288288288288288288289289289289290290290290290290290290290290289289288288287286286285284284284283283282282282281281281281281281282281281282282281281281281281280280281281281280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302295293288286280281282282282282284285287288289291293295296297299301300299301301300299296295295296297297297297299300301301300301301300300300301301302302302302302302303302301301301301300299299300300300299300300300299300302300301300300300301300298298298298297297297295297298297298299298299300299299299299299299299298300299301300301301301302303303303304301302302303304304304305303303302302302302303302303304304303304304304305303303303301302302302302301301300298300300301301301301300303301300299300299300301301301302301301302302302302301302301304305303305306307307307307306306305307307307306308308308308308308310309311309308307308307308308308307307307308307305306309306307307308308310310311310310310310310310308307306307306305303304305305306308305306306306307308307306306307306305304304303303302302302301302301302302301302302304302300299299299300300300300299299300299297300299297297297298299300300299300302300300300301300299300300299299300300299300299299299299299299298298298300299299298298297298298299299299299298298297296296295295295295296296296296296295296295296294293295294293290290291293292293292293293292292290291291291293293293294293293293293293292292291291292292292292291292290290290290290290290290290290291291291292291290290290289289290290291291291291292292292292292292292292292292292292292291291290290290290290290290290290290290290290289289289289289289289289289289289289288289289289289289290289289289290290290290290290291291291291291291291291291290290290289289289289289288288288288288288288288288288288288288288288288288288288288287288287288288288288288288287287288288288287288288289289289289289289289289289288288288288288288288288288288288288288288288289289289290290290291290290290290290290290289289289288287285286284284285284283283282282282281281280281281281282281282282282281281281281281281281281280281280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283298999999283285282282282282282283284283284286288289291293294298298294299301999298298300300299298297297298298297297299301301301301301300301301300300301302302303302300302302302302301302302301300301301300299300300299299299299301301301302301300300301300298298298298297296297297298298299299299300300300299300299299299300297299300301302302302301301303304303301303302302302302303301304303301303302304301303302302303303303304303302303303304304302302301302302302301301301299298301302302298301302303302299301301301301301299303301301302302302302302303303303304303304304305306306307306306306307308307306308308308308308309309309309311309308308308307309309309308309307309309307307308309307307307309310310310310310310310309309305306306305305305304306307307309307307303307307306307307307307306306305305304304304304302302301302302302302301301302301302300300299299299299301297299299298297298298299299297298297298299300299301300301300299300300300300300299300299299299299298299299299298299299299299299298298298296296297298298299299298298298297296295295295294294294295297296296296293294295295293296295294293293292292292290292293292292291290292291292292293293293293293293293293293292291292292292292292292291291291290289289290289290290290290290290291291290290289289289290291292291291292292292292293293293293293293292292291291291290290290289289289289289289289290290289289289289289289289289288289289289289288288288289289289289290289289289290290290290290290291291291291291291291291291290290289289289289288288288288288288288288288288288288288288288288288288288288288288288287287287288288288288287287288288288288288288288289289289289289289288289289289289288288288288288288288288288288288288289289289290290290291291290290290290290290289289288288288287286286284285285284283283282282282281281281281282281282282282282282281282281282282281281281281281281280279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286279278279280282283284283283283283284285287289291291293295300298296999999999999999999297297298298298298298299301302302302301301301301301301301300301302303303303302302302302302301302301300301301301300299301300299299300299301301301300301300300301300298298298298297296296298297297299300300300300299299300299299299300300300301301302302301301302303304300301302303301304302303304305304304302303303302301303301303303303304303304302304303303303302302302302303302301302301300302302302303302302302301300301302303302302301299300301301303304304304302303304305303302302306306306305306303307307307307307305306307308307307308308308309310306307311309311311310310310310310310307309310311307307307309310310310310311309308309308307308306306306307306306308309309307307306305306305309306306307307307305305304303304304303303303303303302302302302300300302301302301301301301301301301301301298298298300300299299298299299300299299300300300301301300300299300300300299299300300300300301298298300301300301301300299299299299297298298298298298298297295295294294295295295294295296297293294294293295295294296295295294293292292291291291293292291292291291291292292293293293293293293293293292293293291292291291291291292289290289288290290290290290289290290290290290290290289290290290291291291292291292292292293293293293293292292291290290290290290289289288289288288289289289289289289289289289288288289289289289289289289288288288289289289289289289289289290290290290290290290291291291291291291290290290289289289289288288288288288288288288288288287288288288288288288288288288288288288288288288288288288288288288288289288288288288288289289288289288289288288289289289289289288288288288288288288288288288289289289289290290290290290290290290290290290289289288288288287287286285285284284283283282282282282282282282282282282282282282282282282282282282281281281281281280279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289274275278279280281283285285285285285287289290291291291294299301999999999999999999999999293295298299298297299301303302302301301300301301301301301301303303303303303302302301302301301300300300301301301300300300300300300300301301300299299300301301301300299298298297297296296297297298298298298299299299299299299299299298300299300301300300302302303304304303303305305303302302303305305304302301305304304302301302304304304303304304303304304303303301302302302303303303303300302300303302304303302302302301303303303303303303302302303303302302303303302304304305305303301303304303306307307306306306306307307309308308308308308306310309309308306308310311311308310308310307307307309309308310310310310310310311311311309308308308305305306307307307306306307305307306308308306304306306305305305306307306306305304303303303303303303303303302302303301300301300299301302301300301301300301299298298300297298297297298299301300300300299300300300300300301300301300300298298299300299300300298299298299299300299298298299298298296297296296297299297295294293294293295295295296296294296293294295295295293293294294293293292290290290291291291291291292290291291291291292292292293293293293292292292292291291291291291290290289290288288289289290290291290290290290290290290290289289290290291291291292292292293293293293293293292291291290290290290289289289288289288288288289289288289288288289288288288288289289289289289289289288288288288288288289289289289289289290290290291291291291291291291291291290290290289289289289289288288288288288288288288288288288288288288288288288288288288288288288287288288288288288288288288288288288288288288288289289289288288288288288288289288288288289289288288288288288288289289289289289290290290291291291291290290290290289289289288288287287286286285284284283283283282282282282282282282282282282281281281282281281282282281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285275277279280282283286287288288287290290291291292293293296301999999999999999999999999999291293296296296299301302302302301301300300301301301301301302302302302302302300301302301302301300300299300300300300299299299299300301299299299298298298301301301300299298298297297297297297298298298299299299298299299299298299299298298299299300299300300301303303303300304304303301301301304302301301302304304302304302301302302303303302302301304304303303303303304301302302302303303301302303303303303304304302304303303304303304302304301305304307303306306306306306305305304304304304304305307307307307307306306306307308309308306306308309307309306308310308310310311309309311311308307307308309310310311310310309310310311309310309308306306307307307308307307306305306307307308308305305305305305306305304305306306305304304303303303304304304303303303303302302301300300302301299301300300299299298299299298298298298298299299300299300300300301299300300299299300300300299298299300300300300300299298298298298298298300298298297297297297298297296296296296294295297296294295295295295294295293295294298294293293293294292293292292290290291291291291292291290290290291291292292292293292292292293292292291291291291291290289290290289288288288288290290290290290290290290290290290290290290291291292292292292293293293293293292292291291290290289289289289289289289289289289289289289289288289288288288288288289289289289289289289288288288288288288288289289289289290290290290291291291291291291291291291290290290290289289289289289288288288288288288288287288288287288288287288288288288288287287287287287287288288288288288288288288289288288288288289289289289288288288288288288288289288288288289289289289288288289289289290290290290290290290291290291290290290289289289288288288287287286286284284284284283283282282282282282282282282282282282282281281282282282283282281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294280277279280281282283285287290291290289289291292293294294294296298301999999999999999999999999290291292294295299301302302302302301301301301302302301303302302302302303300301301301300300301301298298299300299300299299299298299299300299299299299300298300301300301299298298298297297297298298299299298298299299298298298298299299298298299300302300301301302302302303303303303301301301301304301301301302301301302302301301301301302303303302304304303303304304303302302302302302302300303302302302303302304304304304304304303304303303302304305306307304304306307307305306306305306304305306307307307307307307307306306307307307308308309308306307308309309308308307309307307307307307307307309309310309309310310310308309310311308309309308305307308308308307308307308307305305307307309308307306305304306304305303305306305304304305304304304304304303304303303302301300300300300300299300300300300299300300300298300300299300300299299300299299298299299297297299298299299299299299298300300300300299298298301299300299300298297298298298297299298297297296294296295294296295293294294295295294293293293294295295292292292296291293292290291290290290291291291291290290291290291291292292292292292292292291292291291290290290289290290290290289289289289290289289291290290291291291291291291291291292292293292293293293294293293293292292291291290290290289289289289290289289289289288288289289289289289288288288289289288288289288288288288288288288287288288288289289289289289290290290291291291291291291290290290290290289289289289289289289288288288287287287287288288287287288288288288287287287287287287287287288288288288289288288289288288288288288289289289289288288288288288287288288288288288289289288288288288288289289289290290290290290290290291290290289289289289289288288288288288287287286285285284283283283283282282282282282282282282282282282281281282282282282283282281281281281280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280282283283286287289292290290291291293293294295294296296295296999999999999999999999999999288288290295298301302302302301302301301301302302302302302301302302302301301301301301300299301301300299999999298299299300300300299300299299299299301301300300300299300301300299299298297297297298298299298299299299298298298299299299298299300300299300301301302302303302303304304301301301301303302302300301301302301302301301301301302302302304304304304304302303304303303302302302302300301300301303302301303304304304302303303303304303302304305305308304304307304306305306308306305307307307307307307306307306305306306306307308307308308309308308308309309310309308309310310310311311308308308309307307309309310311308310312311311309309307306308307308309308309308308308307307307308309309307308308308308308307306306305304305303303303303305305305305304305304303303303303301300300298299300301301300300300300300300299299300299299299299300299298299299299300300302299298298298299299299300300299300300300300300300301302300300300300300299299298298297297297295297296296296296296297295295293293295296294295295297295297295295291295292290289290290290291290290291290291290291291291291292292292292292291291291291291291290290290290290290289290289289289289291291291291292292291291292292292292292292293293293293293293293292292292291291290290289289289289289289289289289288289289288289289289289288288288288289288288288288289288288288288288288288288288288289289289289289290290290290291291291291291291290290290290289289290289289289289289288288288288288288288288288287287288288287287287287287287287287288288288288288288288289288288288288288288289288289289289288289289287288287287288288288288288288288288289289289289290290290290290290290290290290289289289289289288288287288288288287287287286285285284284284283283283283283283283282282282282282282282282283283283283282280281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284285286287289290292292292292292293294295294294295296298297999999999999999999999999999999999288294299301301302302302301301300300301300301302302301301301302301300301300300301299298301301300300301300301299299300300300299299299299299300300300300300297298301301300299299298298298299299299299299299299298298298298299299299299300298299300300301301301302302303303304303301302300301302301302301301299300301301301302301301302302302302303303301303303302302302302302302303302304304301302303302303303304304305303304303304305305304305305306306307305307306306307306307307308305307307307306307307307307308307305307307308308307308307309309309307309309310307310310310307310309308308309309309309308309311310311309310310310310309308309308307307308307308308308309308308308308309309309308309308308308307307306306305305303304304304304303303304304303303303303303300300301301299299300300300300300300300300300300300299300299299299300299298299300298298298298297299297298298300299299299300299299300301301301300301300300300300300300301300299298298297297297296298296296297297296295293292296293295294293298296294297294292290292290290289291291291291291291290291289290291291291291291291291291291291291291290291291290290290290290289289289289290290291291291292292292291291291292292292292292293293292292292292292292292291291290290289289289289289289289289289288289289289288289289288288288288288288289289288289289289289288288287288288288288288288289289289289289290290290290290291291291290290290290290290289289289289289289289289288288288288288288288288288288288288288288287287287287288288288288287288288288288288288288288288288288289289289289289289289289289289288288287288288288288288288288289289290290290290290290290290289289290290289289289289289289289289289289289288288288287287286285285285285284284284284284283283284284283283283283283283283283283283282281280281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283300291290285284285286287288289291291292293294294294294295294294295295299302999999999999999999999999999999999999292298300301301301302302301302301300300301301301302301301301301301300300299300301300300301299300301301301300300300300300300301300301300301300300299300299298300300300300300299299299300299298299298300300299298298299298298299299298299299299300300300301301301299302302303303303301300299301300301302299299302299301301301300301302301302302302302303303303302302303303303303303302305304301302302304303303303303303303303304304305306305305306305305307307307307306307307307308306307308308307307306306307307308307307309308308308307309309308309308311310308308308308308308307309308308309310309309309309309311309309310309309310307308307307306308307306306307307308309308308309309309309309308310309309308308308307307306303301302304303303304304304304303303303303302302300300299299300300300301301300299300299300299299300299299297297297298298298299299299299297299300298299300299299299299299299300301300299300301300300300299300300299301300299298298297297295297297296295294295294294294296294294296295296296292295294294293292291291291290291290291291291290290290290290291291291291291291291291291291292291291291291291291290290289289289289289290290291291291292292292292291291292293293293293293293292292292292292292292291291290290289289288288288288288288288288288288288288288289289288288288288289289289288289288288289288287288288288288288288289289289289289289290290290290290290290290290290290290290290289289289289289289289289288288288288288288288288288288288288288288287287287287287288288287288288288288288288287288288288289289289289289289289289288290289289289288288288288288288289289289290290290290290291290290289289289289289289289289289289289289289289289289289288288288287287286285285285285284284284284284284284284284284284284284283283282283283283283282280281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286291297288284284286287288288289291293293294294293294294294294294295295297299999999999999999999999999999999999999291296299301301301302302301301301301300300301301300300301301299300301298298299299301300301300300298300301301301300300300301300300301301301301301301300300300300300301300299300299299300300299299299299300299298298298298298299299297298300299299300300300301301301302299303302301300300301299299299299300299299300301301301301302300301302303302302302301302303303304303304304304303303304303304304302303303302303303303303303304304305306305305306305304304306305304306306305306306309308308307308307307306307307308307308309307308307309310310308308307308308308308308308310311307307309308310309308309308308309309309309310310309309309309305306306306308308308308307308308307309307307309309309308309309309309308308307307306304304303303304303303303304304303303304304303302303302302303302302302300300299299299299299299299299300300301300300299299299299300299299298298298299297297298298299298298298300300299299299300300299299299300299300300299299298298297297297296297297297296295296295297296295296297298298295295296294292293294292292291291292292290291291290290290290291291291291291292292291292292292292292291291290291290290290289289289289290290290291291291291292292292292292292292293293293292292292291291291292291291291290290289289289288288288288288287288288288288288288288288288288288288288288288289288289289289289289288288288289289288288288288289289289289290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289288289288288288288288288288288288288288289289288288288288289289289289289289289289289289289289289289288288289288288289289289290290290290290290290290289289289289288289288289288288288288288289289289289289289288288288287286285285285285284285285285284284284284284284284284284284283283283283283283283282281281280281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287287288287287288288288287289291294296294291291293294294294294296298301304999999999999999999999999999999999999294299301301301301301302301301301301301301301300300300299300999299299999999300300301301301300299300300300301301300301300300300300302300302301300300299299299299301299300299299299300299300299298299299299298298298298299299299298298297300301299300300300301301302301302303302301300300300301299301301301301300301301303302303302302303303303304303303303301302303303303304304303304303301303302303303301302302302302303305305304304304305301303305305304305306306307307306305306309308308309308307307308306306307308307308309309308308308308307310310308308309307308308308310309308309311308309307309309310307308309309309309310309309309308308308308308308308307309309308309309309309308308308307307308307309308308307307306306306305304303302301302302302303303303303303302301301301300300300300299299299299298298299298299300299297297297300300299299299299299299298298298300298298297299298298298297298301297299298300300299299298299299297299300299299299298298297298298297298298297297297295296297296296296298297296296295293293293294292293293291291292291291291290290291290291291291291291292292292292292292292292291291291290290290289289289289290291290291291291291292292293293292292293293292292292292292292292292291292292291291290290289289289288288288288288287288288288288288288288288288289289289289289288289288289289289289289289288289289289288289288288289289289289290290290290290290290290291291291291290290290290290290290290289289289289290290290289289289289289289289289289289288289289289289289288288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289290290290290290290290289289289288288288288288288288288288288288288288288289289289289288288287286285285285286284284285284284284284284284284284284283283283282283283283283282282281281280281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283285286287288288288290291293295296294291290292293294294295296298302999999999999999999999999999999999999292298300301301301302302301301301301301300301300300299298300299299299298299299299300299298299297298298298300297299300301301302300299302303301301301299299299300300300299299299299300298299300299299299298298298298298298299299299297299299299299299299299300300300301298299299299301300300299300299300301300299299299299301302302300301302302301304304302304302303302303303303303303303304302302304303302301301302301302303304304305304305305305302305304304304305305306306306306305307308309309308308307307306306307307308308308308308308309309310309307308307307308309308308309309310310310310310311310310309307308310310310310309309311309307307307307307306307307307305307306306307307307307306307306307308306305305305307304305302303303302305303304304303303301302302302303302302301303303300300300299299299299299299299299300300298298298299299298300300301298298297298298297297298298298299299300299299297298298299299300301299299300300299300300299298299299299298297298298298298298298298298296298295297297297297296295292292292293294291292293290291292290292291291291291291291291291291292292293292292292293293292292291291290290289289289289290290291291291292292292292293293294294294294294293293292292292292292291291292291291291290290289289288288288287288288287288288288288288288288289289289288289289289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290291291290290290290290290290290289290290290290290290290289289289289290289289289289289289289288288289289288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289290290290290290290289289289288288288287287287287287287287287287288288288289289289288287287286285285286285285284285285285284285285285285285285285284284284283283283282283283282281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279280282283284286288289289291293295296295294293293294295295295296298300304999999999999999999999999999999999999295299300301301301301301301301301301301300300301300300300300299298299299299298299300300298298300297298300300300299299300300299299299299299299301301300299300301301300300299299300299298299299298299298298298298298299298299298299299299299298299299299299297298298299297297299299301299300299301300300301301299298298299300300301300302302301302301304304304302303302302303303304304302304303303302302302303303302301301301303303304304305305305304304305304305305305305305306306306307309309307309308308307307307308307309309309309309309309309308308309308309310309309309310309310310309309310311309310310309308309309309309307306310308307308307307307308308308308308309306308307307307307307306307307307306306306306306307305305305304303302302303303302305302300302302301302302302302301301300301300299300299299299299299299299300300299300299297298299300299298299297297297298300299299298299299300299299300299299299299299300300301300299299300300300299299300300298299297298299299298298299298298297297297297298296295295294294294293293293293293291290291292291292291291292292292291291291292292293293293293293293292292291290290290290289289290290291291292292292292292293294294295295294294294294293293293293293293292291291291291291290290289289289288288288288287287288287288287288288289289288289289289289289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290289289290289290290290290290290290290289289290290289289289289289289288288289288288288288288288288288288288288289289288288289289289289289289289289289288289289289289289289289290289289289289289288288288288288287287286287287287287287288288288289289289289288288287286287286286285285284285285285285285285285285285285285285285284284283283283284283282281281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278280282282283285288290291293294296297294292292294298299297297297300302999999999999999999999999999999999999293296299300300301300301301300300300300301300301301299301301300300300300297297298298297300300300300298300300300300300299301298299299301299299302301300298300300300301300299299300299300300299299299299298299299299299299299299299299300300300299298299299299299299300299298296299299299300299300298301300299300299299299300300302299299301301302302302303303304303303305304303304305303303304303301302303303303304302302300301302303303304305305304305305303305304305306306306306307307308309309309309308307307308308308309309309309308310308309308308307307307308307308309309308308307309309309309309309309310310310309309310310309312311310308308309307309308309309309308308309308308307307306309307307307308307306306305304306306306305305305306306305304304303305303303302303302303303302302302302302301300300300300300300299300300300301301300301300300300300299299298297299298297299299299298298299300300299302301302299300300300301302299301300299300300301300300299298297299299299299298298298298299298299297297297295294295294293293293293293292293292291291292292293294292292293292292291292293293293293294294294294293292292291291290290290290290291292292292292293293294294295296295295294294294294294294293294293293292291291291291291290290289289289289288288288288288288287287288288288288289289289289289289289289289288289289289289289288289289289289289289289289289290289289289290290290291290290290290290290290290290290290290290290289289289289289290290290290290290290289289289289289289289289288288288288288288288288287288288288288288288288288288288288288288288289289289289289289289289290290290290290290290289289289289289288288288288287287287287287287287287288288288288289289289289288287287287286286286285285285285285285285285285285285285285285285284284283283283284283282281281281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276277278278279280281284287290292293294295297296292292292292298301299296297301999999999999999999999999999999999999999293298300301300301300300300302301300302302302301301301299300300299299296297301298299299300301300299300301299300299300299299299299301301298301302301299299300300300300301300299299298300299299298299298298299299298299299300298300299299298298297298297299299299299300297298299299299299298299300299300300299299299297298300302301302302302302302304302302303303303303304303306306303304305303302303303302303303302301302301301302302301302303304304305304303305304306304306307306307306308309308308308308308309308309309309309309308309308308309310309308308309308308310311309307307308310309309309309310310308310309309309310310308309309308307308308306309308309308308308309307308307308307308310309309308309309309306306306305305306305306307307307306306306305304302303303302301301301302302302302302301301301300301301300300301301301300300300298299299298300299298299298298298297299297299299297300300300302299300300299299300300301300301300300301300300300301301300299300300300300300299299298298298300299299296295295295295295293294294293293292293293292292292293293293292294294293292292292293293293293294294294294293293292292291291291289290291292292293292293292293294295295294294294294294294294293293293293293293292292291291291291291290290289289289287287288288287287287287288289289289289289289289289289289289289288288288288289289289289289289289290289289289289289289289289289290290290290290290290290290290289290290289289289289289289289289289289290289289290289289289289289289289289289289289289288289289289289288288288288288289289288289289288288288289288288289289289289289289289290289290290290290290290290290290289289289288288288287287287287287287287288288288288289289289288288288287287287286286286286286286285285285285286286285285285285285285284284283283283283283282282281281282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277272273274276276275276279284289291293294294296297293290291291290297301300297299299999999999999999999999999999999999999999294299300300301302300300300301299300301300300301300298300300299300300299298300300299297298300299299300300300301299299299299299298300298299301301300300299300300300299300300299298297299299300299298298298299299299299300300300300299299298298298298298298299300300301298298298300298299297300299298299299300300298298300301301301301301301301304305301302302303302305304303305303305302304303302305302302303302302301302301303303302300302304305304304304304304303306304306305305307306308308309308308308308308308309309308309308308308309310310310310310310310307307308308308308307308308308310310312310310309308310310309310313308308307308307308308308309308308308307308307307307307307307305310308309309306307306309308305306305306304304305306307307306306305305303303303303303302300302303303302301301301302301301302302302302302301302301301301301301300298299299297297297296301298300299301301299301299300297300299299299301299300300301302302302301300300301301300300301301299299300300300300299299299299297296296296297296296294295294294293293294293292292293293293293291294293294293292292292293294294294294294294294293294293292291291290291292292293293293293294295294295295294294294294293294293293293292292292293292292291290290290290290289289289288287287288288287287287288289289289289289289288289289288289288288288288288288288288288289289289289289289289289289289289289289289290290290290290291291290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289288288288289289289289289289288289289289288288289289289289289289290290289290290290290290290290290290290290289289288288288287287287287287287287287288288288289289289288287287287287287286286286286286286286286286286286286286286286286285285284284283283283283283283282282282283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286280266267270273274274276280286290293295295295296296291288289289287295300299296298999999999999999999999999999999999999999999295299300299299301301299300300300300301300300299300300300300300300299299300300298298297301299298299299300298299299299299299299298298300300301300300300300299299298299300299298298298299299299299297298298299299299299298299299299298299300299298298298299299299301301297298298300299299299299298298299299299300299299301300300299301300297302303304300304303302303303302302303304303302302304304303303302303303303303301301301301301303303303303303303305304306302303303304304306305307307308309308308308307307307307308308308308308307310308307309307310310308308308308308308308308308310311310310310310310310309309310310311310310307308309309306307308309308307308308308306307307306307306306310308309308306306305306308308307307305304305306306306305305306305305305305304304302303302301303303303302301302302301301302302302301301301301300301301300302301297300300297301301299300299300300300299299300299299297300299299299300299301298299302301302301300300299300300300300301301300300299299299300298298298297297297298298297296295294294293294293294293293293292291293292292293293293294293292293295295295295294294294294293295292292291292292292292293293292293293294294294294295294294293293292293293292292292292292292291291291290290290289290290288288288288288289289288288288288289289289290289289290289290290289289289289288288288288288289289289289289290290289289289289289290290290290290291291290290291291291290290290290290290290290290290290290290290290290290289289289289290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289288289289289289289289289289289290290290290290290290290290289289289288288288287287287287287288288288288287288288288288288287288287287286286286286286287287287286286286286286286286286286285285284284283283283283283282283282283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276265266266269270272274276280285289292294295296297297295289288286288284292300299297300999999999999999999999999999999999999999999296299299300300301301301301301301300300299300301300300299300300300302300300300300300299299299298300300300299299297299298300299299299300298299300300300299299298297298298298298297296298296296299297298298298298299298298299300298300299298298298298298299300300300301301298299298299300297298298298299299298299299300301300299301299301299303303303300300303302302302305305304303305304304304303304304304303303303302302301302302300302303303305302306304306303304304305306304305306307307307306308308308307308308307308309309306309307308308308309309309309308309308307309307310309308307309309309310309309309309307310310310310307307307308308307307307307307307307308307308308307307308309309309309308307307307307305305306305305305305304306306305306304306306306305304304305307305303303305302302303303302302303302303302301301302301301299301301301302302299301300301300300300300301301301300298300302300299298300301299300300300298298298301302302301301300299300300300301300301300298298299298298299299300299300297297298295295294295295294294294293293292291291292291293294294294294294293294294294295295294294294294293293293292292292292291292292293293293295294294294294294295294294294293293292293293293293293292292292292292291290290290290290290289289289289289289289289290289290290290290290289290290290289289289289289289289288289288288289289289289289289290290289289289289290290290290290291291290291291291291290290290290290290290290290290290290290290289289289289289289290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289290290290290290290289290290290290290290290289288288288288287287287288288288288288288288288288287287287287286286286286286287287286286286287287287286286286286285285285284284283283283284283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287278279277274272272270271273275278281285289292294295296297297296292287288284294291292299299299999999999999999999999999999999999999999999293297299299298300301300301301301301299300301300301301300301300300300301301300300301300298299299298300300299299297297298298298298297298298300299300298299299297298298298298298297297298297298298297298298297297298298298299299299298298298298297298299298299300300298301298298296297299298298297296297297298297299300302300301300301300301301301302303301300302301300303303303302304304304304303303303303303303303303302302301301301301302302303303301302303304305303304304304306307307306305306308307307308308306308309308309309309308308307308309310309309310308308309310308308310309309309309310309309310310311310310310309308307306307307308308307308305306306307306307308306305306307309309309309309306305307307306306305305306306306305304305305305305306305306305304305306304305303306303303302303303303303303303302302302300301301300301300298300300300302299302299299302301303301301300300300300301302301297298300301300301298299299298300301300302301301300300301298299299300298297298298299299300301299298299300297296297296296295295295294295295295295294293292292293292295293294295295295295294295295295295295294294294294293293292292292293292294293294295295294295294294294294294294294293293293293293293293293292292292292292292291290290290290290289290290289290290290289289290290291290291290290290290290290290289289289289289289289289289289289289289289290290290290290290290290290290290290290291291291291291291291290290290290290290290290290290290290290289289289289289289290290291290290290290290290290290290290290289289289289289289289289289290290289289289289289289289289289289289289290289290290290290290290290290289289289289289289288288287287287287287287287287287287288288288288287287287287286287286287287287286287287287287287287287287286286285284285284284283284284284284283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278276274274274274276274275277280282285288291293294295296297296293286285287286287290295299299300298999999999999999999999999999999999999999294299301299299300301301301300300300300300300300301301301300300300300301301300301300301299299299300300300295298297297297297299297297297297297299300299300299298298298298298298298297298298298298298297296298298298299299299298299297298298299298298299299300300300300298298299299296298298298299299299299299299301302302301301301302302302301301300303303300302302303301302303303302300303303301302303302303302302302302301302302301300300303304305303304304304305304305303304305304307307307308306307307308307309309308309309309310309308307307310310308309309309309309307306310310310310310310309307309309310310310310310309307308307308309308309308306307308307306308307308308309308308309308308308306305307306307306306307307307307306307307305307307307307307307308307305306307307305306304304306303303303303303303302301302302302302301301300299299300301303302302300303303303303303302301301300299302301299300300301300299300299299300298300302302302301300300299299298300301299301300298298299298298300297297299297299298298297296296295296296296296294293294294294294293294295294294295296295295295295294295295295294293294294293293293293293293292293294294295295294295295294295295295294294293294293293293293293292292292292292292291291291291290290290291291291289290290289289289289289289291290290289290290290290290290290290290290290290290290289289289289289289289290289290290290290290290290290290290291291290290291291290290290290290290290290290290290290290289289289289290290290291291291291290290290290290290290290290290290290290290290289289290289290290289289289289289289289289289289289289289289289289289290290290290289290290289289289289288288288287287288288287287288288288288288288287287287287287287287287287287287287286287287287287287287287287286286285285284284284284284284283284283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281281277277275271273275278279278280282284285287289291293293295295296294291284286287288288290295298299298305999999999999999999999999999999999999999296299299299299299299300300300300300300300299300302300300300300300302301301300298301300299299300298297298297300299300297299299297295296298298299299299299300297298298298299297296297298299298297298297298298298299299298299300300299298299297297299299299300301301300298299297300298298299299301300299300300301301301301300302300301302302301301299302303300301300302301301302302302301302302302303303303303303303302301300301303302303303302305307304305304305304304305304304305306304306305306307307307308306307307310308309309309308308307307307308309308308310309309307307309309308309308309307309309308309309309309307308307308308310309309307307307308308306307308308308309308308310310307307309308309308306307307307308308307306308309309308309308307306306308308304307308308307306306303304306304304303303303303302304303303302302302301302301301302303304303303300301300300303303300301301299301304303303302301301300298300301300301301302301300301301301300299300301299299299299299300298301301299301298296298299299299298296297295297297296295296295295295295294295294295295295295295295295295295295295295295295294294293294293293293293293293294293293294295295295295294295295295295294294293293293293293293293292292292292292291291291291291291290290291291290291291290290290289289289290290290290289289290290290290290290290290290290290290290290290290290289289289289290290290290290290290290290290290291291291291290290291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289290290290290290290289290290290289289289289288288288288288288288288288288288287287287287287287287287288288287288287287287287287287287287287287287287286286285285285284284284284284284284285284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276278278278277279282285284285285286286287289291292292292292291289287283286290289291293297298299299999999999999999999999999999999999999999293297299299299299298301300299299300300299301300300302301300299300299300302300298299300300298300300299299300300300299298299299297297297297297298298298298299297297298298298298297297297297298298297298299299298298298299299297300299299299299299299298298300300300301302302299300298299299300300299300299301301301302303301301301300301302301301302301302301299299301302300299301302302301301301301302303303303302303302302302302302302304303303304303307305306306306307307307305306305304305304305308307307309309309309307309310309309308308309308309310308309310311310309307309310311309309309309309309309308309308307308308306308308308309307307307307308308307306307308307309309309308308309309307307309307308306307309309308309308307308308308308309307309307307307308307308307307308306306305305305304305304304303303303304304303303303302302301302301303302302302303301303301300303303299301301299301303301304302303302303302299300300300301301299300300300300299299300301302298302298298298298299299300299297297298299297298298297297297297297296296295295296296295295295295296296296296295295295295295295295295294294295294293293294293293293293293294294294294294295295295294294294295295295294294294293293293293293293292292292292292292291292291291291291291291291291291291290290289290290290290290289290289289290290290290290290290290291291291290290290290290290290290290290290290290290290290290290290290290290290291290290290291291291291291290290290290290290290290290290290290290290290290291291291291290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289290289290290290290290290290290290289290289289288288288288288288288288288287287287287287287287287287288288288287287287287287287287287288287287287287286286285284285284284284285285285285284285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282277275277282282282283284287289289288287287287289290291291290288287287285283281284291294296297298298298298999999999999999999999999999999999999999294299298299299299298300300299300301301300300300300300301301299299299300301298299299299300300299299300300298298298297297298297296296296298296296297298298299297298298299298298297297298298299298299298299298298298298298298299299298299299297298300298300299300301301301302302298296296298298298300301301300301302303303303302302299300301300300302299301300300299302302301301302302302302301301301303303303303301303302302303302303303301304304304306305307306305305307303303308304305306307306306305305308309309309309309309309309308310308308309310310310310310311310310310310311310309310309308309309309308308309308308308307307309309309308307307307308308308308309309309309309310309309308310308307308308307307308307308308307308307306306309309309308307308308308308308308309308306307307307304305305305305305304304303304304304304304302302302302302302304303304304302303303302304302300302302301299303302301299302303303302301300300299300302300302300302302298300300298299299298298299299299298300300298297296298297296297297299298298298297296296296295296295296296296295295296296296295295294294295295294295295295294294293293293293293293293293293294294294294294295295294294294295294294294293293293293293293293293293292292292292292292292292291291291291291292291291292291290290290290291290290290290289289289290290290290291291290291291291291291290290290290290290290290290290290290290290290290290290290290291291291291290290291291291291291291291291290290290290290290290290290290290291291291291291291291290291291291291291291291291291291291291291290291290290290290290290289289289288288288289289289289289289289289289290289290289289289290289289289289289288288288287288287287287287287287287287287287287288288288288288287287288288288288287287287287287287286286285285285285285286286288285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279283285286286285286288291292290289288288288290290291290286285285285283281281286293296297298298298298297999999999999999999999999999999999999293298299298299299298299300300300301300301300301300300299300299299299299299299299299299298298298298298298298298298299298297298298297295298299296296297298298298297297299298299297297298298298299299298298299299299298298299298300299299300297299298298300299299300300300301302298299297297298296297299300298299301301302304301301301299300301300298301301300300299300301302302303302302302301300301303301303304303302302302303304303303303304303304304304305305306306306305303304307305308306306306305306307308309308307307307309309309308308308309308309310309312311311309311309310311310310310311310310309309308309309309310308307309309309308308308307307308308308309309308309309310309311311311309310310308308308308308309309309307308308309309309309307307308309308309308308309308307308307306307307306306305306305305304303305305305304304304303303303303304304303303304303303302303304303302303302303302304305303302302302302301302301301300300300302303301300299300299301299299299299299298299298299299300298298299300300301301299298298299298297297297296297297297296296296297295296295295295295295295295295294294295295295294294293293293293294293293294293294295294295295295295295295294294294294294293293293293293293293293292292292292292292292292291291291291291292292292291291291290290290290291290290290289289289290290290290290290290291291291291291290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291291291291291290290290290290291291291291291291291291291291291291291291291291291291291291291291291290291290290290290290290290289289289288288288288289289289289289289289289289289290289289290289289289289289289289288288288288288287287287287287287287287287288288288288288288288288288288288288288287287287287287286287286285285285286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999282279283285287288287288289291292293291290288289289291291291288285283284283281282285290295297298298298298298298298999999999999999999999999999999999299299298298299299299299300300300300301300301300300302299299299297299300299297300298300301299300300299299299299299299299297298298298299299299296297297297297297298299298296295298298298298297297297298299299299299298298299298300300299299300300298297298298298300300300298301301301297299299299300298299299298300299300302302301302301299301301297300301299301300301301300300303302302302301300303303301302302302302301302301302302301302303303303305305306305305305305306304306308305305308306306307307308308308308309307309309310310310309309309308310310308310311312309311309310309310309311311310311309309310310308309309309307310309308309308308307308308309309309309310310309310308309311312311311309311309309310309309309310310310310309309308308308308308307308309308308308309307308307308308308307307306306305305305303304304304304305305303303303304305305305304304304303305304303305305303304303304303303304304302302302302302302301301300300301301301300300300301301299299302299299298298299299299298299299299300301299300299299298298298298295296297296296296296296296295295295295295295295294294295294294295295295295294294293293293293293294294294294294294294294295295295295295294294294294294294293293293293293293293292292292292292292292292292291291291292292292292291291291291291291290291290291290290290290290290291291290290290291291291291291291291291290290290290290290290290290290289289290290289290290290290291291291291291291291291291291291291291291291291290290290290291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290289290289289289289288288288288289289289289289289289289289289289290289289289290289289288289289289289288287287288288288288287287287287287287288288288288288288288288288287288288287287287286286286286286286286286286286286285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999999999999999999999999999999999999999999999999999999999299999999999287286285287285285286287288289290290291293293294293292290289290291290288286285282283284285287292295297297298298298298298298297999999999999999999999999999999298300299298298299299299299299299299300301300301299299299298299298299299298297297299299298297299300299298300300301301301300299297298298296297297296296297296295296297298298297297298298298298297297296297298298298298298298299299299299299299299299298299297296298299300298298300301300298296297297297296299300299298299301302300302301300301299299300300300297301301298301301300302301301301299302301301302303302303302302302303303301304303303302304303305306305305306304304304304306304305305304305305307307308307309306308309309309310310309308309309310311311310311311311310311311311311311312312310310310310309310309310308308309310308308308308308309309309309309310310309308309308310311311312313310311311310308311310310310310310310310307308309308308308306306310309309308308308308309308308308308307306305305306306305304304303304304305305305304305304305305305305303304304305305305305305305303304301302306304303303304304302302302302300299300301301300300300300301301299301299299300299299300299299300299299299299300300300300298297296297298298296295296297296296297295296295294294294295295296295295295295296295294295295293293293293293293293294294293293294294294295296296295295295295294294294293293293293293293292292292292292292292291292291291292292291292292292292292292291291291291291291290290291290290290290290290291291290290290291291291291291291291291291290290290290290290290289289289289290290289289290290290291291291291291291291291291290290291291291291291291291291291291291291291291291291291291291291291291291292291291291291291290290290290290290290289290290289289289289289289289289288288289289289288289289289289289289290290290290289289289289289289289288288288288288288288288288288288287288288288288288288288287288288288287288287287287287287286286286286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999999999999999999999999299299999999298295294294999301293289287287288288288288288288288288289290291292293293294294294293291290290289289287285286288288290292294296297297297297297297297297299297999999999999999999999999999999299300297294299299299298299300299299300300300299299299299298298299298298297298298298300300299300300300298301302302301301300299299298297297299299298295297296296297297297296298297297297297297296296296296297297297297297298298299299299298299298298298298297297299299300297298298298299296296296297297298299301300298299301299302302302300300300301301301301300299299299300302302300301302301301300301302303303302302302302302303302302302303303304304305306306305305304305303304304306304304305305305304307306307309309308309309307309310310310309310310310311311311310312311309310310309310311311311312311310310309310310309309308310309309309308307307309309309310310309310309309309309310311311310309309311312309311310312312312310311310310309307309310307307306307308309308306308309308308309309309309307307307306306306306306306304304305304305306305303303305305305305304305305306305305305306306306306304303305304303303304304302302302303302301301301300301300299300301299299299299299300299299299300299299300299298298299299299298299299297296296298297296296296295295296295295295295294295295295295295295296296296295295295295295294293293293293294294293293294293294295295296296296295295295294294294293293293293293292292292292292292292292292291291291292291292291292292292292292291291291291291291290290290290290290290290290291290290291291291291291291291291291291291291290290290290290290290289290290290290290290290290291291291291291291291291291291290290290291291291291291291291291292291291291291291291291291291291291291291292292291291291291291290290290290290290290290290290289289289289289289289289288289289289289288289289290290290290290290290290289289289289288289289288288288289289288288288288288288288288288288288288288288287288288289288288288287287287287286286286286287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300999999999999999999999294299999999293293291291290290289289289289289290290290290290290290290291292292294294294294295295293292290290289289289290291292293294295297297297297298298297297298298296298299999999999999999999999999296297299298298299298298299299300300299300299299299298298299298298296297297297298298300300300300300300300301302301302301301300299300300299299298299297298296296297296296297296297296296296297296295296296296296295296297298297297298298298298298298299298298298299299300300298298298300299298297297296296296298300300298299301302301300301302300299298301300300300300300299301302301301302302300301302301302302301302303301301304303304303303305303305305306306305305305304305305306304305303308305306305305305307308308309309310309309308310310310310310311310309309309309311309310311310311309309312311311311310310310310310310310309309306308309307308308308309310310310310310310310310309309310311311310310310310312310310310310310311310310309309310309310310310311310311311310309309309309310309308310307309307307307306307306307306306304305304305304305305304305304306306305305305305305305304306306306306306305304304303302302302302303303303303301302301301300301301300302299302299299298299300299298298299299301299298298298297298299298297298298298298298297297297297295296295295295295295294294294295295296296296295296296295295295294293293293293293293293293294294294295295295296296295295294294294293293292292292292292292291291292291292292291292292292292292292292292292292292292291291291292291291291291291292291291290290291291291291291291291291291291291291291291291291290290290290290290290290290290291291291290290291291291291291291291291291290290291291291291291291291291291291291292292292292291291292291291291291291291291291291291291291290290290290290290289289290290290290290289289289289289289289289289288288288288289289290289290290290290290290289289289288288288288288288289289289289289288288288288288288288288288288288288288288288288288288288288287287287287287287287286287286286287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298296999999999292296295306296293293291292292292292291290290290291291291291291292292291291292292293293295295295295295295295294291291291292293294295295296296296296297298298297297297297298298297298299999999999999999999999295297297298299299299299298298300299298298297298299298298298299298298300297298298298298299300299300300299301301301299300300301301301300300299298298299298299297297296297298297295297297297296296296297296296296296297297297297297297298298298298298298299298298299299299300301298300302302302299299299299300300299300299299299301302302301300300300301300300300301301301300301301301301301301301301300301302301303303301302302302303302304305304304304304305305304305306304304304303303303304304305305306306307306307308309307310307308309308308308308310308309309311311309310311311311310310311311311312310311311311310310311311311311310309309308308309309309310310311309310310310310311309310310310311310311310310311310310309311310310310311310308310311311311309309308308309307307310310310308308308309309306307307307307307307306307306306303304305305306306306305306305305305305305306305304305305304306303305305303304304305303303303302302302303303302301301300300301302302302299300299298298299300299299300302302300300298299298297297299296296296297297298297297297296296295295296296295295295294295295296296296296294294295295296295295294293293293293293293293293294295295296296296296296295295295295294293293293293293292292292292292292291292292291291292292292292293293292292292292292292292291291291291291291291291291291291291290291291291291291291291291291291291291291291291291290290290290291291291291291291291291291291291291291291291291290290290291291291291291291291291291291291291291291291291291292292292292292292291291291291292291291291290290290290290290290290290290290290290290290290289289288289288289288288288288288289290289290290290290290290289290290289288288289288289289289289289289289288289289289288288288288288288288288288288288288288288288288288288287287286286286286286286286286287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297295296299999999292293291291291292292293293294294293293292291292292292292292293293293293294293293294294296296296296296296296295295295294295295296296296297297297297297297297297297297298298298298298299299298999999999999294295297297298299299299297298299299299299299299298298297298298299300298297297297298298298298299297300297300300299297298299299300302301300299300299299298297298297296294294297297295295295297297297295296297296296295295296297297297297297297298299298298299299299299300299299300298299299302302302299296298297299299300298299299300301301301301301299300298299301302301302301300300301302300302300300300299300300303302302302302303304305304304305305305305305304303303306305305304303304304304305306305305305305305306306309308307310309309308310310309309309310309310309308309309309310311310312312312312312312311312311310311312311310310309308309310309311311311310311309309311311309310309310309309311311311309309309311310310310310308310309309309310311311312307309309307308308307308308309310308307310309307308307307307308308307305305305304304304305306306305305306305305306305306306303304304305305304303302303303304303304303302305302302304303302303302302300300301301301302302299301300300300301301298299301302302300301300297300297297297297297298298297297297297296296295296296296296296295296296294296295296296296295294295296295294294293293293294293293293294295295295296296297296296296295295295294294293293293293292292292291292292291291291291291291291292292293293293293292292292292292292292292291292291292292291291291290290290290291290290291291291291291291291291291291291291290290290291290291291291291291291291291291291291291291291291291291291291291291291291292291292291291291291291292291291292292292292292292291291291291291291291291290290290290290290290290290289290290291291290290290289289289289289288288288288289289289290290290290290289289289289288289288288288288289289289288289289288289289289288288288288288288288288288288288288288289288288288288288288287286286286286286286287287287286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294291291999999999293291292293293294294294294295295293293293293293293294294294294295295295295294295295296295296296296297296296296296296296296297297297297297297297297297297296298298298298298298297298299298299999999999293292295296297299298298298298299299298298297298298300299298300299299299296296299298296296296297299299297300300299298300298298300301299298298299299298297298298296295296296297297297295295297297298297298297297297295296296298297298298298298298297298297299299300299299299299299298298298299302301301299299297299299298298299301302301299299302301301299298300300301300300301300299302303303301302301302302302303303302302301302302304304304304304305305304304302302302304306305303304304305305303303304304306306306306305308307309306307307307309309308308309310310310309308310310311310311311311312312312312312311312311310311312311310309308309309311309310310311310309309309310311309309308308308310310309310310309309310309310310309309309310310310307308310309311309307308308308308308309310310309309308309308309308308308308307306305306306304304304304304306305306306305306306306307305304304304305305304302303301305304304304305303302302304304302302302301303301301301303303302302302301301303302300302300299302302300300300300301297297297296296297297297297297297297296295295295295296296297295296296295295296295295295295295294293295294295294294293293293293294295295295296297296296296296296295295294294294293293292293292292292291292291291291292291292292292292292293293293293293293293292292292291292292292291292292292292291291291291291291291291291292292292291292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291292292292292291291291291291292292292292292292292292292292292292292291291291291290290290290290290290290290289290289290290290290290289289289289289289289289289289289290290290290290290289289289289289289288289289289289288289289289289289289289288288288288288288288288288288288288288288288288288288288288287287287286286286286286287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293291999289293289290292293294295295296295295295295295295294294295295294296296296296296295295295295295295296297297297297297297296296296296297298298298298297297297297297297298298298298298298296297297297297298298999999292292295296297299297298298299299299297299298298299300299299296296296297296296296295296296297298299296296298298298300299299298299299300301302301300299297297297297297298297296296296295296295296297298298298298297297298297297298299299298298299297299299300300300299299299300299300300300302300300302302299299299301299300301301302302301301302299302300302301302301299299301302302303302302301302302300301302303303302300303303304304304303302303304304305304305304303303304305305306305305305306304303305305306306307308308308307306307309307306309309309309310310309310310310311311311311311312312312312311312312312312312312312311311310309310310311311311311311310309309309310310310308308308308309310309309309309310310309311309310308309309309308308307309310309310308309309309309309309309310310309309310310308308309308308308307306306306305305304306305305305305306306305305306307305303302304302303304302303303305305303302304303305304303303303303303302303302302302303301303302302302303302301303300303301303302300300300299300299298299300299298297297297296294295296295296295295295295296296295295295295297296296296295295294295295295294294294294294294294294295295295296297297297294296296296295294293293293292292292292291292291292291292292292292292292292293292293293293293293293293292292292292292292292292292292292292292292291292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291292292292292292292292292292292292292292292292292291291291291291291291291290290290290290290290290290290289289289289289289290290289289289289290290290290290290290290290290290290290289289289289289289289289289289289289289288289289289289288289288288288288288288287288288288288288288289288288287287287287287286286286286286287287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999302299300294291290289290291292293294295296297297297296296297296296296296296296296296296296297297296296295295296297296296296296296296296297296297297297298298298298297297297296297297297298298298298298298297297297297297298298999999292294296297298299297297298298300298298298297298297298299296297299297297299298297298297297298298298298299299299300300300301301300302301300301301301300299298298297298298298296296296295297296296297297298298299299299297297300300300299300299298298299299300301300299300300301301300299299303300300301300298299299301300300301301301302302299303302302299302300301301298299301302303303302301302302301301300303303302302302301302302303303304307305304303305304304303303304304305306305305306306305304305305306307306307308308307308308309307309309307308309309310311310310310311311311311308310312311311309310312311312312312313313312312311310311310310311310311310310311309309309308309308310307308309308308309310310310311311311310310308307308309308308310310309309310307309309310310309309308310310309310308308308308308307307307306306306306307307305306306307305304305306306306303305306305304303304305305305304304305304305304305303303304302303304304304303302302302302302302302302301302302302302302300299301301300298298300297299298297298297296298297297298295297294296296296296296296296296294294296294296296296295295295296295295296294296295293294296294294295294295296296296297297296295294295294294293292293293292292292292292292292292292292292292292292293293293292293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291292291291291292291291291291291291291291291291291291291291291291291291291291291291291291292292292292292292292292292292292292292292292292291291291291291291291291290290290290290290290290290290290290290289290289289289289289289289290290290290290290290290290290290290290289289289288288288288289288288288288288288288288288288288288288288288288287288288288288288288288288287288287287287287287287286286286286286287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299999297298296295292291291292292292295296297298298297298297297297297297297297297297297297297298298297296296295296297296296296296296296296297297298298298298299299298298297297296296297297297298298297298298298297297297297298298298999999292295295297299299297298298298300298298298298298297296298298295298297297296296295296297297296297299299299299298298298300300299299301301300301301301300300299298298297297297297296296296296296296297297299298298297298300297297299300300300299300298300299299300300300300302302302299298299299303300301301301297298299300300300300302302303303303303302302303301300301301302303301301301301300301303301301300301300300300300302303303303304304303304304304304303303302302304304304304305305305306305305305306306306306306306309309309308308309308310311309309309310310310310311311311311311311310311309309309310311311311311310311311312309310311312310310311312310310309310309308309309310309308308308310308308308308309310309311311310309308309310308308308309309310310310308308310307307309308307310308308310308308308308309307307308308308308306306305306306306306306306306307305304305306306307305305306304305306305305303303304303304303305304304303304305304302302301301303302302301301301302301301299302299301300300301298298300299300298299298297297299297295295295294296297297297296296295295296295293295295296296296295295294294296297295295295295294294293295295295295296296296296296296296295294294294294293293293293292292292292293292292292292293293293293293293293292293293293293293293293293293292293293293293292292293292292293293292292292293292293293292292292292292292292292292291291291292292291291292291291291291291291291291291291291291291292291291292292291291291291292292292292292292292292292292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290289289289289289289289289289290289290290290290290290290289289289289288288288289289289288289288288288288288288288289289288288288288288287288288288288287288288288288287287287287287287287287287286286287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297298299298296294293293293293295295296297298298298298299297297298298299299299298298298298297298298297297296297297297297296296296296296297298298298298298299299298298298297297297297297297298298298298298298297297296297297296297296295298293296296298298299298298299298297300298297297297297297298297297298299296296297296296296298295297298298297297297296300299299297298298300300300299301301301301301300298298298297298297297297297297298297298298299298299299299300300300297300300300300300299301301300301301302302302300301300300302302300298300298298300301301301300301302303302303305304302302302302301301301302301301302301301301301299300301300300300300302303303304304304302305304306304304303302303304304304305306305305304306306306306306307307306306307307307309309309309309310310310309308308309309308310311310309309308309310309309312312312311312311311310309309308310308308309310310310310311310310310310308309309309310309310308308308308309308308307311310309308309309309309309309309309311310310308310309307307308308310308308309309308307308310309307307309309309308306306307306307307307306306306305306305306305304305305306305305302305305302302305305302302302304302303302303304303302302302301302301301301302300301301301299301300301300300302300299298299298299299299298299298298298297299298297297297297296297295296295296296295295294295296295294295294295296294293296294294295294295295295295296297295296296296295295295294293293293293293293292293292292293292292292292293293293292292292292292292292293293292293293293293293293293293293293293293293293293293293293293293293293293292293292292292292292292292291291291291292292292292292292292291291292292291292292292292292292292292292292291291292292292291291292292292292292292291291291291291292292291291291291291291291291291290290290290290290290290290290290290290290290289289289289289289289289290290290290290289289290289290289289289289289289289289288288288288288288288288289289289289289288288288288288288288288288288288288288287288287287287287287287286287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301300298296298299296295294294295294294295296297297297299299298298299299298298299299300299299298298298297297298297297298298297296295296297297298298298298298299299299299298298297297297297297297297297298298298298298297296296297297297297300297295296297297298299298300299298299297299299297297296296297295297299297297298298298296297296296297298297299298298298298299299299299299299300301300300300300300300301301300299298298298297298297298298299299300299299300301300301301300300299298301301301301301301301301301301301301300301301303302301302302300301300300300302302302301302301302303302302302304302302302302301301302301302301302300300299299303300301299300299303301302302302302303303303303302304304302304303304303306304304305305304305307307305305305304306308306308308307307307307308308308309310310310311309310311310311310310311311312311311312311311311311311310310311308310309309310310310311309309310311310309310309308309310309307308306308310309309309307309308309307308309309310310308310309310310309310308309309308308307308310310310310309309311310310309309308309309308306307306308306307307306306307307306305304306306305305306306305304304305301303305304303302302303302302303302304302301302302301301302301302301301301300303301299299300300299301300299299299299297298299298297297296296297297299297297293295293294293294296296296296295295296296295294295295295293295296296295294295295294296295296296296296296296296294295294294294293293293292293292293292292292293293293293293293293293293293292293293293293293292292293293293293293293293293293294293293293294294293293293293293293293292292292292292292291291291291291291291291291291291291291292291291292291291291291291291291291291291291292292292292292291291291291291292292292292292291291291291291291291291291291291291291291291291290290290290290290290290290290291290290290290290290289289289289290290290290290290290290289289289289289289290289289289288289289289289289289289289289289289289289288288289288288288288288287288288288288288288288288287288287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999999304302999999301302301300297300299300299296295295294295295296296296296297298298298299300300299297298299299300301300299298298298298297298298298298298297296296297297297298298298298299299299298298298297297296296297297297296296297298297297297297297296295298298297297297295296297297299298299300298299298297297297297297296297297296299298296296295299298297296296296297298297298298297297298297299299299297298300300300300300299300301300301302300298297296297296297297297298298300299299300300300300301301302301299299298302302299298301303301301300300300301299301301303303302299300300300301302301302302301303300300299302302303303301301303303300301301301300302301300301301303302301301301302302301301302304305304304304303303303305303302304303304305304304305306305305306305305305305304305306306307306308308308309309310310310310310311311310311311310310311311311310310311311312311311311311310310311311310309309310310311310310310309311311310310309309309310309310309310308308309310308307308308307309308307310308309309310310309309309309308308308309309308308310310310310308308309310309309308308309308308307307306307308308308308307306306307306305304305305305304305306304303303304305304302302302301304303304303303303303303302303301301302300300301301300301300300301301300300301299302299300299299299299300299298296296296296296297297297297296295294294292294295296295296296296296295295296295295294295295294295294296294297296295296295295295295295295295295294295295294294293293292292292292292292293293293294294294293293292293293293293293293293293293293293293293293293293294293293293293293293293293293293293293293292293292292292291291291291291291291291291291291291292292292292292292292292291291291291291291291291291292291292292292292291291291292292292292292292292291292291292292291291291291291291291291291291291291290290290290290291290291290291291290290290290290290290289290290290290290289290290290290290290289289289290290290289289289289289290290290290289289290290290289289289289289289289288288288288288288287287288288288288288287287287287287287287287287286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999307302999305999999999999999999308999999999999999999999999999999999999999999999999999999999999999297298301301297297299300298298999297298297297296295294294295295296296296297298298299299299299299299299298298299300300300300299298298298297297297298298298296297297296297298298298298298298298298298298299298297297296296297297296296296296297297297296296296296296296296296296296296297297298299298299299299298299298297296296297297297297296297298298296297299299297297296298296297295296297296295297298299298298299299299300299299300299300301300301300299298298297299299297297298298299299301301302300301301301301300301300300301301302300301301300301301301300299301301301300301301300299303301300301301302301302301301301301301300301301300300300300302299300300298299300300301301302302301299301301301303300302303303303303304304305303303305302301305303304305304304305307306305306307306306306306306306308308308309308309307307310310308309308308310310310311311310311311309308308308310311310310310311310309308310310308309308310311311310310310310311311310309309309309309310310310308309310310307306306307308309309310309309309308309309308309308308309308309309309309309310310310310308308309308307308308308308307307307306306306308308309308307307306308304305303306307304303304305303303304303305305303302301301303305302301303303303303302303301302303303300300301299302302301300301300300301301300300300299299300299299298299297296296296296297297296298295295294294296296293293296295295296296295295295292294293295293295294295294295295295293294296295295295295294294295293294295295293293293292292292292292292293293293294293293293292293292293293293293293293293293293293293293293294294294293294293293293293293293293293293292292292292292292292292292291291291291291291291291292292292292292292292292292292291291291292291291291292292292292292292292292292292292292292292292292292291291291292291291291291291291291291291291291291291291291290290291291291291290290291290290290290290290290290290290290290290290290290290290290290290289289289290290290290290289289290290290290290290290290290290289290289289289288289288288288288288288288288288288288288288288288287287287287287287287286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304301303304304305305305307308999999999999309999999999999999999999999999999999999999999999999999999999298298298296298297296297298298299298297296296295295295294294294295296296297298298299299299299298298298299299298299299300300300299298298298298297298299298298297297297297298298298298298298298298298298298298297297297297297297297297297296296297297296295294296296296296296295296296296296297298299299299299298299299298297297297297297297297298297298298299297297297297297297297297297296296297296295295298298297299298298299299299300300300300300300299301300299299300300300300297297298299300300301302302301302302300300302301301301301301302301301302303303301301302302299301300298300302302302301302301300300303303301301299300300301300300300301302300301301301300297300299301300300300299301300300300301301300302302302302302304304303305303303303302303304303303305305305305306305307307305306306304307306305307307307306307306308307308309309309308309310310310311311312311311310309310310309309309311309308309310309309310308310310311311310309310310310310309309310310310309310310309308308309309308307307308308310309308308308308308309309309308309309309309308309309309309310309309309309309310309309308308309307307307307306307306308308308308304304305306305305305306306305303303305306304304303303304303302302303305303304303304303303303302302302302302301302302302299302301301301301300302301301301301300299299299299299299299298296298298297297297295297295295294295295293294296295295295295295295294294292293295295295293296296295293293295296294294295294294295293295294293293293294294293293293292291292292292292293293293293293293293293293293293293293293293293293293293294293293293293294294293293293293293293293293293293292292293292292292292292292292292292291292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292291291291291291291291291292292291291291291291292291292291291291291291291290291291291290290290290289290290290290290290290290290289290290290290290290290289289290290290290290290290290290291290290290290290290290290290290290289289289289289289289289288289288288288288288288288288288288288287287287287287286286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303302302304305303303303304305305306999999307308307306303305999999999999999999999999999999999297297299295294295295295295296295297298297298298298298296296296296295297294295295295296296297297298298299299299298298299299298298299299299301300300299298298298298298298298298297297297297298298298298297298298298297297298297297297297296297297297297297296296297297296295295295295296296297297296295296297298300299299299299299300299298297298297297297298298297297299298298300297297296297299298297298298296296297296296298296297297297298299299300299300301300301301301302299300299300301300301301298299300300300300301302302301302301302302302302302302302302302301301301303301303302300301301301302301301301301302301303300301301302300302301301301301301300301302301300300301301300297299299299300299298300300300300300301299300301299302302301302303304304303303302302303303301303304304304303306305305306306305305306306305306306306308308308308308309309309309309309310311310311310310310311311310311307307309309309308308308308309308308309307310310311311310310309309309309308309309309309309309309308307308308309308307307307307308306307308308308309308309309309308308308309308309309308308309309309308307307309308308309309308308307307307306306306306308307307306305305306306305305305306306305306303302303303303305304303301301302304304304304303303303303303302302301302302302303302300301302301302302301301301300300301300301299299299298298297297297296296296296296294296294294293292292293294296295295294295295292292294294294295294294294295294295293294293295295294294295294295294292294292293294295293293293293293292293293293293293293293294293293293293293293293292293293293293293294293294293293293293293294293293293293293293293293293293292293293293292292292292292292292291291292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291290291291291291291291292292292291291291292292292291291291291291291291291291291290290290290290290290289289289290290290290290290291290291291290290290290290291291291290291291291291291290290290290290290290289290290289289289289289289289289289289289289288288288288288288288288288288287287287286286286286286287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310309301301302303305304304303304304304305307309308308308308309305302999999999999999999999999301300297295294295295295293293293294294294294295296296296296296296295295296297295294294295295296296296297297298300299299299298299299299299299299300301301300299298298298298298298297297297297297297298299299298298298298297297297297297296297297297297297297297296296296297297297296296296296296297297297297298297299299299299299299299298299298299297297296297298298298298297297298300298297297295297299298297297298296294295295296297299296298298299298299299300300300300301301301300301300301301301300299298298301301300301300300301301302302301300301302302302302302301302301302301302299301302302300300300300302301301301301301301300301300301301302302301301300300298300300299300301301298300298298298299299298300301300300300300301302302300300302302302302303304303303303302302303304302302302303304305306304306305306305306306306306306305306308307307308308309309309309309310310310310310310309309309309309311310308309309307308308308308307308308308309307310310310310309310309309308308308309309309309309308307307308308309308309308307307307307307307306307308309308308309309308308308308308309309308310308309307308308308308308309308308308307308309306308307306307307306306305305306306304304305305305304305304304304304304305304305305302302305303303301301303303304304304303302302301301301302302302300301301302301302300299301299300300300299298298297297297296296296295295295295294293296294293293292293294293294293294294293293295293294296295293292295294294295295293293293295295293295296294293292292294296293294293293293293293294294294293293293293294294293293293293293293293293293294294293294294294294294294294293293293293293293293293293293293293293293293293292292292292292292292292291292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291290290290290291290291291291292292292292291292292292292292291291291291291291291291290290290290290289289289289289290290290290290289290290290291290290290290290291291291291291291291291291290291290290290290290289290289289289289289289289289289289289289289289288288288288288288288288288286287286286286286287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301302303301302303303304304304304304305306307307308309309310307303999999999999999999999999302300297295295295295294294293293292293293293293293294295295296296295295295295294294294294295296295296296297297298299300300300300300299299299299300301301301301300299299299299298297297296296297297298298298298298297298297297296297296297297296296297297297297297297296297296296296296296296295297297298298298299299298299299300300300299298299297297299299297298299297299298299299300298298296296296296299299296295297297295295297297299298298298298299299299300301301301301301302301300301301301301301300300300300300300300301300300301302301301301300301301301301301300300301301300301301300302301301301301299301303302300299301302301301302301300303301302302300300301300300299300300301300299299299298298300298299300299301298300300300300301303301302302302302303303303303303303303303303303302303303303304304305306307306305305306305306307307308308307308307307309308310310310310310310310309310310309310309308308308308309308307307306308308308309306307309310309309310310310310309308308310308309309308309309309308308306308307307308307307307307307307307306307307308307308308308309309307307307308308309308308309307308309308307308308307307307306307306307307307308308308305306305307307307307306306305304305306305303304304305305303302302302301305305302304303302303303304304303303303303302301301302302302300302300301302301300300301301301299300299298296298298297297296295296297295295295293294293292292292293293293295295294294294295293296295293293294294294294294295293293295295296294295294294295296293294296295294294294294294294294294293293293294294294294294294293293294294293293293294294294293294294294294294293293293293293294293293293293293293293293293292292292292292292291291291291291292292292292292292292292292292292292292292292292292292292292292292292292291291291292292292292292292291291291290290290290290290290291291291291291291292291292292292292292292291291291291291291291291291290290290289290290289289290290290290289290290290291291290290290290290291291291291291291291291291291291291290290290290290290289289289289289289289289289289289289288289288288288288288288288288287286286286286286286287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304302301301301303303304304305303303305306306307309309310309308999999999999999999999304999300297297295295294294294294292291291292292293293293293295295295296296297296294294293293294296296296296297297297299299300300300300299299299299300301301302301302300299300299298298297296297297297298298298298298298297297297297296297296296297297296296296297297297297297297296296296296296296297297298298298299298299299299299299300300299299298297297298299299300300299298298298299299297297296296297297298298297297297297296296297298297298297298298299299299300301301302301302301302302301301302302300300301300301299300301301302302302302302302300300301301300300300300300301301301301302299301301303302302303301301301301301301301301302302301300302302301301300300300301301300301300301301301300299299300301300300300299300300299299300301302300302302302302303303303302303303301303302303301302302303305305304305305305305304304305306307307306306306307307307308308309309309308310308309308309309309308308308308308307308309308308308306308309308306307307308309310309310310310310309308309310310309309309309308308308308307307308307308307307308306306306308307307307307308308308308309308308307306306308308308308307307307307308306308308307308307307307305307307307306307309307307306306306306306306305306303305306305304303305305306306306305304303305306304303301303304304304304304303303305303302302303303302300301301301301301302302301301302301300299299299297298297296295295297297296295293295293293293292293294293295295294294294294294296296296295294295295293295294295295295295293294294293295294294295295296294294294294294294294294294294294293293294294295295294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293292292292292292292292291291292292291292292292292292292292292293292292292293292292292292292292292292292292292291291292292292292292292292291291290290290290290290290290290290290291291291291292292292292292292292292291291291291291291292291290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291291290290290290290290289289289289289289289289288288288288288288288288288288288287287287287287286286286286286286287286287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301300298299301302303303304304304303304305305307308310310310308999999999999999999999999300299298296295294294294294293292290291293294295295295296297297298298298298297295295294295296297298297298298298299299299300300300300300299300300301301302302302302301300299299298296295296296297297298298298298298298297298297297296297296297296296296296296296297296297297297296296296297297298297298298298297300298299298299299299300299299297298297296298299300300301299298298297298297298296296297296297297296295298295297297296297297297298298298298297298300301300301302302301302302302301301300301301301300301300300301300301301300301300300301301301300301300300299299301301300301301302300299300300301301301301301300301301300302302302300301301302302302300301300301301301301301301300300299301300299299300299300300299299301300300300301301302303302302303303302303302303302301303302302303305304304305305304305305306306306306306306306307305307307307307308306309309309309309308309309309309309309308307308308308309308308309308307307308308308307308307307307309309310310310310310309310311310310309309309307308308308307307307307308306307306308305306307307308307307307307307307308307307307306306306307307309308307307308308308306307305306306306307308307306307306308307306306307306305306305304304305305306306306305304304303305305304305306306304303302303304304304304304303304304303303302302304302302303301302300301300301301301301300299300300299299297297297297295296295297297296296294295294292295293294295294295295292295294293296295295295295295294295295295295296296295296295296294293293294296296295296297294294294294295295294295295294294294295295295295295294295294295294294294294294294294294295294294294294294294294294294294294293293293293293293292292292292292292292292291291291292292292292292292292292292293293293293293292293292292292292292292292292292291291291292292292292292291291291291291290290290290290290290290290290291291291291292292292292292292292291291291291291291291291291290290290290290290289290290290290289290290291290290290290290290290291291291291291291291291290291290290290290290290289289289289289289289288288288288288288288288288288287287288288288287287287287286286286286286286287286287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999304303303303300299300300301302302302303304304303303305306306306308309309308999999999999999302305303300298297296295294293293292291290290293295295295297297299299300300300299298297296297297298299299299299299299299300300300300300300300300300300301301302302302302302301301300299298297297297297297297297298299299298297298298297297297296296296297296296297297296296296296296296296296297297297297298299299297300299297299298299299299300299298297297296296298299299300299298299300299301300300300300298296297297297297297297297297297298297299299299300300300300300300300301302301301302302302301301302302300299300301300301301301300300301301301301302302301300299299300301301301300300301301301301299299299301301300301300301301301301301302303301300301300301301301301301301301302301301301301299300300300299299299300300300299300300299300300300301302302302303302302303303304302302302303303303303305303304305306304305307306306307307307306307307306306308307308307308308309308309308309309309309308308309307308307309308309308308308305306306307306307307307307307307309310309309309309309309310310310308308309308308308308308308308307307308308307307308307307307307308307307306306307307307307306307307307306307308308309308308308308307306305306307307306306307307307307306307307307306308307307307306306306306305306304305306305303305303304304303304303304302304305304304304304304304302302303303303302302302301302303302301301302301302300301300301301300298298297298297297295295296296294295295294294293294292293293293293294295292293293294294292294294294295294294295295295295294293294293294294294294294295292294295295295295294294295295294294295294294294295295295295295295295295295295294294295295295294295295294294294294294294294294294294293294293293293293292292292292292292292292292292292292292291292291292292292292292292293293292292292293292292292292292292292292291291291291291292292292291292291291291290290290290290290290290290290290290290291291291291292292292292292292291291291291291291291290289289290289289289289289290289289289290289289289289289290290290290291291291291291291291291291291291290290290290290289289289289289289288288288288288287288288288287288288287288287287287287287286286286286286286287286286287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305304306303304306300301300301302302302303303303304304304304304305306307309309309308999999999999999301303302301297296295294292292292292291289292294295296297298298299299300300301300300299298299300300300301300300300300299299300300300300300300299300300300300302302302302302301301300298298298298297294295296297298298298298298297298297297297297297296297297297297297297296296296296296296296296297297297297297298298299299298298298299299298300298299298295295297298298299300302298300299299298299299300298299297298297297298298297297297298297298297298299301300300300301300300301301300302301302302302302302302302301301301300301300300300300301301301301301301300299299299300300301300300300300300300301300299299300300300302302299300300301302302302301301300299301302301300302301301302301301302301300301301301301300300300300300300300300299299300302301301302302302303303303302303301302303302304303303303304305303305305305305304304306306307307307309307307308308308307307307307307308309310310308309309308308308309308309306309307308308308308306307307306307307307307308308309308308308309309309309311309309309308307306307308308307309309307308306307308307307308306307306308308306306305306306306306307307307306307307307307307307308307307307307306305305306306306306305307306305306306306307306306305305306305305306306306303306306306305305304305305305305304304305304304304303304304303303303303303303302303303303302302302302302302303302301301302301301301298298298296296296296296296296296293295295295295295295294295295294295296295294294292294294294295294294294294294295295295294294295294294294295293295296294295295295293295295295295295295294294294294294295295295295295295295295295295295294295295295295295295294294294294294294294294294293293293293293293293292292292293293293292292292292292292292292292292292292292292292292293292292292292292292292292292292292292291291291291291291291291291291291291290290290290289289290289289290290290290290290289290290291291291292292292291291291291291291291291290290289290290289289290290290289289289289289289289289289289290290290290291291291291291291291291291291290290290290290290289289289289289288288288288287287287287287288287287287287287287287287287286286286286286286286286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303307306304304303301299300300302302302303302302303303304303304304304304306307307309310309306999999999999999999303302298296295293292292292292290290293295296298298299299300300299300300301301299300300301301301300300300301300300300300300300300300300300300299300301301302301301300300299297298297297296295297297296297297298297297297297297297297297297296296297297297297296296296296295296296296296296296296296296297297300297299297297298299299298300298298297296295295297298301300298299298299299300299299299299300300299300298297298299299299298297299298299300300299300300300299300301301302300302301301301301300301302302302301301301300300300302301300301300300300300300300300301301301301300301300300300302301301301302301300301301298300300302301301301301302302299301299301301301302301301302301301302302302300300300301300300300300300300299299299300300301301300301302303303301303304303303303303303303304304304304304306305303304305305306307306307307307306307308306307307307307307306308308310307308309308308308307307308308306306307306306308307306306307307307306307307307308308308308308308308309309310310310309308307308307307308308308308306306307306307306307307307307307307307306307307307307306306306307308308307306306306307307307308307306306305307305304304303305306307306306305306306306306305305305306304305305306306305305306306305305303304304304303303303304304303304303303302302302303300303301301302302303301301300300301300302301300300300299299299297297297297296295296297296295296293295295295295295296296294294294295295295295296294293294293293294294294294294295294294294294294293292295294292294294295295293294294295295295295295295295294295294294295295296296295295295295295295295295295295294295295295295294294294294294294294293293293293293293293293292292293292292292292292292292292292291291292292292291292292292292292292292292292292292292292292292291291291291291291291291291291291291291291290290290289289290290290290289289290290290290290290290291291291292292292291292291291291291291291290290290290290290290290289290289289289289289289289290290290290290290290291291291291291291291291291291291290290290290289289289289289289289288288288288287287288288288288288288288288288288287287286286286287286286286286286286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310308307305304303302300301302303302302300302302304304304304305305303303305307307309310310311999999999999999299304301297295294293292291291292291292294295296298299300300300300300300300300301300300300301301301301302300301301301301301301300300300300300300299300300301302301301300300299298298297297296295297297296296297298298298297296296296296296296296296295295295295296296295295295295296296295295296296296296297297298299298297297297298298299297299297297298297296297298299300298300299298298298297299297300299299298298298297297296297297297297297299300299300299299300300298300300300301301301301301301301301302301300301301300301301301302301300300300300299299300300300301301302302302301301300300301301301300300299299300300301300299299301301301299302302303301301300300301301301301302301300301301301300301301301301300301300300300300299300299299301301301301301302302302304304302304303304303304303303305305305305305305305305305306306307307307307308307307309308308309308308307307307307308308307309307307306307307308308306306308307307305306307307308308308307306305307307308307307307307307307308309309308308309308309308307308307308307308308307306307307307307306307308308307307306307306306307306307306306305307306307307306307307306306306305307305305304305304305305307305306306304306306306306304305305304305305305305305305305305305304302303304303303303303304304302302303302304303303302303301302302302303304304301302302301302301301301300301300300299298298299296296295295298297294295295296295296293295296296296295293294294295295295294292292294294293294294294294295294295294294294294294294294294294295295293295293295295295295295295295294294294294294295296296296295295295295295295295295295295295295295295294294294294293293293293293293293293293293292293292292293292292292292292292292292292291292292292292292292292292292292292292292292292292292292292292291291291291290290290291291291291291291291290290290290290290290290290289290290290290290290290291290291291291292292292292291291291291291291290290290290289289289290289290289290290289289289289290290290290290290290291291291291291291291291291291290290290290290289289289289289288288288288288287287287287287287287287287287287287287287286286286286286286286286286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312311308306305303303302302302303303303302301301303304305304305304305304304304306308308309310311999999999999999999999298295293292292291291291291290292294296297298299300301300300300301301301302301301301301300300299301301301301300300300300301300300300300299300300300301301301301300299299298298297297296295295296296296296297298297297296296296296296296296296295295295295295295294295295295295296296295296296296296294296298298297297297296296299297298299300298298297296296297301302300299298298300297297297297298300297298299297298298298297297296298299299299299298298299298298299299299300300299300300300301301301301301300300299299300300300299299299300300300300300301300301301301302302301301301300301301301300300301301300299300300300299300300301301301301302302301302301300301301301301301302302301301301301301302301301300301300301300301300301300301301300300301300301302303302303303304304304305304304303305304305305305304303304306305307306306307307307308308308307309308308308306307307307307307307307307308307306308307308307307308307307305306307307307308307307308307307307307307307307307308307308309308308308308308308309308308308307306308308307307306307307307307307308308307307307307307307306308307307307306306306307306305307306306305306306306306305306306305304305306306305305304304305305305305304304302305305304305306304304304303303302303303303302303304303304302302303304303303303303304302303302302302303303303302302302302300301301300300300299298298298298297297297297297296294295294294296295295294296295296295293294294293295293293292294293294294294295295295294294294295295295295293293295294294292294294294294295295295296295295295294295294295295295295296295296296296295295295295295295295295295295295294294294294294294293293293293293293293293293292293293293293292292292292292292292292292292292292292291292292292292292292292292292292292292292292292291291291290290290290290290291291291291291290290290290290290290290289289290290289290290290291291291291291291292292292292291291291291291290290290290290290289290289289289289290290289289289289289289289290290290291290291290290290291291291290290290290290289289289289289289289288288288287287288288287287287287287287287287287287287287286286286286286286285285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308306305304304304304303302302302302302302302303304305304305305304305304305306307309309310311312306999999999999999295294292291291290290290289290293295297298300300301301300301302302302302302302301301301300303303302301301301301300301300300301300300299299299300300301301301301300300299298298297297296296296297296297297297297298297296296296296296296295295295295295295295295295295295295295295295295296296296296296296297298297296297296298297297297298299298296295293297298300301301298296296299298297297298296297297298298298298297298298298299299299299298298298299299298299298298299300301301301301300299301301299300300300301300300300300298298298299300301300300300301300300301302302302301301300301299299300301300300299300300299299300301301301301300300300301301301300300301300301301301301302301301302302301301302302302302301300300301302302301302301301301300300302302302302302303302303303303302303304303302303304304305304305306306306306307307307307308308308307307306308307307307307307306306306307306307308308307307307306307307307306306308308308307308307307307306307307308308307307307308307307308307308308308308307307307307307305306306306308307306308308307307308306306306306305305308308307307306305306306305305306305306304304305306305306305305306305306304304304306306305305305304304305304304304305305305305305306305305304304304303303303302302303303301302303301302302303303302303304303303304302303303302302302303300301301300300300300300298299298298298297296296295296296296296295296296297296294294294294295295295294294294296295294294294293293293294295294294294294295295295295294296293296295295294292294294294294295295295295295295294294295295296296296295295296296296295295295295295295295295296295294294294294294294294293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291290290290291291291291291291291291290290290290290290290290290290290290290290290291291291291291291291292292292291291291291291290289289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290289289289289289289289288288288288287287287287287287287287287287287287287287287287287286286286287286286285285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307306305304304305305304303302302302302302303303304304305306304305304303305307308310311311310310999999999999999296295293291288289289289290290293294298298299300301301300300301301302302302301301301301301302302301301301301301301301300301300300300299299300300300300301301301301300300299298298298297297297298298298298298298296298298297296296296296296296295295295295295295295295295294295295295295295295296296296296296299299298299297297298297298298297296297296294296296299301301301300296296298296297296298298299299299299299298299298298298298298298299297297297298299298299299299299300300299301301301300300300299299300301300300301300298299299300301300300301300300300300300300301302302302302301300301300301300300301300300300298300300300300299300299299299299299301299300300300300300301301302300301302301301302301301300300301299301301301301301299300301300300302301301302301302304304304303303303305305304304304305304305304304306306306307306306307307308308308308306305307305306306306307306306308307306305308307306306306307307307306306306307307308308308307307307307306306307307306306306307307307307307308307307307307307306306306305306306307307307307308308307307308305306306306307306307307308305305305305305305304305306304304304304304305304304305305304304304304303305306305305306304305305304305305304306305304305305305304302304303303304302302302303302301302302302302301302303301303303303303303301303303302302301302300301301300299299299300299298297297298297297296296297295295295295296296295296294294294294295294294294295296296295295293292293293293294294295295295295295295294296294294294296295295295295295294293295295295295295295295294295295295296296296296296296296295295295295295295295295295296295294294294293294294294293293293293293293293293293293293293293293293293293292293293293292292292292292292292292292292292292292292292292292292292292292292291291291291290290290291291291291291291291291291290290290291291290290290290290290290290290290290291291291291291291291291291291291291290290289289289289289288288288289289289289289289289289289289289290290290290290290290290290290290290290290290290290289289289289289289289288288288287287287287287287287287287287287287287287288287288287287286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307307306305304305305305304304304303303303303303304305304305305304305305305307308309310311310307307306304999298299297297296292288288289289291291294298297298299300299300300300301301301301301302301300301301301301301301301301300300301300300300300299299300300300299300301301301301300299299298298298298298299298298298298297297298298297297296296295295296296296295295295295295295295295295295295295296295296296296296297297296297298299298298298298298297296296296296295297298299299299298298299298298300298298298298298297297298299299297299297297297299299297297298297297298299299299299299299300299300301301299300300301300299299300300300300298297299299301300299299299300300300300299301302302302302301301300301301301301301299299300300300300300300299300300299299300300299299299300300302300302301301301301301301301301300301301300301300301301301300301301301302301301301301302303302301302303303302304304304305304303304304304305303305304305306306306307306307306307308307307306306307306307306305305305306306306306308305305306306307307306307306307306308308308308307308308307306307307307307306306307305308308308308307307307307307307306305306306305306306307308308308306308308307307304307306306307306306305304304304304305305304304304303304303304304304304304305304303303303304304305303304305306306306305305304304305305304305305305302303304303303304302302302302302302301301302301301302302303303303302303303300301302302302302302302301299300300299299299299298298298297298297297297297296294295295296295295293295293295294295296294294294295295295294293293295295294294294293293293293295295295295296295294295296295296295293295294293295295294295295295295296296296296297296296296296296296295295296295295295295295296295294294294294294294294294294294294294293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291292292291291291291290291290290290290290290290290290290290290290290291291291291291291291291291290290290289288288288289289288288289289289289289289289289289290289290290290290290290290290290290290290290290290290290290289289289289289289289288288288288287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311309307307307306305304304305305305304304303303304304304305305304304304306307306306309311311312312311310308307305306301301300299295290287287288289291291295298297299299300300300300300300300301300301301300300300300301301302301301301300300300299299301300299299299299299300299300300301300300299298297298298298298298298297297296296296298298297295296295295295295295295295295295295294294294294295295295295295295295295295295297296296296297299296297298298298297296296295296296297297298297298299299298297298297297299298296297299297298299299299299297297297298298298298298298299299300300299297299300298300300301302300300301300299298298299298298299297297299299299298299299299300300301300300301301302302301301301300301302301301300299300300300300300301300299298298298299300298300300300300300300302301302301301301302302302301302302301302302301301302302302301302302300301301301302302303303303302303302303304304304303303302302305305304303304305304305306306307305306306306306307306306305304306306306304306305306306307307306306306306306306305307307308308306308308308308308307307307306306306307306306306307306308308308308307307308307308307306305306306305307307306308306308308308307306307306305306306305306306306304304304305304304304303303303304304304303304304304305304303303302303304305303304305306305305304304304304304304304304304304304304304303304302302303303303302302301301301301301301301302303302303302301301301302303302302302302301301299298299300300299299297300298297297297297297297296297296295295295295295297295296296294295294295295296295296295294294296295293294294294294294293293295295295295294296296296296294295296295295294294295295296296296296296296297296296296296296296296295295295295295295295295295295294294294294294294294294294294294293294293293293293293293293293293293293292293293293293293292292292292292292292292292292292292292292292292292291291291291291291291291290290290291291292291291291291291291291291291290290290290290290290290290290290290291291291291292291291291291291291290290289289289288289289289289289289289289289290290290290290290290290290290290290290290290290290290290290290290289289289289289289288288288288287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313311309307307307305305305305305305304304304304304304304305305304304304305306307307308310312313313311310309310309304304300300299300999289288285286289290291296299298300300300300300300300300299300301301300300301301302302301301301301301300301300299299301298298299299300299299299300301301301300299298298299299297297297297297297296296296296297295295295295295295294294294294294294294294294294294295295295295295295295295295296296296296296296297298298296297296296295295295296297297298298298297298298299297298297295298297298298297296297298299299300297297297298299297297298298299299299299298299299299299300300300299299299300300299298297299299299299298299299299300300299299299298299300299300300301301301301300300300300300301300300300300300300300300300299299299298299299299300300300301301301301301301302301302302302302302301302302302302302302302302302301301301301301301301301302302302303302302303303303303303304304303303303303304303304303304304304305306306306305305305305305305305307305307307307307307305305306306306306306306306306306305306306307307307307307307307306307307307307307306306306307306306307307308308308308308307307307307307306306306306307306305306307307306306305306305304305305305305305305305305305304304305304304303304304305305305304304305305305305305305305304304304304305305305305305304305303304304305305305305305304303303304303302303303302303302302302302302301301301301302302301302302302302302302302301301301301301300300300299299299299299298298297297297297297297296296296295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294295296295296296296296296296296296296296295295295295295295295295295295295295295294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293292292293292292292292292292292292292292292292292292291291291291291291291291291291291291291291292292292291291291291291291291291291291290290290290290290291291291291291291291291291291291290290290289289289289289289289289289289289289289289290289290289289289290290290290290290290290289290290290290290290289289289289289289288288288288288287287287287287287287287287287287287287287288287287288288288287287287287286286286286286287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999315315314312310308308307307307306306305305305305306306306305305305305304305305307308308308309310311313311312999999999308999999999999999999999999999283286287288292296300300300300299299299299299299299299301300300301301301301301302302301301301300301300301299299299299299299300300299299300300301301300300298299299298297297297298297298296297296297296296296295295294294295293294295295295295294294295295295295295295295295296296296296297297297297297297297298295296296296295294294295296298297297297297297297298298298298297296297298298297297298299298299299297296297298296297297298298299300300300299298299299299300300299299299299299299298298297298298298298298298298298300300299298298298299299299300300300300300300300300300300300300300300300300300300300300300299299299299298298299299300300301301301301301301301302302302302302302302302302302302302302302302301301302301301301301301301302302302302302302302302303302303302302302302303303303304303303303304305305305305306305305305304304304307306305306307307307305305306305305306306306306306306306305305306307307307307307306307306307307307306306307307306306306306306307308308308308308308308307307307306306306306306306305306306306306306305306305305305305304304305305305305305304304303303304304304304305304304305304305304305305305304304304304304304305305305304304304305304304304304304304305304304304304304304303303303302303303302301301301302301301302302302302301302302302302302302301301301301300300300300299299299299298298298297297297297296296296296295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294295295295296296296297296296296296296296296296296296295295295295295295295295295295295295294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292291291291291291291291291291291291291291292292292292291292291291291291291291291290290290290290290291290290291291291291291291291290290290289289289288289289289289289289289289290290290289289290290290290290290290290290290290290290290290290290290289289289289289289288288288288287287287287287287287287287287287287287287287287287287287288288288287286286286286286286286286286287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999316314314313310308308307307307306306306305305305306307307306306306305305305306305307308309309309309999999310999999999999999999999999999999999999999999999286290288292297301302299300299300299300300300300300301301301301300300300301301301301301300300300300300300300300299299299299299300299299300300301300300299298298297298298297298298298297296297296296295295295295294293294294294295294294295295295295295295295295294295295296296297297297298298297298298299297297297296295295295294294296299298298298298297298298298299298298298297298298298298298300299299299297297297297298298299299298300299300300299299299298298299299299299299299298298298298297299298299298298298298299298299299298298298298298299299300300299300300300299299301301300300300300301300300300300300299299300300299298299299300300301301301301301301301302302302302301302302302301302302300302302302302302301302301301301301302302302302302303302302302301302303301302301302302303303302302302302303304305305305305305304304305305305305305306305305305305305305306305306306306306306306306306305306306306307307307307307306307306307307307307306306306306306306306307307307307307307307307307307306306306306306305305305306305306306306305305305305305305304304304304304305305304303304303304304304305305304304305305305305305305305305304304304304304304304304303304304304304304304304304304304304304304304304304303303303303302302302302302301301301301302302302302301302301301302302301301300300300300300300299299299299299298298298297297297297296296296295295295295295295295295295295295295295295295295294294295294295295295295295295295295294294294294294294294294294294294294294294294294294294295295296296296296296297296297297296296297297296296296296295295296296295295295295295295295295295295295295295295295295295295294294294294294293294293293293294294293293293294294294293293293293293293293293292292292292292292292292292291291291291291291291291291291291291291291291292292292292292291291291291290291291290291291291290290291290291291291291291291291290290290289289289289290289289289289290289289289290290290290290290290290290290290290290290290290290290290290290290289289289289289289288288288287287287287287287287287287287287287287287287287287287287287287288288287287287286286286286286286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999315314312310309308308308308307307307306306305305305307308307307307306306306306306308309309308309309999999999999999999999999999999999999999999999999999999298288290294299300300299299298299299299300301300301301301301301300300300301300300300300301300300300300300300300300300300299299299300300300300301300300299298297298298297297297298298298297296296295295294294294293294294293293293294294294294295295295294295295295295295296296296296297297297297297298298298297296296296295295295295296297297298297298297298298298298298298300298299298297297298299299299299297297297298298299298298299298299300300300299299299299299299298298299298299299299298297298299299299299299299299300300300299299299299299299299300300300300300300300300301301300300300300301300300300301300300300301299299299300300300301301301301301302302302302302303302302303303303303302302302302302301302302302302301301301302302302302302302302302301302302302301302301301302302303303302303303303303304304304304304304305304305305305305305304305305305305305305306306306306306306306306306306306306307307307307308307307307306306306306306306306306306307306307306307307307307307307307307307306306306306305305305305305305305305305305305305304305304304305304304304304304304304303303304304304304305305305305305305305305306305305305304304304304304304304304304304304304304304304304304304305305304304304304304303303303303302302303303302302302302302302302302302302302302301301301301301301300300300300299299299299299298298298298298297297297297296296296295295295295295295295295295295295295295295295295295295295295296296295295295295295295294294294294294294294294294294294294294294294294295295296296296297297297296296296296296296296297296296296295295295295295295294295295295295294295294294294294295295295295295295295295295294294294293293293294294294294293293294294294294293293293293292293293293292293292292292292292292292291291291291291291291291291291291291291292292292292292292291291291291291291291291290291291291290291290291291291291291291291290290289289289289289289289289289289289289289289290290290290290290290290290290290290290290290290290290290290290289289289289288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999314314312310308308308308307307307307307307306305304304306307308308308308307307307307308308309308308310999999999999999999999999999999999999999999999999999999288291293295300299299299299298299298299299300300300301300300300300300300300300300300300301300300300300300301300300300300300300299299300300300300300300299298298297298298298297298298297297297296296295295295294294294293293293294294294294294294294294294294295295295296296296296297297297297298298297298298297296297297296296297297294294298298298297298297298298298298298299298297297297297297298298298298297298298297299299298298299299300300300298297297297296299298298297298298299299299299298298299299300299299300298300299299299298299299300300301300300301301300300300301301300300300300300301300300300300301301300301301300300301300301302302302302302302303303303302302303303303303303303303303303302302302303303303303302302302302303302302302302302302301301301301301301302302302302302303303303303303304304304304304304303304305304304304305305304305305305305306306306306306306306306306307307308307307307307307308308308307307307306307306306306307306307307307307307306307307307307307307307307306306306306305305305305305305305305304304305305305305304304304304304304304303304305304304303303304305305305305305305305305305306305305305304304304304304304304304304304304304305305305304304304304304304304304303303303304303303303302303303302302302302302303303302302302302302301302301301301301300300300300300299299299299298298298298297297297297296296296295295295295295295295295295295295296295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294295295296296296296297297297297297296296296296296296296296296295295294295295295295294295295295295295295295295295296296296296296296296296295295294294294294294294294294294294294294294294294294294293293293293293293293293293293292292292292291291291291291291291291291290290291291291291292292292292292291291291291291291290290290291291290290290291291291290291291291290290289290289289290290290289289290289289290290290290290290290290290290290290290290290290290290290290290290290290289289289288288288288288288287287288288288288287287287288287287287287288288287288288288288288287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311311310309309309309308308307307307307307305305304304305307308308308308308308308308308307307307999999999999999999999999999999999999999999999999999999999291291294295297301299299298299298298298299299299300300299299300299300299300300300300300300300300300300300300300300300300300300300299299299299300300299299299298298297298297298298298298297297297296296296296295295295294293293293293293293293294294294294294295295295295296296297296297297298298298298298298299298297297299295296297298296291298298299298298298298297298298298297298297298297298298298298298298298299299299299299298298298299300300299299297297296298298298297297297298298298299298298298299299299299299299299299298297298298299299300300301301301301302301301300301301300300300300300300299300300300300300300299301300301301301301301302302302302302302303303302303302303303303303302302303302302302302302303302303302302302302302302302302301301301301301301301301301300301301301302302302302303302304304304304303303303304304304304304304304305305306305305305305306306306306307306307307307307307307307307307307307308307307306306307307307306307306306307306306307307307307307306306306306306306306306305305305305305305305304305304304304305304304304304303304304303303304303304303303304304303304305305305305305305305305305305305305304304304304304304304304304304304304304303304305305304304304304304303303303303303303303302302302302303303302303302303303302302302302302302302301302301301300300300300300299299299299298298298297297297297296296296295295295295295295295295295295295295295295295295295295295296296296295295295295295295295294294294294294294294294294294294294294294295295295296296296296297297297297297297297297297297296296296296295295295295295295295295295295295295295295294295295295296296296296296296296296296295295295294294294294294294294294294294294294294293294294294293293293293293293293293292292292291291291291291290291291290291290290291291291291291292292292292291291291291291291291291290291291291291290290290291290290290290290290289290290289290290290289290290290290290290290290290291291290291291291290291290290290291290290290290290290289289289289288288288288288288288288288288288288288288288288287288288288288288288288288288288287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309309309309308308308307308307306307307307306305305303304305306308308308308307307307307306304999999999999999999999999999999999999999999999999999999999291292295296298299299300299299298298298298298299299299299299299300300299299299299300299300300300300301300300300300300300300300300300300299299299300300300299299297298297298297296297297296296296296297296296295294295295294293293293293293292292293294294295294295295295296296296296297296297297298298299299299299299299299297297296297298299299299299298299299298298298299298298297298297299297299297296298298298299298298298299299298299298299300300300300298297297297297298297297297297298299299298298298299299299299299299299297297297298298299299300300301301301301301301301301301301301301301300300300300301301300300300302300301301300301302302302302302302302303303303303302302302303303303302302303302302302302302301302302302302302302302302302302301301301301301301301301301301301301301301301302302303302303303304303303303303303303303304304304304305305305305306305305305305306306306307307307307307307307307307307306307307307306306306306307306307306306307307307307307307307307307306306306306306306306306306305305305304305305305304304304303303303304303304304304304303303304304304304303303303304304304305305305305305305305305305305305305304304304305304304304304304304304304304304304304304304304304304304304304303304303303303303303302303303303303303303302303303303302302302303302301302301301301300300300300300299299299299298298298297297297297296296296295295295295295295295295295295295296296296296295296296296296296295295295295294295294294294294294294294294294294294294294294294295295296296296296296297297297297297296296297297296296296296296296295295294294294295295295295295295295295295295295295296296296296296296296296296295295295294294294294294294293294294294294293293293293293293294293293293293292293293292292292291291291291290291291291291290290290291291291291291292292292292291291291291291291291291291291291291290290290290290290290290289290290290290290290291291291291291291291291291290291291291291291291291291291291291290290290290290290290289289289289288288288288288288288288288288288288288288288288288288288288287287288288288288288288288287286287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308308308308307308307307307307307307307306306304304304304304304305306306305303304305999999999999999999999999999999999999999999999999999999999999292291294297298299300300300299299298297298298298299299299299299299299300299299300300301300300300300301301300300299300300300300300298300299299299299300300300297298298299298296298297297297296296297295297297296295296295294294293293293292292292292293293294295295295295295295296296297296297297297299299299299298299300300299296999297297298299298299299299299298298298299299298297297298298298297296296296297297298299298298298298299299299298298299300300300298296296297296296298297297296296298298297297298298298298299299299298297297297298298299300299300300300300300301301300302300301301301301301301300300301301301301299301300301301301301301302302302303303303303303303302302302301302302302302303302301302302302302302303302302302302302302302302302302301301301301301301302301302302302301302301301302303303303303303303303303303303303304304304305305305306305305305305305305305306306307307307307307308308307307307307307307307307307307307306307307307307307307307307307307307307307307307306306306306306306306305305305304305305305305304304303303303303304303304304303303303303303304304304303304304303304304304304305305306305305305305305305305305305305305305304304304304304304304304304304304304305304304304304304304304303304303303303304304303303303303303303303303302302302302302302302302302301301301300300300300300300300299298298298297297297296296296296296295295295295295295295295295295295296295295296295296295296296296296295295295295295295294294294294294294294294294294294294294295295295296296296296296297297297297297297297297297296296296296296295295294295294294294294294295295295295296295295295295296296296296297296296296296295295295294295294295294294294294293293293293293293293293293293293293292292292293292293293292292291291291291291291291291290291291291291291291291292292292292292292292291291291291291291291291290290290290290290290289290290290290290290290290291290291291291291291291291291291291291291291291291291291291291290290290290289289289289289289288288288288288288288288288288288288288287287288288288288288288287287288288288287288288287287287287287287287287287287286287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308308308308308308308308307307307307307307305304304304304303302303302302302300302999999999999999999999999999999999999999999999999999999999999290290294296298299300301301301300299297298298299298299299299300297298298298300300300299300300300300300301300300300300300299300300300299299299299300300299300300299298298298298297297298298298299298297298298297297297296295295294293293293293292292292293294295295295295295295296296297297297297297298299299300299299300299299298295295295294296298297297299297298297297297298298297297298299298298297297297297298297297298297298298298298299299299297298301300299298297297297296296296297298296296297298297298298298298299299299299298298298297299299299300299300300300300300300301300300300300300299300300301300301301301301301301300300301301301301302302302302302303303303303302302302302302302302302303302302301302302301302303302302302301302301301302302302301301302301301301301302301302302302300301302302302302302303303303303303303304304304304304304305305305305305305305305305305306306307307307307307307307307307307307307307307307307307307307307306307307307307307307307307307307307307307307306307306306306305305305305305304304304304304304304304304303303303303304303303303303303303303302303303303304304304304304304305305306305305305305305305305305305305305305304304304304304304304304304304304304305304304304304304304304304304304304304303304303303303304304303304304303303303303303302302302301301301300300300300300300300299299299298298297297297297296296296296295295295295295295295295295295295295296295295296296296296296296296295295295295295295294294294294294294294294295294295295295295296296296296296296296296297297297297297297297297297296297295295294295295294295295294294294295295295295295295295295295296296296296296296296296296296296295295295295295295295294294294294293294293294294293293293293293293292293293293293293293292292292292291291291290290291291291291292290290291291291291291292292292291291291290291291291291290290290290290290289290289289289290290290290290290291291290290290291291291291291291291291291291291291290290290290290289289289290289288288288288288288288288288288288288288288288288288288287288287288287287287287287287287287287287286286286286287286287287287287287286287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310310309308308308308308308307307307307307307306305304303304304303302301300298297297300301999999999999999999999999999999999999999999999999999999999289293297299300301301301301301300299299298298299297299298299299298297297296298298300299300300300300299300300299299300299299299299300300299299299299299299299300299299297297297297297297297297297297297297297297296297296295295293293293293293292292292293294295295295295295296296296297297297297298298299299300300300300299298295297297296295295295296298296296296296297297298299298299300300298298298297297297298297297297298297298298299299299299298298301299299298297297297297296297298297295296298298298298298298298298299299298298299298298299298299299300300300300300301301301301301301301301301301300300301301301301301301300300301300301302302302302302302303302302302302302302302302302301302301302302301302302302302302302302302302301301301301302301301301301301301301301302302302302301302301300301302302302302302303303303302304304304304304305305305305305305305305305305305305306306307307307307307307307308307307307307307307307307307307307307307307306306307307307307307307307307307307307307306306306306306305305305305304305304304304304304304304304304304303303303303303303302303303303304303304303303304304304304305305305306306305305305305305305305305305305304304304304305305305305304304305305305305304304304304304304304304304304304304304304304304304304304304304304303303303303303302301301301301301301300300300300300300299299299298298297297297297297296296296296295295295295295295295295295295295295295296296296296296296296296295295295295295295295294294294294294294295295295296296296296296296296296296297297297297297297297297297297297297297296296295295294295295295294295295295296296296295295295295295296296296296296296296296296296296296295295294295294294294293293294293293293293293293293293293293293293293293293292293293292292292292291291291290290291290290290290290290290291291291291291292292291291291290290290290290290290290290290290289289289289290290289290289290290290290290290290290291291291291291291290291290291291290290290289289289288288288288288288288287287287287287288288288287288288288288288288288288288288288288288287288287287287287287287287287287287287287287287287287287287287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999315313312311310309309309309309308308308308308307307305305304304305304302302301295295295298999999999999999999999999999999999999999999999999999999999298290295297301300300300300300300299299299298298298297298298298297297296297297298300299299299299299299299299300299299299299299299299299299299298299299299299299299296298297297298296297298298296298298298297296297297297296296295293292293293292292291291292293294295295295295295296296296297297298298299300300300300299299298297296297296297296293293295296296297296296296297297298298299299299300298298298297297297298297298298298298298299298299298298298300300299298298298297297297296298298295297298298298298299298299299298298299299299299298299299299299300300300300300301301301301301301301301300300300300300299301299299300300300300301302302302302302302302302302302303302302302302302302302302302302302302301302302302302302302302301301301301301301301301301301301302302301302302302301301300301301302302302304303302303304304304304304304304304305305305305305305305305305305306306306305306307307307307307307307307307307307306306307306307306306306307306306306307307307307307307307307306307307307306307306306305305306305305305304304304304304304304303304304303304303303303303303303303303304304304303304303303304304304305305305305305305306305305306306306305305305304304305305305305305305305305305305305305305304304305304304304304304304304304304304305305305304304304304304304303302303302302302302302302301301300300300300300300300299299299298297298297297297297296296296296296296296296296296296296296296296296296296296296296296296296296295295295295295295295296296295295295295295295296295295296296296296296297297297297297297297297297297297297297296296295295295295295294295294295295295295296295295295295295295295295296296295296296295296296295295295294294294294294293293294293293293293293293292292293293292293293293293293293293293292292292292291291291291290290290290290290290290290290290290291291291292291291291290290290290290289289289289289289289289289289289289289289289289289290289290289290290291291291291291291291291291291291291291290290290289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313314313313312310310309309309309308308308308307307305305304305305305304302300297295295296300999999999999999999999999999999999999999999999999999999290294298300300301301301301301301300300299299299297297298298298297297296297295297299298298299298298299299299299299299298299298298298299298298298298298298298298298298298298297298298298298296297297297297297298297296298297296296294293292292292291291291292293294294294295295295296296297297298298298299300300301301300300300298296296297296296293292999297297295296295296296298297297298298297299298298297297297297296298297297298298297298299298298298298298298298298298298297297297296297297298297297297297297298298299298299299298299298299299299299300300300300300300300301301301301300300300300301300300300300300299299300300300300300301301302302302302301302302303302302302302302302302302302302302302302302302302302302302302302302301301302301301301302301302301301302302302301301302300302301302302302302303302303303303304304304304304304305305305306306306306306305305305306306306306307307307307307307307307307307307307307306306306307306307307307307306306306307307306307307307307307307307307307307307307307306305306306305305304304304304304303303304303303304304304304303303303303304304304304304304303304304304304304304305305305305306306306306306306306305305305305304304305305305305305305305305305305305304304304305304304304304304304304304304305305305305305304304304304304302302302303302302302302302301301301300300300300300300300299298298298298297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295296296296296295295295296296296295295295296296296297296296296297298298297297297297296297297296296295295295295295294294294295295295295295295294295295295295295295295295295296296296295296295294295294294294294293293293293293293293292292292292292292292292292292292292292292292292291291291291291291291291290290290290290290290290290290290291290291291291291291291291291290290290290289289289289289289289289289289289289289289289290290290290290290291292292292292292292292291291291291291290291290290289289289289289288288288288288288288288288288288288288289288289288288288288288288288288288288288288287287287287287287287287287288288287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313314313311310310310309309309308308308307307306306306305305306306305302300299298294296300999999999999999999999999999999999999999999999999999999292297299301301301300301301301301301300300300299299297296296297296297298297298299299298298299299299300300300300300299299299298299299299299298298298298298298298298298298298297297297297297297297296296298298299298297297298296296294293292292291291291291291292293293294294294295295296297297298298298299300301302301301301301299297296296296296294293295297296294295295296296297297298298298298298298297296297298298297298297297297297297297296297298297297298298298297298298297297296297296296296297297297298298298298298298298298299299299299298299299299300300300301301300300301301301300300300300300300300300299300300299300300299300300300301301301302301301301301302302302302302302301301302302302302302302302302302302302302302301301301301301301301301302302302302302302302301301302301301302301302302302302303303303303304304304304304304304305305305306306306306306306306306306306306306306307307307307307307307307307307307307307307306306306307307306306306306306306306306306306306306306306307306307306306306306305306305305305304304303303304304303303303304303303303303304303302303303303304304304304303304304303304304304304304305305305306306305306306306306305305305304304305305305305305305305305305305305304304304304304304304304304304304303304304304304304305304304304304303303303302302302302302302302301301301300300300300300300300300299299298298298298297297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296295295296296296296296296295295296296296296295296296296296296296296297297298297297297297297297297295295295295295295295295294294294294294294295294294294294294294294295294294294294294295295294295294294294294293293293293292293293292292292292291291292292292292292292292292292293292292292291292291291291291292291292292292291291291291291291291291291291291291291291291291291291291291290290290290289289289289289289289289290290289290290290291291291290291291292291292292292292292292292291290291291290290290289289288288288288288288288288288288288289289289289288288289288288288289288288288288288288288288288288287287288287287287287287288287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307313312311310310309309309309308308307307308307307306306306306306306302301300298295295300999999999999999999999999999999999999999999999999999295297299301301301301301301301301300300299299299300296296296296295296297297297298297298298298299299300300299299299300299300299299299299300299297298298298298298298298298298298298297297297297296297295297298298298298297298298298297296295294293293292292292292293294295295296296296297297297297298299299299301302302301301301301299299297296297296294293295296297295294296296296296296298297297296297297297296297297298296297296296296296296298298297296296297297297296297297296296296297296296296297296297297297298297297298298297298299298298298298298299299299299300300299300300302300300299300300300300300300300300300299299300300300300300300300300300301301301301301301301302302302302301301301301301302302302302302302302302302302301301301301301301301301302302302302301302302301301302302302301301302302303303303303304304304304304304304304305305304305306305306305305306306306306307307306306307307307307307307307307307307307306307307307306306307306306306305305305305305305306306306306306306307307307307307306306306305305305305304304303304304303303302303303304303303303304303302302303303304303303304303304303304304304304304304305305305305305305306306306305306305305304304304305305305305305305305305305305305305304304304304304304304304304303304304304304304305305304304304304304303303303303302302302302301301301301301301300300300300300300299299298298298297297297296296296296296296295295296296295295296296296296296296296295296295295295295295295295295295295295295295295295295295295296296296295296296296296296296296297298298298297297296297297297296296295295294295295295295294294294295296295295294295295295295295295295294295295295294295295295295294294294294294293293293292292292292292292292292292292292292292292292292292292292292292292292292291292292291291291292292292292291291292291291291291292292291291291291291291291291291290290290290290289289289289289289289289289289290291291292292291291292291291292291291292292292292291291291291290290290289289289288288288288288288288288288288289289289289289289289289289288288288289289288288288288288288289288287288288287288287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311312311311310310309309309308308308307307308307308308308307307305303301300297294293299999999999999999999999999999999999999999999999298297298298300301301301302301300301301300300299299299299299296296296296296296297298298297298298299299299299300299299299300299299299299299299299299299298298298298298298299299298298298297297297296296297296298298298298299299299299298298298297296294293294293292292293294295296296297297298298298298299299299299301302302302301301301301300299298297297296296296297296295294295296296296297297298298296298298298298298299298298297297296296295297298298298296296297297296296297297296296296297296295296296296297296297297297297297297297297298298298298298298298299299299299299299299299300300300300299300300299300300300300299299299300300299299300299300300300301300300300300300300301301302301301301302301301301301301301301302301301301301301301300300300300300301301301302302301302302302302302302302301302302303303303303303303304303304304304304304304305305305306306306306305306306305306306306306306306306308308308306306306306306306306306306305305306306306306305305305305305305305305305305306305306307307307307307306306306305304305305304304304303303303302302303302303303303303303304303303303303304304304303304303303304304304305305304304305305305305305305305305305305304305304304304304304304304304304304304304304304304304303303303303304303303303303303303304304304304304304303303303303303302303302302302302302301301300300300300300300300300300299299298298298298297297297297296296296296296296295295296296296296296296296296296296296296295295296296296296296296295296296296296296296296296296296296296296296297297297297297298298298298298297297298297297297297296295295295295295295295295295295295296295295294295295295295295295294295295294294294295295294295295295294294293293293293292292292293293292292292292293292292292292292292292292292292292292292292292292291292292291292292291292292291292291291291291291291291291291291290290291291291291291291291290290290289289289289289289289290291292292292292292292292292292292292292292292292292292291291290290290290290289289288288288288288288288288289289289289289289289289289289289289289288289288288288288288288288288288288288287288287287287287287287287287287287287287287287287286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311311312311310310309308308308307308308308308308308307307307307306304301302299295292293999999999999999999999999999999999999999999296297298299301301301301301302301302302302301299300300300299299296296296296296297298297296297298298298299299299299299299299299299299299298298298299299299297298298298298298299299298298298297297297296296297298298298299299300299299299299299299297296295295294294293293293294294296296296297298298298298299299299298301301300301999999999999300299299299300298298297298295294292294294296296298300298298297297297297297298298298298297296296296296297297297298296296297296297297297297297297297298297296297297296297297297297297297298297298298298299299299298298299299299300299299299299300300300300300300300299300300300299299299299299300300300300300300300300300301300300300300301301301302302301301301301301301302301301301301302301301301301301302301301301300301301301302301301301302302302302302302302302302303302303303303304303304304304304304304304305305306306305306306306305306306306305306306306306307307309308307307307306306306306306305305305306307306306306306305305305305305305306306306306306306307307306307307307306306305305305305305304304303303303303302302302303303303303304304304303303304304304304304304304304304304305305305305305305305305305305305305305305305304304304304304304304304304305304304304304304304304304304304303303303303303303303304304304304304304304304304304304303303303303303303302302302302302302302301300300300300300300300300299298298298298298297297297296296296296296296296296296296296297297297297296296296296296296296296296296296296296296296296297297297297297296296296296296296297297298297297298298298297297298299299297296296296296296295295295295295295295295295295296295294294294295295295295295294295294294295294294294295294294294294294293293293292292291292292292292292292292292292292292292292292293292292292292292292292292291292292292292292291292291291291292292291291291291290291290291291290290291291291291291292292291291290290290290290290290291291292292292292292293293293293293293292292292292292292292291291291290290290289289289288288288288288288288289289289289290290289289289289289289289289288289289288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312312312311310309308307308307307308308308307307307308307306305301301303299297296295296999999999999999999999999999999999999297297298300300303302301301301301302302302302301300300299299299296295295296295296296296296296297297298298298298299299299299299299299300299299299299299298299297298297298297298299299298298297297297297296296297297299298299300300300299299299299298297296296296295294294294294293293294295296297297298298299299298298299301303999999999999999999999999300300300299297297297999291291292293295296297299296298297297298298298298298298296299297297296298298297297296295296297297297297296296297297298297298297296296297297298298296296297298298298298298298299299299299299299300300300299299301300300300300300300300300300300300300299299299299300299300300300300300300301300301300300301301302302302301301302301302302302302302301302301302301301300301301302301302301302301301302302302302302302303303302302302303303302303302303303304304304304304304304304304305305305305306306306306306306306306306306306306306306307308308308307307307307306306305306306306306306307306306306306306305305305305305306306306306306307307307307307307307306306306306305305305304304304304303303303302302303303303303303304304304304304304304304305304304304304304305305305305305305305305305305305305305304304304304304304304304304304304304304304304304304304304304304304303303303303304304304304304304304304305305304304304304304303303303303303302302303303302302302301301301300301300300300299299298298298298298298297297296296296296296296296296296296296297297297297297297297297297297296296296296296296296296296296297297297297297297297296296296296297297297297297297297297297298298298298297296296296296295295295295295295294295295295295295295294294295295294294294294294294294294294294294294294294294294294294293292292292292293292292292292292291292292292292292292292292293292292292292292292291291291292292292292292292292291291291291292292292291291290290290290291291290290291291291291292291292292291291291291291291291291292292292292292292292293292293293293293293292292292291291292291291291291290290290289289288289288288288289289289290290290290289289289289289289289289289289289289289289289288288288288288288288288288288287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311310311311309308307308307307307307307307307308308308306303302302301300299298297296297297298999999999999999999300298298298298300300302303303301301301301302302302302301300299300299298296295295295295295296296297297297297298297298298298299299299299299299298298298298298298298299299297297298298298299298298298298297297296296296296297298298298300299299300300299298299296296296295296295294295295294293295296296296297297298298298298298300301302999999999999999999999999999999297296295294294999999290292294296297296297294297296296297298297298298298297297297296297298296297296296295295298297297297297296297298297298297297297295296296297297296296298298298298298298298299299300299299299300300299300299299299299300300300300300300300300300299299300300300300300300299299300300300301301301301301301301302302301301302302301301302302302302301302302301301301301301301301302302302301302302302302302302302303303303303303303303303303303303303303304304304304304304304305304305305305305306305305306306306306307306305306306306306308308308308306307307306306305305306306306306306306306306306306306305305305305305306306306306306307307307307307307307306306307306306305305305305304304304304303302303303303303303303304304304304304304304305305305305305304304305305305305305305305305305305305305304304304304304304304304304304304304304304304304304303304304304304303304303304303304304304304304304304304305305305305304304304303303303302302302302302302303302301301301301301300300300300299299298298298298298297297297297297297297297297296296296296296297296297297297296296297296297296296296296296296297296296296297297297297297297297297297297297297297297297297297297297297299298298298297297296297296295295294294295295295295295295295295295294294294294294294293294294294294294294294294294294294294294294293293292292292293292292292292291292292292292292291291292291291292292292292292291291291292292292292292292291291291290291291292291291291291291290290290290291291290290291291291291292292292292292292292291292292292292292292292292292293293293293293294293293293293292292292292291292291291291291290290290289289289289289289289289289289289290290290290290290290289289290289289289289289289289289289289289289288288288288288288287287287287287287287287287287287287286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302308308308307307307307307307307307307308308308306305303302301301300299299299299300302303298300299999999298298299300300300301302302301301301301301301302301301301300299299299298297297295295296296296297297298298298299298298298298298298298299299299299298298299298298298296297297297297297298298298298298298297295296296296296297297298298300299299299299299300299297297296295294294294295295295295295296296295296297297297297297298300301302999999999999999999999999999999999999999999999999999290292295294296296296297296295297297297297297298298297299298296297296296297297296299297299298297297297298298299298298298297297296297297297298297297298298297297298298299299299299299300301301299299299299301301301299299301301300300300300300300299300300300299300299299299299300300300301300300301301301301301301301301301301301302301302300301301301301301301301301301301301302302302302302302303302301302302303303303303303303303303303303303303303304304304304305304305304305305305305305305306306306306306306306306306306306306307307308307308307307306306306306306306306306306306306306306306306305305305306305306306306306306307307307307307307307306306306306306306306306305304304304304303302303303303303303303303304303303304304304304305305305305305305305305305305305305305305305305305305304304304304304304304304304304305304304304304304304304303303303303303303303303303303304304304304304304304305305305304304304304304303303303302302302302302302302301301301301301300300300299299298298298298298297298298297298297297297296297297297296297297297297297297297297297297297296297297297297297297297297297297297297297297297297297297297297297298298297297297297297297297298298297297297296296296296296296295295294295294295295295294295294294294294294293293294294294294294294294294294293294293294293293292292292292292292292292292291291292291291290291291291291291291291291291291291291291292292292292292292292292291291291291291291291291291290290291291291291291291290291291291291292292292292292293292292292292292292292292292292292293293293293293293293293294293293293292292292292292291291291291291291290290290290289290289289289290290290290290290290290290290289289290289289289289289289289289289289289289289288288288287287287287288287287287287287287287287287286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304306307306306305306306307307308308308307307307304303302302301300300299299299299301302302302303300300300301300301301302303303303301301300300300300300300301300299299298298298297297297295296296296297297298299299298298298298298299299298298299299299298298298298296297297298297296296297297297298297298297296296298297296296297297297298299299298299298298299302300297296296295294294295295295295295295296296296297296297297297298300300999999999999999999999999999999999999999999999999999288291293295294296295295296296296295296295296296297296297299297296296297297296295299299298298297297297297296297298297298298297298297297298297298297297297297297298297298298299299299299301301299299298299301301300301301301301301301301300300300299299299300300300299299299299299299300300300300301301301302301301301301301302301301301301302301301300301301301301301301301301301302302302303303303302303302302302303303303303303303303303303303304304303304304304305305305304305305305305305305305306306305306306306305305306306306307307307307306307307306306306306306306307307307307307307306307306306306306305306306306305306306306307307307307307307306306306307306306306307306305304304304304303303303303303303303303304303301303304304304304304305305305305305305305305305305305305305305305305305305304304304304304304304304304304304304304304304304304304303303303303303303303303304304304304304304305304305304304304304304304304303303303302302302302302302302301301300300300300300299299298298298298298298298297298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297298297298297297297297297297298297298297298298297297297296296296296296295295295295294294295295295295294294294293294294294294294294294294294294293293293293293293294293293292292292292291292291291291291291291291291291291291291291291290290291291291292291291291291291292292291292291291291291291291291290290290290290290291291290291290292291291292291292292292292293293293293293293292292292293293293293293293293294293293294294293293293293292293292292291291291291291290290290290290290289289289289289289289290290290290290290290290290290290290289289289289289289289289289289289289288288288288288288287288287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304304305305305307307307307307307307308305304303302301301300300300300300300300301301300300302301301301301302302303304304303302300300300300300301300300299299298298297297296296296295296296296297297298299299298298299298298299299299299299299299298297297297297296296297297296296297297297297296297297296296296298297297298297298298298297298298299297300300300297297297296295296295295295296296294296296297297297297297297298300301999999999999999999999999999999999999999999999999999289292293295295296295297294295295295294295295296297296296297297298296297297297299296297297297297295297297297297296296297298298298297297297297297298296297297297297298297298299298299299300300300298298299300300300300300300300300301299300300299299300300300300299299298298299298299299299300300300300301301301301301301302301301301300301301301300301301301301301301302301302301302302303303302303302302302302303303303302302302302302302303303304304304305304304304304305305305304305305305305305306306306306306306306306306306306306306307307306306306306306306306307307307307307307307307307306306306306306306305306305306306306307307307307307308307306307307307306307306306305305305304304304303303303303303303304304304303303304304304304304304304304304305305305305305305305305305305304305305304305304304304303304304304304304304304304304304303303303303303303303303303303303303303303304304304304304304304304304304304303304304303303302301301302302301301301301301300300300300300299299298298298298298298297298298298298298298298298298298298298298297297297297298297297297297297297297297297297297297297297296297297297297298297298299298298298298297298297298299299298297297297297297297297296296296296296295295295295294295295295295295294294294293294294294294294294293293293293293293293293293293293293292292292292292292291292291291291292291291291291291291291290290290290290291291291291291291291291291292292292291291291291291291291291291291291291291290290290290291291291292292291291292292292293293293292293293293292292293292293293293294294294294293293293294294294293293292292292291291291291291291291291291290290289290289289289289289289290290290290290290290290290290290289289289289289289289290289289289289288288288288288288287287288288288288287287287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304304305307306306304304306304305304303302302302301302301300300298301301301300300299301300301301302303303303304303302303302300300299300300299299299299299298297296296296296295296297297298298299299299299299298299298298299299298299298298298298298296297297297298297296296295296296296296297297297297294297297297297297297297298298298297299299300300301301297296297296296295296297297298297296298296296296297297297298301301999999999999999999999999999999999999999999999999999291291291292293295295296295294294294294294295296296296296296296296296295298297298296297296295297297296297297297296296297297298298298297297297296298296296298298298297297298299299300299300300298299299297300300300300300300300300300300300301300298299299299300298299298299298298299299300300300300300300300301301301301301302301301301301301301300300301301301301301302302302302302303303303302302302302302302302303302302302302302302302303302303304304303304304303304304305305305304304305305305305305305306305306306306306306306306307306307307306307307306307307307307307307307307307307307306306306306305306306306306306306306306306307308307307308307307307307306306306305305305305305305304304304303303303303304304304304304304304303304304304304305305305305305305305304304304304304304304304304304304304303303303303303303304303303304304303303303303303303303303303303303303303303303303304304304304304304304304304304303304304303303302302302302302302301301301301300300300300300299298298298298298298298298298298298298298298298298298298298298298298297298298298298297297298298297297297297297298298298298297297298298298298298298298299298298298298298298298298298298298297298297296296296297296296296295295295295294295295295295295295295294295294294294294294294293293293293293293294294294294293294293293293292292291292292292291291291291291291291291290290290291291291290290290291291291291291291291291291291291291290291291291290291291291291291291291290290291291291292291291291291292292292292293292292292292293293293293293293293293294294294294294293293293293293293293293292292292292292291291291291291291291291290290290290289289290289289290290290290290290290290290289289289289289289289289289289289289289289289289288288288288288288288288287287287287287287287287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303304305304306307307306306302303304304304302302301302301301301301301301302303303303302301301302302302302303304304304303302303301301300301301301300300299298298298297297296297296296297297297298298299299299299299298298298298298298298299298298298297297298297296297297296296295295295296296297297297297297297298298298297297297297298298299298298300303301299300300299299296296296297297298298297297295297296298297296297298301999999999999999999999999999999999999999999999999999999291289289291291295294291295295294294294295295296296297297297297297297297298298297297297296296297297297297297297296296297298299298298297297297297297297297297297297296297298298298298298300300299300300298298299300300300300300300300300300300301300299299299300300300299298298298299299299299299299300300300300300301301301302301301301301301300300301301301302302302302302302302303303303303303303303303302302302302302302302303302302302303302303303304304303303303304304304305305305305305305305305305305305306306306306306306306306306306307307307307307307307307307307307307308307307307307307307306306306305306306306305306306306306306307307307307307307307307306306306306306306305305305305304304304303304304304304304304304304304304304303303304304305305304305305304304304304304304304304304304304304303303303303303303303303303303304303303304303303303303303303303303303303303303303303304304303304304304304304304304304304302304302301302302302302301301301301300300300300300300299299298298298298298298298298298298298298298298299299299298298298298298298298298298298298298298298298298298298298298298297297297298298299299299298298299299299298298297297297297297297297297298297296296296296296296296296295295295294294295295295294294294294294294294294294294294293293293293293293293293293293293293293293292292292292292291291291291291291291291291290290290291291291291290290291290291291291291291291291291291290290291291291291291291291292291291291291291291291291291291291291292292292292292292292292292292293293293293293293294294293294294293293293293293293293292293292293293293292292292291291291291291291291291291290290290290290290290290289290290290290290290290290289289289289289289289289289289289290289289289289289288288288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304306305305307307306305302302304304304303301300301301300300301302303303304304304304304303303304303304304304305305304304303303302301302302301301300300299298298298297297297296296297297298298298298299299298298298297298298298298298299299298298297296297296295295296295296295295295296296296296296297297298298297297297297297297297298299299300303303300299299300299299298298297297299298299298297297297297297297296297297300999999999999999999999999999999999999999999999999999292292289290290291296293290294293291293294295294295296295296296296297297296297297296296297296296297297296296296297295297298298298298298298297298297297297297296296296297297298298297297297297297299299299299298299300300300300300300300300300300299300301300300300298300300299299299299298299300300300299300300300300301301301301301302301301301300300301301301301302302302302302303303303302302302303303303303303303303302303303302302302302302303303303303303303303303303304304305305305306306305305305305305305305306306306306306306306306307307306307306307307307307307307307308308308308307307307307306306306306306307306306306306306306306307307307307307307308307306307306306306306306306306305305305304304304304305305304304304304304304304304305305305304304305304304304304304304304304304304303304304304303303304303303303304304304304304304303303303303303303303303303303303303303303303303304303304304304304304304304303303304303304302302302302302301301302301302301301301300300300299299298299298298298299298298298298299298299299298299298298298298298298298298298298297298298298298298298298298298298298297298298298298299298299299298298299298298298297297297298297297297297297297296295296296295295295295295295295295294294295295295295294295294294295294294294294294293294293293293293293293292293293293293292292292291291291290291291291291290290290291291291291291291291291291291291291292291292292290290290290290291291291291291292292291291291290291291291291291291291291292292292292292292292293293293292293293293293293293293293293294293293293293293292292292293293292292293293292291292291291291291291290290291291291290290291290290290290290289290290290290290290290290290289289289289289289289289289290289289289289289288288288288288288288288287287288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304306305306307308307303303303304304304303302302301301301301302303305305305306306306306305305305305305306306306305305304304304303303302302301301300300299299298297297297296296297297298298298299299298298297298297298298298298298298298298298297296296296295295296296295295295295296296296297297297297296299298298297297297298298298298299298299299299298299298299299299296296296297298298299298298299298300297297297296297300999999999999999999999999999999999999999999999999999293292292290292292295290289293292294293294296297296296295295296296296297297297297297297296297297297297297297297296296297298299298298297298296297298297297298297297296296296297297297297296297298298299298298299299299300299299299299300300299300299299300300300299300299299299298299298298299300299299300300300299299300300300301300300301301301300300301301301300302302302302302302303303303302302302303303302303302302301302302301301301301302302302302302303303303304303303304304304305305305304306305305305305305305305306306306306306305306306306306306306306306307307308308308308308307307307307307307307307307307306306306306307307306306306306306307307307306306307306306306306307306306306305305304304304304305305304304304304304304304304304305305305304304304304304303304303303304303303304304304304304304304303304304303304304304304304304303303303303303303303303303303303303303303303303303303303303303304304303304303303303303303301301301302302301301301301301301301301300300300299299299299298298298299298298298298299298299299299299298298298298298298298298298298298298298298298298298299298299299298299299299299299299298299299299299299298297298298297297297297298297296296296296295295296296295295295295295295294294294294295294294294294295294295295294295295294293293293293294293293293293292293293293292292292291291291291290291291291291291291291290291291291291290291291291291292292292292292292291291291292291291292292292292292291291291290291291291291291291291291292292292292291292292292292292293292293293293293293293293294293293292292293292292292293293293293293293293292292292292291291291290290291291291290290290291291291290290290290289290290290290290290290290290289289289289289289289290289289289289289289288288288288288288287288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305306306306305307304304304304305305304303302303302301303303307305306306307307307307307306307309307307307306306306305304304304303302302302301300299298298298298298297296296297297297297297298298298297298298298297297298298298298298298297297296295295295295295295294295296296296296297297297297297297298298297297297297298298297298299298298299298297297300298299298296296296297298297297298299299300300298298298298297299999999999999999999999999999999999999999999999999999999292291291292294294293292291291294293293295296294295295295294295295295295297297297298296296296295296295296296297297297297298298298296296296296297298298297295297296296296296297298296296297298298298298299299299298300299298299299299299299299299300299299299299299299298299299299299299299300299299299299299299299299300300300299300300300300300300301301301301302302302302302303303303302302302302302302302302302302302302302302302301302302303302303302303304303303304303304304305305305305305305305305305305305305305305306306306306306306306306306306306306306307307307307308307308307307307307307307307306307307307307306306307307307305306306306307307308307307307307306305306306306306306305305305305305304305305304304304304304304304304304305305304304304304304304303303303303304304304304304304304304304304304304304304304304304304304304304303303303303303303303303303303303303303303303303303303303303304303303303303302302303303303301302302301301301301301301301301300300300299299298299299298299299299299298299298299299299299299298298298298298298298298298298298298298298299299299299299299299299299299299299298298298299298298299299299298297298298297298297298297297297296295295295295295295295295295295295294294294294294294294294294294294295294294294294295294294293293293293293293293292292292292292292292291291291290291290290290290290290291290291291291291291291291291291291291291292291291292291291291292292292292292292291291291291291291291292291291292291292292292292291292292292292292292292293293293292293293293293293293293293292292292292293293292292292292292292292292292292291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290289289289289289289289289289289289288288288288288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304304304304304304305305305305305304303302303302303303305306307307308308308307307307307309308307307307306306306305305304303303302302301300299298298298298298298297297296296297297297297297297297297297297298298298298297298298298298297296296295295294294295295295295296296297296297298297297298299299299298297298297297297298298298297297297299298299298297299296296296297297299297298297299299300299298297297297298299999999999999999999999999999999999999999999999999999999291292293293295294294289289293291292293293295293294294296294292293294294297297297296295295296295296295295295296296296296297297296297296296297296296296297295296297297297296297298296297298298298299298298298299298298298298298298298298298298299299299299299299299299300300299299299300300300300301301300299299298299300300299299299299300299300300300301301302302302303303303302302303302302302302302302302301302302302302302302302302302302302304303303303304303303304304304304304305305305305305305305305305305305304305306305305306306307306306306306306307307307307307307307308308307307307307307307307307307307307307307307306306307306307307307308307308307307307307306306306306306305305305305305305304304305305304305305305304304304305305304304304304304304304303303303303304304304304304304304304304304305305304304304304304304304304304304303303303303303303303303303303303302302303303303303303303303303303303303303302303302302302302302301302301301301301301301301300300300299299299299298299299299299299299299299299299299299299298298298298298298298298298298298299298299299299299299299299299299299299299299298299298299299299299299299299298298298297297297297297297297296296295294295295294294294295295294294294294294294294294294294293293293294294294294294294293293293293292292292292292292292292292292292292291291291291290290290290290290290290290291291291291291291291291291291291292292292292292292292292292292291291292291291291291291292291291292292292292292292292292292292292292292292292293293292293292293292293293293293293293293292292292292293292292292292292292292292292292291291291291291291291291291291291291291291291291291291290290290290290290290291290290290290289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300304304304303304304305305305305304303302301302304303305307307307307308308308308308309309308308308308307306306305304302301301301300300299298298298297298297297297295295295296296296296297297297297297297298299299298298298298299298296296296295294295294294294295295296297296296298297297296299298299299298298298299298298298298297295296295297298298296297299298296296297299301301298298299300299298297297297298299300299999999999999999999999999999999999999999999999999999999287290293291294293290290294290289293293294294293294295295295294296296296297297297295297295295295295295294296296296297296297296297297296297296297297297297297296298298296296297297297297298298298297298298297299298300298299298297298298298298298297298298299300300300300300300300300299299299300300300300300299299300300299299300300301300300300299300301302302303303303303303303302302302302302302302301301302302302302302302302303303303303303303303303303304304304304304304303306305305305305305305305305305304305305305305306306306306306306306306307307307307307307307307307307308308307307307307307307307307307307307307306307307307307307307307307307307307307307306306307306305306305305305305305305305305305305305305304303304304304304304304304304304303303303303303303304304304304304304305305305305305304304304304304304304304304304304303303303303303303303303303303303303303303303303303303303303303303303303302302303302302302302301301301300301301301301301301300299299299298298298298298299299299299299300299300299299299299298298298298298298298298299298298299299299299299299299300299299299300299299299299299298298299299299299299299298298297297297297297297297297296296295295295295294294294295294294294293294294294293293294293293293293293293292294293293292292293293291292292292292291291292292292290291291290290290290289290290290291290290291291291291291291291291291291291291291292292292292291292291291292291291292290291291291291291292292292292292291292292291292292292292291292292292292293293292292292292292293293293292293292293293292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291290290290290290291291290291290290290289289289289289289289289289289289289289289288289289289288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301304303303303304303304304304304303302300301302304306307308308311308311311310311310310308310309307307306305304303301300300300300299298298297297297297296297296297295295295295296297297297297297297297297298298298297298298298297296296295295294296294294295294295295296296295296297295296298298298299298299299298298298298297296295295295297298297297297297300300297298299300299299298298297297298297298299300299301999999999999999999999999999999999999999999999999999999999999286290292293292291295296293292294295291292293292293296294294297296296297297296295295296295295296294294295296297297297298297297297297297296296298299298297298297298297296299298296297297297296296295296297298300300298298298298297298298298300299299298299300300300300300300300299299300300300299299299298299300299299299299300300300300300300300301301301303303303303302302302302303302301302302302301302302302301302302302302303303302303303303303303303304304304304304305304305305304305305305305305305305304304304305305305306305306306306306307307307307307307307307307308307307308308307307307307307307307308307307308308307307308307307307307307307307306306307306306306306306305305304305305305305305305305305304304304304304304304304304303304304304303303303303303304304304304304304305305305306305305305305304304304304304304303304304303303303303303303303303303303303303303303303304303303303303303303302302302302302302302302302302302302301300301301301301300300299299299298298298298298299299299299299299300300300300299299298298298298298298298298298299299298299299300300300300299300300300300300299299299299299299299299299298298298298298297297298298297297297297296296295295294294294295294295294293294293293293293293293294293293293292292292293292292292292292292291292291291291292291292292292291291291291290290290291289290290290290291291291291291291291291291291291291291291292291291292291291291291291291291291292291290291291291291292291291291292291291292291291291291291291291291291292292292292292293292292292292292293293293293293292292292292292292292292292292292292292292292291291291291292291291292291291291291291291291291291291291291290291290290291290290291290289289289289289289289289289289289289289288289289288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301301301302303303303303304303301301303304306308308308308309311311311309310309309307307307307306305304302301301300301300299299299298297296297296296296296296295295295297297298297296297297297298299298298298298298298297297296296295295295294294294295295295296295295296296295296297297298298299299298299299298298298296295296295295297296296295296297296298299298298299299298298299299300298299299300299299999999999999999999999999999999999999999999999999999999999999288291293295293292296293292294295293294294296297292294294293296296296297297297296295295295297295296296296297297297296295297297297296297297298298298296296296297297297300298297299297298295297296296296297298299299299298298298298298298298298299298298298299299300300300300300300299300300300300299297299299300298298298299300300299299299300300300301302302303302303303302302302303303302302302302303302303302302302302302303303303303303303303304303304303303304305305304305305304305305305305305305305305305304304305305305306306306306306307307307307307307307307307307307307307307307307307307307307307308308307307308307307307307307307307307307307307307306306306306306306305306305305305305305305305305305304304304304304304304304304304303304303303303303303303304304304304304304305305305306306306305305305304304304304304304303304304303303303304304303303302303303303303303303303303303303303304302302302302302302302302302302302302302302301302302301301300300299299299299298298298298298298298298299299299300300300300300299299299298298298298298298298299299299299299300300299300300299300300300299299299300300299299299299299299298298298297297297297298297297297296296296295295294294294294294294294293293294293293293293293293293293293292293293292292292291292292292292291291291291291292292292292291291291290290290290290289289290290290290291291291291291291291292291291291291291292292292291291291291291291291291291292291291291291291291291291291291292291291291291291291291291291291291291291292291291292292292293293292293293292293293292293292292292292291292292292292292292291291291291291291291291291291291291291290290290290291290291290291291291291290290290290290290290290289289289289290289289289289288289289289289288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301301302303303303303304304304302302303304306308308309308308308310310310311308308306307307306305305304303302302301300300299298298296296295296296296295295294294294295296297297297298297297297296297297297297298298297297295296296296296296295295295295295296296295296295296296296297296297298299299299299299298297297296296295296295295295294294296296296297297299299298299296297297298301300300298298298298999999999999999999999999999999999999999999999999999999999999999292295296294292293292289294292295294295296297297292291293294295296295296296296295294294296297296295297297296296295295295295296295296296297298298297297296297297296298297298298298297297297297297297299297297298299300299299298298298298298298297297298299299299300300300300300299300300299299299299299299299299298299299299298299298299300300300301302302302301302302302302302303303303302304303303303303303303302302302303303303303303303304303303303304304304305304305304304304305304305305305305305304304304304304305305305305305306306306307307307307307306306307307306306306307306307307307307307307307307307307308307307308308308307307307307306306306306306306306306306306306305305305305305305305305305305305304304304304304304304304303304303303303303302303303304304305304305305304305306306306306305305305304304304304305304304304304304304304303303302303303303303303304304304303303303303303302302302302301302302303303303302302302302302302302301300301300299299299299299299299299298299298298299299299300300300300299299299299298298298298299298299298298299299299299300300300300300300300300300300300300300299299299299299299298298297297297298297298298298297297296296295295294294294294294293293293293294294293293294293293293293293292292292292292292291292292292292291291291292292292292292292291292291291291291291289290290290290290290290291291291291290292292292291291292292292291292292291292292292292292291291291291291291291291291291291291291291291290290290290290290290290290291290291291291292292292292292292292292292292292292292292292292292291292292291291291292291291291291291291291291291292291291291291291290291290290291290290290290291290290290290290290290290290290289289289289289289289289288289289289289289289289288288288288288288287287287288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301302303303303304304304304305303304305307308308308308309307311310308307307306306306306305305304303302302301300299299298297297296296296296295294292293292294294295295296296297297297297297298297297297298297297297296296296296296296296295294294294294295294295295297295295297297297297297299299298299299297297297295296293295295294294296297297298297295297298298299300297296298298299299299299298298299999999999999999999999999999999999999999999999999999999999999295295296295294295296292291293291293294297300298293294294294294294294294294294295295294298299294296298297296295294293294295295294294295297296296297298297297297297298297298297297298298297297295295298300297298298297300299298298298298298297297297297297298299300300300299300299299298299298299299299299299299299299300299299298299299300301300300301301301301301301302302301301302303303304304303303304303303303302302303303303303303303303304304304304304304304304304304304304304305305305305304305304304304304304304304305305305306306306306307306306306306306306306306306306306306306307306306306307307308307308308307307307308308308308308306306306306306306306306305306306305305305305305306305305305305305305305305304304304304304304304303303303303303303303303303304304304304305305304305306306306306305305305304305304304305304304304304304304303303302302303303303303303303303303303302303303302302302302301301301302303302303302302302302302301301301301301300301300299299299299299299299298298298299299299299300300299299299299299299299299299298299298299299299299300299299300300300300300300300300300300300300299299299299299299298298298297298297297298298298297297297296295295294294295294293293293293294294294294294293293293292292292292292292292292292292292293292292292292292292292292292292291291291291291290291290289289290290290290290290290290290291291291291291291291291291291291291292292291292291292291291291291291291291291291291291291290290290290290290291290290290290291291291291291291292292292292292292292292292292293292292292292292291291291291292291291291291291291291291291291291291291292291291291291291291290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289288288288288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301302303303304305306305305304304304305307308309309308311307307307307306306306306306306306305304303302302301300299298298297296296295293295294293291292292293294296296296296296297297297297297297297298298297298297296296297296296296295296295294295295295294294294295296295297296297297297298299299298298297296296294294295294293294294296297298297298295298299298300300301300302299299300300299298297299999999999999999999999999999999999999999999999999999999999999294294298295294295292294294298295293291296292292290293294294294294294293294295295295295295294298298297296297295293292293294297296294296298297297298298298298297294296298297298299299297296297298297299298297297298298300300299298298297297297297297298298298300300299299299299298298298298298298300300299299299298298298298298297298299300299299300301301301301301301301301301301302302302302303303302303303303303302303303303304303303303303304304304304304304304304304304304304304304305304305304304304305304304304305304305305305305305306306306306306306306306306306306305306306306306306306306306306307307308307307307307307308308308308307307307307306306306306306306306305305305305305305305305305305305305305305305304304304304304303303303303303303303303303303303303304304304305305305305306305306306305305305305305305305305305305305305304303303303303302303303303303303304303303303303302302302302302302302302302302302302302302303302301301301301301301301301299300300299299299299299299299299299299300300300300300300300299299299299300300299299299299300300299299300300300300300300300300300300300300300300300299299299299299298298298298297298297297297297298297297297296295295294294294294293293293293293293293294294293293292292292292292291292292291292292291292292292292291291291291292292291291291291291290290290291291291291290290290291290290291290291290291291291291292291291292292292292292292291292292291292292291291291291291290290290290289289290290290290289290290291290291291291291291292292292292292292292293292292292292292291291291291291291292292291291291291291291292291291291291292291291291291291291291290290290290290290290290291291291290290290290290290290290291290289289289289289290290290290290289290289289289289289288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303304305305306306305304304304305306308309309308309308307307306306306306306306306306305304303303301301299298297297297296295294294294294294291291292293295294295295295295295296297297297297297297297298298298297296295295295296295296296295296296295295295294296296297296297296297297297298298299299298296296294294293293296295295297295296297298297298299299301301302295300299299300300299299298999999999999999999999999999999999999999999999999999999999999999296296298298297295291294295297294291294292292290297292292294293294294295295294295294294294294295295296296295295292294295296294294298296298298298297297298298297295295297297299298297297296298296295296296298297297296297299298298298299298297298299300299298299298299299300300299298298298298298298298297297297298297298296298298298298299300299300300301301301301301301301301301302302302302301301302302302302302302303303303303304303303304304304304304304304304304305304304304305304305305305305304304303304305305305305305305305305306305305305306305306306306305305306306305306305306306306306307306306306307308308307308308308308308308308307307307307306306306306306306306305305306305305305305305305305305305304304304304304304303303303303303304304304303303304304304304304304305305305305305305305305305305305305305305305305305305305305304303303303303303302302303303303303303303303302302302302302302302302302302303302302302302303302302301301301301301301300301300299299299299299299299299299299299299299299299299300299299299299300299299299299299299299299299299299300300300300300300300300300300300300300299299299299299298298298298297297297297297297297297298297297296295295294294294293293293293293293293293293293293293293293292291291291291291291291292291291291292292292291292292291292292292291290291290290290290289291290290291290290290291291291290290291291291291291291292292292292292292292292292292292292292291291290291290290290289289289289290290290290290290291291291290291291292292292292292292292292292292292293292292292292292291291291291292291291291292292292292292292292291292291292292291291291291291290290290290290289290290290291291291290290290290290291290290290289289288288288289290290290290289290290290289289289289288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305304303305305305305304304305306307308308308308307307306306306306306306306306306305304303303301300300299298297297297295294294295294294293292293294294295294295295296296297297297298297296296298298297298297296296295295296295295295296297296296296295296296295296296297297296297297297296298297299297296295296294297296295294295295296295297297299299300302302302299302300301300300299300299999999999999999999999999999999999999999999999999999999999999296296295295297297295291293293296296289293290291290297292292293293293293294295297295293294299296293293293293293293293294297294295294299297297296298298298298298299297298298299297297297294296297296297297298297297297297295295297297297299299299299299299299299299299300300299299299298298298298298298297296297297296296298297297297298298299299300300301301301301301301301300300300301301301301301300301301301301302302302303303303303304304303304303304304304304305304304304304304304304304304304304304304304304304305305305304304305305305305305305305305305305305305305305305305305305305305305305306306306307307307308307307308308308308308307307307307306306306306306306306305305305305305305305304304305304304304304304304303303304303303303304304304304304303303304304304304304304304304305305305305305304304305305305305305305305305305304305304304303303302302303303302302302303302302303303303302302302303302302302302302302302302302301302301301300301300301301300300299299300298299299299298299298298299299299299299299299300299299299300299299299299299299299299299299300300300300300301300300300300300300299299299299299299299298298297298297297297297297297297297297297296296295295294294294294293293293294293293293293293293293293293292292292291291291291292291291291291291291291291292292292291291291290290290290290289290291290290290290290290290291291291291290290290290291291291292291292292292292292292292292292292292291291291290290290289290290290290290290290290291291290291291291292292292292292292293292292293292293292292292292292291292291291291292292292292292292291292292292292292292292292292291291291291291290290290290290290290290290290291291291290290290290291291290290290289289289289289289289290289289288289289289289289289289289288289288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302302303305306305305304305305308308307307307306305305305305306305307307306306306305304303302302301300299298297297295295295296295294292292293293293294294295295296296296296298297297296297297297297297297296296296296296296296297297297297297297296296296297297298296297298297297296297293292300295296295295295297297297296295296296294297298298300300301302302303302303301297299300301300999999999999999999999999999999999999999999999999999999999999295297295296295296295295296297296295294293291295293296297291293292293294295299296299298294298293294294294294294294294294294295294296298297297295296297298299297298297298298298297298297297297297296296297298298298298299295296298300298298300299299301299299299300300300300298298298298299298298297297297297297298298297297297298298298299300300300301301301301301301301301300300300300300300301301300300300301301301301302302303303303303304304303303304303304304304304304304304304304304304304303304304303304303304304304304304304304304305305304304304305305305305305305305304305305305305305306306306306307307307307307307307308308307308308307307307307307306306306306306305305306305305305305305305305305304304304304304304303304304303303303303303304304304303303304304304304304304304304304305305305304304304304304305305305305305305305305304304303303302302302302303303302302302302302302302303302302302302302302303302302302302302302302301301301301301300301300300300299299299299299299299298298298298298298299298299299300300300300299300300299299299299299299299299299300300300300300300301301300300300300300300299299299299299299298298298297297297297297297296297297296296295295294294294294293294293293293294294293293294293293293292292292292291292292292291291291292291291291292291292291291291289290291291291290291291291291291290291291291291291291291291291290290290290291291291292292292292292292292292292292291292292292291291290290290290290290290290290290290290291290290290291291291292292293293293293293293293293293292293293292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291290289290290290290290290290290291291291290291291291290290290290289289289289289289289289289289289289289289289289288288288288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303303305304304305305305308307307307306305304305305305306306306306306305306305305304304303302301301300298297298296296296295294294292293294293293294295296296296296296296297296296297296295297297297296296296295296295296297296297297297297297297297297297298298297298297297296296296294297294293293294297297296296296295295293294298298299299299302302300300301302298300297297299300999999999999999999999999999999999999999999999999999999999293293295295296295294295294296299295295295294294295292295297291291293293294295295295295294298296295294295294293294293295295295295295296297298298298297296296297297299303297298297296299300298296297296297297297298299298296297299299298299298299301300300300301300299301300299298299300297297297297297297298296298298298297297297299299300299302300301300301301301301301301300300300299299300299300300300300301301300301301301302302303303303303303304303304304304304304304304304304304303303303303303304304304302304303303304304304304304304304304304304304305305304305305305305305305305305306305305305305306306306307307308307308307308307308308307307307307307307306306306306305305305305305305305305305304304304304304304303304304304304304303303303304304304304304304304303304303303304304304304304305304304305304304304304305305304305305304304304304303303302302302303302303302302302302302302302302301302302302303302303303302302302301301301301301301301300300300300299299300300299299299299298298298298298298298298298299299300300300300300300300299300300300300300300300300300300300300300300300300300300300300300300299299299299299299299298297297297297297297297297297297296295295295294294294294294294293294294294294294295294294294293293292292292291292292292292292292291291291291292291291290290290290290290290290290291291291291291290290290291291291291290291290290291291291291291291291292292292292292292292292292292291292291291291291290290290290290290290290290290291291291291291292292292292292292292292293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292291291291291291291290290290290289290290290289290290290290291290290290290290290290290290289289289289289289288289289289289289290289289289289289288288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301301301302303304304307307307307306305304305305306306306307306305305305305304304303302302302301300299297297297297297296295295293293292292294294296297296296295296296297297298296296295296297296297297296297296297297298298297298297297297298298297298299298299299298298297296297294296297296295296296292296293294296296296296297299300301300302304303301300301302999296296296298999999999999999999999999999999999999999999999999999999999292293295294296295297297291297295296294296295294296296296295297292291293294294295294293294295293295295294294292293294295295296296292292299298299299298295296295298298298297296297297298299301298297297295297297298299298298300301296299298297299298297300300301300299300301300299299299299297297297298299298297299299299297297298299301301301301301301301301301301301300300300300299299299300299300300300300301301300301301301301302302302302302302303303303303303304304304304304304303303303303303303304304304304303303303303304304303303304304304304304304305305305305305305305305306305306306306305305305305306307307307307307307307307308308307307307307307307307306306306306306305305305305305305304304305304304304304304304304305304304304304304304304304304304304303304304303303303303304304304304304305305304304304304305305306305305305305305304304304303303303303303303303303303302302303302302303302302302302303303303303303302302302301301301301301301301301301300300300300300300299299299299298298298298298298298299299299300300300300301301300301300300300300301301301300300300300300300300300300300300300300300299299299299299299298298298297297297297297297296297297296297295295295295294294294293294294294294294294294294294295294294293292293292292293292292292292292292292292292291290290290290290290290290290291291291291291291291291291290291291291291290291291291291291291291291291291291292292292292292292292292292292292291292291291291290291290290290290290290291291291291291291292292292292292292292293293293293293293293293293293292292291292292292292292292292292292292292292292292292292292292292292291292291291290290290289290290290290290289290291289290290290291291291290291290290289289289289288289288288289289289289289289289289289289288288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302299301302302302303308308307307306305304305305306306306306306305305304304304304303302302301301300299298298297297296295295294294292292293293293294296295295296297297297298295295295295296297297297297297297296297297298298298298298297298296298298298299298298298297297298297296296296298298296295294297294291296297297298298299300302301298301301301302301302301999999299297298300999999999999999999999999999999999999999999999999999999293296295294297294297296296298296297296296296293296295296293297297296293294294294294292291295293296294295296294295295296296296294295294296299301298297300297297296298298296298298297299296300299298297298297299298298299299299301300298298296296296298301300300301299298299300298298298297297298297297298298299299299299298299299300300302301301301302302302301301300300299300299299299298299299299300300300300300300301301301301302302302301302302302303303303303304304304304304304304304304304303303304304304303303303303303304304304303304304304304304304304304305305305306306305306306306305306306305306306306306307307307307307307307307307307307307307307307307306306306306305305305305305305305304305304304304304304305304305305304304304304304304304304304304304303303303303303303303303304304304305305305304304304305304304305305305305305305304304304303303303304303304304303303303302303302302302302303303303303303303303303303302301301301301302301300301301301300300300300300299299299299298298298297298298298298298299299300300301301301301301301301301300301301301301301301300301301300300300300300300300300300300299299299299298298297297297297298297297297297297297296297297296295295295294294294293294294294294295295295294294294294294293293292292292293293292292292292291292291291291291290290290290290290290290291291291291291291291290290290291291291291291291291291291290290291291291291292292291291292292292292292292292292291291291291291290290290290290291291291291291291291291292292292292292293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292291292292292292291292291291290290289289289289289290289290290290289290290291291291290291290290290289289289288289289289289289289289289289288288288288288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302299299299302307307306306305305304304305305305305306305305304304304304304303303302301301300299299298297297296295296294294293294293293294295296296297296297297297298295296297298296297297296296296296296296296298298298297297296297296297297298297298297297298297297296295296297296298298297296296296297297299300299298300302300304302303302302298298300301999999299299300300999999999999999999999999999999999999999999999999296297294296296293295295296294296296297297297296296294294293296295295298296298292294294294293294294294293295293295296296295295294295294296294295294301295294296295297296296298293297299299299298299299298297297298300298300300300299299299299299299297296297297299301301300298299298296299299297296297295296297298300299300299299300299302301301301302301301302301301301300300300300300300300300299300300300300300301301301301301301302302302302301302303302303303303304304304304304304304304304304304304304304304304304303303303303303303303304304304304304304305304304305305305306306306306306306306306306306306306306306306306307307307307307307307307307307307307307307306306306306306306305305305305305305305304304304304304304304304304304304304304304304304304304304304303303303303304304304304304304304304304305305305304305304305304304305305304304305304304304304304304304304303304304303303303303303303303303303303303303303303303303302301301301301301301300301301301301301300300300300299299299299298298298298298298298298299299300300300301301301301301301301301301301302302302301301301301300300300300300300300300300300299299298298298298297297297297298298297297297297296296296296295295294294294294294294294295295293294295294293294294294293293292292291292293292292292291291291291291291291291290290289290290290290291291291291291291291291290291291291291292291291291291290290291291291291292292291292292292292292292292292292292292292292291291291291290290290290291291291291291291291291292291292293292292292293293293293293293293293292293291292292292292292292292292292292292292292292292292292292292292292291291292291291290290290290289290290290290291290290291291291291291291290290290290289289289289288288288288289289289289289289289288288289288288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298296296299304305305304304304304304303304304303305304304303303303302302303302301301300299298298298296296294295294295294294295295294295295296295296298299299298296296297298298299297296296296296296295295296296297297298297296295297297296297296297297296296296297297296296297297297298297296299297297298294300299298298302305305304302302302301301301300999999999299299999999999999999999999999999999999999999999297297298296299294291292295295290293298294296298297295294296293294295296295296297293291298297294294295295294294293293294296296296293294294295294294296296295292295295300301295299294295298299300297299299297297297299299300300299299298297299297297295300296296296296295300302300299299299299298299298297297296296297299300299299298300300300300302302301301302301301302301301301300300301301300300300300300300300300300301301301301302302302302302302302302302303302302303304304304304304304304304304304304304304303303303303304303304303303304304304304304304304305305304305305306306306306306306306306306306306306307306307307306307307307307307307307307307307307307306307307306306306306306306306305305305305305305305304305304304304304304304304304304304305304304304304304304304304303303304304304304304304304304304304304304304305305305305305304305305305304304304304304305304304304304305305304304303304303303304303303303303303303303303302302301301301301301301301300301300300301300301300300300299299299298298299298298298298298298299299300300301301301301301301301301301301302302302302302301301300300300300301300300300300299300299299299298298298298297297297297297297297297297296296296296295295295294294294295295295295295295295295295295295295294293293293291292291292292292291291291291292289290290291290291290290290290290291291291291291291291291291291291291291291291291291291291290291291291292292292291292292292292292292292292292292292292292291291291291290290290290290290290291291291291291291292292292292292292293293293293293293293293292291291291291292291291291292292292292292292292292292291292292291291291292291291291290290291290290290290290290290291291291291291291291291290290290289289290289289289289288288288289288289289288288288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296296299303304304303303304304304302304304304304304303303302302302301302301301300299299298298296296295294295294293293294294293293294294296297297297297297297297298298297298297296297295295295296295295295295295296297296295295295296295296296297297297297297297297298297298297296299295300301295298298299300300299298302305306305302301301301301301302999999999999999999999999999999999999999999999999999999297297295296294294292291292290289293297296294293298297296292296295295296295294294296293292293295295294296296295294294293294296295295293294296295294293295295295295293297295300295296298297300297299298296299297299299300300300300298299298297297296297297297296296296296296295302303301294295295296295300299298299298299299300299299299300301301302301302303302302301300300300300300300300300300300300300300300300300301301301302302301302302302302302303302302303302302302303304304304304304304303303304304304304303303303303303303303304303304304304304304305305305305305305305305305306306306307306306306307307306306307307307307307307307307307307307307307306306306306306306306306306306306306305305305305305305305305304304304304304304304304304304304304304304304304304304304304304304304304303303304304304304304304304305304304305305305305305305305305305304305304304305305304304305305304306304304303303303303304303303303303303302302302302301301301300301301301301301301301301301301301301301301300299299298299298298298298299298298299299299299300301301301302301301301301302301302301301302302301301301301300300300300300300300300299300299298298298298298298297298298298297297297297297296296296295295294294295295295295295295295295295295295295295295294293293293292292292292292292291291291292291291291290291291291290290290290289291291291290290291291291290290290290290291291291291291291291291291292292291291291291291292292292292292292292292292291291291291291290290290289290290290290290291291291291291291292292292292293293292293293293293293292292292292291291292292291291292292292292292291292292292292292292292292292291291291291291291291291291290290290290291291291291291291291290290290290289289290289289288288288288288288288289288288288288288288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297296299302303303303302304304304303304304304303303303302302302301301301301300299299298298297296295295294294294294293294294294293294295296297297297297297297298298298298298297297296295295295296295295296295295296296295295295295295295296295297296296297298298297297295296294294298295297296296299294297299299300300298300300300301301301301301300299299999999999999999999999999999999999999999999999999293295295296297294297292298296297294289297294294297297297297294293294295295296296295293296295295296295295296295294294292293292295296295295296296295295294294297295297295292294295298295293298297296299296298298294296299297300300299299298298297296297297298298297299297297297296295294295297297296299300302300301301300300298300300299301300301301301301302302302302301301301300301300299300300301301300300300301301301301301302302302301302302302302302302302302302303302303302303304304304304303304303303304303303303303303303303303304304304304304304304304304304305305305305305305305305306306306307307307307307306306307307306307307307307307307307307307307307306306306306306306306306306306305305305305305305304305305305304304304304304304304304304304304304304304305304304304304304304304303303304304304305304304304304304304304304304305305305305305305305305305305305305305304304305305304304303303303303303302302302302302301301301301301301301300301301301301301300300301301301301301300300300300299299299299298298299298298299298299299299299299300301301301301301301300301301301302302302301302302301301301300300300300300300300300299299299299298298298298298298298298298298297297296296296295296295295294295295295294295295295295295294294295294293294293293293292292291290291291291291291292291291291291291291291291290290290289290290290291291291290290290291291290290291291292292291290290290291291291292292291291290290291291291291291292292292291291291291291291290290290290290290290290290290290290291291291292292292292292293293292292293292292292292292291292292292292291291291291292292292292292292292292292292292291292291291291290291290291290290290291290290290291291291291290290290289289289289290290289288288288288288288288287288288288288288288288288287287287287287287287288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297299300302303303303303304304303303304304303303303302302302301301301302300299299298298297296296294296296294293292293294294293294294294295297297297296296297297297297296296295295294295295295295294295296296295295295294294294295295295295296296296297298298297297296296295294295294297297298299299299299299300298298301302302301301300300301300299298999999999999999999999999999999999999999999999999999293294294295293290291294294296292290290292294296296296293294294293294294295295293291291292293295295296295294295295293296294295296297296298294294293293295295296297296294295296295299297295296295297298299299297299299299298301299299300301301300298299299300300299298298298296295297296297297299297300302303301299300300301301300300300301301300300300301301301300300301300300300301299300299300301300300301301301301301302302302302301302302302302302302302302303303304303303304304304304303303303303303303303303303303303303304303304304304304304304304304304304305305305305305305305306306306306307307307307306307307307307307307307308307308307307307307307307306307306306306306306306306305305305305305305305305304305304304304304304304304303303304304304304304304304304304304304304304303304303304304304304304304304304304304304304305305305305305305305305305305306305305305304304304304303303303303302302302302301301301301301300300301300300300300300300301300300300300300300300300300300300300299299299297299298298298299298298299299299298299299299299300300301301300301300300300300301302301301301301301300300299300299300300299299299299299298298298298298298298298298297297296296296296296295295295295294295294295295295295295295294294294294294293293293293292292292291291291291291290291292292291291291291291291290290290290290290290291290291290290291290290291290291291291292291291291291291291291291291291290290291290291291291291291291291291291292292292291291290290290290290290290290290290290290291291291291291292292292292292292292292292291291292291292291292292292292292292292291292292292293292292292292292292292291291291291292291291291290290290290291291291291291291291290290290290290290290290289289288289288288287288287288287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298300300303302303301303303303303304303302302302301304304302303303302301300299298296296296296296294294295294293292294293293294294295294297296295296296297297297296294296295294295295295295295295296296295294295296294292294294295295296296296296297298297298298297296296295292294295300297297300299299300297297298300302302303300300299298299299296999999999999999999999999999999999999999999999999999295294295295297293292295295294294292291293292294296295294294295294294295294295293292293293294295295296295295295295296296295296296296296295295293294293297296295296296293294294295294297298297297296298298298297300299298298299300299298301302301298299300298298298298298298296297297301299299297299298302298299300300299300300298299300301300300299300300301300300301300299299300300300300299299299300300300301301301300301302302302300301302302301302301302302303303302302303303303303302303302302302302301302302302303303303303303303303303303303303303304303303304304304304305305305305305305306306306306306306306307306306307307307307307307307306307306306306306306306305305305305305305305305304304304304304304304304304304303303304303303303303303303304303304304304303304303303303304303303303303303303303304304303303303304304304305304304304305304305305305305305305305304304304303304303303303302302301301301300301300300300300300299300299299299300299299299299299299299300300300299299299299299299298298298298298298298298299299299300299299299299300300300300299300299299299299300301301301301301301300300300299299300300299299299300299299298299299298298298298298298297296296296296296296295296295295294295295295295295295295295295295294294294293292292292292292292292291291291290291290291292292291291291291290290290290290290289290290290290291291291290290290291291291291291291291291290291291291291291291290291291291291291291291291291291291291292291291291291291290290290290290290290290290290291291291291291292292292292292292293292292291291291292292291292292292292293292292292292292292292292292291291292291291291291291291291291291290291290289290290290291290291291291290290290290289289290290289289288288288288288287288287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299300300302302303303302302304303303302303302303303301302302302300300300298298296295297296294294294295293292292292294293293293296297299295296296296297296295296295295295295296295296296295296296295295295295295294295295294295298297294299298297297297297296297297296294294295300296301303300299301298298300300300301300301301300300300299299999999999999999999999999999999999999999999999999296296295295297295295292295292296296294295296292296296298295295293294295295293293293296293291294294294294294294294295296294293296295294296295295293295296297296295294294294294292294296294297296298298296298296298299299299299298299300300301300299299299300300299299300298298298297297297300299300299299300297297300301301301302299298300301300300300301301300301300299300299300300299300299299300299300300301301301301301302302302300301302302301302302302302302302302302303303303302302302302302302302302302302302302303303303303303303303303303303303303303303303304304304305305305305305305305305306306306306306306306306306306307307307307307307306306306306306306305306306305305305305305305304304304304304304304304304304304304304304303304303303303303303303303303303303303303303303303303303303304303304303303303303303303303304304304304304304305304305305305305304304304304304304304303303302302301301301301301300300300300300300300300301300300300300300299299299300299299299299299299299299299299299298299299299298299299299299299299300299299299299299299300299299299299299299299299299301301300301300300300299300300301300299300300300299299299299299299299298298298298298296296296296296295296296295295295295295294295295295295295295295294295294294292293292292292292291291291290290291290290292291291291291291290290290291290290290290291290291291290290291291290291291291291292291291291291291290290291292291291291291291291291291291291292291292291291291292290291290290290290290290290290290290290291291290291291291291291292292292292292292291291291292292292292292292292292292292292292292292292292292291291291291290291291291291291291290290290291290290290290290290290290290290290290289289290290289289288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299301301300301302302300300304303302302302300302303302301302301299299299298297294294297296294294295294293293293292292293291292295295296296296296296296296295295294295296296295296296294294295294295294294295294293297296294295297297297299299298295297296298296296296296297297300301302306302301296295298299300301300299300300298301301300299999999999999999999999999999999999999999999999999297294297295293296299294296294293288291295294299298295297293297297296296296294295291295293292293293293294293295295297297297293294295295294295294295295296297297296294294294294294295296295294297296300295297297298299300299299300300299300300299300298299299299300300300300299296298298300298298299298300300299300299299299301300299298300301301300300300302300301299301299299300299299299298300299299300300301301300300301302301301301301302302302302302302303302302303302302302302302302302302301302302302301301301302302303303303303303303303303304303303303303303304305305305305305305305305305305306306306306306306306306307307307307307307307307306306306306305306306305305305305305305305305305304304304304304304304304304304303304304304303303303303303303303303303303303303302303303303303303303303303303303303304304303304303304303303304305305305305304304305304304305304304303304303303302302301301301301301300300300300300300300301301301300300301301300299299299299299299299299299299298299299299299299299299299299299300299299300299299299300299299299299299299299299299299301300299299300300300300300299300300300301301300301301300299298299299298298298298297298298298297297296296296296295296295295295295295295295295295295295296295295295295295294294293293292291291291291291290290291290291291291291291290291291290290290291290290290290290291291290290290290291291291291291291291291291291290291291291291291291291291290290290290290291291291291291291290291290290290290290290289289289289290290290290290291291291291292292292291292292292291292291292291292291291291292292292292292292292292292292291291290290291290290291291291291291290290290291291290290291291290290290290290290290291290290290290289289289288288288287288288288288287288287287287287287287287287287287287287287287288287288287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300300299301303301301303303303303303302302302302302301300301299299298297295296295297295295294293292292293293293294294294294294293293293294295294295294295294295296295296296296294294293294294294293293294294295296294295296296296297298297297297296296300298297297297295296299301306307301301299295295297298297297299299299301304301299298999999999999999999999999999999999999999999999296296293295294297297296296295294294293297297294297297296298295296296294296294295295292295296292294293293295295296296297296297295295295296296295295294295295296296297295295295294294294296296295297294296295296295298297298299299299299300300301298298298299298299300300299300298298298296298300298297299299299299298296299299300300299299298299301300300301301300301299300299299299299299300300299299299301301301302301300301301301301302302301302303303302302303303303303303303302302303302301301302302303302302302302302302303303303303303303303303303303303303304304304305305305305305305305305305305306306306306306306306306306307307307307307307306306306306306306306306305305305305305305305305305304304304305304304304304304304304304304304304303303302303303303303303303303303302302302303303303303303303303303304304304304304304304303304304305305305304304304304305304305305303303304302303302302302301301300300301300300301300300300301300300300301301300300299300300300299299299299300300300299300299299299300299300300300300300299299299299299299299298299298300300300299299298300299299299300299299300300300300300300300301301300301301300299299299298298298298297297297297296296296296296296295295295295295294295295294294295295295296295295295294294293293293292291292291291290290290290290290290290290291290290290290290290290290290290290290290290291291290290290290291291290291291291290291291290291290290291290291291290290290290290290290290289291291291290290290290290290289289289289289289290290290291291291291291292292292292291292292291292292292292291292292292291292292293292292292292292292292291291290291291291291291291291291290291290290291291291290291291291290290290291291290291290290290289289289288288288288288288288288287288287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299298300300300303304302302303303302302301301301300299299298297298297296296297296293294292293293293293294293293294295295295295295294295295295294295296296296296295296297297295296294293294293293293293294295297296295298297298298298297297295297297299298299298299299295297298301302302304298298297297298297296297297298300302301301297298999999999999999999999999999999999999999999293295293295296297299296294292293293300298297297295295296296297298295295296295292293296293291292293291294294294295300297297296295292293296293295297296295294295295297297296295294295294297293295296297294295297295297298298298297298299298300300298298296299298300301301300298297298298296295297298298299298298298299298298299300299301302300299300300300301301301300299298297299299299299301301302300299301301302301301301300301302302302302302301302303303303303303303303302302302302302302302302301302302302302303303303303303303303303303303303303303303304304304304304305305304305305305305305305305306306306306306306306307307307307307307307307307306306306306306306306306306305305305305305305305305305304304304304304304304304304304304304304303302302304303303303302302302303302303303303302303303303303303302303303304304304304304304304304304305305304304305304304305304303303303303302302302302302301301301300300300300300300300300300300300300300300300300300300299300299299299299299300299299299299299299300300299299300300300300300299298298298298298298298299298299299298298298298297299299299298300300299299299299299299301301299300300298299299299298297297298297297297296296296296296295295295294294295294295295295294294295295295295294294294294293293292293292291291290290290291291290290290290290290290290290291290290289290290290289290290290290291290290290290291291290290291290291291291290290290290291290290291291291290290291290290290290291291291290290290290289290289289289289289289290290291291291291291292292292292292292291292292292292293293292292292292292292292292292292292292291292292291291290291291291291291291291291290291291291291291291291290290290290290290290290290290290290289289289288287288287288288287287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298300299300301302303304303302301301300301300300300298298297297295294296295295293292291291292292292292293292293294295295296295295293293294295294295296297297297296298298297296296295294294293294294296296296297295298297296299298298298296299299297299301300300300299298294294296297299305304301298299299299298297296298298301302302298298999999999999999999999999999999999999999999999293293295301300295295296291295294292297295296295297296295294296295297297298293292293291292296293293294294297296295296297296295295296295296297296295294294295296296297295293293294295296295294295295295295295296296297297296297298298297298297298296296297298300299298298297297299299298297300299298298297297300299298299300299300300298297298298300300300300300300298298298298300300301301299298299299299301301301300300301301301301301302301301302302302303302302302301302302301301302302302302301301301301302302302302303303302302303303303303303303303303304304304304304304304305305305305305305305305305305305306306306306307307307307307306307307306306306306306306305305305305305305305305305304304304304304304304304304303304304304304303302300999303303303303303302302302302302302302302302302302302302302302303303303304303303304303304303304304304304304304305304304303303302302302301302302302301301300300300300300300300300300300300300300300300299300300300300299300299299299299299299299299299299299299300300299300299299299299298298298298298298297298298298299299299299298298298299299299300300299299300299299298298298300299298299299298298298298298297298298297297297296296296296296296295295295295295295294295295295296295295295295294294294293293293293292292291291291290290291291291291290291290291290290291291290290290290291290290290291290291291290291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290291291290290290289289289290289289290290290291290290291291291291292292292292292292292292292292292292292292291291292291292292291292292292292292291291291290291290290290290290290290291291291291291290290290290290290290290290290290290290289289289289288288288288288288288288287288288287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297298298300301302303303303302301300301300300301300300299298297297296295294294292290290291291292292292291292293293294294295296295294293293293294296296296296296296297297297296296295295294293294297297297295295298298297298298297298298295298297296297297299299300300298297295298301301303298300299299299299297297295294297300299301300301299999999999999999999999999999999999999999999292297296296292293293294295298298295294296296297296297296295294294295296294290294293292293298293291295296297296295296296295295294293296296296296295296295295295295296296295293295295296296294294296297295294296296297295295296297296297297299300297297298294300298298297296296298298296296297299299298301298298299300299300299299298299298298299299299299301302301300299298299301300300299300299299300301300301300301300300301301301301301301300301302302303302302302302301301301302301301301301301301301301301301301302302302302302302302303303303303304303304304304304304304304304304304305305305305304305305305306306306306306307306306306307307307306306306306305305305305305305305305305304304304304304304304304304304303304303304303303303302300302303302302302302302302302302302302302302302302302302302303302302303303303303303303303303303303304304304304304303304303303303303302301301301301301301301300300300300300300300300300300300301300300300300300300300299299300299299298300300300299299299299299299300300300300300300299299298299298298298297298298298299299299299301300299300300300300300300299299299299299299299298299299299299299299299299299299298298298297298298297297297296296296296296295296296295295295295295296295296295295296294295295294293292293292292290292292292291291291290290290291290291290291291290290290290290290290290290290290289289290291291291291291290291291291291291291291291291291291291291291291291291290290290289290290290290290290289289289289290290290290291291291291292290291291291291291291291291291292292292292292292292292292291292292292292292292292292292292292291291291291291291291291291291290291291291291290290290290290290290290290290290290290289289289289288288287287287288287287288287287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296298300301301302302301301301300299300300299299298297297296295294294292291290290292291291291292292294294293294295295296296295293292293295296296295296296296296297296295296295295295295295297297296294295297298296296297295298299299297297297296296297300300299299299297299303302301296298298298298298297296296296298299300301299301296999999999999999999999999999999999999999999999296295999999291292291297292298295294293293297296295295294295293294293293289291290293293292293292295294297298297296295295295295297296296296295295293294294294295296296294294294295296296295296297294297294297297296296297295296297298296299298298297298298299298299299298297299299298298300299300299302299298300299299299298299300299301299300301300301301300300300301300300301302301301300299301301302303300300300300301301302301301301300301302302302303302302302302301301301301301301301301301301301301301301301302302302302303303303304303303304304304304304304304304305305304304305305304305304305305305305305306306305306306306306306306306306306306306305305305305305305305305305305305304305305305304304305304304304304304304304303303302301303303302302302302302302302302302302302302302302302302302303302303303303303303304303303303304304304304304303303303304304304302302302302302301301301301300300300300300300300300300300300301301301301301301301300301300300300300300299300300300300300300300300300299299299299299299299299299298298299298298298299298299299299299299299299299300300299299300299300299299300300299300300300299299299299299299299299298298298298298298297297297296296296296296296296296296296295294294296296296295295295294294293294294293292292292291291291291291290290290290290290290290291290290290290290291290291291290290290290290290290290290291291291291291291291291291290290290290291291291291292292291291290290290289290290290290290289289289289290290290291291291291291292291291291291292291291291292292291292292292291292292292292292291291291291291291291292291292291291291291291291291291291291290290290290290290290290290290290290290289290290289289290290289289289289288288287287287287287287287287287287287286286286287286286287287287287287287287287287287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296297299300301301300301301301301301300300298298296296296295294292292292290291291292291291292292292292293292294295296296296295294294294296296297297296296295296296295296295295295294294295297296295296295297297294295295298299299300299298296299298298298299299298297298300302302303296296297298298298297297298299301302301301299300296999999999999999999999999999999999999999999999295296294999291288293294297295294294294293294294294294293293293292293292292289292293293293293293293294297297297296292292294293295294295294294296293291291293294296296295295295295296295296296296295296297297296296297296295295296295296295297295297298298297296296294297298299298299300300301301299298297297299298301302301298301298301300301300300301302301301301299300299300300300301299300300301302301300301301301301302301301301301301301301302302301302302302302301301301301301301300301301301300301301301302301302302302303303303303303303304304304304304304305305305305305305305304304304304305305305305305305306306305305305305306306306306306306305305305305305305305305305305305305305305305305305305305304305304304304304303303303301302303302302302302302302302302302302302301301301301302302302302302302301303303303304303303303304303303304305304303304303303302303301301301301301301301300300300300300300300300300300301301301302301301301301301301301301300300299300300300300300300301301300300299299299299299299299299299298298298298298298298298298298298299299298298298298299299299298299298299299299299299299300300300299299299300299299299298298298298298298298297297297296296296296296296296295295295295295295295295295295294294294294294294293293292292292291291292291291291291291291291291290290291291291291291291291291291291291291290290290290290290290291290291291291291291291291290290290290290291291291291291291291291290290289289289289289289289289289289290290290291291291291292292291291291291291293291291291291291292292292292292292292292291291291291291291292292291291291291291291290291290290291291291290290289290290290290290290290290290289290290290290289290289289289288288288287287287287287286287287287287287286286286286286287287287287287287287287287287287287286287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295297299300300301300299299300300300300300298297297296295294294291291290290290290290292291291291292292293293294294296296295296296296296296295298298297297296295294293295295296295292294295295295295296296295295296297298297297298299298298297297297297298299299298298298298301303303295295295296297298296295299298300299301301300299295295295999999290300297999999999999999999999999999291287999293294289292290295295292295297296297296296294291291291292295295295295293294293294294294294295297297296296297297295298295298295295289291293290294295297296295295295295295295295296296295296296295294294295294296297298297298298297296296297300296297296294298297298299299299301298300303299300299300300298298301298298298300301301300300301302302300300299300299298301302302301300299300301300301300301302302301301301301301301300301302301302302301302302301301301301300300300300300301300300300301302302302302303303302302303303303303303303304304304304304304304304304304304304304304304304304304304305305305305305305305305306306306305305305305305304305305305305305305305305304305305304304304304304304304304303303303303303302303303302302302301301301301301301301301301301301301301302302302302302302303303303303303303303303303303303304304304303303303302302302301301301301301301300300300301301300300300300301301302302301301301301301301301301301301300300300300300299300300300300299299299299299299300300300299299299299298299299298298298298298299299298299298299299299298299299299299299299299300299299300301301300300299299299299298298298298298298298298298298297297297296296296296295296295295295295295295295295295294295293294293293293292292291291291291291291291290291291291291291290291291291291291291290290290291291291291290290290290290290290290290290291291291291291291290290289290289290290290290290290290290290289289290289289289289289289289289289290290290291291291291292292292292292293292291291291291292291291292292291292291291291291291291291291292291292291291291290290291290290290290290290290290290290290290290290290290290290290290289289290290289289289288288288288287287287287288287288287288287286287286286287287287288287287287287287287287287286286286286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295298300301301302301299299300300300300300299299297296294294295292294291290290291289290290289292293294294294295295296294296297296296296296296297298297296296296294295295295297295296297296296295294295295294294294297297292297298299298298297295296297298297299298298298302301302302295295295296296295297295296297298298299297298298296296295999999999298299294999999999999999999999293294293999299292294301294295295291299298298297295295292294291291290293295294295294294295295294295294296295294295295295297296295295295295294296295296293295295295296296296296296295294294294295294295294293294295296296296296297298297298295296298300298298298299299298298298299300298295303299296297297297299301299299300300299301300301301300301300302302302302300300299300301300299301299299299300300301302303303303302302302300301301301301302301301302302302302301301301301301300301300301300300301301302301302302303303303302303303303303304304304304304304304304304304305304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305304304305304304304304304304304304303303303303303303303302303302302302301301301301301301301301301301302302302302303302302303303303303303304304303303304304304304304304304303303303302302302301301301301300300300301301301301300300301301302302302302302302302302302302302302301301300301301300300300300301300299299299299299299299300300301298299298298298298299298298299299299299299298299298299298298299299299299299299300300299298300301301300300299299299298298298298298298298297298298298297297297297297296296296296296296295296296295295294295294294294293293293292292291291291290291291291290290291290291290291290291291291291291291290290290290290291291289289290290290290290290290291291291290290290290290290290290289290290290290290290290290290289290290290289290289290288289289290290290290290290291291292292292292292293292292292291292292291291291292291291291292291292292292291292292292292292291291291291290291290290290290290290290291290290290290290290290290290290290290290290290289289288288288288287288287287287287287287287287286286287287287287287288288287287287287287287286286286286286286287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298299301302301300299298299298300300299299298297296295295294293292291291291290290291290289291293294295294295296296295297297297297296297297296298297296295295294295297297297297296294296297297295295295296294296297296297296297298299298296297293294297297298297298299300298303303295295295293294294296295298295293298297298297296296297297294999999300299294296999999999999999999295295297294293293296296295294293292299298295296293292291292292292292292295295294293295295296297292294294295294295297295296298297297297293295297297297294294296296297296297295295295295295295295294296294295295295295296296295296295295297296296298300298297300300299298297298299299297298299297295295297298300298298298299299299300301301302301301300302302303300298301301301300300300301298299298298299302303303303303303303302301301301301301301301301301301301301301301301300300300300300301299300300301301301302302302302302302302303303303303304304304303304304303303303304304304303303304304304304303303303304304304304304304305305306305305304304305304304305305305305305305305305305304304304304303303304304304303304303303303303303302302302302302301301301301301301301301301301301301302302301302302302302303302303303303303304303303304303303304304303303303303303303302302301301301301300300300301301301301301301301302302302302303303303303303302302302301301301300300300300300300300299299299299299299299299299299299299299299299298298298298299298299298299298298298298299298298298299299298298299299299300300300300301301301300299299299298298298298298298298297298297297297297297296296296296296296296296296296295295295295295295295294293293293292292291291290290291291290291291291290291290290290291291291291291291291290291291291291291290289289290290290290290290291291290290290290290290291291291290290290290290290290290290290290290290290290290290289289290290290290290290290291291291292292292292292292292292292292292292292292292292292292291291291292292292292292292292292292291291290290290290290289290290290290290290290290290289290290290290290289290290290289289289288288288288287287287287287287287287287286286286286286287287287287287287287287287287286287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295297299300300300299298298298298298299299297297296295294293294291291292291291290291290290290291292294295295295295296296297297297297297295296299298298296296296294297296296292296296297297296296296296296297295298297297297297297298299298298297297296298300299298296299300300299296295295295292294294295295296295296293295296296296295297297295999999301302296999999999999999999999294294296296293296297301300297296296296298299298293294288291292292290292292295295295294295297296294294295296292295295296297297297298297296296294296295295295296296297297295296296295295295295296295295296296295295295295295295295295295297296298298298297300296298299299300297299300295301297296296295299305300298298301299300300301300301301301302302302303303302302302301301301301301301300299301301301302304304303303303302302302301301301302302301302302301300300301300299299300300300300300300300301301301301302302302302302302303303304304304304304303303304303303303303303304303303303303303303303303303303304304303303304304304305305305304304304304304304305305305305305305305305305304304304303303303304304304303303303303303302302302302302302302301301301301301301301300300301301301302302302302302302302302303303302303303303303303303303303303303303303303303302303303303302301301301301301301301301301301302302302302302303302303303303303303303302302301301300300300300299300300300299300299300299299300300299300299300300300299298298299299299299300299299299299298298298298298298298299299298299299299299299299301301301301300299300300299298298298298298297297297297297297297296296296296296296296296296295295295295294295294295295294293293292292292291292291291291291291291291291291290290290291291291291291291291291291291291291290291290290290290290290290290290291290290290291291291291291291291290291291291290290290289289290290290290290290290289289289290290290290290290290290291290292291292292292292292292292292292292292291291292291292292292291291291291291291291291292291291291291290290290290289289290289289289290290290290290290290290290289289290290289289289289288288288288287287288287287286287286286286286286286286286286286286286287286286287286286286286286286286286285286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294297298299299299299298298298298299299298297296295295294294293292291292291292291290289290289289292293294295295296296297297297297297297294296299296297297294294294294294294293294295296297296297295296294298298297296298298296297298298298298297297297298299298298297298299296297295295295294290293293295296296294297296297295295294295297295296297295295297999999999999999999999999999299296300298297297300297297297296296296294296295291292292292292292292293293295296295296296297296296295297296296296297296297298298298297296296296296296296296295296297297296296297295295295295295295294296295296296296296296296296296297297298297298295296298300298299298298301299298298295296297297297298299299300300299300300302300301302303302303303303303303302301301301301302300300299299300302302303303303302303303302302301301302301301302302302301300300300300300300300300300300300300300300301301301301301302302302303303303303304304304304304304303303303303303303303303303303303303303303303302302302303303303303303304304304304304304304304304304305305305305305305305305305304304304303303303303303304304303303303302302302302302302302303302301301301300300300300300300301301301301301302302301302302302302302302302302303303302303302303303303304303303303302302302302302301301302301301301302302301302302302303302302303303303303303303303303302302301301300300300299299299299300300300300299299300300301300300301300300300300299298299301300300300300299300299299298298298298298299299300299299299300299300300300300301301301301300299299299299299298298298297297298298297297297296297297296296296296295295295295295296295295294294294293293292292292292292291291291291291291290290290290289291291291291291290291290291291290290291291290289289290290290290290290290291290290291291291291291291290290290290290290290290290289289289289289289289289289289289289290289290290290290291290291291291291292292292291292292292292292292292291291291291292292291291292291291291291291290291290291290290290290290289289289289289289289289289289289289289289289289289289289289288289288288288287287287287287287287286286286286286286286286286286286286287287287287287287287287287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295297298298298298297297296297297298297296295294293293292291290291290289291290289290290289291290292292293295296296296297296297297295297298297296297296295295295295295294294294294294295295295296296296297298297297296298297295298299297298297298298299298297297298297298297293294293293294291292294295295295296296297296297294295295295295296298295294999999999999999999999999999999296298303297297297296999999999999297297299290292294292292292294292290291295294294294296297297297294294295296296297297297297298296297295296296297296296296296294295296296295294296295294295294294294294295296297297297296297298298297298298297293297295297297297297300299299299298302301297300297297297297298300300300300301300302301302302302303303303303303303302302302301301300301301299300302302303302303303303302303302302302302302301301302302302302300300301300300300299299299299300300301301301302302302302302302302302303303303304304305305304304303303303303303303303304303304303303303303302303303303303303303303303304304304305304305304304305305305305305305305305305305305305304304304304304304304304303303303303302302303302302302303303302301300301300300300300300300301301301302302302301302302302302302302302302302302302303303303302303303303304303303302302302303302302301301302302302301302301302302303303302302303303303303303303303303302302301301301300300299300300300300300300300300300300300300300300301300300300300300300301300300301301300299299298299298298298298298300299299299300300299299300300299299301301300300300298299299298298298298298297297297298298297297296296296297296296295296295295295295295295294294294294293293292292292292291291291291291291290290290290290290290290290290290290290290291291290291290291290289290290290290290289289290290290290290290291291291290289290290290291290290290290290290289289289289289289289289289289290290289289290289290290290290290291291291291291291292291292291291291291291291291291292291290292291291290290290290289290290290289290290291289288289289289289289289289290290290289290290289289289289289290289289288288288287287287287286286286286286286286286286286286286286287287287287287287287287287286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294297298298298298297297297297297298296295295294294293291291291291291290291290290290289290289288290291292292293294297296296297299298298298296296297296294295294293294292294293293291293294296294296296297298296297297297297296297297298298297298297297296296296297295294296297292294293293294295295295295295295295295295295296298297296296295297286999999999999999999999999999999999296294296296296297999999999999999999297294292292293294293294294292290291294292294294294292294292293294294296296296295296297296295296296295295296295296296294293293295295295294293296297296295296296296294296298298298297297297297296299297297296296299298296298298297298298299297302302302301299298295295298300300300301301301301300301301302301302302302303302301301301301301299300299302302303303302303302302302302302303301302302302301301301302302300300299300299300300300300300300299300301301301301301302302302302302302303303304304304304304303304304304303303304303303303303304303303303302302303303303303303303303303304304304304304304304304305304304305305305305305305305304304304304304304304304303303303303303303300301302301301301301301301301301300300300300300300300301302301301301301301301301301301302302302302302302302302302302302302302302302302302302301302302302302302302302301302302302302301302302302302302303302302302302303303302302302301301300300300299300300299300300299300300300300299300300300300300300300300299300299299300300300299299299298298298298298298298298298298298299299299299299300299300301301301300299299298298299298298298298297297297298298297297297296296296296296295295295294295295295294294294294294293293293292292292292291291291291291290290290290290290290290290290290290290290290290290290290290289289289289289289289288289289289289289289290290290290290289289289289289289289289289289289289289288289289289288288288289289290289289289290290290290291291291291292291292292292292292292292291292292292292292291291291291291291291290290290290291290290290290290291289290289289290290290289289289289289289290289289289289290290289289288288288288287287287287287287287286286286286286286286286286286287287287287286287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294296297297297298298296298297298298297293294294294292290291291291291291291290289289289291290289289289292290291292294294298298298298298297297297297295296297296296295294295295295294293293294295295296296297296298298298300299298297297298297295297296294296297295294293297291292294295292292294293295295295294294295295295294294295297296294292293999999999999999999999999999999999999296296295298999999999999999999999999297292293293293293292293292290287291291291291291293293291293294295294295295296295296296296295296294294295295296295293295293291292294294295297300296297300298296297298298298298298297298298296297297299299296299296295296298296297298298299301301302298297296298299299299301301301301300301300301302302302303303304303302301300301301300300302302303304304305303303301301302301302303301302301301301301301301300299300300299300300301301300300299299300300301301301301302302302302302303303303304304304304304304304303303303303303303303303303303303303303302303302302303302302303303303304304304304304304304305304304305305305305304304304304304304304304303303303303303303302303302303302302301301301300300300300301301301300300300300300301301301301301301301301301300300301302302302301301301302302302302302302302302302302301301301301302302302301301301301301301302302302302301302302302302302302302302303302302303302301301300300299300300300299300300300299300300299299299299299300299300300299299299299300300300299298298299298298298298298298298298298298299299299299299300300299299299299299299299299299299298298298297297297297297297297297297297296296296295295295294294294294294294294294294294293293292292292292292291290290290290290290290290290290290290289290290290290290290291290291290290290290290290290290290290289289289290290290289290289289290290290290290290290289289290290289289289289289289289289289289289290289289289290290290291291291291291291292292292292292292292293291291292293292292292292291291291291291291291290291291290291290290291290290290290290290291290290289289289289289289289289289289289290290289289288288288287287287287287287286287286286286286286286286286286286286286286287286286286286286286286286285285285285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285289294296297297298299299298297298298297294295293292292292290290290291290290291289290289289290290288289290290292290291292297297298298299298297297296295296296296296296295295296296294293295293293295294295297297298298298300299299298298300300299299296295297294292291294293293290292290290291294294294292297295295295295296296296301299297295293291999999999999999999999999999999999999999999298298999999999999999999999999999294293999294293295292290289291999999288291290292292293292294294292294295296295294294295295295292293295295295294294288289295293289295296297300296298300295299297295297299297297298298298297298300296301299298295295296297298298297298300299299297295298297300299297298300300300300300300300300301302301302302303301300300300299300300301301302304303304303304302301300301302301300300300300301301301301300300299299300300299300300300300299299299300300300301300301302302301302303302303303303303303303304303303303303303303303303303303303302303303302302302302302303302302302302303303304303304304304304304304304304304305304304304304304304304304304303303303303302302302302302302301301301300300300300299300300300300299299299300300300300300300300300300300300300300300301301301301301301301301301301300301301301301300300301301301301301301300301300300300300301301301301301301301301301301301301301301302302301301301300300300299299300299300300300300299299300299299299299298299299299299298299298298299299299299296297298298298298299298298298298297298299299299299300301300299300299300299299299299299299299298298298298298297298297297297297297297296296296296295295295295295295295294294294294294293294293293293292291291291291291291291290291290290290290290290290290290290290290290290290290290290290290290290290290289290290290290290290290290290290290289290290290290290290290290289289289289289290290289289290290290290290290290290291291291291292292292292292292292292292292292292292292292292292291291291291291291291290290290290290290290290289290290290290290290290290290290290289289289289289289289289289289289289288288288288288287287287286287287287287287287286286286286286286286286286286286286286286286286286285286285285285285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288294297296297298299298298298298298298295295293294292292291290290291289290290291290289290290290290291289290291292292292294295296297298298297297296296295295296295296296295296300294295295295295295295295297298299298298299300299299298299300297299298297297293294293292290294292291290291291292292293294297296295295298297299298294298294295296290294291290999999999999999999298298295296999999999999999999300299999999999999298292999999999999999290288291999999999292290292293292294292293293293295295295295295295296295295294294291295293294295294294295291294299297296298295299299299299296298297296295297299298300300298296299299297295295295299298297298297299301301295297303302300300299297300300300300300300301301302302300300302301301300300300299300301301303304303304302303303303300300302305302300300300300301302302300300300299298299299299300300299300299299299299300300300301301302300302302303303304304303303303303304304303303303303303303303302302302302302302302302302302302303302302302303303304303303304303304304303304304304304304304303304304304304303304303303303302302302302302302302301301301301300300300300299299300300300300300300300300300300300301301300300300300301301301301301301301301302302301301300301301301301301301300301301301301301300300301301301301301301301301302302301301302301301301301301302302302302301300300300300300299300300300300300301300300299299299298298298299299299298298298298299299299299299298298297298298299299299299299299298298299300299299301300299300299299300300300300299300299300300299299298298298298298297298298298297297296296296295295295295295295295294295294294294294293293293293292292291290291291291291291291291291290290290290290290290290290290290290290290291290290290290290290290290290290290290290289290289290290290289289290289289289290290289289289289289290290290289290290290290290290290290291291291291291292292292292292292292292292292292292292292292292292292291291291290290290290290290290290289290290290290289290290290290290290290290289289289289289289289289289289289288288288288287287288287287287287287287287287287287286286286286286286286286286286286286286286286286286285285286285285285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290291294296298299299298298298298298298298297296295292292290290292291292291289290290291292291292292290290292292292292292293294295296298297297297297295294295297297294292296294296295296294295295295294294296297299297296299299299299297299299299297296296295294293295292291296297295294293294293294294295297296297295295295298298295999999293295296294294289295999999999999298300299293293298297999999999999296296296999999999303298999999999999999999292289999999999290292293293293293293293291294294295295296295296296298296296294292295295294294293297293295296296294294295298300298296297294296296295297297298298299299299298296296295295296298299301298298300299301301298296297297299298298297299299300300300301301302302300301300302302301300300300301300300304303304304302305303304305304303304303302300299301300301300300300300300299299299299300299300300299300299299300300301301302302303303303303304304304304304304304305305305304304304304303303303302302303302302303303302303302303303303303303304304303304304304304304304304304304304304304304304304304304304304304303302302302302302302302301301301301301301300300299299300299300300300300300300300301301301301301301300300300300301301302302302301301302301301301301301301301300300300301301301300301300301301301301301301301301301302302301302302302302302302302302302302302302302301301300300300299300299299299299300300301300300299299299299299299299298299298298299298298298298299299298298298299299299299299298299299299300300300299300300299300300299299300300300300299300300299299299299298298298298298298298298297297297296296296295295295295295295295295295294294294294293293293292292291291291291292291291291291291290290290290290290290290290290290290290290290290291290290290290290290290289290289289289290289290289290290289289289289289289289290289289289289290290290290290290290290290290290291291291292292292292292292292292292292292292292292292292292292291291291291291291291290290290290290290290289290290290290289290290290290289289289289289289289289288288289289288288288288287288287287287287287287287287287287287287287287287287286286287286286286286286286286286286286286286286285286285285285286286286285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292295296297298299299299298298297297298297296296295294293290292291292292289290290289293291291292290292292293293294295293291292294294296297298298297297296297298298297295295296289297297294294297297294296295297298298297298300300299298299299299298296296296295295295296293293294292291291293296298296296297297298297294296296291293290297296296294294295294292293999999302299300300296296297297296999999999297297295999999999999999999999293294295293291290999999999292291291292291293293292293294295295295296296295296297296296295295295293293294291294295293295295296297299299299299298296297296296297296296295296296297296297296295295296298298300300298297299300300302297299296296298298297298300300301300300301301302302300300301302301300300300303302303303302302303304304304304306305304306305303302301301301301300299300300301300300300300300299299300299301300299300300300302302302302302303303304304304304304305305305305305305305305303304303303303303303303303303302303303303302303303303303303304303303303304304304304304304304304304304304304304304304303304304304303302302302302302302302300300301301301300300300299299300299300300300300300299300300301301301301301300300300300301302302302301302302301301301301301300300301301301301301301302300301300300302301301301301301301301302301301301301301302302302302302302302302302301301300300300300300300299299299299299299300301299299299299299299299299298299298298298298298297298299299299299299299299299298299298299299299299300300299299299300300299300300300301300299299300299299299299299298298298298298298298297297297296296296296296296295295295295295295295294294294294293293293293292292292292291291291291291291290290290290290289290290290290290290290290290291291291291290290291290290290290290289289290289289290290290289290290290289289289290290289289290290290290290290290290290290291291291291291292292292292292292292292292292292292292292292291292292291291291291291291291291291291290290290290290290290289289289289290290289289288289289289289288289289288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286285285285285285286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289294297297298298298298298297297296296296296295296294294293293290289289291290291292288290290290290291292292293294293293292291294294295296297297297297297297296297297296295297296294294296294298296294293294294295300299300300301299299300299299297296295297295295296298294294294293295297296295297296296297296299298296295296297294295294296296295293293289292293293295298302299300296297297298299301999999999296297294999999999999999999294295294294294290999289293292292292293290294294294294294294295294295295295295294295295295294295294293294296298299296294296296298299299299298297298297298298298294296296296295297295295294294295294297298298297298296297298298303296298297298297299296299300300301300301302302302300301299302300301300301301299301303304302303302304304302303308304308308304303301301300300301300299300300300301300300299299299299299300300300300300300300301302302302303303303303303304304305305305305305306305305304304303303303303303303303303303302302303302302303303303303304303302303303304304304304304303304304303304303304304304304304304303303303303302302302303302300999299301301301300299299299299299299298299299300300299300300300300300301300300300300300301301302301301301302301301301300301300300300301300300301301301301300300300301301301301301301301301301301301302302301302302302302302302302302302301301301301300299299299299300299299299299299299299299299299299299299299299299298299299298298298298299299299299299300299299298298299298299299299300300299299300299300299300300299300300300300299299299300299299299298298298298298298297297297296296296295295295296295296296295295295295294294294294293293293293292292292292292292292291291291290290290290290290290290290290290290290290290290290291290290290290290290289289289289289289289289290289290289290290289289289289289289289290290290290290290290290290290290290291291291292292292291291291291292292292292292292292292291291291291291291291291291291291291291290290290291290290290290290290290289290289289288289289288288289289289288288288288288287288287287287287287286286286287287286287287287287287287287287287287287287287287286286286286286286286286285285285285285286285285285285285285286 999999297300297298301301301297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288292294295296297298298298297296296296295295295295295294293293291291290288290289291288289289290290291291290292295293293292292293295295296297296295297297296295294296295295296295294296295296297296294294292296298299297299300301298297299299298296296296298297296298298297296295295298298299296295295297298298299298298296295294293293297999999999999999999999291290296296299300295295999999999298300300999999296297299294294290999999999999999294293294293293293294293295291291292293294295295294296295294295294293294295296296296295296296294296297297299297295295297299298300298296297296298298296298296296295294295295296295296296294296298299298297294297298299298298298299297297295294295299300301302302301302303301300301302302300299300300300301302303303303304304304304304303304305305307304306303301301300301302302300300301302301301300300299299299299300301301301301300301301301303303303303303304304305305305305305305306305305305305305304304304304304303303303302302303303303303303303303303303303303303304304304304304303303304304304304304304304304304304304304303303303303303302301999299299301301300300299299299299299299299299299300299299300300300300300300300300300301301301301301301301301301301301301301301301301301301301300300300301301301301301301300300301301301301302302301301302302302302302302302302302302302301302301301301300300300299299299300299299299300299299299299298298299298299299299298299298299300299299299299299299300300299299299299298298299299299299299299300300300300300300300300300299299300299299299299299299299298298298298298298297297297297296296295295296296295295295295295295295295294294294294293293293293292293292292292292291291291291290291290290290290290291290290290290290290291290291291291290290290290289289289289289288289289289289289290290290290290289289289290290290290290290290290290290290290290290290291291291291292291292292292291292291292291291292291291291291291291291291291291291291291290290290290290290290289290290290290290290288289289289289289289289289289288288288287287287287287287287287287287287287287287286287287287287287287287287287287287287287286287286286286286286286286285285285285285285285285285285285285285 300298298297300300300300298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290285289293292293296296296297296296296295295295293292294294293291290291290288289290292291290289289290291293292293294294292292291293293292294295295296297297297295295295297299296297295295294294295296295294294295298298297297297298297298297298298297299299299299298299299297299294299299298297297295296295298295299299298297297298298294298296296999999999999999999999297294296297297294999999999299299300299999999296300295295294999999999999999302298296296294292293294293287291291294292294294294294294293294293293294294295295294295295294294293296298298297296295297298298297298294297298297298295297295296294294294294294295295296296295296297296297295296297299296297296299298297298298297298300301302302302302301301300302300302301300300299300305300302301302304304305305304302303304305305305304303303301302302302301301301301301300300299299298298299299300300301302301301301302301302303303303304304304305305305305305305305305305305305305304304304304304304303303303302303302302302302302302303303303303303303303304304303303303303304304304304304304304304304303304303303303303303302999999300300301301299300300299299299299299299298298298298299299300300300300301300299300300301300300300300301301301301300301301301301301301301301300301301300300300300300300300301300301301301302301302302302302302302302302302302302302301301301301301301301300300299299299300299299299300299299299299299299299299299299298298298300299299299297298298298298299299298298298298299298299298299298298299300299300299300300300300300299298299299298299299299299298298298298297297297297297297297297296296295296296296295296296296296296295295295294294294294293293293293292292292292291291291290290290290290291291290290291290290289291291291291291291291290290290290289289289288289289289289289289289289290290289289289289290290290290291290290290290290290290290290290291291291291291292292291292292292292291291291291291291291291291291290290291291291291290290290290290290290290290290289289290289289289288288289289288288288289288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286285285286285285285285285285285285285285285285285286 299301300298300299299299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281285290291292293294295295295295295295294294292290292292292291291291288289290291292290288290289292292292292293292292290290291292293293293294296296296296297296296297297297295295295296294296296295295294296293295298298299296300298297297298295299299300299298298299297295293300299299297296297297298298296297300299298301301301298295296293295999999999999999999999999298297297298290299999293293297298300999999297298297296294294999999999999999296297294296293292295293293292293293292294293294293294294293294294294294295295294295294294295296296299298296295296298296298298297296296297295295295296295294294294294293294292295296295296296296294295296297297299296299298299298296297298299299301300302303303303301301300300300301301299300299300299300301302302302304306305304303303305305303304303305305303301302302301300299301300299300299299299299299300300301301301300302302302303302303303303303304305305305305305305305305306305305305305305305305304304304304303303303302302303302302302303303304304303303303304304303303304303303304304304304304304304304304303303303303303303303303302301301301301300300300300300299299299299299298298298299299300300300301301301299299299300300299300300300300301301301301300300300300300300300300300300301300300300300300301300301301301301302302302302302303303303303303303302301301302302301301301301301301301300300300300299299299300299299299299299299299299299299299298298298299299299298297297299299299299298299297298298299298299298299298298298299299300300300300299299300299299299299299299299299299298298298298298298297297297297297296296296295296296296296296296296296295295295295294294294294293293293293293293292292292291291291291290291291290291290290290291291291291291291291291291291290290290290289289289288289289290289289289289290289289289289289289289289289291290291290290290291290290290290290290290291291291291291291291291291291291291290291290290291291290290290290290290290290290290290290289289289289289288289289289288288288289288288288288288288288288288288287287287287287288287287287287287287287287288287287287287287287287287287287287287287287287286286286286286285285285285285285285285285285285285285285285285285 999299299299300299299298293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280283287290290291293295295293292294294292291289289290291290290290286290289292294290290291291291292291291292293293291290292292292293295294295296296295296296296297297297297296295292293295296296295294294295294294298298298297297296298298297298299299299298298299297295292296298297297294293295299300294301296301301302304303297299298297294294295297999999999999999999296999297294292292294296293298298301300299298297295298294290999999999999999297297293296293292293293293293293292292292293294294294293294295295296295295295295294295295295297296296296297297297296297298298299298295295297295295295294293294296293294294294294294295297297296295296296297298297297302300299298295297298296300301301302302303301300301302302301300302301301302300300300302302301302304307303301303303303304302302302307306305305302301301299300301300299299300299299299299299300300300300301302302302302303303303304304304304304305305305305306306306306305306305305305305304304304303303303302302302303302303303303303303303304303303303303303303303303303304304304304304304305304304303303303303302303303303302302301301300300300300300300300299299299299299298298299299300299299300301300299298299300299299300300300300300300299300299300300300300300300300300299300301301300300300301302301302301302302302302303303303303303303303302302301301301302301301302302302301301301300300300299299299300300300299300299299299299299299299299298298299299299299298298298299299299299298298298299299299299299299298299298298299299299299299299300299299299298299299299299298298298298299298298298298297297297297296296296296296296296295296296296296295295295295295295294294294294294293293293293292292292292291291291291291291291291291291291290291291291291290291291291290290290290289289289289289289289289289290289289289289289289289289289290290291291290290290290291290290290290291291290291291291292291291291291291291291291291290290291291290290290290290290290290290290290289290289289289289289289289289288288288289288288288288288288288288288288287287287287287287287287286287286287287287287287287288287287287287288288288287287286286287286286286286286286285285285285285285285285285284284284284285285285285 999298299297298298295292298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280283288290290293295295295291291290290290289290290290289289289288287292286290291292293293290291291291292293292293291290291293293295296295295297296294296293294296296297295294297294292294296294295294295295295297296296297296296296298296298299300299300299297297291291291292299295292294293296300302297304299302303305305300297298298300297296297297999999999999999999999999302294296292295297295297299298298298303302300999291292999999999999999999999294295297293293293293293291291291291293293293294294295296297296295295294294294294294295296294296295298297296298298299297295299296295296295297297296296296297296296297295297296296296297296296295296296294294300301296298295295296296298300301302303302303301301302302303302302302302302300301300300302304302305305305303302302302302302301301304303303305305303301300300299300300300299299299299299298299300301300301301301302302302303304303304304304304305305305305306306307306306306306306306306305305304304304303303303303302302302302303303303303303304304303304303303303303303303304304304304304305305306305305304304304303303303303303302302301301301301301300300300299300299299299298299298299299299299300300299299299299300299299300301301300300300299300300300300300301299300300300301300300301301301301301301301302302302302302303303303303302303303303302302302301301302301302302301301302301301300300300300299299300300300300300300299299299298299299299299299299299299299299299298298299299298299298298299299299298298298298298298298298298298299299299298299299298297298299299298298298298298298298298297297297297297297296296296296296296295296295295296295295295295295295295295294294294294294293293293293293292292292292291291291291291291291291291291291291291291291291292291290291290290289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290291291291291292291291291291291291291291291290290290290290290291290290290290290290290289289289289289289289290289289289288288288288288288288288288288288288288288288287287287287287287287286287286286287287287287287287287286287287287288288288287288287286286286286286285285285285285285284285285285285284285285284285285285285285 999299298297298298295294298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283289291292293293294293292291290290288288288288286286286286285287286284284285289289287287290291293294292293290289287289293294295296295294296295294293292297296296296294296294295294295293294295294293294296296295296298298297298297296300301301300299300297299297297292300299297296296292299299302298305301303303302305299300296300298296295299300300999999999999999999999299290290294294296297296297299297297302301302299295290289285999999999999296999290292293293293292293289293291291292292292292292293293295295295294295293294295296296293294296296296296296298295295295297297296298295297298297297299298298299297298297295298298296296297297297296298297297301301299297296297295297299299298300303303303300300301300303303302302302301300301299301302302303303303305304303302303303303303302304306305305304301298300300300299299299299299299298299299300300301300299300301301301302302304303303304304304305305305305305306306306306306306306306305304304304303304302303302303302302302302302302303302303302302303302302302303304303303304305305304304305306305304305304304304303303303302302302302301301301301301301300299299299299299298298298298299299298299299298299300299300299299299299301301300300300300300300300300301300300300300300300300301301301302301301302302302302302302302302303303302303303302303302301301301301301301301301301301302302301301301300300299300300300300300300300300299300299299300299299299299299300300299299299299299299299299299299298299299299298297298297298298298299299299299299298298298298298298299299298298298298298298298298299297297297296296295294296296296296295295296296295295296296296296295295295295294294293293293293293293293292291292291291292291291291291291291291291291290291291291291291290291291291290289289289289289289290289289289289289289289289289289289290290290291290290290290290290290290291290291290291291291291291291291291291291291290290290290290290290290291291290290290290290290289289289289289289289289289289289289288288288288288288288288288288288288288288288287287287287287286287287286287287287287287287287287287287287287288288288287288288287286286286286286285285285285285285285285285285285285285285285285285285285 296299298297299295297298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289292295294294293293292291289288286286286285285285285284283284284286287288290286289290290293294291292290288290290292293294295296295294295296294296297297297296297291293295296294289291296295296294295296295294294295296296297299301304303302300298297297297295298292296301295299295293299302304303303302304300307303301301297295296293296297299299999999999999999999999293294291293294292292295296297297296298301294295296297289292293291285280294999291284294293293292293291292292292292291291292291292293294295296295295293295295297297295295296297296296295297292295296297297296297297299298298298300300299298297300299297296297296296295298297297297298298301298297297294297297299299299300301302303300300302301301302302302302302300300301300303302303304303303304303302303305305305303302303304304303302300302300299301299300299300299299300299299300299300300300300300301302302302304303303304304305305305305305306306306306306306306305305305304304304303303303303303303302302302302302302303303302303302302302302303304303304304304304305305305305305305305305305304304304303303303303302302302301301301301300300300299299299299298298298298298298299298298298299299300300300300299300300299300300300300300300300300300300300301300300300301301302302302302301302302303302302302302303302302302302303302302302301301301301302301301302301301301302302301301301300300300300300300300300300300300300300300300300300300300300300300299299299299300300299299299299299299299298298297298298298298298298299298299299297298298298297298298298298298298298298297298298297297296296296296296296296296296295295295296296295295296295296295295295295295294294294293293293293293292292292291291291291291291291292291291291291291290290290291291291291291290290290289289288289289289289289289289288288289289289289289289289290290289289289289290290290290291290290290290291291291291291290291291291291291291290290290290290290290290290290290290290289290289289289289289289289289289289289289289288288288288288289289288288289289288288288288287288289289287287287287286287287287287287287287287287288288288288287288287287287287286286286286285285285285284284285285285285285285285285285285285285285 297298297299299295295298293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289293293294294294294291291289287286287288287288287288288288286284285285287287289286291291286288288288293287288289291293294296296296296294297297295296298297296293293294294295294295295296295295295296298295296294294295294296298298299303301299298298298298297295295296301299296299302294298301298302302299296301305303297302299297294297298298297297999999999999999999999295295296293295297296296296296296297298296296295297298289291290290286999999999283291288291287290290290292290292293290290290290291291294294296298296293295296298293294298297296297296296294294293294295299297297302299299299299299300299299298299298299297298296295296298298297298298298298297297302296297298299298298299301302300302303300300301302302302302301301301302301301302304304303303302305304303305306304303304303303304300300300300298299300299300299299299299299298299300299300300300300300301301302303303303303304304305305305306306306306306306306305305305305305304304304303303304303303302302302302303303303303303302303302302302303303304304304304304305305306305306305306305304304304305305302302303303303303303302302302301300300300300299299299298297297298299298298298298298299299300300300301299300300300300301300301300300300300300300301301301300301301302302302302302302302303303303303302302303303302302303303302302302301301301301301301301302302301301302301301301301300300300301300300300300300300300301301300300300300301301301301300300300299300300300299299299298299299299298297297298298298298298298298298298298298298298298298298298298298298297297297297297298297297297296296296296296296296295295295295296296296296296296295296295294294295294294294294294293293293292292292292292292291292292292292292291292291291291291291292291291291291291290290289289289289289289289289289288288288288288289289289289289289289289289289289289289289290290290291291291290291291291291291291291291291291291290290290290290290290290290290290290290290290289289289289289289289289289289289289289288288288288289289289289289289288288288288288287287287287287287286287287287287287287287287287286288287287288288288288287287287287287286286286286285285285285285285285285285285285285285285285285285285 297298298297299296295298300999298301300999999999296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298291295296295294294293290288287287287288288289290290290288287290287285285286286291292293287287292287288288290289289290294295295295296296295296299296296298298297295295295293294294297297297296294295296297297296296296296296297296294299302298297298299300301301296295294298298298297300296296296298297300297299301304307297296300298297295296296294295297999999999999999999296297296293295295291291294296296301298298297297297297289290294290290279999999282290278285287287287287292291292292291292288293289292294295295297298295294296296298298298299298300298296294292293294295300297298300299299300299299299301300298298298297297297297296295297297297298298298297295296301297297297296295297298298300299300302300302302302302302301301302300301301301301303303303303303305304303304304303305303305303302302302301299299299300299299299299299299300299299299300301300300300301301302302302303303303304304305306306306306306306306305306305305305305304304304304303303303303303302302302302303303303303302302302302302303303304304304304305305305305306306306306306305304305304305305305303303303303303303303303302301301300300300299299299298297297297298298298298298298297298299300300300300299300300301300300300300300300300300301301301301301301301301301302302303302302303303303303302303302302302303302303303302302301301301300301301301302302301302302301301301301301300300300300300300300300301300301300300300301301301301301300301301299299300300299299299299299298298299298297297298298298298298298298298298298298298298297297298298298298298298297297298297296297297297296296296296296295295296296296296296296296296296296296296295295294294294294294293293293293293292292292292292292292292292292292292292291292291291290291292290290290291291291290289289289289289289289289288288288288288288288289289289289289290290290290289289289290290290290290290290291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289289289289289289289289288289289288288288288289289289289288288288288287287286287286287287286288287287287288287287288288288288288286287287287287287287287286286286286285286285285285285285285285285285285285285285285285285286 298301298297298297298298298297296297297298298299296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292294297297296294293289286287288288287288287289290290288289290290290290290293291292295292291293289289288290291290291292294294295294296295295295298299298297300300295295296296296295296297297295296297296297297296296296296294296295294297299296296297299300300301299297296296301300299299298299301301299297299299300302307303302302299297289291294295303296999999999999999999296297296293294999291293292290299294299301297301298292294293295999284280278999281280288289289290291292292999293292291292295290289294294294294294295293293294297294294294294294294299294295294294294295295296298299300298299299299298299299299298298299298298298298299298298299298299298296296295296296295298297297298298298299301301302300300302302302302302302305301302303303303304303302303304305305303304303304304305307306302303302301301301300299299298298300299300300299300301301301301300300301301301302302302302303303304305306306306306306306306306306304304304304303304304304303303303303302302302302302303303303303303302302303303303303304304305305305306306306305306307307307305306305305305305305305303304304303303302302302302302301301300300300298297297298296297297297297298298298298298299299299299299300300301301300301301300301300301301301302301301301301301302302301301302302302303302302302302302302302302302302302301301301301301300300301301302302302301302302302301301301301301301300300300300300300300300300300301301301301301301301300300300299300300299299300300299298299297298298297298298298298298298298298298298298298298297297297297298298298298297297298297297297296296296296296296297296296296296296296296296297296296296296296295294294294293293293293293293293293293293292293293293292292292292292292292292291291291290290289289290290291291291290289290289289289289289289288289288288289288289289289289289289289290290290290290290290290290290290290290291291291291291291291291291291291291291290291291290290290290290290290290290290290289289289289289289289289289289289289289289289290289288288288288289289289288289289288287287287287286287287287287287287287288286287288288288288288288287287287287287287287287286286286286286286286285285285286285286285285285285285285285285286 299299295295296296296296297296296296294298298298297296295297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297297294293288286287288288287287287288288289289289290290289291291289290286291293293292292289290289291293294294294294294295295295295294296297298298298299299298297295296296296296297297296295297297297297297297297296296295295295295289295296296297299299299299296297298300298299297299297297292295296296297293292297299301303299295293293291296297298296999999999999299298299300300296999295295297298999299300299298297300297999999293294999285287280278277999999999999999999999999999999292293291289292291294296295294293293293294294296295295296296298300296296295296296296296296299299299299299299299299299298299299298298299298298298299299298297299298298296297298297296296297297299299298299298299299300300300301302302302301303302302301302302302303304303303304305304304304304305304304306305304304303302301301301301300298299299299300300300301301301301301300300301300301302302303303303304304305306306306306306306306306305305304304305304304303303303303302302302302302303303303303303302302302302303303304304305306306306305306306306306307307307307306306306306306305305304304304304303303303303303302301301301300300299298298298298297297296296298298298298298299299299299299300300300301301301301301301301301302301302302301302301301302302301301301302302302303303302302302303302302302302302302301301301301301301300301301301302302302301302302302301301301301301300300301301300300300300300300300301301301301301301301300300300300300299299299300299299299299299298297297297297297297297297298298298298298298297297298297297298297297297296296297297296296296296295296296296296296296295296296295296297296296296296295295294294293293293293292293293293293293293293293293293292292292292292292292291291290290290289289290290290290290290290290289289289289289289289289289289289289289289289289289290290290290290290290290289289290290290290290290291291291291292291291292292291291291291291291291290290290290290290290291290290290290289289289289289289289289290290290290290290290289288289289289289289289289289288287287287287286286287287287287287287287287287287288288288287287287287287287287287287287287286286286286286286285286285286286286285285285285285285285285285286 296298297294296296296296296296294295296297296296296298296296296299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291295297296293289286285287286287288288288288289289289289288292292291292290290291290290294294292295292291293294293294294294294295296295296296297297298299296298297296295295297296296296299298296297296293296298297297297297297297295296294293293297299298298298297298299299299297296299301302301293294296296296297294296296298300305305296295295289295294299298291999999999291290298299298999999292292296297999999298298296298298298999999999290293287285283282285999999999999999999999999999999292292293293293290293292293292290294293297295296296296296297297297298298297297296297296297298299299299297299300300300299298298299299299298298298299298297297298299298298297297297296296296297298297298299296299299300299300300301302303302303301302302301301302303303303304305305304304303304304305305304303304305303302301302300300300300299299300300301301302302301301301300300300301301303303303303304304304305305305306306306306306306305305305305305305304303303303303302302302302302303303303303303302302303302302303304305305306306306306305305306308308308307307306306306306306306306304304304304304303303303302302301301300301301300300299299298298297297298298297297298298298299299299299300300301301301301301301301301301301302301302301301301301301302302301302302302303302302302302302303302302301301301301301301301301301301301301302301302302301301302302302301301301301301300301301301301301301301300301301301301301301301301301300300300300300299299299299299299299299299298298297297298297297297298298298298298298297297297297297298298297296296296296296297296296296296296295296296296296296295295295296295296296297296296295295294294293294293293293293293293293294293293293293292292292292292292292291291291290290290290290290290290290290290290289289288288289289289290289289289290290289289290289289290290290290290290290290290290290290290290290291291291292292292292292292292292292291291291291290290290290290290290290290290289289289289289289289289289289289289290290290289289290289288289289289289289289289288289288287287286286287287287287287287288287287287287288288288288288288288287287287287287287286286286286286286286285286286286286286286286286286285285285285285286 298297295297295295296297296295293293295296295294295295294296297296300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294296297295291288287286286287287288288288290290290290290289291291290290290291288291291292295294294292293291295293293294295293294295296295296296299300300293297296294296295296296297296297299299298291297296295296297297297297297297296295294294300300298298298297296299298298299300296300303302300300301296298300295295296297999307290295297292288293292299299292999999292293289295296298292289301297296299297295298298295298297999999999999999290287285288286291293999999999999999999999999999999293294294293290293292293294293295294294295296296297299298298298297298298297297296296297298299298299299298298299297299298298300299299299298299299299296298297298297298296296297297297296299298297297295295296299298299300299300300302302303302302302302302302303302303304305304303304304304305305305305304305303303301302301301301302299299300300300302302302302302300301300300300301302303303304304304305304305304305305306306306306306306305305305305304304303303303303303302302302302303303303303302302302303303303303303304304306306306306306308308308307307307306305306305305306306306305304304304304304303304303302301302301301301300300299299298298298298298298298298299300299299299299299300300300300301301302301301301301301301302302302302302302301302303302303302302302303303302302302303303302301301301302301300301301301301301301302301301302301301302302302302301301301301301301301301301301301301301301301301301301301301301300300300300300299299299299299298299299299299298298298298298298297298298299298298298298298297297297297298297297297296296297297296296297296297296296296296296296296296296296296296297297297297296295295294294293294293294294293293293292293292293293293293293292292292292291291290291291290290290289290290290290290290289289289288289289289290289289290290290290290290290291290290290290290290290290289290290290289290289290291291291291292292292292292292292292291291291291291290290290290290290290290290290290290289289289290290289289290290290290290290290289289289289289289289289289289289288288287286287287287287287287288288287287287288288288288288288288288288288287288288287287287286286286286286286286286286286286286286286286286286286286285286286 296298296300297296295295295295294294294296295295296294297297298296298300297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293295295294291287286286287287289289289290291290292291291290291290288288290290291291293293290293293293293293294294295296295295295296296296296296298297296296295293294295296297295294298297297298297292298296297297297298295295297298297295301295300300299299299297299298299297295296298296298302295302300303302300299298301298999999297296295299295294295293296297292293292290292292294295297298298298296295298294298298297300297999999296299999999999286287284288292999999999999999999999999999999999294294295293293292292292295294294294295296297299300299298297296296297298297296296296297298298299298297296296297297297298298298299300298298300299298297297296297297297297297297297297299298298296297295298299299299299300300301301301302302303302301302302301302303304303304303303305304304304305304304304302302302301301302301300299299300299300301302302302301301300300301301302302303304304304305304304305304304305306306306306305305305304304304303304303304303302302302303302304303304303303303303303304304304305304304305306306306306308308308308308307307306305305306305306305305305304304304304304304304303302302302301302302300300299298298298298298298298298298299299300300300300300300300301300301301302301301301301301302302302303302301302302302302302302302302302303302303302302303302302302301301302302301301301301301301301302302301301302302302302302301301302301301301301301301301301301301301301301301301301301301301300300300300300299299299299298298298299298298298298298298298298298298298298298298298298297297297298298298298297297297296297296296296296296296296296295295295296296296296296296296296296296296296294294294293292293293293292292292292292292292292293292292292292291291291292291290290290290289291290290290289290290290290289289288289289289290289290290291290290290291290290290290290290290290290290290290290290290290290291291291291292292292292292292292292292291291291291290290290290290290290290290290290290289289289289289290290290290290290290290290290289290289290289290290289289289289288287287288287287287286288288288288288287288288288288288288289288288288288288288288287287287286286286286286286286286286286286286286286287286286286286286286286 295295294294294295294295295293295294293295296296294293294293293295297999303300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292294294293289285286286287288289289289291291292291292291291293290287288292293295294295295291293294295292294293295295295295295295294297297295298297298296295293295296296296296296296297297297298298298297297296296296294295295296298301299299300302302298299302301300299300296295294295294295298296302298302301299299300301296295999999999297293290297298292294295288296292295294295295295295294296296298296297292299298295296294999296298297999999999999281283293292290295999999999999999999999999999296295294293293293291292295294294294295297298298298297297297295296297297297297296296297297297298297297296297297297297297299298298299298297299300297297297296296297297297296297297297297299296297297298296298299299300300301300300301302302302301301301301300302302303304304304303303303303303303302302302301301301301300301300301299301301300301301301303302302301302301301302302303304303303304305304305304304304305305305305305305305305304303303303303303303302302302302302302302303303303303303303304304304304305304304304305305306308308308308307308307306306305304304305305305305304304304304304304304304303303303302301300300300299300298298298298297298297298298299299299299300300299299300301300301301301301301301301302301301301302302301301302302302302302302302302303303302302302303302302301301301301301301301301301301301302302301301301301302302301301301301301301301301301301301301301301301301301300300302301301301301300300299300300299298299299298298298298298297298297298298298298298298298298298298298297297297298298298298298298297297296297297297296296297296296295295295295295295296296296296296296296296295295294293293293292292293293293292292292291292292292292292292292292292291291290290290290290290291291290290290289290291290289289289289288289289290290291291291291291291291291290290291290290290290290290291290290290290290290291291291291292292292292291292291291291291291291291290290290290290290290290290290290290290289289289289289290290290290290290289290290290289289289289289290290290290289289288287287287287287287288288288288288288288288289289289289289288288289288288289288287287287287287287287287287286286286286286286286286287287287286286286286286 296294295294294294296296295294295295294296296296296294294294291298295298296292296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286290293293292288286286287288289289290291291291291292293293292293293293290291289291287294294294293293294295295295296297296295295295295296298296297298299299294296298297296297296296296297297295296298297297295296297296297296295295296294300298298300300299298301301301298300296296297296296300295301302303304302298297295297293298302304298295294289295298300294292293298289288293297297290289294293295297297298300299296297297295293294294290294999999999282290293291291293297999999999999999999999296293296295293293293292293293294294294295298298299299297296296296296296296296297298297298297296296297297296297297297297298299299298299298297297299297294296296295297297297297295297297296296297297298300299299299300301300301300301300300300301300301300300300302301303304304303303302303302302302302302301301299300301299299298301298300300300301300302302302302302302302302303303303304304304305305306305305305305305305306306305306305304304303303303303303303302301301302302302302303303304303303304304304304304305305305305304305306306307308307307307307306306304304304305305304304305304304304304304303304303304302302302301300299299299299298298297297298298298299298299299300299300299299300301301301302301301301302302302301301301301301301301302301301302301302302302302302302303302303302302302301301301301301301301301301301302302302301301301301302301302302301301300301301301301301301301301301301301301301301301301301300300300300300299299299298298298298298298297298297298298298298298298298298298298298297298298298298299298298298298298298297297297297297297296296296295295295295295295295296296295295296295295295295294293293293293293292293293292292291292292292292292293292292292292291290290290290290289289291291290290290290290290290289290289289288289290290291292292291291292292292291291291291290290290290290290290292291291291291291291292291292292292292292292292292291291291291291290290290291291291290291291291291290290290290290290290290290290291290290290290291290290289289290290290290290289289289289287287287286287287287288288287288288288288289289289289289289288288288288288288288287287287287287287287286287286286287287287286287287287287287286286286286286 296294295294294295295295295296294295296297296296295295295296295295295295296294296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295289289291291289287286287287288288289290291292294293293294293291292292294295293294294295294294294290293292293294294295295293295294296296296296296296298299298298297299299296296296296296297297296297298297296296296297296297294296294301299299299299299299298297298300301299299298297299298298302296301301302298299297299298298295999298303300293293292295297299293290294299294288299291298290999292292294295295296292299298296295291294294294290291295291999286290289289292293294299999999999999999999297297297296295293294293293293294294294294298300299299296297296296296297297296297297297297297297296296297296297297297297297297298298298298298297297296297297298297298298297297297297296298298297298300301299299300301301300300300301300299300300301301300301301301303304303303302303303302302303303302302302301301301301300298300301299300300300300301302302302302300302302303303303304304304305305305306305306305306306306306306306306305304303303303302303303302302303302302301302303303305304304304304304305305305305305305305304304306306307306307307307307306305305304304305305304305305305305305304304303304304303303303302301301300300300299299299298297298299299299299300299300300299300300301301302302302302302302301302302301301302301301301302302301302302302302302303301302302302302303302302302302301301301301301301301301301301301301301302302301302302302302301301301302301301301301301301301301301301301302301301301301300300300300300299299299298298298297298298298298298298298298298298299298298298298298298298298298298299299298298299299298298297298298296297296297296295294295295295295295297296295296296296296295294294294293293293293292293293292292292292292293292292293292292293292291291291290290290290290290291290290289290290290289290290290290289290291290291291292292292292292292292292291291291290290290290290290291291291291291291291291291292292292292292292292291291291291291290290290290291291291291291291291290290290290290290290290290290291291290290290291290290290290290290290290290290290290289289287287287287287287287288288288288288288289289289289289289289289288288287288288288287287288287287287286287287287287287287287287287287287287287286286286287287 296294294293292294294293292294294294294294294294293294293290289287292293293292295301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288289289287287285286289288289289290292292292291293294294293295296295295296295295291294295294294292293297296295295296294294296296297295296296296298301298298298298299301298300296295296296296297298295298296295297295295295295293294293298298300300300298296297298298296298298298298298300300298296298296299298301300300301296999301298298297294296295296302301297297295295293295297295295293999999999294294296295295297295295294295298294293294294291290289287288292293295297297296295999999999999296291296295296295295294293295294295294296298299299299298297297296297296296296297296296297297298297296297297297297297297297298298298297298298298298295296297297298298298299298298297299300297298298300300300301301302301300300300300300300300300300300300301300301302303304302302303303303302302303303302302301301300300299299298300301300301301301301302302301301302302303303303304304304305305306306306306306306306307306306306306306305304303303303303303303302302302303302303303303304304304304304304305305305305306305305306305305305306306307307306306307306306305304305305305305305305305305305304303303303304302303303303302301301300300300300300299299298299299299300299300299300300301300301302302302302301302302302301301301301302302302301301302301302302302302302302302301301301302302302303302302302302302302302302302303302302302303302302302302302301302302301301302302301301301301301301301301301302301302302301302301300301300300300300299299299299299298298298299298298298298299298298299299299299299299299298299299299299299299299299298298298299298298296297297297297296296296296295295297295297296294296296295295295294293292293293293293293293292292292292293293292293293293292292292292292291289290289290290290291290291291290290290289290290290289290289291290291292292292293293292292292292292292291292291291291291291291291291291292291292292292292292292292292292291291291291291291291290290290290291291291291291291291291291290290290290291290291291290290291291290290290290290291291290290290290290289289287287287287287287287288288288288288288288288289289289289289289288288288287288288288287288288288288287287288287287287287287287287287287288287287287287286287287 298296297294295293293294294294295294294293293294291291291290290291294289294999295298301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288288288288287287287289290289291294294293292294293294295296297295296295295294294293294293293293294295296296294294294294295296295297296297298296297298300296301299296297297297294295296297297297297297291296296294296294295294295298293290299299302301299298298299299298301301299300297294299298296297297299300300300300300299298298300298300291288296297298300299300302300303302294299295296293999999999296296297295294297296293294294293294292291291290292292298298999296295297295295999999999999296296297295295296294294293293293295296295297298298298297297297297297298296296296296296296297296296296296296297296296296297298299299298298298297298296296296296297298297298299299298299298298298297299298299300301301302300300299300300300303302301301301301301302302304303303304303303303302303301302303301301301301300300300299300300299300302302302302302302301302303303304304305305306306305306307307307306307307307307306306306305305305304304304304303303303302303303302304304304303304304305305305305305305306306306306306306306306306306306306307307307306306306304305304305305305305305305306304304304303304303303303302302301301301301300300300300300299299299299300300300300300300301301301301301302302301302302302302301302302302302302302302301301302303302303302303302302301301302302304303303303303302303303302303303303303302303303303303303303302301302302302302302302301301301301301301301301301301302302301301301301301301301300300300299299299299299299298299299298299299298299299298298299299299299298299299299299299299299299299299298298297298297298298297297298297296297297296295296296296296296296297297296295295294295293293293293293293293293292292293293292293293292293293293293292292291291290291291291291290293293293291291291291290290291291291291291292292292292292292292292292293292292292292292291292291292291292291292291291292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290291291291290290290290290290289289288288287288288288288288288288288289289289289289289289290289289289288289288288288288288288288287288288287287287287287287287288288288288288288287287287287 295294294291294293293295296298295294295292293291291289291292292293295293292292298296297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287288289288288287287289291290290291292295296294294295295295295296295292295294292292290294295294291294294294294294296296295294296294297296297296297297298300296302298297297296297295294293296296299301296297296294295291291294296299294293298297296298300301301301300303299300302302302301300298300303300300298300303306308299295293299300300298299300292292296297297299301303303302299300299299297293999999999999296294999301293295295294294294294293292293293292293296297999999293298295999999999999999295296297296294294296295295296294295295296295296295297295297296296297298297299299297296298298297295297295296298296297298298299299299298299298298298297296297297298299298298298300299298299297297298300299301300300300300301301300300300301302303302300302302302303303303303303303304303302303303303302302302301301300301300300301302300301301302303302302302303302301303303304306305306306306305305307307306306307306307306306307306306306305305305305304303303302303303302303304303303304304304304305305305305306306306305306306307307307306307306306307307306307306305305305305305305305305306305305305304304304303303303303302302301302302301300300300300300298299299299299300300300301300301301300301301302302302302301302302302302302302302302302302302302303303303303302302301301301301302303303303303303303303303303303302302303303303303304303303303303302301301301301302302302302301301301301301301301301302301302301301301301301300301300300300300299299299299299298299299299299299299299299299299299299299299299299299299299299299299299299300298297298298299298298298298297298298297297297296296296296296296296297296296295295295297296295294294294294293293293293293294294293293293294293293292292291291291291290292292291292293293292291290291291291291291291291292292292292292291292292292292292293292292292292292292291292292291291291292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291292291291291291291291291290290291291291290291291290290290290290290290290289289288288288288288288288288288288289289289289289289289289289289289289289288288288288288288288288288288288287287287288288288288289289288288288287287287287 294294295294292293293294294292293291293294292292291293294291294293295295293296296294295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282285287288289288287287289291291292291293294295294293295295295295296295295294294293295295294293293293293294294294296297296296297297298297296295293298299298300298298298298297298296295295296297294298298297295294296291296293295298297296299299298297297299300302301302300301301303303303301301300301302301303303304302301303299296300299298299294296294295296295299298300299298298298296296294299298293999999999999999999999999999999295293293294293294294294294294294296999999295296294295999999999999999999292295295295296297296296294297295297299296296297296296296296296296297297297297297297297298296297296297296296296298297297299300299299297297298297297297298295298298298299299298298299299299299298300299300299301300300301301301299301301301302302302302302302303303303303304304304303303303303303303302302302302301302302301301300300300303303303303302303303301304303304304304306306306306305306306307307307306307306306307307307306306306306306305304304303304304303302303302304304304304304305305306306306306306306306306306307307307307307306307307307307307307307305304305305305306306305306305306304304305304304303303302302301301301301300300300300299300299300299299300300300301301301301301301301302302302302302301301302302303302302302302302302302303303303303303302301301302302302302302303302303303303303303303303302303302303303303303303303303303302301302301302301302302301301301301301301300301301301301301302301301301301300301300300300300299299299299298299299298298298299299299299299299298299300299299300299299299299299299299299298297298299298298298298298297297297297297296296296295296297296296296296296296295296297296295295295294294293294293293294294294294294294294294294293293292291291290291290292292293293292292291291292291291292291291292292292291292292291293292292292293293293293292292292292292292292292292292292292292292293293292292292292292292292292292291291291291291291291291291291291291292291291291291291291291291291292291291291291291290290290291290290290290291290290290290290290289289289289288288288288288288288288288289289289289289289288289289289289289289289289289288288288288288288287287287287287287287288288288288290288288288287287287288 293295296296296294294295293292293292292294293293293293293295293292293293295296296293293293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281286287288286287286286288290292291290292293293293292292294295295295295295295292290293294293293293294293295296296297297297297295297298298295296297298298300298297298297298298297296295295302297298297296299294295295292295293292296297299299298298298299299299299299302302300302301301302303302302301302303304306305304302304299303304304302296291295295298295295296296297299298295295293293291296296289999999999999999999999999999999293295294295294293295295294294296295999999295295295999999999999999999999999294294295292298294297296296297296297296295296297294296295296297297298296296296297297296296297298296297296297298298296298299300299298296298299298297297297297298300298299299299300300299299299301300298299299298301301301300299301301302302303301302301302302303303304304304304302301301302303303302303302302302300301301302299299300302303302302302302303304304304305304304305306306306306306306306307307307306306308308306306306306306305305305305304303303303304303303303302304304304304304305305305306307307307307306306306306307307308307307307307307307306306306305305305304306306306306305305305305305304304304303303302302302301301300299299299299299299300301300300300301300301301301301301302302302302302301301301302302302302302301302301302302302303304303303301302301302302303303303302302302303303304303303303303302303303303303303302303303303303302302302302302301302302301301301301301301302302301301301301301301301301301301300300300300299299299299298298299299299298298298299299298298299299299299299299300300300299299300299299299297298298299299299299299298297297298297296297297295296296296296296296296295295295296295296295295295294293294294294293293294294294293294294294293293292292291291292291291291294293292292292292292291292292292292292291291293292291292292293292292293292293293293293293293292292291292292292292292292292293292292292292292292292291291291291291291291291291291291291291291291292291291291291291291291291291291291291291290291290290290290290290290290290290290290289289289289287289289288288288288288288288288288288289289289289289290289289289289289289289289288288288288288288288288288288288287287287288288288289289289288288288287287287 295295296296297293295295294295293293293294295294292291294294295292292293295295294294292292297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285283283285287286286287286286288290291291294293293293293294293295295295294295293293290291293293294294294294294294295296296296297296296296297298297297298297298298299297298297296298298297301302297301298299297298297297295294295298297296297298299298298298299298298300295297297297297296297297298297296299302302304306304300999296297304305308305305303296294295295295297296293297293298295292288295295296999999999999999999999999999999999295294295296296298298296294297300299294999999999999999999301301999999999999294295296297297297295296298298298296296296297297298298298297300299298298298297296296297297298298296297297298298298297298298299298297296298298299299299299298298299300299299299300300300301300300299299298299299301301301300301301301302302302302301302302303303302302303304303302302301302303303303302302301301301301303301301299301301302301301303304303304305305305305305306306306307306307306307307307308307307308307306306306306305305305305304304304303304303303304304303303304303303304306305305306307307307308307306306306307307307307307307307307307306306306306305305307305306306306305305305305305304304303303303302302302302302300300300299299299300300301301301301301301300301301301301301301302302302301301302302302302302302301301302304303303303302302302302302303303303303304303303304302302303303304304303303303303303302303302303303303303303303303302302302302302301301301302302302303302302302302302301301301301301301301301301300300300299299299299299299299298298298299299299299298299299299300300300300300300300300300300300300299299298298299299299299298298296296296296298296296296296296296295295295295295295295295295295294294294294294294292293294294293294294294293293293292291291291291293294292292293294292292291291290291290292291291291291291292292291291292292292291292292292292291292292292292292292292292292292292292292292292292291291292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290289290290289290290289290289289288288288288288288288288289289289289289289289289289289289289289289289288288288288287288288288288287288288288288288288288288289289289288288288287287287 295295295295294297297297295297297294294294294294293293294292294293292295295296293293294295296999999999999295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288287284284284285286286285287287287288289291293293294295295293295293295295294296296295294292293293293293292293294294294295297296296297296297297297298297297298298299299300297295298297296296299298299303299298299299297298297295295299296296296295297297297298299298299299299295296296296298297298297297297297297301305301302299297999297297299305307300299299295293294293296296292299299298298300297297292291290999999999999999999999999999999296299302296300299301297296295299298298297999999999999999999294297999999999999295297298296294293296296297298297296296297298299297298297295297298297297297295296297299296296297298298298297298298298297298298298298297298298299299299299299298298299300299299300300299299301299300299299299300301300300301301301302302302302303302302302302303303304303304303302302303303303304303303304303301302301302301300299302301303303303304303303303304305304305305305306306307307308307307307307308307306307307306307306306305305305305305304304303303303303303304303304305304304305306307306307307307308308308307307306307307308308307307308307307306306305306306306306306306306306306306305305305305304303303302302302302302301300300300300300299300299300301301301301300301301301301301302302302302302301300301302301302301301302301301302302303304303302302302302301302303303304303303303303303303304304304304303303302302302302302302303303303303302302302302301301301301301301301302302301301301301301301300300300300300300300300300300299299299299299298298298298298298299299299299298298298299299299300300299299299298299299299299298298298298297298299299297297298297297297296297296297295295295294294295295295294295294294295294294293294294294293293293293293293293293293293293292292292291291291293293292292293293292292292292291291291291292291291292292291292292291291291292292292292292292291292292292292292292293293292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291290291291291291291291291291291291291290290291291291290291291292290289289290290290290289289289289289289288288288289288289289289289289289289289289290289289289288289288288289289288288288288288287287288287288288288288289289289289288287287287287 295294294295296295297297295295295293292294294294294294293294293293294294294294294294293295296999999999298298295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290289289286286284284285285285286288289289289291293293294294293292293295295296296295297295295294294293294294294293294294296297297296297297297297297298298298298298299297299295297299299298297296295298299299296296298297298297295293293294292294295294296296297297300299299301296296297296296298298297297298299302301303302301301299301999301298298302304299300302294302296296297301305307302300300300295294292292291287999999999999999999999999291289294299298298296296296295999302298298298999999999999999999294294294293292293294295296297294295296295294296296295294297298294297297298298296297297296296296297297297297297297299298298299299298300299297298297297298298299299299303299299298298298299299299300302300301299300299298299299300299298299299300301301300300301301301302302303302302302301303301302303302302301303302302303300301301301301301300299302302302301304303303303303303304303305305306306306306307307306306307307307307306306307307306305305305304304303303303303303303303303303304303304305304304305306307306306307307307308308307306305305305306307307307306306306306306306306306306305306306306306306305305304303304303303303302303303301300301300299300300300300299300299300300302300301300300301301301301301301301300300300301300301301301302301301301302301303303302301302302301301303303302303304304303303303303304303303303303303302302302301302302302302302302301301301301301301300301301301301301301301301301301300300300299299299300300299299299298299299299299298298298298298299298299299299299299299299299299300299299299299299299298299298298298298298297298298298298298297297297297297296297297297298295295294294294293294294294294294294294293294294294294293293293293294293293293293293294293293291291292291292293292292292292291292292292291292291291292292291291291291291291292291291291291292292292292291292291292292292292292292292292292292292293293292292292292293292292292291291291291291291291291291291291291291291291291290290290290291291291291291291291291291291291291290290290290291291292292292291290289290289290289289289289289289289289289289289290289289290289290289289290289289289289288289289289289289289288288288288287288288288288288288288288288289288287287288288 294295297296296296296296297297295293294295294294292292295294293295294296295293294293295296296999999999300303295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288287286286286285283284284284285286288288289289292293294295294294294295296296297296297296295295294295295294293294294294294296295297297297296297297297297297299298299298299299297298298297296297297296299295298298297297299299299297296293295292294296295296296299299301300301302297298298297297298298298297298302300299300303301300300999999298299302302305300303303299296293293296298300300303299298297295294294291293999999999999999999999297299295295999999300296296295296297999299299298299999298301999999999293295293292291290288289292295296295295296295296295296296296298296297297298297297299295295295297297298297297298298298298298298298298298298297301297298298299299300301299298298299298299299299300298301301300300299299300300300299299299300300301301300301300301302301301301302303302302303302303302302302302302302302301301301301302301301300300301302302302302303303303303303303305304305306305306305307306306306306306306306307306306307306306305305304304304304303303302303302303303303303303304304304304305305306306306307307307307306306307306305306306306306307307306306305306306307306305305306306306306306305304304304303303303303303302302302300300300299299300300299299299299301300301300301301301301301301301301301300300301301301300301301302302301301302301302302302302302302302301303303303302303304304303303302303303303303303303302302302302301302302302301302300301301301301301300301301301301301300301301301301300300299299299299299299299298299298298297299299299299298298298298298298298299298299299298298298300300299299299299299298298298299298298298297297297298297298297297297296296296297297297297296295295294294294294294294294294294294294293293294294294294294293294294293293293293293293293292292292291291291292292292291291291292292291292292292292292292291291291291291291291291291290291291292292292292291292292292292292292292292293292292292293293293293293293293293292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291290291291290291291291292292292291290289289289289289289289289289288289289289289289289289289290290290290290289289289289288288289289288289288288288287287287288288288288288288288288288288287287288288288 296296295295298299297296297296296294294296298297292294294292293297295293292294294295296296293296297298297299295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283283285285285285285284283282281282284284286286288288289291293293293294294295294295295297293297294294295294294294293293294295295296296295296296296296295297297297297299299298297297297297299298298297298296296296296296298297297297298298296294295295291295294296297297299300301303302301299299300300298297297298299299302300300299300300299301303999304297301305307309303304295295295295297297298299298301298297297296295294293999999999999999999999299300297999999999999999294294295296999299299298298298298299999999999295295294293291289289289290293295294296296296295295297297297297297296297298296297297296296297296296297296298298298299298299298297298296297297301301297297299299301300299298299300300302299299300300300301300300300300298300299298299299299300300300301301301301301302302302301302303302302303302302302302301302302302301301302302303302301301302302302303303303303302303304304303303305307305305305305305305305305305305305306306306307307307306305305305304304304304303303303304303305305304303304304305304304305306306307307307307307306306308307306306306306306307307306306306306306306306306306305305306306306305304304303303303303302303302302301301301300299299300299299299299300300301300300301301300300300301301301301300300301301300300300301301302303302302301301302301301301301301300303304303303304304303303304304304304303303303303303303303302301302302302301301301301301301301301301301301301301301301301301300300300299299299298298299299299298298298297298298298298299298298298298298299298298298298298298298299300300299299299299299298298298298298298297297296297296297298297297297297297297297296296296296295294294294294294294294294294294294294293294294294294294294294294293293294294293294293293293293292291291292292292292292292291291292291292292292293292292292292292292292291292292291291291291291292292292292292292292292292292293293293293293292293292293293292292293293293293292292292292292291291291291291291291291291290291291291291290290291291291291291291290291291291290290289290290290291291293292291291291290289289290289289289289289289290289289289289290290290290290290289290290289289288289289289289288289289289288288287288288288288288288288288288288288287288287288287 297298297296299298297295297300298298300297299298297297295294296296296296292295296297297297297293295295295294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286286287287287287286286284282282281285284286287287288289291291293293293294295293294296296295296295296296295294293294294293295294295295295296296295296296296297297296296296298296296297298298298298297298298297297301299296298297297295295295293291290295293293294295298300301299300301295297298299298299298298300301305305302303303300301304302999999999301304306307308306296297297296298298297296297303301297297297296295295999999999999999999999294298298296999999999999999291293297999999298298298296297298299299999999294292291292292289290291290291295295297297296297297297297295298297297298297297297298297297298297297298298297298298299298298298299298298298297298298298299299298301300299300301300300300299300300300300300299299300300299298298299299299300301300300301301301301301302301301302302302302302303302302302302302303303302302302301302303303302301301302305304303302303304304304303304302305306306306306303304304305305305304305306306306306306305305305305305305304304303304303304305304304306305305304305304305305306307307307306307307306307307307307307306306306307306307306306306306306306307306305304305305305305305304304304303303303302301302302303302302300300299300298299300299300301300301301300300300301300300300300300300299300300301300300300302302301301301302301302301302301301302301302304304304303304304303304304304305304304304304303302302302302302302302301301301301301301301301301301301300301300300301300300300299300298298299299298299299299298297298298298298298298298298298298298298298299299299298298298299300299299299299299298298298298298298297296297296297297297298296296296296296296296296296295294295294294294294294294294294294294294294294294294295295295294294294294294294293293292292293293292292292291291291292292292292291291291292291291292292291291291291291291291291291291291290290291291291292292292292292292292292292292292292293292292293293293292293292293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291290292291290290290291291292292292292291290290289289289289289289289289290290290290290290290290290290290290290290289290289289289289290289289289289288288288288288288288288288288288288288288288288288288288 297296298297297298299295299300298297299299298299298298297297297298299298297295295296295296295295295293295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290287288290290291291290288287287285286285284285286287287288289291291293292292292293294296295296296297296296296294295294295296295295295296296296296296296297297298298298296295296297297296296298298298299300302301300297296298295295297296294293292293292295296297296297296301300300300300295296297298299298299299299302305307300299306306305303304302999999999301304304305298298295297297298299299298298296302293294297295295295296295999999299298296999999295294999999999999999999293295297999999296298297297297296297298999999999292293291291291291291291293294293295296296297295296296296296297298296296296297297297298297298297297298298298298299298298298298298297299299298299298299299301300298300300300300301300300300299298300299300299301300300299299299300299299300300300301301301300300300301301302303302302301302301302302302302303303301302301302303302303301302302303303303303303304304303304304303302304305305306304304304304305305305304305305305306305306305305304304304304304303304303302304305305304305305305304304304304305306307307306307306307307307305306307308307307306306307307306306305306306306306307306305305304305305305304304304304303303302302303303303302302301300301300300299300299300300300298301301301300300300299300301301300299301300300300301301301302302302301301301302301300301302303302302303303303303303303303304303303303304304304303303302302302302302302302301301301301301301300300300300299299300300300300299299299299298298298299298298298299298298298297297298298298298298297298298298297298298298298298298298298298298298299298298298297297297297296296296296296297297296296295295294295295295295295294294294294294294294294294293293293293294294294294293294294294295294295294294294294293292292292292293292292292291291291290292292291291291291291291291293293291291291291291291291291291291291291291291291291291291292291291292292292292292293292292292292293293293293293293293293293293292292291292291291291291291291291291291291291291291291291291291292291291291292292292291292291292291291290291291292291293292293292292291290290290290290290290290290290290290290291290291291290290290290290289290290290290290290290290290289289289289288289289289288288289288289288288288288288288288288 297297298297298298297299300300298300298293296294301299298297297296297297297296296296294295294296295292294297999999299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999294294293292291291292291291293291289287287286287285285286286287288288289291290292292291293292294295295296296296296297296296296296295294296295294296296296297297297297296297299298297296296298297298298298298300299302303300298296298297299297297296294293293294296299299299296297297298298300300296296297297299299299300299301301301304296304306307305303301301999999999999301999999297297297297296298299299298296296301294293295295295295295295999300297296294999999294292999999999999999999295297999999999295297296296296297296295999999999999294292291291293293292294294296297296295296296295295296297296296296296296298299299298297297297297300299298298298297296298297297297299299298298298299300298299298300300300300300300300300298298298298299299299299300298298298300299300300300300300300301301301300301301301301301302301302302302302301302301301302300301300301302302302302302302301301301302301303304303303304302301303303303304304304305304305305305305304305305305305305304304303304304303304304303303303304305306305305304304303303303304305306307307307307306306306305306306306307307306306306307306306306305305305306307306305305305305305304303303303303303303302302302302302301302301301301301300300300300299300300300300300300301300301300299300299300299300299299300300301301302301300301301300300301301302302303303301302302302301303303303303302303303303303303303302302301302302302302301301301300301300300299299299299299300300299299299299299299299298298299298298298298299298298297297297297298298298298298297298298297298298298298298298297297297297297297298298297297297297297296296296296296295296296295295295294294295295295294294294294294294294294294293293293293293293294294294293294294294295294294293294294294293292292293293293293293292292291291291292292292292293293291291292293292291291291291291291291291291291291291291292293292292292292291292292292292292293293292292292292293293294293293293293293292293293292292292292291292291291290291291291291291292291291291291291292292292292293292292291292292291291291291291292293292292293293292292291291290290290290290290290290290290290291291291291291290290290290290290289290289289289290290289289289289289288288289290289290288289288289288288288288288288287287 296297299299297298297299300301298299301300299297297300298298297297301300299296296297296295295295295293294296296296299297296296294296999999999999999999999999999999999999999999999999999999999999999999999999999297298999999295298296294294294292292293294292291290291288289288286287286287287287288287289289291292292293292293293293295294295296296293296296295296297296295297295294296296296298298297298297298297297298297297297297297300298299301301303302300300296296298299299299297295294293297300294297301296295296297298301295297297297298299299299299301298303301303301305308306303306300999999999999300302297298296295296296296297297303296297296296296296296296296297297999297296298299300999302295999999999999999999295300298999999999297298298297297297297999999999999999294292295296293294294296296297296297296296296295296296295297295296296297295298297296296297298300299298298298298297298298299299298299302300299298299298298299300301300300300301300299299298299299298299298298299298297297298298298300300300300301301301301301301300300301301300300301302302302302302301302302302302302301302302301301302302302301300301302302303302303302303303301303303304303304304305305304305305305305304304304304303303303303304304304304304304303304304305305304304304304304303304305306306307307307306306307306305305305305306306306305305305306306306305305306306307305305305305305305304303303303302302303302302302301302302301302302301301301300300300300300300301300300300300301300300300299300300299299301299300301302299301301300301301301301301301301301304303304301301301302302302301302302301302302302302302302302301301301301301301301301300301300299300300299300299300300299299298299299299299299298298299298297298298299298298298298297297298298298298299299299298298298297298298298297297297297297298298298297297297297297297297297297296296296295295295295295295295295295294294294294294294295294294294295294293294294294294295294294295295295294294294294294293293293293293294294293293293292292292292292291291292292293292291291291292291292292292292292292292292292291291292291292292292292292292291292292292292292292292292293292293292293293293293293292292292292292291292291291291291291290291291291291291291291291291291291292292292293293293293292292292291292292292292292292293293293293293292291291291290290290290290290291290290291291291291290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289288288289288288289287288 297299299298297299298298300300298300299301300299299299299299300300298300300298296296295294293294292295293293294295295999999293290291295999999999999999999999999999999999999999999999999999999999999999999999299298296296297296297296296296294294293294291289290289292289287289290288289288288289288289290290292291292292293293293294293295295296296294295295297297296298295296296294296296296297298299298298297297297298297298298298299299299298297299299301300299296295296295298298296296294295296294298301300298297297298299301296297297296297299299298299301298301299302301300305303293999999999999300300299298296298298296297297298296297299296297297296297297297298297297297295299299300302301301301297298999999999999297295297999999999999294296296297296295295298999999999999291294291299296295296297297296296297296296295299296296298296297297297298297297297297297298303300300298298298298297297298299296299298300299299299298301297299300300300299300300300297299300299298300299299299298298298298298299299299299301301301301300301300301301301301301301301302303302302302303302302303302302303302304302302302302302302301301302302302303302302303303303303303302303304304304304304305305306304304304304304304304304304303304304304304304304304304305305305305305304304304304306305305306307307307306307307307306305306306306306306306306306307306307306306307307307305305306305306305303304305303303303305304303302303303302303302302302302301301301301301301301300299299300300301300301300299299301300300301301302299301301301301302302302302302302302302302304302305304301301302302301302302302302302303302302302302302302301302302301301301301301301301301301301300300300300300299299300299299299300299299299299298298298298298298298299298298298298299299298299298299299298298298298298298297297297297297298297298297296296297297297296296296296296295295295295295295295295295295295295295294294294294294294294295294294294294294294295294293294294294294294294294294293292293293293294294293293293292292292292292292291292292293292291291291291291291291292292292292292292292292291291292292291292292292292291292292292292292292292292293293293293293293293293293294292292292292291292291291292292291292292292292291291291292292292292292292293293294293293294293292292292292292293291292293293293292292292291291291291291291291291291291291291291291291291291291291291290290290291291291291291291290290290290290290290289289289290289289289288289288289288288289288288288287287 297297298297298301299300300298299301300301300299300300298300298299299298297297296295295294295293294295294294294294294999999292291291292296999999999999999999999999999999999999999999999999999999999999999294298298297296296295295296296294293294291291290288288291290290289289289289288288288289289290290291292292292292293294294294296296295296296296296297297296296297296297296297296296297298298297299297297297297298298298299299299299299297298299299299300298295297297300299300298302302298297296298296301298300299299293295297299297297298299300296298302301302304304301300300300303999999999303299299299298297300307299299299298296296298298298299299298297298298299299297296298299300301301302303299299999999999999297297300999999299298295298300300298297297293999999292290291294295999294295295297297297297297297299298301298297296297297296296298297298297296296298299299299297297298297296297298297298296297298298300300299299299299300300299299299299300299300297299299300298300299299299299299299299299299299300300301300301301301300301301300301301300301300301302302303303302302303302302302303302302302301301301301300301301302302302302302301303303303303303303304303305305305306305304304304305304304304304304304304304304304304304304305305305305305305304305304305305305305307307307307306306306305307307306306306307307306306306306307306305306307307306305306306305305305305304304304303303303303303303303303303302303303302301301301301301301300300300299300300300301300301300300299300300300301299301301301302301301301302302303301302302303302302301304304301301302302301301302302302302301302301301302302302302301301301302302301302301301302301300300299300299299300300301299299298298298298298297297299298299298298298299298298299298299299298298298298298298297298297297297297296296297298298297297297298297297297297296296296296296295294294295295294295295295294294295295295295294294294293294295295294293294294294295294294294294294294294293293294293292293293294294295294294293293293292292292292292292292292292292292291291291291291292292292293292292293292292291292292293292292292292292292292292292293293293293293293293293293293293293292293292292292292292292292292291292292292292292292292292292292292292292292293293293293293293293292293292293292292292292292293293293292292292292291291291291291291291291290291291290290291292291291291291291290291291291291291291290291290290290290289290290290289289289289289289288289289289288289288288288288287 297299298300301301300300301300301301301302301301302302302301301300299298298298297295295294294294294295294294294295294293289290290293290298293299999999999999999999999999999999999999999999999999999999999999300297296295296296296294294293294294292290291289289290290291290290290290289289289290290291291291292291291292293294293294294295295296296297297297296297296296297297295297297297297298297297296296296298297298298298299299298299299298299300300299297296295298297295298295296296300302302301295299299300301300302295296299300298299301299301301301302304298300300300300298999999999999300302298298297304298306301299297297295297299299300299299299300300301300301300297297299301302301301301302299302999999999999297297999999300297296299300999302303301298294999999291290290297297999292293299298297297298297297299298300299297296296297299295297297297297298297298297297300298297297297296298297298298296296297299300298299300300300300300299299300300300300300300300299300299299298298299298299298298298298299300299300300300301300300300300300300300300300301300302302302302302302303302302302302301302300301301301301300301302301302301301303303303303303302303303304305304304304306305304304304304304304304304304304303304304304304304304305305305305305304305305305306305305306307307307306306307306306306307306307306307306306306306306306307307306306306306305305305305305305305304303303303303303303303303304304303303303303302302301301301301301300300300300300300301301301301300300300300300301300301300300303301301300301303301301302300303302302304301302301302300300301302300302302303302301302302301301302302301301301301301302301302302301302301301301300300300300300300301300299299298298298298298299299299299298299300300300299300299299299298299299299298298298298297296298297297298298298298297297298298298297297297296296297297295296295295295296295295295295295295295295295295294294294294294294295294294294294294294294294294294294294295294294294294293293294294294294294294293293293293292292292292292292292292292292292291291291291291292292292292292292292292292292292292293292292292292292292293292292292292293293292293293293293293293293293292292292292292292291292291292291292292292292292292292292292292292293293293293293293293293293293292293292292293292292293293293293293292292292292292292291291291291291291291291291291292292292292292291291291291291291291291291291290290291290290290292292290289289289289289289289289289289289288288288287287 298299300300301302301302300301301301301300299302302301301300300299299299299298297296296296294293295296296296293293293293290292293293292290291297299293999999999999999999999999999999999999999999999999999294297298297296296298298296294294293293292291290289290288289290290290290290290290290290290291291291292291292291292293294294295296296297297298298297297297297295296295296296297297297297297297297297297297297297298299299298298300300299299299300299300296297299297295295295295296301300298298296298300299299299295297297300301301302301301300303302303305299300300299298299999999999999296297298297297299301302301300300302297298299300300299300299304303304301300297299299299301300301302300301297999999999999298298999999296299297297299999999999999300298297296295292293293297296293999292294295294295296300296298298299299296297297299296296297296296296299296297298296297298297297296296297297298298298298299300300300300300299300300300300299300300300300300301300300300299299298298299299298299299299299299300300300300300302301301300301301300300301301301302301301301302302303303302301302302301301302301300301301301302301302302302300301303302303303303303303305305304304304305305305305305305304303304304304304303303304305305305304304305305305305305305305305305305306306306306306307307307307306306306306306306306307306307307307308307307307307306307306305305305305305304304304304304304303303304304303304303303303303302302301301301301301300300301301301301301301301301302301301301301300301301300302302301301302303301300301301301301301303303301300299300299300301300300302301302302301302302301302301302301301301300300302302302301302302301301300300300300300300300301300300299299299298299299300299299299299300300300300299299298299298298299299298298297297297296298297297297297297297298297297297298297296298296296296297296296296296295295295295295295295295295295295295295295294294294294294295294294294294293294294294294294295294294294294294293294294294294295294294293293293293292292292292291292292292292292292291291291291292292291292292292292292292292292292292293293293293293293293293293293293293293293292293293293292292293293293293293292292292292292291291291291291292292292292292292292292292292293293293293293294293293293293293293293293293293293293293293293293293293293292292292292292291291291292291291291292292292292292292292292291292292291291291291291291290290290290290291292292290290290290290290290290290290290290289288288289288 298300299300300301301300302301301302301299301300300299300300298299299298299298298297296295296295294294293294295293293293291293293292290288290291296292292999999999999999999999999999999999999999999999295296298300296294295297297296294296294294291293288290289289290290290289289290290290290291291290291292292292292292292292293295297296298298298297297296297297297298296297296297296297298297297297298297298298299299298299298299299300300299300298300298298296297297298297295295295295294298294298297298300299299300297298299304299302301301303303301303306308301301301300298999298295294299297298298299299299305308300300299298299299299300300300299299304303303298302299300301301303303302300999999999999999999999296298999999296296297298999999999999999297298298296296294292295292293295294293293295999294295297297298297297297296295297298295296296296296297297298297298297297296296297294295296298298298298298297298299299298299298299300301300300300299299299298300299299299299299299299299300300300299299299299299300300301300301301300301301299300299299300301301300301301301302302302301301301301301301301301300301301302302301302302302302301302302303303303302303304305304304304304305305305305305304303303304304304304304304303304304303304304305305304304305304304304305306306306307307306308307307306306305305306306306306306306306307307307307307306306307306306305305305304304304305305304305305305304304303304303303303302302301301301301301301299301301301301302302302301301301301301301300301300301300301302301302303304302301301301301303301303303301299299300300300301301302302303302302302303303302302303302302302301301301303301301302302301301301300301300300299300300301300300300299298299299299300299299299299300300300299299299298298299298299299298298298298297297298297298297298298298297297296297298298298297296296297297297296296297296295296296297296295296296295294295294295295294294294294295294293293294294294294293294293294294293294293294294295294294294295295294294294293293293293293292292292292292292292292292292291292292292292292292292292292292292293293293293293293293294294294294293293293293292292294294293293293293293293293293293293293292292292292292292292291292292292292293292293293293293294293294294294294294294293294294293293293294293294294293293293293294294294293293293292292292292292292292293292292292292292292293293292292292292292292292291292290291290291290291290290291290290290290290289290290289289289289289288287288288 296300298301299301303299303303301301301301301299299298299299299299297298299298299298296294297295295294295295295295295296293293292292291288288289295291999999999999999999999999999999999999999999999999296295296296295296294295294294293293293292290292290290290288288289289288289290290290290290291290290291291292292293293292293295296297297298298299298297298298298297299298297298298298298298298297298298298299299299299299300300300300299299300300300296299299298297296296296298296296296298299300299301301300300295294297301303302302302302303303303305306304303299302303999301295295297297299300299300300300307307300301300300301301300300300300300298298306302299299301301301302304304305999999999999999999999296297296999999296296999999999999999999999297297296296295294293290292292291291296295296999294296297296297298297296297296297299296295295297296295296297297297296297297297296297297298297297298297297297297299299298300299300300301300300300300299300299299300298299298300300300299300299298299299299299300300300301301301301301301300300300299299300301301300300301300300301301302302302301300301300300301302302301302303301301303301302303303304303303303303304305304304304304304304305305305304304304303304304304304304304304304304304304304304304304304304303303305305306306306307307306307308308305305306306306305306307306307307308307308307307307306306304306304304305304305305305305305305305304304303304304304303303303302302302301301300300300301301302302302302302302301301302302301302301301301301301301303301302302302301301302301300302302300300300300300300301301301302301301302302302303303301301303302302301301301302302302301301301300301300300299300299300301300300300299299298300300299299299299299299298298300299299298299299299298299299299299298297297298297298298298298298299298298297297298298298298297297297297296297297297296296296297296295296296296295294295294294294294294294294294294294294294294294295294294294294294294294294295295295295295294294295295294294293293293293293293293293292292292292292292292292292292292292293293293293293293293293293293293293293293294294294293293293293294293293293294294293293293294293293293293293293292293292292292292292292292292293293293293294293293294294294294294294294294294294294294294293293294293294293293294293294294294293293293293293293292292292292292293292292292292293293293293292292292292292292291291291291291291291291291291290290291290289290289289290290290290289289288288288288288 296296299298300299300302300301302300301299300298299299298299298297296295297296296295296297294293295294293294294295293295293292292291290289287289293999999999999999999999999999999999999999999999999295296296295294295295294295294294294292293292291291290290289288287288288288289290289290290290290290291291291292292293293294294295295296297297298298298297296297298298297297297297298297297297297297297297299299298299300299300300299299299299298299300296297297300298300296298299297300300300300301302301302302300295296297299299301299301303302303304307305302302302301999999294295296297299300300300300300300301301301302302302302303301301301299301299299298300300300301302303303304304303999999999999999999999296297999999296297297999999999999999999999999295295294295294293293292999999295296296295296296296297296296297297297296298296293294294295297296296296296298295295295297297295297297298297297298298298299299300300300300299301301301300301300299300298298299299300300299300299300299300300300299300299300300300301301301300301301301301300299299298299301301301300301300301301303303302302301302300301302302302302302302304304303303302302303303304304303302303304304304304304304304304305305305305304304304304304304304304304304304304304304304304304304304304303303304305306307307307306306306308307307305306307306305306306307307307307308308308307307306306306306307305306304305305305306305305305304304305305304304305304303302301302301301301300300301301301302302302302302302302302303303301302302301301301301301300301300300302301301300302302302299301300300300300300301301302300301301301302303303302303302303301301301302301301302301301301300300299299300300300300300301300299299299299300300299299300300299299298299299299300299300299299299299298299298300298298298298298298298298299299297300298298299299299298297296297297296297297296297297297297296295296296295295295295294295295294294294294294294294294294294294295294295294294294293295294295295295295294295294295295294294293294293294293293294294293293292292292292292292292292292292293293294293293292292293293293294294292293294293292293293293293293293293293293293293293293293293293293293293292292292291292292292292292292292293292293293294293293293294294294294294294294295294294294294293293294294294294294294294294294294294294294294294293293292293292293293293293293293293293293293292292292292292292291291291291291291291291291290291291290290290289289290290289289288288288288288288288288 298299300301300300300300301301302302300301301299299299298298298299297297297298297296296295294296294294295295294292293294294293293290290289290291294999999999999999999999999999999999999999999999999999294294295295294295294294293293293292292290291290290290288288288287288289289289289290290289290291291291291292292293293294294295296295296296297298298297297296296297297297298296297297298298298298298298298298298300299299299299299299299298298299297299298298300299298300300300298300297299298299300302302301303301296297298301302303301303302301306301301297305300999999999294296298299299298299300300300301301301302303303302303302301303303302299299297300301302302302302303304304303299999999999999999999999296296999999296296294999999999999999999292292293293293293293292292293999999294295294999294294295296296296295296297295295292292292293297296296297296296297297296295298297295295296298297297297297296298299299299300300299300300300300300300300299299300300299299299299299300300300299299300300300300300300301301301301301300300301300299300300299300301300301301300300301302302302301302303302301302302302303303304303303302303303303304303304304304303302302303303302303303304304304305305305305304304304304304304304304304304304305305304304305304304305305304304305305306307306306306307306308307307306306307306306306306306307307307308308308307306305306307307307305306305305306305305305304305305305305305305305305304303302302302302302301301301302301302302302302302303302302302303303302302302302301301300300300301300300301301300300300300300300300301301300300300300301301301302301301302303302303302301300302301302301301301301301300301301300299300300300300300300300299299299299300299299299300300299299298297298298298299299299299300300299299298299299298298297297298299299299299297298298298298299299299297297296296296296296296296296297297297297295295294294295295294294294294294294294294294294294294294294294295294295294295294294295295295295295295294295295296295294294294294294294293294294294293293292292292292292292292292293293294293293293293292293293292293294294293294294293293292293293293293293293293293293292293293293293293293293293292292292292291292292292292293292293293293293293293294293294294294294294294294293294294293294293293293293293294294294294294294294294294294294293293293292292293293292292292292292292292292292292291291291291291290291291291290291291290290290291290289289289289289289289289289288288288288288288288289 298301302303301301300300301302302302301301302301299299298300299298298297297296296297295296295294295296295294293293294295293293292290290290291291999999999999999999999999999999999999999999999292999295293294295294294295295295294293293292292291290289290289289289290289290290290290290290290290290291290291291291292293292293291293295294294295297297297297297297296297294297295296296297297297298297297297297298299300298298298297298298298297297298299299298299300298296295298298297298299300300299300300301301300301300297299303302301302302302303300300300298300999999999999295298301301300299298299299300302302302302303303302303303303304304300299298299299301303302302303303303303302300301999999999999999999295294999294296295295296294295294293293292292292293293292293292293292999999999294292292293294295295296297297297296294293295295295296298299297297296296296296295296297297297297296298298297298298297298299298297298299300300299299299300298300299299299299299299300300300300300300299299299300300300300300301300300301301300300300300299300300299300300300300301300301301301301302301302302300302302301302303303303303303303303303303303303304303304303302302303303999304303304303304304305304304304305305304304304304304304304304305305305304303304304304305303304305305306306306306306306307307307306306306305305305306306306306306306307307307307306306306306306305304306305306305305305305305305304304304304305305304304303302302301301302301301302302301302302302302302302302303303303302301301301301300301302302302302301300300301300299300300301301301301300300300300300301301301302301301302303302302301303302301301301301301300301301300300299299299299299299300299298299299298299299298298299299299298298299299298298298298298298298299298299298298298299298298297298298297299299299298297297298298298298297299296296296296296296296296296296296297297296296296295295295295295295294294294294294294294294295295294294294295295294294294294295294294294294295295295294294295295295294294293294294294294294293293293292292293293292292292292293293293294293293293292292292292293293293293293293292292292292293292292292292292292292292292292292292293292292292292291291291291291291292292293293292292293293293293294293294294294294294294294293294294294294294294294294294294295294294295295295295295295295294294294293293293294293293293293293293293293292292291291291291291291291291291291291291291290290290290290289290289289289289289288288288288287288288287288 299302301302301300299301303303298302301300300299300299298299299297296298297296295297294297296296296294294295294293295295292293293291291290290292999999999999999999999999999999999999999999293295292294294293293293294294295295293293292292291290290290290291291290291291291291291291290291290291291292291292291291292293293293293294294295296296297296298297297296298298298298297297297298298299298298298298299298299299299299298298298298299298300299300300299296300300299300300300300299300301300299298299300300300301300304303303304303303302302299301302302301999999999999294297298301301301301300300301302304303303300300301303303303302304301300299299300299300300301301302299301301300299298299999999999999999999291999296296295296296296294293293292291293294295292291292294295295296295999999999297294294294295297297296296295295298296295298298298299300296295296296296295298299296297297295297297298298297297297298298297298299299298298299298298299299298300299299299300300300300299299298299299299299300299299299300300300300300300299300300299300299299299300300299300300300301300300300299302302301301300301302303302303303303303304303304303303302303303302303303302303304304303304303304305305304304304304304304304305304304304304305304305305305304305305305305304304305305306306306306306306306306307306307307305306306306306306307307306306307306306306306306306306305305306306306306305305305306305305304304304304304304304303303302302302302302301301301302303302302302302302303303303302303301302302301300302301301300300300300300300300300301301301301301301300300301301301300301301301300299301301302301303302302301301301300301300300300300300299298299298298298298298299298299299299298298299298298299298298299298297298298298299298298298298298297297298298298297298297297298298298298297297295295295296297296296296295295296296295295296295296296296295294294296295294295294295294294294294293294294294294294294294294294294294294294294295294295294295294295294294294295295295294295294294294294294294293293293293293293293294292293292292293294294294294294293293293292293293294294293293293293293293293293292293293293293293292293292293293292293292293293292292292292292292292293293292293293293293293293293294294294294295296295295295294295295295295295294294295295295295295295295295295295295295295294294294294294294293294294293294294293293293293292291292291291292291291292292291291291291291290291290290290290290290289289289288288288287287287287287289 298302302301301300300300302302302301300300300298299299298298298298297297298296295295295297297296295293292294293294295297296296294294291291290293999999999999999999999999999999999999999999292292293292292292292293293293293294294293292292291290290291292292292292292292291291291291291291291291291292292292291291292292293293293294292296296296297297297297297298298298298299297298298298299299298299299298299299299299299299298299298299299298298299303303304300300299299300301301301301301300300300300299298302302302302303304305305304303302302299302299300999999999999296298299302302303302302302302302303304303302303303303304303302303303303300303303302301301302301302300302301299299299299299299298999999999999999295295295298299298298296294294293294295296297293294294296297296296999999999999296296295294296297296296297297297296296294295298297298297296297296296298295298298296296298297297297297296296296298296296298298296297298298298299297297297299299299299300300300300300299298297297298298298299298299299299299299299299299299300299300299299299299300299299300300300299299299299299301302300301301301301302301302303304304304303303304304303302303302302303302303303303303303304303304304304304304304303303304304304304304304304304304304305304304304304304304304305305306306306306306306305305307307307306306306306306305306306306306306305306304306306305305305305305306306306306305306306305305304304304304303303303303303302302301301301301301301302302302301302301301302302303302302302302302301301300301301301300300300300299300299300300300301300301300300300301301300300301301300301301302301302302302302302301301301299301300299300299300300299298298298298298298299299299298300299298299299299298299299298298297298298299299298299299299297297298298298298298298298296297298298298298297295296296297297296296296296296297295296296297296296297296295295295295295295296295295295295294294294294296295295294294295294294295295295295295294295295296295295295295294294295295295295296295294294295294294294294293294294294294294294294293293294294294294294295293293294294294293294294294293293293293293293293293293293293293293293292293293293293292292292293292293292292292292293292293293293293293294293293294294295295295295295295295295295295295295295295295295295295296296295295294295295295295295295294295295294294294293294294293294293293293292293293293292292291291291291292292292291292291291291291290290290289289290289289289289288289288287288287288288 301303300300300300302299299299300301299299299299298297297297296297297295295294295297295297296294295294294294294294294297296295295293291292292294999999999999999999999999999999999294293294293292293292291292291292292292292293292292290291291290291292292292292292292292291291291291292291291292291292292292292293292291291293294294293295295296297298297295297298299298296298299298298299298299299298299299299299299299299298299298298299301298298300304301300298301300301301301302302302301300301301302298299303303303302302303304304302301301302300304296999999999999297299301301303303304303301302304304300305302302302302302304302302302300300301304303303302302301300300300301299299298299299300301298299999999999999293294293298299299297298297296296296298296295296295295295296296295999999999999999299999296298298297297298301299298297295297298298300295295296296296298299298299297299299297297297298297298300300297297298301298298298298298299298299299299299299299299300300300299299299298298298299298299299299300300299299299299299299299299300300299299299300299299299300300299299300300299302302302302302302302303302304303305304304304304304305304304303304303304303303304304303304304303304304304304304304303304304304304304304304305304304304305305305305305305305305305306306307307307307307307307308307307307307306306306306307306306305306306306306306306306306305305305306306306305305306306306305305305305304304303303303303302302301302301301301302302302301301302302302302303304303303302302302302302302302302301300300300300299299300300301301300301301299300301301300300301302302301301302302301301301302302302302304304301301300300300300300300300299299298299299299299300299300300300300299299299299299300299299298299299300299299300299299297297298298298298297297297297298299299297297297296297297297296296296296296296296295296296297296296296296295295295295295295295296296295295295295295294295295296295294294295295296295295295295295295295295295295295295295295295296296296296297295295295295294294293294294294294294293294294293294294294295294295295294294294294294294293293294294293293293293293292293292292293292292292292292293292292292292292292292293293293293294293293292293292293293294294294294294294295295295295295295295295295295295295295295295296296296296296295295295295295295295295295295294294294294293294294294294293293293293294293292292292291292292291292292292292292292292291291291291291290290290290290289289288289288288288287288289 301302300301302299302303302301301300299299298298297297297296295296295294294294293294295296295296295295295295296296297296296297296293292293293294999999999999999999999999294293294294294294293292292293291291292292292293292292291290290290290291291292292292292292292292291291291292291292291291292292292292292292291290293294293293295294295296297296296296298297299298298298298297297298299299299299299299300300299299299298299298299299299297300303302299299299299302301301301302302302300301301300301300301301300303304303303304295299297300301301999999999999298298299300302304303303303303303304303304304302302302302303304305301301302301302303304304303303302301300300300300299299298299299299299298297999999999291295296999999298298297298298298297298298298999296295296294296294295999999999999999999999298296296299299298299297297298296297297294294295295296296296297297297299298299299300298298297298298299297299299298298301299298298298298298298298299299299299299300299300300299299299299299298299299299299300301300299298299299299299299299299299300299299298298299300300299300299300302302302302304303302302303303303304303304303304304305305304304304304305304304304304304304303303303304304305305304303303305305304304304304304305304304304304305306306306305305306306306306307307307307307306306306307307307307306306306307306306305306306306307307307306307306305306306307306307305306306306306306305305305304304304303303303302302302302302302302302302302301302302302302302303303303303303302302302302302302302301300301301300300300300300301302300302301301302301301301301301302302302302301302302302302302302302302303303302302300300299299301300301299299298299299299299299301300301300300300299299299300300299299299298299300299299299299298297298298298297298297297296296298298298297297298297297296296296296296295296296296296296297296296296297295295296295295295295295296295296295295295296296295295296296295296295295295295295296295295296295295295295295296295295295296296295295294294294294294293294294293294294294293293293294294294295294295295295294294293294294294294294293293293292293292293292292292292292292292292292292292292292292292292292293292292293293293293293293293293293293294294295295294295295295295295295295295295295295295296295296296296296296296296296296296295296296295295295295295294294294292293294294294294294294293293293293292292292292292292292292292292292292292293292292292291291290290290290290291289289289288289288287288288 301301302301302301303300301300302302299298298298298298297295296295295295294295294295296294295296296296296296296296297298297296295293291291292295999999999999999999999292294296294295294293292292292291290290292292293291290290289289289290290290292293293292292292291291290292291291291291292292292292292292292293292292292292294294294295296296296296297297296295297297297298299298298299299299299299299298299300300299299298299299298298300303298296301301300299300301302304303303302301301302301302303302304303303303301300302304303300299298303999999999999299299300300302301303304303303304304305305305304302301301302303305301302303303302302303303303303303302301300300301300299299298297298298297297297294290292293294294293294296298297298300300299299298297298295295295295296296297999999999999999999999296295298299299299296296296296296297295295296296296298298297296297297297300298298297297297297297297298298298297298298298298298300301300298298298298299299298299299300300300300300300299299299298299299299299300300299299299299299299299300299299299299298299299299299299299300299300302302301301302303303302305303303303303303303303303304305305304304304305305305304304304303303303303303304304304304304304304305304303304304304305305304304304305306305305305305306306306306307307307306306307306307307307307307307306306306304306305306306307306307307307307307306305306307306306306306306306306305305304305304304304303303303303302302302302302301302301301301301302303302301301303303304303302302302302302301301301301301300300300300300300302303302302302301302301301301301301302302302302303302303302302301301301301301302302301300300300300299299299299299299299298299299301300300300300300300299299299299299299299298299300299299299298298298299299298298298298297297296297297298297297297297296297297296296296296296296295296296296296296296296295295296295295295296295296296296295296295295295296295296296296296295295295295296296295295295295295295295295295296296295295296296296295295295295294294294294294294294294293294294293294294294294294294295295294294293294294294293294294293293293293293293293293293292292292293292292293293292292292292292292293292292293293293294293293293292293293294294294295295295294295295295295295295295295295295296296296296296296296297296296296296296296295295294294294294294293293293293294294294294293293292292292292291292293292292292292292292292292292292292292292292291291290289290290290289288288289289289289289289289 301302303303301303302301300300299301299299299298299300297298297295295295294294296295294296296296297298297296295298298296296297294292292292293296999999999999999999293293295296295294293292292291291291289291291291292291291290290289290290291290292292292292292291291291291292292292292291291292293293294292292292291291291292293293294294295295295295296296295296296296297297298298298298299299298299297299300300299298298297297298298298303302297302300300298298298300300301299301301294301302300300300302304306305304304303304305302306303301999999999999299298299300301301301303302303303304303304304305302304302302302304304302301302302302301302303302303303301302301302300300298299297298298297296296296294292292292293293294296297298299300300301299299297298298999297297297999999999999999999999999999999999295296298299299297297296294296296297296296297297297297298298297297295297297294299298299297297297298298297298298299297299298299300300298298299298299299299300299299300299300299299299299298298298298298299298299299300300299298299299299299299299299299299299299299300300300299300302301301303303303304304304304303303303303303302303304305304304304304305306306305305303303303303303303304305304302303303303304303303304304304305305305305305305305305305306307306305305306306307307308307307308307307307307307307306306305306305305306307307307307307307307306306306306307306306306306306306305305305305304304304304304304304303302302302301301301301302301301301302303302302302304304303303303302302302302302302301301301300300300300300301301303301302302302302302302301301301302302301301301302302302302303303301301301302300299301301300300301300299299299299299299299300300300301301301301300299299299299300300300299300302300300300299298298299299298298297297297297297297297297297297296296296296296297296296296296295295296295296296295295296295295296295296296296296297296296296296296296297296296298298297296297296295296296295296296296296296295295296295296296295295297296296295295294294294294294295294294294294294293293294294294294294294295294294294293294294294294294294294293293292292292292293293293292293293292292292292292292292292293293292292293293294293293293292293292292292294293294294294295294295295295295295295295295295295295296296296296296296296296296296296296296296295295294294294295294293293293293294294294294294293292292292291291292292292292292292292291292292293292293293292292291291291290290291290290289289289289289289289289289 300302302301300301301300301300300301301299299298300299295299298294296295296298296296299297297298298297297297296297298296297296295293292292293296999999999999999292294297296296296295294294292291291291291290291291291290291290289289290291291289291291292292291291291291291291292292292291292292292293293293293292292292292292292294294294295296295295296298295295296295295295297297298296300298298298299300299299299298298297297297299298300301296300300297298297294294299299302301301299299301299301302303303306305305305300299306301305302999999999999295298299300301300301302303303304303305303303304304304303302301300304303302303302302302302300301301301299301300300301301300300300299298296294296296294293293290291292294293295297298299299299299299298297298298999999296296999999999999999999999999999999999295296295297298297296297296296295295296296298297297298298298297298296293296295299297297297299299298300301299300300296297298297297298298297298298299298299300299299299299300299299299299298298298298298298298298299300299300300299299299299299299299299300299299299299299300300301302302300300303303302303303303302302303302302303302304304303304304304305306306306304303303303303303303303303303302302303303304304304303303304304305305305305305305306306305306306306306305306307309307308307308307307307307306307307306306306306307308307307307306308308307306306306306307307306306305306305305305305305305305304304304304303303302303303302301302301301301301302302302303303303304303304303303302302302302302302301301301301300301301301301301302302302302302302302302301301301302302302302301301302302302302302302301300301300300301300300299300299299299298299298299300299300299300301300300300300300299300300300300299300300299299300298298298298298298297297296297297297297297298296296296295296296296297296296296296295295296295295295295294295295295296296296296296296296296297297297297297298297297299297297297297296296296296296297296296296296296296296296296296296296296296296295295295294295295295294295295294294294294294294294294293294294294294294294294294294294294294294293293293293292292293292292292292292293292292292292292292292292293293293294293294293294293293293293291292292293294294294294295295295295295295295296296295295295295296296295296296296296296296296296297296296296296295295294295295294294294294294294293294294294293293293293292292291291291292292292292292292292292293294292293291291291290290290291291290290290290289289290290289 301302303302303302302300299300300301300299299300300300299297298298296299296296297296296296297297298297296296296297297297297296297295293293294296295999999999999294296297296296296296295293292292292289291291291291291290290290290290291291292291291291291291291291291291291291292292292292292292293293293293293293292293294294294294295296295295295295295295295296296294295295296297298298298298299299300299299300299298297296301299298298299298298297299300300299298294304298298299299298298300301301302303303305299305300300304301300301999999999999296298299299300300296301302303302304304304305302304303304303301301304303304304303302304303303300299301301300300299299298300299299297297297296293294292294293293292293291293296296298299299300299300298299298299301999999999999999999999999999999999999999999295295295295296298297298298299299297296296296297296296296299300297298298298298296296297297299298299297300299299299299298298298297297296297297298299298298298298298299299300300300299300299298297297297298298298298298299300300300299299299299299300301300300299299299299300300300300299301301300303303302302301301302302302303303303303303303304304304304304305306305304304304303303304304303303303302302302303303303303303304303304305305306306305305305306305305305306306306306307308308308308309308308307307307307307306307307306307307307306306307307308306307306306307306306306306306305305305305305305305304304304304304303303303302304302301302301302301301302302302302303303303303304303303302302302301300301301300300301300300301301301302301302302302302302302302302301302302302301302301301301302302302302303302300301300300300300300300300300300300299299299299300299300299300300300301300300300300300299299300299299299299298298297297297298298298298297297296297297297297297297296296296296296296296296296296296295296296295296295295295295295295296297296296296296296296297297297297297298298298298297297297297297296296296297297297297297297296296296296296296297297297296295295295295295296295295293295295295294293294294294293294294294295294293294294294294294294294293293293293293293292292293292293292292292292293293292292293293293293293294294295294294294294294294294293295292291293294294295295295295295295295295295296295296295295295295296296296296296296296296297297296297297296296296295295295295294294294294294294294294294294294293293293292293291293292294292292292292292292292292293292292291291291290290290291291290289289290289290290290289 300299300304302300299299300301300301299300300299300298297298298298298297296297298297296297297297298298298298298298299299299298296295295295296300999999999293294296296297296295295294294293292291291291289290290290290290291291290291291292293292291292292292292290291291292291292291292292292292293293292294294294294294295294294295295296295294296295295296295296296295294296295297297298298303298299300299299299298298297296297297298298298298299299300300300299298297300301301301301300299299300301302304304306302300300299305300301999999299299299301301299300302301302303303303303304302302301305304303302301302299302301303302302303303300301302303301301300299298299299297298297296296296295292294294293292294295293296999300299298300301299298300300302298300301999999999999999999999999999999999999999297295295296296294297298300299301302300300298297297297298298298297295296297296303301300298298299299299299299298298299297296297298298298298298297297298298298298298297298299300300300300299298297297297298299298298299299299298299299299298298299299300301300300300300299300300300300300300300301302302302302303302302302301302303303303303303303303303303304304305304305304305305304304304304303303303303302303302302303303303304304304305305305305305306306306306306305306306308308309307308308308308308308307307306306307307308307307307307307307307307308306307306307307307307306306307306306306306306306305305304304304304304303302303303304303302302302302302302302302303303303303303303303303303302302302301300301301300300301300301301301300300301302303302302302303302302302302303302301302301301301301302302303303302301300300300300300300300301300299299299298298299299298298300300300300300300301300300300300300300300299299298298298297297297297298298298297296297297297297297297297297296297296296296297297297297297296296296296296295295295295295296296297296296296297297296297297297297298298299299299298298298298297297296296296297297297297297296296296297296296297297297296296295296295295296295296293295294295295293293294294294294294294294294293294294294294295294295294293293293292293292292293293293293293293293292293292293293293293293293294294295294294294293292293293293294293292293293293294294295295295295295295295295295295295295295295296296296297296297297296296296297296295296296295295295295294295294294294294294294294294294294294293293293293293293293293291293292293292292292292293292291291291291291291290290291291290289288288288289289288 298298302302299298299299299299300300298297299300299297297297296296297297297296297297297298297298298298300298298299299299299298297295295295295294297298295294296298297295295294294294293294292292292291290290291291290291291291291291291292293293293293293292292292291291292292292292292293293293293294293294295295294295295295295295295294295294295293293294296296296296296295295295297297298299299298299298298298298297297299298297297296298299297298299300301297299298301301301301300301302301300301301297306300300299301304301300999999999300300299300300301302301302302302303304302303303301301301302302302304302301302301302300300302301302301298299301301299300299300299298298298296296296296293293292292291295294293999999999999298298299298298299300999299300301999999999999999999999999999999999999999296296295295294297298298299301298299300300302300299299299299298298297296299296298301300298298299300300300300299298299298300299298298299297298298299297298297297298298298298299299299299299298298297297298298298299299299298299300299298298298298299300300300300300300300300300300300301299301299299302302303303301302302302302303303303303303303303302303304305304304304304305305305304304304304303302302303303303303303304304303304304304305305305306306307306306306306306306308309309309310309309308308308308307307307308308308308308307307308307307307307307306307306307307307306307306307307306306306306305305305305304304304303303303302303303303302303303303302303303303303303303304303304303303302302301301301301300301300301301301301301301300301302303303302302302303303302303303302302302301301301302302302301301302302301301301301301301301301301300299299299299299299299299300300300300301301301301301301300301300299300300299298297297297297297298298298297296297297297297298298297296297296297296295297297296296297296297297296296297297295295296296297297297296296297297297297297297298298299299299299298298298298297297297297296297297297297297297296297297297297297297297296296295295294294295295295293294294294293293293293293293293294293294294293293294294293293294293293293292292294292293293293293293293293293293293293292292293293292292293294294294294294295293293293293293293293292293294294294295295295295295295295295295295294295294295296296296296297296296296296296296296296297296296295295295295295295295295294294294294294294294294294294294294294293293292293293292292292293292293294292292292291291291291291291290291291289288289288288290290289 999298298298298298299299300300300300299299298304299297299296297297296296296296297298298299300300300295296298300299299298299298298297296295295295295296295296297296293293293293293293293292292292292292291291290290291291291291291292292293293293292292293293292292292292292292292293292293293294294295294296296296295296296295295295295295295295297294294292295295295296295295294295296296298299298298298298297298298297299298297300299298299299300299299300300298296300298303301302302300299298299297299304306302302302304302302301999299300300300300301302302302302303300302301302302302302302301301302302305302301301302302301301301302302300299299299298299299299299298299298298297296296295295295294292295293999999999999999999999999295296296297299999999999999999999999999999999999999999999999999999999999999999295296297299297298297298299302303301299298299299298298297298295297299299299300297297299299299299298297300300300299300299299297297297298298297296297298298298298298298298298297298296295297298298298298298298299298298299298298298299299299299300299300300300300301301300300300300300300299302302303302302302302302301302303303303303303302303303304305304303303303304305305304304303303303303303303303303303303303302303303304304305305305306306307306306307306306305307307308308311309310308308308308307307309306307307307307308307308308307307307307307307306307307307306307306307306306306306306305305304304303303303304302303303302303302302302302303302303303303303302303304303303303302302302301301300300300300301301301301301301300300301302303303302303303303302303302302302302301301302302302303302302301301301301301300302302301301300301300300299299299299299299300300300300300300301300301301301301301300300300300300299298298297297298298297297297297296297296297298298297296297296296295297297298297296297297297297297296297296296295296297297297297297297297297297297298297297298299300299299299298298298297297297297297298298298298298298297297297297297297297297296295294295295295295295295294295296294294293293293293294294295294293293293293293293292293293293293293293291292292292293294294294293293293293293293292293293293293293293294294294295295295293293294294293294293293294294294293295295295295294295295294294295294295295295296296296297296296296296296296296296296295295296295295295294295295295295294295295294294294294294294294294294294293293292292292293291292292292292292292292292292291292291291292291292290290290288288289288289290 999999297299299299299303300301300300299298297296300298299299299299299298298299298300301300299301298297298299299298299299299298298298297295295296296296296296295294294294293292293293293292293292292291292292291291291291291291291292292293293293294294294293292292293292292293293294294294295296295296295297297297297296296296296295294295294294295296293293289289293295297293295296295296297300298299297297296297299298298297297299299298299299300300300298299297295299299298300300300299299298298300299303304302302303304301302301299299299300301301301303303302301300300302301301302302302302302302301300303303302303302300301302302300298300299300300300299299299300299299297297297296295295296296296295294292999999999999999999999999292295296299300999999999999999999999999999999999999999999999999999999999999296296297296297297301298299299301300299299298300299299300298297297297298299299298296297298298299297299298299299300300299299297297297297298297297297297298298297298297298298294298296296297298298298297298298298298298298298298297299299299299299299299299299300300300300300300300300300300301301302302302302303303301301302302303303303303303303304304305305304304304305305304304304303303303303303304304303303303303303303303303304304305305306306307306306307306306306306307308308309309310310308308308307308308307306308307307307307308308307307307307307306307307306307307307306306306306306306306305305304305304303304303303304304304304303302302303302303303303303304304303303303302302302301301301301301300300301301301301301301301301301302302302302302303303302302302302302303301302302302303303304303303302302301301300302301302300300301301301301300300299300300300300300301300300301301300300301300301301300300300299299299299299297297298297297297297296296296296296296296296296297297297296295295297298297297297297297297297297297296297296297298297298297297297297297297297298298299300300299299299299299298298298297297297297298298298298298297297297297297297297296296295295295295295295295294294295294294293293293293293294294294294294294294293292293293293293293294292293292294294292293293293293293294294293293293293293293293292292293294294294294294294294294294293294294293293294295294294295295294294294294294294294294295294294295295297296296296296296296295295296295295294294295295295295294294295295295294295295295294294294294294294294294294293293293292292292291291292292292292291292291291291291291291291291290290290291289289290290289289 999999999299300301301300300300301302302300300299298298300300300299299299299300301301301300302300299299300300300299299300299299298298297296297297296296296296294294294294293293293293293292292292293292292292291292291292291291292292293293293294294295294294293293293292292293293295295295295296296297297297297297297297296296296297295295296297295295295294295296296294293295295295295296297297297300298296298298297297299299298298299299300300301300300299300298296298298300300297298300298298300298299299303305306305301302302301999299300301302299300302302302301301301302302302302303302306302300303303300303302301301300301301302301298297299298299299299300299301300300298298297296296297297298296295296296999999999999999999999999293295296295999999999999999999999999999999999999999999999999999999999999999297296295297297297302300301298299299299298300301301301300298298297298298298298297297298297298297298297297297297297297297298297297298298298297297297296298297296298297298297298298297297298298298298298298298298298299299298298298299298299299299299299299299300300300300300301301301301300301301301301302303303303302302302302302303303303303303304304305305304304304305305304303304304304304304304304304304303304303303303303304304304305306305306306307306305305306306306306308309309310308309308307307308309308308307308307306306307307308308308308307307307306306306306306307306306306306306306305305305304305305304304303304304304304303302302303302302303303303303302303303302302302301302301301301301301301300301301301301301301300301301300301300301303303303302302302301302301302302303303303303304303303302302301300300301301301301300300300301301301301300300300300300300300300301301301301301300301301300300301300300300300299299297297298297297296296296296296297296296296296296297297297297296297297296296297296297297297298298298297297297296297297298297298297297297297298299300300300300299299299299299299299298298297298297298299299299297298298297298298297297296296295294295295295295295295294295295295294294294293293293294294294294294293293293293293293293293294294294292294294294293294293293294293295293294293293293292292292293293294294294294294294293293293293294294293293294294295295294294294294294294293294294295294294294294295297296296295295296296295295296295295295294295295295295295295295295295294295295294294294294294294294294294294294293293291292291291292291291292291291291291291291290291290290290290291290290290290291290291291 999999999299301301302300300301301301300300299299300299299300299299299299300299299300301301299300301301300300300300300300299299299297298297296297297296296294295295292294294293293293292292292293293293293292292293292291291293293293293294295295295295295295294294294293293293294294295295296296297297298297298297296297297297299296297297297296297298294294299293295296295295294295295296296297298297298300300300299299298299300299299298299301300301300300302299297295299301299298301295298300300295298301302304301307303302301302302302300301301301301302302302301302302302302303303303306306305305304302300301301301301302302301301299300299300301299297298299299301301300298297298299298298298299299297297999999999999999999999999999301300999999999999999999999999999999999999999999999999999999999999999999999999297297299298297297299299299299299298298300301300299299298298297297297298298297297299298298297298298297295295297296297297297297297298298297296296298297297297297297297298294299297297297298298298298298298298298299299299298299299298298298298299299299300300300300300301300301301301300301301302301302302301302301301301302302303302303304304305305305305304303305305304303303304303304304304304304304304303303303304304303304304305305305306306306305304306306305305306307307308308308307307307307307309310308307307307307306306306307308308308308306306306306306306305307307306306306306306306305305306305305305305304304303304303304303303303302302302301303303303302302302302302302301301301301300301301300300301301300301301301301301301300301302302302303302302302302302301302303303303302302304304303302302301301301300300301300300300300300300300301301301300299300300300301301301301301301301300301300300300300300299300300299297297298297297297297297297297297297297296296296296297296296297297297297297297297297297297297298298298297297298296297298298297298297297298297298298299300300300300299299299299299298298298298298297298298298298298297297298298297297296296295295294295295294294295295295295295295295294294294294293293293294294294294293293292292293293294294294294294293294295294295294294294294294293293293292293293293293292293293293294293294295296294293293293293293292293294294294294294295294293294294294294294294294294294295296296296295296295296295295295295295295294294295295295295295296295295294295295295294294294294294294294294294294292292292292292291291292291292292291291290291290291291291291291290290291291291291291291290290 999999999303302302302301303301302300300299299297298298298299299300300299299299299300301298300301301301300301299300298300299298298297297296296297296296295294294294294294294294293293293293293293293293294294294293293292292292293293294295295295295295296295295295294294294294295295296296297297298298298298298298298296296297297297297297297297295298298295297296294296296295296296296296298298298299296299300299299299298300299297297298299299298301300299299298298297298301302302300299299298297299299300303305306301302302302301303302302302301301301302302301302301302302301302302302303306305304304301302301302299301300300301301300301301299299300298298299300300300300303299297298299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298296297299297298300299298302301300301301299300298298298296297297297298298297298297298297297296296296296297296297296297296296297297297296296297298297297297297297297297297297297298298298298297298298298298299299299299299299298299299299299299299299300300300301301301301301301300301301302302302303302301301302302302302302302303304304304304305305304304303303302303303303303305304304304304304304304303304303304304304303305305305305305306305306306306306306306307307306306306308308307307307310308307307307307308307307307307308307307307306306306306305306306306307306306306306306307306306306304304304304304304304304304303303303303302303302303303303302303302303302302301302301301301300301300301301301302300300302302300302301301302303303303303303302302302301302302303304302303303303304303301301302301301301301301301301301301301301301301301301300300300300300300301301301302301301301301301301301300299299299299299298297298298297297297297298298297296297297298297298297296296296297298297297297297297296297298298298298298298298297298297298298297298299299297299298299300299300300299299299299299298298298298298297297298299298298297297297297297297296295295294294294294295294294295295295296296295295295294294294294293293294293294293294294293294294295295295295295295295295294294294294293294294294294293293293293293293293293293292294294294295295294294295294294294294293293294293294294293293293294295295294294295295294293293295296295294295295295295295295295294294294294295295295295295295295294294295295294294294294294294294294294294294293292292293292292292291291291291291291291290291291291291291292293290291291290291291292291290 999999999304304303303302302301301302300300300299299299299299300300300300299299300301299300302302301300300299299298299299299298298297297297296296296296295295295293294294293294294293294293294294293294295294294294294293293293293294295295296297295296296296295295295295295295296295295297297297298298297298299297297297298298298297298297297296297297296295294293294294295295295295295297298298302300300301301299300298298298297297297298298297297298300299300299299300300302301301300299299297297300300301304301300300300299999300301302302302302300301303303301302302300301302301301301302302301301301301301301302300300300301301300300301300301300299299299301301300299300302300300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298300298297298300300300301301301300301300298298298297297297297297296297296297297297297295297295294296297296297296295296296296296292297296296296296296296296297297297297298297297297297298298297298298298298298298299299299299300300300300299299299299300301301301301302301301301301301302302302302303303303302301301302302302302302303303303303303304304304304304303303303304304304304304304304303304304303303303303303304304304305305305305305305305306306307306306306307307307307307308307310311309308307307307307307307308306307308307307307306306306306305305306306306306306306306306308307307306305304304305305305304303303304303303303302303302302303302302302302302302302301302301300300301301301301301301301301302301301302301301302303303304303303303303302302303302302302303303303303304304303303302301302302302301301301301301301301301302301301300300300300300300301301302302302302302302302301301301300300300300299299298298298298298298297297298297296297297297297297297297297296297298297297297297297297298298298298298298298298298298297298298298298299299299299300299301301300300300299300299299299298298298298298298297298298298298298296297296296296296296295294294294293294294295295295294295296295295295294295294294294293293293293294295294294294294294294295296296295295295294294294293293293294294294294294293293293294293293293293293294295293295294296294293294294294293293293292292293294293294294295295295295294294294294294294295294294294295295295295295295294294294295295295295295294295295294294295294295294294294294294294295294294295293293292291292292292291293291291291290291290290291291291292292292292292291291291291291291290 999999999304304305302302301300300301301301300300299299300298300300300300299300301300302302302301301301301300300299300299298298297298297297296295296296295296296294294294293294294294294294294294293294294294294295294295294294294295297297297297297296297297296297296296296296296297295296297297298297298298299297297299299298298298297298297296297295295294295294295294294294293294295298297297300299296300300299299298297297296297299298299298299299297299301301300296302301301301300299299300302302302306303300301302302303302303302304303303301300301302301301303302302303302301302298300302300301302301300301301301300301300300299300300298299299300300300302301300299300300301300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298299300299299300300303301301301300300299299299298297297296296296297296296296296296297296296295296297298296296296295293293295297296296295296296296296294296297298297297297296297297297298297297298298297298298297298298298299299300299299299299299299300301301301302302302301302302301302302302303303303303302301301301301302301301302302302302302304304304304304304303303303304303305304304304304304304303303303304304304304304305305305305305305306306306306305307307307307307307308307310309308307308307307308308308307307307307308307307307307306306305305305305306306306306305307305307306306305304304305305305304304303303303303302302302302302302303303302302302302301301301301301300299300300301302302301302301301301301302301302302303304304302303303303303304303303303303303302302303303303303303302302301301301301301301302301301301302301301301300300300300300301301301302302302303302303302302302302301300300299299299298299299299298299298297298298298297298298298297297297297297297297296296297297297297297298298298299299298298298298298298298298298299299300299301300301301299300300300299299300299299299299298298298298298298298298297296296296297297297296295294294294294294295296295294294295295295295295295295294294294295295295294294294294293294295294294295295295295295294295293293294294294293294294294294293293293293294293294294293295295295295294294294294294293293292293293293293292293293294294293295295295295294294294293293294293294294295295295295294294295294294294295295295295294294294294294295295294294293294294294294293293293292292292292292292291292291292291292291290291291291291291291291291291291292291291291292291291291 999999999999305305304301301301300302300300298300298299300299298300300300300300300300302303302301301302302302301301300299298298298297297296296296296296296295295295295294294293294294294294293294294294294294294295294295295295296297297297297298296298297297296296296296296296297297295295297296297297297299299298298298298298298298297298298296296294294294294294294294294294294294295295297296297296296297297297297297297298297295298298298299295298300301300299302301302302303301301302302304303302303300302301302301301302302303302303304302302302302302302302304303303302302301301301299300300300301300300300301301300299300300300300300300300300301300300301302301298299299299298999999999999999302303999999999999999999302297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299300300300302302301301300299300299299299299298297297297296296296294297296296296297296294297296298296297296294293293295295295296295296296295296296296297297296296296297296296297297297297297297297297297297297297298298299299299299299299299300300301301302302303303302302302302302302302303303302301302300300300301301300301301302302302302302303303304303303303303303303304303304304304304304304304304304304304304304305305305305305306305306306306306306306306307308308307307308308309308307307307308307308308308308307307307307306307307307306306305305305306305307305305305306306306306306304304305304305305303303303303303303302302302302302302302302302301301301301301301301300300300300300301301301301301301301301301302302303303303303303303303304304304303303303303303302303303303303304303303302302301301302301301301301301301302301301302301301301301301301301301302302302302302303302302303302301300300300300299300300299299300299299298298298298298299299298298298298297297298297297297297297297297297299300299300299298300299299298299298298299299300300300301300301300300300300300300299299300299300299299299298298298299298298297297297296297297296296295294295295294294295294295293294294296295294295295295294295295295294294295294296295295295295296295295295295295295295295294295294294294293295295294294294294293293293293294293293293296293293293293294293293293294293293293292293293292293293294293293294294293291292292293293293293294294294295295294294294294294294293294294294295293295294294294294294294295294294295294293293293293292291291291292291292291292291291290291290290291290290290290290290290291291291291292291291291291 999999999999302302301301300301300303302301300300299299299299301301301301302300298301303303302303302302302302302302301301300299298297297297296296296296296296295295295295294293294295294294293294294294294295296293294295295296297298298297298296298298297297297296295295296296297295295295296296296296296296297298298297298297300298297297297296297295295294294294294295293294294295295296295295296296296298297298297298298297297297298298299301299298298301301302302302304304303303305305302304305302300301302303303302303302302302302302301302302301302302302303303301300301301301300299298298299299299300300301300301299299299300300300301301298300299301301302303302301300300300298999999999999302303305999999302307999999302300301302302301999999999999999999999999999999999999999999999999999999999999999999999999999296299302300300300302302302299298299299298297299299299297298297296297296297296295294295297295295298299298297297297295294293294295295294296295295294296294295296296296296296298296297298297298297297296297297297297297298298298299299299299298299299300301301301302302302303302303303302303302302300302302302300300300300301300300300301302302302302302303303304302302303303304302303303304304304304304304304304305305304304305305305305305305305305306305307307307307307307308308307307308308309309307307308307307307308307308307307307307307306307307307306307306306305305306307307305307306306305305305305305305305304303304303303303303303303303302302303302302302302301301301301301301301300301300301301300301300301302301301301301302302303303303303303304304303303303303303304303303303303303303303303303303303302302302302302302302303302302302302301301301301301301301301301301302302302302302302303303302301301301300300300300301300300300300299298298299299299300299299299298298298298298297296297297297298298298298300300300299300300300299299299298298299299300300300301300300300300301300300300300300299299299299298298298298298298297297297297296297297297296296295295295294294293294295295294294294295296294295295295294295295296297296296295295295295298297296295295295296295295295295295294294294294294294294294293293293294293293292292293293293293293293293293293293293293293292292293293292292292292293293293292294293293292292292292293293293293294295295294294294294294295295294293293294294293294294295295295294295294294294293294294293293293292290291292292292290290292291291291291290290290290288288289291291291291291291291292292293290291 999999999999304304303298298299300302302302301301301299299301302302303302302301301303304304303303303303302302302302302301301300300299298297297296297296296296295296296296295294294295295293293294294294294296296295295294295296296297297296296296299296297298297296296296295295295295294295295295296296296297297297297297297297297298297296296297295296294294294294293293294295294295297298297297296297298299297298298298298297298299299299300302299301298301302302302302304304304303301300303303303302302302302302303303303303304304303302302302302302302301302302302300300300299300300298298297295298299299299300300300301299299300300301302300301301301300301303304304303302300301300999999999307302305307999999307999999999300300299302301302302999999999999999999999999999999999999999999999999999999999999999999999999999299299300300300299300301300300299298298297297299298297297296297297297297296295296296296298297298299297297295297295292294294294294294294296296294295294297295295296296298296298298298298297297297296297297297297298298298299299298299299298298298299301301302302302302302302303302302303301301302301300300300300300301301301301300300301301301302302302302302302302303303302302303303304304304304304303304304305305305304304304305305306306306306306306307307306306305307307307308311307308309308308308308308306307306307307307307306306306307307306306307307306306306306305307307307307306306305305305304305305304303304303303303303303302302303302302302302301301302302301301300300300300300300300300301300300302301301301301302302302303303303303303303303303303303303303303303303303303303303303303303304303303302302302302302302302302302302302301301301301301301301301301300301301301302302302302303302301301300300300300300300300300300300299298298298298298298300298299299298298298298297298298297297297298298298298299300300300300300300300299299299299299299299300300301300300301301301300301301299299300299299299298298298297297297297297297297297296296295295295294294294294293293294295294295294295293294293294295296295295296296295295296295296296297297297296295295295295295296296295295294294294294294294293294294294293294294294293293293293293293293293292294293293293293293292292293293292293291291292292293291293292292293293292293292294292293294294294294294294295295295295294293293293295294295294294294295294295294295294294294293294294293292292292292292292292292291291291292291290291291291290290289290291291291292291292292292292291291 999999999999999302303301299296301300302304304303303299300302305305306305304303303304303304303303302302302302301301301301300301299299298298298297298297297296296296297295296295295294295295295295294295295295295296295296294295295295295295296297297297297296295295294294294294294295294294295295295295296298297297297296297297297297297297297297296295295295294295295295296296295296297296297295297299299299299299299300299299299300300299300301301301300301302302302303304303303303302302303304302303300303303302304304305305305303305303303303303303302303302301301299300299301300299299298297296298299299299300299300302300299300300300301301301299302301301303304303304304304301304999999306304305306307304304303301300999300300301301301300303999999999999999999999999999999999999999999999999999999999999999999999999999298299299299299298299301300299299299299297298299298298296297297296297298297298297298297299295296297296296297297295295294294293295296294295294294294293296295294296296295296296297297296298298298296296297297298298297298299299299299298299298999300301301301302302302302302303301302301301300301301301300300299300300300301300300300300300301301301301301302302302301300302302303302303304303304303303303304304304304303303304304305305305305306306305307307306306306307309308309310309309308308307308308308306306307307307307307306306306307307305307307307306307306306307306306305305305305305305304305304304304304304303303303302303302302302301302301302301301301301301301300300299301301301301300300300300301301301301302302303303304304303304304303303303304304303303302303302302303303303303303303304303303302301303303303302302302302303302302301301301301300300301300300300300300301301302302302301302301301300301300300301301302302301299299298299299299299299300299299299298299298298298298298297298297297298299298299300300301300300300300300299300300300300299301300300299300299300300301300301299299298298298298298298297298298297297298297296296296295296295295294293294294293293294294294294296296294295295294295295295296296295298297298296296296296296295296295295296296296295295295294295296295295295294294294294294293294293293292293293293293293293293293293293293293293294293292293293293292290291292294293291293293292293292293293293293294294294294294295295294295295295295294294294294295295294294295294294294295294294294294295293295295293293294293293293292294293293292292292291292291291291291290290291292292292292292292292292292291 999999999999999299302300300300302301305305307307305301302305307307307306306304304304304303302301302302301300300300300299300299299298298298297297296297297296296295296295294296294294294295295295294296296296295296295295294295295296296296297298298298297297296295295294293294294295294295295295295296297297296296296297297297297297297297297297296295295295295296296296295295296298298297298298298299300299298299299299300299300301301301301301302301301303304302304304304303303303303303304304302302307307306307305306305302303302303304303303303303303302303301301300299300296301300299299298296298298299299300301302302300300301301301301301301302303303303303304303304302300298999999999999302305306307999303303303301300301302302302301300303302999999999999999999999999999999999999999999999999999999999999999999999999299299299299298298299300299300297298298298299297296298296295296298296297298298299297298296297296295296295295296294295294294294293294295294294295295295296297296295298296296295297297297299298298296298298299299299298299299298298298299300298299300301301301302302301302302302302301302301301301301301300300299299300300300300300300301301301301301301301301301301301302302302302302304303302303303303303304304304304304304303304304305305306307307306308307307307309309308307310310309309309310308308307308308309307307306307306306305305306306306307307305305306307306306306306305305305304305306304304304304303304303302302302302302302302302302301301301302302301301301302301300301300301301301300300300301301301303302302303304303304305305305303303304304304304304303301303302302303303303304304303303303304303302303303303303303303303303302302302301301301301301301300300300300300300301301302302302302302302301301301301301301302302302300299298299299300299300299299299298298299298299299298298298298298298298299299300300300300301301300300301300299299299299300300300300299299300299300300300300299299299298299298298298297299298298298298296296296295295295295295295295295293294295295295294295295295295296294295295295296296297297299298298296297297297296296296296296296297296296295295296295294295295295295295295294294294294294294293293293293293293292292293293293293294293293293292292292293292292292292294294292293292293293293293294294293294294293294294294294295295295295294294294294295295294295294294294294295295295295294295294294296294294293294293293293293293295294293293292292292292291291291291291291291292292292293292292292291291 999999999999999300305304303303303300301304304302303309304307308309306307307304304304304303302302302301301300300299299299299298298297297297297297297296296296296296296296296296294294294296295296297297296297296296293294295296296297298298298298298298297297296295295294294294294294295295295295295296297297297297298299298298298298297297297297297296297296296296297297297297297296297298299298299299300300299300300300301301300301301301301302303302303303303303302303304304303302303302303305308309307310305305305306303303302999999304303304303305304303302302301301301302301301296299299299297296298299299297301300300300301301301301301301301302303303303302302303303301298295999999999306304304305304302302303304303303304304304303304302303303999999999999999999999999999999999999999999999302999999999999999999999999299299299298298299302300301300298300300298298296295296296296297298298297298298297297297297297297295295295294295296296293294295295293297294294294296295296296296296295298295298297297298296299299297299299299299299299299299299298298298299297299300300301302302302300301300301302301302301300301301300300300299299299300299300300300301301301301302302302301300301302302302301302302302303303303303303304304304304304303304305304305306306306306307308308307307308309309309309309310309309309308309308308309309309309307307306306306306305306306307306306306305305306306306304304305306305304306305305304305304304303304303302303303302303303302301301302302301301301301301301301300300300301301301302300300301301301302302303303304304304304304305304304304305305305305304303303303302303303303304304304304304303302304303303303303303303303303301302302302301301301301301300300300301301301300301301302302302302302302302301301301301302303302301301300300301300300300300299300300299300299298299299299299299299299298298299300299301301300300298300300300299298299300300301300299300299299299300300301301301300299300298298298298298298298298298298297297296296296296296295294293295295295295295294295295295296296297296296297297297296298297298298297297297298297297296296296296296297297296296296296296295295295296296295295295295294294294294294293293293294294293292294294293293293292292293293293293292292291293292294293293294294293294293293294293293294294294294294294295295295295294294294294295295294294294293293293294294295295294295293293295295294294293293295294294294294295294294293293293292292291291291291291292292292293293293293293292292292 999999999999304304306303303301301301302305305304311311306308309305306307306305305305304302301301301301300300300300300299298297297297297297296295296296296296295295296296296296293296295296296297297297296297296293296296295296297297298299299298298298297297296295295294294294294295294295295296296297297297297297297298298298297298297297297297297297297298297297297297298298298298298299300300300300300301300301300301300300300301301302304302303302303303303303302303301302302303301301305312313312311311308307305304304304303999305304303304304303302304303302302302301301301302302301300299297296297300300300301300300301301301301301301302301302303302301301302301303300297999999999306308303304302303302301303305304304305304306306304303302999999999999999999999999999999999999999999999999294295999999999999999999296299301300299301301301302301300301300301299297297296297298298298298298299298299300297297298298297296295295296295296295295295295294294294294295295296295295295294295297298298296295295298299299299300300299300300300300299299297298298298298299299300301302302301301301301301301302302301301300301301301300300300300300301299300299300300300301301301301302302302302302302302301302302302302302302303303303303304304303304305305306306307306307307307309308308308308310309309309310310310309308308308308308308309309309308306307307307306307307307307307305306305305304306306304304304304305304305305304304304304304303304303302302303303303303302302302302302301302301301301301301301302301301302301302301301302302302302303304304304304304304305305305305305305305305304304304304303303302304304304305305305304304304304303304303303303303303302302302302302301301301301301300301301301301301301301301302302302303302303302302301302302302303302302301300301300301300300300300300299299300300299299299299299299299299299299300300300302301300300300300299300300300300300300300301301300299299300299300300301301300299298298298298298298298299298298297297296296296296296296296295295295296295295296295295295295296297297296297297297298297297297297298297298298297298297297297296296297297297296296296297296296297296297296296296296296295295294295294294294294294294294294294293293293293292291292294294294292293293292293295295296294297295294295295293294294293293294293294295295294295295295296295295294295295294294294295294294294295295295296294295295293295295294294294295294295295294295294294294292292292292292291291292292293292292293293293292292292292 999999999999999999999299301301301302301301303304304305307306305307306306306306306306304301301301302301301301299300299299298298298297297296295295296295295296294295295296296297295295295297297298297297297297294296296296296296297297298299298298299298298297296296295295295293294294294295296296297297297297296297297297298298298297297297297298297297298298298298298298298299297299299299299301300300301301301300300300300300301302302303304303304303303303302303303304304303303303302302313314314310308305307306302302307307304304305303304305304304305305304301302302300301301303301300301299298297298297299299299300301302302301303303302302302302302301300300300300300299296999999999307306304304303305303304303303304304303303305305304303999999999999999999999999999999999999999999999999298999292294999999999999297296298299299299301301301302303300300299300299299298297298299299298298298299298299297298298299298297295296295296295296294295295295295295295295293293294294294294295294297295295295296298298298299299300299299299300300300299299299299298296299300300300301301301301301300300301301302302302301301301301301300300300300299300300299300300300300301301301301302302302301302301302301302301302302302302302303304303304303304304305306306306306307309309308310309308308308310309309310310311311309309308309308309309309309308306306307307306306307307307307306306305306306306307306306306305305305304305306304304304304304304304303303302303303303303302303303302302301301301301301300300301301301302302301301302302303303304304304304304304305305305305305305304306305305305304304304304304304304303305304305305304304304304304304304303303303302303303303302302302301300300301301301301301300301301301301302302302303302303302302302301302302302303302302302301302301301301301301300301300300300299300300299299299299300299300299300301302302301301301301301299300301300301301301301301301301301300301300300300300300299299299299299299299298298298299298298297297297297297297296297296295295295295295296295296296296297296296296297296297296297297297298298298298297297298298298297297297297297297296296296297297297297297297297297296296296296295295295295294294294294294294294294294293293293292291292293293294292294294294292294297296296296294294294294294295294293294293293294294294294294295294295295295294294293294295294295295294294295295295295294294294294293294295295294294294294294294296295294294293292292292292291291291292292293292293294293293293293293 999999999999999999999999303303301302303302298302306303304300306307306307307306307307303302302301301300300300300299299299298298297297296296296296296296295295295295296295294297295295295296297299298298297298296296296296296297298298299299299299299298298297297296296296295295295295294295295296296296297296296297297298297298298297297297297298299299299299299299297298298297299300300300301301299300301300301300300300300300301301302302304304303303302302303303303303303303303303302310314314313309307308308299297999300303303999305305304305304303303304302302302301303301300303302301300299298298298298299299299300300301301302303303302302303301302301300299298297297297296293999999305305305304305305303302303303302302304305303304302301999999999999999999999999999999999999999999999300298999296298999999999295295296298300299298300303301301303301300300299299300298298298298299299300299299298297298299298299298297297297295295297297295293295295295295295294294293293292294295295295296295294295296296298300299299300300300300299300300300300300297297299300300301301301301301301301301300301301302301302301302302301301301301300300300300300300300300301301302302302302302302302302302302302302302301302303302301301303302304303302303304305305305306307308309310310310310308309309310310309309310310312310308309309309309309310310308308307307307307307308308307308306306306305306307307307306306305305305304305306304304304305305304304303303302303303302302303303302303302302301302301301302302302301302303302301302302303304304304304304304305305305305305305305305306306305305305304304304304304304303304304304304305304304304304304304304304304303303303303303303303302302301300301302302301302301301301301302302302302302302302302302302303303302302303302301301301303302301301301301300300298301300300300300300299300300300300300300300301301302302301300301301301300301301301300300300300301300301301301300300300301301300299299299299299299299297298298298298298296297297298297297296296296296296296296296296296296296296296297297297297297298297298298298298298298298299298298298297297297297297297297297297297298297297297297297296296296297296297296296296295295294294294294294294293293292292292292293292294294295294296295296295296295295295293293294293293295294295294295293293294294295295294296296295296296295294295295295294293294294296295295295294295295295294294295295296295295295295295295295295294293293292292292291292292292292292292293293293293293292293 999999999999999999999999999999302302302999302302301301299302304305304307308307308306301302300299299299299299299299298298297296296295294295294295295295294294294289294295296296296295295295295297297298298296296296296296297297298299299299298298298298298297297297295295295295293294294295295296296296296296297297297297297298298298298298299299299299299300299299299300299296297296299300301301301301301301300300301301301301301301302302303303304303302302303303303303304304304303310311315314311310308309308299306999304304999999308305305304302302302302302302303301302301301301301300300299299299299299298299300301301300302303303302303303302300300301299297295293296296296296296297302303305305304306303303303303303304304304303305303302999999999999999999999999999999999999999999298298297297297298299999296296297298299299299298298301302302302297299299299298298297297299297298298299298297298299299300298298297297296295296296296295293292295295295293294293293293292293294294295295296296296295296297298300300300300300300300300300300300300300298298300301301301301301301301301301301301301301301302302301302301301300301301301300300300300300300301301301302302302302302302302302302301301301302302301303302302302302301303302302303304303304305306307308309308310310309308309310310310307307309310310309308310309309308309308308308307307307307307307308308308307306306306307307307307307306306305305305304305304304304304305304304304303302303302303303303303302303302303302303302302302301302302302302303302302302302303303304304304304304305305305306305306306306306306305305305304304304304303303303303303304304304304304304304304303303304304303303303303303303302303302301301302302301301302301301301301302302302301302302302302302302302303302303303302301301301302303302302301302301300999999300300301301301301300301301301300300299301300300301301301301300301301301301301300300300299300299298300300298299301301300301300299300300299299299298299298298297297297297298298298298297297297297298297297298296296296298297297297298298298297297298299299299299298299299299299299299299298298298298298298297297297298297297297297297297296296297296296296296296296295295294294294294293293292292293293293293294294294295294294294296297296294295294293293293293295295295295295295294294294294295296295295296295296295294295295294294294294295295297296295295295295295295295295295295296296294294295295295295295295294293292293292292292292292292292292292292292293292292292 999999999999999999999999999999999999999999999999298298299301302305306304305307307305302301299298298298298298297297296296296295295295293294293293294294295294294295295293295294294295295295297298297297297297296296296297296297297298298297298299299297297297296295295294294294294294293294295295296296296297297297298298298298299298299299298298299298298298298299299300300298299299300300301301301301301301301301301303303303303303303303304303304303303303303303303304305304311307308307307306309308306309307299999999302302999999305304302303303303303301301301303301302301301299300300301299299299299299298298299301301302301301302303304303302301299298294293294293296298296295296296299301304305304303304304304304303303304303302304303302999999999999999999999999999999999999999999297297298298298296298999297296298297298299298296298299300301302300297300299300299299297298297296297296296298298299299298297296297297296295296295295292294293293294296293294293294293293293293294294295296296297296297298299299300300301301301301300300300300301300299299300301301301301301302301301301301300301302302302302301301301301300301301301301300300300300301301301301302302302302302302302303302302302301302301301301302302301300300301301303303303304305305305307307308307309310311310308309309308307308310310310310309310310308308308307308307305306306307307307307307307307307307307307307308307306307307306305304304304303304304304305304304304303303303303303303302303303303303303303302302302302302302302303302303303303302302303303304304304304304305305306306306306306306306305305305305305304304304303304303303303304303304304304304304304304304304304303303303303303303303303302301302301302302302302301301302301302302302302303302302302301302302302304302302302302301301302302301301302302302300301301300301301301301301301301301301301301300300300300301301301300300300301301301301301300299300300300299299299300299300300300300300298299298300299299299298298297297297297297297298298298297297297298297297297297297297297298298298298298297297297298299299298299300300299299299298299299299297298298298297297298297297297297298297297297296296296296296296296296296295295295294294293293292292291292292292293293294293293293294294294294293292293294293293293293292294294294294294294295294293294294295295295295295294295294294294294294294294294295296296296296295295295294296296295295295296295295295295296296295294293293293292292292291291291292291292292292292292292292292 999999999999999999999999999999999999999999999999999297300300301303301303304305307304303301299298298298297296296296295295295295295296295295296295295295295294294294294295295293295296296296296298298297296297297297297296297297297297298298298298297297297297296295294294294293295294294294296295295296296297298297298299300300300300300299299299299299299299299300300301300297300301300300301302301302302302304302302303303303304304303303304303305304304303305304304309304304305306310308309308309306306308306303999999302999999999999310305304303302303302298301300301300300300299300300300299299299299300299298299299300301301302302303304302301300295295293295295295295296300999999999297303304304304302303303304304303302302302303303303301999999999999999999999999999999999999999999297296295295295295296999295297297298298298297298298299300299300300298298298299298298296297296296296296297297297298298298296296297296296295293295294293293293293293294293294294294293294294294294294295295296297298297298299299299299300300300300301300300300299298300300300301301301302301302301301301301302301301301301302302302301301301301300301300300300301301301301301301302302302303302302302302302302303302302301300301301302301301301300301302303302303305305306306307309308309310309309308307308307309308309309309309309309309308308308308307308305306306307307307307307307306307306307307307308307307306306305305304304305303304304304304303304304304304304303303302302303303303303303303303303303302303302302302303303304304303303303303304304305305305305306306306306306306305305306305305305305304304304303303303303303304303303303304304304304304303304304303303303302302302302303303303302302302302302302301301302302302302302302303302302302302303302302302303302302302301303301302301301302302301301300301300301301301301301301301301301301301301301301299300301301301301301301300301300300300300299300299299300299299299299300299300299299300300300299299299298297297297297297297297297298297298298297297297296297297297297297298298297297298298297298299298299299299299299299299299299299297298298298298298297296297297297297297297297297297297296296296296296296296296296295295294294293293292291291292291291292292294294293294295293293293292292292293293292293292293293294294295294295295294294294295295295296296296294294294294294293294294294294295295295296296296296296296296296295296296295296296296296296296295294294293293292291291291292292292291291291291292292292292292 304999999999999999999999999999999999999999999999999298301300301301303304306306306304302299298298297297297295295295296295295294294295294295295294295295295295295295294295294295295296296296296296294296296296296294297297298298297298298298298297298298297297296296295295295295295293294294295295295295296297298298299299300300301300300301300301300300300300300300300301301301301301301301302302302302304302303303303303303305304302303302304303304304305304304304305305304304305305307307310308307307307307305999999999999999999999999999999303302303303302301301301300300300300299300300299298299299299300300299298299299300301301302303303302299296294295294295296295295295295999999999301304303303303302303303304304302301304304303304302301299999999999999999999999999999999999999999999295295295295296295999298296295298298298298298297299299298298298296297298297297298298297296296296296297296296297297297296297296294295294293293293293292293293293293294292292293293293293293293294295294296296297297298298298298298298299299298299299300300299299299299300300300300300301301300300300300300300300301301301301300301300300300301301300300300300301300301301301301301301302302301302301302302301301301301300301301300301301301301301302304304305304305305306307307306308308308308308307306307307308307308307309309308308307307307308306306305306306306306306306306306306306306306306306306306306305305304304305304303304304303303303304303303303303302302302302302302301302302302302302302302302302302302302303303304303303303303303303304304304305305305306305305305305305305304304304304304304304304303303303303303303303303303303303304303304303304303303303303302302302302303302302302302302302302302302301302302302303302302302302302302302302302302302303302302301302301302302302301300301301301300301301301300301301301301300301300300300301301301301301301301300301300300301300300300300300300300300300299300300299299300300299299299298298300299299298298298298298297297298298298298298298298298297297297297297297297297296298298298298298298298298298299299299300299298299299298298298298299298299299298297298297298298298298298297297297297296296296297296296296296296295295294294293292292292293293293293293293294293293293293293293292292292293293293294294293294295295295294294295295294294294294295296295295295295294294295294294294294295294295296297297297297298298297297296297296296296297297297296295295294294293291291292291291291292291292292291291292292292292294 304999999999999999999999999999999999999999999999999999298297302301302304304304305303300298298298297297295296296296296296296295295295294295294295295295295295295295295295295295295296296295296296296297297297298297297297298299298297298297298297298299298297296295296295294295295295295295294295296296297297297298299300301302302302302302302302301301301300301301301301302302301301302302303303303304304303303303304304305304303303304303304305307305305304305304304308308308306305310305308307308307307301305999999999999999999999999999999999999303303302301300299301300300300301301301299298299300300300301300299300300301301301302303302299294294295295294295295294295297297999999303303303303303304304303303304304304305305305304304303301999999999999999999999999999999999999999999999999295295296296296999295297297297298298297298298298299298298297297296296296298298297296296297296296296296296297297297296296296295294293293293293293292291292293294293292291292292293292293293293294295295296296296298298299299299298299299299298299300299299299300300300300300300300300300300300300300300300300301301301301300300301300301301301301301300300300301301301301301301301302302302302302302302302301302301301301301301301301301301302302304304305305305306306307307308308309308308308307306307308308307307307308308308307307307307307306306306307306306305306306306306306306306306305305304306306305305305305305304304303304303303303304303303303303302302301301301302301301301302302301301302301301302302302303303303303303304303303304303304304304304305306305305305305305305304304304304305304304303304304303303303303303303303303303304304304304304304303303302302302302302303302302301302302302302302302302303303303302302302302302303302302302301303303303302302302302301302302301302301301302302301301301301301301301302301301301301300300301301302301301301301301300300301301301300300300300299300299299299299299299300300299299299298299299300300299299298298299298298298298298298298298298298297297297297298297297297298297297297298298297298297297299298299298299299299299299299299298299298299298298299298298297299298298297298298298297297296296297296296296296296296296295295295294293292292293293293293293293293293293293293293292292292292292292293293293294294295295295294293295295296295294295295295296296296295295295294294294294294294295296296295296297296297296298296297297296297297296296297296295295294294293292292292293291291291291291291291292292291291292291 305999999999999999999999999999999999999999999999999999999297302302303302301302301302299297297297297296296296295295295296295295294294295294293294295295294294295295290295295294295296297296296297297297297297297298297298297297297297297297297297295297298297296297295295294294294295295294294295296297297298298299300301302303303303304303302303303302301301301301302302302301303303303302303303302303303303303303304305308305305305304304304304304305305305304305310308309309308306307306307308307306304999999999999999999999999999999999999999999304302302301301300301301300301301301300299299300301301301300300300300300301303303303302298297293294296296295295296295295296297297301303303304303302304304304307304305305303305306306305304302299999999999999999999999999999999999999999999999296297297297297295295296298298298298298297297298298298297298293297296296296298298297296298298297297297296296296295295295296295294293293293292291291291292294293293292291292292292292291292294294295296296296297297298299299299299299299299299300300299298300300300300300300300300301300300300300300300300300301301300301301300300300300300301301300301301301301301301301301302302302302302302302302302302302302302302301301301301301302302302303303304305306305306306307307308308309309308309308308309308308307307307308307307308307307307306306306307307306306306306306306306306306306306306305307306306306306304305304304304303304304304303304304304303303303302302302302302301301301301301302302302302302303302303303302303303304304303303303304304304304305305305305305306305305305305304304304304303304303304304304303302303303303303303303303303304304303303303303302302302302302302302303303303303302302303303302303303302302301302302302302302302303301303303303303303303302302302302302302302302302302301301302302301302301302302301302301301301302301301301301300301301301301301301300301300300300300299300299299299299300300300300299299299299300301299299299298298299299299298299298299298298298298298297297298297297297297297298297297297297297297299298298297298298298298298298299299299299299299299300298298298298298299298298299299298298297297297297297296296296296296297296296295295295294294293293294294293293293294292293293292293292292292291292292292293293293293294294294294294294295295295295295295295296296296296296295295294294294294295295295296296296297295296296296296294295296296295295296296296295294294293293291291291291291291292291291291291291291291290291291 305305999999999999999999999999999999999999999999999999999999308304303301301301301299299297297296296296295295295294294295295294294294295295295294295294294294293294294293293294295296295296296296296296297296296296296296295297296296296297296297296296297297297295296295295295295295295294295295296295297297298300301301302303303305304304303304303302302302302302302302300300303302303303303302303303303303304305304306305304307306306304304304306304305305306307307309308307306306307308308308304306999999999999999999999999999999999999999999999304304303301301299299300300301302302300299300301301301301300301300300301301303302300297297295293294296296296296295294294296297302303303302303304304304306304305306306304304305306307306304303302300999999999999999999999999999999999999999999999297297297297294296296298298298297298298298298298298298298299297298297297297298298297297298296296296296296296295295295294294293292293291292291292292293293292292292292292292292292292292293295295295296296297298298298298299299299300300299299300300299299299299300300300300300301301300300300300300300300300300301301301301301301301301301301301301301301301301301301302302302302303303302302302302302302303302302302302302302301301302302304304305306306306306306307307307307308308308308308308308308307307307307307306307308307306306305306307306307306306306306306305306305305306306305305306305306306304304303305304303304304304304304304304304303303303303303302303302301302301302302302302302302302303303303303303303304304304304303303304303304304305305305305305305305305305304304305304304304304304304304304304303304304303303303304303304304304303303303303303302302302302302302303303304304303303303303303303303302302301301302302302302302302302302302302303303302303303303302302302303302303302302302302302302302302302302302302302301301301302302302302301301302301302302301301301300300301300300299300300299300300300300299299299299299299299299299299299299299299299298299299299298299299298298298298298298297297297297297297297296296297297296296297297298297297298298298299300300299299299300300298298298297298297298298298297297298297298298296296296295295296296297296296296296296295295294294294294294294293293292292292292292292291291290291292293292292292292293294293294293294294294294295295296295296296296296296295295295295294294294294295295296296296296296296297297297296296295295295295295295295294293293292291291291291289291291290290290291291291290291290292 305306305999999999999999999999999999999999999999999999999999999999999304301300301301299298296296296296295295294294295296296296296294296295295295295293293293292293293293294294295295295298296298296296297296295296293295295295295295296297297297297297297297297297297296296296295295295294296295295295297299299301302302302302303304304304302303302302302303302302302302301301301301302302302302303305303304305303305304306306306307305305304303304304305306305306306306307306308308307307307307303303999999999999999999999999999999999999999999305307305302302300300299300300302302301301300301301301300300299299300300301300300297294295296296293293293294294294294293293293297301302301301301302304303305306304306304304304306305305304304302301299299999999999999999999999999999999999999999999295297297296296295296297297297297298297298298298297297297298298297297296296296296296296296296296296295296295295295294293292293292293292291291291292293292292291292291291292292292292292293293294295295295296298298297298299298298299300300300300300299299299299300300300300300300300300300300300300300300300301301301300300300300300300300301301301301301301301301302302302302302302302302302302302302302303303303302302302302301302302303303304305306305306305305306306307307307306307308307308308307307307307306307307307307307306307306306306306306305305306305305305305305305305305304305305306306303304304305305305304304304304303304304304304303303303303303303302302302301301301301302302304303302303303303302303303304304304304304304303304304304304305304304305304305304304304305305304305304304304304303303303303303303304303303303303304303304303304303303302302302302302302302303303304303303303303302302302302302302302301302301302301302301301301301303302302302302303301302303302302302302302302302302302302302301302302302303302301301302302302302301302301301300301302301301301300301299300300299299299299299300300299299299299298299299299298299298299300299299299299299299299299299298298298298298298297297297297296297297296296296297296296297296296296297297297297297298299298299299299298299298298298299298298298297297297296297297298298296296295295295296296296296296296295295295294295294294294294293293292292293292292291291291291292292292292294292292292293294293294294294294293294294295296295295296296296295295295295295295295294295295296296295295296296298299297298299297296296295295295295295293293292292292291291291291292291291290291290291291291292291292 306306306999999999999999999999999999999999999999999999999999999999999999301303305302302301296295296295295294293295295295296296296295295295293294292294294293292293292293294294294295295295298298297297296296296295294295296295295297296296297297298297298298298297298297297297297297297297297297297297298299300301303303302303304309304304303304303303302302303303303302302301301301302302303303303304304306307304307307307308307306304305305304304306306305306307308307307306308308309307308307304999999999999999999999999999999999999999999999305308304303302300300300300300302301302301302302301301301299299298298299299298294294294295297295293292999297292292290289290295296299301301301302301303303304305304304305304305305304305304303301300300299299297999999999999999999295295999999999999295295294296296296296296297298298298298297297297298297297297297297296296296295296296295295295295295294294295295294293293292293294293291290290291293292292292291291291291291292292293293293292293294295295295296297297297298298299299299299299299299300299298299299299300299299300300300300299299300299300301301301301300300300300300300300300301301301301300301301302302301301301301301302302302301302302303303302302302302302302301303303303304304305305305305306306306306306306306306307307308308307307307307306307307307307307306306307306306306305305305304305305305305304305305305303304304304305305305305305305304305304305304304304304304304303303303302302302302301302302302301301301302302303303303303303303303303303303303303304303303303303304304304304304305304304304304305305305305304303304304304303303303303303304303304303303303303303303303303303303303303302302302302302303303303303303303303302302302302302302302301301302302302302301302301302301302303302303303303302304304303304304302303302302302302301302301302302302302302302302301302302302302301301301302302301301300301300300299299300300299299299300299300300300299299299298298298297298299299299299299299299299299299299299299299298298298297297297297297296296297296296296296296296297296295296297297297297298298298298299299299299299299299299299298298298298297297298297297297297295295295296296296296296296296296295295295295295295295295294295294292292292292292292292292293293293294294295293294293294294294294295294295295295295295295296296296296296296296295295295295296297296296296296296297297299299298299299298297297296296296296295294293293292292292292292292292291291291291291291291291291292292 306306306306999999999999999999999999999999999999999999999999999999999999300302305306302299297295295295294293294294295295295295295295294294294293293294293294293293293293293293293294295295297296296296296296296295295295295295295296297297297298298298299299299297298298298297298298297297298298298298299300301302303304303303304307304304304303303302303304303303302303302302302302302303304303304305305306305305309308308308305306304305307305306305306306307307308308307305307309309308307306305999999999999999999999999999999999999999999999999305307999305302300300300301301301302302302302301301301299299298297297300299300295295296297296293999999999999999292292295297299300300300301302302302305305306305304306305305305304304304303302302300300301300299299999999999999295295999999999999293293294294295297297297297299299298297297297298297297298297297297296295295295296295296296296295295295295294294294293293293293293293292291292294293292291291292290292293293293293292294293293293294294295295295296297297297298298299299299300299299299299299299300299299299299299300300300299300300300300300300301301300300300301301301300301301301300301301300301301301302302301301301302302302302302303303303302302302302303301302302303303304304305305305305305306306306306305306306306307307307307308307307307307307306307306306306306306305306306306305304305305305305304304304304304303303304304305304304304304304305304304303305305304305304303303303302303302302302302301301301301301302302303302302302303302303302303303303304304304303303304304304304304304304304305304305305305305305305304304303304303304303304304303304304304304304303303303303303303303303303302302302302302302303303304304304303303303303303303303303302303302302302302302302302302302302303303302303303303303304303304303304303303303304304303303303303303303303303303303303303303302302302302302302302302302302302302301301300301300301300300301300300301300301300299299300298298299300299300300300300300299300300300300300299299298299298298298297297297297297297296296296296296296297297296297296297297298298299299300300300299300299299299300299299298298297298297296297297297296296296296296297297296295296296296296296296296296294295294295294294293293293292293293293293293293294293294293293293294294294294294294294295294294294295295295296296295296295295294295296297297296296295296297297298298298300298298297298297297295296296294293293293292292291292291291291291290291290290291291290292292292 307307307307999999999999999999999999999999999999999999999999999999999999999305305303304302298296295295293293294295296296296295296295295294294293293293293294295295294294294293294294296296296296296296296295296295295295295295296297297297297299298299300300299299298299299299299299299299299299299298300300301302303304304304305305304306303303302304304303303303303304306302302306302302304305304307306308310305310304304305304305305305306306306306307307307307307306307305306308307307306307999999999999999999999999999999999999999999999999999999999999999304299299298300300302303302300301300301299297301297297297297295297297297297298297294291298293299299298299301301300300300300300300301299303304305305304305304305305304303303304304302301300300300299299300297297293292999999999999293293294295292294295297299299298298299299298298297297297297297297296296295296295296295295295295294295295295295294295294295295294293292291292294294292292292293293292293293294293293293294293293294295295295295295295296298298297297299298297299299300300299300300299300300300300300300300300300300300300301301300301300301301302302302301301302302301301301301302301301302301302302301302302302303303302303303303302302302303304304302303304304304306305306306306305305306306305306306306307308308307308308307307307307307307306307305306306306307306306306305304304304304305305305304303304304303304305305305304305305305304304305305305305305304304304304303302302302302302302302302301301300302301302302302302303303303303303303304304304304304304304304304304305305304305305305305305306305305305305305304304304304304304305304304304304304304304303303303303303303303303303303302303303303303304304304304304304304304304304303303303304303303303302302302302302303303302303303303302303303303303304304304304303304304303303304304304303303304303303303303303303302302303302302302301302301302303302301301301300300301301300300300300300301300300300299300298300299300300300300300300300300300300300300300299299299299299299298298297297297297297296296295296296296296296297297297296295297298298299299300300300299299299300300299299299298298297297296297296296295296296296296296296296296295297296296295297296297296295295294295294293293294293293294293293294293294294294294293293294293294294294294294294294295295295295295294295295295296296295296295299297296296296296297298298298298298298297298298297296296295295294294293292291292291292291291291291290291291291291291291292292291 307307307307999999999999999999999999999999999999999999999999999999999999999999304302303301298297297294293294295295295295295294294294295294294294294293294295295295295295294293295294295296296296296296296296296296296296295295297297297298298299300300300300300300300300300300300300299300300300300300301301302303304303304304305306306305304303303304304304303304303303303306306306306303304304304304304305305307304305305306305306307308307307307308307307308306307306307306306307307304304999999999999999999999999999999999999999999999999999999999999309306299999999298299300301302301301300299300299298299300299299299299297298298299299298295292291296302302301301304302301300301302302301301301301302303302303304304304303304304302303303301301300299299299299298296297295293999999999293294293291292294295294298297298299298298299297297297298297297298296295296294295295295294295295294294294295295296296296295295294294293292292292293293293292293293293292293293294294294294294293294295295295295295295295295296297297297299298299299299300300299299299300300300299299299299299299300300300300300300300300300301301301302301302302302302301301301301301301301302302302301302302302302302303303303302302303302303302304303303304303303304305305305306306306306306306306306306306307308307307306306307307307306307307306307307306306306307306306305305305304304304304305305304303303304303304303304304304304305305305305304305305304305305304304304303302302302302302302302302301301301301301301302302302303303304303303303304304303303304304304304305304304304304305305305305305305305305305305305305305304304303303304303304305304303304303303303303303302302302302302303303303303304303304304303303303304303303304304303303302302302302302302302302302302302302303303303304304303303302303303304304303303304304303304304304304304304304303304303303302303303302302302302302302302303302301301301301301301301301301301301300300301301300299299299299299299299300300300300300301301300300300300300300300300299299299299299299298298298297297297296296296296296297296297297297297297297298297298298299300299299300300300300300300299299298298297296297296296296296296296296296296296295296297297297296295296297295296295295295295294294294294293294294294295294294294294294293293293293294294294293294294294294295295294295295295295296298297297297296296296296296296297298297297298297298298297297297296295295296295294293293292291292292292291291291291291292291291291291291292292293 308308307307999999999999999999999999999999999999999999999999999999999999999999999302301301298295294294294294295295294293294295294295295294294295294294292296295293295295295294295294295295296295296296296297296296296295295296296297298298300299300301301301301301301301301300301300301300301301301301301301302303304303307304304305306305303304304304304304304304304307306306307306306302303303303309310304304306305305305306306307308307307308306307307307307307306306306305306306306304300999999999999999999999999999999999999999999999999999999999999999999999999999999999300300301301300300300299298298299301300299300299298298299299298297293291296301303304303304302302302302301302302302301302301302303303305304305305303303303303302301302301300299299298298297297296296297294999295295297293292294296296296296298297297297299298297297297297297296296296296297296295295295295295294294294294295296296296294295295293293293293293294294294294293293294295293293294294294295295294294294295295295295295295295295296297297297297296299300298300300300300299299299300299299299299299299299300300299300300300300300301300302302302302303302302301301302302302302302302302302302302302302302302303304303303303303303303304305304304304303304304305305306307306306307307307306306306307308307308307307306307307307306306306307307307307307307307306306305305304305305305304304304305305303304304303304304304304305306305305306304306305305305305304304304303303301302302303302302302302302302302302301302304303303303304304303304304304304304304305305305304304304304305305305305306306306305305305306306306305305304303305305304304304305304303303303304303304303303303303303303303303304304304304304304304304303304304304304303303302303303304303303303303303303303303303303304304304304303303303304304304303303304304304304304304304304304303303303303303303303303303303303302302302302302303302302301301301301301300301302301300300300301300299300300299299299300299300300300301301301301301300301300299299299298299299299299298298298298298298297296297296296296296297297297297297297298299299298300299299299299299298299299300300299298298297297296297297297297296297297296296296296295296297296296296296296295296296296295295294295295294294293294294294294294294294294293294293293293294294294293293294294294294294294294294294295295295295297297297296295296296296296296297297297297297297297296296296295295296295294293293292293291291291292291292291291291291291292291291292292292 309309310298999999999999999999999999999999999999999999999999999999999999999999999999999302299295293292292293293292294294294295295295295295295295295296296296295294295294294295295295296297296296296296296295296296296296296296296297298299299300302303302302303303302302301301301301303302301301301301301302302303303305304303303304304304305304304308304304304304308307307306306306301306308308303309307305305306306306305305306308308308308308309307307307308306305305306306306306305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300300300299298298299299299300300299299299299299299298296294298293299303303304303303303302302301302302301303302302301301302302302303303304303303303302302300300299298298298298297298297296296297294292294295297295294296297296297297297297296297298299298297297296296296296296296296296296295293293295294295295294295296296296295295293294294294294295296295295296294295296295294294294294294295295295295295295295295294294294295295296297297297298298298298299299300299299299299299298301300299298298299299299299300299299299300300300300301301302303302302302301301302302302302302302301302302302302302302302303303303303303303303303304304305303303303303304305306307307306306306307307307306306307308307307307307307306306306307307307307306307307307307307305306305305304304305304304304304304303303303304304304304304304305305304304305305305305304305305304304303303303303302302303302302302302302302302302302302303302302303304304303303304304304304304304305305304304304304305305305306306306305305305305304305305304305305304305305304304304304303303303303303303303302302302304303303303303304304304304304303303304303303302303303303303303304303304302303303303303303302303303304304305304304303303303304304304304304304304303303304304304304304304303303303303303303302302302303302302302301303302302302301301301302301301302301300299299300300300300300299299299299299300301300301301301301301300300300300300299299298298299299298298298298298297297297297296296296297297297297297297297296297298299299299299299299299299299298299299299299299298298297297297297297297297297297297297296296296296296297297297295295295295295295295295295295295294294294295294294295295295294294294294293293291295294294294294293293293294294294294294295295295295295295296296296296296296295295296297297297296297297296296296295295294294295294293293292292292293292292292293292291291292292291291292292292292 308310999307999999999999999999999999999999999999999999999999999999999999999999999999999999296295293292292293293294294294295296295296295295295295294294295295295295295295295296295296296297296297296296296295296296296296296297298298299300301301303304305304305305305305305304303303301302302302302302302302302303303303304303303304303304304304308304304303303304308307306306306306306307309305303305304305305306306306306306306307308309308308308308307307307305305306306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298296296298299299300300300300300299297297296294292295298299302304305303304303305303303302302302301303303303303302302301302301302302302302302302301300300298298298298298298298299299296297294291291295296295295297297296296297297296296297297297298297297297296296296295295296296295294294294294294295295295296296296295294295294294295296295297296295296297296295296295295294294294294295295295295295294294294294294294294295296296297296298298298299299299299299299298299299298299299298298298298298299299299299299299300300300300301301301302302302301302302301302301302302302302302302302302302302302302303302302302303302303303303304304303303303304305306307306306306306307307306306306307307306307307307307306307306307307306306306307307306306306306306305306305304305305305304303304303303303304304305304304304304305305304305306306306305304304304303303304304302303303303303302303303302302302301301301303303302303303303303303303304304304304304304304304304304304304305305305305305305304304305305305305305305306306305305305306304304303303303303303303303302303303303303303303303304304304304304304304302302302303303303303303303304303303304303303303303304303303303304304304304304304304304305304304305305305304304304304304304304303303303303303303303303302303302303303303302302302302302302301301300300300301301301300300300299301300301300300300299300300301301301301301301301301301300300300298298298299299299298298298298298297297297297297297297297297297297297297297297297297299299299299299299299299300299299299299299298298297298298298298298298297297297297297297296296296296296297297296297295295295296295295296296295296296295295295295295295295295294294294294293293294294294294294293293292293293295294295296296296296295296295295295296296295296295295296296296296295296296296296296296295295295295294294294293293293293292293294293293292292292292292292293292292292 309308999306999999999999999999999999999999999999999999999999999999999999999999999999999999999294295292292293293294294295294295295297296296296295295294296296296295296296296295296297297298298297297296296296296296296296297298298298301302303303305306307307307307306306304303304304302303302302302305302303303304305304304303305304303303305304305304304304303308309309308307308307307308309303304304305305306306306306306306307308309309309309309308308306306305305304307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297299300300301302299299298296295295294292295300303304305303303304303303303303303303303302303303303303303303302302301302301301302301301300300300299299298299297297298299298296296295294294295297297297296297297296297296298299296296297296296297296296296296295295296296295294294294293294294293294295295294294295294292294295297295296296296297296296295297297296296294294295296295295295295295294293294294295295295296296297296298298298299299299299299299298298298297298298298298298298298297298298298299300300300300300301301302302301301301302302302302302302303302302302302302302302302302302302302302302303302302303304304304304303303305305306306307306306306306306306306307306307307306306307306305307306306306306306306307306306305306306306306306306306305305305304304305304304304304306305305305305305305306306305305305305304305305305305304305304303303303303303303303303303303302303302301303303302302302303303303303303303303303303304304304303304304305305306305305305303304305305305305305305305305305305305306304304304304303303303303303303302303303302303303303304304304304304304303303302303303303303303303303303303303303303304304304304303303303303303304304304305304304305304305305304304304304304304303304304303304303303303303303302302302302302303304303303302301302302302301301300300300301300300300301300300301301301300300300299300300300300301301301301302301301300300299299299299299298298298298298298298297297298298298298298297297297297297297297297298298299299299299299300299300299300299298298299297298299299298298298298298297297297297297297296296296296296297297297297296295296296296295296296296296296296296296296296296295295295294295294292293293293294294294293294293293293295294295295296297297297297296295295295295296296297297296295295296295296296296295296295295295295294294294294294293293294294293293292292292292292292292293292293293293 309309311307999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293292294294294294295294295296297296296297295296295295295295295295296296296296298297298297297297296297296296296296297297298298299302302303304306307308308308307308306305304305304302302302302302302302303303303304304302303302305304304304305303304304303303308308309308307308306309306304304305304305305305306306307306307307309310309309309308308307306305305306306307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298299302302302301300298999300296296294294298300302303303303303303303303302303302303302302303303302303303303302302302302301301300301300300300300299299299297297297298297299298298296296295297297297297299297297298298297297297297296296296296296297297295296295295295295295293293294293293293293295295295296294296296296297298298296297296297297296297297297297295296296295295296296296296295296295294294295296296296295296297296297298298298299299298299299298298298298297298298298298298299298298298299299300300300300300301300300301301301302302302302302303302302302302302302302302302302303303303303303303303303303304304304304304304305305305307307307306306307306306307306306307307307307306307306306307307306306306306307308307307306306306307307306306304304305305303304304304304304306306306305305305305305306305305304304304305305305305305305305304304304304303303303303303304303303302303303302303302302302303303303303303304303303303304304304304305305304305305305305305305305305305305305305305305305305305305305304304304303304304304303304304304303303303303303304304305306305304303303304303303304303304304303304303303303303303304304304304304303304304304304305305305305305305305305304304304304304304304304305303304303303304303303303303302303303303303303303303303302302302302301301301300301301300301301301301301301301301301301300299300300301300301302302301301301301301301299299300299298298298298298298298298298297298297297297297297297297296296297297298298297299299299299300299299300299300299299299298297298299297298298298298298298297297297297297296296296296296296296296297294295295295296296295295296296296296296296295295295295295294294294294295295295295294293293293292292294294295294295295295296296297296296294296295295296295296296295295294294294295295295295295295295295294294293294294294293293293293293293293292292292293291293292292292292292 309307311308999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292293294294295295296296296296296297297296295295295295294295295295296296296296297297297298297298297297297296296296297297297298299302302303305306308309309308308308307306305307303302302301301305302303303303303303303302302302304303303303303304306307303303309308308309307308308308306309305305307305305305305305306309307307308309310309310310308307306305305305306308307308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301302303302301300999302304305301302303302303303302302303302302303303302302301302301302302303301302302302301301300302302300300301301300299300299298296296296296299297297299297297297297296296297297297298296296296296297296297296296296295296297295295295294294294293293293293292292292293292295296295295298297297297298298298296298298296297297296296298297298296296296297297296296297295295296296295295295295296295296296297297297298298299298298298298298298298298298298297298298298297298298298299299299300300300300300300300299300301301302302303303303303303303302302302301302302302303302303303303303303303304303304305304304304305305305306306307306306307306306306306306306307307307307306306306307307306306306306307307306305307307308307306306306305305304305305304304304304304305306306305304305306305306305304304304304305304305305305305305304304304304304304303303303303303303303303303302302303302303303303303303303303303303303303304304304304305305305304305305304305305305304305305305305305305305305305305304304303303304304304304303304304304304304303304303304305305306304305304304304304303303303303303302303303303303302302303304304304304304304304304304304305305305305305304305303304304304304304304304304303303303302303303303303303303303303303304303302303303303301301301301301301301300301301301300300300300301301300300300300299300300299300300301301301301300300300300300300299299298298298298297297297297297297297296297296296296297297297296297298298298298298299299299299299300299298299299299299299298299299298298298298298298297297296296296296297296296296296296297297297295295295295295295295295295296295296296295295295295294294294294294294295295294294296295294295294294294294294294295296295296296296296296295296296296295295295295295295295294294294294294295295295295294294294294293294294294293293293293293293293293293292292292292292292292292 309309309306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294295295296296297296296297296297297297296296297296296295296296296295295296297297297298297297297297297296297296297298298300301302302303304306308308309310306308306305306305303302301301305301301301302303303306304302302303303303303302302305306307307304306308308307308307306304305305309306306305304305306306307308308309308309309309310309308307306305305305307307309309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301302302302302301300302302302302302301303303303304305303303301301301301301300301302301302302302300301302302302300300300300300300301300300299298297298296296297298297296298298298298298297296297298297298297297294296297297296296296296296296296296296294294294293292293293293292292291291293295297298297298298298298299299299299299299298297296296296297297296295297296296296297297297297296296295296295295294295296296296297297297297297298299299298298299299298298297297298297298299298298298298298299299299300300299299300300300299300300301302302303303302302302302302302301302302302302303303303303303303303303304304304305304305305305305305306307306308307307307306306306306307306306304305305305305306306306306305307307307306305306307307306306306305305305304304303304304305304305304305305306305305305304304304304305304304304304305305305305305305305304304304304303303304304303304304303302302303303302302302303303303303303303303303303303303304304304304304305305305305305305305304304305305305305305305305305304304304303304303303303303303303304304304304303303303304304305305304305305304303304304303303304304303303303303303303303304304304304304304304304304304304305305305306306304304304304304304304303304304304304304303303303303303303303303303303303303303302302303301300300300301301301300300300300301300300300301301301300300300300300301300300300300301301300301300300300299300300299299298298298298298298297297297296297296296297296297297297298297297298297297298298298298299298300299299299299298298298298297297297298298297297297298297297296296296296296296296296296296297296296294294295295295294294295295295295295295295295295294294293294294294295293293293294294294294293293293293293293294294295294295295295293294294295295294294293293294294294293292293293294294294294294294294294293293293293293293292292292293292293293292292291292292292292292291291 309308306308311999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294296296297297297296297297297298297296297297298297296296297297297297296296297299299298299298298298297297298298299299300300301302303303305307310311310310310307306307307305304303305303306303302302303304303303302302302302302303303303304307308307307308308308308308307307307307305306305306306306305306306307307308308308310310309309310309308307306999999308309307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999298301302999999300300300300301302302299302302299299300302303302303302303302304303302301301300300299298300300301301301301300300301300300300300300300299300299299300298298297296298296296297295295296296296297297297298297297296297295295295295294294293296295296295295295294295294294293292292293291292291290291291291291292294295296296298296299299298297299298299299297298294297298297296296295296296295295296296295296296296295294295294293294295295295296296297296296297297298298298298298298297297297296297297298296297298297298298298298299299299299300300299300299300301302302302302302303302303303302301302302302302302302303303302302302303303304304303304305304305305305306306306306306306306306306306306306305305305304304305305305305305305306306307306305305306306306306306306305304304304304304304304304305305304303305305305304304304305305303304304304304303304304304304304304304304304304304304304304303303303303302302301302302302302302302302302302302302302302302302303303304304304304304304304304304304304304304304304305305305305305304304303303303303303303303303302302303304304304304303304303303303304304305304303304303304303304303302303302302303303302303303303304304303303303303303303303303304304304304304303303303303303304304304303304303303303303303303303303302302302302302302301301301300300300300299300300300299299300299301300300299300300300300299300300300300300300300300300300299300299299298297298298298297297296297297297297297298297296296296296296296296297297297297297298298298298298298298298298299298299298298298297297298297297298298298297296297297297297296296297296296296297296297296297297296295295295295295296295296295295295296295295295295295294294294294294294294293295295294294294293294293293292294295294294295295295296295294294294294294293293293293294293293292293293293293294294294294294294293294294294293293293293293293293293293293293293293293293292292292292 308309308308309309999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298299297298298299298298298297297297298297297297297297297298298298298299299299298298298298298298298299299299300301301302302303304306309311312312311311309308307307306305304304305303303304303304303303303302303302303303303303303307308309309308309308307306307305307308306306305305306306306307306307307307308310308310310309309309309309308999999999306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298301301300300300301301301301301302300302302302303301303304302304305303301303302302302301299300298299300301301302302301302302301301301300301300299300300300300299299297298297297297297298297296297297296297298299299299299299298297297296296294296294294296297297295295295296295294294292292292292291290290290291290290293294293294296294296297298299298298296298297296297296296297298298296295295295295294295295295296295295295294294293293294294294295295296297296297296298298299298298298298297297297297297297298297298298298298298298298298298299299299299299299300300302302302302303302302302302302301302302302302302302303303303303303303303303304304304304304305305305305306306307306307307306305305305305305305305304304305304305305305305306306306305306306306306306306306305305305304304304304305304304304304304304303303305305304305304304304303304304304304303304305305305304304305304304303303303303303304304303303303302302302302302302302302302302302302302302302302302303303304304304304304304304305305305304304304305304305305305305305304304304304303303304304304304304304303303304305304304304304304305305304304305303305304304303303304303304304303304303303304303304304304304304304304304303304304304304305304304304304304304304304304304304304304303303303303303303303303302302302302302301301301301300300300300300300299299299300301301300301300300301300300300300300301301300301300300300300299300299299299299299298297297297297298298297297297297296297297296297297297297298298298298297298298298298298298298298299299299298298299298297298297297298297298298296297297298298298297297297297296296297297297297297297297296295295296296296296295295296295295295295295295295294294294294294294293294295295294294294293293293294293295295295296295295295295294294293294294294293293293293293293292292293293293293293293294294294294294293294294294293292293294293293293294294295293293293293293292292292 305304304308310310999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298298298297299299299299299298299299298298298299298297298297298300299299299299298298299299299299298299299299301300301302302303304305305308311313311312311310308308306305304304304303303303304303303303303303303302302303303303304303308309308311309311307305306304305307307306306306306306306306307306307308307307307308308310308308307306308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299301299298300300301301300300302301301303300301303302303302303303302301301301301302301299299299301301301302302302302302302302301302301301301299300299298300301299299297296298297297296298298297298299298299299300299300299299298297296296296296295295295296297295295293294295294294293293292292291290289290291293292294296293294295292296297298299298298296297297297297296297297297296298296296295296295295296296296294296296295294294294294294294296297296298297297298298298299299298299298298298297297298298298298298298299298298297298297297299299299299299299299301302303303303303302302302301302302302302302302303303302303304303304303303303304305305305305305306305306306306306307307306306306305306306305305305305305305305305305306306306306306305305306306306306306306306305305304304304304305304304304304304304305304303304303304303303304304304304304305304305305305305305305305305305304304304304303304304304304303303303303303303302303303303303303303303303303303303303304304304305304304304304305305305305305305304304305305304304304304304304304303304303304304304305305304304304304304304304304304305305304304304304305304304304302303303303303304304303303304304304304304304304304304305304304304304304305304305305304304305305303304304304304304303303303303303303303303303302302302301301301301301300300300300298298299299299299300300300300300300300300300300300300300300300300300299300300299299299299299298298298297297297297298297297296296296297297298297298298298298298299299299298298299298298299298299298299299298298298298298298296298297297298297297296297298298298298297297297297296297297296296297296296297295296295295295295295295295295296295295295295294295294294293293293295293294293293294294293292293293294295295295295296296296294294295294294294293293293293292292292292292292292292293293293293293293294294293294294294294294294294294294294294293293294293293293293293293292293 306305306307309310999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297297298298298297297298298298299299299298299299298297298299299299300300300299300299300299300299300300300301301303302302303304304307307309311311312312310308308306306303303303303303303302302302302303303303303303303304304305304304308311312306306306306303304308307306306306306307306306306306307307307308307308308308308307307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299297297297299301300299298301301300302303302302302302302303303303302301302301302300300299299300301301301302302301302301302302301301299300299299298298299300299298297297295297297298298298298299300299298298300298298298299298297296295296296296296297296296296296296295295295294293292292291290290290290290292292296294294293295297298297298297298298298298297296297297297297296296294294295294297294295296296296295295296296296295294294294294295296297298298298298298298298298299298298298297298297298298298298299298298298298297297298298299299298298299298300301302303303303303302302302302302301302302303303303303303303303304304304303304304304305305305305305305305305306306307307307306306305306306306305305305306306306306306306306306305305305305306306306306306305305305305305304304304304305305304303304305304303303304304303302303304304304304304304305305305305304305305305305305304304304304304304304304303303304303303303303303303303303303303303303303303303303303303304304305305304304304304305305305305305305304304304304304304304304304304304304304304304305305305304304304304305304305304304305304304304304304304304304303303303304303303304303303303303304304304304304304305304305305304304304305306305305305306305304304304304305304303304303303303304304303303303303302302302301301301301300300300299300298298298298298299299299299299299299299299300300300300300300300300300299299299299299299299299299299298297297297297297297297297297297297297297298297298298298298297298298299298298298299299298298299299298297297298297297297298297295296297296296296297298298296298297297296296295295297296297297296295295294296295295295295295295295295295295295295295295294294294293292293295295293293293294294293294294294293295295295296295295295295294294294294294293293292293292292292292292292292292292292292293293293293293294294294294294294294294294295293294294294294293293293293293293293293 306305305307307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297297298297298298298299298298297298297298298297297298297298300300300299300300300300300300300300300301301302300300302302302303305306307307309310312313311310311308304304303302304302303302301302302302302302303303303303303303303303304306308305306304305305306305307307306306306305306307306306306308308307308307308308308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297300301301300298301301302303302302301303303303303303302302302302301302301300299300300301301302302302302301301302301300300300299299299298298299298298298297297296297298299298298298298299299299298299299298297297296296295294294295295295296295295295295296295295294293293293292291290289290289291291291293293294296297296296297298298295298297297295296296296297297297297297297295295295295297297296295296296296296295294294293294294294295297298297298298299298298298298298297297297297298297297298299297299299298298297297298298298299299299299299300301302302302303303302302302304302302302302302303302303302303303303304304304303303304305305305305305305305306306306308307306305305305306305305306306306306306305306306306305306305305305305305306306306306306305305305304304304304304304304304304304304304305305304303303302303303303305305305305305305304305305305305305304305305304304304304303303303303304304303303303303303303302303302302303303303303303303303304304305304304304304304304305305305305305304305305305304305305304304304304304305304305305305305305306305305305305305304304304304304304304304304304303303303303304303303304303304304304304304304304305304305305305304305305305305305305304305304304304305305304304304303303303303303303303304303303303302302302302302301301301300300300299299299299298298298299299299299299299300299300300300300300300300300299299299299299300299299299299298298298297297296296297297297297297297298298298298297298298298298297297297297298298298298298298299299299298298298298298298298297298297296296296297297297297298298298298298297296297296297297297297296296296296295296295295295295295295295295295295294295294294294293293293295295294294293293292292293294292294294294293294294296296296295295295294294293294293293293293292292292292293293293292292292292292292293294294294294294295295295294294294294294294294294294294293293293294294294 307306306306307309999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298298297298298298298298297297297298298297297297297298298299300299300300300300301300301300301300301301301302302302302303303304305306306308309310312312310308307305304304303304302303302302301301302302302302302303303303303304305306306307307305305306306306307306304306304305306306306306306306308309307307307307307308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303299298301300300298301301302302302302302303302302303303302302302300301301300301301301300301301302302302303302301301300300299299298298298298298298298298297297298298298298299299299298298299299299299299298297296296295295294295295295294295297295999295294295295295294293293292292291291289289290291291291291296295296296296297296294297298297298298297298297297297297296298297297296296296297297297296296296296296296296295295294294294294296296297297297297298298298298298298297297297297296297297298298298298299299298297298297298297297298299299300301301302302302302302302302302302303302302302302302303302302303303303304304304304303305305304305305305305305305306306306306305305305306306305306306304306307306305306306306306306306306305305306306306306306305305305305305305305305305304304304304304304304305304304303303303303304304304305305306306305304304305305305305305305305304304304304305304304304304304304303303303303303303303303303303303303303304303303304304305305304304304304304305305306305305305305305305305304305305304305305305305305304305306306306306305305306305305305304304305304303303304304304304304303304304303304304303304304305305304304304305305304304304305305305305305305305305305305304304304304304304303304304303303303304304303303303303302302302302301301301301301300300299299299299299298298299299299299299299299299299299299299300300300299300300300299299299299299299298298297297297297297297297297297298298297298298298298298298298298298298297298298298298298298298298298299298299299298298298298298298297297296297296296297296297297298298298297296296296296297297297295296297296296296295294295295295294295294294295295296295294293293293293294293293293294294293293293292292292293294294295294294295295294294294294294293293293293293292292292292292292292292292292292292292292292292293293293293293294294294294294294294294294294293294293293293294293293293 307307308307307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297298299299298298298297297297297297297296297298298299299300300301301301301301302301301301301302301303303302302303304305306307308309310311312310311307306305304304303303302302302302301301302301302302304304304305305304303307307307304305307306306306307307307305305305306306306306307305307307307307306307308309308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999302302298297301300301301301301301302301302301302302301301303303303302301301301301301301301300300300301301302302302300300299299297298298297298298299298299298297297298298296298299298298299298298299299298299297297295295295294294294294295296296296294999297293294294293292293293292291288291289289290290290291293294294294294296297297297297297297298297297297297297296296298297296297297295296296296296296296296296296296296295295295294293293294295295296297296297297297298298298297297297296296296297297297299298299299298298298297297298298298299299299300300301301302301302302303302303303303303303302302303303303303303303303303304304304305305304305304304305306305305306305305305305306305305305305305306306307306305306306306306306306306306305306306306306306305304305305305305305305304304304304304303304304304304303303303303303304303304305305305305304304304304304304305305305305304304304305305304304304304304304304304303303303303303303303303303303303303303303304304305304304304304304305305305305305305305305305305305304304305305305305305305305305305305305306305305305305305305304304304304304304304304304304304304304303303304304305304304304304304305304305305305305304304305305305304305305305305305305304304304305304304304303304303303303303303302303303303302302302302302301301301300300299299299299299299298298299298299298298298299299299299299299299299300300300299300299299299299299298298298297297297297297297298297298298298298298298298298298298298298297298298298298298298298298298298298298298298298298297297297298297297296297296297297296297297297298297297298297296297297297297297295296297296296295295295295296295294295295295294295295294293293293293293293293292293293294293293292293292293293293294294295295294294294293294294294294294293294293293292292292292292292292292292292293293293292292293293293293293294294294294294294294294294294293293293293293293293293293 306308308308306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300298298298298299298298298298298298298298298298298299300300300300301301301302302302302302302303302303302302303304304304305306306307307308309311311310307307306305305304303303302301301300300302302301302304304305306306306304306307306305307307308308308308307308305305306306306306306305306306306307307307307306307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301999999299300299299298298297299301302301301302301301302301301302301302302303303304303301302302302301300300301301300300301301302301301299300299299297298298297298298299298299298297298298299297297298298298298298298298298297298297296294295294294294294295295298297298295293999294294293292293292292291290288288288289289290290291292294293294293296297297297297297297298297297297297297297297296296296297296296296296296297296296297297296296296295296294294294293294294295295295296297297297298298298297297297297297296296297298298298298299298298298297297297298298299299300300300301302301302302303302303303303302303303302303303303303303304303304304304304304304305304304304304305306306305306305305306305305306306305305305306307306306306306306306307306305307307307307307306306306305305305305305305305305304304303304304303303304303304303304304304304304304304304305305305305305304304304303304305305304304304304305305305304304304304304304304304303303303303303303303303303304303304304305305305305305304304304304305304305305305305305305305305305305305305305305305305305306306305306306306306306306305305305305305304304304304304303304305305304304304304304304304303304304304304304305304304304304304304304305305305305305305304304304305305304304304303304304304304304304302303303303302302302301301301301301300300300300299299299299299298298300299298298298298299299299299298298299299299299299299299299299298298299299298298298298297297297298298298298298298298298297298298298298297297297297298298298298298298297298298298298298298297298297297297297297296296296296296296296297297297297295296296297297297296297297297296297296296296295295295294294295295295295294293294293293293293293293293293293293293293293293292292293292292293294294295295295295295294293293294294294293293293293293292292292292292292292292292292292293293292292293293293294293294294295294294294295294294294294293293293293293293293293 307306308307307308310999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299297296297298299299300299299299298298298299299299300300300300300301301302302302302302302303303303303303303305305305305305306306307308307309311309309306306305304304303302301302301301301301302302303304305305306306305305305305304305306307309308307306306307306306306306306307306305305306306307307307307306308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999299300298299299299299299299300300301302302302302301303302302301300302303302304302302302302302302301300300300300300300300300301300301300300300300298298297298298297299298299298299300300297297297298298298298298297298297297297296296296295295294295295294295295295295295295294295294293293293293291292291289287288288289289290292293294294295295297297297297296296297297297293297296297297297295297296297295296296295296296295296296297297296296295295295294294294294294294295295296297297297297297298298297297297297296297298298299299299299298298297298298298299299300300301301301301301301302303303302302303302302302303303303303303304304304304304303302303303303304304304304304303305305306306306305305304305305306305305306306306307306306306306305307306306306307306306306306306306306306306306306306305305305304304304303304304303304304304304305305304304305303305305305305304304304304304304304303304304304305305305306306305305304304304304304304304304303303303304303304303304304304305305305305305305305305305304304304305305305305305305305305305305305305305306306306306306307306306306306306306306306306305305304305305304304304304304305305305304304305305304305304304304305304305305305304304304304304305305306306305305305304304304305305305304304304304304304304304305303303302302302301302302301301301301301300300300300300299299298299298299299298298298299299299299299298298298299299299299298299299299298299298299299298298298298298298298298298298298298298298298298298298298298297297297298298298298298298298298299298298298298298298297297296296297298297296296296296296296297298297296297297297297296296295296296296296296296296295295295294295295295295294294293293293293293293293293293293292293293293293293292292293292292293293294294295295294294293293293294294293293293293293293292293292292291291292291292292293293292292292293293293293294294294295294294294294293294293294293293293292292292292292 307306307308307307310312999999999999999999999999999999999999999999999999999999999999999999999999999999302302299298298298298299300300300299299298298299299299299300300300301300301302302303303303303303303303303304305304304305306306306307307307307999999308306309305306305304304303302301301301301301302302303304304305305306306305304304305305307306307307307306306306307306306307306307306306305306305306307307308308308308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305999302303298298298298299299299298298299300300301302302302302302302302301302302302302302301301300301301301301300300300299299299300300300300300300300300300298297299299299297298300298300299300300298297297297297296297297297297297296296296295295295294295295295295295294295293293999294294292292293294293292293291289289288287290289291292294294294296296297297297297296296296296296297296296296296297297296297297297296297296296295295296296296296296297296296296295295294294294294295295296296296297297297297298298298297297297298298298298299299298297298297298298298299299300301301301301301301302302303303303303303303303303303302304304304304304305304303303303303303304304304304304304304305304305305304304304304304304306305305306306306306306306306305305306306306306306306306306306306306306306307306306306306306305304304304304304304304304304305305305305305304304305305305304304304304304304304304304304304303304305304305306305306306305304305304304304304304304304304304304304304304304304305305305305305305305305305305304304304305305305305305305305305305305305305306307306306306306306307307307307306307306306305305304305305305304304304304305305305304305305304304305304304304304304305304304304304304303304305305305305305305305305305305305305305304305304304304304304304303302302301302301302302302301301301301301300300300300299299298298299299298298298298298298299299299298298298298298298299298299299299299298298298298298298298298298298298298298298298298298298298298298298298297297297297298298298298298299297298298298297297297297297298297297296296297296295295295295297295296295295295296296297296296295296296295296296295295296295295295295294294295295294294294293293293293292292292293293293293293293293293293292292292292292292292293294294294293292293293293293293293293292293292293292292292292291292292292292292292292292292292293293293293293294294294294293294294294293293293292292292292292292292291 307307307308308307310999999999999999999999999999999999999999999999999999999999999999999999999999999999302300299298298298299300300299300299299299299300300300300301300301300301301302303303303304304303303303303304304305306306306306306307307308999999999999307307307306306305304303301301301301301301301302303303304305306305303303303304306306307307307306308306306306306306307307307308306307306305306306307308309308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302299298297299300299299298299301300301302302302301302302302301301301302302301301300300300300300300301300300300299299299300300300300300299300300299298298299298298299297298299299298299299299299298299298298297298298297297295296295295294294294295294294294295295295293291292294293293292293294293295293291290290288288290289293291294296296296296296297297296296296296296296297296297298298297296296297297296295295296295295295296296296296295295296295296296295296294295294295295294295295296296297297298298298298297297298298298297298298298297298297297298299299300300301301301301301301302303303304303303303303303303303303303304303304305305304303303303303303303303303304304303304304303304305304304304304304305306305305305305305306305306304305305305305305305306306306306307307307307307306306306306306305305304305305305304305305306305305305306305304305304305304304304304304304304304304304304304304304304304304304305305305305304305305305305304304304304304304304305305304304304304304305305305306305305305305305304305304304305305305305305306306306306306306306307307307306306306307307307307306306306306305304304304305305303304304305305305305304305305305305305304304304304304304304304304304305305306305305305305305305305305305304304304304305305305304304304304303303302302302302302302302301301301301301301300300300300299299299299299299299299299298298298298298299299299299299299299299298298299299299299299299298298299299298298298298298297298298298298298298298298298298298297297298298298298298298298299298298297297297297298297297297298297296297296296296295295295295295295295296295296296296296296296296296295295296295295296295295294294294294294294294293293293293292291292291293294294294293293293293292293291292292292292293293294294293293292293292292292292292292292292291292292292292292292292292292292292292292292292292293293293293293293294294293293293293293293293292292292292292292291291291 307307307308307308309314999999999999999999999999999999999999999999999999999999999999999999999999999999302300299298297297299299300299300300301300300300300300300301300300301301302302303303304303304304304304304304305306306307307306307307307307311999999999306305305306306305304302302302302302302301302302303303304304304304304305304304306306307307308307306306307307306306307307307307308307307307308308309309311310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300299298299300300300299299301300301302301301301301301301301301301302302301302301301300300300300301301300300300299298298299299299300300300300299299299298299300299299299299298298298298298299296297298298299297297298297296296294294295293294294294294294294295295295295293293292294293294294293293293292291290289287288290292292293294295296296297297297297296296296296296296297297296297297296297296296297297296295295296295295295295296295296295296296295296295295295294295295295294294295295296297296297297297298298298298298298298298298298297297297298298299299301301301301301301302302301303304303303303303303303303303304304304304304305304304304304303303303303303303303304304304304304303304304304303303303305304306305305305305305305305305304305305305305305306306306306307307307307307306306306306305305305305305305306307305306306305306306306306304305304305304304304304305304304304304304304304304304304304304305305305305305305305305305305305304304304304304305305305305305305305305305306305305306305305305305305305305304304305305305306306306306306307306307307307307307307307307307307307307307306305304305304304305305304304304304305305304305304305305305305305304304304304304304304304304305306306306306306305305305305305305304304304304304305304304304304303303303303303303302302301301301301301300300301300300300299299299299299298298298298298298298298298298299299299299299299298298299298298299299299299299299298299299298298299298297297297298298298298298298298298298298298298298298298298298299299298299298297299297298298298297297298297295296295295295294294294294294295295295295296295296296296296296295294295295295295296294295294294294293293293293292292292292292291291291291293293293293292293292292292291291291291292292293293293293292292292293291292292292291291291292292292292291291291291292292292291291292292292293293293293293293293293293292293293293293293292292291291291291290290290291 307307308307307308309311313999999999999999999999999999999999999999999999999999999999999999999999999302301300299298296298298298299300300300300300300300300300300301301301301302301302302304304304304305305304305305305306306306306306308307307307308307999307306306306305306304303303302301301302302302302302302303304305304304304304306307308308308308307307306306307307306306307306307307307306307307307308308307310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301299298299299298300300301301301301301301301301301301301301302301301302302301300300300300301300301300300300300299299300300300300301301300299298298298300299299298298297297297298299300298298299299300299300299297297295294294292294292293294293293295293295295295295294295294294295294293292292291291291289289289289291292293293295295294296296296296297296297296296296296295296297296296296297297296297296297296295295295295295295295296296296296296295295295295295295295294293293294294295295296297297297297298298298298298298298298298298298298299299299300300301301301301302301302302303304304304303303303303303303303304304304304304304304304304304303303302303303303303303304304304303303304304304303303304304305305304304305304305305304305304305304304305305306306306307307307307307306306306306306305306306306305305305306306306306306306306306305305305305305305304305305305305304304304304304304304303303304304304304305304305305305305305305305305304304304305305305306306305305305305305305305305305305305305305305305305304305305305306306306306306306307307307307307307307307307307307307307306306306306306305305305305305305305305304304305305305304304305304305304304304304304304304304305305306306306306305305305306306305305305304305304303303304304303304304303303303302303303302301301300300300301300300300300300300299299299299298298298298298298298298298298298298298298299298298298298298298298298298298299298298298298298299298298298298298299298299298298298297297298298297298298298298298298298297297298298299299298298298298298297297296296295295294294294294294294293293294295295295295295295295296296296295295295295295295295295294293294293293293292292292292292292291291291291291292292293292292292292292291291291291291291292292292292292292292292292291292292291291291292292292291291291291291291291291291291291292292292292292293293293293293293293293293292292292292291291291291291291291290291291 306307306306306307308309310312999999999999999999999999999999999999999999999999999999999999999999999999302300299298298298298299299299300300300300300300300300300301301301302302301302303303304304304305304305305306305305305306306306307307307306306305306306306306307306305304308303302302302302302302302302303302304305305305306305307308308308307306305306306306306306306306307307308308307307308308308308308308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301299299297298299298300300300300301301301301302301301302301301302301302302300302300300300300300300300299300300300300300300301300300300300299299299298298297298297298299299299299299300299299299300300300299298297298297296296295293999292293295294294294294294293294294293294293293295294292291291291290289290289289291292293294295294293294296296296296297296295296297296296295296297296296297296298297297296297296296296295295295295295296296296296296295295295295295294294294293294294294294295296297297297298297298298298297298297297298298298298299299300301301301300301301302302302303304303304304304303304304303303304304303303304304304304304304304303303303303303303303303303303304303303303303303303303303304305305304305304304304304304304304305305305305305306305307307307307307307306306306306306306306305305305305305305306306306306306306305305304305304306306305305305305305304304303304304304304304303304304304304304303304305305305305305306304305305305305306305306305305305305305306306306305305305305305305305304305305305305305305306306306306306306307306307307307307307307307307307306306307307306305305305305304305305304304304304305305304305305304304304304304304304304304304305305304305305306305305305306306305305305305304304304303303303303302302302302302302302302302301300301301300300300300300300300300299300299299299299298298298298298298298298298299299299299298298299299299298298298298298297298297298298297297297298298298298298298298298298298298298298298298297298298298298298298299298298298298298299299298297298298297297296295294294294293293293293293293293294294295295295295296296296296296295295295296295295295295294294293293292292292292292292291291291290290291291291292292292292293292292292292292291291290292292291291291292292291291291291291291291291291291291291291291291291291291291291291292291292292291292292292292293292293293292293293292292291291291291291291291290290291291 307306306306306307308308308309312999999999999999999999999999999999999999999999999999999999999999999999302301299298298298298299300300300300300300300300301301301301301302302302302303303303304304304305305306306305305305306306306306307307306306306306306306306307308310306305304304303303303302303303303304304304305306306306306307307307307306305305305306306306307307307307307307308307307307308308308308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297299299296297297297298298298300300299301301301301301302301301302301302301302302302301301299299300299300300300299300301300300300300300300300299299299298299297299297298298298298298298300300300299298300301299298298298298297298296297295294293999292293293293294293294294295293294294295293292291291291290291290290289289289289290288291294294295294295296297297297296297297296296297296297297297297297296297297296296296295296295295296295295295295296296295296296296296296295295295294294295294293294294295296296297296295296296296297297297298299298298298299300300301301301301301301302302302302303304304305305305304304304304305304304304303304304304304305304303304303303303303303303304304303303303303303302303303304304304304304304304304305304304304305305305305305305305306307306307307307306306306306305306305305305305305305306305306306306306306306306306305306305305305305305305304304304304304304304304303303302304304305305304304304304304305305306305305305305305305305305305305305305305305305305305305305305305305305305305305305306306306306306306306306305306308307307307307307307307307307306306306307306306306305305305305305304304304304304304305305305304304304304304304303303304303304304305305305305304305305305305305305304305305305305304303303303303303302302301301302301303302303301301301301300300300300300300300299299299299299299298298297298298299298298299299298299299299299299298299299299298298298298298297297297297297298297298298298298298298298298298298297297298297297298298298298298298297297297297298297298297298297298297296297295294294294294293293292293292293292294294294294294296296295295296295296295295295295295295295293293293293292292292292292291291291291290290290290290292292292292292292292292292291291292291292292291292291291291291291291291291291291291291291291291290291291291290291291290291291291291291291292292292292292292292292292292292292292291291291291291291290290290290291 306307307307307307307308308308310999999999999999999999999999999999999999999999999999999999999999999999301301300299298298298298299300300300300300300300301301300301301302302302302302303303304303306304305305305305305305305305306306306307306306306306306307307307309310309308308304304303303303303303304304305305306306307307307307307307308305305306306306306307307307307307306307307308307307307307306308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298300298296296297297298298298299299300301302302299301302302301301301301301302301301301301301300300299299299299300299300300301300300300300300299298298298298298298298299299299299299299300300300300300301302300299298298299298297297297296295293999295292293294294294295294293294293293293292292292292293292292290290291290289289290291293294294295296295295296295296297297296296297297296296297297297296295296295295296295295295295296296295296295295296295296296296296296296296295294294294295294294295295295295295295295296296296296296296297297298298298299300300301301301301302302302303302302303303304305305305305305304304305305305305304304304304304304305304303303303303303302303303303304304303303303303303303303304304304305305304304305305305305305305305305305305305305306307306307308307307306306306305306305304305305306305306306306306306306306306306306305306305305305304305304304304304303305305304302304303303303304305305304304304304304305304305305305305305305305305305305305305306306305305305305305305305305305305305305305306306306306306306307306306306306307307306307307307307307307307307306307306306306306305305305305305305305305304304304304305305304304304303304304303304304304305304305304305305305306305305305304304304305305305305304303303302302303303302303302302302302302301302301300301300300300300300300300300299300299299298298298298298298298298298298299299299299299299299299299299299299298298298297297298298298298297298298298297297297298298297297297297297297298297297297297297298298297297298298297297297297298297296297296295294294294295294293292292292293293293294294295294295296295295296295295295295295295295294294294293293293292292291291292292291291292291290290290289289292292293292292292292292292291291291291292290292291291290291290291290290290290290290291290290290290291290290290290290290290290290291291291291291291291291291291291291291291291291291291291291291290290290290290291 307309308309308308307308307307308307999999999999999999999999999999999999999999999999999999999999999999301302301300298298298298299300300300300300300300301300300301301301302302301303303302303304305305304305305304305306306306305305306307306307306307307307307308309310309309305304305304304304303302303304305306306307307307308307307306306307306306306306307307307307307308307307307307308307307307306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299299297296298298298298299300301302302301301301302302301300300300301301302300300300300300300299299300300299299300299299300300300300299298298298298299299298299299299299299299299300300300300300301300299297298298298297297297297296296294291292293293293293293292293293293292292292292291292292290292291290290291291290290289291294293296296296295295296296295296296296297297296296296297295297297297296294294294295296295295296296295296296295295295296296295296296296297296295295295295295295295295295295295295296296297297297297297297297298298299299301302302302302301302302303302303303302304304306305305305305305305305305305305304304304304304304304304304304303303303303303303303303304303303303303303303304304304303303304305304304305305305305305305305306306305306306307307307307307307306306306305305304305305305306305306307306306306306306306306306305305305305305305305303304304304303304304304303304304303303303304305304304304304304304305305305305305305305306306306305305305305305305305305305305305305305305305305306306306306306306306306306306306306307307306307307307307307307307307307307307306306306306305305305305305305304304304304304304304304304304304304304304303303304303304304305305305306305305305305304304305305304305305305304304302303302302304303303302303301302301302302301300300300300300300300300300300299299299298298298297298298298298298298298299299299298299298299299299299299298298298298298297298298298298298298298297297297297297297297297297297297297297297297297297297298297297296297297297297297297297297297295295295294294293294293293293292293293293293294294295295294295296296296296296296295295295294294294293292292292292291292291291292292291291291291290290290289292293293292292292292292292292291292292291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290291290291291291291291291291291291291291291291291291291291291290291290291291 306307307307307307308308307307309307305999999999999999999999999999999999999999999999999999999999999999302302301299299298298298299299299300300300299300299300300300301301302301302302303302303304303304303304305305305305305304306305305306306306306307307308308308309309309309308305304304304304304303304305305306306306307307308308306306306306306306307306307307307308308309307307307306308308308308308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304300297298298298297297298299299300300301301302301302302302302301300301301302301302300299300300300299299300300300299299299299299300300300299299299299299299299299299299298299300300300300300301300301301300300299297299298298297298298298296295294293293293293293293293293293293292292292292292291292292292293291289291291291290289291293294293296296296296296296296296296295294296297295297295296295297297298296295295295295295296296296296296296296295295295296295295296296297296296296295296295296295295295296296296296296297297297296297297297298298298300301301301302302302303303303303303303304304304305306306305305305305305305305305305304304304304305305304304304304303303304304303303304303304304303303303303304304304304303303304304304304304304305304305305305306306306306306306307308307307306306305305305305305305305305305305306306306306306306306305306306306306306305305305305305304304304304303303302303303304303303304304304304305304304304304305305305305305305305306306306306306306305305305305305305305305306306306306305306306306306306306307306306307306307307307307307307307307307307307306306306306306306306306305305305305305305305304305304304304304304304304304304304303303304303303304305306305305305305305304305305305305304304304304304304303303302303304303302302303303302302303302301301300300301300301300301299300300299299299300299298298298298298298298298298299299298299299299298299299299299299298298298298298298298298298297298297297297297297297297297297297296297296296297297297297297297297297297298297298297297297297297296295295294295294294294293293293293293293293294294294295295295295296295296296296296296295295295294294293292292292291291291291292292292291291291290290290291291292292292293292292293292292292292292292291291291291290290290290290290290290290290289290289290290290290289290290290290290290289290290290290290290290291291290291291291291291291291291290290290290290290290290291291 307307307307307307308308307308310308306999999999999999999999999999999999999999999999999999999999999999303302302300299298298298299299299300300300301300300300299300300300301301301301302303999303302303303303304304304304304304304305306306306306306307308308308308309309309307308304304304304304303304303304305305306306307307308305307307307306307308309307307307307308309309308308307308309310311309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304300299299298297296297298299300300300301302302302302302302301301301300301301301301301300300299299299299299299299300299299299299299300299299299299298298298298298299299299299299300300299298300300301300300299299298300299297297297298296295295293292293293293292293292292292292291292291291291291292291291291291288290291290289290291291292292295295295295295295296296295296295295297298297295295296297298296295295295296295296296296296296296295294296296295295295296297297297297296296295296297297297296296296296296297297296296296297297298297298299299299300301302302302302303303303303303303304305305305305305305305305305306306306306305304304304304304304304304304304303303304303303303303303303304304304304304303303304304304303303304304303304304305305305304304305305305305306306307307306306307306305305305305305305305305305305306306306306306306306306305305305305305306305305305305304304303303303304304304303303303303304304304304305304304304304304304305305305305305306306305306305305305305305305305305305305306306306306306306306306306306306307307307306307307307307306307307307307306307306306306306306306306306306306306305305305304304304304305305304305305304304304304304303303304304305304305305305305305305305305305305304304304304304303303303302302301301301301302301302302301301301300301300300300300300300300300300300299299299299299298299298298298298298298298298298298298298299298299299299299299299299298298298298298298297297297297296297297297297297296296296296296296296296296296298297296297296296296297297297297297296296295295294294294294293294294293293292293293293293294294294295295295295295295296296296296295295295295294293293292292291291291290290291291291291291291290289291291291292293293293292293292292292292292293292292291291291290290290290290289289289289289289289289289289289289289290290289289289289289289289289289289290290290290290290291291291291291290290291290290290290290290290290291 307308307307308308309309309309309309309999999999999999999999999999999999999999999999999999999999999999304302301300299298297297298299299300300299300301300299299300301300301301301301302302302303302302303303303305304304304305305305305306305306306308308309308309310309309308308304305304304304304303304304305306306307308308307305305307307307308309309307308307307307308308307308309309307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299297296295297298299300301301301303303302302302302302302302301301301300301301300300300300300299299299299300300300299299300299299299299299299298299299298300299299299299300300300300299300300300300298301300299298296296296296295293294293292292292292292293291291290291292292292291290290290291293292290288289289290289289290290291293295295295296296296295295294296295295296296296295296297296295296295295295294295295295295296295296296295296295295295295296297297297296296295297297296297297296296297297297297297297297298298298297298298298300300301301301301302302303304303303303303304304304304305305305305305305306306306306305304304304304304304304303304304303303303303303303303303303303303304303303304304303304304304304304304304304304304305304304304304305305305305306306306306305306306305304305305305305305305305305306306306306306306306306306305305305305306304304304305305305304303303304304302303303304303304305304304305304304304304304304304305304305305305305305305305305305305305305305306305305305306306306306306306306307307306307307306307307307307307307307307306306306307306307306306306306306306306306306306305305304304305304305304304304304304305304304304303304304305304304305304304304305305304304305304304304303304303302303302302301300301301302301302300301300300301300300300300301300300300300300300300300299299299298299299298298298298298298298298298298298299299298299299299299299299298298298298298298297297297297297297297297296296296296296295295296296296296295296297296296296296296298297297296297296295295294294294293293293293292293293292292293293293293294294294295295295296295295296296296296295295295295294293293292292291290290290290291291291291291291291290290291291292292293293293293294293293292292292292291291291290290289290290290289289289289289289289289289289289289289289289289289289289289289289289289289289290289290290290290290291291291290290290290290290290290290290291291 308307307307307307309310310310310311306999999999999999999999999999999999999999999999999999999999999999303302301300299298298298298299299299300299300300299299299299300301301999299301302303303303303302304303304304304304304305305305306307306306307308310310309309309309311309308305305305304304304304304305307307305308308308307307305308309307306306307308308308310310304310310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298295295296298299301300302302303303302302302302302302302302301302300300301300300299300300300299299299299300300300299300299299299299299299299300300299300299299299300301301299299300300300301301300300300297296295297296295294295294293292292292292292292291291290292291291291290291290290292292290289288289289290289289291291292293295295295295296296295295295296295296296297297296295296296296296297295296296294296296296295295296297296296295295295295296297296297297296295296297296296297297297297297297298298298298297298298298298299299300300301301300300301302302303303303303303304304305305305305305305306306305305305305305305304304304304304303303303303303303303303303302302303303303302302303303304304303304303304304303303303303304304304304304304304305305306306306306305305306306305305303305305305306305306306306306306305306306306306305306306305306305305305305305305305305304304304304303303304304304304304304304304304304304304304305304304305304305305305305305305305305305305305305305305305305305306306306306306306306307307307307307307306307307307307307307307306306307306306307306306306306306306306306306305305306305305305305305304304304303303304304304304304304303303304305305304305304304303304304303304304303303303303302302302302302301301301302301300299301301300300300300300300300300300300300300300300299299298298299299298298298298298298298298298298298298298298299299299299299299299298298298298298298298297298297297296296296296296296296296296296295296296295296296296296296296296296296297296296296295294294294293294293293293293293293293292292293293293293293294295295295296296296296296296296295295296295294294294293292292291290290290290291290291291291291291291291291291291292292293292292294294293293293293292291291291290290290290289289290289289289289289289289289289289289289289289289289288288288288288289289289289289289290290290290290290291291290290290289289289290290290290291291 309307307307307307308310310311311310310999999999999999999999999999999999999999999999999999999999999999303302301301299298297298298299299299300300299299299299299299299300301300300301302303304304303304304303303305305305305305306306307306307308307309310309309309310309310308307305305304304304304305305306307307307307308308306306308308307306306306304306306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297295295296298300300300301302303303303302303302303301301302302301300300300301300300300299300299299299299299299299300299300299299299299299299300299299299298298300300300300299299299300300301300300299300297297296297296296293295295292291293293292292291290290290290290290290289289290291290291290288288288288289290289290291292294295295296296296295295295295296295295296297297296296296296296297296296296296296298297295297297296297297296295296296296298297297298297297297298297296296297297297297298298298299298298298298298299299299300300301300300300301301302302301302303303304304304305305304305305305306305306305305305304304304304304303304303303303303303303303303303303302303302302302303303303303303303303303303303303303304304304304304304304304305305305305306306305305306306306306305304305305306306305305305306306305305306306306306306306305305305306306306306305305305305305304303304304304303303303304303304304304304304304304304305305305305304304305305305305305305305305305305305305305305306306306306306306306306307307307306307307306307307306306306306307307307307306306306306306306306306307307306306306306306306306305305305305304305304304304304304304304304304304304304304304304304304304304304304304304304303303303303302301302302301300301302302302300300301300300301301300301301299300300300300300300300299299298299298298298298298298298298298298298298297298298298299298299298299299299298298298298298298297297297297296295295295296296296295295295295295295296295296296295295295296296297295295295295295295294294293293293293294293293292293292293293293293293293294294295295295296296296296296296296296296295295294294294293292291291290289289289290290290290290290291291291291292291291292292292292292293293293293292292292291291291291290290289289289289289290290289289289290291289289289289288288288288288288288288288289289289289289289289290289290290291290290290290290290290290290290291291292 310310305307307308309310310310311310311311999999999999999999999999999999999999999999999999999999999999999302301301299299298999298298298299299299298298299299299299299300301301302302303303303303304304304304305305305305306306306306306307307307306308308309310308309310309306306306305305304305305305306307307306307305306307307307308309309307307304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298296295296297299300300301303301303303303302302301300300301301302301301301302301301300300299299299299299299299299300299299299299299300299299299299299299299300300300299300300300300300300301299300300300298297297296297295293295296295291292293292292291291290290290289290289289289289289289290288288289289289289289289290291292294295296296297295296296296296296296297296297297296296296296297297297296297297297298297298297297298298298297295296296297297298297298298297298298295297297297297297298298299298299299299299300300300300300300300300301300301300302302302302302304304304305305305305305305305305306306305305305305304304304304304303303303303303303304303303303303303302304303303303303303303303303303303303303304303304304304304304304304305304304305305306305305306306305306307304304305305304304305305305305306306305305305306306305305305304305306306306305306306305305305304304304304304304304304304304304304304304304304304305305305305305305305304305305305305305305304304305305305305305306306306306306306306306307307307307307307307306307306306306306306307307307307307307307306307307306306306306307306306306305306306306306305305305305305304304304304303304304304304304304304304304304304304305304304305305304303302302302301301301301300300301300300299300300299300300301300301301301300300301301300301300300299299299299298298299298298298298298298297297297297298298299299299299299299299299299299298298298298298298297296296296295295295295295295295294294294294294295294294294295294295295295295295294295294294294293293293294294293293294293293293293293293293293294295295295295296296296296296296295296295295295295294294294293293292291290289289290290290290290290290291291291291291291291291292292292292292292292293292292292292291291291291291290290290289290289290290290289290290290290289289288288288289288288289288288288288288289289289289290290290290290290290290290290289289289290290290291291 999999305306306307309310311311311311311311311312999999999999999999999999999999999999999999999999999999999999999302302299298298298298298299300299299300299298298299300300301302302303303304304303304305305305306306305306306306307306306307307307308307308307310308309307306308307305305305306307306306306307307307307306306306307307307309306308307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295295296297298300299303303303301301301302301301301301301301302301302301302302301301301300299300300299299299299299300300300300300300300300300299299299299300300300300300300300300300300300300299298297298298297297297295294296296294293294293293292291291291289288288287288288287287287288290289287288287288287289289290291290291295296296295296295296296297296297297296297297296296296296297297297297297297297298298298298298298298298298297297297297296298296299299296296297296296297297297298298299299299299299300300300300300300300300300300301301301300301301303302303304304305305306306306305305306306306306305305306305305305304304303303303304304304303304304304304303303303303304304304304303303303303303303304304304303303303303304304304304304305305305306306306305305306306306305304305305306306305304305305305305305306305306306305305305305306306306305304304305305305305304304304304304305304305304305304304304304304304305305305305305305304305305305305305306306306305305305305305305305306306306306307306306306306307307307307307307307307307307306306306306306307307307307307307307307307307307307306307307307306305306306305305306305305305305305304304304304304304304304304304304304303304304304305305304304304304303303303302302302301301301300300301300299300300300301300300300301301301301301301300300300300300299299299299298298298297298297298298297297297297297298298298299299299299299299299298298298298298297297297296296296296295295294294294295294294294294294294293294294294295295294295294294294294294294294293293294293293293293293294293293293293293294293293294295295295295295296296296296296296296295295295295294294295294293293291290289290290290289290290290290290290290290291291292291292292292292292292292292292291291292291291291290290290290290290290289290290290289289289289289289289288288288288288289288289288288288288289289289289289290289289289289290290290290290290290290290290290291 999999999306307308308310312311311311311311314311311311999999999999999999999999999999999999999999999999999999999999302301299299298298298298299299299299299299299299300301301302302302303304304305305304306305306305305306306306307306306307308307308307307307308310307307306306306307306306307308307307306305306307307307306305306308308309308307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295296297299300303302302302301301302301301300301300301302302302301301302302301302301301301300300300300300299300301301301300300301300301300300300301301300300300301301300301301300300299301301298298298298298296296297297296296295293293293293291291290289288287287287289287288288286288290287287287287286286288289290289289999295296297296296295297297297296297297296297296296296296297297297297297297297298298297297297298298298298297297297297298298298298299298296296296297297298298298298298299299300300300300299300300300301300301300300301301300301301301302302302305305305305306306307306305306306306306306305305305305305305305304304304304305304304304304304303303303303304304304303304304304303303303303303303303303304304304304304304304304305306306306306306306306306306305305304304304304305305305305305305306306306306306306306306305305305305305305305304305305305304305304304304304305304304304304305305305304304305305305305305305305305305305305305306306306306305306306306306306306306306306306307307307307307307308308308307307307307307307307306307307306307307307307307307307307307307307307307307307307306306306306305306306305305305305305304304304304304304304303304303304304304304305305305305304304304303303303302301301301301301300300300299300300300300301300300301301301301302301301301300300300300299299299299299298298298298298297297298297297297298298298298298298298298298299299298298299298298298297297296297296296296295294294294294294294294294294294294293293293293294294294294294294294294294293294293294293293293293293294293293293293294293293293294294295295295295295296296295296296296296296296295295295295295294293292291290290291291290290289289289289289290290290291291291291292292292292292292292292291291291291291291291290290290290290289290289289289289289289288289289289288288288288288288288289288288288287288289288289288289289289289289289289289290290290290290290290290290290 999999999306307308309311310311311311311311311311311309309999999999999999999999999999999999999999999999999999999999302301300299299299299298299300299298299302299300300301302302302303303304305305306305305305304305305305305305306307307307306307307307307307307307307307307306305305307307307307307307305305305306307306304306308308308308308305302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295297296298300302302303302302302302301301301300301301302302301301301302302302302301301300300299300299300300300301301301301301301299300300300301300300300300300300300301301301300299300299299299299298298298296296298296296295294293293292292291290288288287287286287288289289287286287288287287286286286286288289288999999999999297297297297297296296297297297296297297297296296297297297297298298298297296297296297297297297297299297297297297298297298298299299297298297298298298299299299299298299300300300300300301301301301301301300301301301301300301301302301302303305305305305306306306306306306307305305305305305305305305305305305304304304304305304305305304304303304303303303302303303303303303303304303303303303304304304304304304304304305306306306306306306306305305305304304304304304304306305305305305306306306305305305305306306305306306305305305306305305305305304305305305305305304304304304305305305305305305305306305305305305305305305305306305306306306306306306306306306306306306306307307307307307307306307308307307307307307307307307307307307307307307308307308307307307307307307307307307307307306306306306306306306305305305305304304304304304304304304304304303303303303304303304305305304303303302302302301301301301301300299299299299299300300300300300301301301300301301301301301301300300299299299298298298298298298296297297297297297297298298298298298298298298298298298298298298298298298298297297296296296295295295294294293294294294293294293293293292293293292293294294293293293293293293293293293293293293292292292292293293293293293293293293294294294295295295295296295295295296296296296296296296295295294294293292291290290290290290290289289288288288289289289290290291291292292291291291291291291291291290290290290290290289290289289289289289289289288288288287288288288288288287287288288288288287287287288288288288288288289289289289289289289289289289290290290289290290290290 999999999999306309311312312310312312313310310310309308309312999999999999999999999999999999999999999999999999999999999303301299299299300299299299299300300299299300300301301303303303303304304304305305305305304304304304305305308306307307307307307307308308308308307307307307306307307307307306308307307306305306306307307307309308308308307309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297297297298300301301302301302302302301302301301302302302301302302302302302302301301300300300301300300300300301302301302301301300299298300300301300301300300300300301301301300300299299300300298298299298298298298297295293292293293292291289287287288288287287287286287287286285286287287287287285285285287289288999999999296297296297297295297297296296296296296296295296296297297297298297298298296297297297297297298297298299298297297297297297297299297298298298297298299299299299299299298299300300300300300301301301300300301300301300300300300301301302303302304304305305305306307307306306306306305306306305304305305306305305305305304304304305305305305305304304304303304303303303303303303303303303303304304304304304304304304304304305305306306305306305306306305306305304304304305305304306306306306305306305305305305305305305305306306306305306306306306305305305305304305304305305305304305305305305305305305305305305305306306305305305305305305306306306306306306306306306306307307306306307307307307307307307308308307307307307307307307307306306306307307307307307307307307307307307307307307307307306306306306306306306306305305305305304304304304304304304304304303303303303303304303303303303303303302302301301301301300300300299299298298298299299299299300299300300300301301301301301301300300300299299299298298298297297297297297297297297297297297298298298298298298298298298298298298298298298298298299297296296295295295295294294292294294294294293294292292293293293293293292292293293293293293293292292292292292292292292292292293292292293293293293293293294294294295295295295295295296296296296295295296295295295294294293292291291291290289288289288289289289289289289289289290290291291291291291291291291290290290290290290290290289289289289288289289288288288287287287287287287287287287287287287287287287288287287287287287288288288288288288288288288289289289289289289290290290290290290 999999999999999306307312310999311312310311312309308308310310309999999999999999999999999999999999999999999999999999999999301301300300300299299299299299299299299299300300301303303303303304304305305305304304305304305304305306307308307308308308309308308308310309308307307309307305308308306305305304304304305305305306307307307307306307305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298295296297299300301301301300301300301301301301300302301301301302302302302301302301300300300301301301300300301301301301301300298300300300300301299300300299300300301301300301300300300299299299299298298299297296295295294293293291288287286286287287287287288287287287286286287287286286286284285285287292999999999999296297296297296298298298297296296297296296295296296296297295298298298298298298297297298298299299298299298297298299297298299297298297297297298298298299299299299299299300300300300301301301301301301301301301300300300301301301301302302303302304305305305306307307306306305305305305306305306306305305307306306305305305304305305304304305304303303303303303303303303303303303303304304304304304304305304304304304304305305305305305305305305305305305304304304304305305305306305306306306306305305305305305305305305306306305306306306306306305305305305305304305305304305305305305306306306305305306305305305305306305305305305306306305306306306306306307306306306306307307307307307307307307307307307308307307307307307307307307306306306306306306306306306306306307306306306306306306307306306306306306306306305306305305304304304305305304304303303303303303303303303303303303303303303302302302301301301300299299299298299298298298298299299299299299299300300301300300301299299299299299299299299298298298297296297297297297297297297297297297297297298297298298298298298298298298298298298298298297296295295294294295295294294294294293294293294293292293293291292292293294293293293292292292292291292292291292292291292292293292293293293293293293293294294295295295295295295295295296296296296295295295295295294293293293291290290289288287288288288288288289288288289288289290290290290290290290290290290290290290290290290290290289289289289288288287287287287287286287286287287287287287287287287287288287288287287287288288287288288288288288288289289289289289289289289290289290289290 999999999999999999306303999999999311309312311308307308307309308309308309999999999999999999999999999999999999999999999999302301301300300300300300300299300300299299300300301302302302303305305305305305305305304305305305306307308308308308309308309309309310309309308308311310309306308308306305305305304305305305306306306306307306306307305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302300297294296294297299299300300299301300300300300301301302301301301301301301301300300300300299300300300300300300301301301302300300299299299300300300300300300300299299300300299300299299299299299298298298298297297296295294292292291288285286286287288287287287287286286287285285286286285285284284284999296294291999999999296296295295293298296297298296296296295295296296297296296297297298297297297297298299298298298298296299298298298298298298298297297297297298298298299299299299300299300300299300300300301301301300301300300300300300300300300300301302302303303304304305305305305306305305305305305305306306306305305305304305305305304304304304304304304304303303303303302302302303303303302303303303304303303303304304304303303304304305305305305305305305305305305304304303303304304304305305305304305305305305305305305305305305305306305305305305304304305304304304304304305305305305305305306306305305305306305305305305305305305305305305305305305305305305306306306306306306305306306306306307307307306306307307307306306307306306306306306306306306305306306306305306306306306306306306305305305306306306306305306306306306305305305305304304304305305303303303302303303303303302303302302302302301301301301300300300300299298298298298298298298298298298299299299299300300300301301301300299299299299299299299298298297297297297297297297296297297297297297297297297298298298297298298298298298298298298297297297296296295295296295295295294294293294293293293293293293292292292292292293294293293293293292291291291291291291291291292292292293292292293293293293293294294294295295295295295295295295296296296295295295295295294294293293292292291290290288288288288288288288288288289288288288289289289290290290290290290290290290290290290290289289289288288288287287287287287287286286286286286286286286286286286287287287287287287287287287287287288288288288288288289289289288288289289289289289289289290 999999999999999999999999999999999999999314312310999307307308307306306307309999999999999999999999999999999999999999999999301301301300301300300299300300299300299300300301301302303302303305305306305305305305305305305305307306307307308308309308308309309308308310308310311310308307306305304303303304304305305305306305305305305307306306306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298304302299298295295293295296298300301300300300300300301301301301301301301302301301301299300300300300300300300300300300300301302302301301300299299300300300301300300299299300300300300300298299299298298298297297298297297297295293292292288286286286287287288288287288288286287286286285285285285285285285999999296295293999295294297296295295296296298297296296295295296295296296296296297297297297298298297298298299299298298297297298298298297298298298297298297297298298298298299299298299300300300300300300300301301301300301301300300300300300300301301300301302303303304304304305306305305306305305305305305305305306305306305306305305305304305305305305304304305304304303303303302302302303303303303303303303303303303304304304304303303303304305305305304305305305305305305304304303303304304305306306304305305305305305305305306305305306306305305305305304304304304305304304304305305305306306306306306306305305305305306305305305305305305305305305305305305305305305306305306306306306305306307306306306307307307307307306307307306306306306306306306305306306305305305305306305306306306305305305305306306306306306306306305305306305306306305305305305304304304303303303303302303302303302302302302301301301301300301300299300299300298298299298298299298298299299299299299300300300300299300300299299299299299299298298298298297297297297297297296296296296296296296296297297297297297297297298298298297298298297297297296296296296295295295295294294294293294293292292293292292292292292292292293292293293293293292291290290290291291291291291292292292292292293293293293294294294294294295295294294295295296296296296295295295295295294294292293292291291290289289288288288288287287287286287288288288287286289289289289289289289289289290289289289289288288288287287287287286286286286286286286286286286286286286286286286287287287287287287287287287287287288288288288288288288289288288288288288289288288289289289 999999999999999999999999999999999999999311999999999999307307306306306306307305999999999999999999999999999999999999999999999302301301301300300300300300299300299300300301301302303304305306306306306305306305305305306306306306307306307309310309309308308307308309310310308308309307303302999999306304305305304305305305305305306307307307305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304301297298297296294294295298298301300300300300300300301302302302302302302301301301301300300301301300300300301300300300300301302301301301300299299300300301299299299300300300301300299299299298298298298297297297297296295294293291290286285286286286287288287288288287286286286286285285285285286286999999295298296295296296295297296295294297298298297296296296296296296295295296296297297297297298299298298298298299299298298297299299299298299299298299298299298299298298299299300300299300300300300300300301301301301301300300300300300300300301300300300301302302303304305304305305305306306306306306306305307306306307306306305305305305305305305304304305304304304304304304303303302302303303303303302302303303303304304304304303303304303303304304304304305305305305305305304304303304303303305305305305305305305305305305304304304305305305305306305305305305305305304304304304304304305305306306306306305305305305305306305305305305305305305305305306305305305305306306306305306306305306306306306306306307306306307307306306307306306306306306307306305306305305305305306306305305306306305305305305305306306306306305306306305305305306306305305304305304304304303303303303302302303302302302302301301301301301300300300301300299299298298298298298298298299298298299300300300300300300300299299299298298298298298298298297297297296296296296295296296296295296296296296296297298296296297297297297298298297297297297296296295295295295294294294294294293294294293293293293292291291291291292291291293292292292291291291289290290290291291291291292292292292293292293293293293293294294294294294294294294294295295295295295295295295294294294294293292291291290290289289288288288287287287286285288288287288287288288288288288288288288288288288288288287287287286286286286286286286285285285285285285285286286286286286286286286286286286287286286286287287287287288287287287287288288288288288288288288288288288288289 999999999999999999999999999999999999999309999999999309308306306306306306305305306307999999999999999999999999999999999999999302302301301301300300300300299299300299300302302303303305305306306306306305305305306306307306306306307306308308308308307307307307309309310309308308307307302999999999999304306304305305305305304306308307309308305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303299298298298295294295295295296299299300298300301301302302301302302302302301301301301301300300300300300300301300300301300301301301301301301300299299300301300299299299299301301300299298298298299299298298297296296295292292291290286284285287288287288289288288288287287287287286286285285285283285999294295297297296296296296296296296294295296297296296295295295294295295296297296297298298299298297298299299300299299299298299299301300299300299300300300299299299299298299299300300301301301300300300301301301301300301300300300300301300300300301300300301301302303304304304305305306305306305306307307308306307306306306306306305305305306306305306306304304304304304304304303303302303302303303303303303303303304304304304303304303304304304304304304305305305305305305305304304303304303304304304304305305305305305306305304305304305305305305305305305305305305305304305305304304305305305306306306305305305305305306306305305305305305305305305306306305305305305305305305306306306307306306306306306306306306306307307307307306306306306307307307306306305305305306305305305306305305306305305305305305306306306306306305306306306304306305305305305305304304304303303303303303302302301302301301301301300300301300300300300299298298299298298298298299299299299299300299299299299300299299299299298298298298298298298297297296296296296296295295296296295296296295296297296296296296296297296297297297297297297297296296295295295295295294294294294294294294293292292292292292291291291292291291291291291291292291290290289289290290290290291291291291291292292292293293292292293293293293294294294295294294295295295295295295295295294294294294292292291291291290290290289288288287286286286287287288287288287287288288287287287287287287287287287287286286286286285286285285285285285285284284285285285285285285286286286286286286286287286287286286287286287287287286287286287287287287287287288288288288287287287288 999999999999999999999999999999999999999999999999999308308306306305305306304306305306305999999999999999999999999999999999999999302302301301301300300299299299299300300301301302303304304306306306306305306306306306306305305305306306307307305306307309306306306309308309309307306305305999999999999999305306308307306305305305307306307307305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297296295294295295295296297298300300300301302302301302302300302301301301301301300299300300300300300301301301301301301302302302302301299300300300299299299299299299300301299299298298298298298297297295294295290287290289286285285287287288288289288288288288287288287286286286285284284282999999999999297296296296295297296296296296295296295296296295293294296295296296296297296297297298298298298298298299298298298299298298300297298299299296300299298299299300299299299300300300301301301300300301301301301300300300300300300300301300299299300301301303303303304304304304305305305306306306307307306307307308307306306306306306306305305306306305304304304304304304304303303303303303303303303302303303304303304304303303303304303304304304304304305304305305305304304304304304304304303304304305304305305306305305305305304304304305304305305305305305305305305304304304304305305304305305305306305305305305305306306306306305306306306306306306306306305306305306305305305306306306307307307306306306306306306306307307306307306306306307307307307306306306305306306305305305305305305305305305305306306306306306306304305304304305304304304304304304304303303303302302302302301301301301301301301301301300300300300299299298298298298298298299298298299299299300300299299299299300299299299298299298297297297297297296296296296296296296296295295295295296295295296296296295296296296296296296297297297296296296295295295294294294293293293293293292293293292292291291291292291291291291291290290290290290290290289289289289289289290290290290290290291291292292292292293292292293293293293293293294293293294294294294294293294294294294293293292292291291290290289289289288287287286286286286286286287287287287287287287287287287286286286286286286285285285285285285285285285285284284284284284284284284284285285285285285285285286286286286286286286286286286286286286286286286286286287287287287287287287287287287 999999999999999999999999999999999999999999999999999305306306306306305306306305305305305305305304999999999999999999999999999999302302303302301300300299299299300300301301301302304304305305305306305304306306305305305305305305306306305306306305306307306306307309309308308307305306305999999999999999999999999999999999999306306306307306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295295295294294294294295295297298300301301301301301301302302302302301302301301300299299299299300300300300301301301302302302302302301300300300300299299299299299299300299299299298299298298297297296293293999999287287284284285286287287287288288288288288288287287287287285285284283282280999999999999296296295295297295295295295294294294294295295296294295295296296297296295296295297297298297298298298299298299298298297297298298298299298298298298298299298299300300300300301300301301300301301301300300300300299300300300300300300299299300300301302302303304304304304305304305305305306307306306307305307307306305306306306306305306305305305305304304304304304304303303303303303302302302302302303303303303303303303302303304304305304304304305305304305304304304304304304304304304304304304304305305305305305305305304305304305305304305305305305304304305305305304304305304304305305304305305305305305305305305306306306306306306306306306305306305305305306305306306306305306306306307306306306306306306306306306306306305306307307307307307307306306306305305305305305305305305305305305305305305306306305305305304304304304304304304304304304304303303303302302302302302302301301301301301300300300299299300299299298298298297298298298298298298299299300300299299299299299299299299299299298298297297297297296296296296296296295295295294295295295295295295295295295295296295295296296296296296296296295295295294294293293293293293293292293292292292291291291291290291291291290290290289290290290290290289288289289288289288289289290290290290290291291291292292291292292292292292292292292292292292293293293293292292293293293293293293291291291290290289289289288288287287286286285285285285286287287287286286286286286286286286286286285285285285285285285285285285285284284284284284284284284284284284284284285285284285285285285285285286286285285286286286286286286286286286286286286287286287287286287287 999999999999999999999999999999999999999999999999999999999308999999304305305305305306305305305306307999999999999999999999999999304304303302302301300300300300300301301301302302303304305306305305305306306305305305305305305305307306306306306307307306306308309308309308307308306999999999999999999999999999999999999999999999999306306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293295296293292294294296296299300301301301301302302302302302301301301300300300299299299299299300300301302302301301301302302301300300299300300300300300301300300300300300299299299299298297296295294999999999999286284286286287288287288289289288288287287287286287286284284283283281999999999999999295296295293295295999294295295294294295295294295295295295296296295295295295296297297299298298298298297297298298298298298298298297297298298299298299298299300300301301301301301300301301301301300300300300300299300300300300300300299300300300301302303303304304304304303304305305305306307307307307307306307307306306306306305305305305305305305304304304304304304303303303302302303303302302302302302303303303303303303303304304305305305305304305305304304304304304304304304304304304304304304305305305305305305305305305305305304304305305305305305305305305304304304304304305305304304305305306306305306305305306306305306306306305306306305305305306305305305306306306305306306307307306305306306306307306306306306306306306306307307307307307306306305305305305305305305305305305305305304306306306306305305305303304304304303304304304303303303303303303302302301301301301301301300300300300300300299299299298299298298298298298297298298298299299299299300299299299299299298298299299298298297297297297296296296296295296295295294294295294295295295295294295295294295295295295295295295296295295296295294294293293293293293292292292292292292292292291291291291290290290289289290290290290290289289289288288288288288288289289289290290290290290290291291290290291292292292292291292292292291292293293293293293292292292293292292291291291291291290290289289289288287287286286286285285285289286286286286286286286286286285285285285285285285285285285285285284284284284284284284284284284284284284284284284284284285284285285285285285285285285285285285285286285285285285285285285286286286286286286286287287 999999999999999999999999999999999999999999999999999999999999305305999999999305305305306305305306306307999999999999999999304999999304304302302301300300300299299302301301302303302303304305305305305306306306305304305305305305306306306306306307305307307308307308308309308308310999999999999999999999999999999999999999999999999999999999305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295293291291295296296299300301301301301302302302302302301301301301300299298298298298299299300301302302302302302302301302300300300300300300301301302302302302301300299300300299298297296296293999999999999284286287287288288289288288289289288287287287286287286285284283283283999999999999999296295294999999999999294294293293294294294296296296294296296296296295296298296298298298298299298299298298298298298298297297297296297297298299299299299299300300301301302302302301301301301301300300300300300300300300300301301300300300301301302302303304304305305304304304305305306306306306306307307307307308307307307307307306306306305305306305305304304304305304304304303304304304303303303303303303303304304304304304305305305305305305305305305304304304304304304304304304304304304305305305305306305306305305306306306306305305305305305306305305305305304304304305305305305305305305306306306306306305305305306306306306306306306306306305306306306305305306306306306306307307307306306306306307307306306306306307306307307307307307307307305306306306306305305305305305305305305305306304305305305305305305304304304304304304304304303303303303303303302302302302302301301301301300301301300300299300299300299298297297297297298298298298298299299298298298299299300299299299299298298297297297297297296296296296295295295295294295295295295294295295295295295295295295295295295295294295295295295294294293293293292292292292292292292292291291291291291291291290290290289289289289289290289289288288288288287287288288288289289289289290290290290290291290290291291292292291291291291292292292292292292292292291291291293292292291291291291290290290289289288288287287287286286286285285288288286286286285285285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284284284284284284284285285285285285285285285285285285285285285285286285286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999305999999999306307307306306305306305307999999999999999999307999306304304302302301301300300300300300300301302302302303305304305305305305305304304304305304305305306306306306306306305307307306306308308308308310307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293293294295297298299300301301301301302302302302302302302301300298297297296297297297297299300300302302302302302302301301299299299299301302301301302302302301300300300300298296295295999999999999999284285287288288288289289288289289288287286287286286286285283284282284283999999999999999294292999999999999999293295294294294294294294296295296296296296296297296298298297297298298297298298298298297297297297296296296296297298298298299299299299300300300301301302302301301301300300299300300300300300300300300300301301301301302302302303303304304304304304304304305305305305306306306307307307306308306307307308307307306306306306306305305305305304304304303304304304304303303303303303303304303303304304304304304304305305304305305305304303303304304304305305305304304304304305305305305305306306306306306306306306305306306306305305304304305305304304304305305305305305305306306306306306306305306305305305306306306306306305306306305306306305306306306306306306306306306306305306305306306306306306307306307307308307308308307307306306306306306306305305305305305305305305305305305304304305305305304304304304304303303304303303303302303302302302302302302301301301300300300300299300299300300300299298297297297297298297297298298298298298299299299299299298298298298298298297297296296296296295295295295294294294294295294295294294294294294294294295295295294294294294294294294294294293293292292292291292291292292291291291291291291291291291290290290290289289289289288288288287286287286287286286287288288289289289289289289289289289290290290291290290291291290290291291291291291291291291291291291292291291291291290290290290290289289289288288288287287287287287286285288288285286286285285285285285285285285285284285284284284284284284284284284283283284284283283284284284284284284284284284284284284284284284284284284284284285285285285285285285285285285285285285286286286286285286286 999999999999999999999999999999999999999999999999999999999999999305999999999309308308307307306306305306306306307309308306305305305305304302302301300301300301300300300300301301303303303305305305306305304304304304305305305305306306306306306306306308306307307308308310310312999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293296297297298299301303302302302302303303303302301300298296999999999999295295297299300301302302301301302302302301299299299300302303302302302302302301299300300300298297296293999999999999284286287289289289288289289290289289288287287287286286284285284283283285999999999999999296293999999999999999999294294294293294294294295296296295296296296296296296296297297296298297297297298297297297296296297297297296297298298299298299299299300300300300301301301302301301301301300299299300300300300300300300300300301302301302302302303303303304304304304304304305305305305306306306307307307308308307308308308308307307306306305306305305305305304304304303304304304304304303303303304304304304305305305304304304304305305305304304304304303304304305305305305305304304304304305306306306305306306306306306306306306305305306305305304304304305304304304304305305305305305305305306306306306305305305305306305305305306305305305306306306306306306306306306306306306306306306306306306305305306307306306307307307307307307307307308308307306306306306306305305305305305305305305304304304304303304304304305304303303303303303303303303303302302302302302302302302301301301301300300300299299298299299300298299298298298297298298298298298298298298298298299299298298298298298298298297296296296296295295295295294294294294294294294294294293294294294294294294294294294294294294293293293294294293292292292291291291291292291291291291291291291291291291290290291290289289288287287287287286286286286286286286286287287288288288288289289289289289290290290290290289289290290290290290290290290290290290291290291291291291290290290290290290289289289288288288288288287287288288287287286286286286286285285285284284284284284284284284284284284284284284284284284283283283283283283283284284284284284284284284284284284284284284284284284284284284284284285285285285285285285285284285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999309309307306305306306305305307307306307306305305304304999999999301301301300301300299300300300300301302302303303304304304304304303303304304304305305306307306306305307306306306307308308309310308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297298298298302301302302303303302301300298298297297295999999999999999999296297299300300301301299300300300301299298298300301301301301301301301301300298297298297297999999999999999999285287289289289289289289289289290288288287286286286286286285284284283282999999999999296294293291999999999999999292294294294294294294294294295295297296296297296296296296295296296297297296297297298297297297297297297297298298298299299300300300300300300301301302302302302301301300300300300300300299300300300300300301301302301302302302303303302304304304304304304305305305305305306306307308307308307308307307307307307307306306306306305305305304304304304304304304304304305304304304304304304305305306306305305305305304305305304304304304304304304304304305304304304304304304304304306306306306306306306306306305305304305305305304304304305305305304305305305305305305305305305305306306306306305305305305305305305305305305305305306306307307306307307306306306306306306306306306306306306307306306307307307307308308307308307308307306307306306306306306306306306306306305305305304304304304304304304304304303303303303303304303303303302302302302302302301302301301301301300300299299299297299299300299299298297298298298298298298299298299299299299299299299299298298298298297297296296296295295295294294294294293293294294294294293293294293293293294294294294293293293293293293293293293293292292291292291292291291291291291290290290290290290290290289290288288288287287286286286286285285285286286286286286287288288288288288288289289289289289290290289289289289289290289289289289289290290290290290290290290290290290290289289289288288288288288288288288287287287287287287287286286286286285285285285284284284284284284284284283283283283283284284283283283283283283283283283283283283283283283283284284284283284284283284284284284284284284284284284284284284284284284284284284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999307999999999307306305999307307306305306999999304999999999999300301301301301301300300300300300301301302302303303303303303304303303303303304304304304305306306306306305306306307308309309310307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294298298298299300302302302303302300299295294297296295294999999999999999999999299300300999300301297297297298300298297296299300299299299300299300300300297297297295999999999999999999284286288288289288289289289289289289288288288288287286286285285285283283284999999999295296294999999999999999999292293294294293294294293294294293294294296296297296296296296295296297296296296296297297296297295297297296297297298299300300300299299300300301301301301301301301301300300300300299299299300299299300300300301301302302302302302302303303303304304304304304305305305305305306306307307307306307307307307306308307306307305305306306306305305304304304304304305304304304304304304305305305306306305306305305305305304305305304304303303303304304304304304304304304304304305304304304304306305306305305305304305305305305305304304305305305304305305304305305305305305305305305305306306306306305305305305305305305305305305306306307307307307307307306306306305306306306306306306306306306307307307306307307307309308307307307307307307306306306306306306306306306306306305305304304304304303304304304304304303302304302303303303302302302302302302302302302301301301300301300299299299298298299300299298299298298297297298298298299299299298299299298298298298299298298298297297297296296296295295294294294293293293293293293293293293293293293293293293293293293293292292292292293292292292292292291292291291291292290291291290290290290290290290290289288288288287287287286286286285285285285285285285286286286287287287287288288288288288288288288289289288288289289289289288289289289289289289290290290290290290290289289289289288288288288288288288288287287287286286286285285285286286286286285285285285284284284284283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283284283284284284284284283283284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308308303305306306305999305305305306999999302302300301302300301300301300301301301302302302302302302303303302303302303303304304303304305305306306305306307307308309308308307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299300299301302302302301299298296294296296295294999999999999999999999999999999999999999999999999999999999296295295295300299299299299298299299299297296295999999999999999999284285288289289288289289289289289290289288288287287287286286286285285284283284285999290297295999999999999999999293292293293293293292293292293293294294295296296295297296296295296297297297298297297297296297296296296297296297298299299299300300300300300300300301301301301301301301300300300300300300300300300300300301301302301301302302302302303303303304304304304304305305305305305306307307308307308308307307308307308307307307306306306307306305306305305304304304305305305305305305304304305305305306306306306306306306305305304304304304303303303303304304304304304304304304305304305304305304304304305305304304304305304305305305305305305305305305305305305305305305305305305305305306306306306305305306305305305305305305305306306307306306307307307307306306306306306305306306306306307307307307307307306306307308308308308308307307307307307307306306306307307307306306306306305305305304305304303304303304303303303303302302302303302302302302302302302302302302301301301300301300299300299298298298298298298298298298298298298299299298298300298298298298298298298297297297297296296295295295295294294294293293293293293293293292292292292293292292292292292292293293292292292292292292292292292291291291291292291292291291290290290289289289289289289288288288287287287286286286285285285284285285285285286285286286287287287287288288288288288288288288288288288288289288287288288287288288288289289289289289289289289289288288288288288288288287287288287286286285285284283282282286287286286286285285285285284284284284283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283284284284283283283283284283283284284283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309308999306306306305307309999306305303999302302302301301301301301301301301301301302301302301302302303303302302302303303304305304303305306305306306306306307307307307307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301300999999999999999297298300300299300302302302301300298297300999300299299999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999299298298999999999999999999999284285287289290289289289289289290289289289289289288288287286286286285284284283284283287999291290999999999999295294293292293293293294294294293293294295295296296295297296295296296296296296297297296297297297297296296297296297297297298299299300300300300300300300300301301302301301301300301300301300300301301301300301301302303302302303303303303303304304304304304304304305305306306306306306306307307307306308307307306307307307307307306306306306306306305305305305305304305305305305305305305306306306306306306307306307306306305305305304304304303303303304304304304304304305304305305305304305305305305305305305305304305305305305305305305305305305305305305305305305306305305305305305306306305306305305305305305305305306306306306306306307307307308306306306305306306306305306306307306307307305306307307308307310307308308308308308308307307307307307307307307306307307306306306305305305305305304304304304303303303303302302302302302302302302302302302302302302301301301301301300301300300299298298299299299299298298298298299298298299298298297298298297297298298297297297297297296296295295295295294294294293293293293293293292293292292292292292292292292292292292293292292291292292292292292292292291291291291291291291290291291289290289289289289289288288287287287287286285285285285285284285285285285285286286286286287287287287287287288288288288288288288288288287287287287287287288288288288288288289289289289289288288288288288287287288287287286286286286286285285284283282285286286286286285285285285284284284284284284283283283283283283283283283283283283283283283283283283283283282283282283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999307307307999999308309305999308307305307307306306305305304303303302302301301301301300300300300300301301301301300300302302301302302302303302303305304304304306305305305305306306306307307307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296297298298298298298299298298300300300300300301302301300299296296300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284286288289289289288289289288288288288287288287287287287286286285285285284283284284285999999999999999999293294294293293293294293293293293293293294294294295295295296296296295296295295295296296295297296297296296296296296297296297298299299300300301300300300300300301300301301301301301301300300301301301301301301301301302302302303303303303304304304304304304304304305305305305306306306306306307307307307307307307307306307307307306305305306305306305304305305305305305305305305306306305306306306306306306306307306306306306306305305304304304304303303304304304304304304304304304305305305305306305305305305305305305305304306305305306305305305305305305305305305306306306305306305305306306305305306306305306306306306307307307307307306307306306306305305305306306306306306305306306306307307306306306307307307309307307308308308308308307307307307307307307307307307307306306306305304305305304304304303303303303302302302302302302302302301301301301301301302301301301301301301300300300300299299300299299299299298298297298298298298298298298298297297297297297297297297297296296296296295295295294294294294293293292292292292292293292292291292291291291292292292292292291291291292292291291291291291290291291291290290290290290291290290289289289289288288288287287286286285285285285284284284284284285285285286286286286286286287287287287287287287287287288288288287287287288287287287287287287287288288288288288288288288288287287287287287287287287287287287287286286286286286286286286286286285285285285285284284284284284284283283283283283283283283283283283282282282282282282282282282282282282282282282282283283283283283283282283283283283283283283283283283283283283283283283283283283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310309305306306308305305306306306305304304304304304303303302301302300300299300300300300300301300300300301302302301301301301302302304304305305306306305305305307306307307308307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296297297298299299299300301301301300300300301301301300298297295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282286288289289289289288289288288288287288288288288287287287286286286285284284284285283999999999999999999999999294293292292293294293294294293293292294293295295295295295295295295295294295295294294297295296295295295295296296296296297297298299299300301300300300300300300300301301301301300301300301301301302301301301302302303302302303303303303304304304304304304304304304305305305306306307307307307307307307307307307307306308306305305306306307306306305305305305305305305305305305305305305305306306306306306306306306306306306305305304304304304304303303303303303303303304304304305304304305305305305305305305305305304304305306305305305305305304305305305305306305306306305305305305305306306305305306306306306306306305306306306306306306306306306306305305305305306306306306306305306306306306306307307307307307307307307307307307308307307307307307307307307307307307306306306305305305304304304303303303302302302302302302301301301301301301301301301301301301301301301300300301300300300300299300299299299299298298297298298298298298298297297298298297297297296296296297296297296296295295295294294294293293293292292292292292292292292292291291291291291292292292292291291291291291291291291290291290290290290290290290290290289290290290289288289289288288288287287286285285285285285285285285285285285285285286286286286286286286287287287287287287287287287287286286287287288287287287287287287288288288288288288288288288287287287287287287288287287287287287287287287287287286286286286286285285285285285285284284284284284284283283283283283283283283282282282282282282282282282282282282282282282282282282282282282283283282282282282283283283283283283283283283283283283283283283283282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308999999305304307305303304305306304302303304302302303302302301300300299299299299300300300300300299299300300299300300299300301302303303304304305305305305305305306307306307308308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294295296296297298299299300300300300301301299300300300300297295295294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285286288288289289289287287287287287287287288287288287285286286286285284284283284285283999999999999999999999999999999999293292293294294293293293293293293294294294295295295295295295294294294294294296295294294295295295296295295296297297297298299299300299299299299299299300300301301300300300301301301301301301301301302302303303303303304303304304304304304304304304304304305305305306305306306306306306307307306307306305306306306306306305306306305305304304304304304305305305305305304305306306305306306306306306306306306306306305305304304303303303303303303303303303303304304304304304304305305305304305305305305304305305305305305305305305305305304305305305305305306306305305305305305305306305306306306305306306305304306305305305305306306305305305305305305304305305305306306305305306306306306306306307307307307307307307307307307308308307307307306306307307307307306306305305304304304304303303302302302302302302301301301301301301301301301300301301301301301300300301301301301300300300299299299298298299299298297298298298298298297297297297297298297297296296296296296296296295295295294294294293293292293293292292291291292291292292291291291291291291291291291291291290291291291290290290290290289290290291290289288289288289288289289288288288288288287287286285285285285285285284285285285285285285285286286286286286286286286286286286286286287287286286286286286286287287287287287287287287287287287287288287287287287287287287287287288287287287287287287287287287287286286286285285285284284284284284284284284283283283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999999999304304305305306306305304304302304303301301301300300300299299299299300300300300300300300300300300299300301301302302303303304304305305305305306307306305305306308308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296296297298298299300300300300300300301301300300300300298296294291999999999999305303303304304999999999999301301301301300300999299297297296296297297296296296296297999999999999999999999999999999999999999288287288288288288287288288288288288288287287287287288287286286287286286286285284284285284284285999999999289288999999999999999999294293293294294294293293293294294295294295294296295296295295295295296295297296295294295294295295295296296296298298298299299299299299299299299299300300301300301300300301301301301302302302302302302303302303303304304304305305304305305305305304304305305305305305306306306305306307306306306307306306306306305305305306305305305305304305304304305305305305306306306306306305306306306306306306305305306306306304304303303303303303303302303303303303303304303303304304304305305305305305305305305305304305306306306306306305305304304304305304305305305305304304304304305305306306306306305305305305304305304304304305305305305305305305306306305305305305306305305306306306306306307307307307307307307307307307307307307308307307307307307307307307306305305305305305304304303303303302302302302302302302301301301301301301300300300300300300300301301301301301300300300300299299299298298298298299298298298298298298298298297297297297297297296296296296296296296296296296295295294294293292292292292292292292291292292292292292292291291291291291290291291291290290290290291290290290289289289290290289289289288288288288288288288288288288287287286286285285285285285285285285285285285285285285285286286286286286286286286286286286286285286285286286286286287287287287287287287287287287287287287287287287287287287287287287287287288287287287287287287287287286286286286285285285285285284283283285284284283283283283283283282282282282282282282282282281282281282281282282282282282282282281281282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306999999999999999305306306306305305305304305302303302301301300301301300300299300300300300300299300301300300299300299300301301302302303303304305306306306306306305305307307308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296296297298299299300301300301301300301300301300301301299297296293291999999999999305304304303303303303302302301301301300299299298298297297297297297297298298298297297296999999999999999999999999293292289289289289289288289288288288289289288288288288288288287287287287287287286287286285285285285283285286287999999290289289289288288999999292293294294294294293294294293294294295295295296296297297296297297298296296296295295295295295296296297297297298299299300299299299300299300299299300300300301301301301301301301302302302302302302302303303303304304305305306305306306306305305305305306306306306305305306306305306306307307307308307307306306306306306306305306305305306305305305305305305306305307306306306306306306306307306306305306306306305305304304303303304303303303303304304304304303304304304304304305304305305305305305305305304306306306306306306305305304304305304305305305305305304304304305305304304305306305305305305305305305304304305305305305305305306306306306305305305305305305305306306305306306307306307307307307307308308308307308307307307307307307307307307306306305305305305305304304304303303302302302302303303302302302301301301301301300300300300300301301301301301301301301301300300300300299299299298298298298298298298298298298298298297297297296296297296297296296296295295295295295295294294293292292292292292292292292292292292291292292292291291291291291291291290290290290290290290289291291290290290289289289289289289288288288287288288287287287287286286286286285286286286286286286285285285285285286286286286286286286286287286286286286286286286286286287287287287288287287287287287287288288287287287288288287288288287288288288288288287287287287287287287287286286286286285285285286286285284284284284284283283283283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306304304304305305303303302302302302301301300300300300299300300300300300300300301300300300300300300301301302303303304305305306305306306305306306307308309309309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298299299300300300301301301301301302302302301301300299297295291290999999999303304304303303303303303301302301301301301301301301301300300299299298299299299298299300299296296295294294294293293293291290290289289288288288288288289289288288288287288288288288287287288288287286287286285285286286286287289288999999290290290290290290290290290290293293293293294292293293292292294295295296297297297298298297297298296295295295295296296297297297298298298298299299299299299299299299300299299300301301301301301301301302302302303303302302302303303304304304306306306306306306306306306306307307306307306306306306306306306306307307307306306306306306306306306305305306306306306305305305305305306306306306306306306306306306306306306306306306306305305305305305304304304303303304303303304304304304304304304304304304304305305305305304305305305305305305305306305305305304305304305305305305305305305304305305305305305305306306305305305305305304304305305305304305306305305306306306306306305305305305306306306305306306307307307307307307307307307307307307307307306306306307307306306306306305305305305304304304303303303302303303303302302302302301302301301301301301301301300301301301301301300301301301301301300300300300300300299299298298298298298298298298298297297297297296296297297297296296296296296295295295295294294293292293292292292292292293292292292292292291292291291291291291291291290290290290290290290291290290290290289289289289289288288288288287287287287287287287287286286286286286286287287286286286286286286286286286286286286286286286286286286286285286286286286286286286287287287287287287287287287287287287287287287287287287287287287287288288288288288287287287287287287286286286285285284284283284284286285285284284284284283283283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303303303303304304302301301301301301301300300300299299299299299299300301300300299300300300300300300300301302303304305306306305305306305305305305306307309310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298298299300300300300300300301301301302301302302301300298296294292999999999304303304303303303303303303302302302300301302302302301302301301302301301301300300300299300300299298297296295295295294292291290289289288287288288288288290290288288288288288288288288287287287287287286286285285285284286287287289288999999291291290291291291291291291290290292292292292291291292292292292293294295295296297297297297297298297296296295295295296297297298298299299298299298298297298298298298299299299299300300300301301301302302302302302303302303302302303304304304305306306306306306306306307306307307306307307306306306306305306305306306307306306306306306306305305306305306306305306306306306305306305305305306306305306306305306307307306306306306306306305305305305305305303304304304304304305305304304304304304304304304305305305305305305305304305305305305305305305305305305305305305305306305306305305305305305305305306306306306306306304305305304305305304305304305305305305305306306306306306306305306306306306306305306306306306307307307307307307307307307306307307307307307307306305306305305305305305304304304304303303303303303303303302302302301301301301301301301301300300300301301301300300300301301301301300300300300299300299298299299298298298298298298299297297297297297297297298297296296296295296296295295295295294294293293293292292293293293293293293293292292292292291291291291291291290290290290290291290290290289289289289289289288288288288287287287287287287287287287286286286286286286287287287287287286286287286286286286286286286286286286286286286286286286286286286286286286287287287286287287286287287287287287287287287287287287287287288287287287287287287287287287287287287286286286286286285285284283284286286286285285285284284284283283283283283283282282283282282282282282282282282282282281282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304303303305307307303303301301301301301300300300299299299299298299299299300299299300300299300300300301301302303305305305306305305305305304305304305307310310305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299299299299299299300300301301301301302302302302301300299298293292291999999303304303303303303303303304304303303302303302302303304303305305305305304304303302302301301301301300299298297296295294292290289287287286287288289289289291291290290289289289288288287287288287287287287287286286286285286286287288288999999292292291293292292292292293293292292293292293292292291291291290291292292294295296295295295296296297297296296295296297297298299299299299300299299299300300299299299299299299300300300300301301301301301302302302302302304304304304304304304305305305305306306306307307306306307307306306306306306307306306306306306307307306306306306307306306307306306305306306306306306306306306306306306306306306305306306306306306306306306306306305305305305305305305304304305305305305305305305305305305305305306306305305305305306306306306306305305305305305305305305305305305306306306306306305305306305306306306306306306306305305305305305304304305305304305305305305305305306306305305305306306306307306306306307307307307307307307307307307307307307307306306306308307306306305305305306305305305305305304304304303303303303303303303302302302302302302302302301301301300300300301300299300300301301301301300300300300301300300299299299299299299299298298298298298298298298298298297297297297297296296296296296296295295295294294294293294294294294293294294294294293293292292292291291291291291290291291291291290289290289289289288289288288288288287287287286286287287287287287287287287286287287287288288288288287287287287287287286287287287287287287286286286286287286286286287286286286287287286286286286286286286287287287287287287287287287288287287287287287287287287287287287287287287287287287288288288288287287287287287287286286285285285285284284284283283283283283283283283283282282282282282282282282282282282282282282282282282282282282283283283283283283283282282282282282282282281281281281281281280280280