2023 8 27 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 94 97 97 98101105108111113117120122126127128128129130128124120116114112112111111110107108111112115114112111110110109107105104 99 98 98100 99 96 96 97 99 98 96 96 97 99100100 99100101102104104105105104105107999999999999999999999999999999999999999999999999999999999999999999999142137137138140140140141141141143999999999140141141141141143144144143142140999999999134133132131131132132130129128133129127129129125123126126124123124124125127126126126124119124122117111110109108999106103104105105109110111112113114115115115116117117117116117115115116115115115114112112113114114114114114114113112112111110110110110109109109109109109109109110110109109111112113112112112112112111111110110110110109109109108107107107107107107108109109109109110110110109109109109107108106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 89 92 95 96 97 98100104106107109112114118121124125126126126125122118113108105103100101106107106104105108110111112111112112111111110107106106107106106106106108107104103104103103104105104104104106107108109108107106999999999999999999999999999999999999999999999999999999999999999999138140140140137138137136136135135135136999999140141141140140140141141142141138999999135134134131132131131132131130129129129128127127127123122125125124124124124124125129123122124123122122121119114111109109110105105108108111112113113114115115115116116117117117118118115115115114114114115114112112112112113113113113113112111110110110110109109109109109109109109110110110111112113113114113112112112111110110110110109110109108108108107108108107107107108108109110110110110109109108108108107107106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 92 94 94 96 97 98101103104107108110113117121122122119118117113110109106103 99 97 96 96100101101 99 99104106109112113113113113113113113113112112113113113113112110111109107108107108108108108107108109111110109999999999999999999999999999999999999999999999999999999999999999999136137137138139138138138137136137137136136136137140139138137137138137137137136135134133133133134133133132132131128128128128128127127127127127125124126124124124123123123123125123122121122124124121120119117115112111111109111112112113113115114115115115116117117118118118118115114113114114113113113113114113111112111112113112112111111110111110110110110110110110111111112112112112112112113111111110109108107107107107108109109107106108107108108107107107107108109110109110110110109108108107106106105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149149152151151149145138138137132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109104105107107107110114116117117116118120121121118114111110107102104102 99 97 96 97 97 96 96 94 96101103105109111113114114115115116116114114115115116116115114113112110109109109109109109108107107109109999999999999999999999999999999999999999999999999999999999999999999999999999136139138140136135135134133135135135135136137138135135135136138138135135134134134132132131133133131129126126125126125127127127128126128128129124124125125125124124122124123122121122124124124122120119118117115113110111113114114114114116114115116116115115115117118118119116116113113114114114114114114114114113112112112113112112112112111110110110111111112113112113113112112112111110110108106107107106106105105106107107107106106108108108109108108107108108109109109110109109109108107107105105105105103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148152151147147147143140137135133130129130129999999999136134133132134137999999999999999999999999999999999999999999999999999999999999999999999999999999 89117120118117117115118120124127128126125122121121117113110107104 97 97 96 96 95 96 97 96 92 92 93 97100102106109112115116117117118118118117117118117117117116116113112111111110111110110109109107999999999999999999999999999999999999999999999999999999999999999999999999999999133137139139139138137135133133131132131132134134135135132133135138138136134134132131134134133130129128127127126125125125124124125124128127128125124125125125126125124124125124123123123123125125121122121119119118117116114114114114112114115116116117118117116116114115117118117116115115113114114113113114114115114114113113112113113112112112112112112112113113114114114114113112111109109109108107106106106106105105105105107107106106106107107108109108108108108109109109109110110109109108107107105105106104104103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143999999999999999999999999999999999999999999999999999999999999999145141141143146151146143143141137134133134130129126124124126127129132130129131133134137139999999999999999999999999999999999999999999999999999999999999999999999999 88 88 88999999999999999999122123125132127124122119115112109106102 98 97 95 93 93 94 96 93 91 91 93 96100103109113114115116116117118118118118119119118115116116115113113112113113113113113113115999999999999999999999999999999999999999999999999999999999999999999999999999999999130135137138139139138135134132130132132133131133133133133132133132133134133131130130129130123124127127126126127127126126126126125125126127126125126125125125125124124124123123123124122120121121122123123121120119118119118117115114113115115115116117116117116116115116116117116116116115115114115115115115114115115115115115115114113113113113113113113114115114114113113113111110109109109110108107108107108107108107107107108107106107108109109109108108108108108109109109109109108108108107106107105105105106105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153999999999153151149149145147150150150149148148148152155154153152152151151149149999999999999146143143141139138137137999999999999999999999132130130130130130999999999142140139140141141137135135136135135132130130128125122119114116119121122123129134138138136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97126130124121116115113111106103102 98 94 93 95 94 92 93 90 90 93 95 97100104108111113114114115116117117118119118119118116115114113112112112114114115115115116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136138138139139139138137135133133133133131132131131131131132130130130130130130129128127123122125125126127127128128127127125125126126126127126127126126126125126124123124124123122121123122122122124124124123119118119120119117117116115115114115116116117116117116116116117116116116115115115114115116115114114115114114114115115115115115114114115115115115115114114114112111110109111109109108108109110109109109108108108107107108108109109110109109108107107107107108108109109108107107106106107105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157158158157156157156154153151149147145147149151151150148148149151150150150150149148148146143999999999999144141142143142139141140139140136133130130128128126125127127128126999124123122128127129129129128128128127128127127127126126125123118114114114114116121130136138139140144144144147999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129121 98 98103103101102103102 99 95 94 93 92 96 94 93 93 92 95 98101103106108109111111113115116116118119120121119117116116115113113113113113112112999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146141139139140140139138136135134131133134132128130130129131131130130128128129128129126124127123125127127127128129129128127127127128128127127127127126126126126126126125124123123124123122122122121122123122121120119118119121115115118117115113115116116116116116116116117117117116116116115116115115116115115115115115115114114115116116116116116116115115114114113114114112111111110109109109109108108109109108108107107107107108109110111111110109109108108108108107108108108109108107107107107107106106105105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160160160161161162162160159158157156155154152150149149149150151151150149149149150150150150149147146144141139140141142141142143145146146147147147145144140138134131131130129128127126125124123122123121121123126125123122121121123123123123123122121121122119112106105106112116121128132137140143143127999999999999999999999999999999999999104103104 97 92999999999999999 82 78 77 76 78 83 85 86 92107 99 83 92 98 96 88 89 93 93 89 92 95 98 95 96 94 93 95 95 98103104106107107108110112114116118118118119119118118116116117115113113114114114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150145145144143142140140139138130133126131999999124127128128127127128127126126125123128129129127127127126126128128128128129128128127128129128128128127128127127127126126126126126125125125125124123123122122122121124120119119122121115116117118116116116115116116116115116117117116117117116115116116116116116115115115115115115115114115115115115115115114114114114114114114113112111111111110110109108108108109108108108107109109109111110110111111110110109109108109109108108108109108108108108108108107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162163163164165165164163161159158158156156155154153152150151151151152151151152151150151153153153154153151149147146147147146145146148149150150150150151151148147145142139137136135133132129127126125124123123124124124124122121121121120118114112111109111110106100100100 99 97999999999999999999999999999999999999999999999999999999103100 98 99 95 93 89 84 80 80 81 78 78 76 76 74 78 79 78 76 76 75 72 75 76 78 80 84 84 86 83 82 85 92 96 96 99 95 93 96 97100103103103103104105108112114117118118118118116115116114114113113112114115118117999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150148147146146144142140137136129999999999999999999128128129129129130127127128128126129127128129127130128127127128128128128129129130124128127127128128127127125126126125125126125124124125124123122121121121120119119121120121120121118118118119117115115116115115116115117117117117117117117116116116116117116117116116116116116114114114114114115115115114113113113113114113112111112111111110109109108107107107107109109110110110110110109108108110110110110110109109109108108108109109108108108108108108107107106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163164165165166166167166165165164163162162161162161161160156156155155156157155155155156157157157158158160160160159157156155155153153152151151152152152151151153153152150149146143140138137137135134132130129128127127125124123122122120119118115112109106104103102100 98 98 99 98 99 96999999999999999999999999111108106105104999999999100 98 97 96 95 91 89 88 88 85 83 82 80 79 79 76 75 75 75 74 72 69 72 79 77 79 85 89 89 89 81 83 87 91 96 99102100 96 95 96 95 98101101103103105107109111113113113115115114111111109111111110111114115118122127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149147147146145144144142141138999999999999999999999999125128128129129130128129128129131129130130130130130125128129127128127128130129129128129129127127127127126125125125125123123121120120120121121120120119120119119119119123122118119120119118119117115114115117116115115116115116118117117117117117117117117117117117117118118117116115115115115115115114113114113113113114113113112113111111111110110108107108108108108110110110110110110109109109109110110110109109109108108108109108108108108108108108107106105106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164165166166166165165164164164165165165165165165165163161159159157156157157157156157159159160161162162164164164164163162160159159158156155154154153152152152152152152149148146145143141139138138138137137134133132130129128126126125124121119116114111109108106104103101 99100101 98 98100100104999103103103104103101102103102100 96 97 97 96 96 95 93 91 90 88 87 86 85 84 83 81 81 77 75 73 73 73 75 74 75 83 85 92100 98102 95 95 95 96 97101106105102 96 94 94 96 96 98101102105107109110111113114114113111112110110110108109111113116121125127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149149148146145144144144141137999999999999999999123124125129129129128129129128129129130129124129129126129128125125124123124125126127128128128129128129126126125125125124123123122121120119119120120120120120121120118119119120121119121120120118118117118115115115115115115115116117116117117117118117117117116117118117117118118117117117118117117117117117115114113114113113114113113113113111112111110110109109109110110110111110111110110110111111111110110109109110110109109109108109109108108109108108108107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160160163164164164163163164164164165166166166166166166166164163163162163163163162161160160161161161162163163164164165165165164163163162161160158158158156156155155154153152152151150148147147145143142141141141140140139137135132131131133132130127122120117114111112112112110107107106105106103102103105107109107107105102101101101100100 97 96 97 96 96 92 90 92 91 92 91 89 88 87 86 85 83 81 80 79 81 86 95 97 98101101103106108108107105103104107107107107102 94 89 93 96103104105107109111111109110110109108109109109109109110111113115116123127129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145147148147147145143142142141138137999999999132129128124125127129130130129128127128127127127127127121124127126125125125123123124126126127127127127128127127128128126126126125126125126122122120119120120119119118119120120119119120122122121121119118118117116116117116115117116115116117117118117117117118118117117117116117117117118118118118118119119118118118118118115114113114115113114113112113111111111111110109110110111111111111111111111111111111111111112111111110110110109108108108108108108108108108108108108107107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162162163162162161161162164164165166167166166166166166166166166166166166166165165164165164164164164164165165165165166166166166164164164163162161161161160159159160160158158158157156154153153152149147145144144144143142141140138137139139139137133128125123120116116115113111110109108105105104102102103104106106106103101101101 99 98 98 97 97 96 94 92 89 87 90 91 89 89 89 87 87 90 93 92 94 94 93 95102108113114115116116116116114111109109109109109105 99100 98 98100104105107110111109106101102102103106105105106107108110114117121123126129133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147148147148147146143142139139137134134999130131131131131131131130130130129128127127126128128128127127129129126127128126125124122123124124125124126128125126125125126127127127126128127124124123121120120120121118117118120119119119121122122121120119120118116116116117117117117116117118118118117117117117118117117117118117118117118118118118118118120120119119120118119116115116116115113113113113112112112112111110111111111112111112112112112112112111111111111112112111111112111110110107107108109105108107108109109109109109108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164164164165165163162160160162163164164165166166167166166166166167167167166166166166166166166166166166164165166166166166166166166166165165165164163163162161161161160161160161161160160160160159158158157153149147146146146146145146145144143142142142142137135131127123120118118116114111111110108109109105103102102102104105107107108108107103100100101 98 97 96 94 92 91 88 87 91 95 99105116119116113114114116117120122122122120118118117114111110111108105103101 99 99101101102104107110105104102100 98 98100104105105105106107110113117121125127130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149149148148149148146146144138137137134132133132130132133132132131132131131129128128127127128128126126127131130128129128126125124122123123122124124127126128127128126128128128128127125124125125124122122120121121120120119117117118119121121120121120119119119120118117117118117117117118119119118116117118118118117117117118119118118119118118119119119119118119118120120119117117116116114114113113113113112112112111111111113112112111111111112112113112112112112112112112112111111110110109108109108106105107107108108108107109109108109108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164165165164166166166166166164162162162163164165164165165166166166167167167167167167167167167167167167166166167167166167166167166167167166166166166166165165164163163162162162162162161161160160160161161161161160158154150147146146147147146148149149148146146147146142141138134128123120120119118116113112113114113111109107106104101102104106108109109110109111108105103101 98 98 96 97 99104113119124128130130130128125126128127125123122119115114113109108109107106103102102102102102100100100102 98 97 98 96 92 94 97104105106106105105107112116120123126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150150150149148148147146145140137137133132131132132133131131132132134133133132130128127127128128127129133131130128127128125125125123123123123123125127127127127126125126127127127128127125127125123124123121121121121120120118118119120120121120121120119120120120118118119120118117117118119119119117119119118118118118119119119119119119119118119118118119118120119119119118117116117116114114113112111113113112112112112113112112111112112112113113113112113113113113113114113113112112111110109108108107108108106109108108108109109108108107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166166167167167167167167166165164164164164164164164164165166166166166166167167168168168167167167167167167167167167167167167167167167166166167166167166166165165164163163163163163163162161161160160161161161160159158155150147145145145146148149151150151150150150148147145144141135129126124123120118114112113114115115115116118115110107109110114118118116114109107106104104107111108113118122122124128130131131130128127128128127125122120118115112112110110110109107102102100 99 98 99 99 98 99100100 95 95 91 89 89 94102104105104105109114118119123128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149150150150148145143143142141139136134130129129131132133132133133134135134133131130129129128128128131131131129127127127128125125125123124124124125124126126128129127126127128126125126126126126124126125123123121121120121120119121120119118118118120120120119119119119119119120120120117120119119118118118120119120119120121122121121121121120119119118118119119119118119119117118116117116115114113113113112112112112112112112112111112112113113113113112112112111111111112112113114112112111110111111108109109109108108108109109110109109109109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165165166166166167167166166165166166165165165165165166166165165166166166166167167167168169169169168168168167166166166166166167166167167167167167167167167167167167166165164164164164163163163162161161160160160160160159157156153151149149147147147148150151152152151150149148148147145143139135132130127126121117115116117116119123126128127122118116117120122125124120119115113113120123121119121126129129128128128127128126126126126126125123121119117116115113113114114111106106105101 97 97 99 98 99 99 99 98 96 93 88 88 88 94101106107110113114118120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148149148149149149145143142140139136135134131132131131131133133132133133133134131130129129126126128129131131129127128127127126125125125125126127126126127127128128130130128129127127127127127126126125127126125124122121120120120120118118118117117118120120120120119118118118118120121120120119121119120121121122122121121121122124124123124124123122121121120119119119118119120119118118117116115114114114114113113112112113112112112114114113113113113113112111111110110109108111112112112112112110110111111110110111110110110110109109109108109110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164166166166165165165166165165164164165164164165167168168168168168168168168169168168169169169169169169169169168168167167166166166166166166167167167167167167167167167166165165164164164164163162161161160160159159158158158157155153153153151150149149149151151152152153152150150149147145143141140139137137137134131126123122122124126130132132129126125127127129130128129128124124128133133132130132132132132131131131131130129128127127127126125123121119119118117116116115113110109108106104103107103102 97 98 95 94 95 91 92 91 93 97106113117118119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150153153151150150149147142138138136134134133132133131132133133133133134136135132131129129128128128129130128128128128126127127127126126126127128126127128128130130131129126128128127128127127126126126126126126125123123121119119119119118117117117119119119119119118118117119120121121121121121121121121121121121122121121121122122125126125124124123121120121120119119119119119119118118118117117116115115114114114115115114114113114113113112113113112112112111109108108108108110110112112112113112111111112111109111111111110110109109110110107110113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166166164164164164164164163163163164164165167168169170170170170169170170170169169169169169169169170170169169168167167166166166166166167167166166166166166166166166166165165164165164164162162161160160159159158157157157156156155155155154153153151149150152152153153153151149149147146145144143143143141143141136132129128129130133134133133134134134135135135134132132130131132136136136136134134133133132132133132132132131131129129128127126125124123121119117116117117115114111112111109117109107106104106104103100 97 96 97 93 93101111118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150153153151150149148148146144141138136135134133133131130133133133134135136135134133130129129128128127127127127126126127127127127127127127128127127128128129129128129127128127128128127127127127126126125126126125124123122119119119119119118118119120119119119118119121122123123123122121121121122121121122122122121120122122124124125124125124123123121121121120119119119119120119119119117117118116116115116114114114114115114114114113112113113113112111111110109109108106107108109111112113113112111111110111112111111110110109108109109109110111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164165165163162162162161162163163163164166167168169169169170170170170170170170170170169169169169169169169169169168168168167167166167167167167167167166166166166165165165164164164164165165164163162161160159158158158157157157157156157157156155155155153152153153154154153153152151149149148146146144144144144142140137134133132133135136136136136136137137137137137136135133133134136137137137137136134134134133134134134134133132132132131130131128129127125122118118117118119118117115115116116117113108116104107108111106104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148150151150149149149149148146143141140137136133131131132133133133133135135133133135132131130130128129127128129130131131129128127127127127127126129126127127126127128128127128127127128127127126126124124127126125124123122120119119119119121120119120120120122122120123123124123124122123123123123122122123122121126122121121123127128127125124123122122122122121119119120118121120120118117116116115114115115115114114113113113113112112112112112111112111111110110109109108108109110111111113113112113112111111111111111109109109109110109109110111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164163160159159159161161162163163164166167169169169169169168168169169169169169169169169169169169169169169169168167167167167166167167166166166166166165165165164164164164164164164164164164163163162161160160159159158157157157156157157156156155155155154155155155154152151151151150149147146146145144144143140138136136135135134137137138138138137139140139138137136135134135137136137137137137136135135134134135135134133132131132133133132131131131130127122120121120120120120120119118118121119121114113100100104109109100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149151152152999999999999150146143141139139138135132133132132132132132133132132132133132133132131130130129128129130131131130130128127127127126128128128127127127127128127127127127127127126126126125123127126127126124123122120119118120120122122121121121121122122122123123122122122124123123123123124124122122124123120122125124125126126127124123122122123122121121120120122120120120117116116116116115114114114114114113113113111112112111111112111111111111111111110110110110111111111111112113112111112112111111112111111112113111111111110110110109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167166165165164161159158159159161162162163163164166167168168168169168168167167167167167166166167167167168168169169169169169168168168168167167167166166166165166165165164164163163163163163162163163163162162162162161161159159158158157157157156156156156156156156156156157156154151150151150149149147147146145144143141139138137137136136137138139139140140140142142141139138137136137138138137138137137136135135134134134134134133132132132132132132132131131129127124122122124124124123123121120121126127124126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154999999999999999999999131138138139136135134133134135133137132132133131131130131132131132132130131130130130132131130129127127127127127126127127127127128128127127127127128127126127127127127127126125122122121120119118118119119120121121121121121122121122123124124123124124124124121123124125124123123123121121124125124125126128121122122122122122121121120120120118118119117115115114114113113112113113112112113112112112111112112111111111111110110110111111111111112112111112111112111111111111111110111112111111113113113113111110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166167167167167166164162159158157160162162163163162164165166167167168167167167167166165165165164164164166167167167167168169169168168168168168168167167167166166165165164164164164163163163163163163163163163163163163162162162161159159158158158157157157156157156156157157157155155154152151151151150150149148148147146144144142141140140139140141141141141142142143143143143142141140140140139139139138137137136135134133132131130130131130131131132132133132129127126123121122123124124126127126123126127130129126126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144137139137136135135133134133133133133134132131129127128130130130131131132131130133130130129127127128128128126127127128129129129129128127127127127127126128127126126126124123123122122120120120119119119119120120121122121123123124126125125126125124125124124125125125124124122121125121122122123127128129126123122122122123123121120119119119118117117114114112112113112112112112112112112113113112112112112112112111110110110109109110110111110112111111111110110110110110110110111110111111113113112113113111110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165167167168168166165164163162160160162163163164164163163164164166166167167166167167167166165163162163163163164165166166165167168167167167167167167167167167166165165164164164164164164164164164164164164164164164165164163163162161160160159158158158158157157157157157157157157157156156155154152151150150150149149149149148146146145144143143143143144144144144144144145145146145144143143140138137137138137136136136134132131130127128128129128128128127128128128126124122121120122124126128130130130128132134135132131129128128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140136138139137137136135135135134133133134133131130127126128130131132130131131130130131131130128128129128129129129129129130130129130129129127127127127127126125125125125123123122122122122120119118118119119121121122121121121124124125126124125126126127126125123124122125124123122122121121121122123125128127125124122121123123123120119118117117117118118117115110111111112112112112112113113113113113112112112112111112111110110109110109110110110110110110110107108110110110110110110110111112112111112112111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166167167167167166164164164163162162164166166166166165165165165166167167167167167167167167167166164161160161161162163164165166166167166165165167168168167167166165165165165164164164164164164164164164164165165165165165165164163162162161160158158158158158158157157157157157157157157157156155155153151151151151151150150149149148147147146145144144145146146146146146146147147146146144142141138137135134134134134134135134133131130129128128127127126125124123122122121121122121121122126127129130132135135135135136134132130128129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141139139137140140140140138137135134135133132132133133133132130131131129130132132132132132133131130130130129129129130130130131131131131131130129128127128127127125125125124125125122122121121122121119119118119120121122121121120121121123123125125126126125127125123124124125124125125123124122122121122122122125126124126122121120120120119118117117117117117117117115113112112112112112113113114113112113113112112112112112111111110110109109109109110110111111111111108109110111111112111110111112113113111111111112111112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166167167167166166165163162162162163164165167169169168167166166166167167167167167168168168168167167165163161161161161161162163164164165165164165166167167167167166166165165164164164164164165165165165164165165165166165166165164164162162162160158158157157157157157157157157157157157157157156156155154153152152152153152151151150149148148147146145145146146147148147147147146146146146144141139138136135134134134135135135134134133133132132132132129128124121120119120120120122121121121124126127131137136136138136135134132130129127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140142140138142142141140137136134133133131131132133133133132131130131131131130131133134135133133132130129129128130130130130132133131130130131129128129128127126125125124125124122124123122121120120120119119120120121122121121122122122122121123124125126126126125123125125124124125123124124123121120120121120121124120122121120120119119118118118117118118118118117116115112113112112112113114114113113113113112112112113112111111111111110110110109110110110109110110110111110112112112113109109111110112111111111114114111112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166165166167167167166166166165164162161162163165167167169171171170169169168168168167167167167167168168166166166165164162162161160160160161162163164163163163164166166166165165164164164163163164164165165165166165165165165165165165164163163162162161160159157157157157157157157157157156157157157157156156155155155154154153153153153153152151150150149148147147147148148148148148146145145145145144141140139137136135134135134134134134134134134135135135135135134132126125122120120120121121122121123125127130136139140139138136135131127128129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139141144143142144144143142140136134133133132131131132133131129127125126128130131131132132133135134132133130129130130130131131131132132131129130130129130129128127126126125124123122123123123123122121122122122122121121121120120120123122122123123124124123124123125124125124125125125124123123123123122121121121120120120120120121120119118117116116117118118119119118118117116116113113113113113114113113114113112112112112112112112112112111110110111110111110109109111111111110108110108112112109110110110111112112110111111113111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166167166166167166166166165164163162160161164166168169169170171172172171170170168167168167167168167166166166165164163162161161161160159159160161162163163164165166165164163163163163163163162163164164164165166166165166166165166165165164163162161161159159158158157157157157157157157157157157157157157157156155155155154154154154153153153153152152151150149149148148149148147148147146145145144142141140139137136135134135135136136136136136136138139139139136137135133131128126123124123123122121122125130133136138140139138138136135135132131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138141143142144143142141139136134133134133132132132131127126121118121126129130131132131131132132133134131130130131131131132132132132131131130130130129129128127126126122122124123123121122124124123121122122122123122121122121122124123122121122125125125124123124124124124125123124122123122122120121120121121119119121121120120121118118117116117117118119119118117116116116115113114114114113114113113113113113113112112113113113113112111110111111110110110110109109110110111110111111108110110110110109110111111110110110116111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166167167167166166165165165164163162161162164166168170170170171172173173173172171169169168167167167167166165164162160158156154153155157157157159160162163164165165165163162162161161161161161161162162163164165166166166166166166166165164163162161160160159158158158158157157158157157157157157157157157157156156156156155154153153153153153153154153152151150149149149149149149148147147147146146145145144142140138136135134134136137138140140141140142142141141139138135131129129128126126127126127128129132135137139140139137137139137135136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138140140141142142141140138136135136135135134133133130124121122122124128129131132131131131133134133132132131132132133134134132132131130130130130129129129127127127127126125124124124123124124125124122122122122121121122121122119121121120120123125125123124125125124123124124125124124124122121120120119119120121121121121122121121119117117116116117117118118117117115113114114114114114114113112114113113113113112112112113113113113112112111111111111111111110110110112111111111111111110109110110110109111113112110110111112109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162163165165165165166166165165164163163164164164166167168169170171171172173174174174173172171170169168167167167166163160155148139136132135141148153153157161162163163163164163162159159158159159159159159159160163164165165165165166166166165165164163163162161160160159159158158158158158157157157158157157157157157157156156156155154153152152152152153153153152152151150150149149149149148148148148147146146146145144143140138136135135136138139141142144144144142142141139137133131131132132132132132131130131133135138140141140137137138139138138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135139140141140141141140139137135136136137135135133132128125125126128130131132131131132133134134134134135135135135134134134133132131131130130130129130129127130130128128127125124124124124124124120121122122122122122121122120120119121122123125121125120124124127122124124124123123124123122122122121121119117117121121121121121120119117117117117116117117117116116116116114114114114114113113113113113113112112112111112112112113113112111111110110111110111111110111111112112112112111111111110111113112113112112112113112113115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162164164164163163163164163164163163163164165166166167168168169170171172173173174174174174173171170168167167165166165164161149138128128129132132141148152156158158159161162162161159158158157159159159159159159161162164165165165165166165165165164164164163163162161161160159159158158157157158158157157157157157156156156155155155155153153152152152152152152153153153152152151151150150149148148148148148147146146146145145144141139137136137138138138140143144144143142141138136135135136136134133135133135137137137139141141139136136137139141999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143146145145143141141141140137136137137137136136133135131131130130130131130131132133134136136136136136136135135135135135134132130131130131130131131131132131130130129129127127127126125125124124123123123123123123122122121121120119122123124123124124124122124124121123123124124121122122122122121121121120119117118119119120119119119118118117117115115117116115113114115114114114114114114113113112112113111111112112111112112113113112111110110110110110110111110111111111112113112112111114112112115112112112111111113112112114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159160162164163162162161162162162162162163163164165165166166166167168169171172172173174174174173172170169167166165165165165164162151137128130128131134141146151154151152156158159159159158157157156157157156156157156157160162164165165165165165164164163163163162161161161160160159159158158157156157156156156155156155156155154153154154154153153153152152152152152153152153153153153152151150150149150149148148148147147146145146145143142139138138139138139140142144144142141140137135136137137138137136135135137141142142141140138135135136138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145144144143143142142142141137137137136136137136135134132131132131131132133133134135137136136138137136135135135135135134131130130130130130130130131131129129128126128127126124125125125124122121123123122122122123124124120121121118123124123124123123120122122121121122124125124123122122122121121121119119118116117120120120119119118118117114116116115115115115115115116116116115115114114114113113112111111112112112112113113113111111111111111110110111111111111111110112113112112112112112113113112111112112113112111112114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158160162163163161159159159160160160161161162162163164165164164165165167169170171172173173174173173172171169167166165163164164164160154148142135132133136139143147150147150154155156155156156156156156155155155155156155157161162164165165165165165164163162161161160160160159158158157157157157156154154154155155154154154154153152151151152153153153153152152153152152152152152151152151151150150150150149149149148148147147145145145144144143142140140141140140142144144143142142140139139139139139140140140138136142142142141140138135135137138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142142143143142141139136137138137137138137134134134134134134133133134135135136137137137136136135135135134135134132130130129129131131131131131130130128127128126126124125126126126124123122122122122122119121123123118123123124124124123122123121122121124121123122123123124123121121121120119118117116115117119120120118119118117116116117115116116116115115116115115115115115115114113113113112112112112111111112113113113112111110111111111111110110110110111111112110112111111111110112111111111111112112113113113112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157158159161163164162159157156157158158159160160160161162163163162161163165167169170171172172172172172172172171169167165165164164164163162162161157150141136130129133138142146151153154154153154153152152150150151151152152153156159160162163164165165165164163162161160159158157156156155154154155155155154153152153153152152152151151150150151151152152152152152152152152152152152153152152151151151151150150149148148149149148148146144143144143143143142142141141143145144144143143142141141140140140140140142142142143142141141140139137136137138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141141142142142141139137137138137137136136137136135132132133133135136137137137135137136135135135135134134134135134132131131129130132133131131129130128128128126126123124126126126126122122123122121122121123122122122123124124122123124123124124124126121120123119123122121119121121119119119118117117117118119120120120118118117117117117117116117117116116116115116115115116115115115114113112112111112111111111111112113111111111111111111111110110109110110111111111112111112112112113112111113112112112113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156159161162161160158156156156157158158159159160161161161161160161164166169170171171171171171171171170170170168167166166165165165165164163162160153141133125130132132138143148152151152151150149146145143141143146148148150153155158160161162164164164163163162162160158156156156156155154153153153153153152152151151151151151151150150150150150151151152152152152152152152152153153152152152151151151151150149148149149150150148145144144143143143143143142142143145145144144143143143142142141141142141140142143143143141141140139138137137137138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139141142141141141139138137137136136137137137137136136135136137137137135135136136136135134134133134133133134135134133132131132133132131130130130128128128128126127128127127127125125124124124124124124125122118120123123123121123123123123124124125119120118119120119121119119119119118118119118117117118118119120120119118117117118117116117117117117117117116115115116116115116115113112112113112112111111111112111112112112111111112111111111109109109111111112111112111113114115114113110113113112113113112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155157157161162161159157156156157158158159159159159159160160161161163164166168169170171171171172171171171170170170169168167167167167166165163163161159152137132148136132128138143144142140140142143144144143142141140141143145146147150156158160159161161162162161160160159158157155155155154153152151152152152151151151150150150150150150150150149149150151151151151151151151152152153152152152152151151151150150149150151150150150148146145145145144143143143143143145146145145144144142143142142141141141140140141141142142141140140139137137136137135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137139139140141141141137137136136137138138137136135135137137137136135136135135135136135135134132131132132133134133132132132133132133132131130130129127127126127127128127127127125125124124123123123122122122121122125122122121121121121122122123122125126119121120119117117117117118118118119118117118119119119119119119118118117118117117118118117118118117118116116117116115116114114113113113112112112112112112112111111111111111112110110111110109109110110110111111110111113113114114120110114113113112112113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151154157159161162161160158156156157159161161160159158158159159159161163165166166168170170171171172172171171170170169169169168167167166166164163162162161159153141130123128128127134136136138139141142141141143143145145145144143143144145147153156156154155157159159158158159158157155154153153152152151151151150150150150150150150150149149150150150149149149150151151151151151151151151152151152152152151151150150149149150150151151150149147146146145145144143143144145145146145144144143142143143143143142142140139140140140141140140139137136136135138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131136138140141141141139137138137138137137137136134135135137137137136136135135135135135135134134132132132134134133133132133130133134131127128127126126126126128127127127125124125125123122123123122121120120121122123122120118118120120121123119122122123122122120122120119117117118118119118118117118118120120119118118118118119118118118118118118118118118118117116116116116116114114113113113112113113112112112112113113112112110110110110111110109109110110110110109111112112113113118120120113113112114114114113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151154156159160161160160160158157157159162164164163161159159159159161163165167168168169170171172172172172172172171171170170168168167166166165163163162161161159156150146139132127126128129136141146148148147147146147149150150149148145145147150154155153152153157158158157157157157156154153151151151151151151150150149149149149149149149149149149149149148148148149150150150150150150150150150151152152151151151149149149149150151151151150149149148147146146145144144144145146145145144144144143143143143143142142142141140140140140140140138137136135135137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148150150146143999999999999999133134137139138140141141140139138137137137137137136133134135136137137136136135134134133135135135134133134133134134133132133133133132128126126129128127126124124124126126124124124126126125122120121120120121121119123122118118122119119119118119121121123123121121119121119121120117119118119118118119119119120120119120120120119118118117117118118118118117117118117115115116116116115115114113113111113113113113112111112112112111110111111111111111109109110110110110110111111111112113113112114113112113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152155156158158160160161160160160159158160162164166165164162161160160161163164166168169170171171172172172173172172172171171171170169169167167166164162162161160158159158157156154151148144140140144148151150151150151151150150147146145145143139139146150151150150154157157158156155154152151152151150150150151151150149148148148148148148148148148149149148148148148148148149150150150150150150150150150150151151151150149149149149150151151150150149149148147147147147146145145145146145145145144144143143143143143143143142141140139139140139139138137136134135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151149148147146145144143999999999137136136138138138137139140140139137136136137137137137137137137135136135135135134133135134135135135135134135134134134133133135133133132131130130129129129127128128126125126126125123125125125125123122123123120121124124121120119119120122122120122121121121121124120120118118121119116118119119119119119120119119119119119119120120119119118118118118118118117117117117116115116114115115115114114113112113113114113113111112111112111112112111111110111110109109109110110109110110109111111112112112112112112113114114113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148151156159160159159158159159160159159159160161163165166166166164162162163163164165166168169170171172172172172172172171171171171170169169168166165165164163163162159157157157156154155155154153152151151151151150151153152150145136132134135137142136136127144146149149150155158157154152149147147148149149150151152152151150149148148148147147147147148148147147147147147148148149149150149149149150149149149150150150150149149149149149150151150150150149148147147146146146145144145145145145144144144143143143144144144143143142140138137137137138138137137136133133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148145143144143143141140139138138136136138138139140140141141139137137137135135134134134134133133134134134134135135134134136137136134134135135135135134134133134132132131128127129129129129128128126127127126125124124124124124124123124122122122123122122121122120119122122120122120121119120124121120121119119118119121120120120119120119118119119118118119119120121121119118118118118118117117117116117117115114114114114114113113113114114113113113113112112112112112110110110111111110109109109109109110110110109111111111112112112112112113113113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145150154157159160158157156156156157158159159159161162163165166167166164164164164164164166167168169171171171171171172171171171171171170169168167166165165165164163163161158155155154151150151152154155154154154153152151153153148138126123129130130133132123131128132134144144144146155156152146141141146148148150151152152152152152151150148148147147147147147146146147147147147147148149149149149149149150149149149149149149149149149149150149149150150150150150149149148147147147146145145145144144144144143144144144145145145144143141140138137137137137136136136134132131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148146145143142141141142140140138138137136138140141141142140138137136135136136136136135132131130129130130129132133133132134134136134135133134133134134132133131130131130130128129129129129129126129129128128128127127127125123124125126125123123123122122121121122122121122122122121122122122120122122120121120120120121123121121121120120120118119119119119119120120121121121120119119118118118117117116117117116115116116115115114114114114114114114114112112112111111111111111112110112111110110109109109110110110111112111113113113113112113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140146152157159159158156154152152152153155156158159160160162164165166167166165165165164164164165167168169170170169170170170171171171171170169169167165165165165166165165163161156154152149145146147149151153154154154152150149147145135119107115113115112105103110112114119117128133138139141144145139132134141147149149148148147148149151152151150149147147148148148147148148149148148147148149149149149149150150149149149149150149149149150150150150150150150150150150150149149149149148147147146145145145145145144145144144144145144144142141140138137137136136135135135134133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148146143142142142141140139139138137137138139140141141140138135136136134134134134134133132130129129130130129131132132132132133134135134131133132131130130129129128130132130128129131131131130127126125127126129129127127127126125126124122124123122122120121121122122120121121121120121121122124124123122122122121121121122121121122120120120118119118118118119121120121121121120119119118118118118117116116116116117116115115115115114115115115114113113113112112112112111110111111111110111110110111111111110111111111112113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130142149154158159158156153149145144145146148150151153156159162164165166167167167166165164163164164166168168169169168168168169169170170170171170170169167166165166166167167165162158156154152148145146148149151153154155154152151147145138121108112126117114124124 99 98101106110112112113117122125126128130127130135140142142140142144145147149149150151149149148148148148148149149150149149148149149149149149150150150150150150150150150150150151151151151151151151151150150150150150149149149148147147147147146146146146145145144144144143142141140140139137136136136135135136133131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149148146144144145144141140139140139139139141141141141141139136136136134135134133132132132133131129130130130133134134133133131133134137133134135131131130129130129129130131129129129131131130129128130128128130129130129127126126125124123124124122121122122122121122123121120119120121122122122122122124124123123121121121123125123122121120120119119119119119119119120120121122120120119118118118118118117118117117116116116116116115114115116115115114113113113112111111112110111110110111111111110111111111111112111111111113114114113112113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135130131138148153154156156153149145141137136136137141144147152155159161163164166167167166165164163161163164166167167168168167167167167167168169169170169169169168168168167167167166164160157154152150146145147150151152153154155154153151147145136123113111123112115120124123123117113 97136104124125113116113116118121122126133133135138140141143144146146147149149149148147147148148149149149149149149150149149149150150150150150150150150150150151151151151151151151151151150150150150150150150149149149149148148147146146145145144145145146144143142141141140139137136136135136136134131130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149150148146145145144142140137138138139140140143142141140139137135135135134134135133132133133132132131131129131131132133134134135133136134132134135134132132131130129130130129127127129130129130129129129128130130130130129126127124123125124124123121122122121121121122121120121121121122123123123123123122122124123124122122123125123122122122121120121120119120120119119119120121121121120119119119119119118118118116116116114115115115115115116115115114114113112111111111112112111111110111111111111110110110112112111111111112112113113112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131128131140145148150149147146143140136132128127128130136140148153156159162163164166166165163162161161162164165166166167166167166166166167167167168169169168169169169169169168168167164162160157152148146146147149151153153153154153152152148143135125112113126124112116124122 94105103 97107105110109112119125114109114115122129131136140140142144144145146147148149148148147147148148147148148149149149149149149150150151151151150150150150151151151151151151151150149149149149149149149150150149149149149149149148148147147146146145145146145145144143141140139139137137136136136135132130129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150150146144144143140138137137137138138140142143141138136136136134134134134134135134133134134133131130130129130133133131130130131136135134134134133131130129132132130129128128127127128130130130129131129129130131131130128126125125125124123123124122120124124125120122121121125123123123124123123123122122122121122123121122124123124124123124124122121120120119119118119120121121121121121121120119120120120120118116115114114115115115116115115115115115115114112111112112112111111110111111111111111110110110111111111111111111112111112112112111112113112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128126125126130132135137137134133131128125122120119120121125133143148155160162162164164163162160160160161162163163163164165165166166165165165165165166166167168168168169169169168167166163157154152148145145146147150152153153153152150150151148140134124114107108103104103106107108105103103110105104115117111108105104106111121130138141142143143144145146147148149149148148148148147146146146147148148149149149149150150150150150150150150150151151151151151150150149147146146148148147148150150149149149149149149149148147146146146146145146145145143143143141139139139137136136136134132130129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150150149146142141138136136138137138138139140140139138136136136137135135134134132130131134134134133132133133132132130132130128127132134135136138143139135135132132132131129128129130129130131130135129130130130130131131130127127126125124123124124123123122122123124120122122123124122126124124121126124122124123124123123123123122122123123125124124124124122120120120120121121120119120120119119120119119119119119119117117116115116116116116116115115115115115115114113113111112112111111111110110110110110110110110110110111111111112112111111112112112112112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115118121123120118117119121119120121120117114112111108109110113118121124131142153155156159161160160158158158158159159159159160161162163163164164163163164164163164165166167168168168165162160160157152150149146144144146146148152153153151149148149149146138129123119115114116117120124124125121120118111105104104104103104106108113118127134138141141143144144144145145146147146148147147146146145145145146146146146147148149149149149149150150149150150150151151151150149149148147146147147147148148149150149149149149149149149149148147147147147147146146145144144142141139139138137136136136134131127127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148146141137133133135136136136137137138138138137135134136136135134134132131131134133132133135136136132132131131128132134999999999132133142135137136136139134133132131130127129131128137134130130131131132131131130129129129125124124122122121122121122121124122120122120122124123125124124124125124122126125125125123123122122123123123123124124124125123121120120121120121120120118120119120119118118118119118117117117116116115115114114114114115115115115115115114115112114113112111111111111110110110110110111110111110109111111111111111112112113112112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999107106107109111114114113113112112111113113113111110109999106107107109112114120123129142147147152155156156156156155154154155156156157158160161161162162162162161162162163164163163164164160157152150147144142143143142142143143144145148150151150149149150149144135128123123123124126129131134134134132130129123119117117116117120122124124127131132132135136137139140139141141143144145145144144144144144144144144144143144145146147147147148149150150149150150150150150150149148148147146146146147147148148149149149149148149148149148149149148148148148147146145145144142141140138138137137136137136134132128129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148147142137132133134135136136140139139139137134133134134135136135134131131131134134134133133133135133134133133132135134135999999131133136139135135135133132130130131131131138137138134133132132131131130129130130129130130130124125123123124122122123123123122121121122123123123123123123123123126125126125124124122123123124124125124123124124125129128123121122122120120120120119120120121119120119119119117116116117116116117115115114114114114113115114114115115113113114113112111110111110109110110110110110110110110110110111111111112112111112112111110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118112108105104105107108109110110110111111111999111109110111999999999999999109110110112113121133138140143147149151153152152151151152153153153154156157157157157158158158158160162163163162160159157154151147143139136134135137141143145145145145146147149150151151149144137130129131132132132135137139141140141141142141140135130126128129131133134137137135132130130132134135136137138140142144143143143143143143144144143143143143144145145146146146147148149149149149149150150149148148147147147146146148149149149149149149149149149148148148148148148148147147147146145145143141140140138139138138137137136134131129128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148146143138134134133135137138136136140139138135135133135137135135135135130130138137135136134133133132133131133133132133133133999999130133133137136136132132131137129133134136140134132133131129130131129127129130130130131130125125125126124126122122123122122120122122124122123122121125125126126126125125125122123123124124124124124124124125125127128125124122121120120120119119120121120119118119121119118117117117117116115117116115115114113113114114114114114113112112112111109109110110109109110110109112109109110111114111111111111110112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130123117112110108108108109113113110109999999999110109108110999999999999999999111111110111113119127132135135139141141141142145150150150151151150151150150151151152155157158159159160160160158156154154152148143139137135135137141145147148148146146145147148149150150149146142140140137141143139136136139140142143146147146146144141136133132134135137139138136134132132133135136136137138139139141142142143144144144143143143143143143143143143145146146146146148148149148148149149148147146146146147147148149149149149149149149149149149149148148148148148147148148147147146145143141139139139138139139138137136134131128127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149146139137136134136138140138137135135136138137137136136136136131136132137137134133134134130130132130129134136129131131134135999999999133134132131130129128128129129136137136134131132132130129132130130128129129130132130127127124125124120124125124122122122122123124122122121125124124124127125124124124123123124124125124124124123123124124126126125124121121121122120119119120120118118119119120121120119118117117116115115114115115113113112112114114113114114111111110110109109109109109108109109109111108114110110110111111111111111112112112112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137137134129121116118121119116116119118117115114113109107108999119999999999999999109110111112114116118124128129131131131133134140144146147148149147146146148148149150153155156157157158157154152150148148147145142140139140141142147151150149148147147147148148148149149149147144142143144146147143140141142142142142144145145144143141139137138139138139140140138137135135135136137137138139139139139140141143144144144143143143142142142142143143143144145145146147147147147148148148149148148147147148149149149149149149149149149149149148148148148149149148147148148147147145144143142141140139139138138138138137135132129127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146142138132132135138140140134136134137138135135135137139138133135135135137136133135134129129133135129129131137136136133134133128999999131129130131130128127129128128131134129128129131130131132130129128129129128130128127124124126127126124124125125123123125124124124124126125125123122123122122124125128123123126126124123123122123124126127124125125124122121121121120121120120119118120120119121118118118117118117115115117116114112111112112113112112111111111110110109108110109109109108109108108103107108110110111110110111111112112112112112111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133134141140140139135134134130125122123125125124119112106105107109110109999999999100101105106110112113114117123125124124123126127129132135139141144146146145146147148149150150150149149148148147145142142143143143142144144145148150153153151148148147147148148148149150150149148146143145146147146146145144144142141142142142141141141141139139139139139140139139139138138139138138138138139139140140140141141142142143143144143143143142143144143143143143144145145146146146146147148148148149148148149148149149149149149149149149149149149149148149149148148148148148148147146146143143142141141141140139139139139138136133130125127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140141138131130135137139139136134133132137139138139141141142134137136135137136136135134133128129134134131132130131134136133133121129130128129131128129129129128127999131130129129128129130130131130129129130130129128129129129130129125126125124125125126125125126126125125125126126123123122122122122125126125124126125124123123122123124123123124124125125123121121121121121121121119118118119120120119118118117117117116116117113112112111111113112111111111110110110108109109111108108109108109110110110112112110111111109109111111111111112112111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146149149147144140138133129131130124120113106105106106106104100 97 97 97 97 99106111114116117119122124124122120118119122125129132136139141142142144144143144143142141139138137139140139139141141140142144145146150153154154153151149147146146147148149149150149150150149147148149149149149150149147145143142142142142142142142141141140141141140140140140140141141141142141140140141141142142142143142143143144144144143143143143144144144145145144144144144144144145146147148148148148148149149149149149149149149149149149149149149149149148148148148148148148147147146144144143142142142141141140140139138136133128123123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129132137138133133134135137139139136135135135134137138138140141141134136134137137136135136135132135134134132131132132133133136134134134129131127129131129128128129127127126127127126127128130130130129132129129129128129129130131127128127127124125125126125125126125123125129131127127123124121123122123124126126125126126126126124126126124123122122124124125125123121121121121122120120121120119120121120119119116116116117116117115113112112111111111112111110110110110110109110111111109109109109111107109110112113112112111112111111112112112112111111112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999112999999999999999999999999999122115106104104101101100 97 97 97 97 98103113116116118118118119119119119117118119121123123124130136137138139137136134134133131131131130131132135137138141143145147150152154156156155156153150148147146146147148149150151150150151150149150150151151151150149146146144143142143143142142142142142141141141141141141141141141141141142142142142142142142142142142142143143143143143143143143144145146147147146146146146146145145145145146147148148147148149149149150150150149149149149149149149149149149149149148149149149148148147146145144143143143143142142141140139138137133128126124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148147147999999999999999999133134133132129134135136136137137135137135136136135139138138137139135134133133138138136136135135132132134132132131132134134133133136135135136133131129128129129128129128126126127127127127127129130129130128128128128128130129129130130127128126125125124129129125124130125126128131128125125124124121123125124123126126126125124128125125126126123122123124124124124124122122121121122121121121120119119120119118118116116116115114114113112112111111110108107107110111110110110110110111111111110109110111110111112113113114114113114112112114113113113113112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126120108104102 99 98102 98 97 96 97 99107114115115113111109109112114115117118119120120119118118122128128129128128127128128126126128129130132134137142147152159163164163161159155153153153151149147146146147148149151152151151151150149150150150151150150150148147146145144143143143143143143143142142141142142142142143143143142143142142143143143142142142142142142142143143144144145145147147148148148148148148148148147147146146147148148148149149149149150149149149149148148149150149149150149149149149149149149149149148148147146145145144143144144143141140139138136132129125123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149151152152150148145144142138134133133136136134134135136137136137140136136134134135136137138138135134134133135134138138138137136135132132134134131131130129130129136135132131132133133129128129130130129127125127129128127126128128127126129128128128127128129128128128127127126125128123125126127129126128130130130128128129123124125122122124124125125127129129125127128126125126123123124124123124125123123122122121121121121121120119121120120118116115115114113114113113112110111111112110110111111109110108110110110110110110109111111111111111112112115114114115113112113115115114114114114113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137133122114104 99 96 94 97 93 95 95 96101105110111110106 99 99 99103107111114115117117118115108109112113115119122123122120121123125126129132135139142148155161165169167163161159158148149151153152148148148147149150152153152151150150151150150152153152151149149148147145145144145145144144144144143143143142142142142142143144144144144144144143144143143143143143144144145146146147147148148148148147147148147148147148148148148148148148148149149149150150150150149149149149149149149150149149149149149150150149148148148148148147146146145145143145144143141139138137136134132126123125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150152153152151151150147144141137136134132134136134135135136135135134139138136136134134136137137135134133136136137136139137137136136137133131132132133131133131130132133130129132133131131129129129131130130129128127128127128127128127127128131128130130126127129128130128127127127127128128129127126125126126127132128127127128121125125125125125125126126128128129125126127125123123123124122123123124125125124122121122123123122122123123120121119117116115114114113113113113112112111111111111112113112110110110110108109112112110110111111111112112112112114114114115113112115115114114114115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141127116112110999999999118108100 99101103107109109105105999101103107111115117119120999999104108110112112116118121119119121125127128132136139140143149157163167171172167999999999999147146151152151150150149150151152154153152151151151151152153154153151149150150150148147146146146147147147146145145145145144143143143142142144144145145145144144145144144145146146147147147147147147147147147147146147147146146146146147148148148149149148149149149149149149149148148149149150149149150150150150150149150150149148148148148148147146146146145145144143142141140138138136135131129126128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151150150150148148147145144146141138137135133133133133132134133135135135135136135135134132134135135137136135133135137136134139139137136136136136130131137135133133131131130129131131135134131130130130130131131131130130129127128127127127126128129127127128128127128130131131131133131126127128127128128126127124124127129127128128127126126126125126125127127126126127127125125126126126125124124123123123123124124125123123123124123122122122121120120119116116115114113113113114113112111111111111111112113113111110110110110109110114111111112112111111112112112112113114114114115114114115115115114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146130131999999999999123117112106104104110117118118115114999999999999999999999999999999999999115115115116116118121123124126129131132136137138139142146154163166171172170999999999999999144147153154152152152152154155155154154153153152153154155155154152151151152152152150148147147149152153152151149148147146144143143143142143143145145145145146145146146147147147147147147148148147147147147146146146146144144145145146147149149149150151151150149149149149149149150150150150150150150150150150149149150149149149148149149148148147146147146145144144144143144141140139138134131130129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151153151151150149148147146145143141141138136134132132133132130128128135135136135134134136135135136137136134133133135134136135135138137137136137135137137138139135136136134134133131129127132132130129129131131130129127129130129129128130129129127128128128128127127128129129130131131134131134133128125125133130129130127126131131127127127127127126126126127127127127126126127127126127126126125126124123124124123125125125124124124122123122121121121120119118118119117116115114114114113113113112110110112113113113113113110109111112112113112112112113113113112112113114113114114114114114114115115115115114113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163152147150114999149133127122115108110111116123123117114115128999999999999999999999999999999999999999118120122125125127129130134137139141139138140144147154160165168170171168163999999999999148150153153153153154154154155155155155154154155155156156155155154154155155155153151150151152154155156154151150149148145144142142142142142143145145146146146146145145146145145145146146145145145145145145145144143143143144144144145146148149150150151150150149149149149150150151151150150150149150150150149150150150149149148148148148148148147146145145144144144145145143140143141137134132131135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150151151150150149147144143144144142139137133133133134134134133133135135134136135135135136134134134133134136131133136135140141136136134137137134135138138138142141136135132133130128129131131129129130130129130130129129131129130129129129128128126128127128128129129130130130130130131133135133131130125125129129129129130127129127128128128127127126126125125126127129128128127126126127126125125125125124124124123124124123124126124123123121121121120120119118117118119117114114114114113113111112112113112111112113113113109110111113113111112114114114114114115114114113112113115114113112113115115115115114113112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166162155151113999999999999999116114115120122126131130127122999999999999999999999999999999999999999999999999125128131133132135136139140142143142144149154159165168170169170169166165999999145148150153153153153152151151152153153152154155156157157156156157157157157158158156156156156158158159158156157155155152149145143142142142142142143143144145145144145144144143142142143142142142142143142143142143143143144144145145145145146148149150151151151150150150150151151152152151151149149149149150150150150150150149148148148148148148146146145145144143143143143143143143142141137136133135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149150149149149147144142141142141139138136135135135134136134128131131132131136136136135135136135134134134134136136137137136136137138135136136136137142142142142137138134135136134132130130130129131130131130130129128130129129128127128128128124125126129129127127128131129130130129130133129127127127128127130130130130131132128127128128127128124125126126126127127127128129129126126126125124124123125125126125125123123122123124125124124122121120119119120120119116119117115114114114113113112113113113111111111112114109109110114115113113114114114113115114114114112114112113113114114115114114114114114113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170167113113110999999999999133124124125127130138139999999148999999999999999999999999999999999999999999999999129133134135136138139139140142145147154159164170172172173171169169167167999999146149152154155155153151149149151153153154153154156156157157158158158158159160160159159159159159159159159159159159157155152146142143143142141142141141141141142142142142142142142141142142142142142142143143143143144145145144144145146146146147149150151151151151151151150151152152152152151150150150150150150149149149150150150149148148148147147146146146145144144144144144143143142140138136135136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149150150150149147144142141140141140141143140139136136135136135134131133133133134134134135136135135135134132132135137137137138137136136135134134136137138139140140142138136138134134131131130131130130130130130129130130129128129128126126127124124125126128129127127127129129127128130132132131128128127128131131131131130131132130128127133131129127128127126125126128126128129128127127127127125125123124125125124125125124123123122123122122122120120119119120120119117117119116113114114113113112112113112112112113112111111109113111111112115115113114114114114114114112114113113109110114114114114113113114113111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135134132137141149999999166163999999999999999999999999999999999999999999999999999138140140139140140140141142145153164170175176175173172173172170168173178999151149151152155156155152150151154154154154154154155156157158159159159159160160160159159159160160160160159160161159158156153147143144143142142142141140140141140140141141141140140142141141141142142143143143143145145145143143144145145146146146147149150151151151151151151151152152152152152151151151151151150149150150150149149149148148147147147147147147146145144145143144144143144142140138140137135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149150149148146144143140141141142142144141140139137137137137136135133135134135136133132135134134135133133133133135136138138139138137136136136136136136135138138138136136138135136135130131132129129129129129128128128129128128127129124124128124127127128128126127127127130126126127129129129125130130128132131132131130131130129128128127129133127128128127127125125126126126129129128127127126125125125125124124124125125125124123123123122121120119119119119120120119118117119117115113115114113113113113113113114113113112111111112110109111115114113113114116114113114113111114115108110112113114113114114113112112111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146140144141140143144146999999999140175999999999999999999999999999999999999999999999999999999999145145143142141141140145154165174177178177176175176175173170170178999999999151151152153154154153152154157157156155155155155156157159160160160161161161161160159160160160161161161160161161160157152149147145144144143142142142142141141141141141140141141140140141141142142143144144144144144145144144145145146146146147148149149150149149149150150151151152151152151151150150149149149149149148149148148148148148148146146146146145144144144144144145145142141140139139142137137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155150150148146145143142140140141143145142142141140138140137138137137137136136134134134132133132133135132133132132136138138139132129136136135135135136136136136137136135135135135135133133132133130130129129129127129129127126127126128127129125126126127130130129129127129130129128129127126125123121126129129131132131130129130128127127127129129127124127127127127127127128126127128127127127125124124124124125124125125125125123122121120120120119119118118118118119119120118118117117114115115115114113113114114113114111111110111112112111114113112114114115113114112112111110112113109111114113114113113114111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148141139136140144999999999999140142999999999999999999999999999999999999999999999999999999999999999999146144143142143149165177179178177175177177177178180178180999999999999161149151152151150153154155157158158158157157157156157159161161162161162161161160160159160161161161161161162161160159155153152149146145144143143143143142142142142142141140141140140141141142143144145145145144144145145146145145146146147148149150150150149148148148150150152152152151150150150149149148148148148148147147147149150149148146146146145144144143143144144146146144144143141142141138137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149147145145143141141140141142142142142142141141140141138138138138136135134134135134132133133133132134134136135136136137137137138135134134133134131131137134134136137134135135134134130130130130129129128127130129127129128127128128127129126125125127128131128126130129129125128128128128125121128129130132133128128124123129128125125126127123127128129128128127126129129129127128127126125125124124124124125124124125124122121120120119118118118119119118117117119119119118117117116115115115113113114114114113114112113112110114114113113114115116115114112112113109110109108108110110114111112113112112111110110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163159152157169179180180178177178999999183181182999999999999999999155150150150151152152154158158158159158158157158157159161161161161162162162161161161161161161162162162161158157157157155154149147145145143143143143143143144143143142141141140141141142143143144145146146144143144145145146146146147148149149150149149149148148148150151151151151150150150150149149149149148148147147148149150149148146146146145145144144143143144145145147147146147146145143140137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150147147146145144144143142143143142142143143142143141141139138140141139137136135134134134134135133133137136134135136136134135133133131130130126127127132132134133134132132132131132131131130129128131131129130129129129130128128128126127128128127128126125130130130132130128127126128128130130127128130132131128128127127122126127127127127127128129127126126125126125123126129132130129127125123122122122123124125125124124124121119119118118119118119120119116114116115117119118117116117118117116117116116114114115115118116113113114112113114114115115115113112112113111109107106107108108111113114114113113114111110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176175173180183184184999999999999999999999999999999999999999177155150149149152153153156158158159159159158159159160160161161162162162162162161160159158158159159158157156156155157156153150148146145144143142144143144144144144143142142141140140142143143144145147147145145146145146147148148148149149150150151150150148149149149149149149149150151150150149148148148147148148148148148148148147145145146145145144144143143144145146147148147149149148146142138138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146145144144144144144144143144145145144142141141140139139138139139140140136134134134134134137136135134132134134132130132134132130128129124128127129130132134132133134131131132130130132129128132134132129128129131129129130127126126128128127129127127131133131132128126125127129126124128127129133133130129129126124127125125128127127128127129130127128125126126125128132133134131126124121120121122124125124123124123122120119118118119119118116114113114115116117115117119119118117118118115118116117115113114114117115114115116114115115115115115115114113112112111110109108109108108109113112113114114113113112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187191190187999999999999999999999999999999999999158178154148149149151151151155155156158160160160160160159159160160161161161162161160158158155153153154154154154154154153153152150149147146145143143143144144144144144143143142141142142142142143143144146146146145144144145146146147150150150150150150149150149149148147147147147148149150150151149148147147146147147147147148148147145145145145145145144144144143144145147148149149149150148147143138137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142145144146144142145145145145145147147143141141142142141140140140139141141139137136136134134132135135135131130129133130131129129129129128130127126128129132134131131132131132135130131133132135133129129128128129129129129129130129128129129129129127129133133131133130127126125125127126127127126129130129129127126125127126125127126125128126126127127127125126125125130130132131132128124122121123125125124123121122122121120118118118119119114114114114116117116115115116117117115113118119117117118117117117116116115115115115115114115116117116116115113113112112111109109109111109109110113112111111113113113113112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189189183180999999999999999999999999999999999999999155173143151151150149150152153155156158159159159159159158159159159160160161160159157157155153153153153153153152151152152151150148147147146145144144144143144144144143142142142143142142142143142144146146146145145145144144145145147147148147148148148148147148148147147147147148148149150149148147146146146146146145145147146146145145145145145145145145143144143144146147149148149149148146141136134999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155155156155155999143143144143143145145146146146148147145141141143143141139138139139140140139138136137136134137137137135132130129130127128128122122123130128128129132131130131130132133132130133132130128132133129129132131131130129128128130128131128130130130130130132134131130133123128125124127127126126127127129128129130127127126129126130130125126126124123125125125123124123125129129131131131128123123124125124123122121121120120120120118118119121118114115116115115116114115114115114114118117116119122118116117118116116118117117116115115115116116117117115113112112112112111111112110110111112115112111112110111113112111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190188999999183182184183177177172999999999999999999999999999999999999152172150147147147147149151153156157157159159158158158159159158158158160160158157158157157155156156156154152151150149150150150149147146146145144144144144144144145144143142142144144143143142143144146145145145144144144146145145145145145145146146145146146147146147147146146147148148149149148147146146146145145146145145145145145145144144143143146145144143143143144145146146146147148146142135134999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150150151152151150152151149144143144143144143144145146146147146142141141141141139139139138139139139138138137138138137139138137134133129129129126129125124124123125128127125133131130130132134134134136128130130132132131129129131131131131131129128129132129128132130129131129130131131128129127128127127128130129129130133124122127128124125125125130128127126125125123125124125126119123123126128129130127124120119116116117121119120120118119118117116116117120119119116114114113113115115115113113115115115113115117119117118118115115117118118117116116116116116116116115113112111111109110111111112110111113114113110109112112115115111110109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179178177177176177173174172170999999999999999999999999999999999999999169150146141144148147149151153155157159161160159161159159159158159159160159159160160157158160159158157155152150150150149149149147146145146145145145147146146145145144143142143143143143142143145146146145145145145145146146145145145146146146146146145145145146146147146146146148147149149147147146145145144144145146144145144145144144143144144145145145143142142141142141142142145145143139133129999999999999999999999999999999999999999999999999999999999999999999999161159157999149148147148149149151150149148152149147143143144143143143145145145144144142141141140138137137139140139139137138138137138140139138137136136135132130126124121127128129126127127128131132131132131134136135135134130130131131129128128132132132131132133129130131131131131131131130130131129129128131128130128126126129130130130130126128126126129130132125125125127126126127127126127126128123124123126126127127126121115114114999999999999999115119118116114118117116116116116118116114113112111113114116114115114111112111113117117119116119116118116117117117117115117117117116116115114113112112109110110110111109111111113112110109109110110110112109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173174173173166167166166999999999999999999999999999999999999999999138140141143145146145146148153156159160161160160160160159159160158160160159161159159156157159159159157155152150149148148148147146146146145145146147148147146146143144142143143143143142142144146146145146145145145146145145145145145145146146144144144145145146148148148148149149150149149146146145147145145145145144143143144143143144143143143143142141140139139139139139139139139137135131128133999999999999999999999999999999999999999999999999999999999999999999999999149149148146145147147147146147147146147147146144142142143143143144144144143142140140140140141139137141141140138138139139138136136139135135134135133131129125128128128128128128127129127130131131130132132132133133135132130130133132126130132133131132130129129129130130131131132131132130129129128129129128131128126126127129130125129129126127127128130131126127127125126127126127130127126127124129124126127128126121119115110110107999999999999999110115113114118118117116116115115114112112111110111112114116115113112113111112115117122115118120117117118118115117116117116116116115114113113113111111109110110110107108110113114112111111111108109108108110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160159159160161162999999999999999999999999999999999999999999999134133125133138143141145146149153155157159158159158159160158161159157156158158157158157158159158160158156152150149148149147147147146146145145147147147147147145146146146146145145142142142144146147146145145145146146146145145146146147146146146145145145147146148148148148148148148148149148147145145145144144145143142142142142143144143143143139139139138137137136136137137137136135134124124127999999999999999999999999999999999999999999999999999999999999999999999146145147145144145144144143144142144144143142141140140139141142143143143143142141139140141138139140140141142141138139138138137137135136136136135137135132132131126129129129130127129129127129131131131132132132132131129133128132133132130130133130132129130130130131130129130129129129129128129129127127129128128126126124125123127128127124124128127125125126127126130129127125126126123124121126125130128125127127124123119117116113110110111111107104105107114115119120117115113114114113111112111110110112117116115113111114111111113111114118115119117117116116115116116115117116115115114113114113111111112111112117109112108111112109110110112109108107106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158157157158158160999999999999999999999999999999999999999999999131120123127136136138140142143147149153157157158158160160158156157156157157156157156158157158157157156154152150148148149148147147147146146146146146146146147147147147146145145145144143143143144145145146147146147147146145145146146147147147147147146146147148148148147145144145145147148146144143143142142143143143141141143142142142142141140138135135136135135135135136137136136135135131125125999999999999999999999999999999999999999999999999999999999999999999999139142144143144143142141140141140140140139138138138138138139141142143143142140140140141141140138138138137137135136139137137136135135134134136136137137134134132128126124131126127127127129130131130130131132131130130129132128127129133127129133131132128129130130128129127128128128129129130129129129128128128129127125125126127127128125124129130124123123124136130126125124117119123125124125127123123124125125127124123121120118118119119114110108107107108112115116115113112110110110112110110110108108111110114115115114116119111112112110115116114114112114113115115115115114115116114114113114113113112111113113116113112112112113113112113114113113108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159162160158156155999999999999999999999999999999999999999999999121118109112123128128135139142143146153157157157158159157156156156156157157156155156154155155154155152152152150146148147147147148147146147147147146146146146147147147146146146147147145145145143144145144145146144144143144144145145146146146147147146146146147146145145144143144144144144145144143141140139141143141140140141141141140140139139138135133134133133133133133135135137137137134131128130999999999999999999999999999999999999999999999999999999999999999999139137140141142143143142142141139138137137135134135135136138140142142143141140140140141141142139139137138136135136135135136135135133134133135137138138137136131129126124126128125129131130129130129129130131130129128128131125129126124128133132132132127129127128127127126127130129130129131128128130130129128127126125126127126129130126126128129125121125126126125125126124125125122125125124123123124124125126126128125123122121122122121120113110108109110110110111109110112111112112110107106106106107107108112113114113114116110111112111112112113112113115113113113114113113113114114114115114114113113115113109110115115113114115111109111113112109110108104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166161158154154154999999999999999999999999999999999999999999136115108110112115120125132137140142144149154154156156157158157156156156156157155154154150150151151152152150150150150146146148149148148148148147148148146146147147147148147146145145146146146147147146144145145144144143142142143143144145146145145145145146146145145143142142143143142143143143142141141140139140140140140140140139139137136138137136134135134133129129129130129131132134133132130130132129999999999999999999999999999999999999999999999999999999999999999141136137136138140143143142138136136135134132132131132134136140142143142141142143141141142142142140137137136135135133134135137136136134133136135134139140138134133130131132130131129130129130130130129131131131129129129128129129129128125130130129129126127126126127128128128131131130129126128129130130126128126127126127128129129128127127129132131130128126126129124125125123122123126125126126123123125125126124126127124122124124124123121118113109110108112111999110110111112112109108109107107108106105107108111112108104111112108111109111111111111114113114112113114113113113113113113113115115116114113111111110116116115116114115113110112112109107103 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163157152153151999999999999999999999999999999999999999999129119115109109114116119123129134138142144145151153155156157158157157156155154153152151152149150147150150151150151150150149149149149149148149148147148147147147146148148148146144144144144144146144147146144144144143143142143143143143143143146144145145145145145145144142141142141141141141142140139139137137138138137139138138138137136134133132132133132131130130131129127127127129130132130130129128129133999999999999999999999999999999999999999999999999999999999999999141139138137137138138139138136136136135133131131130130133134139141142141141142142141141141142142141138139137137134134133134135136135135135134133132137141139135134137135129130128130132132132129130129130127128130128130129129129129129130128130130130129128129128127126129128131132129129129125128129127127127126127126125127129128129130128128130132131130124124125124124123123123124124122124120123125125122124124122121121122124125127124122122118112111112111110107109111112111110109108110109109108108107104106107106105105105100100103105108107105105111107111112111110111112113113114114113112114116114112113113113114111113114114113110110108107108102 91 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158155153152999999999999999999999999999999999999999999122114112108111120113117123129134138142144146150152155155156158156156154154154152151152152149150150150151151151151151149150150150149149150148147147147148146147147148147146145144145144144144143144144146146147146145146145144145145144143143145144144145143144144145143141141141140139137136135136135135132134134136136135135135135132131127127128128129128128125127129127125123124124127127128128129132132128130999999999999999999999999999999999999999999999999999999999999136140134135136135134134135135134135135133131130130129131134139142142140141141141141141141142142141141140138137136135134134136135135132133134134134134136138136136135132130131130129130131129130129130130129129129128130130130129128128128129130130129128128129128128127127128129131129129130127129129126126126127127126128127128130129129127127128130128129128125124123122123124122120122122125125127127125126124123122121120124123125124124123122121117113113114111111113113112111110110110111112113111110111105104106106107106106105104102103101 99 99100106109107108108107108108109111109110107110110114112110114112115114113112113113111111108106 99 92 94 86 84 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163999999999999999999999999999999999999999999122114111113115116116121126127134137141144149156155156158160158157153154155154154152152152149149150150151151151150151152150150149150150150149148147147147146146147147146145144145145144142143141142145146147146146144144143145145144143143143144142143143142141142144144144141139140140137137137135135132131132132133133132132130128128125125124125126126125126126126127129126124122122126127128130128129129129129999999999999999999999999999999999999999999999999999999126128132133130130131131130131132131130131132131130128128128131135139141140140140140140140140142142141141141139137137135134133133135135134132132132130131132133133135139138134138130129130130128129132126131128128126129127131132129131128128127131133134129130129126127127127128127130130130128129128128129129126126128126126127126125128129128131132130130129130125125124123124120123124123120124123125124127125123122121123124124125125128127124122120118115114115115114112113112111111111111111111114112113114114109107107106107107108106103101100101 95 92 91 97106101104102101103 97 98 96104103101103107106108105109112110110111113113114111107105 98 91 88 85 84 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166165166999999999999999999999999999999999999999999999119115115115119121122129134134137136141141148154155155155156157156156153152153153151151150150149149148149150151151151150150150149149150149149149147146146146146146146146144145144144143143142141142143145142145145142140139143143143140140140143142142142144143142142143145145141138137134134132133134132131132131132131130128127126127127126125123124124125125126125126126125125123126127124127130127125127125123999999999999999999999999999999999999999999999999999999130130130130131130129130129128127127127127128127125126127127130134139141140139140140140140140141141140141140140137136133134133134136136134133132132132131132132133140138139136136132131130130127128131125127128128128131131132133132130129127128130131132132129132125124127126128131133127129129127127128129128130126127126127127125125129129123123132128130128125122123123121121120119123122119122122124124124125125126122121120123124125126123122122119119118117115114114114114114114113113114113115115114115116116114113109109108107107104103101102104 99 96 93 94 98101 99 95 99 99 99 92 91 95 93 94 92104107104103107103108109112110112113105102 96 91 88 85 84 83 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168171999999999999999999999999999999999999999999119117117117122127129134138139138136137138143152155152150150150155155156154154153152150150149148148149150150149150150150150150150149149149148148147146145145145145145144144143143145145144143144144141142142146145144141142143139137137136139142142141142141141140141140142142140138138135130133132132132129128129130129127128127127129128127124122123124124124124123124127125124122122118119126127126126127127132999999999999999999999999999999999999999999999999999137135134134133132129127126125124124124124124124124124124126126129135139140139139140140139139139139140141141140140137136134133132134136137136134133133132132131131133133135134135137135134131130130132130132129127128129129129127130129130128127127126127129128129127127130130126127129128129131131132127128127128127126126127125125127124128124125130133129126123123125122122119121121120119117122115121124124124124122123121118121124125124125124123122120119119119116115114114114115116116116115117116116117117117115115114113109107109108105102102102101 99 97 96 97 98101 99 96 99 98 95 92999 91 92 92 93 97 98 98 96103101 96103106103109111104 99 92 89999999 80 91 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172171172171999999999999999999999999999999999999999999999118118120126129132137139140140138138140147152153152146148154155155157155155153151148149146148148147149149148149149149147149149149149148147146145144144145145145145144144144143144145145145146145142141139143146140140141139138137139141141141141141140140140143143136137138138136137135129131131131129128128128129129129128127128127127127123123120121121122120120123126125126123122122121123121125122122116136999999999999999999999999999999999999999999999999129131130131129129128127124125124124123122122123123122123124124125130136139140139139139139140139140139140140140139138136136133134134135136137138138137136134134133132133132134134136135136135137136136135132130129128128126129128129128127129127127128128126127127126129134134130131132128129129129131131130128127128129128126125124125128126126125130129126126127125122123127126119121121120119123120123123125124124121120117118117119124124124124125123121119118119119117116116115115116116118117115115115117114117116115113114113108109109106102 98100102101100 99103104102 99 98 98100 97 96 92 99 92 92 91 91 90 96 97 88 88 93 98102107 95105110108103 99 92 90 93 95 99102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178176174172170170999999999999999999999999999999999999999999999123123127128132135138139140140138141147147153154148150153152155157157154154150148147147149148146146146145145144147148148147147149148148147146145145145145145145144144144145144145145145146144143143141143142141140139140139141142143142142142142138140141141143142141138138138133133132134134132132130128129128129128129127128126124125124124123123122122121121118122125125124121123123121121121123123117125999999999999999999999999999999999999999999999127125126127127127128126124124123119119121122122123124123123125124126130136138139139139139139139138138139139139137137136135135134135136137137137139139138137137136135134134132132132135134133132131129136137133133131130128127124124128129126128127126126127127125125126127129127129132127129128128129129130130129128128127127127126124125127129127129129127127124125125124125126119120121119121123126125124122123123123123122118120119116124126127125125123121121119119119118116115116115116117118119117117116117115115116113112112111111106104100 98 98100102101103104103103103103101 98 99 98 98 99 99 99 97 94 92 87 93 95 93 91 92 97 96 92 94100103107102102 98 97 98101102104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178175177177175172173171172999999999999999999999999999999999999999999135126124124128129134136136137139139142148149151151151152154154155156157156154152151150149149148145146146146147148148147148147148148148147147147146145145144145145145145146146145144146143143142143143144143142141140141140140143143143142142141140139140141140139139138139137139136131131132134133133133134135132132127129130130127125125124124123124123124122121120120120120120119121121120123121119123119121999999999999999999999999999999999999999999127128129128125126125123123122119117118117118119120121122124125125124128132137139140141141138140138138139140139138137137136134135136137138138138137137137137136135134135136135134134133133134135132131135136135135133132132132129126123128126129131128128126126127125125125125126127127127128127127128128129130130132129127128130125125124126126129129130130126127124127128128124121122124121121124124125123123121121121121120118120119121123128129128128127122124120120121122117117116116117117117118118118117115117118116114115111111110110109104100100100102104105106105103103102103101102101 99100103 99 99 98 98101 95 97 95 96 93 90 89 88 90 97 97 98101103100 97 95 96100100102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179178179178176174173172173175999999999999999999999999999999999999999120128124122126126125126128132137139142146148148150151151153153155156156156154153151150149150148147147148148149149148149148148148149149149148148148146146145145146146146148147145143143142142142144144145143142143143142141140142142142141140139138137139140141140133136140141139135133133136136134133134135133133131128126127127129127128122122122123122123122122119117118118120119118121125123126123122116118999999999999999999999999999999999999126126130132132130128126124122121119117117117117118119120121123124124124127132134136139138139140140140139139139139139137135136136135135136137138137136136135135135133133133133134134134133133131131132134134134134134137132134133136135134127127128131130130128124124127128128127125126127126128131131130127127127129129129128126127128132136131127127128128129131130129123128128125125122121123123123124125125125120123120119119118114118118116126126127128127127125124122120120121120121119119117116117117117117118118118116114115111112110110109111108103103106105106103106105102103102100100102100 99101100101101102101103103100 96 95 95 94 93 92102 95 97 94 97 93 94 92 93 94 97 97101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179180180179179177176175175174175175178999999999999999999999999999999999999999999122124125124127131132135139142144146147147149150150152152154155156154154153151152151149150151151149150149147147148147147149148147147148148148147147147147148146146147145143143141141142145144143143143142143143142142142142142141140139137134133137136133130138139135135134134134136136133135133132131133133130127126126126124123122119120122121119119117117115116117117118118120121122125124118117117999999999999999999999999999999127128124126128130131129128125120119118115116116115117119120121122123124125129133136138139139139139139138138138137137136136135135134136136136136137138136134134133132132131130131132132132133132131133132133133132132133134134134134134134133132130131131131130130127124125126127126126127126126125126126129133127127129128127128129127129129134137133131131128130132127125126128124129122126123124125124124125124128128128128128125122117117117116115123124127127128129126124124124121120119121120121120119117118117118117115118117115113110111112110110110109107107109107106106106105103103100100100100104102103102 98 99101105104100101 98104109105103100 96 97102 98 90 93 93 94 94 95 97 98101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180181181180181177178176176176177178180999999999999999999999999999999999999999149129124125127130134133134138140143143144146147147149149151152154155155154154153153153152153152150149149149147146149148148148147147147147149147148148148147146145143146145143143143145145145146143144144144143142143141141141142140139138136133134136130131137133138138139139135133136135136134129127129130131129128126125124123120117118119119119117114112119117116118122121118118120120122117114120115999999999999999999999999999127128127125124126128129127126122119119118116114115116118121121124126129131132135136136136137137137137138138137136135134134133134135136137137137137138137134131131132131130130128129131131133131131131128130132134132131133135132133129130132131132131130130129127126128124125124125125126126124125125125125126127128131132132128130128130131129132135129129126125130126127129128132126126123125125120121124118128126128129129128127127120120121121120123124130128127127128126125124125125124123123123121119120121120119118117117116113111111112112112109109108108107111111112109109108105104103102101 99100101102102101101100105103 99101105103103108109107105104101 99101100103101100 96 97100104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184184182182182180179176176177179180180182182183999999999999999999999999999999999999999137126125128130132134136137139140141143144145146148149149152152153154155155154155154153151151150150150151150149147149149151149149149149146148149149150150150148148148148147145143142147145142143143143141141140141139141142141140139135133134135136136138138139138140138139138138137134135133130128128127126123127125125124123119117116117115116112114111116117117117120119118120120120119118119117114111999999999999999999999124126125121120122122123124125124119115117118118118119122126127130131132132133133134135136135136136136137137137137136133133133133134135136136137137137137134131130130131130129129128129130131132130130128127129131132131131131131133133130131130131133132128125127127126124123123124124124125125125125124124125124127130130130129128128128131131130129129127125126127129132131133127128126127127128125121120123121128127126129122122123124124126126124124124132132129127127126123123124124124124123122122120119120119119117115114114113113111112112113111110108107108110113114112111111111109107105104105105102105102101101102106106106103100101100103107109107105109109107109105106 99 98104108105109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185186185185183181178176175175177178179182182182999999999999999999999999999999999999999999129129130131130134136138141142143144143143143146147149150151151153152152153152154152151151152150152152150149147148152152152150147148150150150150151153151149148149146147146146144144144141144144142143142141139140142142139139137136135136135137138139138139138139134138139138131132132128127130130126127127124129127123119117117117117115115115113113115118120120116119120120121122122121116113113110111999999999999120123123121119117114115117119119123121116113115119122124127129132133134134134134134135136136135135135135136136136136137136133133133134135136136137138138136134130129128129130129130130128126127127129128129130129127129129130132132131133129132132131129129130133125125125124123124124124125125126125125125124124125122126124131131131131130130130129129129129126125129129131132136133126127125128128126127123120120122125121119123121119119123118122122123122123131129128127127125123122123123123122121120120118117116116114113113115115113112110110111111110108110109110109111113113110111113113109108109108108107106105104104107107108106104102103101104106109109111112111107114107109104109114114110109106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187186186186184180177176175175176179180183184182183999999999999999999999999999999999999999127127131130128132139140143144142143144144144145147148149148149150151150151152153153153153154152151151149149149150151151152150147151151151152151149150150150148146147147148147145145143143143144144145143140140141142140138138139138137138138139138139139140140135134133133132132132133129132129130126128130129130125120118117116117117118116117117119117117115114115117121122123121120119114107107106107109999114117117118119116115113113114116117116119119113111115120124127130133135136137137136135136136137136136134134134135135136136135135135135135135135136137138136136132131131129129128128128129129127128128127127128129131130130130127129130131131130130132131130130128130129126125124125125125125125125125125125126124125125124128130128127129132130129129129129130129127126127131128130135134128126127124129129128127122120123123121119122122119121119117117121122115114124128129126124125124121122121121122121119118117115113113112112113113113111108108108110111110109109110112111111111111112112112114110110111113114112110106108107111114115110104103105112108106107113114115115119118121114120112117115116113109107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188186184182180179178175176177180182184184184999999999999999999999999999999999999999999125127131129129134141142143143142142144144144146145147148149149149150150151152152153153154154152152151150148148147148148149150150151151152155153151151149149148148146146148147144144142144144144143143144143143142141140139140138138139139138139137139138138134134134134133132134131133134127128130127127129129128125121120120119116117119118119120122119121119120114117121120120120118116113108105100102101 98103106107109109109109109110112113113115117118114112116121125130132134135136136136134135135136136136137136135135136135135135134134134135135135135136137136134132131130129129129128128127127128127127127126127127128128129128128128128129130130129129130130130130130129128128126126127127126126126126125124124124123126126127127127131128131133131132127132130130130128127131131132123126127126126127124124127129123125121121121119119120125120119118116118119120121120120123125126125124124124122120119118119117116115113112111111112112112112110108108109108110110110111110111111111112111112113112113112111111112113113115113113115116117116115114115115116115112116116120121121122122122122126116120120119118118118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188188185182181181181179178178180181183185187999999999999999999999999999999999999999999999125128126125131137139140141141142142143143143144143147148149149149149150151151152152152156154151150150149148147147148149149149149150153154153152149148148147147147146146146143147143143143144143142144144143142141140140140140140139139139139137137137135137137135132133133133135132131131130130131128128130131130127125123121120119117117118122122120119119120118118999115116116116112112109109108100 96 95 99 98 98 99 99101103106107109111109110114117118114111116121126129131133135135135135135135136136136136135135134134135134135136133134134134134135136136134133132130129129128128127127127127127127126129127128129128128128128127128128129130131130129129130130130131130128128127127126126126125125126126124123124124124124126127127124126129133130129131132129129129130128127130131131127121124128126128132131128128126124121120121122120122124123122120118122123119120121121124124124123122121125122120119115115114112111113112109111112111111112110109109110109111110111111111111112113112112112114113114113111113114111110113113115115119118117118118118117119118116117119122124124123124124125123122122122122122122121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188186183180179180180180180182181181185188189999999999999999999999999999999999999999999999999130125129133136136139140141142144144143143142144146146147148148149148149150151151150152153152150149149150150149149150150151152152152152151150149147146147147146145143145146147144143143143142143144144144143142141140140137137137137136135136137140139138136137133134135134135131130128129129127129127129128130127126123121119118119117119123125124123120120118119118113112113115113110999999999102101102102100101100101101103107109109109107109115118118116113117121126129130132133133133134134134134133133133133134133134134135134134134133134133133134133133132130130129129129129127127127127127127128130129130129131129127128126127128129129129130130129129130131131130128127127126125126126125126125124125124124124125126124125125121120125125127127129135131129129129129129131127129131133136132127129128128131124126127122122124122122122123125125124123122122119123123124123122124123122121121122121119118115113113111110110111113110111110111111111110110111111113111110111111111112114112114115116116117116116115115114113112113114114114116116116117118117119120117121121119121124124125125124124123122120122122122121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188186182178180181181181181182181184188190191999999999999999999999999999999999999999999999999128127129131134135140142147147146145145143143144144143144145145147147147146148150151152152153152151151149148149150151151153154152151149147146145146145145146144144146144145144143143144144143144144143144145143141140139138136138137136135134134137138139138136137134134136135133131130131130126125127127127127126128124122121121120120125123124125124121120117116116113112111999999107110999115110108108108105103103103104105105104106108109109113117118117117118122127130131134133133133133133132132132131131131131131134133134133132133133134134135134131131129129128128129129129128127127127128128129130130131130129130129128128129129130130130130130131130130130131129128128127127127126126125125126126125126125125125122123123125122127122123123127126128128127131131131129130128128129130130127125128128125126125121122123124123122122123121121123122124121124124125127125124123123122122123122121120120119117117116113111111112110109109110111111112110110110111111111110111112114115113115117119119119118116116116116116116115114117117116117116117116115116116117116118120117120120122123122121121122122122121122122122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185187187186180177180181181181182183185187189191193999999999999999999999999999999999999999999999999132131130129132139143145146147148148146144144143145145145142144145144145145147150151152152153155154150148148149151152153153152149149149147146147146146145145145145143143141141143145145146146144144144144144144143142139139139135136135136136135136137138137133135133133135133133135134128127127124125123123121124122123121121121122120119117122122122122120117116114113111999999999112115118120119118116112105107107106105107111112112112110112114118121121119122125128131133134132131130130128129130130130130130130130131133133132133133133133134134132132130129129128129129128128128128128128129130129130131130132131132131129129129128129130130130131131130130130130128128128127127127127126125124125126127126126124122122123125127128123123125127128128126127129130129134134127130125131129126130126136126127126124122121122123122122124125122122123122123119120120125127129128125123124123123121121120120119121120118115113111112111111110110111112112110110110111112112113113114114115115116117118119120119119116118117116116116115116117117117118115115115119117116114117119118119120122122122120121121122123123123122122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188186180179181181183184187188187188190192193999999999999999999999999999999999999999999999999138136135129130137142144141145149149147145145144145145146143146145145145146147147148150154155151150148147148149151151152150149147146145146146146147148146144144143144144142139141145146145145145142143142143144142139140141140134134135134134134136132134134132133133133135133133134131125126127124119118119120120125127122122121122121119120120118119118116112113113112111999999122120125129128126125120114109110110109111117117117116116117118115117122122122124127129132134132130130130130130130130130130130130131131131132134133133134133132133132132131129128128128128128127128128128129129130131129129130131131131132132131129130129130131130130130129129129128128128128127128126126128128127125127127128126126126124124126128126127123125126125125127127128129128126129129128130129132132128132130126126125126123122122122122124124122123121124125122124124124123126124123125125124123124122121122123122121121119119119116113113112113111112111112113112113112112114114115115115113115116118115118119121121121119118118118117119117116115117116117118118120119122121119120120120119121122122122122122122122123121124123123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188184180180180183185185190191191193196196196198999999999999999999999999999999999999999999999999135129124128128140141138143148148147147146144145145146146146147146146146146146149150152150148147147148149152151151152151149144143143144144145147145146145144144144144145144145145146146146146144145144142142140137137137137135138135135135133133133134133132132134135132132131131130124126123119117117113114120119121123123123123122121119117115111109102105110111999999999999124128132133130126121116113112113117118119121123122122124123121121120124123125124125129132133133130132132132132132131130131131130129129130132132132132133131131132132131130128128128127127127127127128129129130130130129130129131131131132132131130130131131130129128128128129128129129129129128128128127127126126126125125124124124124123122126126127125124125128122127127129128129129128127127125124127126125131130128125125125124124123123124124125123123122121121121123123124125125126124122122122121121121121121123123123123122121121120120117116114115115114114113112113113114114115115116115115114115116118119119122121120120118120119119119120119118117117119118119120121122122123119120122120121121120121123124123123124124123124123123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188189187183179179182185188191193194197197198198198999999999999999999999999999999999999999999999999134141125129133135135135140147148149148148148147146146147147148148146147146147148149146146146147148150151152151150151149147144144144143143145144146144145145145144146146145145145145145146145143145145143143141139136135135137137137133134134134134133132132132133132130131129129127125124121119116114113113117121120125124124121120120115110109106103999999999999999999999124128131132133129124120119119120121123123125126129129126125126122120121123124127125127129132135134134132132131134133133132131129129128129130131132132131132132132132132130129128127127127127128128127129129129130131130130129130130131131131132130131130129129128127127128127129128128129128130130127127126126127126126125126125125124124126125126126122124124127129126124128127131130129126127127126126125125124127124125127124125127124122123123127125124123123123127123125126124127128124126125123119119120122122121122123124124123121122122121121120119119117116115115115115116117115117116116117117117118117118119120119120118118119119119120120120118118118118119119119122120121121120121121122121123122122122122123123123124124125125125124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190189189186182180184187188192195196198199199199199999999999999999999999999999999999999999999999999999129129125129131134137141145146148148147148148148147147145146148146147147147147146144145146147150152152151150148148146144143143144143143142142143142142146145146145146146145142142144144143143142142141139137138136131131132133133133134134134135135131131130132131131131130125125126123119116116114114115117120123123121120120118114113108101100101102999999999128128129130132131131130124121121125128128127128127127126127128127128128125123123126129130129129129130133135134135135134133132133134133132129129131131132132132132132133134134131131130129129127127126128127127129128127128128129128128128130128128129128130131129128127126126125126125127127128128128129128126127126126125125124125125125125125127126126126125127127126126128128125129129126126127126127127126126124124126126125125127124126125124122123123125124125125125121126125125125124129128124127126126121121119120122122121122122123124122121121122122121121121120120120120120119120120118119120120119118118119119120120120120120118118119119122121119120119119120119119120124121122122122121121121121123123123123123123123123123124123124124124125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190189188187186188188189192195196197198198199199999999999999999999999999999999999999999999999999999140130133132131134136138142143144144145148149150147145144146146145145144146146144143145147148151155154152150148147146145142142143142142142144143141140139141142142144144143143143143141141140137137136136134136133132127130130130131132133133132133130129129127126130133129125122120118116116115117118119117121121122123119118119116111108104102104105999122129131131130130130130130129126124125127131131132132130132131131130130129130131129128128127127128128129130130132133134134132132130133135134132132131131132134133133132131133133133130129129129129129128129128129128129127127127128127128128129128129128128127128127128129128127125125126126125126128127128127128128127127125126126126126126126126124125126125126126126126126126129126126126125126126127126127128128127127126126127127128126127127126125124125124123124123124125125126125125125127127127125128123122120123121120121122122121121121123123123121122123123123123124123122121121120120120121120120120121121121121122123122121121122122123123123124123122122120121122122122122124123123123123122122123121121122123122124123123122123123124124124123124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188190190189188189190190194195195196197198199200999999999999999999999999999999999999999999999999999999126124126128130132133136140142145144146148148146144145144143144145145143143144144144146149154156155154152148146146144143145145143142140143144140138138140140140142142141140141140138139136134136132134133136132132129131127128128131131129129132127128130129128129129127123117116116118117117119120122121121121120118120118118117114110109105103105107120126127125125125126129129127126123128131131133135136134134133132130131130130130130131131129129127127126127128127127129128128128127129132134133132131129131132133134133131133133132130130130130129129128128128129128128126126127127128128127127127127127128128128128128129129129128124125125126125127127128127127126126126127127126127127126125126127126126126127127126127127126127124125124124125126127125129128128127128127127128126127125126129126126126125124124124124126125125126127127127128125126127127126122120121120121121122120121120121121122122123123122123122122122122123122122121121121120121122122122122122122123125124124123124123123124124125125124124122123123123122122122120124124122122121120119121120122123124123123122123124124124124124124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186185188190191193191190191191193194194197198198199201999999999999999999999999999999999999999999999999999999999128126128128131132135137141142143143146147146145144145145144144144144145144143147147150153156157156154151148146143146147146146144143145143141140137137138139140139139138143142138137132133133131132133134133132130130129127127128128124125125125129129129128128126124120116116116115116117120113120120119118117115113112112110104109104108105100100112120121121121121124127128127127126129131131134136135133132132131129128127127127125126128126127130130127127124127127127128126124126127129133134133132130132134134133133133133133132131131130130130129128128127126126127126126126126127127127128128128127128127128127128129130129128127129126126125126126127127126125123126128126127128127127127126127125125126126126126126126128126126125126125127128127127126127128127126125126126127125125127128125126126126125126125125126124126126126126126126125122127124122121121123123120119122121121121120122120121121121122123124124124123123123124124123123123123123123124124124124124125125126127127124125124124124125123123123123125123124123121123122123120121120121120120121120122123123123124123123123124124124125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186188190192194193191192193193194194198198199198200999999999999999999999999999999999999999999999999999999999135129137137133133134139143144143141144144145146146147147146147146145146148149149151150152155157157155153152149146148146149149150147145144142142138138140146144142139140140144144132133132133132130131135132133132131130126126128127127124124125124127127127129126120119117118117118118117117117121119114117115112113999108104101101105103105 99 99112114117119120122125125127128127126128131133136136133132131131131130129127128123124122122122123126128128129127128128130131130130127130132133134134134133134136134134135134134130131131131130129130130129128128126125125125126126126127127127127127126128129129128129129128128129128128127126127127127127127127126126126127127126126127127126126126126125127127127126126126126127126125126128127127126127126126126126128126124126128127126126125127123128126127126127126126126123126125126127127126125132132125125126126123125124121122120121121122121120120120120122124125124124123124124126125126125125123124124122124124124125126124126130129129127126126126124124124124123124125125127127125124123123123121121122122122122122123124124124125125125125125125126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186189190192194194193193193193195196198199199199199999999999999999999999999999999999999999999999999999999999999129131128127131135137141143143143143144147148147148147148149148146147147148150153156157157157159157158157152151149148150152153151149147144145142143146146147145141142142142139138138132128134134130131129130129129128124123126125125123122123124124126129129127123120118117114115116119120120118121115116113110112106105105101 97 94 97 97 99103106106112116118122121122125126126127128128132133133130129129129129129129124128123122123121121121124122123125126127128128126130131130129132132133133135132136135135134133135134131131131132131132130130131130127128128128126126127127127127127127128129131131131131131131130129130129130128125127127127127127126126126126126127126126126126126125125123126126126126127126125126127126126127126128127126128129127127127126129126125125124124126125124128128125125127125123127127127128127125127127124125138136125126129130129126125125120120120122123123122122121122121123123125125125125125125126125125126125124124124124123125126127126126127127125127127127127126124124124125125126126126127125123123124124124123123124123123123124124125126126125125125126125126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185187188190191193195196196196198199200200199199198999999999999999999999999999999999999999999999999999999999999127121123125123129136141144144143143144147147147148148149148147146147147150150153153155156156155156157155154155151150151152153152149150149150150147145141144141141142143142141138138136133134134132132129123118122122124121124125126125122122122124125127128128126123120118117117116117118118118117119117119118117117107112104999 99 98 99101101101103109113117120120121122123124122127132131129130128129129128127127127125126122123120120121121120120119119123125129131128126130131126126128134136138138136138136135134133133132131130131131131131131130130131130130130128128128128128128128129129132132133133132131131131130130130129129129128126127126127128125127126127126127127127127125126125126125126126126126126126127127126127127127127126125126126126125125124127127125125126125126126125126126126124125125125130128129129129127129128127125125127125130131129130125126125122123123122123122123123122122122123124124125124125125125125126126125125125125126127124126127127127128127126128125127128127126125126125127127127127128126124125125126126123123123123124124123124124125124125124124125126126126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185187186189191194196198200200199199199198200198999999999999999999999999999999999999999999999999999999999999999133127123124127128134138144145145144146146146147147148149151150149146147148150151152155155155158159160158156155154152153153153151151152151152152151147145143143143143141142141143140133135135133129129131126122122122124125124124124125124124123123126127127128127125125124116117117119120119120119121122122123117109103103999101100 93100100101101101102113113115121120121119122131131133128127127127128128127125125125126126121122123121121120120119118119120123128129130126130130129134138140139137136137137136137135134134134134133132131132131131132131131131131131130130130130130131132131131132133134133133132133131130130131131130130129129128127128127127126127127127126127127127125126126126126126126126126126126126125126126126127128127127127128126126128126127127126126127127122126126124125125125125126127130130130130130129128124129126126126126121127126128126126124124124124121121123123123123123123124124125125125125126125126126126126127126127127127127128127128129129128130129128128127127127126126126127128128127127127126126125125125124124124124124124124124125125126125125126127127126126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182185185185188193195197199200200199199199198199199999999999999999999999999999999999999999999999999999999999999999999124122126126126130136142144144145144146145146145148150150149148148148149152153152154155154156158158157156155155155155154154153153153152152153152149146144143143140141140140141137137138132130127125126130121124123123125126125126125125125125124123126127129129127129126123123120122118120120122122121116115110104101100999 97 98102104102105103103101112117117120120121124130132134130129128127128126127127126126126128127124120124122120123120120118119120121126129129127131130133136137136137137137137138136136135135134134134131131131131133132132132132132131132132132133131132134134133134134135135133133133132131131131132132130130129129127127127126127126129128127128126126126126125126126127127125126126126126126124124126126126127127127127127127126129128129129126130128129127127126127126126127126126126128129129131130128129126124123126125122125121126125125127126125123121124124123122124125125126125126125125125125125125126127127127129129130128129129129127128128128128128129128129128128127127127126126129130127126127126125124125125125125125125125125126126126126126126126127127127127126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185184184184186191192195197198198199199200199199199198999999999999999999999999999999999188187186188182182183187999999999127123126125125129135141142144144144146145145145149150149148151150151152151154155156155155156158160158154153153154156153154153152151150151151151151147144141140139139141142139137135134130128128126124123121122122123123124125125124125126126127127127128128128128128126120118114111109113107115115110110108104100 98 98 94 97 98102103104104104106115116119121120125126129130130129127129128127126126126128127127126128126126119124124123124121123122121123120127127126129130127133135133136136136137137136135135133134134135134133132134134133134133132133132132131132132132132133132133133135134134135134134134133134133132132133132132132132131129128127128127129130129129127126126126126127127127127127127125125126126125125126126127128126126126128126125127125130130130127126124128132128126127129127126126128129129131129130128127124125126124125120125122120124126126126125126126125124123123124125126126127126126125127127126126128128128130128129130128129129130128128128128127127129129128128128128126126126126127127127125128124126125124125126126127126126126126126127127127128128128127128127126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181183185189192193195195195197196195197199199198198999999999999999999999999999183184184183184186186186187188184182999999130130127127127132139142142143144145146146148149148150151151151152153153154156157158158158160161158155154153154154154152153154153152153150150150149144141140140140143144142139137136134131130128123121121118122121124125120118114119122126128128127128127129129125118115113109107106109108107104 97100 97 98 96999 99100100 98102105106112112113119119121124123126129129129127128127129126126125127128128128125124122126124126127126123128128125124122122122125128129132129130135135134137139140137138135134134136137135134132132133133132132133133134135134133133133134134134134134134133133135135134134133134134135134134133133133133134134130131130127129129130129129130129128125126127126127129128128127127127127128128126127128127127127128127128128127127127127128130128126126125130130130131130128128126127128129129130131130126127125131130129126131125125125125126127126127127128125125124124126126127126126126125126126126126126127127129129128129128128128127127129128128127129128127126127128127127126126128127126126129127126126127127127127127127126126127128128129128129129129129128128127128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181183186189190193194196195195195195194196198197197198999999999999999999999999182182183184184185184183181182183185181181157138134128131129131137143144146148148147149152151150152152154153155156155156158158159159159160162160156154155154156155154154153152151151151151150150149145143143144145144143141139136134132129129122117116114119123126120120120119114118123127127128128125125127121116114112112110108103102 93 99 98 83 91 93 95 97 95101102103103103108113118118121122126127127131131130128128127125125125125126128128129126126123123122121123123124123119121127122122123123126127126125126130136135134134136138138138137136137135138137136129130134137136136135135135135135135134134134134133133133134133135134135134134135133134136136135134134134133134132131130128128128127126127128129128127126125125128128127129129129127127128128129129128128127127128128127127127128129130129128128132125128127127128130129128129128128127128129131131128125127132131125125125133126126127128126125126127127128128128125125125126126126127127125125126125125125126127127127128130129128128128127127129131129128128128128126128129129129128127128127129130130128127126127127127126126127128128128128128129128128128128128129128127128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189190191192194195194194194191192192193194194195999999999999999999999999999999183185187186185184183182182183183183183175161133129129131131136142144145146148148148152153153153154155157158159158158157158158159159160164163160157155156155153151154155155155151151152152152148148147147148146145145142136134133132130135128123117119122125127124119118117114121124128127126125124123125124120116115113110111109101 95 98 87 88 91 90 96101103107106102104105110116120123123123125129130130128127126123124123123126125127127123122122129124125125124118125121119118117120121120125123124127128131132133136134135135136139136136136135136129131136134130130133137137135135134135137135135135134133132133133134134136135134134134134135134134135135136135135134134133133133132132129129128129129128127128127127126127129128128130128128128130127129130129129128128126126125127128128127129128129129128128129127126133136134129128138136139131128128129130131130130130129130127130128126126127126124123124125127126126125123124125125126126126126125125124125126126127127127126127129129128128127126126126127128129128129128127128128129128127125128129130129130128129127127127127127127127129128128128128128127128129127129129129128127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187189190191194194194192190190191190191190194192999999999999999999999999999999180184188188186185185185184184184183184183180177151999132132133136139141144146148150152153153154155157158160161161160159158159159159160162162163164162155155154154156156157157156154152152151156150149148149149149149148144139136133136142138137130129129133128125128122118119122125126127127127126124123125125123120119116112108104100 91 90 88999 90 91 90 97 99105102101106105108114119124124127125124125126125126126125121122122125126125125126125127126125125125124123124123124122121123122120127123123125127134135133133134135137139138138138138138138138138138138138135135136140134135135135135136137135133133133132133133134134134134135134133135134134135135135134133132132131131133133132132131126129130130130128129130128127129128131130130128131131128128129128130129127129127126126125129129130131130130129131128128127130133129129128128136137137135131130130129129130131133131128129129128126125125125124124124124124124123123124126127126126127127126126125126126126126127128127128131129128128128127127126127125129129129129128128127129130127129129129130127129128127127127127127128128128129129130128128128128129128129129129128130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184186188190192193193192191191190192191191191194193999999999999999999999999999999183186188187185185186186185184183183184181180173149132135133135138140144145147150152152154156156157158159160161162160160158160161161160164163164165162161159158156157159161161160158154153153152151152153153151151151151148144140138141141140138134135131130132128126126124122121123125126125124124124124124126124122119116115114108101 92 88 92 90 94 94 96 97 99 97 95 96 99101107117122124126124125123119123125128128125124120122121124122123128124125129130129125125122123122120120121121122124126128127128131135135134136134135139138140140140136135137137136136135136137136137137137136138136135135134135135138138133133134134133134135135135135135134133134134133132132132131131131131131132130131130129127128130129131130127127130130131132131130131129128128131129130130131130131129127124127128129128127127128128127127130133132135132129126128128130132132135132130132131131133134129129129128127127127126124125124123124125124124123123126127127127127127128126126126126128129128129131131131129128128127128127126126129128128128125127127127127128127129127127126127128127128128128128128128128129129128128129129129129129129128128129130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185185189191194190190189188190191190191190191192194999999999999999999999999999180185188186185184184185184184182181182183181175158150138132135137139141145148151153152155158157159160162162162162163159159158162162163165166164165164163159160160160160162163164164163160157156155154153154155154157156156157156151153149149142139135129129130132131134127128125126126127127126126127127125121122117115115115115113109102 94 96 95 92 97101 93 90 88 89 92 99 99105110116125123128127128126124131132126125126122124124125129129122124123126128129131129130129125124124129131130129129129128128129129133131135137135137140141138139141141135135138137137131134137137137135136142142134135136136137138136135134135135134134135136135135136135134133133132131131131130130130130129130128131131131131129128128130129130130129129130130130132131131133130130130129129131130130130130128128129129129129129128127128128129130132132134137129128128129132135135136139143135131131130132129128129128128127127127125124124123125124125123124125125126127127128129128128128129127127128130131132130130129128128128127126127128129128128128127128127129128127127128127127127128128127127128128129128129129130128128128129129129128127128128129129129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186186188190190190189188188191191190190189192192197198999999999999999999999999183186186186186185185187185184184183179180178171163148143137133138139141145150152153155157158159161161163166167166164163162162162162165166167166164164165162161161163164166166166165166165165164163159158158159159159159159159158157153153147142132126126124121122128132132131129128128128125124125125123123121116114112111112112112104 98 93 93101 99 95 94 90 87 82 83 86 96100 99108113121125127123122122121124128128126126127122124125120120120121122123124125126132131131133133134143131127130131132133135131131130131133136129137138139142141141136136138138138138137137138138138138136141143138138136136135137135136136133135136135135134135136135134134134134132132131130132128133129129130129131131130131131129129129129130130129128131129130130131132130130130128128129129129131130130128131130130130130128126125131128129129128130127127129127129131130133134134136138134132131130130129127129128130130128127126126126125125124125123125125124125126127128128128128127127128127130131131132132131128129128128127127128128129127127126125127127128127127129127128128129129128127128128128128128129129128128129129129129129128127128128129129129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186186187189189190189187188190189191192192192192199196195999999999999999999176181184187187187187186187187187186182179180178172163151142139137138141143147150153154156158160163164166166167167167166165164164163164165166168166166169169167165164164166166167168168168167168168168164160158158159161161161159158155151146139137131127122119116111115115124130128128125123124123123122120122120117113109109106106103 96 92 88 93 92 95 92 84 87 83 84 79 80107104105109112120122125121124124116120122126125125122128125124121125124121122125124126125127135139141140144131132129132132133132135135133132132138137137138139138146128140139138139138143144139138139139135140142140140135136135135134134135135135134135136138137134134135133134133134133132132131131131128129130130131128130129129129130130130129129130129129130133131131130132131129132128128132130129130128130130132129128129131131131128129128128129129128130128128126129129131131130131135134136138135129130129129130132130130129128125125125125125125126124124126125125125126127127129128128128129128129130131132133133131129127127127127126126127129128128128126127127127128127127126127127127128129128129129129129130130129129129129130129128128127127128129128129129129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185185186188191190187187188191192196198196195193194196196193999999999999999999181186189189187188188187186187186183178178179177173164151144142139140143147148150152154157161164166167169170169168168166165165165164165166169169169169170170167166165166166168169168169170169167166165163161157155157159160159157154151146141134129126122119113114110109110108120128129128125121123121123122121122118113111107104102 97 93 93 92 96 92 89 89 87 81 78 87 81 82 91102102112117121125124129128125125123124123126124126126124125128124122122123124130130128129131127133139132137143135134133134133134132139136135135137138139140139142138139137138147142143140140136135139140141140140134136139139135137135136134134133133135137136134135135133133134134134134132132130130130130130131131131126130130130129129131128130130129130127130130129130130131130130130129130129130131129130129130131129129129130131129130129129128129129130130130130127128129133132131134134135139136136133133134133131131130130128127125125126125126127127125125125125125126127128128128129128128129129131131131132132131129128127129130130128128128127128130129127128129128128127128128128128128129128128129129129129131130129130131130130129128127128128128129128130130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190190191191189190190191190190190191194196199196196193192192189192194999999999999180186190191191191189188187185186184182177176176175172163153148145147144145148150150154156159162164167169170170169167167166167165165166165165167169168168168169169170170170168169170173171168163165162160160161160156155157160159157152148145140133131128129127113112111108108105105115120128128128131131129127123121117108109107101 96 96 95 94 95 93 91 89 89 87 80 83 85 90 88 94106109121125127126129128127124122123126124125126127127126127127125126125126128129130130133132129133133139133134131134136135135136134139134137137136138138140138139142141139137141138141149147143135138140142142138137136135135136136135137137136139136133136133132134137137135136134134135136135134131131131130131132132131132131130132131132132130129130130129129129130131131131132130131131130131131131130131131130129129130129129129130130130130134130130130132129131126132131136134130132128136139136138135137135137134135133131129130129126126127126126128128125126127126126127129128129128128128129130130132133133130130132129129135130130131130129131130129127129129129127128128130129128128128128129129130130130130131131130129130129129129127128128129128129130130130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189192193193193193192191191191192194193193195198198196193192188191189193191999999999999186189191193192191190189188186185184181177174171174170164160155152151150150152151153154157161163167169170171171169168168167167166165165165165166168169169170170171171171171171172172171164161161156153153152157159159157155157157154149144141135131128125129132128113105117117106106105116129129131132131128127120114112108103102 99 99 95 96 95 95 96 94 94 94 89 85 91 92 92 97106112123125125126129131127129126131126128128128128129127126127127130128126129130130132132131133130133133134136134133134134135136134136133135141139138139143142142143143141142141141136138147141143143140140140142139139140140135134135134136137138139132134135135134136137137136137135135135137136134131131132131132132132131132132131131132132131131130130133132129130131130131132132132131131131131130130130131132130128128129131131130130131131131129130129131132132131132133129135132133133133133134136140139137135137136135135133130129130128127126125125128128129127127128128128129129129130129129129130130131131131129131129129129133132131130131130131130129129131130129128127128130129128128128128129131129131130130130131130130129128129130132132130131131132131130131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190193195195197196196195194193195195195196196196198198193193189190194194195195999999999999191194194195194191190189187187185183180179177176174170168167163159156153153152154156157161164165170172172174172170169169168166166166166166166166169169168171172173172171171174176173166163158155148148149149150158159157159157158153142142139135130121120123125110116102 99109112117105113123127126131126123118115106103104 97 98 97 97106101101100 99100 99 98 91 97 95 95 98102117122126129129127131131132129129131129126129128128127126126127129131132130128130135137135135133133135136137136135136137138139139137139144139140137138138141139140144145145141138142139138149149150150147147139139139138141139144142136134136135136135138135135134139140138135135137135134135135134134133132132133132133133132133133131132132131133133131131131131129130130130132132132133131131131131131130130134130131129129129129129129129124130129128129128129131132130131130128128132132134134136136136138135135135137135136137133132130130127127127128127127128128127128129129130129129129129129129130130130131131131131132131131132135129133132132131131131131131130130128129128128129128129129130129130130129128130131131130129129130130131130133133129132133131132131132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195195197198198199199198197197196196197197196197199199196199199198193194192196196999999999999192196196196195192190190187184182182182181180179177174173171169165163162161158159159160162167168171174174174174172171169169168165165166168171171171169168171173175174171172176171173169163160149148147145144147153156156155158160147137134135139140130121114113106113105105107113114119114114120119122122118114110 99102100102 94102 99109107109107108105106105 99102100103111112121125129131135129132134132125128126127129129128127127125126128129129129131134134137137136132135138136136137139139138138138139142140141137141140139138137138139140139143146139145145139138142140141141141144146143138137142143141143149132135135136134137135138138140142139140138139137136136137136135135134134134133133133132131132133132133134134134133133134133133133132134132133133133132132132131131131128128131132130130130130128128126125125125126129130130130131130130131132131132131133135133133135136134135136138135138136133132130130128129129128127128129129128128128129129128130129129130129130130131130131132132132133133134135134133133133132133133130130130130130128128130129129130129130131132129130130131130130130129128128130132134131131132133132132132132132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999197197197198199199198199200199197198197196198196196198199200201201201203201197199200999999999999999195196196196194193189191188185185184183182181181178177178176173171169168166163163161161163167170172175176176177176174172169167172169168171171170170173174174175174175175174174175175164166157152147146144142146151153155158159156148138127127137140136125114111107112111118109117114115112113118119115103106105103 97 94 93 97 97 99107109117116114115110113107112114114119119121125128130134134135136135133127133130126130128127128127128129131131130132131132133134137135136141139140136136139139142141140142140144141140141139139138138139139138137137145139144145147143145144143141140144143141143138140145144139140137139136136137139140140140139140142142143142142139138138138137136136135136135134133133132133133134135134134135134133134134134133132133132133133132133132132133132131130130130134132129132131132131131125128126130129126127129130131131131133134136134131133133132134136136136136135135135138134133131131129131128128127129129131129127128129130129130129129129129130131132130131132134133135134136136136135135135134134133130130130131130130130130129130130130130131131130131132132132131130130130129131132131133134134133132133131132131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196197199200200199199198198197197197198199199197198199201201202201203205204203202200999999999999999193196196192193193191191188184186185183183182182180180180180179177177174172169167166164164166166172174176176177177176174173173173173173173173174175174173174175176176175174176177176175170161155153151150150151152157160158161160152142137131132135136133127109116111108107117116108113112114119114111112105101 97 96 98 93101105111115113116117117117114120116118116123124123124128131131134137141138142138139138139127127133132133130130133133132135134134136137137135143138140139141139139142139141140139144136139140137139140140141138139139138138133132139142134137142145143144143144145141141139135138143141142143137138141138141142143144144139142143144145144141144143143139139138137136136136134134133133133133134134134135136135135134134134133134132131131131133129131131132132134132131131134131128132132133132128132132130131126129127129128129129132132133132131129131131134134136138138137138137138139139138136134132135134129129128128130130129128128128130130130129129129130131131130133134135137138137137137136136136135137135133133130131132131131130131130129130130131130129129130132132131131131129130132132132133132135135134133133133133133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194197197199199199199199197198198198198199198197198198199201202204203204202205202201999999999999999999191192193193193193192191187185187186185184184184184184185185184183183181179176173171169168169168172172175176176176175177177178177178176178177178178175174174176177177176177178178174172168164158156154153153151153158155153147136134147140134134134138138133125116119114105110115113118114115117113109106104 97 95 94 95 94109108114120125128127128125124124127127127131133132134137137136136138139141141133138137136138137137147137136135135134134135136137135137136136140139142141143141133144143139140137137136138137139141140143141141141141138136136139135143136138140141141146145143145139142140138140144143144143141140140137137139140137143143143143141144145143146140141143146143141140138137136134133133133134134134135135135135135134134135135134135134133132131131131130130132134133132132132131134134134132132131131132131131130129130129130130129131133130130129128131131133134136137136138139140140140139139138137137136134133132130128128129129129127128130130129129130130129131133135134134135136140139138137138138136136137136134132132132131130131130129130130130131131130130130130131131131130131132132133133131132133134135133133133133134130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193195198198198198199198197197198199199197198199199199201200203202204203204204206203205999999999999999999999189191192193193189188186186187187186186187187187188187188187186187185185182178175172171172173173175177177175176175178176178179181179179177179179178176176178178180180180178180177177170167162161160160159157157152147144142140146143142140140138140143140130121117111104106107116120119118100125109100 94 91 97 93 96104111113126130131132132132132128128132134137139142140140140143140136137142141146142141139139143132141132131133131137140140138134135135136136135137137140141142139139147147143142138138137138137136138138142142141138138138139141142143140136142142141144143143147140142145143146144142142144144146146148141139141144142145147152147148152151145144148147138147148149141141139137136136132132133135136134136136135135134135134133132132134133132132132132129129129131131132133131132134135135134133134134133134134130127128129129130129129130130130131130131132134134135137137140140140141140140141140141137137135134133132131131131129129128129130129129129129129129131132135134135135138139139141140138139138137137136134132133132130132132131130129129129130131130131131131131131131132131133133132133133133134135136135135134135133131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195197198198199197198199198200200201201199199202202201202202203203204204205207207206205999999999999999999999999191193195194191190186187189190189191191190190190191190190189190189188187185182179177177178178180181181182182181180181181181180179182181179179179181177177178179180178178181176173171169167166167167164164160153150144139138138136137137139142143143141137127118112108106106114114120104 95 98 93 92 96 87 92102 99109114123130133134134133133135137134136137141144147145148153151149146147149146145145145146149144145145133131132134137140140141140142139136133134139137144139142142143142146143140143141142143139136136138138137138139140140143143143142145143145137150147144141141145146140143145145145145146147147145146145145150151146146149150151151152153148146145148147147148148146143141139138138138136134134136136137137136137137136136135136135132132132133132133131130132131131131132132132133134134134134133134134135133130128127129128129131129130131129130129130132132132133134138138138140140141141142142141141139136136134133131132132132132131131130128129129128130130130133136134136138139138139138141138140137136136136135134134133132131131129129129129129130131131132132132132131131130133133133134135132133133136135136136135135132130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195196198198199199196198198198201202201201202202203203203203203204202202205207207206207207999999999999999999999999999194194196193191189189190194196194193193193192193193192191190191190189188187185185185185185186186186187186185185185185184183183182183183182182180179181179179180180178178172169171170167169170169168168165163159152144142139137139142145146145141137134130125115110107106114103116108 91 92 97999101102101105110116122127131135136133136137137127137140141140146144144145146148149151149146145148150151150154144142148141137133135131135139141142142147142142135141138140136142146146151151160141144138143143147144137139141137142141138141142141142144146148147135138146145145143140141141145143141146141145148146148148149148146146150145147150151149150151148148148149147148146149146144144141141138136135134136136137137136136135136137137137139139137136136136137134132132132130132130132132132133133133133133133134132133133128128126125126130131130130130129130130132132134134135136138138138141141141140141142143144139137136134133133131132132132133132131129129129126130131130130133134137137139137135136138138140137138137138138138134134134131131131131129130130130131132131133132132131131132134135134134135133132136136136136135135135135130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192195197198198197197198199200199200201200201202202204205205204206205204206205205205206208210999999999999999999999999999999194196194192190190190194197197195195195195195194194192191190190189189190189189188188188188188187186185185185186185185183183185184184184184185182179177177178178177175175173166168167165166168169168170168165159149145143144150149151146146139130128126128128114124113109110103101 89 94 91102107111115107119122127130134135135136135135139139146143145147145145145145146152154153151146150151153154147152147145146140141136140139139140139144145145137139139140141142138136142143143149161144146145146146143144144149139141139139139140142141144146145147147141142143144145145147146145142142142142146145140142147145145149152149150151148149151151152150150148146149148147147152152154147144144138138137137136135136135136136136137138138138139138138138140141140140139136132133129128132134132132133132131131131131132131131131128126127129130129130128130129131131130131133134136138139140140140141142142142143142145141139135135133133132132132132133134133130130129129128130130132132134137137138138136137137139138140140138137137134134134133132131132131131132131131132133132132131131131131134133135135134135132134134136137136136135135135130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193195196197198199199199199200198200200202202202204204204207207207208207207206206206206207209207205999999999999999999999999999999192192191191192190194198197195196196196195195195194195195194191191191191191190189189188188187186185185186186185184185185185180183184185183178178178178181179174174170167163163164162163160163166167168168167162156150147153150148145137138124120120120124117121121120110104 98 88100 96100111109109125129127129133132136139138140142145146147146143139145143147149149154157155151147150148146140142137139136137133135133139150137134135136140142138139142146142139139139141142142146147145144143141141143148148145143142143143143143144143145143147147147145139139143139145148148145144140142141143142135140141144143147146147148150151151152152154153153151148151149152153159157155151147145146143141139137136133133135137137138140139139140142138140138139140139139138138140139134136138137135133133131132131132131131131130129128129129130129130130129130130130130129132132134136139140142144142140143144142141144141139138136134132131132132131134132132131131130132132132131131132134135138140139138138139138135136137138136138136135134134133131132132132130131131132131131132132130130132134134133135134134132132134136136137137135135135129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192193194196197198200200200200199201200201202202203203204204206207208208208209208208209209209208208207206999999999999999999999999999999187190190192193193197197197198197195195195196195194196195195194193194195192192190190189186186183182179178178178180180178183180183184183179179180177176174172169167165163161160158155153154154158159166166169166162158153152152148139140131122119118114115117118121121112 98 97999101102110121126128137139139139139139133134138143144142142146143146149145146147136140151153149153152147146140140142137137137133136138136135143140137136138139141137138142144144141144142141143145147147144144144141153144150150148148153145145145143143143146144147150149148144147145137140149148144145146149146146143142142144143145147147151146148151151152152158155155154152154151149153154159157154150146145144142140137137134133134136135137139140140140140141142140143141139138139139141139142140142140138136134133134132132132132132131129129129130130130131132129129129130129130126130133135136138142143144143144143143143143141140138136135132132132133132131132132130131130132131130133131133134134137140140139137139139136136137138140140138136135135133133130131133131131131131131131130131130131134134135133131135135133133137137137137137135136135129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193194195196197198200201201201202202202203202201202205204204205204206209212213212211212212212210209208207999999999999999999999999999999999183187191191191196197198199198198199199198198197196197196195196196196194194191192190186184183178177176176177180178176174173175180184183181178178182179173170168164160158155153151149150148148149157158163166164162156155154150144135135129121115113110114114122118104101 97999 99103110115127132136139142135142142139140135136140145146144143141143148154147147148148155151148148147142143145146142141142144154153146155150151158149152139140140140139143145140144141139148144147144141142147142145145143147152152151149149152148143139144144143146148150147147148148146150145148146144145147146147143144149144145150144159153150149151155155154156157156152148153151149152154159159152152151151149148141138138137137137138136138139140140140139140141141140138141142139141140143145144144144144142139140138136134132133133132131130130129129130131130130128129129128125123128133135138139141143144144144144144143141141140138136135133132132133131130130132131130131131131131133134136135136138141141142140142141139137138137138138138139135134133132130132131132132131131131131131131131133134134133134134134137136137137136136136136134137133129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193194196197198199201201201202202203202203203203205205205205205205208212214215215216215213213211209206206999999999999999999999999999999999999189192194192195194199200199200200199200200199199198196196198197196194192190188185185186179179179176181180177176174171170172178178177179179178176176173169165160156154154152151147150149146146148148160156160160156154153147146141135127116118112114112106114111107101102104106114112121128137137139139134142142139137135136138143142139142142138145145150149148150152150147144143140142148152152144144147155152143145150152154151152158146139141140146144140149150138155157164163149143147149152153153154157150149150150146148146146145142144148149149150148150150150149146150148147152146147149147147147144155155148146148152157157153154157158155156152151151150150152153152154154153149152150148143141140141140144143140138138139138141140140141142142142142142140141147145143145145144144143143142141141138137135134133132130129130129130130130130128129127127131130132135137139140141144145144144145145144144142141139137135133132133133132131131131131130130130129131132130134136137136142142142143144141139138139138137137137136135134133132132132133132131131132132131131131131133132134132132137138136137139138139137135132135136134133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195194195196198199199201202202202202202202203204205205204205205206208211213215217217217215215215214209206999999999999999999999999999999999999999189999999192194196198200199201202201201201200200197196197196196199198192187185184187182185182182182180178175175169166166170172173175177179177177176168164161158157155152150148151150149148143145148150154156155156156158155148143134127116114115117113106111112111116110111118121123127130135137138135132139138141133141136138138136127136140138145149149144144145148151154145141142142143145151148150159157154138145148149149148148148148153149148144141138138141143151157163164151159156160154153154150152150150150150154156151153146145144148150149151151153152153151150150152151152150149149150150149153152150147145152155156153153157156156155153150149147148148152153155155153151152149149145144144143143144141140140140136139137140141139140141140142143143143143144142143144144143143143143142142142142141140137135134133130131130129130131132130130134130130133133138140140144144147145145144145145144144143142140139137134132133132132132132130131131132131130132132132135136138140142143143143145141142140141140138137138138136134134133134134133132132131133132132133133132132132133133135137137137138138137138138136134134136135133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195196195197200200201201202203203203203203204205206206206207206209213214215216218218221219218218216210210999999999999999999203205207999999999999999999999190193197199200202204204202201199201199198198198198199196191193187189188186188184181181180181178174169168171171173177176178182182178174173169166167163155155154151149146144145141142147147152154155157165156163162150147136133126124120121122114114102105127111112121125131132133135140141140134134132135138134131141132134132135136139143146147146145143146145145138143145143146147150150151145150148146146158152144144146141139141141152147141141145144138142143153159147156156156156156156152151150151152154155152151152153154150154154154154156155155156155155154155156156158157153152156156158157153153153149155156152152157157157154153148147146148148150153151157152151151152152148146146143140142140141141138138140139139141142142142143142142144144143143143142143143144144144143144143143143143141141139136134131131130129129132133132132134133128129138141143145145144147145144145145145145145143142139138138136135135134135134134134130132131130132133134133135136138139142143140143145145143141139141139137139137137135134134134135135132132134133133131133134134133133133134134135136133135135135137138134137133135135134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193195195196198200200201201203203203202202204206207206207207209210213215216216218218221221221220218214211999999999999999999203204204205207210210212215999999195194199201202205206205203198199199201200197196196197198196195193189189189184182183183179180172170169170173176178178175176179179178175171169166166168163165159151154151150151142145151152152155155162167164167157156143133128117123127124125121115114111112125121134129127127135135142138142135135138138132137134137134135134140141140136140141138138144146145148142141144153148155151151142141145146147148152155149156152149141140135140140145146145143139141142149153156153154155155153156157152151152155157154154154155156156157154158157158158156158161160158155155155155156153155155155156156158155151152154158155151153151154151151149155146148150147148150152150150150150152152148144142145138139143142146141141139140140142142144143143144142144143143144144145144145146146145144146145144144142138141141139137134133133131133133134135135138138139129140143147148146146146146145145145145146145143142142141137138136133135136135135135134133133133133134134133133136137139141142143141144144144142141139139141139138137136135136135136135135135134134134133135134135133133134134134135135132132134136137137135138137137136134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195195195196198199200201202202203204204204204207208206208210208211213216216218219220219220220219217218218213999999999999999999205205205206207209209209211999999999194200203206207206203204202200200201200198198200197197195193194189189190187181185180178178173178178177176175176177178178179182179178177170165165164166165164161158155159153152146151154157160160162166165161161157129127121126118123124125127123124102104117133137137136131135138138137140138137139136136136135139137137139139142140139135138137137138143146149145147146140136149154145147145145146148151143145143142134145150147143144142145149152152148147152152152156153156169167154155150155152155156157155155155156157157157158161161161160161164162163165162161159159159159156156156153154154156155158158145155156158152153152149147148151150150150146147148149150150149155154151150149147146140140142140142141140142141142143142143144145145143144144144145145146147146145145145144144146143140141141140139139136135134133134135135138138139138137139144146149148149146145144145145145145145145144143142143140140134135137136134134134133133134135135134133134134136135137139140142144144143144142143141140139142141138136136136135136136135135136135135134135134135135135136136136134134133134133137138139136139138137136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195195196195197199201203203204205205206206206206208208209210209212213215216218220221220220221219219219219220217209999999999999203207208210210210210211211213212999999193201204207207206205204203203202202203200201199198194193195190191191191189187183185181181181182181181180181179180181180182179179175173170166164166165166166168167162169155163163162157165164163166166168146144139132125122109121128119122120127113115118126130141141133134144148147148141140140139139136134134139140138140144142136137136137139137139142146146146144143144138144152146149140140145146144144149146141140140145143142145144149149156157157162156155157158158157154156165161155165159158158156154154157157158159161161162156162163166166168167170166169165163159162159160158160158157159158157159156147157161156155151148152152153155155154150149148147149150152155153153152153155147147147147143145143144142143144144143143143143146143145144145146145147147145145145144144143145143143143142138137140139137136135136136138138139138138140142145148148148147146144144143144144144144145144145144144142142139139139136136136136135135135136136134135134137136136138139141143147145144142145144142141139139140139138136138137137137135136136136136135135135137136136136136136134133134134137137138139139137139138138135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195196196198199200202204206206207207208208208209210211213212213215215217219221221223221221220220222222221222221213999999999999204206210211212212213214215215214999197198204205208206207208207204206204203204203204203200198199197196197188194191189187185182183185184184184183184182184181182179178176174170168170169165167167165165162168170168170177176172162161149149141135141134128130112110108124117117115113123122121122132144144143138137143151149149151143151153143135134135142141141140143143138139138137139138140142144143143141145141139135142146141145144143144143150143143141139140150146145143147152154151156155159159159159157160164167163164167155158165167164161159160161161161163162163165163166168166166167172169169170165167161164164164164158161161160160159158158158154156155153152150152152152152148155150150149149151152152149153154154152149150151150150149149145148142144144144144144143142144143144145146146146147147146145144143143144143144144143143141140140140140138137137139139138138138140142145147148145148147147144144143143144144144144145146145143141141140138137137136136136135135137136136136136136136140138139141142144145147148146144144142142142139139139139138137137138137136138136136136136136136136138137138138137137134136135136137137139139139139139139140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196195196199200199200204206208209210210208208210212213213215215216217219221221221222223223225225224225224222222219205999999999999204206210210211210211213215216216202200203206207208207209209207206206204207204203203202200198197197198196194191192194190190188186188187188188188188188185184182179178176173172171171170169171170171169167170171169169175177173168155149146139999999999124107120116111112111113115115118121122124134145138138137135146150149153155152153151145139146128132136140142142145144144139140136139142143142142142143144146145146148142150149142145150148145146148149142148155152144150153155157154158156156155161162159163160165161163160167172165166166166166165164165166165166165164167169169169169170173170168169168168168166167166159159155166165155161160160161159157153154152150153150153155149150150150151151152153152152152152153153153149148151150149149147145145145145147149149146146147144146146147148148148147145144142143143144142142142144143142142142142140140138140139139138138140143146148148147147145145147144144144143144144145145144146144144143142140136137137139140138136137137136135135136136137139138140142141143146146145145144143143142143142142141142140138138140141139138136136136136137136136135138138138137138137136137135138138139139140140139140140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194197198198198200202202206210210210209208212210212212215215216218219219222223224224224225225226227227225223222222219209999999999204203205208210211209211213215216216205204206209212211209208209209207207207208206204203201198198198197198195200199198197196194191191193190190192191191189188185184182180178176174174172172173173169172171166168167165160162162159151148148999999999124122117122125127120116110113116115121122136137138141145134133136148150153154151145146146140138143144141141141144147148145145143142142141143142142142142147148144146144150150152151143149149152151150152152152150151150150156159157158158158159160159160161161161160166166168170172172167165166167169168168169169169170169166171171170170171170169171169170167167166165166165161161158162158162160158150159157155148152151154150150148155149154153153154152154153154151152152155149152149150146146149149148147148148142146146146148149147146145148149148148146147147146143142143142141141141142141141141140140141140139139139139140141143146147148147148147146145145145145143142145145146146147147147146144143141139139138137138137134137136136136135138139140141142141142141144142142144145143142143143143143144144144143142141143142141139138138138136137137136134135135137136137137135138136139139138139140139139141139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198197199201201198200203207210212211210210211211209211212213215214214216220223225226227226227228229229228225224222221220215204999199203203204208211211211212214215217213210209212213214212209209210209209209209209208207205203203201201199198201201201199199200198198197196195196196195194194192191189186184183181179177178181179179175171168163164170167160155150144142141999999999135136114132132131124125121118118118117124128130132133142141143140146150150152152152148149155153144141145144143143143143149148147144144144146145145144144146147146149151145146147146150154150156154149146153154154153155151158156161163158156161164166165165166167168167165165168169167166168167167169171170171173173172170171171172172172173170171171170171167168167168167165162164164163162159160162160163164155154149148150155151152156156154154153149148150151152152153151152153152152149150148147146149148147149148143144147148148148148148147146148149149149149148146144142143143142143141141140141141141141139139139140140141142143146147147147147147147146146145145145145144145146146145146148147145142142142142141140139139135135137138138137136140140142141142143144142143144143144145145143141143145144144143144142145143144143142140139140138137136137136135135135134139139139136139136138139139141142142142141141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200200199200201200201201202206208210212213213214211210210213214215213213219221224226227227228229230229230228226224222223221220215204197201203204209213213211213215215215214215217217216215213213211212211212210210210209208207204205205206204204202202201202200200200199199199195198198197198196197197196192190189185183184183183183188185184177165171168168162147139138999999999999138136124129132131137129114117118123121121124127131139140142143147149150153153155156158155155153157148146145146148147148148151149147151151145144145147149148148148149150150146148147152149149152157157145146146149158159158156159161160158163163164165166168169171168165171170171170169169168166169168170173175174177175176174175173174171173175173174174172171173167170170167167165164164161164164163161161162160158153150149149155155155156155153157153153153151152154153154153154154152151149149146147147148145152152147148145146149149148147147147147148149149149150149147145144144144143143141141141141141141141140140141142142143145146147147147147147148146146146147146146147145146146147147147147147145143142144141140136140141138138137138138139141141141144144143144145144143144146146146146142141144145146146145146146145146148146142143142141139138137137138137138136136137140140138138138139139140142142142142143142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198202203202202201201198201204205207210212211211208210210212213215213211217221223227228230231230230231230231229227227227227224224224221215209203204212217216216218216215218219221222221220218215214215213214213211213213212210210205206205205205206204202202200202200199200199199199199199197197197199198198198196193193190188189192192193192192187175166152147145135140999999999147147135138139138141141135124124122123128127132139135139140142147148151152152156153150158158158156161162153149150150152150151150149151149155157154151152150154159158148150152152159154153151149159157156158147146150150153160164165163161161162165167168169171169167171170170172172171171169169172169169172171170175175176175174175174174172174174174174175174173171168167173169170169161160165164162163161158156159158157152147148148155153155157157157157154154151153154155155154153153153153153150152147147148147146147148147147147147149149148147148148148149149150150150150149147147147146146145144143143143142141141141142142141143146147147147147146146146147146146147147147146146147147147147148147146145144143141142142140139139138140139139139140140141144144145146146147145144143143143144145144142142145147147148147148147149148149148145144142140140141140139140140140136135136136141141138139140142141143143143145143144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999197199201202201201199201200199202202206210212211204205207207209210212213217220225226229230231231232233233232232232229228229230230231230227224220210204212217219220224223220222224224223225222219218215216214215216215214214212210208208207204202203203202201201199199200201201199197200201200200198199199199200197197197196195191194198199198196190185170156147138143142999999148141135134133145144142144144142121119127130125127139141144147147147152155156154157160159160159158161162161161159155155154154152154153153156155159160160158160159157161157155152152154155154153154159161160160162155153155153153159163164165167167165165166170169171173176175176177181178172174171172171169169173174174175178177176176176174173172172174174174173171173173171170168167169164163160162165161163163156157156155152152151153154155153151156156156156156155158154154155155153154153155153155152153150151153148148147147150150147147149149149148148147149149147150150150150150150149149148148146145145144143144143144143143143144141146147147147146145146145145145146147147148148147146147145146148147147144144143143141141139139140138137138139141141143144145146145147147148147145144142143142145144142143144145148151149148148150149149148146143143143142140140139139137138136136136136142144143143145145146144146145147146146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196198200201201202201200200200199200201202204206211211208206204208208210215218222227227230233233233234233234235232233233231231234237236234233230228223219216212216223225224225226226227227227228227224221217215214217218217217216214212211210209204204204202204202203200203202201201201203201200199199199200200201198196194195196195196198198200198194999179169157148138140144129145152137135140134134143136140141142138127128126128135140147150150156157157161161152162161161165165163164163162162160160159157157157157157158156159162161163165162163161161161160157165157159157159161161161161162162166163165165163159167163161168169167170169170172175175177180181182181180180179174172170169170176174178177178180177178176176174174176175174177172172174175170171163167165165169163167166164165166162160158154155152150155153154153155154155154151154158159158158158156155154153155154157154157155154154153150150149152152148149150151151149150148149150149150150151150151152151151151149147145144143143145145144144144145147144146146146146147146145144145146146147147148147147147147146145147146146145145143144141140139140139138137137139143142144146144146146146148148147144144143143143145148149147147147148149149151150150151150149148144143142141142139140140139137136135142144147149148148148149149149148147148149148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194196196197199199200201201200199201202201201204205206207208206207206210213215219226228230232234235236234235235233230232235235235237239235233999228227222222222215218225227227229228227227227228227228225223221219216220222220217218215214211212207206204203203204202200202202203204203201204200198199199201201202200197194192195196196197196199199999999999999173153144143125120125126128134134136141142136136143151159153147146147145147147147157159164162166163166165155165166166165164165165160161161161161158158159159160160161161160162165165165163165165165160158165161165163162164164164166167166166164165161163166169173172174171176177176177177177177178180182181181183181179174178175172170172177180181180181179178181179180179179176178178178175176175176171171172171169168169168168165168167166163158152156154155154153156155152149152151154158161160160160159159156153155155155155156158156153154153155153154152152153152150150152150147148149147149149151152151151153153151151150147145142143144145146145144146145146148146147146148150149147144146145146147146147146146146147145145146145145144145143144141140141141142142140139142140141143147146147146146146148148144145145146144148149151149147151153151154152151153151153150150148146145142144144143144143141142142144146149150150152154154155155151149148148147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194195195196197198199203202202203202202203201199200200201207208207209209210213218222228230231232234237237237237235235999232236236238239240999999999999999219221223218215222226225231228227226226228228228227228227223222222221220218219217215213214214213208207206207203205206206206207205202204203202201201202204201198195191189194999194193195195200999999999170170157156152146145135131141141140136136140145153141165162168165162159153154155158166163166167167161163158159170168170167169167161162163163161159162159160159161162162164164164166167164164169170170168165163165166164165166166168169169166166170168172170172172175173176175177179178180179178180181184184184183184182181180176177178175177178178180182181181182179181180180179178178178178174176175175177177176175171167169168170169167167164162162155155152153154154158154150145150147148158158161160159160160155158157155158157155156155155155155155155155152152154152152152152151148151149148146147147149151152152151153151149148147144144145146146145144144145148148148148149148147149148147147147146146146147146146144145144144145144142144144142141140141144145144143142143141140143144148146146148149148149146147148148147148146150152152152152153153150151148151152151151150150150149148144142142145144143145145149150152154155156156155156157156156156153149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196194195198197197200202197203202203205206206203201200203199202206206207209209210216220226230232233234235238240239238237237236236999238239240999999999999999999999221224223223221227227230228228225226226227229229230230228225223221219218219218218216215217215209210211208209209209206207207206207205203202201201204206202197193185180190999999999999999999188178174169164162164161159156152151144148143153153154161165160157162174172171155162165158163162161158163162162162168167167167172166168165167164165167163160164162161160160162164166165166167169168169173171172169169169168169165166167175175171171169168172171174173176176177179179178176178179180182183183185186186185186186185186183182181179179179178180180181182183179180180181180181180182180178179177176177178179178178178172171169171171169166167162156156154152151153154154152155153150146151162160160159160159159159160157156153154156157156157157156155155155153155155154153153150148147149148148146151150148149150151151153152149147146144144146146146146146146145147145144150149150151148149149148148148147147148147146145144144144145143143142141141141139140140143144145146140149147143144148148148149149150151152150150149149149147151152150152154157154151150148151150149149149149150150151146143144145146149146150152155156155156158158157158158158157156155152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196195195197199200201202203205207208208209207211207207203202199205213211208208211215221224228230234235236239241240240240240241239241999239241244999999999999999999999999225225226223224227228229227227226227227227227229230230230226223219219221218219219217217215214212211212209213212212210207208206207205202203204204205200196191188999999999999999189190190183174172165164162168166161157157155153149148149149162154149150154155171171171168164164170166164164167171168165164170167168173163171173172171171171170171168162163163162162162163161161167170169170170172173173169175174174168168167172175174171172172170173175173175176180181179179177178178180182183185188187185190190188188185187184185179176178179180180182180181183181185184184187184185184185183181182179178175176179180181176174178177170171171170165164158157152152154153156157153159154151163160161160160160159162161160155155158157157158156155156155154154154153155157155156153151149146152148147149148146149145148151151153152150148148147146145145146145145145146147147149150149150151152152152151149149149150149148146146146144143144142142141142141140140140142144141145147143146143147147147147148149151152153153151150151151150153155151155158158159159152153152155154154154150152151151149147148148150151151151152154156158155161161161161159157156156156153152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195196195196197198202201203204208210209208210209211211212212209200206209205208210215220223224225229232234234237239240241241242242241243244242242243245999999999999999999999999228229225222223226230229229227228228227226229230229229229225221221221220222222221219217215215215217216218216212211212210207205199201203204206203199195999999999999999999186190193187187183169175161166167171172170162157160153151152159165158159159153160169177182174180180176177178174173169169167164173171174174177182181180178176173172172167165164163165165161167164166167169170170174176177179179178178176177175173174171169172173173174176175176176176178180180181177180181182183184187189188189192193192190188187185179181181179179182181181182181183182181185184184183185184184184182180180179179179180180180181180181181178179177176174170165158154154156157151155157156159154163164163163161163162163163161158157160158155156156157155157156157156154154158157158156150150152151151153153152153150150150151150152152150150149148148146146145146146147148148148148150146148150152153152152150152152150151150152150151146145147145143144143145140143142143142142145143143147149149147145147147151152153154154152150149152149153152154157158159157158154158153156155155153153153154152152153153153153154155156156156158161161163162162161160158158156156153155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198198197199201202201206207210210210210210212211213214214213216213205205207205210216219223225226227228230230232235238241241242242243243243245245245246247999999999999999999999999999228224224223223225229228227227228226229230230231231231227224225225225226226224222220217217217216218221220217213211210209203203203203202200201200198999999187999184192194187187188186178168168167169177180181185174170172166167167165163169160159177168179183185185183182181182182183181181184179182177180190190192188185183179177177173170166166164164163165166168170169173175176177182182184185186184184186185180178177172174174175173177180176176177178181181181180180184186187185187189191192193193191193191190192188186184182183181180180180179182184181183183184184184185184186185185184181181181183181182182182181182182183186185185183181172169161157161161160157162159158158166168167164164166166166165166163163160157156159156157159159159160157156157158158156155153151154153153152153153150150150153152151151150151151149149149150150146146146147148148147147148152153151153154154156155156153153155153153153152155150149146152149144148145144143145146147149148147150149146145147149149151154155155153150154150149151155154154155154157158156154159157157157156156154155154156154156156157154155157158159161161163164163162159160161161159159158156158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199199199201202203205205209212210211211212212214216218218219218219217212208210211214218218223227227231229230231232234237240240242244244243245246246246247247246999999999999999999999999999223224226225229228228228227227228232231234234234232230229227226226226225225222220218220218219222222220219216214211206203203204204201196195999999999176189187192194196192193195184184185175195199187197197190183179179168172165169176173152165175186189190196190185187186189189191188187182189199198199198196194191186186183186182182170167168167165164165167170173176177178183185190190190193193195194192193190184185184181180180180180180179178180181182181182183186187187187191191193190193191194194194192192191189187187187186182184182180180181182183185185185185185184184184184183185184183183182182185185185184185182185187187187179185180171168169175174175169169166170167171170171168170169169169170169169168165157161162158158161164164164162160160161160157157156156156156155155154152153151151151151150150151150152152151150150149147145146147148147147146150151151151155154155154156157157157155155156155157147155159155155152155148146145144146145148149150148148147147147147147151153154155151153153153154154155155155156154154160158159159159159159159158158157156154156158157157158157158160163162164163165164163161161160160161160158158157160 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200200201203204203203206209210210212212211210215217218219219219222219220218216218216218221220221224225230231233233235236237239242243245245245247248248247248250249999999999999999999999999999999224228231234235232230227228229232235235236234233232230228229230229230228224222222220220222221220220220218216212210207206206202193190999999999181185184195187200198194198187191185191191194199197195195189179176173167173177172177177162178192192199197195193190186186191190192192194200201201199197195192192192191182183184184180180172172173168168169173176178181184186189191193192195197196197197196196196195193192189187187187187183184185185184186186186186186187189188190192194192188191191195195193192192192192190190187185186184183183184184185186184183184186186185184184185186188187184184184184186183184184186186187187186183183182176178180180179180175174176181180177171173173173174171172173173173169168173173172161166169172172172166163162163162159157157156159157156155154155154155154152153151151154153154153153152152150151151151149150149149148150150152153154153154155156158157159157158157158161162163157157157156159151147146145150147148148148147151144146146146146150152152151153153153153153154154155156158157157160159159158161161159159158157157156158157159158157157158160161162164166165165164162162161160158160158160160159161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200200201202204205207206208208209211209210211215216217220220219221220220221222221221223221221220221225229233237238239240240240241243244244245248249251251250252254251999999999999999999999999999999999230235236238236231228226226227231232233233232232231230230231233232228229227225223223222223222221221220218215215212208202195187999999179184179186185196195199196196198198182183186195197197198199193184186172162162170177178182178180188194196201202204205196196197195194195200196196196201201200196195194192192190187185185183182180174176171170171175177179182189195196199200197200199197198200200201201199198197196193193193193193194193193192192190188187189189189190191192195194193192195195196195193196194195194192192188186186187186185184186186185185185188188188185185188187188188185186185184187182187187188187187188189189188183183180180182185184179177182178179180178178176177178176175176176176175175176175176174170176176175171169166165166166161160159160162161160159157156158159158155155153153153152153153153152151152153151151151151150150150150151151153153153153155159159159160156161163163161162166170165161157159159155154148151147150149148147147144143143143143148149150151153153153152153155155157158159160161161159159161162161161159157156156156158157156157157155158158160161164164163162163162162160160159159160158159161159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999199201202203203206210212210210211209212210211212216218219220221221220223224227226228227226226225225229235238238241243244243243244244243244245247249250251251252254254253999999999999999999999999999999999999234235236235234232228226226228229231233230232232232232233231231231230229227225222221221220221220219218217213211203190184999999178177172172175192200194199200198185185179189193197204203202201190175172166166167171175169191193192188195201205204205204205200198201199199199201195198197198197198197193196195192185187189183183177178173176177173178178181188195199201202202202202201203204200201203203203202201201197197196197197198196196194195193190192191191191189191192194194194194194192193192194195196195196195194192189189188187187187186186187187186188187187186188190189189190187187186186188187186188188188188189189188187187189190187186187185184180181182181182181179180179180179179177177177177176174175177177176175176177176177176169169168167164163164163163163160160162162162160158159155154155152153153154152153154152152150151149153152154151152152152151153154156156158158158160160161160164162164168165164168164160160160158155152150145149147147146144143143143153153149151152152153156156156157159158159160162162161162162162161161159156155158155154156155156157158157159161164164164163161162162161161160157157156156159157156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205203204204204207212213214214215211212213212212214215217222220224225225229230230232232231231233233234238240242243245246248248248248247246246246248249251253252253255256256999999999999999999999999999999999999999999234234233233229229227225227230232234234235234234233233234234234230226226225221222222220999999217216213203198191999188182178172186188189189192187190193191188188200196196201201206203203199197186182171174176179190192193200209204205203209202209207201200201200201200196195197199195195195196194196190191190187181189189182185172180180179180182189197201202205206207207207205204204204202202203203201200200199198200199199198199197196197194193192192191192192190191192193194193194193192194193195198198200199197196194192190190191191189187189189188188188189189188187189190190190188186185184187187192183185184190187189190193195194192190188187188183183181183183179182179179180180180179177177175176173173173174174175175175175177176176175171173172167168165163163162162166165164160160161159156156154154155154153154155153153153153156157157154155156153155152153154156155156158160158159161163169168168169168171168169160162161160157155152151149148148146148148143142147153155152152152155156157157157158159160162162162160161162162159156154153152153156153153155156156157159161163165165164164162162161161162161160158157156158158156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208206204204206207210211213214211217214212213214214213212214216219221224227229233233233233233234235236237239242243245247248248249249249249249249248248249250252254255257257258999999999999999999999999999999999999999999999999999230230226227230231231231233235236235235235236237237238236230227229228227226225999999999999999212209199194181180180186194190192192191191193189190194204201199200201205206208202200196198192181181188185190192198201204209207206209212211209207203201202203204200196196199201204200198197198197191190194190183190190185184177180185186187190199205205206207210210209210208207206206204204202202201200200200200201199198199198196196197198196194194193193192192192193193193194194194193194196196196197194198199197197195195193193191190189190189191191191189190189187191193191191190191188189190192192192188189188195196196195193192191191190189186185184179182181182181182184183182181180179176174173173173173173174175175174174175176175173172175172173171168164164163162164167165163162160160157156156156156156156154155153154153155155156156154155154154156153154155156155158159162160162164166167170173174175174172173163167165162160160156155150150150150148145145147146155153156155156156157157157158158159160161160161163163163162159155154155154154153153153154155156157159162164165164163162160161161161161162161161160159155156158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209208209208210211211210212213215216215216214214214213216212217218221222223227230234235234233233234236238240243244246248249249248250251250250249249249250250252254256258260260261999999999999999999999999999999999999999999999999999999999216216227230234237242241239238237237238239238239239999230230230230229999999999999214214214211205200197195184183192194192187184185171190191179198197203203203206206202201201197199197197195184189181194196193201208205207206206206205209208208206198202200204202207205201204196193194199195195195193188184187191185185186187193196203207211210210211212212211212211210209207206204204204203201201201200201201198198197197198198197197196195195195193193193192193190191193193194195197194196195195198199198197198196195194193192194192191191193194191192192191193194192192191193193192193192192194191193191195196196194193191192190190187188186184182185183183183183183184183182180178179177174174171173174176175176176176176176175173173173173172172171167166165167164166165163160159158156157156156157156154155155153154157157153153154155155156155157156157155157158158160163163164167172172173176175175178177176170171170166163165161161159156153152151149149150149154156157155156157157160160160160160161160161161163165164161159156154154155154153155155156157157158161162163165164162161160160161161161163164162162161156157158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208209209210210211211213214215215216218219218218219218220220219223222223226224228232235236237236237238239241243244246249251250250250251251251250250249250251251252255258261263263262999999999999999999999999999999999999999999999999999999999999999233234237243246244241240238239239239237999999231232230231232999999222221219218216215214208203203203194199197197193192191175175176189194196206205207207205204202196200202191197193196205202199200195198192205203203203206201201201209209206205204201202201206203206202193188190196199197183187189186180187186189190195202205206210211211212214215216216217215211207206205204204204202202202202201201200199199199199198198198198197198198198197195194193194192194196194196197195196193197199201198199198198199197196195195195196194194194194195195196194195194193193193194194192196193192193198195195195195195195194194191193189188186185184186186184185184183183183182181180178179179176174173174176176176175175177177176175173173173174173172171170168168169171170168163162161158157157158158159158157157156155154156154152153154154154155153157157157155157159159161160166169173173174176175174175179178174171172172174174171170168164163160159155155153152152156153152155160157158160163162161161161161162163166166164160158155153153151152153154156156159160160160164167168165164161160161161163164164163163163163160159158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208209210213213212212211215217217216216220219219220221223222224223221221223227227230233237238238239240240241242244244245249252253252252253253252252251250252253253254256260264266265262999999999999999999999999999999999999999999999999999999999999999999999999999999246242240237238238237999999231232231231232230999223223222220218220219213210208202199198197200204200193185190177186194203207203206207207210205204202200201201200199201202204202205203198198204203203206205208211214207206203205204210209205205203202203197194195192194189188189187184185191191192195201206208211213214215215215216217218219216215210209207206204203202203203204204203201200200201200199199199200200201197200199198197196197197198200199197199197196196199201200201202200200199200199197196196198196195196196197198197197196195195194194196197196197197199199199196195195194194193193192191190189187187186187185185185183183184182183181181181180181180178175175172173176176175176177177174176174175175175172173174174169174174176171169166162162159158158158159160157158156159157156159154153154152154154154155156156157158157159160160162163170175175178178180175176179179176180178173171172173173173171171168165164163161156154158161159159162164164163163164162162161161164164160162160157153153154153154154153155157157158158159161162162167166164162162162163163163164164165166166165164162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213207210210212213214215214213213218221222221221222223224224224224224223225225228228231237239240240241242242242243244245245248252254255254254254252252251252252253254256258261266267264262999999999999999999999999999999999999999999999999999999999999999999999999999999999244242237238999999999999234232232230999999223223223224222220218216214211209207205204205206204199200195189190193201208210209212212209208206208203204194201197200202200195199204206196192204199200206208208211213209209205203202211207208210206203204202196197191191189195191190191197194192195197204207211212214215216216216218218220220219219212211209206205204205205206206206206205204204205204204204203202202201203203202203202204204201202201201202200201201202202203205201200201202202203201201198198199199198197198197199198198198199198199198200200201200200201201196197196194195195192193192193192190189187186186184184185183184183183179180182182183183182180180179177176176177177175177178176176175176176176177176174176175176176176174171168166164161159159158158159157158159160159159159156155154153153154154154155158158159161160163165168171173174175178179178176176176176177176174174173174173174173173174173170170173171165163161163165165165165166164165165162163164163162161159157160157154155155154154157157155156157159159159161163164167167165163162163164165164165165165166166166165162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208210212216218217217216216215220220223221222225225226225223226225227227229229230234238241241242243244244243243243245246248252255255256255254253252253252253254256257258261266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234233230227999226227226226225224222217212210211999999208209209210212210208207207202204206209213212212214214215210208204204201200205206202205200207211208199204201200206205207208203206210211212211209213213209205210205204204202200199195193197198197197199198197196196205207209210212215215215216218218220220222221221219217213210209207208210210209210209210209210209209210209209209210211211210211213212214213213212211210207205204206206206207208206204207204204202201200200203202200200200199200202202202201201201200201201202202200201201202200198198198196195194195193192190190188188187187185185184183182182180181181182184184183183184183182179178178177175175174174174176174175174176176174172173176175175176174174172170169164162163162159158157157158158158155158156156154154156155154155158159161163166166167167169172175176177179179177175175176176179180176178175174174175174173173173171172171172170166171170169167168167168166166165164165167165162160156156156155156156158157156157157156157158160162161164165166169168166164163163162163163164166166166167168164164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205209213214217219219218220220223224224223223225226226227227228228228229232233233233234238240240241244244244245245247248250252254256259258256255254254254254254256258258259262264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230232229999999225226225225223222219218212213999999212212212210213215216215215215217218215218217217219217217217216214203200205203199204205207206206205207199202206206206206207208211217219216218217213211214214213209208207204202199199200202203202201202203205204204203207208210212213213215216217219219220221223224223222220217215212211211210210210209210209211214212211213214215214215217217216217216217218220217218218217215215214213210211210209207209208208207205203203206206205203202204203204204205206204202202203203203204203202202198200200199199198197196195193191191190191189189187186185185183182180182181182182184185185185184185184184185183182181178177175174173172172173172173174172173175177178178176175178176175174172168167165160164161157158159159157157157157157157157157156158159161163166167169170171173176178179180180178175175174176177178179178178177175175177174173174174173173172171173172171168169169169168167167166166165167167163162160161159156159159157157158156157158158159160163164165169170171172169166165163161161161162162165167167167167165167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999203203205207209213218216219222221223223221219218225225227226228229229231232232233236237237235235236238238238240243245248250252253256257258258259260258258256255255257256257258258259261262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230225224225223224224224222221216212211214213214213210212211214217221222223222221219218221221217223223220218218215211205209208207205206206203206209206206209212213206212211215216220220218220218219215216215209210212209208206204202202205205205208209208208209207208208210212212212214215217220221222222224225226226224223220218213212211211211212211210211213213216218219221221221224222222224225221223220220220220220218218220220222220219219218215214214214211209209211207209207205205205206205206206206207207206207207205206206204202200200198199200198197197195192191191189188188186187186185184182183183182182184182187186186185184184186186186185185185182180179177176175175173173173174174174176178176177175176178177176174173171169167165164164160158158157156154157155155156157156158159162164165166167171172173175178178180180179177176176175175173178179177176178176176177176174173174173173172169173173172168171170169169168167166167165164162160161160160160157158160158158157160162161163165167166168169173173172173171170168162158159161162162165166165164158167169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999204205203207211215218218220223223223224223223227226227230230232231231233234236238240240240239239240239240243245248250252254255258259259258259261261260260259258256257257258257258259260261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230226226223223221219218215211210212214212213213213215219223224226225225225224223223221221221225223224223215215215214211211208211209212212208212214209210212217216219217221217216224221222215217215213214217215213212210209210209210211212212214213213213213213214213215214214216219220222225226226228228228231230228227224223219217215214214213211212214216218221222224224226225228228227227226225225221222219219220221222220220220218219219219217217218217216216215213210210206207206208208208208207207209208207207207206206204203202201199199197197197195195192191192191187187189187187189186184184184183184184185186184186185184184185186187186186187186186184179180180180179177176175176176176177178178178178178178177177175173172170165167167166162160157159158160162159158163160165163165169168169172174172173173175176177178181181177177176178178178178180178178177175176176176175174174174173169171168172172172173171171170168167168167167163162160159157160159157156161160160160164164164167170171168167171172172175177175175174170170162164163161159159159157166159161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209207205206207209211215216220224224226226225227228230226231233233233234234236238241243244243242241241243245245248251252255257257258259261260260261260262262262260260259261260259258258259262263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228228228229227220214211210210211214215215215217219222225225225226225228226227228226228228227229229227224226226221222223221217215217213213210212218211222220223226222212227225226230225219216216217217219219218221217216215215218220220220221223221223220221219219218220219220223224225226230231230232232232232232231230227226224222219216214215215216218219221225226228228227228228225226226225224221219218220221221221221219219219218219218217217216217220217219219215212212211210209209211208208207209208208206206207206204203202202200200197198197197196194193191190188188189187185187187188185186186185185184185184185184186186187187187188187187186186186185184183182180180181179178177176177179179177176178178178179178176174171169168168166164162158164163163162161168163164164166170171170171172176177176176176175177180179180180178178177176177178178177176175176175176177176174174172173173170169172169173173173171171171170169169169167165162159159159160161158162162163165163168168171172174174172171172173173173174178179177173168163165165164163158158168168162161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213212211209208210211214212214215221223222223227228227231231233236236237238238239240243243244245245245243245245247249252255257258259260261262262262262262262263263262260999999262261261261261262263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223227229999224218213211213215216216221223223225225227226223226227227228227229229228229230229231231231231229226227225221223221223223224224221222221217224217228229229214214226224227223208213218221221222221221221221221220220220222224226226226225227226226226223224227226225228229230232232234233234234233232232231232232231231227224222220218219219221222224226227228227227226225224224222222223220218219221220219221220219218218217218217217215216215216218217216215212213212213212209208209209206207207206205205205205203203202201201199199199198196196193193192190188187189188187186186186187187186186183183184187185184187188189189189187187187188188186186183182184183182182182181181181179180180179178180180180180176175175172170169168167166166159157164164166168169168171173170172173172175174178176177180178178180181181182180179179177178177176178177177174174176175174174174175172171171173172172172174172173172173173172170169169165165163163163163163159159163166165166168171171176178177175175176175175176176176180179178177169162162163160156161168165168164165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243246999999999999999999999999999999999999999999999999999999999999999999999999999999999214214212212213213214215215213212219220221225226228231233234234236238239240241241242241242244246247246246247248249249251255259260262262262262262263263263263263263263263261999999999999259259261261261258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219218217218218220221224229231231231231231230231229228229230229229231231232231231231233232231231232232231226226224225226226226225227225226225226221230228231227229224226225222218223219220222222222223224222220223225225227229229229229229230231230230232233233232231233234235237238237237236237235234234232234234234234232230229227226223224225226227226229227226227225224222220220220220217218218219218217217217217217217217216215215215214213212214214213213211212211210211210209209208208207206206205204202203203203202201200200199197197195195191191191191191190189188186187185185186188186188188189190190185187187188191190189189189188186186186186184184184184184185184184184185182181182183181182182182183180177176176175174171168167165165166169171169174174175177174173175176177178179178179181179179181182181180180179179178178178176175178179178177175176178176174174174172172173171175174173174173173173173171171171168167167166165164164166164165166166168167167170172175180177178179179179178180181179179182179171171170168167163163157160162163167164166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239236999999234235999999999999999999999999999999999999999999999999999999999999999999212212214211211212215214216216217217212217220225227229234234236236236238238239239240241242243243246247248247248249250252251255259262263263263263262264263263264264263263263263264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215215214218220220223225226229231234234234235235233232232231230230229230231232233233232233233233233232236232235232230229227229229229228230229231231228228225227231230230231229228224223221222224224224224225226225223226226228230231230230231232233234235237238238239239239239240239240241242240238237238238238235232233233234235233233232229230228231231229229229231228226225223223222219218217216216216217217216216217216215215216214214213213213211210211212212211211209210209209209208208208207207205205204203202201201201201201200200200196197196194195192190189189190188187188187185184188186187189186190190190191190192191190190190190190188189187187187187187187187186186187186187187186186186186184185186185185186184183180180178177176174169166166171172170175178177179178178179178181181182182181180179180179180181180180178177178180178178176176178178177178178176176175174173174175175173173177176175174173172173171168164167166168167166167166167168167170171170171170170172173176176180180180181179178182181180179181176176170176179171164169165160159160163166167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237237232234234231999999999999999999999999999999999999999999999999999999999208208211212213214212213213215215215217218217217220222226231236238236237238237239238237236237238241241241245246248250251253253253256257260263264265264263263264264264264264263263262262264263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216215217219221223226228231233234235235235235236236235233233232231230231231231232232233232232233234234235235232234235233232231231231231232232232233234234232233230229225230233229229227230229226229229229226227228228228228229231232232232231235236240242241242241243243241242242243243242243243241239239239239239235234233234235235235235236234234233234234233233231229229224223221221220219219217215215216216216216216216215215214214213213213212211210209209209211210208207209208207208209206206206205204203202201201201199200199200200199200195197196194194192190188189189188188187185185184190190188191191190191193193193193192192193193191187188190189189188188188188190191190191191190191192192191189187187188189188189188187184182180180178178178177174174176177179180181181182182182181183183182181180184179180181181181180180178178178178179178178176179178177178178176175177175175173174173173175175175174173172172171169167165164163166165167168171173174174174173171174173174176175178178181184184181181181182184183182181179178174173176173174168166159159160162164170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235232999228230234231226999999999999999999999999999999999999999999999999999999208208208209212212214214216218219220220221220220219219224229234237237238240240239240238237234232234237241242244246250252252253256256257259261263264267266264266266265265265264263263261261263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234232231999999999999228226223222220222223226226228231235235235233234233234234237236236236234233232231231232231231231231232233234234233235237237235237237236235234234234234233234233232234234233231229229230228228228229228229230230232232232231232231232232232232233234234236239241243243242245243242243241242243243242242242242240241240240240240238236236233235236235235235234235236236235233234233229226223222221221220219219218217215216216217216216215214214212213212212212212211209208207207208207207207207207207207208207206206205202202200200199199199199199198198199199196197195194191189188188186186184187188186184191190189191189193191192195195195195194195194195193190186190187188190189191191192193193194193193193194193195193192191192192191191191189188186184182182183182181180180180180183185183184184185182183184183181180181183183180181181181182181179179179178178178177177177178179179178176178176174175174173173174177172172169172170173167167166163165165165166169172174178180179180174174175175176175177181184184185185185183181183184184181180180180173178175177177172170170164161159163164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236235232230230230227227226227228999999230999999999999999999999999999999215212215209208209209212214215216217219221222223225225222222222225227231234239241242240240239238234232234236238242244244248253253254255256257259260261263266268268267267267266267266264262262261258259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239237236233232230229229229229228227229229230232234234236236236236236235235234235237238237236236234233233232232232231231232232233234234235234236237235236236235237238237237234234236238236237236236235234230227224227226229233231231230230232231232234233234234233234234237238240240243243244243246245244244243243242241242240240239240240240240239240238238238237236235235235235235235235236236235234233231229224222221221221220220219217217217217217216216214214213211211209211211211211210210209209208208209207208208208208207207207206204202200200201200198198198198198198197197196195193192191190188188186184187185186188191188187191190190190191192194195198197198198198195194195195191189188187190191192192193194193194194194195195196196196195195196193193194192192193191187187185185184184185183183186186186186185186186186185182184182185184179180180181182183181181180181178179179179178178178177177176178178178177175175174175174174174172171171170170167167168167166166167167169171173174174176178178178176174174176177179182184185186186185184183185185186184179184183172175179176174172170174169162162161163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234232232229228228229227228225225226225224224219219218999999999208209212213214214215213210210214215214217219220221222224226228225227230231231228232234238240241243241241237236235236239242244246248251252254256256257259260261262263267269270269267268269269269266264263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240236236235232230230231230230231232234236238238239239239238238238239237237237236238240238237237236235233232233233233232232233234234235234234233235235237237238237238237238238236234236238236236236235232233231230229230230233234234233232233233233234234235235237237237239242245246245246247248248246246244245242241240240239238237237238238239238239239237238237236236234234235236236236236235234234231229228227225223223222221220220219219218217215214215215214215214213214212212212211213211212211210209210209209209209208207206207206204203202201200199199198198198197197196196195195193192191190191189187184185184185184185189190190190191192189189191194198199199198199197196195195192195193191191192192193194193193195196196196196197198200199199200199196197196196195194192191189189188188188186186187187188187187185186186186187187184185188187186182182182183183182181180178179180179179179177178178178178178178177177176176176175174175174174172171168169169168167167168169168170171172172173173177177177177176175176176178181187187188184187187188185188187187187182182182179180181173174170169166168168168168174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243999999999227225225225223223223223225222221220221222222219218217210206202205208209213217217216216215215218218217217218218220224225228228229228230230232233231231232234237242245242243243241240240242243245248250252253256258260259261261262264265266269271271269269269268268266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240240240237237237237236236235234234233234237239240241241241240240240240240240239240239240241241238236235235234233233232233233233233234235236235234234235237239239238238239237238238236235237236236234234233233231231230231231233236236237236236238237237239239239240240242242244247248249248249249249248247245245244243242240238237237237236236237239239238237238237236235234234235235236235234236235234231228226225224224223222221221220219219218217216216216216216217216216216214213213213213213212211211211210209209210208208207206206204204203202201200200199199197197197196196196196193194193193191190189190187184185183184184186188188190189190191192191194197199201199202198199200197195193192193191192191192194194195196196196196196197196195198200199201201201200199198198196193190189189190191190189188189189189190188186187187187188187186186185186185183183183182183182180181180179179180179179178179178178178178177178176176176176174173173173171173171171169170170170169171171170170171174174172173176177176176175174177182184186189190186188189190188188190190189186185181182177177177179175171170168167168170173174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240232229226224222220219217218218219220217219217216217215216217215213210207208208210215217219221219219217219219220223220222226226224226226229230230233234232232229231233239244246247247245245246246246247248249250252253256259260261261263263264265266268271272271270270268267999999999999999999258262266999999999999999999999261261262261261999999999999999999999999999999999999999999999999240240241241239238239240238237237237236237237239240241242243243242243244244244244243243242241242243240236235236234232232232233233234235235236235235235236237237239239238237237237235235234235235235235235233233232233234232233234238238239239240241242243243244244245245245246246249250252251252252251250249247245245243242242241238238238237238236238239241239238238237237236235234235235235233234233232230229227226224224223221221219219219218218216217219219218219218217217216217216216214214215214214211212212210210210209209208207206205204204204203201200200200199198198197197196196195194194193192191191188190188186182184186186183187189189190190195194196196198201201201201200201200198197196193191192192192192193193196197197198197197198197199199202201203204203202202201200199196195193192194193191190189191192191190189187187187188188188186186185184183183184184183182181183183181179179178179178178178178178178177177176175175174175174174172173172174172172170171170171173171172172173173173173172173175175176175170185184182185186187187188187187189189192191189185184183182182181179180179177173171170173172170174173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232227222221220217213211214214215217218216215212212213214215214213213212212212214214217219221222222221223220221221225225225225226226227228227226228234234232231230232235242247248249250249248248249248249250249251252253255256260260261263263264265267269271273273271270269267267999999999999999260263265270999999999999263263263262261260260261262999999999999999999999999999999999999999236237239241239241240240239238237237238238239240241241242242242243244245245245244244244244245244243243243236236235235234233233234234234235235237236236236237238238238238237237237236236236235236233234234233232232233235237237236238239240242243244245245247248249248248249250250252251251253254252253251250248247245244244243242241239239239239238239239239240239238238237236236235235235233233232231229229229228226225223223221221222219217217217218216218220220220219219218217217217217216216215215215215213213213212210211210211209209208206205204202201201201200200199199198197196196194194195193191193192191190190187187187188189188187186189190191192195196197197199201203205201202201201200199197196191192192191190191194196196198199200198199201204204202204205204203203203203202201201200199198197194194193191192192192190188187188188188189188187186185185184182183182183180181182182181179178178178178177178178177178178178175175175176176175176175174180180178178176177178177177175175174173174174173174173174173174180179178181184187186188187187187187186188189188189187187187187186184182181179177174174175175177175175176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228224220216216216213213213214214215216215215214214212213214216215216217217216216218218218220221222223225224224221223227227226226229229229227227228229233235236236237239243247249249251251251250250249249250250251252253253254256258259261261262263264267270272274273272269269268999999999999999256258261264268267999262263263263262261260260260261262261260999999999999999999999999999999999233235239244243242241241241238238237237238239242242242241243243243244245246246246245245246245245246247244239236236236235236235235235236235236236236237237238239238238239236236236235236236236234234233234233233237238242241240242243243243246248248248248250251251252252251252253253254253253253253251250249247246244243242241242241240240239240240239240240239239238237238237236236237235232232230227229229228228226224223223223221221219219218218218217217218218220218219218218219219218217217218217216216214214214214212211211212212213211210209205203202201200200200200200199199196195195194193193192193190191191190189189188190191190191192192190191196196197199200202205204203204203203202201201199197193192192191191194194196197197198199199202203203204203203204204203205205205204203204202201199198196195193193193192191189187188188187187187187186185184183183181181182181181183184183182180178178177177178179179178177178177177177178180180181178182181183186187186187187185185185186181179177176175173173175175177179183183179182189190189190190190188188187187188189188189189188188188185184182180178177175176178178177176177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228228229227220217215215214212211214214215216216216216216214214214214216217218218219218218220221221219220222224223225225223226226227226228230230229229226229231230235238240242244247250250251251251251251250249249250250251250251253255256257259260262263264265267271273274273270269269267999999999999999254256258261265265263263263264264262263261261261261262261261259258255999999999999999999999231232237242246244243241241240240239238238238240241242242243242243243244244246247246246247247247247248249247243238237237236236236236236237236236237236238236237237237236236236235237235237237239238236238240240240243245245244244244245245248249250250250251253253255256254255255257255254254255254253252249248246244244243242241242241240239239239240239239240239238238238237236236237237236234230230229228229227227223224224224223222220219219218217217218219219219216217217218219219219218217217217217218218216216216213212212211212213213212213212206201201200199199199200199198198196196194193193192192193192193191190191191191191193193194195195191198197200201201203204205201203205206205203203202200197198197192192193195195197198198199200201200201202204203204203206205204205206206206205203202197197195195194194194192191191189189189188187187187188184187183186184183183184184184185184184180179179177178178178179178177177178180180182182186187187190189190189187188188188189189189188187186187183182177176177179179181186182181186187191192190189188187188187187188190187190190189188187186184179180179180177177178178178178177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225227226226226223220219216215214215214214216216217217218220217217217218218219220220219220219223224223223225222224225223224227227228226227228231231232232229229231231229234237241245247249250251251252252252252252251250249249249250250251253256257259261262263265266268271274275273999273273272271999999999999999999255258261262262263263264263264263262262262263264263262261259256252249999999999999999228232239241244244244243243241239241241242242243243242243242242243245245245246248246247247247247249251250250246243239238236236235235235236236236236236235235235236235236236238237237239242242241242243244245246246247247247247247247248247248250251252252254255257257258259258258258258257258256254253250250247246245244244244243243242241241240240241240240240240239238237238237237236234235234232231229228227225226225225224223223220220219218217217218217220218217217216217217217218218218218218218218217217216215214213213213212212213213213212211210207203201203202201199201200198197197195195195194194194194195192191193192192192194196197198201197199199202203206205206206204204207205204205204203202201197196193193194195195199198198198199200200200201202203203201202203205205206204204204203200198196196196195195193192191191191190191190191191192193192193188186186189194189186185186186184182182181178178178178178178178180181181182182186190191191192194191190188190190192191190189188189190187187187186183181182182182184182184188190192193191190190188189189188188188189188186187188187182184180180180178179181183181180181177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226226226225225223221220218217217216218218219220220220220221220220221221221221221222221221223223224225225225225225227225227228226229228229230232234233233234233232235235236238240242246247250251251252252252252252252250250249250251251251252253255258259261262264266268269272275276275275275276276275273270999999999999999999999260261263263264265264263263263264265265264265264263261258256253248243999999229233238240244245244245244243242242243243244243245245244244244245246246247247248248248248248249251252252253250248243240237236236235236236236236237237236235235236238239241242242242244246245246247250247249250249251252252252250249249248251253255255255256256257259259260259259260258259259257255253251248248248246245244244243242243243241240241241241240240240239239239239238238236236235233233232229227227225225225225225223223221221220220218219220218218218216214214216217218219217220219218217216214214216215216215216214215214214213214214212212211208206203203202202201202201200201199202201198198199197196194194193193195197197198199200203204205205207209207208207207206206205206206205204204203202199196194193193194196197198199199199198199200200201202203202202203204204204204202201200199198197196197196196194193192193191191193194194192194196196196193192188189189195189187187186186184186183183179177179179179181182181180182185188191193194193194194191189190190195193191191192190188189190189188187186185186193193188191190191194195191192191191190189189190189188189187186187185184187181181180178179180182183181181180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228229228225225224223221219219220220220221221221222223222223222221221222223223224223223223223225225227228228228228230231230229230231232233234234234238238237240240240241242241242244245246247250251252252251252252251251250251252252253252252252253254257260262264266267268271273275277277277277278279279276272999999999999999999999999261262263265265264264264265264265265266267267267266264261260253251245234233236239243247245246245245245244245246247247246247248247247246247248249249249249250250251250251251253253253252250248244241240238238238237237238238238238239239239241244245247248247247249250248249249252253253253255256257256256256253254252256257258259258259260261262261261261260259257257257254252250249249248247246245244244244244243242241241241242241240239239239239239239239237235235234233231229229227226226225226225224223221221220219218220218217218216215216215217216219219217219217216216217218221218220221220218217218217216218218216216215212213210207206205204201202203204204203202207202204204199199200200199198200200202203205206205207208209209209208208207206204204206206206205204204202201200198195195195196196198199199199198198198198199200200200201201201203202201201200200200201200198197197196195195195193193192192193194194194193193195197192192190194194189190191193190190189190187185181179179179180181181181181181183187188190194192192193192190192192195196194194192191189192191190191191188186187192192193192192193192194192192192191190189189190190189188187186186185186185185184182179179179183183183183181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230230229226225223223222222222222222221224223224225226228227226224222222223224225226224225226228228228228229230229232230229232232234235236236236236241239240241241242243242243243244245248249251251251251250250251251251252253253254253253253252253254257260263265267268271272273274276278279280281282281277272999999999999999999999999999999999263264264264264265265265266267268269269269269265264261257249241238240242245247246247247246246247248247246246247248248248246247249250250251252252252251251252253253254255254254254254249245244243241240240240240241240240241242243246248250251253253252253253253253253254256258258259261261260260261259258258261262262262260259260263264263262261260259258257255254252251250250249247247247246246244244243242241242243242241241241241241240240239238236235234233232231228229228227227226226225224223222221221221219220218218218217218216216215215216219219219220217218219223222224221220223222221222221222220220216216213215214215213209208206202203205205205206206206207208207204205204205204205204205206206207207209210211211209208208208207205205207207207207205203205203203202199196197197198197197199200200198199199198198199200200200202201200199200198200200200201201202202201200198195195195195194192193194195192192192197196194193194191191193193190189190190189190186183182182181180181180182181182181183185186190194194194195196195194195195196196195194194192192192190190192190189190193193192192194195193193193194194194192191188189189187186185184184187187187187185183182181181182185186186184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230233231232228227224224224224223223224224224224223226228229230230229229227225224224226227227227229232233233233233234233233234234234235236237236237239240240240240242243243243242242243243245246248250250250250249250250251252254254254254254254253253253255258261265267269270271271273274277279280282283284282277271999999999999999259259999999999263265267267267266266267266267268269270270270270269268266264253246245245246248249248248247247247247248247248248248248248248249250251252252253253253252253252252253253254254255255255254254251248248247246245244244244244244246246246247251252252255255255257257257255257259260258260263263264262262264263263263264263263262263261262264264264262261259259258256255253252252251250249248248248248247246245244244244243243243243242241241243242241239237236235234233232231229228229228227226227226224223223223222222221220221220221221218220220220218217217220216220219219220221223220222219223226224226223226222223220221216216217216216213210207204205206206207209208209208209210208208206207207206206207208208209210209208211211209208208208207207207209209207208206203204204203203202201202201202201203202200199199199199199199198199200200200199199198198198198197199199200201202202202202200197194195193194195196195194194195192195195196195197195193190189190191188191191188184183182182182181181180180180180183185190193193192194195194197198196196196196194195196196193192192190191191190189194193192192192193193193193194194193191190188188187187184185184183181188188186185184187186185183184189182180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233229228229227229226224225226226226226226226226227226229230232233233232230228227226226227228229230233236236238239239238240237240239237238239239238239241241242243242242243244243242243242242243245247247250250250250250251252254255255255255255254254255256258261265267269270271271272274276278279282284285285283278999999999999265265266268270270271270270270272270269267268267268269270270271271271270269268264257249249249249250250249249248247248248248249248249250251250251252254254254255256254254254253254254253254254255255256257257256257254251250251250250250249249249249249249250251252254255256257260260260261261263265262262264266266264265265266265266265265264264264263262264264263263262260259258258254253253252250249251251249249249248247246245245245245245243244244243242244242241239237236235234233233232230230229229229228226225224225225224223223222221222222225222222223221222221223218221218220221221221222218216221225226229225226230229229227227226224222220218217215212207207208207207209210211210210210212212211211211210210209209208209210211208210208210209208209208209208209210210210208207208208208208208206205206204205206205205203201200200199199199198199201201200199198198198198198198199199199201200201203203201200197194194196197196195196194194194196195196196196197194192191191189189189192186185184183183183182182182182182182184188192193193193193196195196198197196195195195196196195195192192193191192193191193192192192189192193195192193194193191190189187186186185184183184181182183186185186186185188186186184181181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234235229230228229226227227227227226226225226227228230231233236235235235233230229228228228228229231233236238240240242243243242242242242242242242241241241242243243245244245245244243244244243244245247248249250249250251251252254256256257257256256256258260262265267269269271271272272274278280278283285286285284281999999999999269273276275273268268269268270271273273270269268269270270271272272271270268268267262253252252252251251250249249248249250250250251253254254253254256256257258259258257256255255255256254255256256257258260260259258258256254252252252252252252254253253252254254255258260259259261262263264265266266265264267268267267268267267267267267267267265265264265264265265263263262260259255255254252253251251252250251251250248247247245245245245244243243242242243243243242239235235236235234234234233232230230230229228226226226226227225224224224225224225226228227224225223224222222222225224224220221218219220224228229230229229229228228228227227223223222219218212211209209209210210210211212212211211212212212211212210211211211211213212211211209210210209210209208208209209211209208208209208208210208209208210206207207206206203202202201201201201200201202202201201201200199200199199200200201202203202202204203203201197195195195194195196198198194194195197198198197196194193191191191191190188186186185184184183183183183184184185189193192194194193194197196197197196195196195195196196195193194194193196195194193195195192193192193196193194193192192189188185185187186185185185184179182184186187187182187191191191188183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233230227228225227227226227228226226227226227228230233236237237237236236236231230230230230230230231234236239239240242243245246245243245247247244243242243244245246247247247246245245245246246247248248249249249250250250252252255257258259259260261261264265266268269270271271271271272274279281283284286287286285283281999999275278279279276276999999999267268268270273273271269269270271272272271270269269268267265258256255255253253251250250250252253252252253255257256255257258259259260261260259258256256257257256256257258260262262263262262261260259256253253254254255256255256256257259259261263263263263264265267267267266266267268269268269269269268268268266268268267266265265265265265264263261260259257256255254254253253253252252252251249248248248247247246245244244243243243243244241240237237237236237236235235234233233232232230230229229227227228227228227228228229229228228227227225227224225225227226226224225220221227229228230231230231231229229229229227225226224222219214212211210211210210209210212213212212212213213213213212212212212212211211210211210209209208207207207207206206209208208208208209208209210209210210211209208208206203202201201202201202202202204203203202201201202201200201200201201204204203202204205205203200196195195195196198199199197194195198197197195196195193193193193193193191192190189189188188187185184186186188191194194194194194195195198198195196196197198197196197196196196196195196194195195196197196196196196195196195195194191190187187187185186185185185183182181182185185186186188188192191189182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229228226226226226225225227227227228229229231233236238239239239238237237234233232232232231231233235237239239241242244246248248246246251250250244243245248249250250250249248248247248248247248249250251251251250251251251253254255257259261263264265266267268268269270271271271270272274277279283285287288288288288286285283283279279279279999999999999999999272271271272271269270270271272271269268266267267267266263258256256254254253253253254255255255255256258259259258258259260260262262262261260258258258259258258259261263264263264264264264263262260259258257257257258257258259259260262263265264265264265267268267267267267270270268269270270269268269268268269268267267266266266267266265264262261261259257257256254255254255254253253254252250249249248247246246245245245244243243243241240239238237237238238237237236236234235235234233231230229230229229229230231231231232230232229232228230227227226228227227225226226226232232232230231231231229230229228229228227227226224222216212212212212212211209209211212213213213213214214214215217212211211210211210210210210210209208206207206206206205207206208210210210211211211211211211210207207206206204205204202202203203205204204205202203203203202202202202202203206205204204204204205203201197195193195195198199198198197195197197197196195194193193193193191193192193193191192192192191189189189189190193195195194195194194196198197197197198198199198197197196196196196196196196197197196199197196198197196195193193191191191188186185188185186185183183183182185185186186188188191192188187184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225227226226225224225225226226227228229231233236238240240239237237238239239237236236236234234234235236239239240243244245248249250252253253254254251250249251254256254254253254254253252251250248250252253253252251251250251253255255256258261263264266266267268269269269269271271270271274275279282286288289291291291291289288284278279279279999999999999999999272271270270269268269271272271268266265264264265266266265261259258256255255255255256257256257257258259259259259260260262263263263263263262260260260261261260262264266266265266266266266265264264263263262260259260260260261262264263264265265264266267267267267269268268270271271272271272270269268268268268269268267267266267267267267265265263262262261258259256257255256255255255254253253252251250249247247246247246245244244243241241239240240239239239239239238237237237237237235233232232232232231231233235237234234232231230230227227227226226227226227228226228230231232232232233232231231230230229227228228227227225221216214213212212212212211211211213214215214215217215215214213212211210210210210210210210209210209206207206205205203207206208208210215213211213214210208210209208207207206206207205205205206205204203204205205204204203202202203204206205205205205204204205205204200197195194195197198199199196198196195197196195195194193193192192193193193194193194194194193192190190192193194195196195195194193195196196196197197198198198198198198198198197197197198198197197199198197198197197196195194192192192191191189188187187186185184185188188188187189191191192192192189186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227227226226225224226227229230231231234237239241240239237236236238240240239238239239238236237239240241242244246247249248250251253256257258257257255254256258258260259259258256257257256254252252253255256253252251252252253254255256257259262263265265266267269270269269269271270271273275279283287289291293294292291289287999999999999279284285287287286999269269269270270269269271271270267264262261261262265265265262259260258257256256256257258259259259259259260260261262262262262262263263263264264263262262263264265266267267267267267268268268267266266266266265264263262263262263264265265266266265267268269268267268268269270271270272271272271270270269269269269268268268268268268266267267267264261261262262261259258256255255255254255254254253252251250251249248247247246246245244243243242241240239239239239239238238240239238237237234233233232232232234235237236234235236231228228229226227227226227229229230232232230230232234231232231230230229230230229228229229228225224218214214212212212212213212212215216217216216216215214214213213212212211211210209210209208209208207206203203202204204206210210211212212212213213211211209209211210210210207208208206205206205205205205205206205203204204202204206207208207205206205205205205205204197195194195196198198199197195197195200197196196196194195196195195195196196196196195194195194193191193194197197195196196195195195195195196196197197198199199199199199199199199200200199198197197197196196197196195196194193194192192192192190186186189187189189189189190191192194194194193193193193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227225226225225224224228231233233234235238240240242241239237238238239240241241242242242243243243243244246248249251252252251252251253256259261262262262262261262262262263262261260261261259256254254255256256256254253253252253255255255258259260263264265265266268269269269270271272272274276281284288290292294294292291289287999999999999278280282284282281999267266267267267266269270269268264262260259259261264265264262261260260259258258258259260260260260262262262262262263262262263263264265265265266266265264265266267268268269269269269270271271270270270269268268268267267266265266266267268268269267268268269269269271269270270271271272272273272270270270270270271270269268269269268268267266265267264265263262262261259258256257256255256257253253254252252252250249248248248248246245245244244242241240240239239239238238240240237237237236235234234234235235238240239236235234231229228230230227228228229228230231231230230231232232231231232231230229229229228229230229229227226221217215214213213214215215215217218217217217216216216214214213212212211212211210208208208208208207205203203204203205206207212211212212215215215214213212211210210212212211210208208208206204204204205205205205205205204204205207208208209208207207207207207204204200196194195197198199200199198197198198197197196196194195198198199199201201202201198197196195194193194195197198198197197196196195195195195194196197197199199201201200200201201202202202200199197197198196196195196195193192195194193193192192189191186190188188189190191195194194195198197197196195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222220224226223223225229233233235236238240241242241241240239239240241242243244247247246246247247248249252253254254255255255255254254256258261263263264264265266266265265266266265266265263259256256256258258257256254252252254256256257257259260262264264265267268270271272273274276276278280283286289290293295294292291289286999999999999277279999279277999999266265265267265266269269268266264261261260259259262265265264262261261261260259259260261261262263264263263263263263263264265266267268269269269267267267266267268269270270271272271272272272272272272271271271270270269269268268267268269269270269269269268270269270270270271272273273274273273272272271270271271271270269269268268269269268266266265264265264264263262260258257258256257257256255255255254253254251252249250250249248247246246245244243243242241241240239240239238238237238237236236236236238240240239236235235233231230231232231235234231230231230230230231231232232232229231231231230230230230230229230231230228222220218214214215214214216215218218216216216216215215215215214212212211211211211209208208208208207207206206205205203203210211208212213214215215213212214212210211210212213212211211208208206205206206206206207207205205205205206208209209209207207208209208206206205201196196196197199199199198198196195197196196198199199201202202205206205205204203202201198197196196196196198198198198197196197195194194195195195197199199200201201201202202202202202202200199198198197196197195196196192189194195195195194193190188187188188189189195196197198199197198199195199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269270268266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219221222225226225230233236236237239240242242243242243243242241242243245247247248249249249249250251253255255255256256256258258257257257259261263265265266267267268268267267268266267265265262258257258261261260257255254253255256256257259260261262264264266268271272274276278280281282283284287289289292294295294292290287285999999999999999999999999999999999264265264266264265268268267265262261259259259258261265265262262261261261260259259260261262263264264264264264264263264265266268270271271271271270269268268269270271271271272272273273273274273274273273273272272272272273272270270270270270270270270270270270271270270271271272273274274274274274274273272271272272272270271270270270269269269268268266264266264263263261261259260259259258259258257257256256256254254252252252253252252251251250249249248246247245244243242241240240239239238239239238238239241243242240238235234233232232235237235234233232231229232230231232231231231229232231230231230230231230230231229229228225224223219216214214215216214217217217216215216217216216214214213212212212211211210209209209210210211211212211212211210211213210210214212215216216215215214213212213214213213213212211209206206205206207207206206206205206206206209209210210210208209208208206206203202200195197195197196195194195196195197198200201201201202206207208207207207207205205204202201200200199199199199198199198197197196196196197197196196198200200201201202201202202202202201199199200199197199197197195197196194196197196196196195193192187189189190193194197199199200200198197199197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269269270270269268265266267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219216220223221223224228223232235237237238240243244243243242243245243243244244246248248250251251251252252254255256255256259259260260260260261262263264265267268268269268270270269268269269269268264263261261262265264263262260259260259258259260261263263265268273274275278280282283284285286287288288289290292293294296295290999999999999999999999999999999999999999999260262263264263265268267265263261260259258258258260263264262262262261262261259259260261262263263264264264265264264265266268270272273273273273272271270269270271272272273273273274275274275275275274274274274273273274274274272272272271271271271271271270271271271271272272273273274275275275275275274273272271272272272271271271271271270270269270269268266265264264263262260260260260260261260259259259259258257256255255255256255255254254255253253253253253253251249247245242241240239239239239239239240244245244241239238236236234235236237236234234233233231232231231232232231230230231231230230231230230231230230230231227228226223221219216216216216215216216217216215215216216216215214213213213213212212211211211210212212213215217217217217217217217216215215213213215218218216216216215214214213214215213211210209208208207207208207206206206206207208210211211211210211209207206206204204203202198198197197197193192196197196201203202202202205206207208210210209209208207209206205206202202201200198199198198197197197197197197197197198196198200201201202202202202202201201200201200201201200200199196195198196195196198195195195194194188190190191195197197199200203202201201200199198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267267268268269270270269267268267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214218219215221221222225225228231233237237238239243244244242241240241244244245246246247248250252254255255256255254255255257258261262262262264264265265267267267269270270272273273272271271271272272271269267266266264266267267267266268267267267267267270272273275277279281283284285286286287288288288289291292293293293294296295999999999999999999999999999999999999999999999261260261262262264267266264262261259258257257258260263264262262262261261260259259260261262263263264264265265265266267269270271273274275276274274273272271272273274274274274275276276276276276276276276276275275274274275274274274273273273273273273272272272272272272273273273273274275276276275275275275274274273274273273272272272272271270269270270269268267267266266265263262262261261262261262262261260260258258257257257258257257256256256257257257257256256255254253250246243241241241241240240241241243245245244241241240238237237236238237236236236234233232233232234232232230230230230229230230230231230229230229228227227227223223220218217218217215215216216217216216216216217215215214214213213213212212211212212212213217218219221221222222221220220220218216217217218217219219217214215215215213213211210210211209209207206207207206206206207208208208210212211211211210209206205205204202202200198197195197197196197200201202202204206209209210209210213212211210211210210210208207204202200199199200200199199199198198197197197199199197198200201200202202202202202202203202202202202202201201202200197196197197196194196195194193194194194194197198199200200201204203203203203203202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267265265265267267268268269269268269267268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216219221214215222222224226231229235237238238241243244243241241240240244246246246248250252255257257258258259259257255256259261262263265265266267267269269271272271272272273275275274274274274275274275274272272271268268267270271271272273274275276278278279281282282284285287287288288289290291291291292293294294294294295297298297999999999999999999999999999999999999999999999999260261261263266265264262260259258257258258262265264262262262262262261260260261262262263263264264265265266268269270272273274275276277276275274274272272273274274275275276277277277277278277277277277277277277276277277276276275275275274274274273274273273272273273273274274274275275276276275275276276276275274273273273273272272273272271270270269269268267266266265265264264264263263263263263263262261261260260259259259258259259258259260261260259258257256256255252250246244243242241240241241241241245246245243243242240238237237238238236238238237236235235233233232233232232232231230230229230230230229230229229228227226224224221220220218218215216216217217217216216216216216216216215214214214214213213213212213215219222223225225224224225224223224222220220220220220220220217215216214216213211211211212212210209208208207208208208206207207207208210212211211211211211209207206206203203202201199197200198198201201203205204205210211212211211214215212214213213213212211211210207204202201201201201200201200200200199198198199199201199199202202202202204204202203204204203203203202202202202201200198197196197197198197197196196196196199200200201201202204205204204204204204202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269265264263263264264266267267267268268269271269273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216215218221218217221225225227232230234234234239240241243244244241240241241242246246247250253256257257256256256259258258258259259262263264266267267269270270271273272272273273274274274275275275276276276276276276274275274273271272274275277278279280281282282283284285286287288289289289290290291291292292293293294294294295296298299298999999999999999999999999999999999999999999999999999259259262264264263262260259259258259259264267266264264264264263263262262262262263263263263264265266268268270271272274276277277278278277275275274272273274275275276276277277278278278278277278278278278278278278278278278277277277276276275274274274274273273274274275275275275275276277276276277277276275275275274274274273272273273273272271270270269268267266267266265267266265265264264265264263265262261262261261260259260260261261262261260257258257256256255255252250246244243242242241241242242244247247246245244242240239238237238238238237237236236235234233234233232232231231230230230230231231230231231231229228228227224223222221220218216216217216217217216217216216216217217216215215215215215214214215216223224224225225225226225224225226225224225225223222218218218220217215215217215213211210212212211210209209209209210208207208208208209211212211212211212213212210210211209207205204202200201205204205207208208209210210212212213214217218218218217217217216215214212210208205205203202202202202201202201200200198200199202200200201203204203203204204205204204202202203202202202202202201199197197198200200199198198198200200200201201201202203205205206205205205206205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266264262261261262263264265265265266266268269270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221218216212219221219223225225227231233232234235235240240242244244245242240241242244246248249252254257259258256254253254256258260260261263264266267268269270270271272273274273274274274274275275276276276276277277277278277277277276276277278278280281281282282283284285286287287287288288289289289290290291292292293293294294294296299300300299999999999999999999999999999999999999999999999999999999257260261262263262261260259259259261265268268267266265265265264264263263263262263263264264265266268269271272274276278279280281280279277275274273274275275276277277277278278278278278278279279280280280280279280279279279279279278278278277276275275274274274276276276276276276277277277278278278277277277276275275275274274274274273273272271271270269269268268267267267267267266264265266265265264264263263262261261262262263262263263261259258258257256257256256255253249246244243243242242241242244246248247246245245243241239239239237238238237236237236235235234234233232232232232232231231231231230231231231230229229227226224223222221220219217218216218217216217217216217217217216216216216216216216216217220223224225226226226226227227227227226227228226227226225224222223219219217217215212211211212212212210210210211211210209207207208208209210211212214213212212212212214214214211211209208207206206208209211210212214214215216215216217219220222221220220219218217216215214212209207205203203203204203204203202201201202200200200201202203204204202205205206205204204204203203202203203202202202200199199201201201202202201202202203203203203203204205206206207206207207206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263261261261261260260262264264264264264265266266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224220219219219221223225226227228229230232232234235237239239241243245247246243243245246247249251254257259261260257255253254258258262263263264266267268269269269270271273274274274274274275275275275276275275274275277278278278278278278279279280280281281282283284285286287287287287288288289289290290291290291292293293294294295296298300301300300999999999999999999999999999999999999999999999999999999252257259261263263262261260260261264267269270269268268268268269268268268267265265264265265266267269271273275277279281282282283283282280277276274274275276277277277277278278279279279279280280281281281281281281280280280280280279279279279278277276276276276276276276276277277277277278279277278278278277276277276275274274275275274273272272272271270270269269268268267267269267265265265265266266265265264263263262264265264264263263262262261260258257256256257256254250248245244244244243243243245246247249248245245245244241240238239238238236237237236236235235233233233233233232232232232232233231231232231231231228228227226225224223222219217218217217218217217217216217217217217217218217217216216220221224225227227227227227227228229228229229228228228226227227228226224220220221217215212211212212211212211211210211211211209207209209209210210212214214215214213212213213216216219218216216214214211213213213213217218217217217218218220221221222223223221221218219218217216214212209207206205205205204204203203202202203202202202202202205206203204205205205205206205204204204204204204204203203202200200200201201202203203205205205206205204205205206208208207206207207207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265263261259260260260260260261262263262262263264265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224223222220218223224224228231232231231232232233234235235236238240243245248249246245246247248252255257259261262262258257256255257259261262264267267269269268269270269272274275274274274275275276276277276275275274275276277278278279279279280281281281282283285286287287287288288288288288289289290290290291291292292293293293294296297299301301301300999999999999999999999999999999999999999999999999999999999255258260263264263262261261263267269270270270270270271271270270269269268268268268268268269271272274276278280282282283283284284283283281278276275276276277278278279279279279279280280280281282282282281281280280280280280280281280280279279278277278277277276276277277277278279278278279278279278278277277277276275275274275274273273273273272272271271270270270269268269269267267266266266267266266265265265265264266266266265264263263263262263261258256256257256255252248246246245245244244244245245247249250248246245245244243241240239239239238237236236235235234234234234234234234234233233233232232231231231230231229228227226226224224222217218218218217217217218217218218218218218218218218221223225227228229229230229228229227229230230230229229229228228229227229228226226224224220219213211211209211211212212209208209208210210209208211211212212214215215214214214213214216218220222222221219218217219219221218218217216219219221222221223223224222221220221220219219219217215213210210209208207205205205205206206206206206204204203205204205203203205205206206206206205206206205204205205204204204203202202202202204204206208206205205206206206206207206205206207208208210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263262261259258257259261260260258258258258259258260264265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227227226226227223228225223225231234235231232233235236237236237239242243244246248251251251251252254258260261262263263264263261260259259261262264266267267268268268269270270272275275275275275276276277278277276276276276276277277278279280280280280280281282284286287288288288289289289289289289289290290291291292292292293293293294295297298300301300300300999999999999999999999999999999999999999999999999999999999252256260263264263263262263266268269271271271271271271270268268268269269269269270271272273274276277279281282283283283284284285284284283281280278278277277277277279278279280280280281281282282282282282282281280280280280280280280280280279279278277278277276277278278278278277278278278279279279278277277277276275275274274274274274273272272272272271272271271270269269268267267266267267267267267266266266265266266267266266265265264263263263261261258258259258257255250247247247247245246246245246247249251250249248247246246244243242241240240239237236235235235235235236236235236236234234234234233233232232231230230230230230227226225223221220219219218218218218218219219219218218219220222226228229230229229229230229229229229230231231232231230230230229229229229229228227227227223221213213211210210210212211211209209211210210211212213214214214214216216215216214214214215219221222224225224223223221222222221220219219219222222223224225226226223224222220220219219219218216215212211209207207207207207206206206207208207207206204204204202204203206204205205207207207207207207207207206205204204204204204204204204206207206206205207206206206206207207207207207210211210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266263261259259258258259260260260260259257256255254256258261263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244242239236231230229228229228230229227227231231232232233230236237239241242242244245245246248249251255257258260261261262263264264265265265265265264264265266266267267268268268268269270271272275276276276277277278278278278278277278278278278279279279279280279280281283285287288290290290290290290290291290290291291292293293293293293293294294295297298300301301300999999999999999999999999999999999999999999999999999999999999999999256259263265264264264265267269270271271271272271268267267268269269270270271271273274276277279280281282283284284284284284285285285285283282281281280279277279279279279280280281282282282282282282282281280280279279279279279280279279280279279278278277277278277277277278278278279279280279279278278277277276275274274274275274274273273273273273273273272272271270269267268267267267267267268267267267266266266267267268267266265265264264264263262260259259260259257251249249249248247248248247247247248251253251250248248248247246244243242242241239237236235236236236237236236237235235234235234233232231232232230230231230229228227226224224223221220219220219219219219219219219220224225228230230230230230230231231230230230231231232232233232232232232231231230231230230230229229227221217215213208208211212211210210211215217218217216217217217218217217217216216215215215216219226224224225227226226223224224224221220220221223223223225225226227226224223221221220220220219218217215213213210210209209208208207208208209208208208207205203204205207207206205206206207208208208208208208209207206204204205205204206206206206207206206206206207206207208208207209210210210211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268266264263262261260260262262262261259258256254252250254257999999999999999999999999999999999999999999999999999999999999999999999999999999250253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250249245240237238235232232231229230231233233235232232233236236235238242244245245246246247248250250251252254258260262263264263264264265265265265265265266267268269270271271272272272271270270271273275277278278279279279279279280280280280281281281281281281280280281282284285287289290290291291291291292293292292292292293295295295294294294295294295296297299300302303303302301999999999999999999999999999999999999999999999999999999999999256260264266265265265266268269270270271272272270268269269270271271272273274275276276278279280281282283284284285285285286286286286285285284284282281280279279279279279280280281282282283283282282281281280280280279280280279279280280279279280279279279278279278278277278278279279279280279280279279279278277276276275276275274274274274273272273272272273272271270269268269268267268267267268268268267267267268268268268267267266266265264263263262262262261260261260255253251250250248249248248248248248250253254253250249248249247246246244243241241239238238237236235236236237237236235235235234234232233232231231231231230230230228227226225224224223222222221220221220220220222227229230230231231232231231231232232232232231231232232232233232231233232232232232233232231229230225226226218213214213209212212215217217217219219220221222222222221220220219220218218219219218219222223225228227228228227224225224222221222222223224225225226227228228226225224223223221220220219218217216214212211211211210210209209210209209210211210209207206205208208207206207207207208207208208209210209209209207206206205206207206205205206207206206207208207207208209211209210210211212212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272269267267265265265264264264265264263262261258255250250250254999999999999999999999999999999999999999999999999999999269268266264267267266266267260260264268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250252252246242239239239236235234231230233236236236236236237237237239243243244246247248248250251252251251253255258261263264264264264265265264264266267269270271273274274275275275275275274274273273274276278279279279280281281281282282283283283283283284283283283282282283285286288289290291291292293293294294294294293295295296296296296295295295295295297298298300302303304303302299999999999999999999999999999999999999999999999999999999999257262264266266266266266267269269270271272272271271273276278279278278278278278278279279280281281282284285285285285286286287287286286285286285284282281281281280280280281281282283283282282283281281281281280280280280280280280279279279279280280280278279279279279279279279279279280280281280279279279279277277276276275275274275275275274273273273272272272271271270270269269268268268268269268268268268268268268268268268268267266266265264264264263262262260260260259256254253253252250250251249249249250251253253253251250249249248246245244243243241240238237237236237237238237237236236236236235235233232232232232231231231229229229228227226225224223222222221221221224227229231231230230231231231230231232231231231232232232232231231232232232231234233232231230232231230229228227224218216216214213214217218218219219220222223222222224226227225225226225224224222225225222224225228229230229226226224225224222222223223223224226227227227227228226226226224223223222221219219219217214212213212211211211210215215216213214212211210208207206206208207207207207208209209209209209210210209210210209208208207206206206206206207208207207208208208209212212212212212213213213 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275272267266267267266267267266266266265264263261258252248247251255266999999999999999999999999999999999999999999999267267267267266265264264264264263263263265266999271274999999999999999999999999999999999999999999999999999999999999999999999999999999250253253251244242239240239238237234232233235239238237239238240239239240242243245246247247249250251252251252253255258261263264264265265265264264266268270272274275276276276276276276276276276276276276276276278279279280281281282283283283284284284285285285285285285285284284286287288290290291292292293295295295295295295297297296297297297297296296296297297298298300302303304304303301999999999999999999999999999999999999999999999999999999999256262264266266267268269270271272273274275276277279281283283283284283283283283283283283283283283284284285286286286286287287287287287286286285285283281281282281280281281282282282283283282282281281281280280280280279279279279279280279280280281280280280279279279278279279279279280280281280280279279278278277276276276275274274275275274273273273273272272271271271270269269269268268269269269269268268268268268269269269268267267267267267266266265265265263263262260260259258256256254254253251251250250251252252253253252250249249248247246245244242241241238238237237237237236237236236236235235234234233233233231231231230230230229229228227226224224222222222222225229231230230230230231229231229230230231230231231231232232232232232232231232231232232231231230231231230229229225223220217216216218218220221221221220222223224226226228229230230230230230229229228228228226227229228229227229228227226225224223222223223224224225226228228228229228228227227227225222220219220219218217215214214213212214214214216217216215213212212209208209207207207205207208209210210210210210210210211211211210210209209209207208209207206207206205206208209211212213213214214215215215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272268265265266267267267267266268267266264262261258253249251999999999999999999999999999999999999999999999266264264263265265265263261259259259260261261261262264266268270269269999263999999999999999999999999999999999999999999999999999999999999999999999252252247242240240240241237237233234237240240240239240240239239239241243244247248248250251250251251252254255257259262264266265265265264265267269271274275276277277277277277277277277277277277277277277277279280280281281281282283283284284284285285285285285285285285285286287288289290291292292293294296296297297297297298298298298298298298298298298298298299299300301303304304303302999999999999999999999999999999999999999999999999999999999999261265268270271272273274275276278280281282283283284285285285284284284284284284285285285285286286286287287287287287288288288288287286285285284283281282281281281282282282282283282282283282282281281280280280280280279279279280280279279280280281281280280279280278279279279279280280280279279279279279278277277277276276275274275275275274273273273272272272272271270270270270269268269269269269268269268269269269269269269269268268268268268267267267266266266265265264263263260259259258257255253252251252252252253254254251250250249248247246245244242243240239239239238237237236236237236236236234234234233233232232231230231230230229229228226225224223222223227230232233233231231230229230230229229229230230230229230231232232232233232231231232233234231230230231230230228226228225221217218218220221221221221222222222224225228231230233232232234233233233232232232231232232232230230229229230229227226224223222223223224225225225227228228229230230230230230228225223222219220220220218216216214214215215215214215216215215215212213212210208207207207208209210211210212211210210211211211212213212212212211212211210210210210208208210212213214213214215214216216217217 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267262262264265266267267267267267267266263260259256253248251999275999999999999999999999999999999999268266262259257260263262261259259258256255255255255255257259262264266268268266264999999999999999999999999999999999999999999999999999999999999999999250253252246242240242241239237237238238239240241241240240240241242242244246247248250249249249251251252253254256258260262264266267265265266267268272275276277277277278278278277278278278278278278279279278278279280281281282282282283283284284284285285285285286285285286286287288289290290291292293293295296297298299299299299299298299299300300299299299298297298299300302303305304303302999999999999999999999999999999999999999999999999999999999256262267271273274275275277279281283284284284284285285285285285285285285285285285285286286286286286287288288288289289289289289288288287286286284283282281281281282282283283283283283283283282282281281281280280280279279278280280280279279280280281281280280280280279279279279279280280280279279279280279279278277277276276275275275275274275275274274274274274273272272271271270269269270270269269269269269269269269269270269269269269269269270269269269269268269269268267267267266263263262262259257255253253253253253254255254251251249248248247246244245244243243242241240240238238238238238238237236235235235234234234233232231231230229229228227226225224226229232233233233233233231230228227227229230230230230230230230230231232232232232231231232232232232232231231231230229227229224220219219219221221222222221222222224225228232232234235235236236237236236235234234233234234232232231232231231230229228226225223223224223224223226227228229229230231231231231231231229228224221221222219217217216216216216216216216217217217216216215213211210209208208208210210211211212212211212212212212213213214214213213213213214214212212212214214215215215214215215216217216219218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267262261261264265266266267268267266264263260258255253250247245249263274273272999999999999999266264263259255255256257261262261263263263261256253253251251252254256258259262264264264265266999999999999999999999999999999999999999999999999999999999999258257253250245243241244244243241239239240241240242242241241241243246246247248249249251249251252253252253254256257259261264265267267266267267269272274276277277278278278279278278278278278279279279279279279279280281281281282282282283284285285285285285285286286286286287288288288289290290291292293294295297298299299299299299299299300301301302301300300299298299300302302303305305304999999999999999999999999999999999999999999999999999999999256255264269272275276277279281282283284285284284285285285285285285286286286286286286287287287287287288288289288288289289290290290289288288287286285284282282283282283283283283283283283284283283282282281281281280280279279279279279279279280280280281281280280280280280280280280280280281281280279279279279279279278277277276276275274275276276275275275275275275274273274273272271270270270269269269269269269269270269269269270270270270270270271271271270270269269269269269270269267267267266265263261259257256255255255255255255252251250249248248247246246247246245244244243242243243241239239238238237236236234234234233233232231230230230229229228227227229232233234234233233233231230229229229228228229230230229229229230230231231232232232231232231232233232232232232231229229229228224220219219220222222223223223224223225228231234235236235237237237236236237237235235234235233232233233233232232231230230229228224224223224224224224227229231230230232232232232232232231229228224220221219219219217217218217216215217218218217218217216215213211210209209209211211211213213214214214214214213213214215215214214213215215216215215215215216216216216216216216218219219218218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265262262262264265265266266267267265264261261258255253251249248248251258266274999999999999999262260259255253248255258261262264265266266265264261258254252250250251251252254257259260260263265999999999999999999999999999999999999999999999999999999999999260258254251246244242243243242240241241241242242243242241241245247248248248248249250251252254255255255255256256257259262264265267266266267268270274275276277278278278278279279279279278278279279279280280279279280281281281282283283284284285285285286286286286287287287288289289289289290290291292293295296297299299300299299299300300301301302302302302301300300301301302303303304305999999999999999999999999999999999999999999999999999999999999252259266270274277278279280281282283284284285285285286286286287287287287287287288288288288288288288289289289289289289290290290289289288288287286285284284283283283283283284283284284284283284283283282281281281280280280279279279279280280280280280280280280281280281281280281281281281281280281281279280279279278279278278278277276275275276276277277276276276276275275275274273272271270269270270270270269269270270270269270270270270271271271272271270270270269269268268268267267267268268268267267266264261259258258257256255255253252249250249249248247247247246246245245245244245245245244242241238237237236235234234233232232231231230230230230230230232233234235235233234234232230229229229229230230229229230230229229230230230230230231232232232231233233233232233232231230230230229225221220220222223223223223224223224228233235236237238238237236236237237237237236236236234234234234234233233234233232232231230228226224224224224224227228230231231232233233233233233230231230228227229223222222223221220218216217218218218220220220218216216214212211211211211212212213213214214214214214216216217217216216216217215217217216216217217216217218218217215216217218219219218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280279999999999999999278999999268264263262262263264266267271268266265263262259257255253252251250249250257263268999999999999999260261258256254254257259261262263265268268269268267264262259255251248247247247250250252254257261999999999999999999999999999999999999999999999999999999999999999999999254253249246242242243240239240242242243243243243243244247248249249249249251251254255256257257257258258257258259262264265266267267267268272275276277278278278279279280280280279279279278279279280281280280281281282282282283284284285286286286286287287287288288288288289290290290290291291292293295296298299300300300300300300300301301302302302302301301301301302303303304303304999999999999999999999999999999999999999999999999999999999999252261268272275278279280281282283283284285286286286286287287288288288288288289289289289289289289289289290290290290290290290291290289289288287287286285285284283283283283284284284285284284284283283283282282281280280280280280280280280280280280281280281281281281281281281280281281281281281281281280280279279279280279278278277277277276277277276277277277276276275275276275274273272272270270270269270270269268269269269270270270271271272271271271270269269268268267267266266266266267266267269268268266264264261260260258256256255253251251250250249248247248247247247247247246246246246246246244242241238237235234234234233233232232231231231232233234235236236236235234234232230230229230230230230230230230230230230229230230231230230230232232232231232233232233233232231230230230230226223221220222224224223224223224228232235237237237238237237237238238238237237237237238236235235235234234234234233232233232231231229226225224225226226228229230231232232233234234234233233231226228231227228231230228227225223222221219222221221222220219217216215213211210211212212213214215215215216216216216217216217218217218218219219218219220219220220220219221217217217219220220220 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279278277999999281277274271268264264263263263264265266268271268264264262261258255253252250249249251255260268999999999999999255257260257256257257257260260260260266268268268268267266264260258255249245242243245245248252257263999999999999999999999999999999999999999999999999999999999999999999999999999250245241241241242242241242245244244244244246247249249251250251252253255256257258258258259259259259259259261263264266267267267268272275276277278279280280281281281281280280280279279280280280280280281282282282283284284285285286286287287287288288289289288289289290290290291292292293294295297298299300301301301300300301301301301302302302301301301302303303303303303302999999999999999999999999999999999999999999999999999999999251255264270273276279280280281282283283285286287287287287288288289289289290290290290290290290290290290290290290290291291291291291291290288288287287287286286285284284284284285284284285285284284284283284283282282281281280280280280280280280279280280280280281281280281281281281281280280281281280281280280280279279279279278277277277277277277277277277278277276276276276276276275273273273271270270270269269269269269269270269270270271272272271270269269269268268267267267266266266266266266266266267268269267267265263262261259257257255253252251251250249249248248248248248248248247248248247247246246244242239237236235234233233233232231232234235235236236237236237236236234232231230230231231230230230230230230230230229230230230230231231231232232232233233233233233232231230230230230229226223222222223224224223227231234236237237236237236237238239239238238238238237238238237235235235235234234235234233234234234233232229228225226226226228229229231233233233235234234234233232233231235232233234234231233233231230228224223225222221221221221218217215213212211212212213214214214214215216217217217216217217216218219218220220220221219220221221221221220220220222220221222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278277275274272271270267267265264264264264265264264263265269267266264264263260257253251250246245248252999999999999999253253253255257257258260261261261259260261264266267267267267266267264261260255250246239240242244249256263999999999999999999999999999999999999999999999999999999999999999999999999999999999247245241241241242244243243245245246247248250251252252250253253255257258257258258259260260260260260260260261263264265266266267270274276277278279280280281282282281280280280279279280281280280281282282283283284285285285286286287288287288288288288288288288289290290291291292292293295296297298299300301301301300300301301301301302302302301301302303303303303303302999999999999999999999999999999999999999999999999999999999252255262266272274276278280281282282282284286287287287288288289289290290291291291291290290290291290290290291290291291291291292292292291290289288287287287286286285284284285285285285284286285284284285284284283283282282281281280280280280280279280280281281281281281281281281281281280280281281281282281281280280279280280279279279279278277277277278278279279279278278278278278278277276276275273271271270270270270269270270270271271271272273271270270270269268268267267267266266266265266266267266266267267268269269268267264263261259258257255253252251251250251250249249249249249248248248248247247247247247246244239238236235234234233233234234236236236237237238237236236236234233232232231230231231231230231231230230230230230230230230231231231232232232233233233233233232230230230230230230228225221221223224226229233235236237237237237237237238238239238239239238238238237237236236236235235235235234235234234234234233234232230228227227227229230231232233234235235236237237238238240237236235237236236236236235233232232230228227225224223224222221219217216213212212213213213213213213214215217218216215216216217219220220221222221222220221221221221223223225223223222222224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274279280278275272269267264264264265264264263264265264264267267266265265265264262259255252250250248247242999999999999999999253254256257259262265266266265264264264265266266266265265264264265264263261257253247238239242246253260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242241241243245244243244246248248250251252252252252253255256257257258258259259260261262261261261260260262264265265265267269274276278278279279280282282282281280280280280280281281281280282282283284284285285285286286288288288288288287288288288288289289290291291292292292293295296297298299300301301301301300301301301301301301301302303303304303303303302300999999999999999999999999999999999999999999999999999999253256260264269273275276279281282282281283286287287287288288289289290291292292291291291291290291291291291291291291291291291291292292292291290289288288287287286286285285284285286286285285285286285285285285285284284283283282282282281281281281281281281280280280280280281282281281281280281281281281281282281281281280280280280280279279278278278279280280280280280280280281280280280279278278277275274273272271270270269270270270271271272273272271271269269268268267267266266266266265265265265266266266267267267267270269268267265263262260258258255253253252252252251250249248249248248247248247247247247247248248247245241238236236234234234236236236236237237238238238237236236235233231231230230230230231231231231231231231230230230230231232231231232231233233234234232232232231230230229231230228225224224226229232234236237238237236237237237238239239239239239238238238238238237237237237235235234234234234234234235234233234233232231229228227228229231233234235236236237239240240240239239237239239238238238237236236236236234232231230227224224223221221218217215213212213213213213212212212215216215215216215217219221222222221223223222221221221221222223223225226225225224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277279279279277273270266264265266266264264264263264264264266266265264264265263261260255252251251250250249249255256256257259259260262263265266267267267267267266266265266265265265265265263262262263261258252246238237243248255261265269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241240241243246246246247248249251251252252252253253256258258259258258259260261262262262262261261262262262263263265266268273276277279279279280282282283283281281280280281281281281281282283284284285286286286287288289289289288288288288288288288289290291291292292292292293295296297299299300300301300301301301301301301300300301303304304304304303302301999999999999999999999999999999999999999999999999999999999255259263267271274277279280280280280283286287287287288288289290290291292292292291291291290291291291291291291291291291292292292292292292292291289288287287287286286286285285285286286286286286286286286286286285285284284283283283282282282282282282281281281280280280280282281281281280281281281281281282282282281281280281280279280279279279279280280280281281281282282282282281280280279278278278277276275273273272271270270270271272273273273272270270269269268268267267266266266266266266266266266266267266267268267268269270268267264263261261258257256254254253252251250249249249249248248248247248247248248248248248247245242238236235234235235235236236237237238238238238237236235233231231231231231231231232231231230231231230231231231231232231231232232232233233233232231232231231230230230228226225225228232234236237238239238236237237237238239240239239239239238238238238238237236237236235235235234234234234234234234234234234233232230228228230231232233234236237239239240240240239240240239239239237238238237238237236237236236234233230229226226225224221219217215212213213212214213212212213215216215215216217218221222221223224225223222223223223223224224223225224224222223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276278279280280278276274273271271271270267266267265264264265266266264264264263261259257255253251251251252254255258262264265265266266266266266268268268268267267266266266267267267267267266265264264262261256251244237236241248253260267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239243245247246248248249250251252252252251252256259258259258257259260262263263263263262262262263263262263264265268272276277279279280280282283283283283281281281282282282282282284284285286286287286287288289289289289288288288288289289289290291291291292292293293294295296297298299300300300301301301301301301301301301302303304304304304303302999999999999999999999999999999999999999999999999999999999255259263266270273275277278278279280282284286287287288288288289291291291292292292291291291290290291290291291291291291291292292292292292292292291289288287288287286286286285285286286286286287287286287286286286286286285285284283283283282282282281281282281281281280281281281281281281281281281282281281282281281281282282282280280279279279279280281281282282284283283283282281280280279278278278277277277276275274273272271271271272273274274273271270270269269268268267267266266266266266266265265265266267266267266267267268268268268266265263261260258257255255254253252251249249250249250249249249250250250248248248248248247244241239236235235235236235236237238238239238238237236236234232231230231231232232231231231231231231230231231232232232231232233233233232232232231231231231230230229227226226228231234235237238239240239238238238238238238239241240241239238237237237238238237237237237236235235234234234234234234234234233234235233231229228229231232233235236238238239239239240240241241240240239238238238238238238238238237237236234234232229228226226222220218216215213214213214213213213213214214214216217216219220221224225223226225224225225225226225225225225225225224222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279281280279279277275274273272270269268266267265265266266266265264264262261259257255254251251251252255259263267269270269269269268267267268268267267266266266265266268268268268268267265263263263260256252243237235237246250262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238241245244247248249250249251252252251251253256260258258258258260262262263263263263262262262262262263263263265267270275277279280280281282283284284284283282282282282282282282284285286286286287287288289289289289288288289289289289290290291291292292292292293293294295296298299299299300301301301301301301301302302303303304304304304303302302999999999999999999999999999999999999999999999999999999999255262266269271274275275277278280281283286287287287288288289290291291292292292291291291290290290290290291291291291291291292292292292292293292291289288287287287286286286286286287287286286287287287287287287286286286286285285284284283283282282282282282281281281281281281281281281281281282281282281281281281281281283283282281281280280280281281282283283284284283283281280280279278278277276276276276276275276275274274273272273273274275275272270270269269269269267267266266266266266266266266265265266266266267267267267267267267268267265264262261259258257256255254254253253252251251251251251251251250249249249249249249248247245242238236235236236236235237238239240240239237237237236233232232231232231232232232232232231231231232232232232232232233233232232232232231231231231231229229228228229230232234235237239240240239238237238238237237239239239240238238238238238238238238238237237236236235235235235234234234234235234234235235233232230229230231231233235237238239239240240240241241241240240239238237238238238238238238238237237236235234231229230228225222220218216213213214213213213214213213213214216216218220222223224224225225226226228227226227227226226226225225223222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275278282282281282281279277275274272269268267267266266266266266264263263263262260257255254253251250252256260266269271271270270270270269268268267267267267267266267267268269269269268266263262262261260254249240234233236243999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238244245246248248249250251252251251251252255260260258257258260261262263263264263263264262263263263264265266268271275278279280279281283284284285285285285284283283284284283284285286286286287288289289290290289289289289289289290291291291292292292292293293294295296296298299299299300301301301301301301302302303303304304304304304303302999999999999999999999999999999999999999999999999999999999999254260268271274275276277278279281283285287287287288288289290291291291292292291291291290290290290291290291291291291291291292292292293293293292290289288288288287287286286287287287288287287287287288287288287287287287287286285285285284283283283282282282282282281282282282281281282282282282282282282281281281282283283283282282282282282282281283284284283284283282282280279277277277276275274275274274274275275275275275274274274274274275274271271270269269269269268268267266266266266266266266266266266266266267267267267268267268268268267265265263260259259257256257257256256256255255254254253253252251251250251251250250249249248246242238237236236236237238239240240239239238238238237235234233232232232231232233233232231231231233232232232232232232233232232231231230231230230231229229229230231233235237238239239240239239237238239238238238240240239239241239239238237237238238238237237237236236235235235235234234234234234234234235234233231230230231232234236237239239239240241241241241241240239239238238239239238238238238238238238237236235233232231230228225222220218215213214214214215214214214214214216217219222224224226227226227228229229230229228228228226227226225224224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281285284284282281280279279278276272269266266266266265264264263263262262261261260257256254252249250255259263267270270270271271270270269269268267267267267267267268268269269269267267264263263263261259250242237232239244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236239243246247248249249250251251252252252255259260259258259259261261261262263264264264264263264264265266267269270273277278279280281283284285286287287287286285285285285285285286286287288288289290290289290289289289290289290290291291291292293293293293294294295296297298299300300301301301301300300301301303303303304304304304305304302999999999999999999999999999999999999999999999999290289285999253258266270273274276278279280282283286287287287288289290291291291292292291291291291291290291291291291291291291291291291292292292293293293292290289288287287287287287287287287288288288288288288288288288288288287287287287286286286285284284283283282282282282282282282282282282282282282282282282282282282283283284284284283283283283283283283283283282283283283281279278277276275275274274273273273273273274274274275276275275275275275275273272270270270270269268268267268267266266266266267267266266266266266267267267267268267267267267268266265265262262261260261260260260259259259258259257257256255254252253253252252251252250249248247242239238238238238239240241241241240238238238237236235234232232232231231233233233232232232231232232231232232231232231231231231229230230231230230231232234235236238239239241240240239239240241240239239239239240240241240240238237238238238238237237237237237236236235236236235235235234234234235235235233231231231231232235237238239239240240241241242242240240239239239239239239240239239239239239239239238237235235233233230227225222220217215215214215215215214213215216217218219223224227225226228229230231231231231231229229228228226225226225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287285283282281280280280277274271267264265266266263262263264264262261261261259255252249247251255257260264266268268269270270270270269269269268268267267267267268269269269268266266266266265263260255248240235239245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237240245247246249250250251251252252252254259260259258259259260261262262262263263263264264265265266267268270271274277279280281283284285286287288288288288287286286286286286286287288288289291290290290290289290290290290290290291291292293293293294294294295296296297298299300300301301301300300299300999303303303303304304305305304302999999999999999999999999999999999999999999999283282280278278272265266270273275277278279281282284286287287287288289290291291291292291291291291291291291291291291291291291291291291292292292292293293293292290289288287288288287287287288288288289289289289289289289288288288288287287287287287286286286285284284283283283283282282282283283283283283283282282282283284283284284285285284284283283283283283283282281282282282282280277276275274274274274273273273272271272272273273273275275275275275275274272271270271270269269269268268267267267266266267267266266266266266266266267267267267268267266266267267266265265263263263262262262262261261260260259259259259258257256255254254253253253252251250249246242239239239239240241242242242241239239239238237236235234233233232232232233233233233232232232232232232231231231231231230229230231231231232233234235236237238239239240241240241240240241240240241240239239239240242241240239238238238238238238238237237237237237236236236236235235235235235235235235234232232231232234236238239239240240241242241242242242240240239239239239239240239239239240240240240239239237235234233231229227224222220218215214214214215213213216216217219223224225228227227230231232233233232232232231231230229229227227226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285281279280280280999276274269267265265265265264262264264263260260260258253250248248250253258260261263265266266267269269269268268268268268267267267268269269270270269270269269269266264262255248239234237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237239243245245246248250250251252252252252257260260259259260261261262262263263263263264265265266267269270271274276278280282282284285285286287288289288288288288288287287287287287288289290291290290291290290290291291291291291291292292293293294294295295295296296297298299300301301300300299298298999999301302302303303305306305303999999999999999999999999999999999999999999999277275274273273273274273272274275277278280281282283285287287288288289290291291292292292292292292291291291291291291291291291291291292291292292292293293293292291289288287288288287287287288288288289289289290289289289289289289288288288287287287287287287286286286285285284284284283283283283283284284283283283284284284284285285285285286285284283283282283283283282281281283282282279276274274274273273272273273273272272272272271272272275275275274274275274272271271270270270269269268268268267267267266267267266266266266266266266266267268267267267267266268267267266265265266264263263262262262261260260260260260259258258257257256256255255254253252251249248245241240240240241242242242242241239239239239237236236234233233233232232232232233232232232232231232231231230230230229230230231232234233234234235235236237238240240241241240241241240240240240240239239240240241241239240239237238238237237237238237237237237237237236236235236235235235236235236236234232232232234236237238239239240241241241241242242242242241240240239240240240240239239239240241240240239237236236235233232229226224223220217216215214215214215216219220223223225228228228229231232233233233233233234233232233231230229228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273269269268265265267266265265264264261259258257255255253249249251256261262262263264265266266267267267267266266267267267268269269270270270270272272273271269266264258253243234237244253263999260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239240243245245247249250250251251250250253258261260259260261262262264264263263264265266267268269272273275277279281282283283284285286287288289288288289289289288288288288288288289290291291290291291291292291292291292292292292292293293294294295295295295295297298298299300300300300299298297297999999999302302302303304306307999999999999999999999999999999999999999999999999271271270270272272273273274276277278279281282282284285287288288289289290291292292292292292292292292292292291291291291291291291291292292292292293293293292292290289288288288288288287288289288288289290290291290291290290290290289289289288288287287287287287287286286285285284284284284284285285285285285285285285285285285285285285285285284283283282282282282282282281281283283282278275274273272272272272272272272272272272272271271272274274275274275275273271271271270270270270270269268268268267267267267267266267266266266267266266267267267267266267267268267267267266267266266264264263262262262261260260259258258258258257256256256256255254253253252251249248245242242242243243243243243242240240241239238237236235234234233232232232232232232232232231231232231231231231231231232232233234234234234234234235236238239240241242242242243242241241240240240241240240240241240240240239238238238237238238238237238238238238237237237237237237236235236236236236234233233233235237238238239240240240241241241241242243242241240240240240240240240240240240240240241240240238237237236235234232229227225222219217215215216216216219221222223224227231229230231233234234235235234235235235235234233232231231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270269271267266268267267266265264261260259260261260256254253251254257260262263263263264264264265266266265266266266267268270270271272272273273274274273272269265262257246237243249251261999999999999999999270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238243243244246249250250250249249248250255261262260261261262262263263263263264266268269271274276277279280281282282283284285286286288288288288289289289289289289289289289289290291291290290291292291292292292292292292292292293293294294294295296296296296297298298298299299300299299298297298999999301301301301301301999999999999999999999999999999999999999999999999999999265267267269271273273274276278279280281282283284285286288288289289290290291292292292292292292292292292292292291291292291291292291292292292292293293292292291290288288288287288288288289289289289290291291291291291291291291291290290290289289288288287287287287287286286286285285285285285285285285286286286286286285285285285285285284284284284283283282282282282282280280282283282278274274273272271271271271272272272272272272271272272272274274274274274272272271271271271271271271270269268269268268267267267267267266266266267266267267267267267267267267268268267268267267267266264264262262262261260260259259258258257257256257256256256256254254254254253251250248246244244244245244244244242241241241240239238237236235235234233233233233233233233233233232232232231232233233234234235235235235235234234234235236238239240241242243243243243242242241241240241241241242242242241240239238238238238238239238238239238238238237238238238237236236236236236237236235234233235236237238239239240240241241242242242243243243241240240240241240241241240240239240241242242240239239238238236235233231228226225222220217217216217218221223223225227231231231233234235235236236236236236236236235234234232233232231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277273273271269271269268267265264263263264264264263999999257255254255257259261263263263263263264264264263264265265266267271272272273273274274274274274273271269267262255245255256248247249257999267247263268272256260999270267999999999999999999999999999999999999999999999999999999999999999999999999999243242243245247249248247247248249251253258262262261261262262263263264266267269271273275277278279280281281282283283285286286287288288289289289289289290290290289289289290291291291290291291292291292292293292292292292293294294294295295295295295295295296297297298298299299299299298298299999301301301300300999999999999999999999999999999999999999999999999999999999999999261264267271273274276278278280281283283284285286287288288289289290291291292292292292292292292292292292292292291292292292292292292292292293293293293292290289289289288287288288289289289290290290291291291292291291291291291291291291290290289289289288287287287287286286286286286286286286286286286285286286286285285285285284284283284283283283282282282282282281280281282283282278274274273272272271271270270271271271271270271271271272272273273273273271271271271270271271271271271271270269269269268268268267267267267267267267267268268267268267267267267268267268268267266265264264262262261261260259259258258258257257256256257257257256255254254255254253251250248246246246245245244244242242241241240240239238237236235234234234233233233233233233232233233233234234234235236235235236236236236236235235236237238239240242242242243243242242242242241241241242242242243242241240239238239238240239239238238239239238239238239239238238238237238237237237237235234233235237238239240240239240241242243243243244244243242241240240241240240241240240240240241242241242242240240239237235234232229228226224221219219218219221222223224228229232234233234235236237236237237237236236237235234234234234233232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276281274272274274272270268268267266267269269999999999999999260259258259260261261262262263262263263263262263262263264266269271272273274274274274274274273272271270268264259259263255250250250255258261263263270269267269272272999999999999999999999999999999999999999999999999999999999999999999999999999999242243244244247247248249250249251253256261263263262262262263264266268269272274276277278279280281282282283283284285287287288288289289289289289290289289290290290290290291291291290290291291292292292293293292292293293293294294294294295295295295296296297297298298299299298298298299301301301300300300999999999999999999999999999999999999999999999999999999999999999999258260264269273276277278279281282283284284285286287288289289289290291292292292292292292292292292292292292292291292292292292292292292292293293293293292290289289288288287287288289289289289290290290291291292291291291292292292292291291291290290289289288287287287286286286286286286286286286286285285285285285285285285284283283282282282282282282282281282282281280280282283282278274273273272272271270270270270270271270270270271271271272272272273273271270271270271271271271271271271271271271270269269269268268268268269268268268268268268268268267267266266267267268267266265263263262261261260260259259259258257257257258257257257257257256255255255254253252251250248247246246246245245243242242242241241240240239238236235234234234234233234234234234233235235235235236236236235235235236236236237237236235237238240241242242243243243242242242242241242242241242242243242241240240239238238240239239238240240240240239238239239239240239238238238237237237236234234237238239240239240240240241242243244243244244243243241240239240240240241240240241242242243244243242241239239237235234232230229228225223220220220221223223224226230233232233233236236236237237237237237237237237236236235235234234233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281278277276277276273272273270269269271999999999999999999999999999264264262262264265265265263263262262261261260261262265266270272274275275274274274275274274274273270268266265266263256253251256259262263265265264266266267267999999999999999999999999999999999999999999999999999999999999999999999999999999999240241242244248250250249249250252255258263265264264265265265267269271274277278278279280281281282282283283284286287287288288289289289289289290289290290290290290290291291292291290291291291291292292292292292292293293293293294294294294295295296296296297297298299299299299299300301301301300299299999999999999999999999999999999999999999999999999999999999999999999254258262268272275278278279281282283284285285287287288289289289290291292292292292292292292292292292292292292292292292292292292292292293293293293292291290289289288288288287287288289288288289290290291291291291291292292292292292292292291291291290290289289288287286286285285285286286286286286285286286285285285285284284283283282282282282282282282282282282281280281283283281277274273273272271271270270270270270270270270270270270271272272272272272270270270270270271271271270270271271271271272272272271270270269269268268268268268268268268268267267266266267267268266265264263263261261260260260259259258258258257257257257257257257257257256255255255254253251250249248247247247246245243242243242241241241240239238237236236235235236235235235235235235235235236236236236236235235235235236236237238238237237238240241243243243244244243242242242242242242241242242243242241240240239238239238238238238239240240240240240239239239240239239239238238237237236235236238239240239240240240240241242243245244243245244242242240238239240240240240240241242242243245242242240238237236235234233231229228227224222221221222225225227228229232234235235236237237238237238237237237236237236236235235235234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280281279279279279278277275274273273272274999999999999999999999999999999999264265266267266265263263262261260259258259260262264267270273275274274274275275275276275275273272267265267264261259258258261263264261257260262264265266268269255999999999999999999999999999999999999999999999999999999999999999999999999241241240243247249249248249251252254256261265266265267266267268269273276278278278279280281281281281282283285286287288288288289289289289289289290290290291290291291292292292292291290291291291292292292291291292292293294293294294294294295296296296296296298298298299299299300301301300300300299999999999999999999999999999999999999999999999999999999999999999999999999254261266270274277278280281282283283284285286287288289289290290291291292292292292292292292292292293292292292292292292292292292292293293293293292290290289289288288288287287288288289289289290290290291291292292292293293293293293293292292292292291290290289289287286286285285285286286286286286286286285285285285284284283283283282283283282282282282282282281280281283284283279275273272272271271270269270270270270270270269270270271271272272272271270270270270270270270271270271271271271271271272272272272272271270270269269269269268268268267267266266266267267267267265263262262260260260259259259258258258257257258257257257257258257257257256255255255254252252250249248247248247246245243243242242242241240239239238237237237236236236236236236235236236236237237237237236236236236236238237239239239238237238240243243245244245244244244243243243243243243243243242242242241240240239238239238239240241242241242241241240240240239239239239239238238238237236236238239240240240241240241242243243244244244245244242242240238238239240240239240241241243244244241240240238238237235234233231230229228225223222222224226226229231232234235236238238238238237238238238237237236236236236235236236234234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281280280279280278277277277276275999999999999999999999999999999999999999999999999999999999999999999260259258254256258260263266269272274274274274275275276276276276275275271268267266263261260260261261260256255258257260262263999270999999999999999999999999999999999999999999999999999999999999999999999999999999240242246249250250249249251253254256259263266268269268268270271274276278279279279280280280281282283284285286287288288288289289289289289290290290290291291291292292292293293292291291291292292292291291291292293293294293293294293294295295295999999299299299299299299299301300300300300299999999999999999999999999999999999999999999999999999999999999999999999999999251258266271275278279281281282282283283285287288288289290289290291291292292292292292292292292293293293293293293292292292292292292292292292292291290289289288287287287287287287288288289289290290291292292292293293292294294294294294294294294294293293292292291290289288287286286286286286286286286286286285285284284285285284283283283283283282282282282282281280280282283284281276274273271271270270270270270270270270270269270270270271272272272270270270270270270270270270270271271271271271271272272273273273272272271270270269268268268268267267267266266266266266265264263262261260260260259259259258259258257258257257257258257258257257257256256255255254253252250249248248248248247246244243243243242241241240239239238238238236236236236237238237237237236237237237236236236236237237237239240240240240238240241243244245245245246245245245245245244243243244245243242243242241241240240240240241240241240242242243242241242240240241240239238238238237238237237238238239240239240240241242242244244244244244244243242240238237237238240240241241242242243243242240240239238238236234233231231230229226224223224226227229231232234236237238238238238239238238239238239239237237237237236236236235235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281280280280279279278278999999999999999999999999999999999999999999999999999999999999999999999999999999999252256258260262265269272274274273274275275277278277276277277274269267264262260260257256255254253253252252256259261265269271269999999999999999999999999999999999999999999999999999999999999999999999999999242247249252253254255257259260261262263264267269270271271273275276278278279279280280280281281283284285286288288289289289289290290289290290290291291291292292292292293292292292292291291291291291291291292293294294293294294293294999999999999999300299299299300299299300299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999251256263270275278280281282282283284284285287288288289289289290291292292292292292293293292292293293293293293293293293292292292292292292292291290290289288287287286286286287288288288289290290291292293293293293294294295295295295295295294294294294294293293292293292291291290289288287287287287287287286286285285285285284283283283283282282282282281281281280280280282284285282277274273272271270270269269270269270270269270270271271271272272271270270270270270270270270270270270271270271271271272272273273273273273273272271270269269269268268267267267267267266265264264263262262261260259259259259258258258258258258257257258257258257257257256256256256254254253251249249249248248248246244243243243242241240240240240239239238237237237236236237238239238238238238237237237236237238239239241242241241241239240242242244244245245245246246246245245245244245244245244244243243242241241240240240240240239240241242241242241240241241240240239239238238238237236236238238239240240240240241241242244245245244245244244243241239237237237239240240241241242241242241240240239239238236234233232230230228226225224226227229232234236237238239239239240240239239239239239238237237237237237237236236236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283282281281280281280281999999999999999999999999999999999999999999999999999999999999999999999999999999999252257258259261265269273274274273275275277278279278277277277276269268264261259256255253253252251250248247249252258264268269271999999999999999999999999999999999999999999999999999999999999999999999999999244247251255255256257259262264266267267267267269271272272274276276277279279279280280280281281282284285287287288288289289289289290290290290290290291292292292292292292292292292291291291291291291291292292293294295294294294293999999999999302302302301300300299299298298298299999999999999999999999999999999999999999999999999999999999999999999999999999999999248255259264269276279281282283283284285284286287288288289289288290291291292293293293293293293293293293293293293293293293293292292292292292292291290289288288287286286285286287288289290290291292293293293294294295295295295295295295295295295295295295294294294294294293293293292292292291290289288288288287287287286285285284284283283282282282282282281281281280280281282284285283279275273272271270270269269269269270270270270270271271272272271270270270270270270270270271271271271271271272272271272272273272273273273272273272271270270269269268267267266267266266265265264263262261260260260259259259259258258258258258258257257258258258258257257256256256253254252251249250249249249248247245244244243242241241241241240240239239239238237237237239238238239238238238238239237237237239241243243243243242241239241242242243243244244244245246246246246245244245245245246244244243242242241241240240240240240240241241241241241240240241240239239238239238237236236237238238238238238239240241242242243245245245245244243244243240238238238238239240241241242241241241241241240239238237235233232230230228227227226227230233235237238238240240240239240240239239240239239239238237237236236236237237236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282278279279281280999999999999999999999999999999999999999999999999999999999999999999999999999999999260257259258259261266270273273273273275276278278279278278277277277271267264262260257254255251250249247243242245249255261266270999999999999999999999999999999999999999999999999999999999999999999999999999999999247254255256256258259261264267269270270270270271272273274276277278279280280280280280281282282284285286287288288288289290290290291291290290291291291291292292292292292291292292291290290291291291292292293294295295294294294999999305303303303303302301301300299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251258263267272276280281282283284284285285287287288288289288288290291291292293293293293294294293293293293293293293293293293293292292292292291290289289288288287287286286287287289289290291292293293293294295295295295295295295295295295295295295295295295295295295295294294294294294293293293293292292291290289289288287286285285284284283283282282282282283282283282282283286286285280277274273272271271270270270270270270270271271272272271271270269270270270271270271271272272271272272272272272272272273272272272273273273273273272271271270269269268267267266266266266265264263262261260260260259260260259259258259259258258258258257257258257257257257256255255254252251250250250250249248247246245244244243243242241241241241240239238238237237237237238237238237237238238237237238240241243243243242243242240239241241242242242242243243245245246246246246245245245245245244244244243243242240240241241241241242241241241240240241240240240240238238238238237236237237236236236237238240241241242242244244246246246245244243242241239238238238238241241241241241241241241240239238238237234233232230229227227227227230232235236238240240241241241240240241240240240239239239238237236236236236236236235236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261262260260262265270273273273275275278278278278278278278278278275271266264263261261262259251247244241240244249255258264268273999999999999999999999999999999999999999999999999999999999999999999999999999999252255256257258259260261262266271272271271272272274274275276277278279280280280281280282283282283284286287288288288289289289289290291290291291291291292291291291292291291291291291290290291291291291292293294295294294294294295999999999302303302301301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251261267272276278280281283283284285286287287288288288289288288289290291292293293293294294294294293293293293293293293293293293292292292292291290289289288287287287286287287288289290292292293293294294295295295295296296296295295295295295295295295295295295295295295295295295295295295294294294293293293293292292292291290289289288287287286286286286286286286286285285286287287287283278276273272272272271271271271271271271272272272271272270270269269270270270271271271271272272272272272272272272272273273272272273273273273273273273273271270270269268267266266265266265264263262262261261260260260260259259259259259259259258259258258258258257257257256256255254253252251250251251251249247247246245244244243242242242241241240239239238238237237237237238238237237238238239240242243244243242241241242242240239241242242242242242242243244245246246247246247246246245245245244245245243242241240240241241241242241241241241241240240239240238239238238237237236236236236237237238239240241241241243244245246246246245245243243241239238238238238240242241241241241241240239239238238236234233232231229229228228228233235236239240241241242241241241241240241240240240239239238237236236237237236236235236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258263263261262264268271273273274276278278278279278278279278278278276274269268267265264262261252246241242242242244253999247999999272999999999999999999999999999999999999999999999999999999999999999999999999999254255258260261261261262264267272273273273273274274276277276277278279278279280281282282283283283284285287287288289289289289289289290291291292291292291290291291291291291291290290290290290291291291292292293294294294294294295999999999301301300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259263268273278281283284285286286286287287288287287288288289288288289290291292293294294293294294294294293294293294293293293293293292292292292291290290289288288287287287287287289290292292294293294294295295295295295296295295296296295295296295295295295295295295295295295295295295295295294294294294294293293293293293292292291291291290290289289290289289289289289288288288287287286285280278274273273273272272272272272272272272272272271270270270270270270270270271271271272272272272272272272272273273273273273273273273273274274274275274274272270269269268268267266265265264264263263262262261261261260260260259261261260259259259259259258257258257257257256255254253252251251251252252252250249248247245244243243243242242242241240239239239238238237237238238238238239241242244244245245243242241241242240239240241242242242242242242242243244246247248248247247247246245245245245245244243242241240240240241241241240240240241241240240239238240238238238237237236236236237238238239240241241242243244246246245246245245244244241240238238238238240241241241241241240240240240238237236235233231230229228228228231235237238240242242242242241242242242241241241240239239239238237236236237237237236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280278276274271999999262263264263262264265269272274275276278279279279279279279279278276275273273270269269268265261259255247243241239237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254258261263262263264264266270274274273274274275276276276276277277277277278279280281282282283283284285286287288289288289288289289290291291291291291291291292292291291291291290290289289290290290291291292292294294294294294296999999999300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260267272277281284285286286287287287287287288288287287288288288289288289290291292293294294294294294294294294294294294294293293293292292292292292291291290290289288288287287287289291291293294294295294295295295296296296296296296296296295295296295295295295294294295295295295295295295295295294294294294294293293293293292292292292292292291291291290290290289290290290290290289288287287285282278276273273272272272272272272272272271271271271270270270270270270270270270271271272273273273273273273273273273273273273273273273274274274275275275275274272270270269269267267266265265265264263262262262261261261261261261261262260260259259259259258258258257257257256254253253253252252252251252253252251250249248247246245244244243243242242241240240239240239240239240241243244245246245246246245243242242242241240240240242242243243243243243243243244245246247247248248247247247246245245245245243243242241241240240240241241241241241241240240240239239239239239238237237236237237238239240240241242243243245246245246246245245245244241240239239238238241242242241240240240240240239238237236235233231231230229229230234236237240241242242243242242243243242241241241241240239238238237238237237237237236236237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280277275274272271270268265266267267266264263265267270273274277279280279279280279279279280276275274273271270269270270264262260260255248246241245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260263263263264265265268273275275275275276276277278278278278278277277277278279280281282282283284285286286287288288288288288289290291291291291291291291292292292291291290290290289289290290290291291291293293293294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267274279282284285286287287287287287287288288288288288288288288288289289290291292293293294294295295294294294294294293294293293293292292292292292291291291290290289288288288289290292293294294295295295295296296296296296296296296296295295295295295295294294294294294294294294294294294294295294294294294294293293293293292292292292292291292291291291291290290290290290290290290289288287286282279277274273272271271271271271271271271271270270270270270270271271271271271272272273273273273273273273274274274274274274274274274274274274275275275275275274272270270269269268267267266266265264263262262262262262262261261260261261260259260259259258258257257257256256255254253253254253253253252252253253253251250249248247247246245244245244243242242242242242243245246246247246247247247247246245243242241241240240240240241242243243243243244244243243244245246246247247247247247246246245246244244244243242242242241240241240241241241240240241240240239239240239238238237238238239239240240241242242243244245246246247246245245245244242240240240240241242242242242240240240240240238238236236234233232231231230231234236238239241242243243244243243243243242241241241240240240239238237237238238237237237236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282280275272270270268268268268270270270268269265266266268271274276279280280280280281280280280278276275274272271270268269269269266263262261255249245250261999275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259262262262264265266268271274276275276276277277278278278279279279278278279279280280281281282283284285286287287287287287287288289290291291291291291292292292292292291291291290289289289289290290291291292292293293294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266272280283284285286287287288288288288288288288288288289288288288289289289290291292293294294295295295295295294294294294294294293293293292292292292292291291290290289289289290290292294294294294295295295296296296296296296296296295295295295295294294294294294294293293293293293293293293294293293294294294293293293293292292292292292291291291291291291291291290290290289290290289289289288285283279277274273272271271271270271271270270270270270270270270270271271271271271271271271272273273273273274274274274274274274274274274274274274275275276275275275274272271270269270269268267267266265264263263263263262262262261261261260260260260259259258258257257257257257256255254253254253254254253252252253254254254252251250249247247247246246246245244244246246246248248248247247247248247248247246245243242241241240240241241242243243243244244244243243244245245246247247247247247247247246245245245245244243243242241241241240240240241240241241240240240240240239239238238239239240240241240241242242244245246247247246246246245245244243242242242242242242242242241240240240239239238237236236235233233232232232234235237238240242243243243244244244244242242242242241240240239239239239238237238238238237237237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284283279278276274273272272272272272272272272270269267268269271273276279280280281280281281281281281278279276274272272270270269270271271268267266261255253255258264272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260263262263264266268272273274275275276277278280280280280280280280279280281281281281282282282284285285286286287286286287287288289290291291291291291292292292292292291291291290289289289289289290290290291291293293293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269278282284285286286287287288288287287288288288289289289289288288288289289290291292293293294295295295295295294294294294294293294293292292292292292292291290290290289290290290292293294294294294294295295296296296296295295295295295295294294294294293294293293292292292292292292292292292292292292292292293292292292292292291291291291290290290290290289290290290289289289290290289289289288286283280277275273272271271270270270270270270270270270270270271271271271271271270270270271271272273273274274274275275275275275274275275275275275275275276276275275275274273273271270269269268268267267267266267266266266265264264263263262262261260260259259258258258257258257257256256255255254255254254253253253253254255254253252252250251249249249248248247247248249249249249248248248248248249248248247246245243242241241241241241242243243244244244243242242243244245246247247247248248248247247246246245245245244244242242241241241240240240241241242241240240241240240240239239240240240241242242242243243244245246248247247246246245244245243242243243242242242242241241241240239239238238237236235235233232233232233233235237239241242243243243244243243243243242242241241240240239239239238238238238237238236237237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283280280280276275275276276275275274273273272270268269270271273275278280280279281281281282281281282279278277278275275273270270271273274273273271266260258258257258266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261263264265268270271272273274275276276278279281280281281281281281281281281282282282283283283284285285286286286285286287288289289290291291291291291291292292291292291291290290289289288288289289290290290290292293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265272280283285286286286287287288288288288288288289289289288288287288288289290290291292293293294294295295295295295294294294294292293293293292292292292292291291290290290289290291293294293294294294294294295295295295295296295295295295294294294293293292292292292291291291291290291290291290291291291291291291291291291291291291290290289289289288288288288288288288289289289290290290290289287286283280278276273272272271271271271271271270270270270270271271271271271271271270270270270271272273274274275275275275275275274275275275275275276276276276276277276275275274274273272271270270269269268268268268268268268268267266267267267267266266265265264263262261260259259259258258258257257256256256255255254253253253254255255254254253252253253253253253252250251251252252251250251250250250249249249249248246246244242242242241242242243243243242242242242242243244245246247248248248249247247247247247246245245244244242242241241241241240241242242241241241241241240240240241242242242243243244243243244245247248249247247247245244244244243243242241242242241241240241241240238238238238236235236234233232232232233234236238240242244244244244244244243244243243241242241240240239240238238237237239238238238238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282281281282281279277277277278279278276275274273271269269270271273275277279280280280280281282282282282282281278277279277276274272273274275275275274271265262261262257256261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261263265268269270270271272274275276278279279280281281281281281281282282282283283283283284283284285286287286286285285286288288290291291291291291292292292292292292291291290290289289289289289289289290289290290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268273280284285286286286287287288288288288288289289289288287287288288288289289290291292292293294295295295295295295294294294293293292292292292292292292292292291291290290290291293294294294294294294294294295295295295295295295295295295294293293292292292292291290290290289290290290290290290290290290290290289290289289289289289289288288288288287287287287287288288287288288289289290290290287286283280278276273272272272272272271271271271271271271271271271271271271271271271270270270271272273274274274274274275274274275275275276276276276276276276277277276276275274274274273272272271271270270270270269271269269269269269269269269268268268268268267266266266265264263261262261261260259258258258257256256255255254254254255255255255255255254254254255254254254253253253253252252252252251251251250250250248248247246245244244243244244244242242242242243242243243245247247247248249249248248247247247246245245245245244243242241241241241242242241241241241241241241241241241242242242243244244244244245246247248249247247247245244243243242242242242241242240241241240241240239239238238237235236235233233232233233236236240242243244244244244244244244244243243242242241241239239240238238238238238238238238238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278281282283283281280279279279279279278276275274271270270271272273276278279280280279280280281282283283282282281279279280280279278276274275275276274272269265262259265266263263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999262263265267268269271272273274275276278279281281281280281282282282282283284284284284284284284285286287287286285285999999289290291291290291292292292292292292292292291291290290289289289289289289289289288289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268274280284286286287287287288288288289289289289289288287287288288288288289290290291292292293294295295296295295294294294294293292293292292292292292292292292292291290291292292294294294294294294294294294295295296295295295295295294294293292292291291292291291290290289289289289289289289289288288288289288288288288288287287288287287287286286286286286286287287287288288288288288290290289287286283279278277274273272272272272272271271271271271271271271271271271271271271271270269271271273274274274274274274274275275275275276276276276277277278278278278278277275274274274273273273272272272272271271272272271271271270270270270269269269269269269268268268268268267266266266265265264263263262261260259258257257257256255255255255255255255255255255255255255255255254254253253253253252252252252252252251250250249248248247247248248248247247246245245245245244245245246246248248248249249249248248248246246246245245245245243242241241241241242241241241241241241241241241242242242242243243244245246247248248249247246246246245244242244242242241241240240240240239239239240240239238238238236236235234234234234237239239241243244244244244245244244244244244243242241241240239239239238238239239238239238239239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999999277279282283283281281280280280279278276275274272271271273273274276278279280279280279280282282282283282283283282281281281281280277277276275276276275272271268263263267268267265268999999999999999999999999999999999999999999999999999999999999999999999999999999999999262264265268269269271273274275276277278279280280281281281281282283283284283284284284284285286286287287287285284286287288290290291291292292292292292292292292292291290290290290290289289289290290289289288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267274280284286287287287287288288288288288288288288287287287287287287288289289291292292292293294295295296295295294294293293293293292292292292292292292292292291291291292293293294294294295294294294294294295295295295294295295294294293292291291291291291290290290289289288288288288288288288288288288287287287287287287287286286286285285285284284284284285285285286287287288288288289289287286284282279278277274272272272272272272271271272271271271271271271271271271271271270270270271272273273274274274274274275275275275276276277278278278279279279278278278277276274273273273273273273272272272272272272272272272272272271271270270270270269270270270269269269269269269268268267267268268267267267265264263262260259258257257256256256255256255256256255255254255255255254254254253253253253253253253252252252252252251251250249250250250250249249248248248247247247246246246247247248249249249249248248247246245245247246246245244243242241241241242242242242242242242242242242242243243243244245246247248249249248248247247247246245242244243243241240239239239239239239239239238238239237237237236234234234234236239241241242243244244244244245245244244244243243243242242240240240240239239239240239239240240241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278271270273275278281282283283283282282281280279278276274273272272272273274276278279279280279280279281282282283283283283284283282282280280279278277276276276276275272270270266264264268268268269274999999999999999999999999999999999999999999999999999999999999999999999999999999999264265265268269271272274276277278278278279280280280280281281282283284284284284284284285286286287288288287287286286288290290291292292292292292291291291291291291290290289289289289289289290290290290288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272278283286286287287286287287287287287287287287287286286286287288289290290291291292293293294294295295295294294294293293292292292293293292293293292292292291291291293293293294294295295294293293294294295295295295295295294294294293292291291291291290290290289289288288288288288288288287287287287287287287286286286285285284284284284283283283282283282282282283284285286287288288288287285284282279278277274272272272272272272272272271271272272271271271271271271271270270270271272273274274274274274274274275275275276277277278279280280280280280279278278277277275274272272272272272272272272272272272272272271272272271270271271271270271271270271271271270270269269269268268268268268268268268268268267267266264263261260259259259258258258258258258257257257257257256256256255255254254254254254254253253253253253253252252252252252251251250250249249249249248248247247247248248248249249249249249249247247247247247247247245245243242243242242242242241242243244243243243243244244244246247247248249250251251248248248248247245245244243242242241240240239240240239239239239239238237236237236237236236237239241241241242244245245245245245245244245244244244243242242241241240240240240240242241241241242241241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271276277277279282282283283283283282281280278277276275273274274274275276277278280280280280280280280282283283284283283284283283282281280280278277276275276276273271271268266263263266268268274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266269270272274276278279278278278279280280280280281282282283284284284285285286286286287288288288288288288288289290290290291291292291291291291290290290289289289289289289289289290291291290289288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268276282284285286286287287286286286286286286286286286286287288288289290291291292292293294294294294295295295294294293292292292293293293293293293293293292292292292293293293294294295295293293293293294294295295295295295294294293293292291291291291290290289288288288288288288287287287287287287286286286286286285285284283283283283282282282282282281281281281281282284285287287288288288286285282279279277274273273273272272272272272272272272272272272272272271271271270270271272273273274274274274274274275275275276276277278279279280280280280279278278278278277276275272272272272271271272271271271272272271271271271270271271271271272272272272272272272271271270269268268268268267268268268268268268268268267266266266265264263262262261261261261260260259260259259259259259259259259258258257257256256256256256256256255255255255254254254253252251251251251250250250249248248248248249249250250249249249248249249249248249247246245245245244243242242242243243244244245246246246246247248247248250251251252249248248248248247246246244244243243242243242241241241240241240240240239238238237237238239239239241242242242243244245245246246245245245245244244244243243242241241241241241242241241241242241241242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273277280279279280282282283284284284282281280279278277275275274275277278278278279279280280280280280281283283284283283284284283283283280281279277275276275276275275273269268266265264264265268283283272999999999999999999999999999999999999999999999999999999999999999999999999999999999265269272273274275277279279279279279280280281280281282283283283284284284285286286287287287287288289289289289289289290291291291291291291291290290289289288288288287288288288288289290290291290289287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272279283284285286287286284284285285285286286287287287288289289290291292292292293294294295294294295295295294294292292293293293293293293294293293292292292292293293293293294294295294294293294294294294295295294295294294294293293292292291291290290290289288288288288288287287287287287287287286286285285285285284283283283282283282282282282282281280281281281282283284285286287288288287284283280280278275274273273273272272272272272272272272272272272272272271271270270272274274274274274274274275275275275276277277278279279280280279279280279279279279278277276276274273272273272272272271271271271270270270270270270270271271271272272272272273272272272271270269269268268268268268268268267267267267267267266266266266265265265264264263263262262262261261260260261260260259260260261261260261261260260260259258258258257258256256256256255254253254252252252251250250250249249249249249250251250250250250250250250250250248247246247246245245245245244245245246247247248247247247248249249249251251251251249249248248248247246245245244244244244244245242243242242242242242241240240240240239240240241240241242242243244245245246246246246246246246245244244244243243242242243241242242242243243242242243243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271272276279281281280281281282283284284284283281280279278277276275275277278279279279279280280280280281282282283283284284283284285284283282280281279277276277275276274273270267266265265264267269267281274999999999999999999999999999999999999999999999999999999999999999999999999999999999999268271274275276276278279279279279280281281280281281283283283284284284285286286286287287288288289289289290289289290290290291291291291291291290289288287287286286285286286999999287288289289289288287286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272274279280281282282283283284285286287287288289289289289290290291292292292293294294295295295295295295295294293292292292293293293293293293293292293292292293293293292293293294294294294294294294294295294294294295295294293293293292292292291290290290289288288287288287287287287287287286287286286285285284284284283283283283284283283283282282281280280280280281282283284286286288288286284283281280278275275274273273272273273273273273273273272272272271271271271271272273274274274274275275275275275275276277278278279279279280279279279278278279279279278277277276275273273272272272272271271271270270270269269269269269269270270271272272272273272272271271270269269269269269269269268268268267267267267267267266266266265265265265265264264263263263263262262262262261261260260260261261261261262261261261260260260260259259259259258257256255255254254252252252252252251250250250249250250250250250250251251251251251250249249248248248248247247247247248248248249248249249249249249250251252252252253251249249249249248248245246246244244244245245245245244245244244243243243243242241243242241242242241242242243244245245246246246247247247246246245245245245244243243243243242243243243243243243243244244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270271275278280281282283283283283283284283284282281279279278278276276277278279279279279280280279281282283284283284284284284283284284284283281281281280278276276274275272272270268268265264265268272270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270273276276277277280280281281281281282282282282282283284285285284284287287287287287288288289288289290290290290289289290290290291291291290290288288286999999999999999999999999287288289288288287287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299999999999999999275273272272274277279281282283285286287287288289289290290290290290291291292293293293294295295295295295295295294294293293292293293293293293293293293293292292293293293292292293293294294294294294295295295295295294294295295294294293292292292292291291290289289288288288288288287287287287287287287286286285285284284284284284284284284284284284283283282281280280280281281283284285287287288287285284281281278276275274274273273273273273273273273273272272272272272273274273274275275275275275275275275275276276277278279279279279279279279278278278278278278278278278277276276274273272271271271271271271270270270269269269269269269269270271271272272272272272272271271270270270269270269269268268268268268267267267267267266266266266265265265264264264264264263263263263262262261261261261261261261261261260259260260260260259259259258258259259258257257255256255254253253252252252251251251250250250250250250251251251251252251251250250249249249249249249248249248250250250250251251251252252254253253253252250250250250250249248247246246246245245245245246247247247248247246246245245245244244244243244244242243243243244245246246246247246247247247246245245245245245245244243243243243244244244244244244244244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277274272273275278279281282284285285285284284284284284282281280279278277276277278278280280280280280281281282284284284284284284284284284284284283282282281281281279275275275272270270269269268266264265268274274277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272275277277277279281282282281282282282283284283284283283284285285286287289289289289289289288288289289288999999999290290290290290289288999999999999999999999999999999999999999287999290289288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296296999999999999273270269270273277280282283284285286287288289289290290290290290291291291292292293294294295295295296296296296296295294293293293293293293293293293293292292292292293293292292292293294294293294294294295295295295295295295294294294293292292292291291291290290289289288288288287287287287287287287287287286286286285284284284284284284284284284284283284283283282281280280280281282284284286287288288286283282281278276275275274274274273273273273273273273273272273273274274274275275275275276276276276276276277277278279279279279279279279279279278279279279279279278278277277277276275274273272271271271271271270270270270269270270269269270270271271272271272272272272272271270270270269269269269269268268268268268267267267267267266266266265265265265264264264264264263263263262262261261261261261261261261260260260260260260260259259258259258258258257257257257257257256256256255254253252253252252251250250251250251252252252253253252251251250250250250250250250250251252252252252253253253254254254254255252251251251251250250249249247247247246245245245246247247248248248248248248248247246247247245245245244245246245245245246246246246246246247247247247246246246245245244245244244244244244244244245244245245244243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276277278278278280281283284285286286285284284284284283282281279278277277277279280280281281282282283283285285285284284284284284284283283282282282282282281281280276274273273272270270270267267267269274280286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270274276278278280282282283283283283283283284284283284284284284285285287288290290290290289287286286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292294999999999999272272270271274277280282284285286287287288289289289290290290291291291291292292293294294294295295295296296296296296295294293293293293293293293293292292292292292292292291292292293293293293293293293294294294294294294294294294293293293292291291290290290290289289289288288287287287287287287287287286286286286285285284284284284284284284284283283283283283283282282281280280280281283284286287287287286283282281278276277276275275274274274273273273273273273273274274274275275275275275275276276276276277278278279279279279279279279279279280279279279279280279279279278277277277277276275274273272271271271271270270269270269269269269270270271271271272271271271272272272271271270270270270269269269268268268268267267267267267266266266266266265265265265264264264263263263263262262262262262262261261261261261261261261260260260259259259259258258258257256257257256256256257257257256256255254254253252252251252251251252253253254253253252251251252251251251252252252252253252254254254254254255254255256254252251251251251250250250250249248247247246247247248248248249249249250249250250249249248247247248248247247247247246247247247247247247247247247247247247247246245245245245245245245244244245246246247245246246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280277277279279278278279281283284285285286285285285285284283282281280279278277278279279280281281283283284284284285285284284284284283283282282283282282282282281280279276275273272272271270267265264265270278283999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270273276278280281282283283284284284285285284285285284285285285285286286288289290291291289288286285285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289999999999999999270271272275278280282284285286287288288289289290290290290291291291291292292293293294294294295295295296296296296296295293293293293293292292293292292291291292292291291291291292293293293293293293293293293293294294294294294294293292292291291290290290289289289288289288288287287287287287287287286286286286285285285284284284284284284284284283283283283283283282282282281281281281282284285286288287286284282281278277276276276275275275274274274274274274275275275275275275275275275275275276277277279279279280280279279279279279279279279280280279279279280280279279278278277277277276275274273272271271270270270270270269270269269269270270270270271271271271271272272272272272271271270270270270270269269269268268268268267267267267266266265265265265264264264264263263263263262262262262262262261261261261261261260261261260260260259259259258258258258258258258257257256257257257257256257256256255253252252252251251252252253253253254253252252252252252252253253253253253253254254254255255256257256255253252252252251251251251250250250249249249249250249250250249249249250251250251250250251249249249249249249248247247247247247247247248248248248248248247248247246246246246245246245246245246246247247247246246246247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283280278277278277278279280281284284285285285286286286286285284283282281279279278278279280281281283283284284284285285285284284284284283282282283283283282282282280279277277275273273273272270266263263265271277276999999999999999999999999999999999999999999999999999999999999999999999999999999999999272273277280281282283283284284284285285285285285285285285285286286286287287289290291291290288287285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287286285999999284999999999999999270274276278280282284285286287287288289289289289290290290291291291292293293293294294295295295295295296296296296296295294293293293293292293293293292292291291291292291291292293293293293293293293293293293293293293293293294293293292292291290290289289289289289289288288287287287287287287287287286286286286286285285284284284284284284284284283283283283283283282282282282281281281282283285286288288287286283281279277276276276276275275275275275275275275275275275275275275275275275275276278279280280280280279279279279279279279279280280280280279279280280280279278278278277277276276276275273272272271271271271270270270270270270270270270270270270271271271271272273273273272272271271271271270270270270269269269268268267267267266266265265265265264264264263263263263263263262262262262262262262262261261261261261261261260260260259259259259259258257257257257257256256256257256256256257257257257255254252252252252252253254254254254253253253252252252253254254254253253254255255256257257257257256255253253253252252252252251251251251251250250251251252251251250251251250251252252252251251250250250250250250248248248247248248248249249248248248248249249248248248248247247246247247247246246247247247247247247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285281279278277275278280280281283284285285286286286286285285285284282282281280280280279280281282283283283284285285285285286285285284283283281281282283283282281279278277274273274274273270269264261260264269275280999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279281282283284284285286286285285285285285285285285285285286286286287289290289289288288287285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286283999281999999999999999272275276278280282284285286287288288288289290290290291291291292292293293293293294294294295295295295295296296296296296295294293293293293293293293293292291291291291291291291292293293293293293293292293293293293292292293293293292292291291290290289289289289289288288288288288287287287287287286286286286286285286285285284284284284284284284284283283283283283283283283283282282281281281282284286287287286286285283280278277277276276275275274275274274274274274274274274274275275276278278279280280280280279279279279279279279279280280280280280280280280280279280279279278278278277277277276276275273273272271271271271271271271271271270270270270270271271271272272273273274273273272272272271271271270270270270269268268267267266266266266265265265264264264263263263263262262262262262262261261261261261261261261261260260260260259259259259259259258258257257257257256256256256256256256256256256257257256256254253253253253253254254254254254254253253253254254254255254254254255256257257257258257256255254253253253253252252252251252251251251251251251251252251252252251252251252252252252252251251251250251250250250249249249249249249250249249249249249249249248248248248248248247248248247248248247248248247248248248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295287284281280279278276277279280281283285285285286286286286286285284284283282282281281281281282282283284284284285285285286286285285285284284284283281282282281280279279278278277277277275272270268266259259262265269279999999999999999999999999999999999999999999999999999999999999999289284281282281278278280282283284284284285286286286286287286286286286286286286285286286286288290288289288287285284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999999999999999999999999999999999999999999999999999291290286999999287287286285283282280278999999273275276277279280282284285286287288288288289289290291291291292292292292293293293293294294294295295295295295296296296296296295294293293293293293293293293292291291290290290291292293293293293293293292292293292292292292292292292292291290290289289288289288288288288288288287287288287287287287286286287286286286285285285285284284285284284284284284284284283283283283283283283282282281281281281283285286287286287286285282279278277277276276275275275275275275275275275275276277278280280280281280280280280279278278278279278279279280280280281281281280280280279279279279279278278278278278277277277276275273273273272272272272272272271271271271270270271271271272272273273273274274273273272272272272272271271270270269268268267266266265265266265265265264264264263263263262262262262261261261261261261260260260260260261260261260260260260259259258258258258258258257257257256256256256256256257256256257257257257256255254253253253254254254254254254254253253254254254255255255255256256256256257256256255254254253253254253253253252252252252251252252251251251252254252252252253252253253252253252252252251251251251250250250250250250250250250250251250250250249250250250249249249248248248248248248248248248249249249248248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295288285283283281279277276275277280282284285285285286286287287286285285283283283282282282282283285284284284285286286285286286286286286286285284283282282281280278280281280279277277276274270270268264259260261265268272999999999999999999999999999999999999999999999286286999999999290288287280280280280281282284285284285285286286286287288288288287287287287287287287287287288290290289288287285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999999999999999999999999999999999293293292999999999999284283283282281279999999272274276277279281282284285286287288288288289289290291291292292292292293293293293293293294294294295295295295295296296296296296295294293293293293293293293293292292291291291291292292293293293293293292292292292292292291290291291290290289289288288287288288288288288287288287287287287287287287287287286287286286286285285285285284284284284284284284284284284284284283283283282283282282282281281281282283285286286287287286285282280279279278277277277277277277277277278279280281281282282281281281281280280279278278279279279279279280280280281281281281281280280280279279279278278278278278278278277277277276275274274273273273273272272272272272271271271271271271271272273273274274273273272272272272272272271271270269269268267267267266266266265266265265265264264263263263262262262262262262261261261261261261261261261261261261261261260260259259259259259258258258258257257256256256256256256256256256255256257256257256256255254253254253254255255254254254254254254255254255256255255255256256256256255255254254253254254254254253253252252252252252252252252253253253253253253253253253253253252253253252252251251251251251251251251251250250250250251250251250250250250250249249249248248248249249248248249249249249249249249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295290286285284281279277275274274278281282283283284285286287286287287286284283283283283284283284285285285285285286285286286286287286287287286285284284283281281280283283281279278277273271267270269265259255255263265268268264999999999999999999999999999289999286999288287285287286284999999280280281282284284286286285285286286286287287288288289289288288287288287287288288288289287286285283999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294298301999999999999999999999999999999999999999291292293293292999999999281283283281280280279275274274276278279281283284285286287288288288289289290290292292292293292293293293293293293293293294294294294295295295295296295295296295294293293293293293293293293293292292292292292292292293293293292292292292292292292291290290290289289289288288287287287287287287287287287287287287287287287287287287286286287286286285285285285285284284284284284285285284284284284284284283283283283283283282282281281282283284285285286286287286285283281281280280280280280280279280281281281282282282282282281281280279279279278278278278279280280280280280281280280280280280280280280279279279279278278278278278278277277276276275274274274274274273273272273272272272272271271272272272272273274274274274274274273273273273272272271271270269268268267267266266266265265265265265264264264264263263262262262262262262262261261261261261261261261261261261261261260260260260259259259259258258257257256256256256256255255255256256256256256256256257256256256255254254255255255254254254255255255255255255256256256256256256256255254254253254253254254254253253254253253253253253254254254254254253254254254253254254253254253253253253253252252252251251251251250250250250250250250250250250250250250250249250249249248249249249249249249249250250250249250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295290290288285281279277274273274277280281282283284285285286286286286286285284284283283284284284285285285285286286286286286287287286286286287286285284284284284284284284282281280276272263266271270268259254255261263272281999999999999999999999287290289288999282283286999285284283280278278280283283284285287286285285286286286287288288288288288289289288288288288287288287287287286285282999999999999999999999999999999999999999999999999999999999999999999999999999291290290290999999999999999999999999999999999999999999999999999999294295999298297295298298999999298999999999999999999291293293293291999999280282284284999279279279279278277278279281283284285286287287288288288289290290291292293293292292293293293293293293293293294294294294294295295295295295295295295294294293293293292293293293293293293292292292292292293293292292292292292292291292291289290289288288288287286286286287287287287287287287287287287287287287287287287287286286286286286286285285285285285285285285285285285284284284284284283283283283283283283282281281281282283284285286286286287286286284282282282282282282282282282282282282282282282281280280279278278278278278278279279280280280280280280280280280280280280280280280280279279279279278278278278278277277276276276275275275274274274274273272273272273272272273272272273273274275275275275275274274274273273273272271271270270268268268267266266266265265265264264264264264264263263263263263263262262262262262262262262262262262261261261261261261260260260260259259259259259258258257256256255256256255256256256257256256256257256256256256256256255255255255254254254254254254254254255255256256256256255255255254254254254254254254254254254254254254255255255255255255255255255255255255255255255255255255255255255255254253253252252252252252251251251251251251251251251250250250250250249249250250249250250249250250250249249250250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291285285284280275276275275278281282282283284285285285286286286286286285285285285285285286286286286286286286287287287287287287287287287286286286286285286285284282282279275272267261271271267256254257257257273280274999999999999999282284999999284284999283285285285283281280279280283285285286287287286999285286286286287287288288288288288288288288288287287287286284283999999999999999999999999999999999999999999999999999999999999999999999999999999288286286287288287283999999999290290290999999999999999999999999999999999293294292290290999999999999999289999999999999999291292293292291290999282283285285285283282281281281280280280282283284285287288288288289289290290290291292292293292293293293293293293293293293293293293293293294294294294294295295295295295294293293293292292293293293293293292292292292292292292292292292292291291291291291290289288287287286286286286286286286286286286286286286286286286287287287286286286286286286285285286285285285285285285285285285284284284284283283283283283283283282282282282281281281281282283283284285285286286286285284284283282283282283283282282282282282281280280279278277277278278278279279279280280280280280280280280280280280280280280280280279280279278278278278278278278278277277276276276276276276275275275274274274273273273274274274273274274275276276276276275275275275274274273272272271270269269268268267266266266265265265264263263263263264264264264264264263263263263263263262263262262262262262262262262261261261261261261261260260260260259258258257257256256255255255256256256257256256256256256256256256256256255255255255254254254255255254254254255255255255255255255255254254254254254254255255255255255254255255255256256256256256255256255256255255255255255255255255256256256256256255255254253253253252251251251251252251251251252251251251250251250251250250250250250250249250250250250250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288285281278276275276279281281282282283283284284285285286286286286286286286286287287287286286287287287288288288287288287288288288288287287286286286284283283281277273272272275273269263255254255260266999256999999999999282278999999283282282282282284286286286285284284285286287286287288288999999285286286287287287288288288288288288288287286285284283282281999999999999999999999999999999999999999999999999999999999999999999999999999285283284283285286284280278999279278284288291999999999999999999999999999999999999290290287287289288287286287287287287287288289289290290289288287287286286286285282282282282281281281282283283285286286287288288288289289290290291291292292292292292293293293293293292292292293292292292293293293293293294293294294294294294293292292292291291292292292292291291291291292292291291291291291291291291291290289288287286286285285285285285285286286285285285286286286285286286286286286286286286286285286286285285285285285285285285284284284284284284283283283283283283282282282282282282282282281281282283283284284284285285285285284283283283283282282282282282282281280279279278278278278278279279280280280280280280280280280281281281281280280280279279279279279279279279279278278278278278278277276277276276276276276276276276276275275275275275275275275275276277276277276276276276276275275274274272272271270270268268267267266266265265265264264263263263263264264264264264264264263263263263263264264263263263263262262262262263264264264263262262261261261260260259259258258257257257256256255255256256256257256256256256257256256256255255255255254255255255255255255254255255255254255254255254254255255255254254255255255255256256255256256256256256256256256256256255256256255255255256256256256256256256257256256256256255253253252252252252252252252252252252252251251251251251251251250250250250250250250250250251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288287285281279277278278280280281281283283284285284284285285286286286286286287286286287287287288288288288288288288288288288288288287287286286286285284285282279274275277279276273269256252999999999274999999283277276277275277281999282284283283285286287287286286286286287287287288289288999284285285286287288288289289289289288288288286284283282280279999999999999999999999999999999999999999999999999999999999999290289287284999279279278278281282282282281999280279280284287999999999999999999999999999999999999999999999286289290289288287287286286287286287287287287287286286286286286286286284280280280281281282283284284285286286287287288288288289290291291292292292292292292292292293292292292292292293292292292292292293293293293293293293294293294294293292292292291291291291291291291291291291291291291291291291291291290290290289288286285285285285284285285285285285285285286285286286286286285286286286286286286286286285286286285285285285285285285285284284284284284284284283283283283283282282282282282282282282282282281282283283283284284284284284284284283283282282282281282281280280279278278279279278279280280280280280280280280281280280280280281281280280280279279279278278279279279279279279279278278278278277277277277276276276277277277277277277277277276276277277277277278277277277277276277277276275275275274273272271271270269268268267267266266265265265264264264264264264264264264264264264264264264264264264264264263263263263263263265265265265264264263262261261260260260259259259258258258257257256255255255255256256256256256256257257256256256255255256255255255255255255255255255255255255255255255255255256255255255255255255255256256256256256256256256256256256256256256256257256256256256256256256256257257256257257257257257257256255254254253253253253252252252252252252252251251251252252251251251251252251251252251252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284281280280280281282282283284284284284283284284285286286286287286287287287287287288288288288288288288288288289288288287287287287286285285285285280278277279280279275269257253256264268270271274273272271273275277280281283285285285286286287287286286286286287288288289289288286285285286287288289289290289289289288288287283999999999999999999999999999999999999999999999999999999999999999999999286289290286283279999999999999999280281280281999999278277999999999999999999999999999999999999999999999999999287286288288287287286285285285285285286286286286286286286286286286286285282280281282283283284284285286286287287288288289289289289291292292292292292292292292292292292292292292292292292292292292292292292293292292293293293293293294294293292292291291291290290290290290290290291291291291291291291290291290290289288287286285284284284284284284284285285285285285285285285285285285286286286286286286286286286286286286285286286285285285285284285285284284284284284283283283283282282282282282282282282282282282281282283283283283283283283284282283283282282281281280280279279279279279280280279279280280280280280280280281281280280280281280280280280279279278278278278278279279278279279279278278278278277277277277277277277276277277277277277277277278279278279279278279278277278278277277277276276275275275273272271271270270269268268267267266266266265265264264264264264264264264264264264265265265264264264264265265265265265265266267266266265265264263262261261260260259259259259258259258258257257256255255255255256256256256256256256256256256256255255255255255255255255255255255255255255255256256256256256256255256255256255255256256256256256256256256256256256256256256256256256256256256257257257257257257257258257258258258258257257255254254253253253253253253252252252252252252252252252252252252252252252252252252253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284282282282283284285285286286287286284283283284284286287287287287287287287288289289289289288289288289289288288287287287287287286286286287286283280280280283283281275266265266269270264266268268269271273275276279281283284285286287287288287287287286287287288289289289999285286288288289290289290290289288288288288286283999999999999999999999999999999999999999999288287283999999270269999277284287290288281999999999999999999999280279275999999275277280999999999999999999999999999999999999999285285285284285285285285285284283283283284285285285286286286286286286286286285284283282283283283284284285286287287287288288289289289289290292292292292292292292292292292292292292292292292293293293292292292292293293292292292292292293293293293293292292291291291290291290290290290290290290291291291291291290290290290288287286284284284284284284284284284284285284285285285285285285285285285285285285286286285285285285286285285285285285285285285285285284284284284284283283283283283282282282282282282282282282282282282282282282283283283283283283282282282282281281280280280280280280280280280280280280280280280280280280280281280281280281281280280279279279278278278278278278279279278278279279278278278278278278277277277277277277277278278278278278278278279279279279279279278278278278277278277277277276276275274273272271271270270269268268267267266266266265265265265265265265265265265265265265265265266266266266267267267267267267267267267267266265264263262261261261260259259259259258259259258258257257256255255256256256256256256257256257256256256256255255255255255255255256255255255255255255255256256255256256256256256255255255256257256256256256256256256256256256256256256256256256256256257257257258258258258259259259259259259258258257256255254254254254253253253252252252252252252253253253253253253253253253253253254253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287286285286287289290290290290290287285282282282283284286286286286287287288288288288289289289289289289289289289287288288288288288287288288284283282282283285286286285282280282281279273268272273273275276278280282283284285286287287287288288288288288287287288289290289999287289290290290290289289288288287287286285282281999999999999999999999999999999999999999292288999277999267264267276279284288289289289999999999999999999999999999276278280278278280999999999999999999999999999999999285285285285285285285284283283283282282282283284285285285286286286286286285285285284283283284284283283284285286287287287287288288289289289290291292292292291291291291291292292292292292292292292292292292292292292292292292292292292292292292292292293292292292291291291290290290290290290290290290290290290290290290290289289287286284283283283283283284284284284284284284285284285285284285285285285285285285285285285285285286285285285285285285284285285285284284284284284284283283283283283282282282282282282282282282282283283283282282282282282283283283282282282282281281281281281281280280280280281280281281280280280281281281281280281281280280280280280279279278278278278278278278278278278278279278278278278278278277277277277277277277277277277277278278278278278279279279279279279279278277277277277277277277277276275274272272271271270270269268268268268267267266266266265266266265266266266266266266267267268268268268268268268268268268268268267267266266264263262262261260260260259259259259259259258258258257257256256256256256256257257257257257256256256256256256256256255255255256255255256255255256256256256255256256256257256256255255256257256256256256256256256256256256256256256257257257257256257257257258258258258259259260259260259259258258256256255254254254254253253254253252252253253253253254253253254254254254254254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289288288289291292293293292291289285284282281281281284285286286286287287288288288289289289289290290291291290289288289289289289288288288285283284285286287288289288288287286284281280278277278279279280282282283285285286287287288288289288289289289289289289289290290290290291290290290288288288287286286285282281280278999999999999999999999999999999999999999292290277270269263262999999285286289289289999999999999999999999999999999279279281280279282999999999999999999999999999999999286285285285284284284283282282282281281282283284285285285285286286286285285285285285284285285285284285286286286287287287287288289289289289291292292291292292291291291291291292292292291292292293292292292291291292291292292292292292292292291291292292292292292291291290290290290290290290290290290290290290290290290289289288286284283283283283283283283284284284284284284285284284284285285285284285285285285285285285285285285285285285285285284284284285284284284284284284284284283283283283283283283283283282282282282283283283283283282283283283282283282282282282281281281281282281280280281280281280281281281280281281281281281281281281281280280280280280279278278278278278278278279278278278278278278278278278278278277277277277276276276277276276277277277277278278278278278279278278278277277277277277277277277277277276275274273272271271270270270269269269268268268267267267267267267267267267267267268268269269269269269269269269269268268268268268267267265264263263262262261261261260260260260260259259259258258258257257256257257257257257257258257257257257257257256256257256255255256256256256256256256256257256256256256257256256256256256257257257257257257257256257257256257257257257257257257257257257257257258258258258259259260259260260260260259258257256255255255254254254253253253253254254254254254254254255255255255255255255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290290291293294294294293292288286285283280279280283285285285285286287288288289288289289290290291291291291290290290290291290290289288288286287288289289290290290291290290288282283284284285285284284283284284287288288288288289289289290291291290290290291291291291291291290289288288287287286286285285282279278999280282285285999282281282283285285999999999287284274261260260999999999286999999999999999999999999999999999999999999999278280281281999999999999999999999999999999999285285285285285284283283283282281281281281282284284285285285285285285285285285285285285286285286286286286286287287287288288288289289289290291292292292292292292291291291291291291292292292292292292292291291292291291291292291291292292292291291291292291291291291291291290290290290290290290289290290290290290289289289289289286285284283283283283283283283283283283284284283284284284284285285285285285285284285285285285285285285285285285285285284284285285285285284285285285284284284283283283283283283283283283283282282283283283283283283283282282282282282282282281281282281281281281281281281280281281281281281281281281281281281281281281281281280280280280279279279279279279279279279279278278278278278278278278278278278277277277276276276276276276276276277276277277277277278277277277277277277277277277278278278278277277276275275274273272271271271270270270269269269269268268268267268268268268268269269269269269269270269269269269269269269269268268268266265264263263263263263263262262262261261261260260260259259258258258258258258257257257258258258258257257257257257257257257256255255256256256256256256256257256256257257257257257256257257258258258258258257258257257257257257257257257257258258258258258257258258258258259259260260260260260260260260259258258257255255255254254253253253253254254254255255255255256256256256256256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292292293294295295295294293290287287286282279279283285285284285286287288289289290290290290291291291291292291290291292292291291291290290290290291291291291292292292292291290289289290289289288287287286286287289289288289289290290291291291291291291291291292291291291290289287286999286285284284281280277999999999999999285282281283282282282282282282281271268269267266264999999999999999999999999999999999999999999999999999999999999279282283282282999999999999999999999999999284285285285285285284283283282282281281281281283284285285286286285285285285285286286286286286286286287286286287287287288288289289289289289290291291291291292292292292291291291291291291292291292292292291291291291291291291291291291291291291291291291291291291291291291291290290290290289289289289289289289289289289288289288287285284283283283283283282283283283283283283283284284284284284284285285285285284284284285285285285285285285285285284284284284284284285284284284284284284284284284284284283283283283283283283283282283283283283283283282282282282282282282282281281282282281281281281281281280280281281281281281281281282282282282281281282281280280280280279279279279279279279280279279278278278278278278278278278278278278278277277276276276277276276276276276276277277277277277277277277277278278278278279278279278277277277277276275275274273273272272271270270270269269269269269269269269269269269270270270270270270270269270270269269269269269269268267266265265264264264264264264264264263263263263262262261261260260259259259259258258258258258258258258258258258259259259258258257257257256256256256256256256257257257257258258258258258259259259259258258259258258258258257258258257257258258258258258258258258258258259259259259260261261261261260260260260258257257257255255254255254254254255255255256257257256256257258257257257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294295296296296295294293291289287283279278281283284285286286287288289289290290290290291291291292292292291292292293292292292291291291291292292292291292292292291291290290290290289289289289288288288289289289289289290291291292292292291291291291291291291290290289287286284999283282280278278278278999999999999999999284284285284281280278277276273272273270269270269999999999999999999999999999999999999999999999999999999999283284285286285284284285999999999999999999283284284284284284284283282282281281281281282282284284285285285285285286286286286286286286286286286286286286286286287287287288289289289289290291291291291291291291292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289288288289289289289289289289289288288287285284283283283283283283283283283283283283283283284284284284284284284284284284285285285285285285285285285285285284284284284284284284284284284284284284284284284284283283283283283283283283283283283283283283282282282282282282282282282282281282282281281281281281282281281281281281282282282282282282282282282281281281282281281280280280280279279279279279278279278278278278278277278278278278278278278278278278277277277277277277277277277277277277277277277277277278278278278278279279279279279278278277277277276276275275274274274273272272271270270270270270270270270270270271271272271271271271271270270270270269269269269269268267266266265265265265265265265265265265264264264264264263263262261261260260260259259259259259259259259259259259260260260259259258258257257257257257256256256257257258258258258258258258259259259259259259259259258258257258258257257258258258259259258258258258258259259259259260261261261261261261261261260259258258257257256256255255256255255255256256256256256257258257257258258258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294295296297297295295294292290288283280276280283284285286287287288289289291291291291291291291292292292291292293293293293292292292292292292292292292292292292291291290290290289289288289289288288288289289290290291291292292292292292291291291291292292291291289287285283282281279279280277280282999999999999999999999287287286286999999275275276276277277275270270999999999999999999999999999999999999999999999999999999283284286286287286285285285284999999999999999999282284284284284284283282281281280279280281282283284284285285285285285286285286286286286286286286286286286286286286287287288288289289289290291291291291291291291291292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289289289289288288288289288288288288288288288287286284284283283283283283282283283283283283283283284284284284284284284284285285285285285285285285285285285285285285285284284284284284284284284284284283284284284284284284284284284284283283283283283283284283283283283283283283282283283282282282282282282282282281282282282282282282281282282282282282282282282282282281281282281281281280279279279280279279280278278278278279278278278277277278278278278278278278278278278278278278278277277277278278278278278278278278279279279279280279279279279279278278278277277277276276275275275274274274273273273272272271271271272271272272273273273273272272272271271271271271270269269269269268267267267266266266266266266266266266265265265265264264264263264263263263263261262262260260260260259260260261261261260260260259258258258258258257257257256256257257258259259258259259259259259259260260260259259258258258258258257257258259259259259259258258258258259259259260261261262262262262261261261260260259258258258257256256256256257256256256256256256257257258258258258258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294295296297297297296295295293291287283279276280283284286286286287288289289290290290291291291292292292292292293292293293293292292292292292292292292292292292291290290289289288287999999286287288289289289290291291292292292292293292292292291292292292292291290288286284280279278276279280999999999999999999999999999999999999999999999999999273272272274274272999999999999999999999999999999999999999999999999999999999283284285286286286286285285285284999999999999999283283283284284283283282281281280279280280281282284285285285285285285286285286285285285285285285284285285284285285286286286287288289289289290291291291290290290291291291291292292291291291291291291291291291291291291290290290291291291291291290291291291291291291290290290290289289289289289288288288288288289288289289289288288287285284283283283283283282283283283283283283283284284284284284284284284284285285285285285285285284285285285285285284284285284284284284284284284284284284284284284284284284284284284283283283283283283284284284284283283283283282283283283282282282282282282282282281282282282282282282282282282282282282282282282282282282282282282281281281281280281281281281281280280279279279279279278278277277278278278278278278278278278278278278278278278278278278279278279279279279279279279280280280280279279279278278278278277277277277276276275275275275275275274273273273273273273273273274273274274274273273273273272272271271271270270270270269269268268268267267267267267267267267266266266265265265265265264264264264264263264263262262262261261261261261261261261261260259258258258257257257257257257257257258259259259260260260259259260260260261261260260259259259259258258258259259259259259259258258258259260260260260262262262262262262262261261261261260259258258258257256257256257257257256256257257257258258257258258258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296296298297297296296294291286282279277282284285286287287288289289290290289290290291292292292292292292293293293293293293292292292293293293292292292292291289288287999999999999999999286288289290290291291292292292293293292292292292292291292292292291289288286281276277278277999999999999999999999999999999999999999999999999999999269269266267270274277999999999999999999999999999999999287288287287286999999999285285285285285286286286286285285284283283283283283283283283283282282281281280279279279280282283284285285285285285285285286285285284284284284283283283284284284285285286286286287288289290291291290290290290290290290290291291292292291291291291291291291291291291290290290291291291291291290290290291291291291291290290290290289289289289289288288288288288288288288288288287287286285284283282282283282282283283283283283283284284284284284284284285285285285285285285284285285284285284284285285284285284284284284284284284284284284284284284284283283284284284284284283283283283283283284284284284283283283283283283283283283282282282283283282282283282282283283282282281282282282282282282282283282282282282282282282281281280281281281280280280281280280280280280279279278278278278278278278278278278278278278278278278279279279279279279278278278278279279279280279280280280280279278278278278278278278278277277276276275275275276275275274274274274274274274274275275274274274273273273273272272272271271271270270270270269269268268268268268268267267267267267267266266265265265265265265265264265264265265265264262262262262262262261261261260260260259259259258258258258258258259259260260260261260260260260260261261261261261261260260259259259258259259259260260259259259259260260261260261261262262262262262262263262261261261261260259258258258257257256257257257256257258257258258258258258258258258258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296297297297298297296294291285282277278283285285286288288288289289289289290290291291292292292292293292293293293293292292292291292293293292292292292291290289287999999999999999999999286288290291291291292292292293292293292292293293293292292292291290289288285279278999999999999999999999999999999999999999999999999999999999999274272268263265271274274999999999999999999999999999288288289288288288287287999284285285285285285285286286285285284283283283283283283283283282282282281280280279278278279280282283285285285285285285285285285285284283283282282282282283284284284284284285286286288288289290291291290290289289289290290290290291291292291291291291291291291291291290290290290290290291291290290290290290291291290290290290289289289289289289288288288288288288288288288288288287287285284284283283282283282282282282283283283283283284284284284284284284285284285285285285284284285284284284284284284284284284284284284284284284284284284284283284284283284284284284284284283283283283283283284284284284284283283283283283283283283283283283283283283283283283282282283282282282282282282282282282282282282282282282282282282282281281281280280280281281280281281280280280280279279278278278278278278278278278278278278278278279278278278279279279279279278278279279279279279280280281281280278278279278278278278278277277277277276276276276276276275275275274275275275275275276275275275274274274273273273272272271271271271270270270270269269269268269268268268268267267267266266266266266266266266266266265265265265265265264263263263263263262262262261261261260260260259259259259259259260261261261261261261261260260260261261262262262261261261260259259259259260260260260260260259260261261261261262262262262262263263263262261261261261260260259258258258257257257257257257257257258258258258258259258258259259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295295296297297298298296294290285281277281282285286287288287288289288289289290290291291290291291292292292292292292292292292291291292293293291292292291291291290289999999999999290290290290291291291292292293293293293293293293293293293293292291290289287286286282281280999999999999999999999999999999999999999999999999999999999999999999271260261266269272274274999999999999999999999288289288288288288287287284284285285284285285285285286285284284283283283283284284283283282281281280279278278279279279280283284285285285285285285286285285284283282282282281282282282283284284284283284285286288288289290291290289289289289289290290290290291291291291291291290290291291291291290290290290290290290290290290290290290290290290290290289289289289289289288288288288288288288288288288288288287286285284284284283283283283283282282282283283283284284283284284284284284284284284284285284284284285285284284285284284284285285285285285284284284284284284284284284284284284284284284284284284283284284284284284284284284284283283283283283283283283283283283283283283283283283283283283282282282283282282282282282282282282282283282282282282282282282281281281281281281281281281280280280280280279279278278278278279279278279279279279279279278278278278279279279279279279278279279279279279280280281280280279279279279279279278278278278278277277277276276276276276276276276276275275276276276276276276275275274273272272272272272271271271271271271271271270269269269269269269268268268268267267267266266266266266266266266266266265265265265264264264263263264263263262262262262261261261261260260261261261262262262263263262263261260261261261262263262262262261261260260259260260260260260260260260260261262261261262263263263263263263262262262261261261261260260259259258258257256256256256257257258258258259259259259259259260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297298297299298296293289283280278279280283285287287284286287288288289290290290290290291291291291292292292292291291292291291292293293292292292291292292292292290292292292292292292291292292292292292293294293294293293293293293293293292291290289286285284280280281284999999999999999300300999999999999999999999999999999999999999999999260260264270273275999999999999999999999288289288287288287287287287286285285285284285285285285285285285284284284283284284283283283282282281280279279279279279279280283284285285285286286286286286285284282282281281281282282282283284284282281283284285287288289290290290289289289289289290290290290290291291291291290291291291291291291291290290290290290290290290290290290290290290289289289289289288288288288288288288288288288288288288288288288287285284284283284283284283283283282282282283283283283283283283284284284284284284284284284284284285285284284284284284284284285285285285285284285285285285284284284284284284284284284284284284284283283284284284284284284284283283283283283283283283283283283283283283283283283283283284283283283283282282282283282282283283282282283283282282282282282282282282281281281281281281280280280279279279279279278278278278278279279279279280280280280279279278278278278279279279279279279279279279279279279280280279280280279279279279279278279278278278278277277277276277277277277277276276276277277277277276276275275274274273273273272272272272272272272272272272271271270269269269269268269269269268267267267267266266266266266266266266265265265265265265265264264264264264264263263263263263263262262262262262263264263263263263263263263262261261261262262263263262262261261261260260260260260260260260260261261262261262263263263263263263262263262262261261261261261260260260259259258257257257257258258258258258258259259259260260261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297297297298298297296293289282281277278279282284286285286287287288287288289289290290290290291290290291291291291291291291291291291292293293293292292292292293293292292293293293292292292292293293293293294294294294294294294294294293292292291291289287284282280281282283290295999999999299298999999999999999999999999999999999999999999999269265269276280280999999999999999999287288288288288287287287287286286286285285284284285285285285285285284284283283284283283282282282282280279280280279279280278280283285285285285286286286286285285283282282281281281281282282283283283282281282283285287288289289290289289289289289289289289289289290290291290290290290291291291291291290290290290290290291291290290290290290289289289289289288288287287287287287288288288288288288288288288288286285285284284283283284284283283283283283282283283283283283283283283284284284284284284284284284284284285285285285285284284284285285285285285285285285285285284285284285285285284284284284284284284284283283284284284284284284283283283283283283284284284284284284284284284283282283283283283283283283283282282282282283283283282282282283283283282282282282282282281281281281281280280280279279279279279279279278278279279279279280281281281281281280280280279279279279279279280280280279279279279279280280279279280280279279279279279279279280279279278278278277278278278278278278277278277277277277277277277276275275274274273273273273272272272272272272272272272272271271270269269269269269269269268268268267267266266266265265265265265265265265265266266265265265265265264264264264264264264264263264263264264264264264264264264264263263262262262262263263263263262262261261261261260260260260260261261261262262262263264264264263263263263263262262262261261262261261261261260259259258257257258258258259258259259259260260260261261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298298297297296293289283281281282282284285285286287288288287288288289289290290290290291290290291291291291290290291292292292292293294294294293293293293293293293293293293293293293293293294294294294294294294294294294294294293293292291289287286284285285284285999999297999999999296294294999999999999999999999999999999999999999999271269275282284282286999999999999286288288288289288287286287286286286286285285285286286285285285284285284284284284284283283282282282281280280280280279279280278279283285285285286286286286286285284283282282281280281281282283283283283283282282283285287288289289290289289289289289289289289289289290290290290290290291291291291291291290290290290290290290290290290290290289289288288288288288287287288288288288288288288288288288288288288287286285284284284283283284284283283283283282283283283283283283283283283283283284284284284284284284284284284284285285285285285285285285285285285285285285284285285284284285285285285284284284284284284283283283284284284284284284283283283284284284284284284284284284284284284284283283283283283284283283283283282283283283283283283283283283282282282282282282282281281281281281280280280280279279279279279279279279279279279280280281281282282282282282281281280280279279279279279279279279279279279279280280280280280280280280280280280280280280280279279279279279279279279280279279279279278278278278278277277276276275275275274274274274273273273273273273272272272272272272271270270270270270269269269269268268267267267266266266266265265265265265265266266266266266266266266265265265264264264264264264264264265265264265265265265264264264264263263262262263263263262262262261261261260260260261261261262262262263262264264264264264263263263263262262262261262262262261261261260260260259258258258258258259259259259260260260261261261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298298298297296294291288285284285284283283285287288289289289288287287289290290291290290290290291291291292291291291292293294294294294294295294294294294293293293293293293294294294294294294294295295295294294295294295294294294293293292291289283288289290291289288290999999999999999999999294294999999999999999999999999999999999999999999278283285286286287286999999999286288288289289288287287286286286286286285286286286286286285284285285285284284284284283283282282281280280280279279279279280278279283285285286286286286286286285284283282281281280281281282282282282282283283283284285286287288289289289289289288289289289289289289289290290290289290290290290290290290290290290290290290290290290289289289288288288288288288288287288288288288288288288288288288288288287287286286285284284284284283283283284283283282283283282282282282283283283283283283283283283283283284284284284284285284285285284285285285285284285285284285284285285285285285285285285285284284284284284283283283284284284284284284283284284284284284284284284284284284284284284284284284283283283283283283283283283283282282282283283283283283283282282282282282282282281282281281281280280280280279279279279279279279279279279280281281282281282282282282282282282281280280279279279279279279279279279279279280280280280280280280280280280280280281281281281281280280280281281281281281280280280279279279278278278278277276276275275275275275275274274274273273273273272272272272272272272271271271271270270270269269269268268268267267267267266266266266266266266266266266266266267266266266265265265265265265265265265265265265265265265265265265265265264264263263262263262263262262262261261261261261261261262262262263263263265265264264264263263263263262262262262262262262262262261261261261260259258258259259259259260260260261261261261261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299299298297296292291289287286285285285286288289289289289288288287288289289289290291291291291291292292292292293292293294294295294294295295295295294294294293293293294294294295294294294295295295295295295295295295294294294294293293290999285285289291292292291292292292999999290294999999292293999999999999999999999999999999999999999281286288288288288287286285285285287288289289289288287287287287286287286286286286286286286286285285285284285285284283283282282282282281280280279278278279280279279283285285285286286286286286285284283282281280280281281282282281281282283283283284285286287288288289289289289288288289289289289289290290289289289289289290289290290290290290290290290290289289289289288288288288288288288288288288288288288288288288288288288288287287287287286285284284284284284284284284283283283282282283282282282282282282283283283283283283284283284284284284284284285285285285285285285285285285285285285284285286285285285285285285285285284284285284284283284283283284284284284284284284284284284284284284284284284284284284284284284284283283283283283283284283282282282281281282282282283282282282282282282282281282282282281281281280280280279279279279279279279279279279280281281281282282282282282282282282282281280280280280279279279279279279279279279280280280280280281281281281281281281282282282282282282282282282282282282281281281281281280280279279278278278277276276275275275275275275275274274274274273273272272272272273272272272271271271271270270270269269269269269268268268268268267267267267267267266266266266266266266265266266266266266265265265265266266266266265265265265265265265265265264263263263263263263263262262262262262262262263262262263263263265265265265264264263263263263263263262262262262262262262262262261261261260260259259259260260260260261261261261261261262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298299298297295294292290288287286287287290291290290290290289289288287287288288289290291292292292293292292293294294294295295295295295295295295295294294294293293294294294295295295295295295295295295296296295295295294294294294294291289999999287289291292292292293292291288288285288999288291296999999999999999999999999999999999999282287288289289289288288288287287287287288288288288288287287287287287287287286286286286286286286286286285285285285284283282282283283283281280280279279280280280279279283285285286286286287287286286285283282282281280281281281281281281282283283284285286286287288288289289289289288288288288289289289290289289289289289289289290290290289289289289289289289289288288287287288288288287287287287288288288288288288288288288288288287287287286286285285284284284283283283283283283282282282282282282282283282282282282283283283283283283283283283284284284284285285285285285285285285285285284285286285285286286286285285285285285285285285284284284284284283283283283284284284284284284284284284284284284284284284284284284284284284284283283283284283283282282282282282281282282282282282282282282282282282281282282281281281281281280280280280280280280279279279279280281281281281282282282282282282282282282281280280280280279279279279279279279279279280280280280281281281281282283283283283283283283283283283284284283283283282282282282282281280280279278279278278277276276276276276276276275276275275275274274273273273273273273272272272272271271272271270270269269269269269268269269269268269269268268267267266266266266266266266266266266265265265265265265266266266266265265265265265266266266265265264264263263263263263263262262262262262263263263263263263264265265265265264264264263263263263263263263262263263263263263262261261261261261259259260260260260261261261261261261262262263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297296295292291289288287287288291291291291291291290289288287287287288289291292293293293294294294295295295295295295295295295295295295295294294294294294294294295295295295295295295295295295296296295296295295295295295295293292292291290290292293293293293291289291290285282284285295298999999999999999999999999999999999280285288288289289288288288288288288288288288289289289288288288287288287287287287287286286286286286286287286286286285283282282283283283282281280280279280280279280279280283285285286286287287287286286285283282281280280280281281281280281282283284284285286287287287288289289289289289289288288289289289289289289289288289289288289290289289288288288288288288287287287288287287287287287287287287287288288288288288288288288288287287286286285285284284284284284283283283283282282282282282282282282282282282282282282282283283283283283283283283283283284284284285285285285286285286285286285285285285286286286285285285286285286285285284285284284284284284284284284284284284285284285285284284284284284284284284284284284284284284284284283283284283282282282282281282282282282282282282282282282282282282282282282282281281281282281281281280280280279280279279280281281281281281282282282282282282282282282281280280279279279279279279279279279279279280280280280281281281282282282283283283284284283284284284284284284283283283282283282281280280280280279279279279278277277277277277276276276276276276276275274274274274274274274274273272272272272272272271270270270269269269269270269269269269269269269268267267267267267267267266266266266265265265265265265266267267266266266265266266266266266266266265265264264263263263263263263263263263263263263263263264264265266265265265264264264264264263263263263263263263263264263263262262261261261261260260260261261261261261262262262262263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297295293290288287287289291291291292292291290289288287287288288289290292293295295295295295296296296296296295296296296295295295295295295294294294294294294294295295295295295295295296296296296296296296295296296296295295295294293292293293294294293292292293292999999999999296297999999999999999999999999999999999284287288288289289288288288289288288289289290289290289289289288288288289288288288287287287286286286286287287286285284284283283283283283283282280279279279279278278278280282285285286287287287287287286285284282282280280280281281281281282282284284285286287287288288288288288289289289289289289289289289288288288288288288288289289289289289288287287287287287287287288288287287287287287287287287287287287287288287288287287287286286286285285285285284284284284283283283282282282282281282282282282282283282282282282282282282283283283283283283283283284284284285285285286286286286286286286286286286286286286285285285285285285285285285284284284284284284284284284284284284284285285285284284284284284284284284284284284284284284284284284283283283282282281281281282282282282282282282282282282282282282282282282282281281281281281281280280280280279280279280280281281281281282282282282282282282282283283281280280279279279279279279279279279279280280280280281281281282282282282283283284284284284284284284285284284284283283283283282281280281280280280280280280279278278278277277277276276277276277277276275275275274274274275274274274273273273273272272271271270270270270270271270270270270270270270269269268268268268267267267267267266266266266266266266266267267266266266266266266266266266266266266266265265264264264263263263264264264264263263264264264265266266266265265265265264265265264264264263263263264264264264264263263262262262261261260261261262261262262262262262262263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298297295291288286286288291290291292291291290290289288288288289289290292294294295295296296296296296296297296296296296296296295296296295295294294294294294295295295295295295295296296297297297297297297296296296295295295295294294293293293293295294294293294293999999292294294999999999999999999999999999999999284286287288288289289289288289289289289289289290290290290290289289289289289289288288288287287287287287287286287287286285285285284284283283284283282279278278278278278279281282285286286287288287287287287285285283282281280280281282282283283283285286287287288288288288288288288288288289289289289288288288288288288288288288288288288288288288288287287287287288288288288287287286287286287286286286287287287287287287287287286286286285285285285285285285284283283283283282283282282282281281282282282282283282282282282282282283283283283283283283283284284284285285285286286287286286286286287286286286286286286285285285285285285285286285285284284284284284284284284284284284284284284285284285285284284284284284284284284284284284284284284284284283282282282281281282282282282282282282282282282282282282282282282281281281280280280280280280280280279280280280281281281281281281282282282282282283283283283281280280279279278279279279279279279280280280280281281281282282282282282283284284284284285285285285285285285285284284283283283283282281281280280280280280280279279278278278277277277277277277277276276275275275275275275275275275275274273273273273273272272272271271271271271271271271271271271271270270270270269268268268267267267267267267267267267268267267266266266266266266266266266266266266266266266266265265264264264264264264264263264264264265265266266266266266265265265265265265265264264264264265265264265264264263263262262262261261261261261262262262263263263263264265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300298295291289287285286288288289290290290291291290289289290290290291292293294295295296296297298297297297297297297297296296296296296296296295295295294295295296296296296296296296297297297297297298298297297296295295295295294295294294294295294295295295295294999288294295296999999999999999999999999999999999285287287288289289289289289289289290290290290290291291290290290289289289289289288288288288287287287287287287287287287287286286285284283283283283283281279278278278278280281282285286286287288288288287287286285283282282280280281282283283284284285287287287288288288288288289289288288288288288288288288288288288288288288287288288288287287287287287287288288288287287287287287287286286286286286286286286286286286286286286286286285285285285285285284284284284283283283282282282282282281281282282282282282282282282283282282282283283283283283283283283283284285285285286286286286286286286286287286286287287286286285285285285285285285285285285284284284283283284284284284284284284285285285285285284284284284284284284284284284284284284285284283283282282282282282282282283283282282282282282282282283282282282281281281281281280280281280280280280280280280280281281281281281282282282282282283283283283283281280280279279278279279279279279280281281281281281282282282282283283283283284284284285285285285286286286285285285285284284284284283282282281281281281281281280280279279278278277277277277277277277276276276276275275275275275275275275274274274274273273273273273272272272272272272272271271271271271271271270270269269268268269269269269268269268268269268268267267267267267266267267267267267267267266266266266265265265264264264264264264264265265265266267267266266266266266266266266265265265265265265265265265265265265265264263263263262262261261261262262262263263263264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300296291289287286286287287288289290291292292291291292292292292292291292293294295296297297298297297297298298297297297298297297297297297296296296295295296296296296296296297297297298298298298298298298298297296295295295295295294294295295295295296296295294289292294999999999999999999999999999999999999999287288289289290290289290290290290290290290290290290291291290290290290289289289289289289288288288288288288288288287287287287287286286284284283284284283281279279279280281282283285286287287287288288287287286285284283282281280280282283284285285287287287287288288288288288288289288288288288288288288288288288288288288287287287287287287287287287287287288288287288287287287287287286286286286286286285285285285285285285285285285285285285285285284284284283283283283282282282282282282282282281282282282282282283282282282282282283282282283283283283283283284284285285286286286286286286287287286286286286286285285286285286285286286285285285285285285285284284284284284284285285285285285285285285285284284284284283283283283284284284284284284284283283283282282282282282282283283282282282282282282282282282282282282281281281281281281281281281280280281281281281281282282282282282282282283283283283283283282280279279278279278279280280280280281281281281282282282282283283283283283284285285285285286286286286286286285285285285284285284283283282282281282282282281281281280280279279278278278278278278277277277276276276276276276276275275275274274275275274274274274273273272272272272272272272272272272272271271271270270269270270270271269269269269269269269269268268267268268268267267267267267267267267267267267267266266266265265265265265265265266266266267267267267267267267266266266266266266266265265265266266266266266266266265265264263263263262262262262262263263264264265266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299293289289288286287288289291291292293293293292292292293292292292292293294295296297297297297298298298298298298297298297297298297297297297297296296297296296297297297297298298298298298298298298298297296295295296296295295295295295295296296297296296294292290999999999999999999999999999999999999999286288289289290290291291290290291291290291291291291291291291291291290290290290289289289289289288288289288288288288288287287287287287287286285285284285285284284282282282283283284285286287287288288289288288287286284283282282281281282283284285285286286286287288289289289288288288288288288289288288288288288288288288287287287287287286287287286287287287287287287287287287287287286286286286286286286285285285285285285285285285285285285285285284284284284284284283282282282282282281281281282281282282282282283283282282282282283282282282283283282283283283284284285285285286286286286286286286285286285285286285286285286285285285285286285285284285285285285285285285285284285285285285285285285285285285284284284284283283283284284284284284284283283283283282283282283282282282282282282282282282282282282282282282282282282282282282282282282281281281282282282282282282283282282282282282282282283283283283282280279279278278279279280280280281281282282282282282283283283283283284284284285285286286286286286286286286286286286286285285284284284284283282282282282282282281282281281280279279279279279278278278278277277277277276276276275275275275275275275275275274274274274274273273273273273273273272272272272271271270270271271270270270269269268268268268268269269268268268268268268267267267268268268268268268268267267266266266266266266266266266266266267268268268268268267267267267267267267267266266266266266267267267267267266266266266265264264264264263263264264264265265266267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308999999999999999999999999999294290287289287286289291291292293294294294293292292292292291291292292294295296297297297297298298298298298298298297298298298298297297297297297297298297297297297298298298298298298298298298299298298296297296296296296296296296296296297297297295295295293292999999999999999999999999999999999999999287288289290290291291291291291291291291291291291291291291291291291291291290290290290290289289289289289289289289289288288288288287287287287287287286286286286286286284284284284284285287288288288289289289288287286285284283282282282282283284284284285285286287288289289289289289289289289289289289289288288288288288288287287287286286285286287286287287287287287287287287287287286286286286286286286286285285285285285284285285285284284284284284284284284284283283283282282282282282281282281281281282282282282283283282282282282282282283283283283283283283284284284285284285285285285285286285286285285285285285286285285285285285285285285285285285284285284285285285285285285285285285285285284285285285285284284284284283283283283283283284284283283283283283282283283283282282282282282282282282282282282282282282282283282282282282282282282283282282282282282283283283282282282282282282282282282283283283283282280279279278279279280280281281281282282282282283283283283283284284284284285285286286286286286285286287287288287286287286286285285285285284284284284283283282282282282281281280280280280279279279279278278277277277277276276276276275275276276276275275275275274274274274274274273273273273274273272272272271271271271271271270270269270269269268268268268268268268268268268268268268268268268268268268268267268268267267267267266266267267266267267269269269269269268269268268268268268268267267267267266266267267267267267267267267267267266265265265265265266266266267267267267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308999999999999999999999999999999292290288288288291292292294295295295294294293293293293293292293293294295296297297297297298298298298298298298297298298298298298298298298298298298298297297298298298298298299298298299299299298298298297297297297296296296296296296297296296295295294293292999999999999999999999999999999999999999287289290290291292291291292291291291292292292292292291291292291291291291291290290290290290290290289289289289289289289289288288288288288288288287287287287287287287286285284284284285287288288289289289289289288286286285284283282282282283284284285285285285286287288288289289289289289289289289288288288288288288288287287287286286286286286286286287287287287287287287286287286286286286286286286286286285285285284284284284284284284284284284284284284283283283283282282282282282282281281281281282282282282282282283282282282282282283283283283283283283283284283283284284284284284285284285285285285284285285285285285286285285285285285285286285285284284284285285284285285285285285285285285285285285285285285284284284283283283283283283283283283282283283283282282283283283282282282282282282282282282282282282282282283282282282282281281282282282282282282282283283283283282282282282282283283283283283283283283281279278278279280280281281282282282282282283283283284284284284284284285285285286286286286286286287287288287287287288288288288287286286285285285284284284284283283283282282282281281281280280280279279279278278278277277276276276276276276276276276275275275275275274274274274274273273273273273273272272272272272272272272271270270270270269269268268268268269268268268268268268268268269269269269269268268268268268267267267267267267267267267268270270270270270270269269269269269269268268267267268268268268268268268268268268268268267267266266266266266267267267268268268267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309999999999299301999999294291289290290292293294294295295295294294294294294294293294294294294296296297297297297298298298298298298298298298298298298299299298298298298298298298298298298298299299299298299299299299299299298298298297297297297296296296296296296295295295294292292293999999999999999999999999999999999999288290290290291291291292292292291291291291292292292292292291291291291291291291291291291291290290289289289289289289289289289289289289288288288288288287287287288288287286285286285285287288288289289290290289288287286285284283283282283283284284284284284284284286287287288289289289289289288287287287287287288288287287287286286286285286286286287287287287287286286286286286286286286286286285285285286286285285284284284284284284284284284284284284283283283283283282282282282282282282281282282282282282282282282282282282282282282283283283283283283283283283283284284283284284284284285285284285284284285285285285285286286286285285285285285285285285285284285285285285285285285285285286286286286285285285285285284284284283283283283283283283283283283283283283282282283282283283282282282281281281282281282282283283283282282282281281282282282282282282282282283283283283282282282282283283283283283283283283282281279278278279280281281281282282282282283284284284284284284284284285285285286286286286286286287287287287287288288288288288288287287286286286286286285285285284284284283283283283282282282281281280280279279279279278278277277276276277276277277276276275275274274274274274274274274274274273273273273273273272272272272272271271271270270270269269269269269269269269269269269269269269269269270270269269269269269269268268268268268268268268269269270271271271271270270270269269269269268268268268268269269269269269269269268268268268268267267267267267267268268268268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310999999999999299298295293291291290292294295295295295295294295294294294294294295294295295295296296297297297298298298298298298299299298298299299299299298298298298298298298298298298299299299299299299299299299299299299298298298297297297297296296295295295293295295294294293293999999999295293999999999999999999999289290290291291292292292292292292291291291292292292292292292291291291291291291291291291291291291290290290289289289290290289289289289289288288288288288288288288288288288287286285286287288289289289290289290288287286286285284283283283283283284284284284283284285286287288289289289288288287287287287287287288287287287286286286286285286286286287287287287286286286286286286286286286285285285285285285285285285284284284284284284284284284283284284284283283283282282282282282281282282281281281281282282282283282282283282282283283283283283282282282282282282283283283283283283284283284284285284285284284284285285286286286286286285285285285286285285285285285285285285285285285285285286286286286285285285285285284284284283283283283283283283283283283282282282282282282282282282282281281281281281281281282282283283283283282282282282282282282282282282282282282282283283283283283283283283283283283283283283283281280279279280280281281282282282282283283284284284284284284284285285285286286286286286286286286286287287287287287288288288288287287287287287286286286285286285285284284284284283283283282282281281280280280280280279279278278277277277277277277277276276275275275275274274275274274274274274273273273273273273273273273273273272272272271271271271271270270270270270270270270270270270270270270270270270270270269269268268269269269269269269269270271271271271271270270269269269269269268268268268269269270270270270270270270271270270269269269269268268268268268268269269269269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308307999999999298297295293292293295295296296295295295295295295294294295295295295296295295296296297298298298298298298298299299299298299299299298298298298298298297297298298298299300300300299299299300299299299298298298297297297297297296296295295295294296296295294293293999999999294999999999999999999999289290290291291292292292292292292292292292291292292292292292292292291292291291291291291291291291291291290290290290290290290289289289289289289289289289288289288288288288288288287286286287288289289289290290290289288286286285284283283283283283283283283283283283284285286288288288288287287287286287287287287287287287287286286285286286286286287287287286286286286286286286286286286286286285285285285285285285285285284284283284284284284284284284284284283283282282282282282282282281281281281281281282282282282282282283282282282282282282282282282282282282282283283283283282283283283282283283283284284284285285285285285286286286285285285285285285285285284285285285285284285285285286286286286286285285285284284284284284283283283283283283283283283283282282282282282282282282282282281281281281281281281282282283283283283282282282282282282282282282282282282283282283283283283283283283283283283283283283283283282280279279279281281282282282282283283284284284284284284284284285285285285285285286286285286286286286287287287287288288287288288287287287287287287287286286286286285285285285285284284283283282282282281281281280280279279278278278278278277277277277277276276275275275275275275275275275275275275275275274274274275274274274274274273274273273273272272272271271271271271271270270270270270270270270269269270269269269269269269269269269269270270271271271271271270270270270270269269269269269269270271271271272272272272272272272272271271271271270270269269269269270270269268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306306306306304301297296295296297296296296296296296296296295295296296296295296296296295296297298298298298298298298298299299299299298298298297298298298297297298298299299299300301301300299300300299299299299299298298298297297297297296295295295294295295295294293292999999296296999999999999999999999290291291291291292292292292293292292292292292292292292292292292292292292291291291292292291291291291291291291291290290290290290290289289289289289288289289289289288288288288288287286286287288289289289289290289289288287286285285284283283283282283283283283283284284285287287288287287286286286287287287287287287287286286286286286286286287287287287287287286286286286286286286286286286285285285285285285285284284285284284283284284284284284284284284284284283282282282282282281282281281281281281281282282282282282282282282282282282282282282282282283283283283283283283283283283283283283283283283283283284285285285285286286286286286286285285285285284285285285285285285285285285286286286286285285285285284284284284284284284283283283283283283283283283283283283282283282283282282281281281281281281281281282283283283283283282282282282282282282282282282283283283283283283284284284284284284284283283283284284283282281279279279280282282282282282283283283284284284283283283284284285285285286286285286286286286286286286286287287288287287287287288288287287287287287286286287286286287287286286285284284284283283283283282282282281281280280279279279278278278278278277277277277276276276276276276276276276276276276276275275275276276276276275276275275275274274274273273273272272272272271271271271271271271271270270270270270270270270269269270270270270270271271271271271271270270270270270269269269270270271272272272272272272272272272273273272272272272272272271271271271271271270269269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307307306304301299297297297296297297297296296296296296296296296296296296296296296297297297297297298298298297298298299298298298298298298298298298298298298298299299300301301301300300300300299299298299299299298297297297297297296296295295294295295295294292999999999999295295999999999292292290290291292291292292293293293293293293292292292292292292292293292292292292292292292292292292291291291291291291291291291290290290290290290289289289289289289289289289289288289288288287287287288289289289289290290289289287286286285284284283283283283283283283283284284285287288288287286287287287287287287287287287286286286286286286286287287287287287287287286286286286286286286286286285285285285285285285285284284284284284283283283284284284284284284283283283283282282282282282282281281282282281282282282283283283283283283282283283283282282282282283283283283283283283284284283283283284284283283283283283283283284284285286286286285286286285285285285285285285285285285285286286286286286286285285284284284284284284284284284283283283283283283283283282282283283283283282283282282281281281281281281281281282283283283283282282282282282282282282283283283283283283283283284284284284284284284284284284284284284283283282280279279280282282282282282282283283283283284283283283284284284285285286285285285286286286286286286286287287287287287287288288288288288288288287288288288287288288288288287287286285284284284284284283283283283282281281280280279279279279278278278278278278278277277277277276276277277276276276276276276276277277277277276276276276276275275274274274273273273273273272272272272272272271271271271271270270270270270270270271270271271271271271271271271271271271271270270270270270271272272273273272272273273273273273273273273273273273273272272272272271271271270269269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307307305303300299297296296296296296296296296297297296296296296295296296296296296297298298298298298298298297297298298298298298298298298298298299299299299299300300300301301300301300300299299298299299300299299298297297297297295295296295295295296296295293293293999999999293999999999291291292291292292292292292293293293293293293293293293293292292292293293293293293292292292292292292291291291291291291291291291291290290290290290290289289289289289289290290290289289289288288287287288289290290290290290289289287286286285284284283283283283284284284284284284286288288288287287287287287287287286287287287287286287287287287287287287287287287287286286286286285286286286286285285285285285285285285284284284284284284284283283284283283284284284284283283283282282282282282282282282282282282283282282283283283283283283283283283283283283283283283283283283283284284284284284284284284284284284284283283283283283283284284285285285285285285285285285285285285285285285285285286286286286286286285284284284284284284283283283283283283283283283283283282282282283283283283282282282281281281281281281281281282283283283283282282282283283282282282282283283283283283284284284284284284284284284284284284284284284283283282281280279280282282282282282283283283283283284284284284284285285285285285285285286286286286286286286286286287287287287287288288287288288288288288288288287288288288288288288288287286286285285284284284283283283283282281281280280280279280279279279279279279279279278278278277277277277277277277276277277277277277277277277277277276276276276275275275274274274274274274274274273273273272272271271271271271270270271271271271271271271271271271272271272272272271271270270271271271272272273273273273273273273273273273273273273273273273273273273272272272272272271270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308307301301298298297294294294295296297297297297297296296296296296296296296297297298298299298298298298297297297297298298298298298299299299299299300300300300300300300301300300301301300299299299299300300299299299298297297297296295295295296296296296295294294294294294294293999999291291291292292292292292292292293293293293293293292293292293293293292293293293293293292292292292292292292291291291291291291291291291291291290290290290290290290289289289289290290290289289289288287287288289290290290290289289289288287286285285284284283283284284284284284284285286287288288287287287287287287287287286287287287287287287287287287287287287287287286286286286285285285285285286285285285285285285285285284284284284284284284283284284283283283284283283283283283282282282282282282282282282283283283283283283283283283282283283283283283283283283283283284283283284284284284284284284284284284284284284284284284284284284284283284284284284284284284284284285285285285285285286285286286286286286285284284284284284284283283283283282282283283283283283282282282282283282282282282282282281281281282282282282282282283283283283283283283283283283282282282283283283283284284284284285285285285284284284284284284284284284284283282281280281282282283283283283283283283283284284284285285285285285286286286286286286286286286286286286286286287287287287287287288287287288288288288288288288288288288287287287288287287286285285285285284283283283283282281281281280280280280280280280280280280280279279279278278279278278278278277277278278278278278278278278277277277276276276276276275275275275275275275275275275275274274273272271272271271271271271271271272272272272272272271271273273272272271271271272272272273273273273274274274274274274274274274274273273273273274273273273273273272271271270269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306300297296295296294294293294295297297297297297297296296296296296296297297298299298299298298298298298298298297298298298298299299299299299300300300300300301301301301301301301301300300299300300300300300299300299298298297297296296296296296295296296295294294294294292999291291291291291291292292292292292292293293293293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291291291291291291290290290290289290290290290290290290290289289289288288288289290290290290289289289288288287286285284284284283283283284284284284285286288288288287287287287287287287287286286287287287287287287287287287287287287286286286285285285285285285285285285285285285285285285285284284284284284284284284283284283283283283283283283283283283282282282282282282283283283283283283283283283283283283283283283283283283283283283284283283284284284284284284284285284284284284284284284284284284284284284284284284284284283284284284284285285285285284285286286286286286286285285284284284284284284283283283283282282282282283283283283282282283282282282282282282282282282282282282282282282282283283283283283283283283283283283283283283283283283284284285285285285285285285284284284284284284284284284283283282281280281282282283283283283283283283283284284284285285285285286286286286286286286285285285286286286286286286287287287287287287287287288287287287288288288288288288288288288287287287286285285285285284284284283283282282281281281281281281280280280280280280279279279279279279279279280279279279279279279279279278278278278278277277277277277276276276276276276276276276276276276276275275273273273272272272272272272272272272272272272272271272273273272272272272272273273273274273274274274274274274274274274274273273273273273274274273273273273273273271270270269269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297294294294294293293293293295297297297297297296296296296296296297297298298298298298299298299299299299299298299298299299300300300300300301300301301301302301301301301302301301301300300300300301301300300300300299298298298297297296296296296295296295294294293293292291291291290291291292292292292293293293293293293294293293293293293293293293294294294294293293293293293292293292292292292292292292291291291291291291291291291290290289289290290289290290290290290290290289289288288289290290290290289289289288288287286285284284284284284284284284284285285286288288288288287288288287287287287287286287287287287287287287287287287287286286286286286285285285285285285285285285285285285285285285285284284284284284284284283284283283283283283283283283283283282282282282283283283283283283283283283283283284283283283283283284283283283284283284284284284284284284284284285284284284284284285285284284284285285284285285285285285284284284284284284285285285285285285285285286286286286286285284284285284284284284283283282283282282282282282283283282283283282282282282282282282282282282282282282282282282283283283283283283283283283283283283282282283283283284284285285284285285285285284284284284284284283283283283283283281281281282283282282282282283283283283284284285285285285285286286286286286286285285285285285286286286286286287287287287287287287287287287287287287287287288288288288288288287287287287286286285285285285284283283283283283282282281282281281281281281281280280280279280280280281281281281281280280280280280280279279279278278278277278277277277277277277277277277277277277277277277277276275275274274274273273273273273273273273273273272272273273273273273272273273273274274274274274275275275275275274274274274274274274274273274274274273273273273272272271271270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300299298296295294293291290289289292294296296296297296296296296296296296297297297298298298298299299299299298299299299299299299299300300300300300300301301301301302302301301301301301301301301301301300301301301301301301300300299299299298297296297296295295295294293294294293292291290290290292292292293293293293294294294294294294294294294294294294294294294294294293293294294293293293292292292292292293293293292292292291291291291290290290289290289290290289290290290290290290290289289289290290290290290290290289289289288287286285285285285284285285285286286286286287288289288288288288288288287287287287288288287287288287287288288287287287287286286286286285285285285285285285285285285285286286285285285285284284284284284284283284284283283283283283283283283283282282283283283283283283283283283283283283284283283283283283284284284284284284284284284284284284284284284284284284284284284285285285285285285285285285285285285285285285285284285285285285285285285285285285286287286286285285285285284284284284283283283282282282282282282282282283282282282282282282282282282282282282282282282281282282282282283283282283283283283283283283282282282283283283284284285285285285285285285285284284284284284284283283283283283282281281282282282282282282283283283284284284284284285285285285285285286285286285285285286286287287286286286287287288287288287287287287287287287287287287287287287287287287287287287287287286286285285285284284284283284283282282282282282282282282282282281281281280280280280281281281281282281281281281281281281280279279278278278278278278278278278278278277278278278278278278277277277277276276275275275274274274274274274274274273273273274274274273273273273274274274274275275275275275275275275275274275274274274274274274274275274273273274273273272271270270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306304301300299297296293290289288287284290294295296296297297296296295296296296297298298298298298298299299299299299299299299299299298298299300300300300300300301301301301301301301301300300300300300300301301301301301301300301301301301301300299298297297297297296295294294294294293292290289999290291292292293293293293294295294294294294294294294294294294294294294294294294293294294293293293293292292292293293293293293293292292291291291291290290290290289289290289290290290290290290290290289290290290290290290290290289289289289288287285285285285286285286287287288288288288288289289289289288288288288287287287288288288288288288288288287287287287286286286286286286286285285285285284284284285285285285285285285285285285285284284284284284283283284284284284283283283283283283283283283283283283283283283283283283283283283283283283283284284284284284284283284284284284284284284284284284284284284284284284285285285285285285285285285285285285285284284285284284284284284284285286285285285285284284284284284284283283283283282282282282281281281282282282282282282282282282282282282282282282282282282281282282282282283282282283283283283283283283282282282282283283284285285285285285285285285284284284284284284284283283283283282282282282282282282282282283283283283283284284284284285285285285285285286286286286286285285286287287287286286286287287287287287287287287287287287287287287287287287287287287287287287287287286286285285285284284284284284283283283283283283283283283283283282282281281281281281281281281282282282282282282282281281281280279279278278278278278278278278278278279278278278278278278278278278277277277276276276276275275275275275275275274274274274274274274274274274274274275275275276276276275275275275275274274274274275274274274274274274273273273273272271270270271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312309309307305303302299298294291288286287289289291294295295296296297296296296296296296296298298299299298299299299299299299299299299299299300299300300300300300301301301301301301301301301301301300300300300300301301301301301301301301302302302301301300300299298297297296296295294294294293292291289999290291291292292293293293294295295294295295295294294294294294295294294294293293293294294294293293293292292293293293293294293293293292292291290290290290290290289289289289289289289290290289289290290290290290290290290290290289289289289288287286286285285285285286287287288288288288288288288288288288288288287287287287288288288288287287287287287287287286286286286286286286286286285285285284284284284284285285285285285285285284285284284284284284284284284284284283283283283283283282283283283283283283283283283283283283283283283283283283283283283284284284284284284284284284284284283284283283284283283284284284284284285285285285285285285285284285284284284284284284284284284284284286285285284284284284284284284284284284283283283283282281281281281281281281281282282282282282282282282282282282282282281282282281282282282282282282283283283283283282282282282282283283284284285285285285285284284285284284284284284284283283283283283282282282282282282283283283283283283284284284284284285285285285285285285285285285286286286286287287287287286286287287287287288287287287287287287287287287287287287287287287287287287287287286285285285285285285285285284284284284284284284284284284283283283283283283283283283283282282283283283284284284283283282282282280280279279279279278279279279280279279279279279279279279279278278278278278278277277277276276276276275275275275275275275274274274274274274274275275276275275276275275275275275275275275275275275275275275274275274273273273273272271271271271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313312312311310307305303303300298295291288288288289292293294295296295296296296296296297296297297297298298299299299299298299299300300300300300300300300300300300300300300301301302301301301301301300300300300300299300301301302301302302301302302302302301301300300300300298297296296295295294294294293291291290291291291292293293293294294295295295295295295294294294294294295295295294293294293293293293293293293292293293293293294294294293293293292292291291290290290289289289289289289289289290289289289289289289290290290290290290289289290289289288287286286285285285285285286287287288288288288288288288288288288287288288287287288288288288287287287287287287287286286286286286286286286286285285285284284284284284284285285285285285285285285284284285284284284284284284284283283283283283283282283282283282283283283283283283283283283283283283283283283283283284284284283283283283283284284283283282282283283283283283283284284284284285285285285285285285284285285284284284284284284284284284284285285284284284284284284284284284284284284283284283282282281281281281281281282282282282282282282282282281281282281281281281282282281282282282282282283283283283282282282281282282282283284284285285285285285285285285284284284284284284284283284283283283283283283283283283283284284284284284284284285285285285285285285285285285285285286286286286287287286287287287287287287287287287287287287287287287288288287287287287287287286287286286287286285285285285285285285285284285284284284284284284284283284284283284284284284284284284284284285285286286286285285284283283282281281281281280279279279279280280279279279280280279279279279279279278279278278278278278277277277276276275275275275275275275275275274275274274274275275275275275275275276276275275275275275275275275275275275275275273273273273273272272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313312313311310309309307304303301299297292289288289291292293294294295296297296297297297297297297297298298298298299299299299299300300301300301301301302301301301300301301301301302301301301301301300300300300300300299300301302302302302302301302302302302301301300300300299299298298297295296293999293294291999291291291292292292293294294294294295295295295295294294294294294295295295294294294293293293293293293292292293293293294294294293293293293292292291291290290290290289289289288288289289289289289289289289289289289290290289290289289289289289288288286286285284285285285285286286287288288288288288288287287288288289288287287288288288288287287287287287287286286286286286286286286286286285285285284284284284284284284284285285285285285285285285285284284284284284284284283283283283283283282282282282282283282283283283283283283283283283283283283283283283283284284283283283283283283283283282282282282282282282282283283283283284284284284285285285285285285285285285285284284284285284284284284284284284284284284284284284284284284283284283283283283282281281281280280281282282281282282282282282281282281282281281282282282282282282282282282282282283282282281281281282282283283284284285285285285286286285285285285284284284284284284284284284284284284284284284284284284284284284284285285285285285285285285285285285285285286286286287287286287287287287288288287288287288288288287287288287287288288288287287287287287286286286286286285285286286286285285285285285285285285285285284284284284284284284285284285285285285286286285286286286287286286285285284284282282282281281281280280280280280280280280280280280279279279279279278279279279279279279278277277277277276276275276276276276275275275275275275275275276276276276276276276276276275275275275275275275275276275275275275274273273273272273272272272272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310999310315312312313309308308307307306302300299298296293292290290291292293293293295296297297297297297297297297297298298298299299299299299300300300301301302302302302302302302301301301301301301301301301301301300300301301300300300300301302302302301302302302302302302302301301301300299299299298297297296999999999293291291292292292292292293294294294294295295296296295295294294294295295294295295294294294294294293293293293292292293294294294294294293293293293292292291291290290290290289289288288288288289289289289288289289289289289289289289289290289289289289289288286285285284285285285285285285286287288288288288288287287288289288287287288288288288288287287287287287287287286286286286286285285285286286285285284284284284284284284284285285285285285284285285285285285284284284284284284283283283283283283282282282282282282282283283283282283283283283283283283283283283283283283283283283283283283283282283282282282282282282282282283283283283284284284284285285285285285284284284285284285284285284284284284284284284284284284284284284284284284284284284283283283282282281281280280281282282281282282282282282281282282282282282282282282282282282282282282282282282282282282281282282283283283284285285285285285286286286286286285285285285285285285285284285285285285285285284285285285285285285285285285285285285285285285285285285286286286286286287287287287287287287288288288288288288288288287287288288288288288288287287287287287287287287287286286286286286286286286285285285285285285285285285285284284284284284284285285285285285285285285285286286286286286285285284284283282282281282282281281281281281281281281281281280279279279279279279279279279279279279278278278278277277276276277276276276276276276276276276276276276276276277276276276276276275275275275276275275275276275275275275274273273273273273272272273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310310313312317999999999302302303302299297295293291291290289289291293293294296296297297297297297297297298298297298298299299299300299300300301301302302302302302302302302302302302302301301301301301301300300301301301301301301301301302302302302302303302302302302302302301302301301300300299298298296294999293293292293293293293293293293294294294294295296296295295295295294295295294294294295295295294294294294294293293293293294294294294294294294293293293292292292291291291290289289289289288288288288288289288289289288289289289289289289289289289289289289289288286285285284284284284285285285285286287287288288288288288288288287286287288288288288288288287287287287287287286286286286286286286286286286286285284284284284284284284284284285285285285285285285285284284285285284284284284284284284283283283282282282282282282282282282282282282282283283283283283283283283284284283283283283283283282282282282282282282282282282282282282283283283283284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284283283283283282282282281281281281281282282282282282282282281282282282282282282282282282282282283283283282282282282282282282283283283283284285285285285285286286286285286286286286285285285285285285285285285285285285285285286286286286285285286286286286285285285285285286286286286287287287287287287287287287288288288288288288288288288288287287288288288288288289288287287287287287287287286286286285285285285285285285285285285284285285285284284284284284284284285285285285285285284285285285285286286286286286286285285284283282282282282282282281281281282281282282281281280280280279279279279279279279279279278278278278277277276277277277276276276276276277277277277277277277277277276276276276275275276275276276276275275275275275275275274274274274273273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301297296999292291291289289288290293294295296297297298298298298298298298298298298298298299299299300301301301302302302302302303303303303303302302302302301301302302301301301301301301301301301301302302303303303303303303302303303302302302302301301300299299299299297296296294293293294294293293293294294294294294294296296296295295295295294294295295295295295295294294294294294294293293293293294294294294294294294293293293292292292291291290290289289289289289288288288288288288288288288288288289288289289289289289289289289289288287286285284284284284285285285285285286286287287288288288288287286287287288288288288288288287287287287287286286286286286285285285285285285285285284284284284283283283283284284285284285285285285285285285285285285285285285284284284283283283282282282282282282282282282282282282282283283283283283283283283284284284283283283282282282283283282281282282281282282282282282283283283283284284284284284284284284284284284284284284284284284284284284284284284284284285285284284284284284284284283283283283282282282282281281281281281282282282282282282282282282282282282282282283282282282282282282282282282282283283283283283283284284285285285286286286286286286286286286286286286285285286285286285285286286286286286286286286286286286286286286286286286285285285285286287287287287287288288287287287287287287287288288288288288288287287287287287287288288288288287287287287287287287286286286285285285285285285285285285284284284285284284284284284284284284284285285285285285285285285285285285286286286286286286286285284284283283282283282281281282282282281282281280280280280279279279279279279279279279279278278278277277277277277277277277277277277277277277277277277277277277277276276276275276276276276276276276276276276276275275275274275275274273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301299292999999999289288290292292294295296298298298298299298298298299299299299300300299299300300300301302302302302303302303303303303303303303302302302302302302302301301301302301301301301301302302303303303304304303303303303303303302302302302301300299298299299298296296295294294294294293293293294294294295294295295296296295295295295294294295295295295295295295295295294294293293292293293294294295294294294294294293293292292292292291290289289289289289288288288288288288288288288288288288288288289289289289289289289289289288287286286284284284284284284285285285286286287286287287288288286286287287288289288288288288288288287287287286286286285285285285285285285285284284283283284284284283283283283284284284285284284285285285285285285285285285285285284284284283283283282282282282282282282282282282283283283283283283283283283284284284284283283283282282282282282282282281281282281282282282282282283283283284284284284283284284284284284284284284284284284284284284284284284284284284284284284284284284284284284283283283283283282282282281281281281281281281281282282282282283282282282282282283283283283283283283283283283283283283283283283283283284285285285286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286287286286286286286286285285285285286286286287287287288288288287288288287287287288288288288288288287287288288288287287288288288288287287287287287287287286286286286286285286286285285284284285285285285285285284284284284284285285285285285285285285285285285285285286285286286286286286285285284283283282282281281281282281282281281281280280280280280279279279279279279279279279279278278277278278278278277277277277277277277277277278278278277277277277276276276277277277277277276277277277277277276276276275275274274274273273273274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291289999288288290294295296297297298298299299299299299299299299300300300300300301300301301301302302302302303303303304303303304304303303303303303303302302301302302302302302302302302302303303304304304304304304304304303303303303302301301300298298298299298297296296295294294294294294294294295295295295295296296296295295295295294295295295296295296295295295294294294293293293293294295294294295295294294294294293292292292292291290290289289288288288288288287288288288288287287287288288288289289289289289289289289289288287286286284284284284283284284285285285286286286286286287287286286287288289289289289289289288288288287287286286286285285285285285284285284284283283283284284284283283283283283284284285284284285285285285285285285286285285285285284284284283283283283283282282282282282282282282282283283283283283283284284284284284284283282282282283282282281281282281281281281282282282283283283283284283284283283284283283283284283283284284284284284284284284284284284284284284284284284283284284284284283283283282282282282282281281281281281281281282282282282282283283282282282282282283283284283283284284284284284284283283283283283283284284285285285286286286286286286286286286286286286286286286286286286286286285285285286286286286286287286286286286286286286286286286286286287287287287288288288288288288288288288288288288288288288288287288288288288288288288288289289288288288288288287287286286286286285285285285285285285285285285285285285285285285285285285285285284285286286285285285285285285285285285286285286286286285285284284284283282282282281281281281281281281281280280280280280280280279279279279279279278278278278278278278278278278278278278278278278278278278278278278277277276276277277277276277277277277276277276276277276276275274274274274273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290286288291294296297297297298298299299299299299300300300300300300300301301300301301301301301302302304303304304303304304304303303303303303303302302302302303303303303303303303303304304304305305305304304305304303303303303302302301300299300299299298297297296295295295295295295294295296295295296296296296295296296295295295295296296296296296295295295294294294294293293294294295295295295295294294294294293293292292292291290289289289288288288287288287288288288288288288287287288288288288288289289289289289289289287286286285284284284283284284285284285285286286286286287287286287287287289289289289289289289288288288287287286286285285285284284284284283283283284284284284284283283282283283283284285285284285285285285285285285285285285285285285285284284284284283283283283283283283283282282283283283283283283283284284284284284283283282282282282282282282282281281282281282282282282282283283284284284284284284283283283283283284284284284284284284284284284284284284284284284284283283283283283284284283283282282282282281281281281281281281281281282282282282283282282282282282283283283284283284284284284284284283283284284284284284284284284284285285285285285286286286286286286286286286286286286286286286286286286286286286286286286286287287287287287287287286287287287287287288288288288288288288288288288289288288288288288288288288288288288288288288288288288288289289289289288288288287287287286286286286286286286285285285285285285285285285286286286285285285285285285286286286286286286286286286286285286286286285285285285285285285285284283283282282282282282282282281281281281281281281280280279279279279280279279278278279278278278278278277278278277277278278277277277278277277277276276276276277277276277277277277277277277277277276277276276275274274274273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293291288289291293295296297298298298299300300300299300300300300300300301300301301301301301301301302302303304304304304304304304304305304304304304303302302303303303303303303303303304304305305305305305304304304304303303303303302302301301301300300299298298297297296296296295295295295295295296295295296296296296295295295295295295295296296296296296296295295294294294294294293294294295295295295295294294294294293293292292291291290289289288288288288288288288287288288288288287287287288288288288288288289289290289289289288287286286285284284283283284285285285286286286286287286287286286287288289289289289289289289289288287287286286285284284283284283283283282283284284284285285284283282282282282282283284284284285285285285286285285285285285285285285285285285285284284284284284283283283283283283283283283283283283284284284284284284283283282282282282282282282281282282281281281281282282282283283283283283283283283283282282282283284283283283284283284284283283283283283283283283283283283282283283283283283282282282281281281281281281281281281281282282282282282282282282282282283283283284284284284284284284284284284284284284284285284284285284285285285285285285285286285285285286286286286286286286286287287287286287287287287287287287287287287287287287287287287287287287287288288288288288288288287288288288288288288288288288288288288288288288288289288289289289288289289290289288288288288288287286286286286286286285285285285285285285285285285286286286285285286285285286286286287287287286287287287287287286286286286285285285285285285285285285284283283283282282282282281282281281281281281281280280280279279279278278278278278278278278278278278277278277277278278277278277278277277277277276277277277277277277278278277277278278278277277277277276276275275275274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296294292291291293294296297298299299299299300300300300300300300300301300300300301301301301301302302302303303303304305304305305305306305305305304304303302302303303303303303303304304305306306305305305305304304304304304303303303302300300299300300299298298298298297296297296295295295295295295296296296296296295295295295295295295295295295295295295296295294294295294294294294293294294294294295295295294294294293293293292292292291290289289288289288288287287287287287287287287287287287287287287287288288288289289289289289288287286286285284284283283284285285284285285285286286286286286285286288289289289289289289289288288287287285284283282282282282282282282281282283284284284284283282282282282282282282283284284284284285285285285285285285285284284284284284284284284284284284284284284283283283283283283283283283283284284284284284284283282282281281281281281281282281281281281282282282282282283283283283283283282282282282282283283283283283283283283283283283283283283283283283283283283283283283283282282282282282282282282281281281281281281281282282282282282282283282282282282283283284284284284284284284284284284284284284284284284284284285285284284284285284285285285285285285285285285286285285286286287287287287287287287288288288287288287287288287288287287287287288288288288288288288288288288288288288289289289289288289289289288288289289289289289289289289289289290290290290289289289289288288287287286286286286286285286285285285286285285286286286286286286286286286286287287287287287286287287287287287287287286286285285285285285285285285285284283282282282282282282281281282281281280280280280280280279279279279278278278278278279278278278278278278278278278278278278278278278278278278277278278278278278278278278278278278278278278278277277277276276275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308999999297295294294294296298298299299299300300301301301300300301301300301301300301301301301301302302302302302303304304305305305306306306306305305305304303303303303302303303304304305305306306306305305305304304304304304303303303303302302300300300300300299299299298298298297297296296296295296295296297297296296296295295295295295295296295295295295295295295295294295294294294294294294294294294294295294295294294294293293292292291291290290289289289288288287287287287287287287287287287287287287287288288289289289289289289289289288287286286284284284284285285285284285286286286286286286286285286288289289289289289289288288287287285284282282282282282282282282281281282283283284284283283282281281281281282282282283283284284285285285285285284284284284283283284284284284284284284284284284284284284284284284284284284284284284284284284284283283282282281281281281281281282282282282282282282282282283283283282282282282282282282282282283283283283283283283283283283283283283283283283283283283283283283283283282282282282282282282281281281281281281281282282281281281282282282282282282283283283283283284284284284284284285285284285284284284284284284284284285284284284284284284285285285285285285285285285285285286286286286287287287287288288288288288288287288288287287288288288288288288288288289288288288288288288288289289289289289289289290289289289289289289289289290290290290290290290290290290289289289289288288287287286286286286286285286286285285286285286286286286286286287286287287287286287286286286286286286286286286286286286285285285285285285284284284284282282282281282282281282282281281281280280280280280280280279279279279278279279279278279278278278278278278278278278278278278278278278278278278278278278278278278278278278279279279278278277277277277277277276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999314999999999300299296295294295296297298299299300301300301302301301301301301301301301301301300301301302302302302303303303303304305305305305306306306305305305304303303303303303304304304305305306306306306306305304304304304304303303303303302302301299300300299299299299299298299298298297297296296296297297297297297297296296296295296295296296296296296295295295295295295295295295295294294294294294295294295295295295295294294294293293292292291291290290289289289289288287287287288287287287286286287287287287288289288289289289289290289289288288287286285284284284285286285284285286286286286286286286285287289289289289289289289288288287286284283283283282282281282282282282282282282282283283282282282281281281281281282282282283283284284284284284284284284284284283283283283284284284284284284284284284284284284284284284285284285284284285284284284283283282282281281281281281282282281281282281281281282282282282282282282282282282282282282282282282282283282283282282282283283283283283283283283283283283283282282282282282282282282282282281281281281281281281281281281281281282282282282282282283283283283283284284284284284285285285285285285284284285284285285284284285284284284284284284284284284284284285285285285285286286286286287287287287288288288288288288288288288288288288288288288288288288289289289289289288288289289289290290290290289290290291290290290290290290290290291290290291291290290290290290289289289288288287286286286286286285285285285285285286285285286286286287287287287287287287287287286286286286286286286286286286286286286286286285285285285285284284283282282281281281281281282282281280280280280280280280280280280279279279279279279279279279278278278278277278278278278278278279279278278278278278278278278278278279279279280279279279279278278277277277277277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301298296296297297298299300300301301301301301301301301301301301301301301301301301301302301302302303303304303304305306306306306306306306305304304303303304304304304304305305306306306306306305305305304304304304304303303303302301301300299300299299299299299299299298298298297297296296297297297297297297296296295295295296296296296296296295294295295295295295295295295294294294294294294294295295295295295294294294293293292292291290290290289289289289288288287287287287287287287287287287287288288288288289289289289290289289288288288287285284285285285286286284284286286286286286286285286288289289289289288288288288287287285283283283283282282281282282281281281281281282282282281281281281281280281281281282282282283283283283283284284284284283284283283283283283284284284284284284284284284284284284285285285284285285285285284284284283282282281281281281281281281281281281281281281281281282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283283283282283283283282282282282282282282282282281282282281281281281281281282282282282282282282282283283283283284284284284285285285285285285285285285285285285285284284284285285285284284284284284284284284285285285285285285286286286286287287287287288288288288288288288288288288288288288288288288288289289289289289289288288288289289289290289289289289290291290290290290290291291291291291291291291291291290290290289290290289288288287286286286286286286286286286286286286286286287287288287287288288288288287287286286286287286286286286286286286286286286286286285285285285284284283282281281281281281281281281281280280280281281281281281281280280279279279279279279279279279278278278278278278278279278279279279279278278278278278279279279279279280280280280279279279278278278278278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305999999999301299297297298298300300301301301301301301302302301301302302302302302302302301301301301301302303304304304304305305306306306306306306306305304304304304304304304304304305306307307306306306305305305304304304304303303302301301301300300300300299299299299299299299299299298298297297297297297298298297297297296296295294296296296296296296295295295295295295295295295295295295294294295295295295295295295295294294294293293292292291291290290289289289289288288288288287288288288288287287287287288288288289289289289290289289289288288287287286285285286286286286285284285286286286286286286287288288289289289288288288287286286284283283282282282281281281281281280280281281281282281281281281280280280281281281282282282282282283283283283283283283283283283283283284283284283283283283283284284284284284284284284285285285285285285285284284283282281281281281281281281281281281281281282281281281282282282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283282283283282282282282282282282282282282281281281281282282282282281282282282282282282282283283283283283284284284284285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285285286286286286286286287287287287287287288288288288288288288288288288288288289289289289289289289288289289289289289290289289290290290290291291291291291291291291291291291292292292291291291290290289289289289288287287287287287287287287286286287287287287287287287288288288288288288288287287286287287287286286286285285286286286286286286286286285285284284284283281281281281281281281282281281281281281281281281281281281281281280280279279279279279279279279278278278278278278279279279279279279279279278279279280279279280280280280280280279279279279279279279279278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306305305999300299298297298299300300301301301301301301301301301301302302302302302302302302301301301301301302303304304305305305306305306306306306305305304304304305304304304305305305306307307306306306305305304304304304304304303301301300300300300300300300300299299299300300299299298298298298298298298298297298297297297296295295296296296297297296296295295295296296296296296296295296295295294295295295295296296295294294294293293293293292292292291290290290290289289289289288288289288288288287287287288288288289289289290290290289290288287287287286286286287287286285284285286286285286286286287288289289289288288288288287286286285284283282283282281280280280281281281281281281281281281281281280281281281281281281282282282282282283283283283283283283283283283283283284284283283284283284284284284284284284284284284285285285285285284284284283282282281281281281281281281281281281282282282282282282282282282282282282282282282282282282282282282282282282282282282282282283283283283283283283283283283282283282282283282282282282282282282282282282281281282282282282282282282282282282282282283283283283284284284284284285285285285285285285285285284284284284284285285285285285285285285285285285285285285285285285285285285285286286287286287287287286287287287288288288288288288288288288289289289289289289289289289289289290290290290290290290290290290291292291291291292292291291292292292292292292291291290290289289289288288288287287287287287287287287287287287288287287287288288288288288288289288287287287287287287286286286286286286286286286286286286286286285285284284283282282281282282282282282282281281281281281281281281281281281281281281280280280280279279279279279279279278279279279279279279279279280279280280279280279280280280280280280280280280279279279279279279279279278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301299298298297298299300301301301301301301301301301301301302302302302301302302302302301301301301302302303304304305305305304304304305305304304304304304305304304304305305305306307306306305305305305304304304304304303302302301301301301301301300299300300300300299299299299299299298298298298298298297297297297296296296296296297297297297297296296296296296296296295296297297297296295295295296295296296296295295294294294294294293293293292292292291291290290290290290289289288288288287287287288288288289289289289290290290290290289288287287287288288287287286285285285286286286286287288288289289289288288288288288287286286285284283283283281280280280280281281281281280280280280281281281281281281281281281282282282283282283283282283283282282282283283283283283283283284284284284284284284284284284284284285285285285285285285285284284283282281281281281281281282282282282282282282283282282282282282282282283283283282283282282282282282282282282282282282281281282282283283283282283283283282282282282282282282282282282282282281281281282281281281281282282282282281281281282282282282282283283283283283283284284284284285285285285285285285284285285285285285285285285285286286286286285285285285285285286285285285285286286286286286287287287287287287287288288288287288288288288288289289289290290290289290290290290290290290290290290290290291290291291291291292292292292292292292292292292291291291290290290290289289289288288288288288287287287287287288288288288288288288289288288288289289289288288287287287287287287287287286287286286286286286286286286286285285284283282282282282282282282282282282281281281281281282282282282282282282282281281281280280280280280280279279279279279279279279279279279280280280280280280280280280280280281281281280280280280280279280279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304302300298297298298300301301302301300301301301301301301301302302302302302302302303302301301301301302302303304305305305304304304304304304304303303304304304304304305305306307306306306305305305305305304304303303304302302302301302301301301301301300299300300300299300300299299299298297297298298298297297298297296296296296297297297297297297297296296296296297296296296297298297296296296295296296295296296295295294294294294294294293293293292292292291291291290290289289288288288287287287288288288289289289289290290290290290290290288287287288289288287286286285286286285286287288288288288289289288288288287287287286286285284283283283282280279279280281281281281281281280281281281281281281281281281282281282282282283283283283283283283283283283283283283283283283283284283283283283283283284284284284284285285285285285285284284284284283281281281281281281281281281281281281282282282282282282282282282282283282283282282282282282282282282282282282281281281281281282282283282282282282282282282282282282282282282282282281281281281281282281281281281281282282281281281282282282282282283283283283283283283284284284284285285285285285285285285285285285285285286286286286286286286286286286285286286286286286286286286286286286286287287287287287287287287287288287287287288288288288289289289289289289289289289289290290290290290290290290291291291291291292291292292292292292292292292292292292292292291290290289289289289289289289289288288288288288288288288288288288289288289289289289289290289289288288287287287287287287287287286286286286286285285286286286285285284284283282282282282283283283282282282281282282282282283283283283283283283283282282282282281280280280280280280280280279279279280280280280280280280280280280280280281281281281281281281281280280280280280280279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303302300299297298300301302302302301301301301301301301301301302302302302302302302303302302302301301302303303304305304304304304304304304304304304304304305305305305305306306307306306306306305305304304304304303303303302302302302302301299301301300301300300299299300300299300299300299298298298298298298298298297297297296297297297297298298297297296296296297297297297297297297297297296296296296296296296295295295295295294294294294294293293292292291291291290290290289288288287287287287287288287288289289289289290290290290291291290289288288288288288287286285285286286285286287287288289288288287287286286286286286285285284284283283282280279278279280280281281280280280281281281281281281281281282281281281282282283283283283283283283283283283283283283283283283283283283283283283283283283283283284284284284285285285285285284284284283282281281281281281281281281281281281281281281282282282281282282282282283283282282282282282282281281281281281281281281281281281282282282282282282282282282282282282282282282282282282281281281282282282281281282282282282282282282282282282282283283283283283283283284283284284285285285285285285285285285285285285286285285286286286286286287286286286286286286286286286286287286286286286286286286286287287287287287287287288287287287288288288288288289288288288288289289289289289290290290290290290290290291291292292292292292293293292293292292292293293293292292291291291290289290290290290289289289289289289289288289289288289289289289290290290290290290290289289288288288287287287287287286286286286285285285285286285286286285284284283283282282283283283283282282282282283283283283284284284284283284284284284283283283282282281281281280280280280280279279279280280280280280280280281281281281281281282281281281281281281281280280280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301300300299299300302302302302302301301301301301301301301302302302302302302301302302302303303302302302302303303304304304303303304304304304304304304305305305305305306306307307306306306305305305304304303303303303303302302302302301301300300301300300300300300299301300300300299299299299299299298298298298297297297297296297297298298298297297297297297297297298297297297298298298298298298296296296296296296296295295295295295294294294293293292292292291291291290290290289289288288288288288288288288289289289289290290290290291291290289288288288287286286285285286286286286286288288288288288287286286285284284284284284284284283282281280278278278279280281281281281280281281281282281281282282282282282282282282283283283283283283283282282283283283283283283283282282283283282282282282283283283284284285284284284284285285285284284284283282281281281281281281281280280281281281281281281282281281282282282282282282282282281281281281281280281281281281281281281281281281282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282283283283283283283283284284284284284284284285285285285285285285285285285285285286285286286286286287287287286286286287287286287287287287287287287287287286286286286287287288287288287288287287288288288288288288288288288288288288288289288289289290289290290290290290291291292292292293293293293293293293292293293293292292292292291291291290290290290289290290290289289289289289289290290290289290290291291290290290290291290289289288288287287287287287286286285285286285285285285285286285286285285284284283283283284284284283283283283283283284284284284284284284284285284285284284283283283282282282281281281281280280280280280280280281281281281281281281281281282282282281281281281281281281280280280281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304301300300300301301301302303302302301301301301301302302302302302302302302302302302302302303302303302302302302303303304303303303304304304304304304304304304305305305305305306307306306306306305304304303303304303303303302302302302301301300299299300300300300300300300300300301300300299299299299299297298298297297297297296296297298298299298298298298298298298298298298298298298299299298298298297297297297297296296296296296295296295295295294293293293292292291291290290290290289289289289289288288289289289289289290290290290291291291291290289288287286286285285285286286286287288289288288288287287286285285283282282281281282282282281281279278278278280281281282281281281281281281281282282282282282282282282282283283283283283283282282282282283283283283283283283282282282282283282283282283283284284284285285284285285285285285284284284284282281280280281280281281281281281281281281281281281281281281281281281281281281281281281281281280280280280281281281281281281281281282282282282282282282282282282282282282281282282281281282282282282282282282282282282282282282283283282283283283283283283283283284284284284284284284285285285285285285285285285285285286286286286286286287287287287287287287287287287287287287287287287287287287287287287286287287288288288288288288288288288288288288288288288288288288288288288289289289289289289289290290290291292292292293293293293293293292292292292292292292292292291291290290290290290290290290290290290290290290290290290290290291291291291291291291291291291290289289288288287287287287287286286286285285285285285285286286286286285285285284283284284284284284283283283283284284285284285285285285285285285285284284284284283283283282282282282281281281280280280281281281281282281281282282282282282282282282282282282281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301299300301302303302302302301301301301301301301302302302303303302302302303303303303303302302302302302301302303304303303303303304304304304304304304304304305305305305306307306306306306305304304304303303304303303303304302302301300299298297296297299300300299299299300300300299299299299298298299298298298298297298297297298297297298298298298298298298299300300299299299299298299298298298298297298297297297296296296297296296296296295295294294293293293292291290290290289289289289289289289289289289289289289290291290290291291291291290288287287287286285285285285286286287288288288287287287286286285285284282282281280279280281280280279279278278278280281282282281281281280281281282282282282282282282282282283283283283283283283283282282282282283283283283282282282282282282282282282282282283283284284284284285284284284284284284284284283282281280280280280280281281281281281281281281281281281281281281281281281281281281281280280280280280280280281281281281281281281281282282283282282282282282282282282282282281282281282282282282282283283283283283283283282282283283282282283283283283283283283283284284284284284284284285285285285285285285285285285285286286286286287286286286287287287287287288287287287288287287287287287287287287287286286287287288287288288288288288287288288288288288288288288288288288288289288289288289289289289290290290291291292292292293293294293292291292291291291291291291292291291291290290290290290290290290290291290290290290291290291291291291292292291292292292292291290290289289288288288287287287287287286286286286286286286286286286286286285285284284284284285284284284283284284285285285285285285285285285285285285285285284284284284284284283283282282282282281281281281282282282282282282282282282283283283282282282282282282282281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301298299301302303302301301300300300300300301301301301302302303303303302302303303303303303304303302302302301302302302303303303304304305305305305305304305305305306306306307306306306305305304304303303303303303302302302301301300299297296296296296298299299300299299299299299299299299299299299298298298298298298298298298298298298298299299298299299299300300300300300300299299299299298299298298298297297297297297296297296296295296295295295294294293293292291290290290290289289289289289289288289289289289289290290291291291291290290289287287287286285285285285285285287288287287287286286286286286285285284282282281279279280280280279279279278278278280281282282282281281281281282282282282282282282283283283283283283283283283283283283282282282282282282283282281282282282282282282282282282283283283284284284284284284284284284284284284283282281280280280280281280281281281281281281281281281281281280281280281281280280280280280280280280280280280280281280281281281281282281282282282282282282282282282282282282282282282282282282283283283283283283283283283283283283283283283283283283283282283283283283284284284284284284285285285285285285285285285285285285286286286287287287287287287287287287288288288287287287287287287287287287287287287286287287288287288288288288288288288288288288288288288288288288288288288288288288289289289289289290290290291292291292292293293292291291291291291291291291291291291291291291291291291291291291290290290291291291291291291291291291292292292292292292292292291291290290289289288288288287287287287286286286286286286286286286286286286285285285284284285285285285284284285285285285285285285285286285286286286286286286285285285285285285284284283283282282282282282282282282282282282283283282283283283283283283283282282282282282282282281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299301302302302302301300300300300300300300301301302302302303303303303303302303303303304303303302302301300300301302302303303304304304305305304304304304305306306306306306306306306305305305304303302302303302301301301300299298296295999999296296297296298299299299299299299299299299299299298298298298298298298299298297297297298299299300298299299300300300301300300300299300299299298299299298298298297297297297297296296296296295295295295295294294293292292291290290289289288289289289289289289289290289290290290290291291291290289288287287287286285285285285286286287287286285285285285285284284285284284282281281280280280280280279279279279278278280281282282282282282282282282283283283283283283283283284283284283283283283283283283283283283282283282282282282281281282282282282282282282282283283284283284284284284284284284284284284283282281280280280280280281281281281281281281280281280281281280280280280280280280280280280280280280280280280280280280280281281281281281281281281282282281281281282282282282282282282282282282283283283283283283283283283283283283283283283283282283283283283283283284284284284284284284284284284285285285286285285285285285286286286286287287287287287287288288288288288287287287287287287287287287287287287287287287288288287288288288288288288288288288288288288288288288288288288288288288288288288289289289290290290291291291291292292291290291291291291291290290290291291290291291291291291290291291291291291291291291291291291291291292292292292292292293292292292291291290290289289288288288288287287287287287287287287286286286286286286286285285285285286286285285285285285286286286286285285285286285286286286286286286286286286285285285285285284283283283283283283282283283283283283283283283283284284283283283283283283282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999302301300301301301302301301300300300300300300300300301301302302302302303302302303302302302303303303303302302301300299299300302302303303303304304304304304304304305305306306306307306306306305305305304303303302301302301300299299299298295294999295297298299298298299299300300300300300299299299299299299299298298298298298298297298298299299299299299300300300301301301301301301300300300300299299298298298298298297297297297297296296296296295295295295295295294293293292290290289289288288288288288289289289289289289290290290290291291291290289287287287287286286286286286287287286285284284284284284284284284284284284282280281281280280280279279279278279278278280281282282282282282283283283283284284284284284284283283283283284284283284283283283283283283283282282282282281281281281281281282282282282282283283283283283283283283283283283284284284283282281280280280280280280280280281281280281280281281281281280280280280280280280280280280280280280280280280280280280280280280280280281281281281282282281281281282282282282282282282282282283283283283283283282283283283283283283283282282283283283283283283283284284284284284284284284284284285285285285285285285285285285286286286287287287287287287288288288288288288287287287287287287287287287287287287287287287288288287287288288288288288288288288288288288288288287287287287287287287288288288288288289289289290290290290291291291290290290290290290290290290290290290290290291291291291291291291291291291291291291291291291292292292293292293293293293293293292292291291290289289289289288288288288288288288287287287287286287287287287286286286286286286286286286286286286286287286286286286286286286286286286286286286286286286286286286285285285284284284284283283283283283283283283284283284284284284284284284283283283283283283283282282283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999301302301301301301302301300300299300300300300300300300301301302302302302302302303303302303303303303303303302302300300299299300301302303303303304305305305305305305305306306307307306306306305305305305304303302301300301301301299299298298294294296296298299300300300301301301301301301301300300299299299299298298298298297298298297298299299299299299300300300301301301300301301301300300299299299299299298298298298297297297297297297296296296296295295295295295294293292292290290290289289288288288289288288289289289289289290290290291291290289288287287287286285285286286286285285284284285285285285284284284284284283283282280281281281280279279278277278279279279280281282282282282283283283284284285285285285285284284284284284284284284284284284283283283283282282282282281281281281281281281281281282282282282283283283283283283283283283283283283283283282280280280279279280280280280280280280280280281281281281280280280280280280280280280280280280280280280280280280280280280280280280281281281281281281281281282281281282282282282282282282283283283283282282283283283283283283283283283283283283283283284284284284284284284284284284284284284285285285285285285286286286286286287287287287287287287288288288288288288288287287287287287287287287287287287287287287287287288288288287287288288288288288288288287288287287287287287287287287287287288288288288289289289290290290290290291290289289289289289290290290289290290290290290290291291291291291291291291291291291291291292292292293292293293293293293293293293293292292291290289289290290289289289289289288288288287287287287287287287287287286286286286287287286286286286286287287287286286286286287286286287287287287287287287287287286286286286285285285284284284284283283284284284284285285284285285285285285284285284284284284283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302300300300301301300300299299298299299299299300300300301301301301301302302302302302302303303303303303303303302301298299299299301302303303304303304304304305305305306306306307307306306306306305305304304304303302301301301301300300299299299296296297299299300300301301301302302302302301301300301300300300300299299298298298298298297298298299299299301301301299301301301301301300300300299300299299299299299298298298298297297297297297297296296295296295295295294294294293292291290290290289289289289289289289289289290290289290290291291291290289288287287287286285285285286285285285285286286286287286285283283283283284283283281282282282281279279277277278279279279280282282282282283283283284284284284285286285286285285285284284284284284284284284283282283283283282282282282281281281281281281281281281282282282282282283283282283283282283283283283283283282280280280280280280280279280280280280280280280281281280280280280280280280280280280280280280280280280280280280280280280280280280280281281281281281282281281281281281282282282282282282283283282282282283282283283283283283283283283283283283283283283284284284284284284285284284284284284284285285285286286286286285286286287287287287287287288288288288288289288288287287287287287287287287287287287287287287287287287288288288287288288288288288288288287287287287287287287287287287287288288288288289289288289289290290290290290288288288288288289289290289289289289289289289290290291291291291291291291291291291292292292293293292293293293294294293293293293293292292291290289290290290290290290290289289288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288288287287287287287287286286286286285285285284284284284285285285285286286285285285285285285285285285284284284284284284284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303302300300300301301300298298297298298299299299299299299300301301301301301301302302302301301302303303303303303303302301301301300301302303303304304303303304304305306306306307307307306306306306305305304304304303302302301301301301300299298298299299299300301301301301302302302302302302302301301301301300301300299299299298298298298298298299298300300300301301301300302302302301301301301299300300299299299299299298298298298297297297297297297297296296296296295295294294294293293292291290290290289290289290290290289289289290290290290291291291290289288287287287286285285285285286287287287287288288288287286285284284284284284284283283282282282281280279278279279280280280281282282283283284284284284284284285285285286285285285285284285285284284284284283283283282283282282282282282281281281281281281282282282282282282282282282282282282283282283283283283283282280280280280280280279280279279279280280280280281280280280280280280280280280280280280280280280280280280280280280280280280280280280280281280281281281281281281281281281281281282282282282282282282282283282283283283283283283283283283283283283284284284284284285285285285285285285284284285285285285286286286286286286286287287287287288288288288288289289289289288288287287287287287288287287287287287287288288288288288288288288288288288288288287287287287287287287287287287287287287288288288288289288288289289290290290290289288288288288288289289289289288289289289289289290290290290290290291291291291291291291292292293293293293293293293293293293293293293292292291290290290290290290290290290290289289288288288288287287287287287287287287287287288288287287288288288288288288288288288288288288288288288289289289288288288288288288287287287287286286286285285285285285285286286287287287286286286286286286286286286285285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309305302300299299299299299299297297297297298299300299299299299300300301301301301301302302302302302302303303303303303303302302302302301303303303304304304304304305305305306306307308307307307306306306305304303303303303302302300301301301301300298999297300301302302302302302303303303302302301301301301301301301301301299299299298299299300300299299299301301301300302301302302303303303302302302300300299299299299299298298298299298298298298297297297297296296296296296295294293294293293292291291290290290290290290290290290289290290291290290291291290289289288287286286286285285285286287287288288288289288288288287286286285284284285284284283282281280281281280280279280279280281282282283283283284284284284284285285285285285285285285284284284285285285284284283283283283283282282282282282282281281281281281281281281281281282281281281282282282282282282282282282282282280280280280280279279280279279280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280280281280280280281281281281280281281281281281282282282282282282282283283283283283283283283284284284283283284284284284284285285285285285285285285285284285285285285285285285286286286287287287287288287287288288288289289289288288288287287287287287288288288287287287288288288288289289288288288288288288288288288287287287287287287287287287287287288288288288288289288289289289289289290289288288288288288288288288288288288288288289289289290290291290290290291291291291291291291292292293293294294293293293293293293293293293293292292291290291291290290290290290290290289289289288288288288288288288288288288288288288288288288288288289288288288288289289289289289289289289289290289289289288289289288288288288288287287286286285286286286286287287288287288287287287287287286287286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307303301299298298298299297297297296296297299299299299299299300300301301301301302301301301301301301302302303304304303303303303303302302303303304305304304304305305306306306307308308307307307306306306305304303303303303302302302301302302301300299999999300301302302302303303303303303302302302302302301301301301301301300300299298299300301301301300300301302302301302302302302302302302302302301300300300299299299299298298299298298298298297297298297297297297296296295295295294294294293293293292291290290290290290290290291290290290290290291291291290289288287286286286285285285286286287288288288288288288289288288287286285285285285285284283283281279279280280279279280279280281282282282282283283283284284284285285285285285285284284285284284285285285285284283283283283282282282282282282281282281281281281281281281281281281281281281282282282282282282282282282282281280280280280279280280280280280280280280280280280280280280280280280280280280280281280281281280280280280280280280280280280280280280280280280280280281281280280280280281281281281282282282282282283283282283283283283283283284284284283283283283283284284284284284285285285285285285285285285285285285285285286286287286286286287287287288288289289289289289289288288288288288288288288288288287287288287288288288289289289289289289289288288288288287287287287287286286287286287287287287288288288288289289289289289289289289289288288288288288288288288287288288288288288289289290290290290290291291291291291291292292292293293293294294293293293293293293293293293293293292292291291291290290290290290290290289289289289289289288288288288288288288289289289288289289289289289289289289289289289289290290290290290290290290290290289290290289289289289289288288287288287287287287287288288288288288288288288287287287287287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303301299297296297297297297297296297297298298299300300299299300300301301301302302302301301301301301301302303303304304304304303303303303304304304305305305305305306306306307308308308308307307307307306305304303303303302303302302302302302302302301300300301301302304303303303303303303302302302301302302302302301301301300300300300301301301301300301301302303301302303303302303303303302302302302301300300300300299299299299298299299298298298299298298297297297297297296296295295295294294294294292292290290290290290290291291291290290290290291291290289289288287286286285285285285286287287288287287288287288288288288288288287287287287286285284283282278276278279279280280280279281281282282283283283283283284284284284285285285284284285284284284284285285285284283283283282283282282282282281281281281281281281281281281281281281281281281282282282281281281282282282282282281280280280280280280280280280280280280280281281281281281281280280280280280280281280281281280280280280280280280280280280280280280280280280280280280280280280280280281281281281281282282282282282282282283283283283284284284284284284283283283283283283283283284284285285285285285285285285285285285285286286287287287287286287287287288287289289289289289289288288288288288288288288288288287287287288288288288289289289288289289289288287287287287287287286287287286286286287287287287287287288288288289289289289289289289288288288288288288288288288288288288288288289289289289290290290290290290290291291291292292292293293294293293293293293293293293293293293293292292292291291291290290289289290290290289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290291291291290291291291291291291291290290290289289289289290289288287288288288288288289288288289288289288288288288287288288288288288288287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304301299298297296296296297296297297297297297298299299300300300300300301301302302302302302301301301301302302303303304304304304304304304304304304305305305305306306306307307308308308308307307308307307306305304303303303303303302302302302302301302302302302302303304304303303303303303303303303303302302302301302302302301301301300301302302302302302302302302303302303303303304304304304303302302303302301300301301300299299299299299299299299299299299298298298298297297297297295295296295294294293293292291291290290290290290290291290291291290290291290289288288286286285285285286286286287287287286286287286287287288287287287288288287288287286286285282280277277278278279279279279281281281282282282283283283283284284284284284284284284284285284284284284284284284283283283282282282282282281281281281281281281281281281281281281281281281281282282282281281281281282281282281281280280280280280280280280280280280280281281281281281281281281281281280280280280280281280280280280280280280280279279280280280280279279280280280280280281280280280280281281281281282282282282282282282282283283283284284284284284284284284283283283283283283284284284285285286286285285285285285285285286286286286286286287287287287288288288288289289289289289289288288288288288288289288287288288288288288288288289288289289289289288288288287287287287287287287286286286287287287287287287287288288288289289289289289289288288288288288288287288288288289288288288288288289289289289290290290290290291291291292292293293293293293293293292293292292293293292292293292292292291291291290290290290290290290290290290290290289289289289290289289289289289289289289289290290290290291290290291291291291291291291291292292292292293292292291291291290290290290290290290289288289288288289289289289289289289289289289288289288288289288288288288289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302298296295295295294294295295296296296297297298299300300299301301301302301302303302302303303302303302302303303303304304305304304305305305305305305306306306306306307308308308308308307307307308307307307305304304303303303303302302302301300299302303303303303304304304303304303304303303304303303302302302302302303303302301301302302302302303302302302302303303303304304304304304305304304303303303303302300301301301300300300300299299299299299299299299298298298297297297297296296296295295295294293293292291291290290290290290290290290291290290290289288288288285285285285286286286287287287287287286286287287286287287287287288288288288288288287286284282280277277278279279279279280281281282282282283283282282283283283284284284284284284284284284284284284284284284283283283282282282281281281281280280281280281281281281280281281281281281281282282282282281281281281282281281280280280280280280280280280280280280281281281281281281281280280280280280280280280280280280280280280279279280279279279279279279279279279279280280280280280280280280281281281281281281281281282282282282283283284284284284284284284284284284283283283283284284284284285285285286286285285285285285285285286286286286286286287287287288288287288289289289289290290289289289289289289288289288288288288289289289288289289289289289288288288288287287287287287287287287286286286287287287287288287288288288289289289289289288288288288288287288288288288288288288288288288288289289289289290290290290290291291291292293293293293293293293292292292292292293292292292292292292291291291291291290290290290290290290290290290290290290290290290290290290289289289290290290290290290290291291290291291291291292292293293293293293293293293292292292292291290290290290290290289289289289289289290290290290289290290289289289289289289289289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299296295295294294294294294295295295296297297299299300300300300301301301302302303303303303304303303303303303303304304304304305305306306305305306306306306307307307308309309308308308308308307307308307306305305304304303303303303302301301301301302303304304304304304305304304304304303304304304304302302303303304304303302303302303303303303303303303303303304304304304304305304304304304305304303303302302301302301302301301301300300299299299299299299298298298298298298297297297297296296295295295294294293293291292290290290290290290290290290290289288288288287286285285286287288288288288287287287286286286286286286287287287287288288289289289288287286283282280278278278278279279281282281282283282282282282281282282282283283283284284284284284284284284284284284283283283282282282282281281281280280280280280281280280280281281281281281281281281282282281281281281281281281280280280280279280280280280280280280280280280281281281281280280280280280280280280280280280280280280280279279279279279279279279279279279279279279279279280280280280280281281281281281281281281282282282283283284284284284284284284284284284284284284283284284284284284285285285286285285285286286285285285286287286286286286287287287287287287288289289289289289289289289290289289289289289289288288288289289289289289289288288288288288287288288287287286287287287287286286286286287287287288288288288288289289289289288288287288287287287287287287288288287288288288288288289289289289289290290290290291291291292293293292293292292292292292292292292292292292292292292292291291291291290291291290290290290290290290290290290290290290291291290290290290290290290290290291291291291291291291292292292292292293293293293293293293293293293293292291291290290290290290289289289289289290289290290290290290290290290290290290290290290290290289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295294293292292293293294294295295295296296297298299300301301300300301301302303303304304304304304304303303304304304304305305305306307306306306307306307307307307308308308309308308308308308308307307307307305305304304304303303303302302302303304304304304305305305305305304304304304303303304305305304304304304305304304304303304304303304304304304304304304305305305304305305304305304304304303303302302302301302302302302301301300299299299299299299299298298298298298298298297297297297296296296296295295294293293292292291290290290290290290290290289287287287287286286286287287288288288287287287286286286286286286287287287287288289288288289289288288287286284282281279278278279280282282281282282282282282282281281282282282283283283283283284284284283283283283284283283282282282282281281281280280280280280280280280280280280281281281281281281281281281281281281281281281281280280280279279279279280280280280280280280281281281281281281280280280280280280280280280280280280280280280280280279279279279279279279279279279279279279280280280280280280281281281281281281282282282283283283284284284284284284284284284284284284284284284284284284284284285285286285285286285285285285286286286286286286286286286287287287288287288289289289289289290290289289289289290289289289289289289289289289288288288288288287287287287287287287286286286287287287286286286287287287287287288288288288288289288288288288287287287287287287287287287287287288288288288288289290289289289289290290291291291292292292292292292291291291291291292292292292292291292292291291291291291291291291291291291290290290290290290290290290290291291291291291290290290290290291291291291291291291291292292292292293293293293294294293293293293293293292292291291290291290290290289289289289290290290290290290290290290291290290290290290290290290290289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296295293292291291293293294293293295295296296297298299300300301301301300300301302303303304304304304304304304304304304304304305305306305306306306306307306307307307308308308309309309309309309308308307307308307306306305305303301300302303303302303304304304305305305306306305304305305305304304305305304305305305305304304304305304304304303304304305304305305305305305305305305305305305305305304304303303302302302301302302302302301300300299299299299298298298298298298298298297298297297297296296296296295295295294293293292291291290290290289290290289288287287287287286286287287287288288288288287286286286286286286286286287287287288289289289289289289288287286285281282281281280281281282282281282282282282282282281281281282282282283283283283283283283283283284283283283283283282282281281281281281280280280280280280279279279279280280281281281281281282281281281281281281281281280280280279279279279279279279280280280280280281281281281280280280280280280280280280280280280279280280280280279279279279279279279279279279279279279279279280280280280280281281281281282282282282282283283283284284284284284284284284284284284284284284284284284284284285285285285285285285285285285286286286286286286285286286286287287287288288288289289289290289290290290289289290289289289289289288289288288288288287288288287287287287287288287287287286287287287288287286287287287287287287288287288288288288288288288287287287287287287287287287286287287288288288288289289289289289289290290290291291291292292292292291291291291291291291292292292291292291291291292291291291291291292292291291291291290290290290290290290290290290290291291291291291290291291291291291291291291291291291292292292293293293294294293293293293293292292292292291291290290290290290289289289289289290290290291291291290290291290290290290290290289289289290289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305298295292291291291291292293295295294295296296296297298299300300300300301301301302302303303304304304304305304304305304304304304304304305306307306306306307307307308308309308308309309309309310310308308308308307307307306306305301298300302303302302304304304304305305306306306306305305305305305306305305305305305305305305306306305304305305306305304304305305305305306306306306306306306305305305304304304303302302302301303302302302301301300300299299299298298298298298298298298298297297297297296296296295296295296296295294293292291291290289289289289289287287287286286286286286287287288288287287286286286286286285285286286287287288289290290290289289289288287286286282283283282282282281282282282282282281282281281281281281281282283282283283283283283283283283283283283283283283282282282282281281280280280280280279280279279279279279280280280281281281281281281281281281281281281280280280280279279279279279279280280280280281281281281280280280280280280280280279279279279279279279280280280280279279279279279279279279279279279279279279280280280280281281281281281282282282282283283284283284284284284284284284284285285284284284284284284285284284285285285285285285285285285285285285285285285286285285285286286287287288288288288288289289290290290290290289290290289289289288288288288288287287288288287287287287287287287287287287287287287288288288287287287287287287287287287288288288288288288287287287287287287287287288287287286287287287288287288289289289289289290290290291291291291291291291291291291291291291291291292292292292291291291291291291291291291291291291291291291291290290290290290290290290290291291291291291291291291291291291291291291291291292292292293293293293293293293293293293292292292292292292291291290290290290290289289289289290290291291291291290290290290290290290289290290290289289290289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298295294292291291292292293293294295296297297296297298299300300300300301302302302303303303303304303304304304304304305304304304304304305305307306307307307307307308308308309308309309309310310310309308308308307307307307306306304300999302302301303303304304305305306306306307307307307306306306306306306306306305305305306306307307306306306306307306305305306306306305306306306306306306306306306306305305305304303303302302303303301301302301300300299299299298298298297297298298298297297297297297297296296296296296296296296294293293292291290290289289289288287287286286286286286286286287287287288286286287286286286286285286286287287288289290290290289289289288287286286284284283282281281281281282283282282281281281281281281281281282282282282282282282282282283283283283283283283283282282282282282281281281280280280280279279279279279279280280280280281281281281281281281281281281281280280280280279279279279279279279280280280280281281281281280280280279280280280279279279279279279279279280280280280279279279279279279279279279279279280280280280281281281281282282282282282282282283283283283284284284284284284284285285284284284284284284284284284284284285285285285285285285285285285285285285285286285285285285286286286287288288288288289290290290289289289290290289289289289289288288288288287287287287287288288288288288287288288288288288288288288288288287287287287287287287287287288287287287288287287287287287287287288288288287287287287287287288288288288289289290290291291290291291291291291291290290291290291291291291291291291291291291291291291291290291291291290291290290290290290290289289290290290290291291291291291291291291291291291291291291291291292292292293293293293293293293293293293292292292292291292291291291290290290290290289289289289290290290291291291291290290290290290290290289289289289289289290289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296294293293292292292292292293294294296296297298298298299299300300301301301302303304304304304303304303304304304304304305305305306305305305306307307307307308308308308308309309309309310309310310310309308308307307307308307307306304302300301300999301303304304305305306307307308308308307307308307307307306306307306306307305306307307307307307307307307306306306306306306305305306306306306306306306306306306305305304304303303302302301301301301300300300299299298298298298298298298298297297297297297298297297296297296296296296296295294293292291290290289288287287287286286286287286286287287287287288287287287286286287286285286287287287288289289290289289289288288287285284284283282281281281281281282283282282281281281281280281281281281282282282282282282282282282282283283283283283283283282282283282281281281281281280280279279279279279279279280279280280280281281281281281281281281281280280280279279279279279279279279280280280280280280280280280280279280279279279279279279279279279279279279279280280279280279279279279279279279279279280280281281281281281282282282282282282282283283283283283283283283283284284283283283284284284284284284284284284284284285285285285285285285285285285285285285285286286286286286285285286287288288288289289289290290289289290289289290289289289289288288288288287287287287287288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287288288288287287287287287287288288288289289289290290290290290290290291290290290290290290290291291291291291291291291291290290290290290290290290290290290290290290290289289289290290290290291291291291291291291291291291291291291291291292292292293293293293293293293292292292292292292292292291291291291291290290289290289289289289289290290291291291291290290290290290290289289289289289289289289290289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303999307999293293292291292292292292292294294295295297297298298298299299299300301301301302303304305304305304304304304304304304305305305305306306305306306306306307307308308308308309309309309309309310310310310310309308308308309308308308307306304302300301999999300303304305305306307307308308308308308308308309308308308307307307307307307306308308308307307307307307306307306306305306306306306306306306306306307307306306306305305304304302302302302301301301301300299299299299299299298298298298298297297297297297297297297297296296296296296296296295294293293291290290288288287286287287286286286287287287287287287287286287287287286286285286286287287287288289289289289289289288287286282282282281281281281281282283283282282281281281280280281281281282282282282282282282282282282282283283283283283283283283282282282282281281281281280280280279279279279279279279279280280280280281281281281281281281280280280280279279279279278279279279280280280280280281281281281280279279279279279279279279279279279279279279279279280279279279280279279279279280280280280281281281281282282282282282282282282282283283283283283282283283283283283283283283283283283283284284284284284284284284285285285285285285285285285285285286286286286286286286286286286287288288288288289289289289290289289289289289288289288288289288288288288287287288288288288288288288288288288288288288288288288288288288287286286286287286287287287287287287287287287287287287287287287287288288288287287287287287288288288288289290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289290289289290290290290290290291291291291291291291291291291291291291292292292293293293293293293293293292292292292292291291291291291291291291290290290290290289289290290290290290291291290290290290290290289289289289289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300299301999290291290291292292292292293294294295296298298299298298299299300301301301302302303304304304304304304304304304305304305305306306306306305305305306307307307308308308309309309309309309310310310310310309308308309309309308309309308307304301999999999999301304305305305306307308309309308308308308309309309309309308307307308307307307307308307307306306306306306306306306306306306306306306307307307306306307307306306305305304304303303302302302302301301300300300299299299299299299298298298298297297297297297297297297297297296297297296296296295294294293292290289288288287287287287287286287287287287287287287287287287287286286286286286287287288288289289289289289289288287286283283282282282282282282283283283282281281281281281280280281281281282282282282282282282282282283283283283283283283283283283283283283282282281281281281280280279279279279279279279280280280280280280281281281281280280280280279279279279279278278279279279279280280280280280280280280279279279279279279279278278278278278278279279279279280280279280280279279280280280280280281281281282282282282282282282282282282282283283283282282282282282282282282282282282282282283283284284284284284284284285285285285285285286285285285285285286286286286286286286286286287288288288288288289289289290289289289289289289288288288288288288288287287287287288288288288288288288288288288288288288288288289288288287286286286286286286286286287287286287287287287287287287287287287287288288288288288288288288288288289289289289289289289290290290290290290290289290290290290289290290290290290290290290290290290290290290290289289289289289289289289290290290290290290290290290290291291291291291292292292292292292292293292293292293293293293292292292292291291291291291291291291291291290290290290290289289290290290290290290290290290290290289289289289289289289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289291292291292292292293294295295296297298298297298298299300300301301301302302303303304304305304304305305305305305305306306305305305304305305306307307307308308309309309309309309309309310310310310309308308308308308308309309308307305303999999302302303304305306306307307308309309309309309309309309310309309308308308307307307307307307307307307307307306306306306306306306306305306306307307307307307307307307306306306305304304304303303303302302301301300300300300299299299299298298298298298298298297298297298297297298297297297297297296296295294294293292290290289288287287287287287287287287288287287287287287287287287286287287286286287288288289289289289289289289287285284283284283284284284284283283282282281281281281280280280281281281281282282282282282282282282283283283284283284284283283283283283283283282282282282281281280279279279279279279279280280280280280280281280280280280280280279279279279279279279279279279279280279280280280280280280280280278278278279279279279278278278278278278279279279279279279280280280280280280280280280281282282282282282282282282282282282282282282282282282282282282282282281281282281281281281282282283283284284284284284285284285285285286286286285285285285285286285286286285286285286287288288288288288289289289289289289289289289289289289289289289288288288287287288288288288288288288288288288288288288288288289289288288288287287287286286286286286286286286286286287287287287287287287287287287287288288288288288288288289289289289289289289289289290290289289290289289289289289289289289289289289289290290290290290290290290289289289289289289289289289289289289289290290290290290290290291291291291292292292292292292292292292292292292292292292292292292292291291291291291291291291291291290290289290290289289289289290290290290290290290290289289289289289289289288289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999293292290291292292291292292293294294296297297298298298298298298298300300301302302302302302303303304305305304305305305305305305306306306305305304305306306307307308308308308309309309309309310310310310310310309307307307307308309309309307305303999999303304304305305306306307307308309309309309309310309308309309309308308308308307307307307307307307308308307307307307307307306306306306306307307307307307307307308308307307307307306305304303303304303303302301301301300300300300299300300299299299298298298298298298297297298298298298297297298298297296296294294293293292291290289288288288288288288287287288287288288287287287287287286286287287287288288288289289289289289289289288287285286286285285285285285283283282282281281280280280280279280280281281282282282282282282282283283283284284284283284283283283283283283283283283283282282281280280279279279279279279280280280280280280280280280280279279279279279279279279279278279279279279279279279280280280280280280280279278278279279279279279278278278278278278279279278279279279279280280280280281281281281282282282283282282281282282282281281281282281282282282281282282282281281281281281281281281282283284284284284284284285285285285285286286286286285285285285285286286286285285286286287288287288288287288289289289289289289289289288288289288289288288288288288288288288288288289289288288289288288288288288288288288288288288288287287286286286286286286286286286286286287287287287287287287287287287288288288288288288289289289289288288289289289289290289289289289289289289289289289289289290290289289289289289289289289289289289289289289289289288288289289289289289289290290290290290291291291291292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291290290290289290290289289290290290290290290290290289289289289289289289288288289289289290289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999291292292292293292293293294295295296297298297298299298298298299300300301301302302302303303304304305305305304305305305305305305305305305305305305306306306307307308308309309310309309309309310310310310310309307306306306307309310308305304302999305303305305306306306307307307308309309309309308309309309309309309309309309308308307307306307307307308308307307307307307307307306307306306307307308307307307308307308308307306306306306305304303304304303302301301301301301300300300300300299299299299298299299298298298298298299299298298297298298297297297296294294293292292291290289289289288288288288288287287288287288287287287287287287287287288288288288289289290289289289288287286286287287286287286286285284283282282281281281280280279279279280281282282282282282282282282283283283284284284284284283283283283283283283283283283283282281281280279279279279279279279280280280280280280280280280279279279279279279279279279278278279279279279279279280280280280280280279279279278279279279279279279278278278278278279278278278279279280280281280281281281281281282282282283283282281281281281281281281281281281282281281281281281281281281281281281281282282283284284284284284285285285285285285285285286285285285285285285286285285285285286286287287287287288287288288289288288288288289288289288288288288288288288288288288288289289289289288288289289288288288288288288288288288288288288287287286286286286285286286286286287287287287287288287287287287288288288288288288289289289289288288288288288288288289289289289289289289289289288289289289289289289289289289289289289289289289288288288288288288288288288288288289289289289289290290290290290291291291291292292292292292292292292292292291291292291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290289289289289289289288288288288289289289289290289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293291290292293292293293294294295296296297298298298298298298300300300300300302302301301302303304304304304304304305305304305305305305305305305305305306306306307307307308309309310310310309310310310310310310309308307307307307306306304301301999305304304306306307307307307307307307308308309308308309309309309309309309309308308307306306306307307307307307308308308308308307307307308307307307308308308307307307307306306307307307306307306304304304304304303302302301301301301300300300300299299299299299299299298298298299299299300299298297297298298298297296296295294293293292291290289289289289288288288287288287287287287287287287287287287287287288288289289289290289289289288288287287287288287287288287287284283282282281281281280280280279279280280281282282282282282283283283283283283283284284284283283283283283283283283282282283282282281280280279279279279279279279279280280280280280279280280279279279280279279279279279278279278279279279279280279280280279279279279279279278278279279279279278277278278278278278278278279279279279280281281281281281281282282282283283282282281282281281281281281281281281281281280280280280280281281280280281282282283284284284284285285285285285285284285285285285285285285285285285285286286286286286287287287288288287287288288289289289289289289288288288288288288288287287288288288289289289289289289289289288288288288288288288288288288288288287287286286286286286286286286286287287287287287287287287288288288288288289289289289289289288288287288288288288288288288288288288288288288288288288288288289289289289289289289289289289289289288288288288288288288288288288288288289289289289290290290291291291291291292292292292292292292292291292291291291291291291291291291291291291290290291291291291290290290290290290290290290290290290290290289289289288288288288288288288288288288288289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298295291291292292292293293294294295296297298298297298298298299299300300300301301302301301301302303303304303304304304304304304304305305305304304305305306306306307308308309310310310310309309310310309310310310310310309308306305302301303303302999304304305307307306307307307307307307308308309308308309309309309309309308308308308307307307307307307308308307308308308308308307308308308308308308308308308308308307307307306307307307307307306305305304305304303303303303302302301301301301300300300300300299299299299299299299300299300299298298298297297298297297297297296295294293294291291290289289289288288288288288288288288287287287287288288288288288289289289289290289289289288288288288288288287287287288287285283282282281281281280279279279278279280281281282283283283283283283283283283284284284283283283283283282283283282282282283283282282281280279279279278278279279279280280281281281280281280280279279280280279279279278279278278278278278278279279279279279279279279279279279279279279279278277277277278278278278278278278279279279280281281281282281281282282282283282282282281281281281281281281281281281280280280280280280280281281280281281282283283283284284284284284285284284284284284284284285285285285285285285286286286287287287288287287288288287287288288289289289289289288288288288288288287288288288288288288288289289289289289289289289288288288287287287287287287287287287287286286286286286286286286286286286286287287287287287287288288288289289289289289289288288288287287288287288288288288288288288288288288288288288288289288289289289289289289289289289289288288288288289288288288288288288289289289289290290290290291291291291291292292292292292292292292292291291291291291291291291291291290290290290290290290290290290290290290290290290290290290289289289289289289289288288288288288288288288288288288289289289289289289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298295292291291291292293293294294295296297298298297297298299299299300299300300302302301301301302303303303303303303304304304304304304304304304305305305306306307308308309309309310310310309309310309309310311311311310310309307306305305306304304305305306306307307307307306307307307307307308309309308309309310309308308308308307307307306306306307307307307307307307308308308308309308308308308308308308308308308308308308306306307306306307307306306306305304305304304303303302302302301301301301301301300300299299299299299300300300300299299298298297297298297297297297297296295295295293293292292290289289289289289289288288288287288288288288288288289289289289289290290289290289289288288288288288287287287287287286284282282281281281281280279279278278279280281282283283283283283283283283283284284284283283283283283282283283282282282282283282282281281280279278278278278278279279280280281281281281281280280280280280280280279279279279279278278278278278279279279279279279279279279278279278278278278277278278278277278278278278278278279279280281282282282282281282282282283283283282281281281281281281281281281281280281280281280281281281281281281282282283283283284284284284284284285285285284284285285285285285285285286286286286287287287288288288288288288288287288289289289289289289288288288288288288287287287287287288288288288288289289288288289288288289288287287287287287287287287287286286286286286286286286286287287286287287287288288288288288289289289289290290289289289288288287287287287287287287288288287288288287288288288288288288288289289289289289289289289289289289289289288288289288288288288289289289289289289290290290290290291291291291292292292292291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289288288288288288288288288288288288288289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293290290291290291292293293295296296297297298297297298298298299300299299300301301300300301301302303303303303304304304303303304304305305305305305305306307308308309309309309309310309309309310309310311311312311311310311310309309308308307307307307307307307307307307307306307307307307308309308309309309308308308308307307307307307306306305306306306305306306307307307307308308308308308308309309309309308308308308307307306306306306306307307307306306305305305304304303303303302302302301301301301301299299300300300301300300300300299299299299298298298298298298298298298297296296295294294293292291290290290290289289289288288288288288289289289289290290290290290290289289289288288288287288288287288287287287287285283282281281281281280279279278278278279280282283284283283283283284283283284284284284283283283283283283283283282282282283283282282281280279278278278278278278279279280281281282282282281281281280280280280280280280279279279279278278278278279279279279278278278278278278278278277278277277277278278278278278278278278279279280280281282282282282282282282282282283282282281281281280281281281281281281280280280280280281281281282282283283283283284283284284284284284284285285285285285285285285285285286287287287287287287288288288288288288288288288288289289289289289289289288288288288288287288288287288289289289289288288288288288289288288289288288287287287287287287287287286286286286286286286286286286287287287287287287288288288289289289289290290289289289289288288287287287286286287287287287287287287287288288288288288288288289288289288289289288289288288288288288288288288288288288288288288289289289289290290290290290290291291291291291291291291291291290290290290290290290290289289289289289290290290290290290290290290290290290290290290289289289289288288288288288288288287288288288288288288288289289289289289289290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293292290290289290291292293294295296297297298297297297297297298299299299299299300300299299300301302303304304304304304303304304304305305305305305306306307308308308309309309309309309309309310310309310311312312311311311311311311310310310309308308308307307307307307307307307307307307307307308308308308308307308307307307306307306307306306305305304304304305306306306306307307308308308308308309309309309309308309307308307307306306306306306306306306306305305305304304304304303303302302302302302301301300300301301302302301301301300299299299299299299298299299300299299298298298297296295295294293293292291291291290290290289290289289289289289290290290291291291291290290289289289288288288288288288288288287286286286284283283282282281281280279278278278279279281282283284284284284284284283284284284284283283284283283283283283282282282282283282282281280279279278278278278278278279280281281282282282282282282282281281280280280280280280279279279278278278278278279279278278278278278278278277278278277277277277278278278278278278278278279279280280282282282282282282282282282283283281281280281281281281280281281281281281280281281281282282283283283283283283283283283283284284284284284285285285285285285285286286286287287287288288288288288289288288288288288289288288289289289289289289289289289288288288288288288288289289289289289288288288289289289289289289288288287288287287287287287286286286286286286286286286287287287286286287287288288288289289289289289289289289289289288287287286286286285286286287286286286286287287287287287287288288288288288288288288288288288288288288288288288288288288288288288289289289289289290290290290290290291291291291291291290290290290290290290290290289289289289289289289289289290290290290290290290290290290289289289289289289288288288288288288288288288288288288288288288288288289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291288288288290290291292294295296297298297297297297297298298298299299298299299299299299301301302303304304304304302303305305305305306306306306306306307308308309309309309308309309309309310310309310311312312311312312312312311311311311310310309308308308308308308308307308308307307307308308308308308307307307307307306306306306306306305305305305305305305306306306306306307307307307308308309309309308308308308307308307307307306306306305306307306305305305304305305305304304303303302302302301301301301301302302303303302302301301300300300299299299299300300301300300300299298297297296296295294293293292292292290290290290290290289290290290291291292292292292292291290290289289289289289289288288288288288287287286286284283283282282281281279279279278278279280281282283284284284284284284284284283283283284284283283283283283283282282282283283282281280279278278278277277278278279280280282282282282282282282282282282282282282281281281281280279279278278278278278278278278278278278278277278278278277277278278279278279279279278278279279279280281281282282282282282282282282282283282281280281281281280280280281281281281281281282282282282282283283283283283283283283283284284284284284285285286286286286287287287287287287288288288288289289289288288288288288288288288289289289290290290290290290289288289288288289289289289289289289289288289289289289289288288288288288288288287287287286286286286286286286286286286286286286286286286286287287288288288289289289289289289289288287287286286285285285285286286286286286286286286287287287287288288288288288288288288288288288288288288288288288288288288288288288288289289289289290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289290290290290290290290290290289289289289289289289289288288288288288288288288288288288288288288288288289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297292290288285287288289290291292294296297297297297297296297298298298299299298297298298298298300300302303305305305306305305306306306306307307307306307307307308308309309309309309309309309309310310310310311311312312311312312312312311311311311310310310309309308308308308308308308308308307308308308308307308307307307306305305306305306306306305305305305305306305305306306305305307307307308308309309309309309309309309309308308307307308307306305305306306305305305305305305305304304303303303302302301301302302302303303303303303302302302301300301301300301302302302302302301300300299298297296296295295294293293293292290290290290290290291291291291292292293293292292292291291291290289289289289289289289289289288288287286286285285283283282282281280280279279279279279280282283283284284284284284284284283284283283283283283283283283283282283282283283282281280279278278278278278278278279279281282282283283283283283283283283283283283283282282281281280280279279278278278278278278278278278278278278278278278278279279279279279279279279279279279279279280281282282282282282282282282282283282282281281281280280281281281281281281281282282282282282283283283283283283282283283283284284284284284285285286286286287287288288288288288288288288289289289288289289289289289289289288289289289289289290289289289289289289288288288289289289289289289289289289288288288288288288288288288288287287287286286286286286286286286286285285285285285285285286286287287288288288289289289289289288288288287286285285285285285285285285285285286286286286287287287287287287287288288288288288288288288288288288288288288288288288288288288288289289289289289290290290290290290290290290290290290290290290290289289289289289289289289289289289289289290290290290290290290289289289289289289289289289289288288288288288288288288288288288288288288289289289289289289289289289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299293999282285288289290290291292294296296297297297296296297297297298298298297297297297297298299301302305305305306306306306306306306307306307307308307308308309309309309309309309309310310309310310310310311312312312312312312312311311310310310309310310309309309308308308308308308308308308308308308308309308307308307306305305305305305305305306305305305306305305306306306306306307307307308308308309309309310309309309309309308308307308306307306305305306306305305305305305305305304304304303302302302302303303303304305304304304303302303301301301301303302303303302302302302301301301299299298297296295294294293293292292291291291291291291292292293293293293293293292292291291291291290290290290290291291291291290289288287287286285284283283282282280280279280280280279280281282283284284285285285285284284284284284284284284283283283283283283282282283282281280280279279278278278278278279280281282283284284284284284284284284284284284284284283283282282281280280279280279278278278278278278278279279279279279279279279280280280279280279279280280279279280281282282282282282282282283283283282282281281281280281281281281281281282282282282282282283283282282282282282282283283283283283284284284285285285286286287287288288288287288288289289289289288288288288289289289289289289289289289289289289289290289289289289289289288288289289289289289289289289288288288288288288288288288288288287287286286286286286286286285285285285284285285285285285285286287287287288288289289289289288288287286286285285285285285285285285285286286286286286286287287287287287287287287288288288288288288288288288288288288288288288288288288288289289289289289289289289289289290290290290289289289289289289289289289289289289289289289289289289289289289290290290290290289289289289289289289289289289288288288288288288288288288288288288289289289289289289289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303303999292999284287289290290291292293295296297297296296296297298298297297297297297296297296296298299301303304305305305306305306306306306307306307307308307308308309309309309310309309309309309309310310310310311311312311312311311311310310310310310309309309309309308308308308308308308308308308308308308308308308307307306306305305305305305305305306305305305306305305305306306306306307307307307308308309309309310310310310309310309309308308307308307306305305305305305305306305305305304304304303303303303304304304304305306305305305304303303303303303303304303303303303303302302302302301300300299298297296295294294293293292292292292292293293294294294293293293293293292292292291292291292293293293293294293292292292291290288288287286284283283282282280279279280280280280280281282282284284284285285285285284284284284284284284284283283283283283283283283283281281280279279279278278279279280281282283284284284284284285285285285285285285284284284283283282282281281280280280279279279278279279279279279279279279279280280280280280280280280280279279279279279280281282282282282282282282283283282282281281280279280281280280281281281281281282281281282282281281281281282282283282282283284284285285285285286286287287287288288288288288289289289289288288288288288289289289289289289289289289289289289289290289289289289289289288288288288288289289289289289289289289288288288288288288288288287287286286286286285285285284284284284284284284284285285285285286287287288288288288288288288287287286285285285284284285285285285285286286286286286286287287287287287287287287287287288288288288288288288288288288288288288287288288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288289288289288289288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300297291287286287289290291291292293294296297297296295296297297297295297296297297298296296296297298299302303303304305305306306306306306306306307307307307307308308309309309310310310310310309310309310310310310311311312312311311310310309309309309309309309308308309308308308308308308308307307308308308308308308307307307306306305305305305305305305305305305305305305305305305305305306306306306307306308308309309309310310310310309310310310308308308307307306305305305305305305305305305304304304304304304304305305306305305305306305305305304304304304304304303304303303303303303303302302301300300300298297296295294293293292292292292292294294295294294293293293293293293292292292292292293294294294294293293293293293293292291290289287286285284282283282281280280280280280280280281281281283284284284285285285285285285284284284284284284283283283283283283283282281281280279279279278279279280281282283284284285285284285285285285285285285285285285284284283283282281281281280280280280279279279279279279280280280280279280280280280281280280280280280279279279279280280281282282282282282281282283283282281280280279280280280280281281281281281281281281281281281281281281281282282283283283284284285285286286286286287287287287288288288288288288288288288288288288288288289289289288289289289289289289289289289289289289289289289289289288288288289289289289289289289288288288288288288288288288287287286286286285285285284284284284284285284284285285285285285285286286287287288287288287287286286285285285284284284284284285285285285285286286286286286286286286286286286287287287287287287288288288288288288288288288288288288288288289289288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300999999295294288287288289291292293293294295295296297296296296296296297296999294294295297297298297297299299300302303304304305305305306306306306306306306307307307307308308308309310310310310309310310310310310310310311311311311311311310309309309309309309309309309308308308308308308308308308307308308308307307307308308307307307306305304305305304305305305305305305305305305305305305305305306305306305307307308308308309309310310310310310309310310309308307307307307306305305305305306306306306305305304304305305306306306306306306306306305305304304304304304304304303303304303303303303302302301301300300300298297296295294293292292292292292293295295294294294293293293293293292292292293293294294294294294294293293293293292292292291291289288286285284283282283281281281281280279280280281281281282283283284284284284284285285284284284284284284283283283283283283283282281280280279279279279279279281282282283284285285285284285285285285285285285285285285285285284284283282282281281281281280280280280280280280280280280280280280280280281281281280281281280280279279279279280281281281282282282282281282282282282280280280280279280280280280281280280280280280281281281280281281281282282283283284284284285285286286286286286286286287287288288288288288288288288288288288288288289289289288289289288288289288289289289288289288289289289289288288288288289289289288288288288288289288288288288288288287287286286286285285285284284284284284284284284284284284284285285285286286287287287287287287286286285285285284284284284284285285285285285285286285285285286286286286286286286286287287287287287287287288287287287288288288288288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288287288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297295294294291290290291291293294294295296296296296296295296297298298999999999999999999293296297298298299300302304303304305305305306306306306307307307306307307308307308308308310310310309309309309309310310310310310310310311311311310309309308309309309308309309308308308307307307308308308307307307307307307307307307307307307306306305305305305305305305305305305304304304304305305306306305305305305306306307308308308309309309310310310310310310310310308308307307307306306305305305305306306306306305305305306306307306307307306307306306306305305305304304304304304303303303303303303303302302302301300300299298297296295294293292292292293294294295294294294294294294294293293293293294294294294294294294294294293293293293293292292292291290289287286285284283283282281281281281280280280281281281281282282283284284284284284284284284284284284285284283283283283284284282281280280279279279279280280282282283284285285285285285285285285285285285285285285285285285285284284282282281281281281281280280280280280280280280280280281281281281281281281281281281281280280279278279280281281281281282282281281282282282282281281280279279279279280280280280280280280280280280280280281281282282283283284284284284285285286286285285286286286287287288288288288288288288288288288289289288288288289289289288288288288288289288288289288289289289289289289289289289289289289289288288288288288288288288288288287287286286286286286285285284285284284284284285284285284284285285285285285286287287287287287286286285285285285284284284285285285285285285285285285285285286286286286286286286286286286287287287287287287287288288287287288288288288288288288288288288288288289289289289289289289289289289289289289289289289288288288288288288288288288288289288288288288288288288288288288289289289289288288288288288288288288288287287287287287288288288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300292291292291291291291292294295295295296297297296296295295297298999999999999999999999999291294297299299300302303304304305305306306306307307307307307307307307307308308308308309309310310309307308309309309310310310310310310310310310310308308308308308308308309308308307308307307307307307307306306306307307307307307307307307306306306306305305305305305305304304305305305304305305305305305305305305306306306307307308309310310309310310310309310310309309308308308307307306306306305305305305306306306306306306306307307307307307307307307306306305305305304304304304304304303303303303303303303302301301301300299298297296296294294293292293294294294295294294294294294294295295294294294294295295295294294293293293293293293292292292292292292291290288286285284283283283282282282281281280280281281281281281282282283283284284284284284284284284285285284284284283284284283282281281280280279279280281282282283284284285286285285285285285285285285285285285285285285285285285284283282282281282282281281281281281280280280281280281281281282282282282282282282281281281280281280279279280280280281281282282281281282282281282281280279279279279279279279279279280279280280280281281281281282283283283285285285285285286285286285286286286286286287288288288287288288288288288288289289288288288288288288288288288288288288288288289289288289289290289289290289289289289289288288288288288288288288288288288287287287286286286285285285284284285285284285284284284284284284284285285285286286287287287287286286285285285285285285285285285285285285285285285285285285285285286286286286286286286286286287287287287287287288287287287288288288288288288288288288288288288288289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291292292292292293294295296296297296296296297296295294295298999999999999999999999999999294294297300300301303304305305306306306306307307307307308307307308308308308309308309308309309310308307307308309310309309310310310310310309309309308308308308308308308308308308307307307307307307306306306306306306307306306307307306306305306306306305305305305304305304305305305305305305305305305305305305306306306307307308308309310310310310310310309310310309310309308307307307307306306306305305306305305305306307307307308308307307307307307307307306306305305304304304303303303304303303303303303302302301301301300300299297297296295295294293294295295294294294294294294295295295295294295294294295295294294294294293292292292292292292291292292292291290289287286285284283283283283283283282281281281281282282282282282283283283283284284284284284284285284284285284284284284283282281281280280280280281282283283285285285285286286286285285285285285285285285285285285285285285285285284283282282282282281281281281281281281281281281281282282282282282282282282282282281281281281281280279280280280281281281281281281281282282282281280280280279280279279279279279279280280280281281281281281282283283285285285285285285285285285286286286286286287287287287288287287288288288288289288288288288288288288288287287288288288288288288288288289289288289289289289289289289289289288288288288288287288287287288288287287287286286286285285284284284284284284284284284284284284284285285285286286287287287287287286286286286286285285285285285285285285285285285285285285285285285285285285286285285286286286286287287287287287287287287287287287287288288287287288288288288288288289289288288288288288288288288288288288288288288288288288288288288288288288287288288287287287287287287287287288288288288288288288288288287287287287287287287287287287287287287287287286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297295294293293294295295296296297297297297297297297296295294294297299999999999999999999999999293293296298300301303304305306306306306306306307307308308308308308308308308308309309308308308309309308307306307308309309309309310310310310310309308308308308309309308308308308308308307307307307307306306305305306306306306306307307306306306306306306305305305305305305305305305305305305305305305305305305306306306307307307307308309309309310310310310310310310310310309309307307307307306307306305306306306306306306307307308308309308308307307307307307306306305305305305304303303303303303303303303302302302302301301300300300298297296295294294294295295295295294294294294294295295295295295295294294295294294293293293292291291292292292291291291291292292290290288287286284284284284284283283283282282282281281283284283283283283283283283283283284284283284284284285284284284283283282281281281281281281282283284285286286286285286286286286286285285286285285285285285286285285285285285284284283282282282282282282282282282282281281282282282283283283283283283283283282282281281281281280280280280280280281281281281281281281282282282281281280280280280280280279279279280280280280281281282282283283284285285285285285285285285285285286286286286286287287287287286287287288288288288288288288288288288288288288287287287288288288288289289289289288288289289289290289289289289289288288288288288288288288288288288287287286286286286285284284284284284284284284284284284284284284284285285286286286286287287286286285285285285285285285285285285285285285285285285285285285285285285285285285286286286286286286287287287287287287287287287287287287287287287288288288288288288288288288288288288287288288288288288288288288287287287287287288288288288288287287287287287287287286286286286287288288288288288288287287287287287287287287287286286286286286286286286286286286286285285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294295295295296298298298298297298297298298297296294294294297300999999999999999999999999999293294297299300302304305306306306307306306307307308309309309308308309309309309309309308307309309309308999999306308309309309309309310310310309309308307308308308308308308308308309308308308308307307307306306305305305305306306306306306306306306306306306306306305305305305305305305305305305305305305306306306306306307307308308309309309310311310310311310311310310310310309309308307307306307307306306306306306307307308308308308309308308307307307307306306306305305305305305304304304303304304303303303302301301302301301300299298297296295294294295296296296296295295294295295295296296295295295295294295295294293293292291291292291292291291291291291292292291290289287287286285284284284283283283282283282282282282284284283283283283283283283283283284283284284284284284284284282282282281281281281281281283284285285286286286286286287286286286286286286286285285285285285286285285285285285284283282282282282282282282282282282282282282283283283284284284284284284283283282282280280280280280280279279281281281281281281281281281281282281282281281281280280280280280280280280280281281282282283283284285285285285285285285285285285285285286286286286286286286286286287287287287288288288288288288288288288288287288288288288288289288289288288289288289288288289289289288289289289288288288288288288288288288288288287287286286285285285285284284284284284284284283284284284284284285285285285286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285286286286286286287287287287287287287287287287287287287287287287287287287287287288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286287287288288288288288287287287287287287287286286286286286286286286285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295296296297297298298298297297297297297297295294294295296299999999999999999999999999999999999295299300302303305306307307307306306307307307308308309309309309309309308308308309307307309310309309308309309310309309309309309309310309309309308308308308308308308309309309309309309309308308308307307307306305306305306306306306306306306306306306306306305305305304305305305305305306306306306306306306306306307307308308309309309310310311310310310311310310310310310309309309308307307306306307307307307307307307308309309309309309308307307307307307306306306305304304304304304303303303304303303302302302302302301300300300299297296296295295295296296296295296295296296296296296295295295295295295295294294293293292291291291291292292292291291291292292292291290287287286285285285284283283283283283283283283282283283283283283283283282283283283283283283283284284285284284282282281281281281281281282283285285286286287286286286287287287286286286286286285285285285286286286285285285285285284283282281281282281282282282283283283283284284285285285285285285284284283283282282281280280280280279280280281281281281281281281281281282281282282282282281281280281281281281281281281282282283283284285285285285285285285285285285285285285285286286286286286286286286286286287287287287287287287287287287287287287287287287288288288288288288288288289289289288289289289289289289289289288288288288288288288288288288287287286286286286285285285285285284284284284284284284284284284284285285285286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285286286286286286287286287287287287287287287287288287287287287287287287287288287287287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286287288289288288288287287287287287287287287286286286286286286285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310310306302299296295296297296298299299299298298297297297296295294294294295297300999999999999999999999999999999999999298301302303304305306307307307305305306306307307308308308307308308308307306307308308308309310310310310310310309309309309309309309309309309308308308308308308308308309310310309310309309309309308308307307306306306306306306306306306307307306305306306306305305304304305305306306306306306306306306306306307307308308308309310310310311311311310311311311311310310311310310309309308308308307306307308308308308308309309309309309309309308308307307307307306305306306305305305304304304304304304303303303303302302302301301301300299298297296295296296296296296297296296296296296296296296296295296295295295295294293293292292291291291292292292292292291292292292291290289288286286285285285284284284283283284283284283283283282282282282282283283284283283283283283283284284284283283282282282282282281281282284286287286286287287287287287287287287287286286286286286286286286286286285285285285285285284283282282282282282283283284284284285285285286286286286286285285285284284282282281281280280280279280280280280281281281281281281281281281281281281281281281281281280281281281281281281282283283284285285285284284285285285285285285285285285285285285286286286286286286286286287287287287287287287287287287287287288287287288288288288289288288289289289289289289289289289289289289289289289289289288288288288288288287286287286286286285285285285285285285285285284284284284284284285285285286286286286286286286285285285285285285285284284284285285285285284284285284285285285285285286286286286286286287286287287287287287287287287287287287287287287287288288288287287287288288287287288288288287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286287288289288287287287287287287286286286286286286285285285285285285285284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304302303299294295297296296298300301300300299298296295294295294294296297298300999999999999999999999999999999999999299301302303305306305306307307307306306307307307307308307306306306307306306306307308308308309310310311310310310310309308308308308308308308308308308308308307308308308309309310310309309309309309309308307306306306306306306306306306306306306306305304305305305304305305305305305306306305305306306306306307307307308309309310310311310311311311311311311311311311311310310310309309308308308307307308308309308309309309309309309310309309308308307307307306306306306306305305304304305304304304304304303303302302302302302301300300299298297296296296296296297297297297297297297297297297297297296296296296295295294294293293292292291291292292292292292292292292293292290289287287286286286285285284284284284284284284283282282282281282282283282283284284283283283283283284284284283283282282281281280281282283284285287286287287287287287287287287287286286286286286286285286286286285285285285285285285284283283282283283283283284284285285285286286286286286286286286285285285284283282282281280280280279279280280280280280281280281280280281280281281281281281281281281281281282282282281282282283283284285285285285285285285285285284284284285285285285285286286286286286286286286287287287287287287287287287287288288287288288288288288289288288288288289289289289289289289289289289289289289289288288288288288288288288287287286286286286286286286285285285285285285285285285284285285285286286286286286286286286286285285285285285285285284284284284285285285285285285285285285285285286286286286286287287286287287287287288287287288287287287287287287287287287288287287287288288287288287287288288287287288287287287287287287287287287287287287287287287287286286286286286286286286286286286286287287288287287287287286286286286286286286286285285285285285284284284284284284284284284284284283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299299298297296295297298301301301301299296293293293295295297297297302302999999999999999999999999999999999999302303304305306306306307308308308307307307308307307307306306999307307999999307307308308309310310310310310310309309308308308308308308308308308308308308308308308308309309309309309309309309309309309309308307307307307306307307306306306306305305305305305305305305305305305305306306306306305306306306307307307307308309309310310311311311311311311310310310310310310310310310309309308308308307307308309308308309309309309309309309308309308307307307306306306306305305305305305304304304304303304303303302302302302302301301300299299298297297297296296297297297297297297297297297297297296297296296296295295295294294293293292291291291291291291292292292292292292291290289288287286286285285285284285284284284284283282282282282282281282282282283284284283283283283283283283283283283282282281280280281281282283285286286287286286287287287287287287287286287287287286286285285285285285285285285285285285284284284284284284285285285286286286286286287287286286286286286285285285284283283281280280281279280279280279279280281280281280280281281281281281281281282282282282282282282282281282283283284285285285285284284285284284284284284284285285285285285285286286286287286286286287287287287287287287287287287288287287288288288288288289288288288288289289289289289289289289289288288288288288288288288288288289289288288287286286286286285286286285285286285285285285286285285285286286286287286286286286286286286286285285285285285285285284284285285285285285285285285285285286286286286286286287287287287287287287287288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286285286286287287287287287287286286286286286286286286285285285285285284284284284284284284284284283283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299298296294294296298300301301301301298294291293292294296297298299304999999999999999999999999999999999999301304305306307307307307308308308308308308307308308307307306306306306307308307307308308309309310310310310310309308308308307307307308308308308308308308308308308308308309309309309309309308309308308309309309308307307307307307307306306306305305305305305305305306305305305305305306306306306306306306307307307308309309310310310311311311311311311311310310310310310310310310310309309308308309308308309309309309309309309309310310309309309308308307307307306306306306306306305305304304304304303304303302302302302302302301301300300300298297297297296296297297298298297297297297297297297297297297297296296295295294294294293293291291291291291291292292292292292292291291289288287286286286285284284284284283283283282282282282283283282282282283283285284284284283283283283283283283282282281281280280280281282283284285286287287287287288288287288287287286287287287287287286286285285285285285285285285285285285284285285285286286286286287287287287287287287286286286287286285285285285284283281280280280280279279279279280280280280280280280281281281281281281281282282282282282282282282282282283284284285285285284284284284284284284284284284284284285285285286286286286286286286286287287287287287287287287287287287287288288288288288288288287287288288288288288289288288289288288288288288288288288288288289288288288288287287286286286286285285285285286286286286286286286286286286286286286286286286286286286286285285286285285285285284284284285285285285285285285285285285286286286286286287287287287287287287287287287287286287287287287287287287287287287287287287287287287287287286287287287287287287286286286286286286286286286286286286286286286286286286286286286286286285285286286286287287287287286286286286286286286286285285285285285284284284284284284284284283283283283283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293294294293293293295298300301302302302300298296296294295297298297298300304999999999999999999999999999999999999303305306307308308308308308309308308308308308308308308307307307306306307308308308308308309309309309309309309308308308307307307307308308307308308308308308308308308308309308309308308309308308308308308309308308308307308307307307307306306306306306306306306306305305305306306305306306306306306306306307307307308309310310311311311311311311311311311311310310310310310310310310309309308308309308309309309309309309309309309309309309309309308308307307307307306306306306305305305305305304304303303303302302302301301301301301300300299299298297297297297297297297297298297297298297298297297297297296296296295295295294293293292292291291292291291292292292292292292291290289288287286286285285285284284284283283282282282282282282283283283283283283284284284284284283283283283282283283282281281280280280281281282283284285286287287287288288288287287287287287287287287287287287286286286286286285285285285286286286286286286286287287287287287287287286287286286286286286286286285285285285284283282280280280280279279279279279279279280280281281281281281281282282282282282282282283282282282282283284284285285285284284284284284284284284284284284285285285286286285286286286287287287287287288288288288288288288288288288288288288288288288288287287287288288288288288288289288288288288288288288288288288288289289289288288288287287286286286286286286286286286286285286286286286286286286286286286286286286286286286286285285285284285284284284284285285285285285285285285285285286286286286286286287287287287287287287287288287287287287287287287287287287287287287287287287287287287287286286287287287287287287287286286286286286286286286286286286286286286285286286286285285285285285285286286287287287286286286286286286286286285285285285285284284284284284284284284284283283283283283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292294293294293294297299301302304304303301298298297300301300299298299302999999999999999999999999999999999999301303305305307309308309309308309309309308309308308308308308308307306307307308309309308308309308308308308308309308308307307307307307308308308308308308308308308308308308308308308308308308308308308308308308308309308307307307307307308308307308307307307306306306306306306306305305305306306306306307307307307308309310310310311311311312312312311310310310310310309310310310310309309309308309310309309309309309309309309309309309309309309308308308307307307307306305305305305305305305305304304304304303302302302302301301301301300300299298297297297297297298297296297297297297298297297297297297296296296295295295295294293293293292292291291291292292292292292291291291290289288287287286286285284284284284283282282281282282282282283283284284283283283283284285284283283283282282283283282282281281280280280280280281282283284286287287287288288288287287287287287287287287287287287287287287286286286286286286286286287287287287287287287287287287287287286286286286286286286286286285285285284284283282280281280280279279279279279279279280281282281281281281282282282282283283283283282283282282283284284284285285284284284284284284284284284284285285285285285286286286286287287287288288288288288288288289288288288289288288288288289289288288287287287288288288288288288289289288288288288288288288288288288288289288288287287287287286286286286286286285285285286286285285285286286286286286286286286286287286286286286286285285285285284284284284285285285286285285285286285286286286286286286286287287287287287287287288288287287287288288287287287287287287287287287286287287287287287286286286286287286286286286286286286286286286286286286286285285285285285285285285285285285285285285286286287287286286286286286286285285285285285285285285284284284284284284284284283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297290291291292291293294297299300301303305305304301298298298301303301298298300999999999999999999999999999999999999999301303305306307308309309309309309309309309308308308308308309309308308308308308309309309309309308308308308308309309309308308307307307308308307308308308308308308308308308308308308308308308308308308308308308308308308308308308308308308308308308307307306306306306306306306306306305306307306307307308307307309309310309310310311311311312312312311311311310310310309309310310309309309309308309310310310310310310310310309309309309309309308308309308308307307307306306305305305305304305305305305304304303303303302302301301301300300300299298298298297298298298297296297297297297297297297297297297296296295296295295295295294293293292292291291292292292292292292291291291290288288287287286286285285285285285284283283282282282282282283284285284285284283283283285285284283283283282282283282282281280280280280279280280281282283284286288288288288288288288288288288288288288288288288287287287287287287287287286287287287287287287287287287287287287287286286286286286286286286286286286286285285285284283282281280280280279279279279279280280280282282281281281282282282282282283283284283283283283284284284285285285284284284284284284284284284285285285285285285285286286287287287288288288288288288289289289289289289288288288288289289289288288287287287287287287288288288287287287288288287288288287287288288288288288287287287287287286286285286286286285285285285286286286286286286286286286286286286286286286286286286286285285285285284284285285285285286286286285285286286286286285286286286286286286287287287287287288288287287287288287287287287287286287287287286286287287287286286286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285286286286287287286286286286286286285285285285285285285285285284284284284284284284283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302290290289290290290291293295297300301303305305305304299297296298301304302298300301999999999999999999999999999999999999999303304304306307308308308308309308309309309308308308308309308308309308308308308309308309309308308308308308309308309309308308308307308308308307307308308308308308308307307307307307308308308308308309308308308308308309309308308308308308308308308308308307307307306306306306307307306306307306307307307307308310309310310310311311311312312312312311310310310310310309309310310309309309309309310310310311310310310311310310310310309309309309309309308308307307306306306306305305305305305305305305305304304303302302302301301301300300299299299299298298298298298297297297297297297297297297297297297297296296295295295295295294294294292292292292292292292292292292292291291289288288287287287286286286285285284284284283283283282284283284284286286286285285283284284285285285284283283282283283282281280280280281280280279280281282283284286287288288288288288288288288289288289288288288288288288288287288288288287287288288288287287287287287287287287286287286286286286286286286286286286286286285285284284283282281281280279279279279279279279280281282281281281281281282282282283283284284283283284284284284285285285284284284283283283283284284284284284284285285285286286286287287287288288288288288288288288288288288288288288289289289288288287287287287287287287288288287287287287287288287288287288288288288288289288288288287287287286286286286286286285286286285286286286286286286286287286286286286286286286286286286286286285285285285284285285285285286286286286286286286285286286286286286286286286286287287287287287287287287288287287287287287287287287286287286287287287287286286286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285285286286286286287286286286286286285285285285285285285285285285284284284284284284284284284283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295286286287288290290292295297299301303305306307306303296293293294300304303297301999999999999999999999999999999999999999999303304304306308309309309309309309309309308308308307308308308308308308308308308308308308308308308307308308308308308309308308307307308308308307307307307307307307307307307307307307307307307308308308308308308308308309308308308308308308308308308308308307307306306305306306306306306306306307307308308309309310310310310310311311311312312312312311310310310309309309309310310309309309309309310310311311311311311311310310310310310309309309309309309308307307306306306306305305306306306306306305305305304303303303302302301301300300300299299298298298298298298298297297297297297297297297297297297297296296295295294294294295295295294292292292292292292292292292292291290289288287287287287287287287286286286285285284283283283284285286287288288287287286285284284284285285284283283283282283282281280280280280281280280280280281282283285287288288288288288288289289289289289289289289289288288288288288288288288288287287287287287287287287287287286286286286286286286286286286286286285285285285285284284283282281281280279279279279279279279279280280280281281281282282282283283283283284283284284284284284284285285284284284283283283283283284284284284284285285286286286287287287287288288288288288288287288288288288288288288289289289288288287287287287287287287288287287287287288288287287287287288288288288288288288288288288287287286287286286286286286286286285286286286286286286286286287287287287287286287286286286285285285285285285285285285285285285285286286286286285285286286286286286286286286286286287287287287287287288288287287287287287287287287287287287286287286286286286286286286286286286285285286286286286286285285285285285285285285285285285285285285285285286286286286286287286286285285285285285285285285285285285284285285284284284284284284284284284283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302288285287287285286290292293297298301303306308308309307303294287295295300304303298300999999999999999999999999999999999999999999302303304306308308309309310309309309309308308308307308308308308308308308308308308308308307308307307307307308308308309308308308308308307307306306306307307307307307307307307307307308307308308308308308308308308308308308308308308307308308308308307308307307306306305305305306306305306306307307308308309309310309309309310310310311311312312312311310310309309309309309309309309308309308309310310311311311311311311311311310310310309309309308309308308307307307306306306306305305305305305306305305304304304303302302302301301301300300300300299298298298298297297297298298297297297297297297296296296296295295294294294294294294295295294292292292292292292291291292291290288287287287287287287287287287287287287286285283284285286288289289289289288288287286286286285284284284284283283282282282281280280280280280280280280279279281282283285287288288288288288289289289289289289289289289289289288288288288288288287287287287287287287287287286286286286286286286285285286286286286286285286285285285284284284283283281280280280279279279279279280280281280281281282282283282283283284284284283284284284284284285285285285284284283283283283283283283283284284284285286286287287288288288288288288288287287287288288288288288288288288289289288288287287287287287287288288287287287287287287287287287287287288288288288288288288288287287287287287286285286286286286286286286285286286286286286286287287287287287287287287287286285285285285285285285285285285285286286286286285286285285285286285286286286286286286286286287287287287287288287287287287287287287287286286286287286286286286286286286286286286285286286286286286285285285285285285285285285285285285285285285285285285286286286286286287287286286285285285285285285285285285285285285285285285284284284284284284284284284284284284283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303302300296291289288288286288291293295298301303305308308309308306301294291297297299305303301999999999999999999999999999999999999999999300301303305306307308309310310309309309309308307307307307308308308308308308308308308308308307307307307307307307308308308308308308308308307307306306306306307306306306306306307307307307308308308308308308308308308308308309308308308308308309308308308309307307307306306305306306306306306306307307308309309309310310310310310310310311311312312312311310309309309309309309309309309309308309309310311311311311312312311311311310310310309309309309309308308307307307306306305305305304305305306306306306305305304303303303302302301301300300300300299299298298298297298298298298298298297297297296296296296295295295294294294294295294295294294293293292292292291291291291290289288288287287287287288288287287287287286286285285286288289289290290290289290289289288287287286285285284284284283283282282281281280280280280280280280280280280281283284285287288288289289289289289290290290290290290289289289289288289288288287287287287287287287287286286286286285286286286286286286286286286285285285285285285285284284284283282281280281280280280279279281280281280281281282282283283283283284284283283284284284285285285285284284284284283283283282283282283284284284284285286286287287288288288288287287287287287287287287287288287288288288288289288288287287287287287287287287287287287287287287287287287287288287287288287288287287288287287287287287287286286286286286286286286286286286286286287286286287286287287287287287287286286285285285285285285285285285285285286286285285286286285285286286285285285285285286286286286287287287288287287287287287287287286286286286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285285286286286286286287287287286286286285285285285285285285285285285285285285285285285285284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301298297296294291289287288288290293296298300303306307308309309308304299293292294299303306303305306999999999999999999999999999999999999999300302304305306306308309309309309309309309308308307307308307307307308307307308307308308308307307306307307307307307308308308307308308308307306306307306306306307306306307307307307307307307308308308307308308308308308308308308308308307309309308308308308308307307307306306306306306307307307307308309309309310310310310310311311310311312312312312310310310309309309309309309309309309309309310310311311311312312312311311311311311310309309309309308308308307307307307307306306306306305305305306306306306306305304303303302302302301301301300300299299299298298298298298298298298298297297297297296296295295295295294294294294295295294294294294293293291291291291290290289289288288288288287288288288287287287286286287287288289290290291291291291291290290290290289288287286286285284285284283283282282281281280280280281281280280279279281283284285287288288288289289290290290290290290290290290289289289289289288288287287287287287287287286286286286285285285285285286286286285285285285285285285285285284284284283283282282281281280280280280280280280281280281282282282283283283283283283284284284284284284285285284284284284284283283283283283282282283283284285285286286287287287288288288288287287287287287287287287287288288288288288288288287287287287287287287287287287287286286287287287287287287287288288288288288288288287287287287287287287287287287287287287286286286286286286286286287286286286287287287287287287286286286285285285285285285285285285285285285285285285286286286285285285284285285286286286287287287287287288287287287287287287287287286287287286286286286286286286286286286286286285285285285285285285285285285285285285285285285285285285285286286286286286286287287287286286286286285285285285285285285285285285285285285285285285285285285285284284284284284284284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289294302302298295294290291291291289290291292294296298300303306307307307308306303297294294297299305306304301305999999999999999999999999999999999999999300302304305305306308309309309309309309309308308308308308307307307308307307307308309309308308307307307307307307307307308308307307308307307307306306306306306306307307307307307307307307307307308308307307307308308308307307308308307308309308309308308308307307307307307306306306306307307308308308309309309310310310310310311310311311312312312311311310310310309309309309309309308308309309311311311312312312312312311311311310311310310309309309309309308308307307307307307306306306305305305305306306306306305305304304303302302301301301301300300300299298298298298298297298298298297297297297296296295295295294295294294294294294294294294293294293293292291291290290289289289289288288288288288287287286286288288289290290291291291292292292292291291290291290290289288287287286285285284284283282282281281281281280281281280280280280281282283285286287289289289289290290290290291291290290290290289289289288288288288287287287287287287286286286286286286285285286286286286286286285285285285285285285285284284283283283283282281281281280281280280282281282281281281282282282283283283283283283284283283284285285284284284284284284284283283282282282283283284285286286287287287287288288288288287287287287287287287287287288287288288288288287287287287286287287287287287287287287287287286287287287288288288288288288288288288288287287287287287287287287287287287287287287286286286286286286286286286286287287287287287287287287286286285285285285284284285285285285285285285285285285285285285285285285286286286286287287287287287288288288288287287287287287287287287287286286286286286286286286286285285285285285285285285285285285285285285285285285285285285285285286286286286286287287287287286286286285285285285285285285285285285285285285285285285285285285285285285285285285285285285284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296293293292293295294292292293294295296298300302304306305305305304301296298296302303307306303301999999999999999999999999999999999999999297300302304304305306308308308308308308309308308308308308307308307307307307307307308309309309309309308308307308308307307308308308308308307307306306306306306306306307307307307307307307307307307307307307307307307308308308308309308307307307308308308308308308307307307307306307307307307308308308309309308308309309310310310311310311311311311312311311310310310310309309309309308309309309309310311311311312312312312311311311310310310310309309309309309309308308307307307307306306306306305304305305306306306306305305304304303303302302302301301300300299299298299298298298297298297297297297297296296295295294294294295294294295295294294294293294294294293292291291290290289289290289288288288288287288288289290290291292291292292292292292292292292291292291290290289288288288287287285284284284283283282281282281281281281280281281280281283283284286287288289289289290290291291291291291291290290290289289288288288288288288287287287287287287287287286286286286286286286286286286285285285285285285284284284284284284283283282281281281281280281281281280281281281281282282282282283283283283283283283284284284285285284284284284284283283283282282282283283284285286286287287287287287288287287287287287287287287287287287287288288287288288287287287287287287287287287287287287287287286287287287288287288288288289288288288288288287287287287287287287287287287287287287287287286286286286286286286286286287287287287287287287287287286285285285285284285285285285284284285284285285285285284284284285285286286287287287287287287287288287288288287287287287287287287287287287286286286286286285285285285285285285285285285285285285285285285285285285285285285285286286286286286286287287287287287286286286286286285285285285285285285285285285285285285285285285285285285285284284284284285284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297294292291292294296297297298296295296295296297299300303304303303302300300299296300303306308308306304302999999999999999999999999999999999999999298301303304304305306307308308307308308308308308308307307307307307307307307307307308309308309309309309308308308308307307307308308308307307307306306306306306306307307307307307307307307307307307307307306307307307307308308308308307307308308307308307307308308308308308307307307307308308309309309309309308309309309310310310310310311311311311312312311310310310310309309309309309309309309310310311312312312312312311311311311310310310310309309309309309309308308308308307307307306306306305305305305305306306306306305304305304303303303302302301301300300299299299299298298298297297298297297297296296295295295295295295294295294294294294294293293294294294294293293292292291290290290290289289289289289290290291291292292292292292292293292293292292292292292291290290289289288288287287286285285284284283282282282281281280281281281280281283283284285286288289289290290290291291292291291291290290290289289288288288288288288287287287287287287287287287286286286286286286286286286285285285285284285284284284284283283283283283282282281281281280280281280282281281282282282282282282283283283282283282283284284285284284283284283283283282283283282283283283284285286286286287287287287287287287287287287287287287287287287288288288287287287287287287286287287287287288287287287287286286286287287287287288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287288288287287287288287287286285285284284285284284284284284284284284284284284284285285285286286287287287287288288287288288287287287287287287287287287287287287287287286286286286286286285286285285285285285285285285285285285285284285285285286286286286286286287287287287288288287286286286286286285285285285285285285285285285285284284284285284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294292291292294297298300300301299297295296297298300302303301300299300299297297298304308309310310308306304999999999999999999999999999999999999297300303303303305305306307307307308308308308308307307307307307307306307307307307307308308309309308309308308308308308308308307308308307307307306306306306306306306307307307307306306306306306306306306306306306306307307307307307307307307308307307307307307308308308308308308307308308308308309308308308308308308309309309310310310310310311311311311311311310310309309309308309308308309309309310311311311311311311312312311311311310311309309309309309309309309308308308307307307307307306306306306306305305305305306306306305305304304303303303302302301300300299299299299299298298298297298298297297297296296295295295295294294295294295294293294293294293293294294293293293293293293292293292291292292292291292292292293292292292292292292292292292292292292292291291291290290290289288288287287286285285285284284283282281281281281280281281282283284284285286288289289290290290291291292292291291290290290289289288288288288288288288287287287287287287287287286287287286286286286286286285285285285285285284284284284284283283283283283282281281280280281280280281282282281281282283283283282283282282282282282283284284284284283283283283283282282282282283283283284285286286286287287287287287287287287287287287286287287287287288287288287287287287286286286287287287287287286286286286286286287286287287287288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288288288288288287286285285285284285284284284284284285284284284285284285285286286287287288288288288288288288288288288288288287287287287287287287287287287287286286286286286286286285285285285285285285285285285285285285285285286286286286286287287287287288288288288287286286286286286285285285285285285284284284284284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999290292292293294295296298300300302304302299295296298299300301302300298297297298298300306309311311311311309307304303999999999999999999999999999999999300302303304304305306306306307307307307308308307307307307307307307307306307307307307307308309308308308308308308308308308308308308307307307306306306306306306306306306306306306306306306305305306306306306306306306306306306306306307307307307307307307307308308308308308308308308308308308308308308308308308308308309309309309310310310310311311311311311311310310310309309308308308308309309309310311311310310311311311312312311311310310310309309309309309309308308308308308308307307307306306306306306305305305305306306305305305305304304304303303303302301300300299299299299299298298298298298298297297296296295295295294294294295295295294294294293293293293293293293293293293293293293293293293293293292292293293293292292292292293292292292292292292291291291291291291291291290289289289288288287286285285285285284283282282282282282282283283284285285286286287289289290290290291291292292291291291291290290289289289289289289288288288288288287287287287287287287286287287287286286286286285285285285284284284284284284284284283283283283282282281281281280282282281282282282282282283282282282282281281281282283284284284283283283283283283282282282282282282283283284286286286287287287287287287286286286286287286286287287288288287288288287287286286287286286286286286286286286286286286286286287287287287288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287288288288289288288288288287287286285285285285285285285285285284284284285285285285286286287288288288288288288288288288288288288288288287287287287287287287287287287287287287286286286286286286286286286285285285285285285285285285286286286286286286287287287287288288288288288287286286286286286285285285285285284284284284284284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309999999999999999999999999999999999999999999999999999999999999304999999999296297295293293293294295296296298299301302303304304303298297298299300299299301297296297300304307310311312312311311310308305303999999999999999999999999999999299302303302303304305305306307306306307307307307307307307307307307307307306306307307307308308308308308308308308308308308308307308307307307306306305306306306307307307307307306306306305305305305306306306306306306305305305306306306306307307307306307307307308308308308308308308307308308308308308308308308309308308309309309309310310310310310311311311310311311310310309309308308308309309308309310310310310310311311311312312312311310310310310309310309310309309308308308308308307307307307307306306306306305304304305305305305305305305304304303303303302302301300300299299299298298299299298298298298297297296295295295294294295295295295294294294293293293293293295293293293293294293293293293293293293293293294293293293293293293293293293292292292292292291291291290291291291291290290290289289288287287286286286286285284284283283284285284284285286286286287288289290290290291291291292292292292291291291290290289289289289289289289288288288288287287287287287287287287287287287286286285285285284284284284284284284284284283283283283283282282281281281281281281283282283281282281282282282282281281281281281283283284283282282282282283283282282282282282282282283284285286286286286286286286286286286286286287287287287287287287287287287287287287286287286286286286286286286286286286286286286286287287287288288288288289289288288288288288288287287287287287287287287287287287287287287287287287287287287287288288288288288288289288289289288288288287286285285285285285285285285284285285285286286287287288288288288289288288288288288288288288288288287287287287287287287287287287287287287286286286286286286286286285285285285285285285285285285286286286286286286287287287288288288288288288287286286286285285285285285285285284284284284284284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309999999999999999999999999999310308999999304303301299999303300298294295296296295295295296296296296298299301302303304305305304299298298298299297300302301302305306308310312313313312312311310308306304999999999999999999999999999999302304303301304305305305306307307306306306307307307307307307307307307306307306307307307307308308308308308307308308308308307308308308307307306306306305305306307306306306306306305305305305305305305305305305306305305305305305305305306307307307306306307306307307308308307308308308307308308308307308308308309308308309309308309309310310310311311311311310310311311310309309309309309309309309309309310310310310311312312312311311311310310310310310310309310309309308308308309308308307308307307306306306306306305305305305305305305305304305304304303303303302301301300300299299299299299299299298298298297297297296296295295295295295295295294294294294293293293293293293293293293293293293293293293293294293293293293293293293293293293293292292292292292292291291291290290290290291291290290290290289289288287287287287287286286285285285286286286286286286286287288289289290290291291291292292292292291291291291290290290290289289289289289288288288287288288288287287287287287287286285285285285285284284284284284284284284284284283283283283282282282282282281281281281281282282280281282281281282281281281281282282283283282281282282283283283282282281282282282282283284284285285286286286286286287286286286286287287287287287287287287287287287287286286287286287286286286286286286286286286287287287287287287287288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287288288288288289289289289289289288288287287285286285285285285285285286286286286287288288288288288288288288288288288288288288288287288287287287287287287287287287287287286286286286286286286286286286285286285285285285285285285286286286286286287287287288288288288289288288288287286286285285285285285285285284284284284284284284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309999999999999999999999311306999999302302300298300299301298298298298298299298297297297297299299300302302304305306306307306303300300299301302304305307307309310311313313312312312312312310309307305302999999999999999999999999304304304303303304305305305306306307306306306307307306307307307307307307306307306307307307307307308309308308307308308308308307307307307307306305305305305305306307307306306306305305305305305304304305305305305305305305305305304305305306307307307307306306306307307307307307307307307307308308307308308308309308308308308308308309309310310311311311311311310310311311310310310309310309309309309309309310310310311311311312312311311311310311310310310310309309309309309308308309308308308307307307306306306306305305304305304305305304304305304304304304304303303302301301300299299299299299299299299298298298298297296296296295295295294294294294294293294293293294294293293293294293293293293293293293293293293293293293294293293293292292292292292292292292291292291291291291291291290290290291290291290289290289288287288288287287287286287286287287287287287287288288289290290290291291291292292292292292292291291291290290290290290289289289288288288288288288288288287287287287287286286285285285285285284284284284284284284284284283283283283283282282283283281281281281281281281279281282281281281281281281281281281282281281281281281283282282282281281282282282282283283284285285285286286287287286286286286286286286287287287287287287287287286286286287286286287287287287287286286286286286286287287287287288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287288288288289289289289289289289289288288287287286286286285285285285286286287287288288288288288288288288289288288288288288288288288287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286286287287287287287287288288288288288288288287287286285285285285284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309309304999999999308300302309306302301301301299299300302302301302301302303302301301299300299301302302303304305306307307308307307304303305306306308308309310311311312313313312312312312311310309308306304999999999999999999999303303304303304303304305305305306306306306306306307307306307307307307307307306306306307308308307308308308308308307307307307307307307306306306306305305305305306307307306307307307305305305305305304304304304304304304304305305305304305304305306306306306306306306306307306307307307308307307308308308308308308308308308308308309308309309310310310311311311311310311310311311311310310310310310310309309309309310310311312312312312311311310311311311311310310310309309309308309309308308308308308307307307306306306306305305305305305305305305305304304304305304304303302302301300300299299300299299299299299298298298298297296296295295295295295294294294294294294294293294294294293293294293293293293294294294293293293293293293294293293292291291291291291291291290290291291291291291291291290290291291291291290291290289289289289288288288288288288288288288288288288288289289290290290291291291292292292292292292291291291291290290290290290290289289289289288288288288288288288287287287286286285285285285285285285284284284284284284283284284284283283282282282282282281281280280280280280281281282281281281281281281281281281281282282281282282281281281281281281282282283283283284284285286286286286286286286287286286286286286287286287287287286287287286287287287286286287287287287287287286286286287287287287287287288288288288288288288288288287288288288287287287287287286286287287287286286286287287287287287287287287288288288289289289289289289289289289289288288287287286286286286286286286287288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287286286286286286286286286286286286286286286286287286287287287287287287287287287287288288288288288288288287287286285285285284284284284284284284284284284284284284284284284284283284284284284284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304308305305301999999302299300302303301300301301301301303306305306305305305305305304304303303303304305305306307307307308309308308308307306307308309310311312312312312313313313312312312311311309309309307305305304999999999999303303303303304304304305305304305305306306306306306306306306307307307307307306307307306307308308308308308308308308307307307307306306307306306305304305304305305306306306306307307306305305305305304304303304303304304304304304304304304304304304305306306306306306306306306306306306307307307307308308308308308308308308309308308308309309309310310311311311311311311311311311312312311311311310310310310309309310310311312312312312312311311310310310311310310310309309309309308309309309309308308308308307307306306306306306305305305305305305305305305304304305305303303302301301301300299299299299299299299299298299298298297296296295295295295295294294294294294294294294294294294294294294294294294294294293294294293293293293293293293292292291291291291291291290290290291291292292291291291291291291291291291291291291291291290290290289290289289289289289289289289289289289289290290290291291291291292293293292292292291291290290290290290290290289289289288289289289288288288287287287287286286286285285285285285285285284284284284284283284284283284284283283282281282282282280280280280281281281281281281281281280281280281280281281281281281282281281281281280280282281281282283283284284285286287286286286286286286286286286286286286286286286286286286286286286286286286287286287287287287286286287287287287287287287288288288288288288288287287287287288287287286287287287286287287287287287287286287287287287287287287288288288289289289289289289290289289290289289288288288287286286286286286287288288288288288288288288288288288288288288288288288288287288287287287287287287287287287287287287287286286286285285286286286286286286286287287287287287287287287287287287287287287288288288288288288288287286286285285285284284284284284284284284284284284284284284284283283283284284283283284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305301300299999999999298299303303302302303303304304305307307306306307307306307307308308307307307308308308309309309309309309310310309309310311312313313313314313314313314312312312312311310309308309308306305305303999999999302302303304304304304303303303304304305306306305306306306306306306306307307307307306306307307308308308308308308308307307306306306306306306305305305304304304305306306306306306306306305305305304304304303303303303303303303303304304304303304304304305305305305306305306306306306306307307306307308309308308308308308308309309309309309309309310310310311311311311312312311311312312312311311311311310310310310311311311312312312312311311311311310310311310310310309309309309308309309308308308308308308307307306306306307306306305305305305305305305305305305305304303302302302301300300299299299299299299299299299299299298297297296295295295295294294295295294295294294295294295295295294294294294294294294294294294293293293293294294293292292291291291292292291291291290290290291291291291291290291291291291291292291291292292291291291291291291290290290290290290290289289289290290290290290291291291292292292292292291291291291290290290290290290290289289289289289289288288288287288287287286286286286285285285285285284284284284284284284284283283283283283282282281281281280281281281281280280280281281281282281281281280280281281281281280280282281281281280280281281282282282282283284285286286287286286286286287286286286286286286286286286286286286286286286286286286287287287287287286286286287287287287287287287287288288288289288288288288287287287287287287286286287286287287287287287287287287287287287287287287287287288289289289290290290290290289290290290289289289288288287286286286287287288288288288288288288288288288288288288288288288288288287287287287287287287287287286287287287287287286286286286286286286286286286287287287287287287287287287287287287287287287287287288288288288288288287287286285285285284284284284284284283284284284284284285284284284284283283283284283284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302300999296295299298298301303302304305305306305307309309307307308308309309310311310310310310310311310312311311311311311312311311311312312313314314314313314314314314314313312311311310310309309308307307307305304999999299303304304304305304303303304304304304304305305305306306305306306306306307307306306307307307308308308308308308307307306306306306306305305305304304304304304304305306306306305305305305304304304304303303303303303303303303303303303303303303303304304304304305304305305305305305305305305306306307307308308307307308308309309309309309309309310310311311311311311312312312311311312312312312311311311311311310311311312312312312312311311311310310310310310310310310309309309309309309308308308308307307307306306306306306306306306306305305305305304304305305304304304303302302301300300300299299299299299299299299299299298298297296296295295295294295295295295295294294295295294295295295295294294294293293294294294293293294294294293292292292291292292292292291291291290290289290291291291290290291291291291291292291291292292292292292291292291291291290290290290290290289289289290290290290290290291291291291292292292291291291290290290289289289290289289289289288289288288288288287287287286286285285285285285285285284284285284284284284284284283282282281282281281280281279281280281280281281281281281281281281281281280281280281281280281281281281281280280280281280281281282283283284284286286286286287286286286287286286285286286286286286286286286286286286286286286287287287287286286286287286287287286287287287287287288288288288288288288287287287287287287287286286286286286287287287287286287287286287287287287288288288289289289290290290290290290290290290290289289289288287287286287288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287286286286286286286286286287287287287287287287287287287287287287287287287287287287288288288288288287287286286285285285285284284284284284284284284284284285285285284284283284284284283283283283283283283283283284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307999999305306305303299296295296297297299300302303302305307308308308309309309310309310311311311312311311311311311311312312312312312312312312313312313313313314313313313314314314314314314314313312311311311310309309308308308308307305999999301303304304305304302302302303303304304304305304305305306306305306306307306306305306306307307307307307307307306306305306306305305305305304304303304303304304304305305305305305305304303304304303302303303303303302303302303303303303303304303303303303304304305303304304304305304304305305305307306307307307307307307308308308309309309309310310310311311312312312312312312312311311311312312312312312311311311312312312312311311312311311311311310310310310310310310309309309309309309308308307307306306306306306306306306305306305306305304304305304304305304304304304303303302302301301300300300299299300299298298299298298298297296296295295295295294294295294295295295295295295295294295295294294293293293293295295293294294294294293292292292292292292292292291291291290290289289290290291292291291291291291291291292291292292292292292292292291291291291291290290290290290289290290290290290290290291291291291291292292292291291291290290289289289289289288289289289288288288288288288287287287286286286286285285285285285285285284284284284284284283283282282281281282281280281281281281281281281281282282281281281281281281281280281281280282282281281280280280280280281280281281282284284284285286286286286286285285285286285285285285286286286286286286286286286286286287287287287287287286287287287287287287287287287287287288288289288288288288287288287287287287286286286286286286286287287287287287287287287287287288288288288289289290290290290290290290290290290290290289289288288287287288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287286286286286287286287287287287287287287287287287287287287287287287288287287287287288288288288287287287286286285285285285284284284284284284284285285285285285285285284284283283283283283283283283283283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306303999306304304301299298298299299298300304305304306308309310309309310310310311310311312312312312312312311312311312312313313314313313312313313313314314314314314313313314314313313314314313313312312312311310309309309309308308308306999999300303304304304304302302302303303304304304304304305305306306305306306306306305305305305306306306306305306306306305305305304305305304304303303303304304303302303304304304305304304304304304304303303303302301303302302303302303303303303303303302303303304304305304304305304306306304305305305307307307307307307307307308308309309309309310310310310311311311312312312312312311311311312312312312313312312312312312312311312311311311311311311311310310310310310310310310309309309308308308306307306306306306306305305305305305305305305305304304304305305304304304304303303302302301301301300300300300299299299298299298299299298298297296296295295295294294294295294295295295295295295295295296295294294294293293294294293294294294293293293292292292292292292291291291291290290289290290290291291291291291291291292292291292292292292292292292292292291291291291291290290290290290290290289290290290290290290290290291291292292291291291291290289289289289289289289289289288288288288287287287287287287286286285285285285285285285285284284284284284283284283283283282282282281281282282281281282282281281281282282282281280281281281281280280281280282282281280280281280280280280281281281282284284285285285286286286285285284285285285285285285285285285286286286286286286287287287286287287287287287287287287287286287287287287287288288288288288287288288288288287287287286286286286286286286286287287287287287287287287287288288289289289289289289289290290290290290290290290290290289288288287288288289288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287286287287287287287287287287287287287287287287287287288288288287287287287288288288287287287286286286285285285285285284285285284285285285285285285285284284284283283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309305306302306304301300301300300299300304306308309308310311311311311311311311311311310311312312311311311312312312313313313314314313313313314314314314314314313314313313313314313313313313313312312312311311310310309309308308308308306303303302304304304304304303302303303303303303303304304305305306306305305305305305305304305306306305305305305305305305304305304304304304304303303303303304303303303303303303304305304303305304303303303302302302302302302302302302303303303303304303303303303303303304304304304305305306305305305305307307307307307307307308308308309309309310310310310310311311311312313313312312312312311312312312312312312312312312312312312312311311310311310310311310310310311310310310310310309308308308307306306306306306306306306305305305305305305305305304304304304305304304304304303303302302301301301301301300300300300299299298299299298298298297296296295295295294294295294295295295296295295295295295295295294294295294294294294294294294293293293293293293292292291291291291291290291290290290290290291291291291291291291292292292292292292292292292292292291291291291291291291290290289289290290289289290290290290290290290290291292292292291291290290289289289289289289289289289288288288288288287287288288287286286286286285285285285285284284285284284284284284283283283282283283282282282282282283283282282282281282281281281281281280280280280281280279280280280280280281281280280281280281282282284284285285285285286286285285284284284284284285285285285285285285285286286286286286287286287287287287286286286287287286287287287287288288288288288287287288288288288287287286286286286286286286286286286286287287287287287287288288289289289289289289289290290289290290290290290290290290289289289288288289288288289288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288287287287287287288288287287287287287286286286286286286285285285285285285285285285285285285284284284283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308305307307303304303303304301303302301302302304306309310310310310312311310311311311311310311311311311311312311311312312312313313314314314314313314314314315314314314314314314313313313313312312312312312312312311311311310309309309309308308307306304304305304304304303303303304304304303303303304304305305305305306305305305305305305305306304304304304305305304304304304304304304303303302302303303302303302302302303304304305304303303303302303302302302302302302302301302302302302303303304303303303303303304304303303303304305305305305305306307307307307307307307308308309309309310310310311311311312311312312312312311312311311311311312312312312312312312312312312312312311310310310310309310310310310311310309309310309308308307307307306307306306306306306306305305305305305305305305304304304304304304304304304304303303302301301301301301300300299299299299298299299299298298297297296295295295295294294294294295295295295296296296295295295294294295294294294294294294294293293293293293293293292292291291291291291291290289290289289291291291291291291291292291292292292292292291291291291291292291291291291291291290290290290290289289290290290290290290290290291291292292291291290290289289289289289289289289289288288288288287287287288287287286286286286286285285285285285285285285284284283283283283283282283283282283283283283282282281281282283283281281281281281280281280280279279280280281280280280280280279279279281280283282283284284285285285285286286285284284284284284284284284284284284285285285285286286286286286287287287287287287287287287287287287287287288288288288288288288288288287287287287286286286286286286286286286286287287287287287288288288289289289289289289289289289290290290290290290290290290290289289289289289289288288288288288288289288288288288288288288288288288287287287287288287287287287287287287287287287287287287287287287287287287286287287287287287287287287287287287287287287287287287288288288288288287287287287287287287287287287287287286286286286286286286286286286286285286286285285285284284284283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999999306306999999307308305306304305302303302303301304304304304303303305307309310310310311309310309310311311311310310311312311311311311311312312313313313313313313313314314314314314314315314314314314314314313313313312312312312312312312312311311311310309309309309308307307305305305304304303304303303303304303303303304304304304305305305306306305305305304305305305305304304302304304304304304304303303303303303302302302302303302302302302303303303303304302303302302302302302302302302302302301302302302302303303304304303303303302303303303304303304304305306305305307306306306306307307307307308308309310310310310311310311311311312312312312311311311312311311312312312312312312312312312312312311311310310310310309310309310310310310310310309308308308307307306306307306306306306306306305305305305305305305305305304304304304304304304304304304303303302301301301300300300300299299299298299299299299298298297296295296295294294294294294295295295296296296296295295294294294295295294294293294294293293293294294293293292292291291291291290291291290289290290290291291291291291291291291291292291291291291291292291292291292292291291290290290290290290290290289290290290290290290290290290290291291292292291290290290289289288288289289289289289288288288288288288287287287286286286286285285285285285285285284285285284284283283283283283283283282282282282281282282281281281281282281281281281281281281280281280280281281282281281280280280279280280280281282282283283284285286285286286286286284284284284284284284284284284284284284285285285285286286287286286287287287287287287287287287287287287288288288288288288288288288287287287286286286286286286286286286286286287287287287288288288289289289289289289289289289290289289289289289290290290290290290289289289289289288288288288288288288288288288288288288288287287287287287287287287287288288287287288287287287287287287287287287287287287287286287287287287287287287287287287287287287287287287287288288288288288288287287287287287287287287287287287287286286286286286286286286286286286286286285286285285285284284284284284284284284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310999310309999310999999999999999999310999999999999999999999999999999999999999999999999999999999999999308309311305307308308308308306999304302302302302304302305305304305307307308308309311311312311310310309310310310310311310311310310311311311311311312313313313313314313313313314314314314314314314314314314314314313312312312311312312312312312312312312311311310310309308308307306305305304304304303304303303303303303303303303304303304304305305304305305305304304305304304304303303303303303303303304304304304304303303302301301301301302302302302303303303302302302302302302301301302302302302302303303301303303303303303304304304303303303303303303303303303304304305306305306306306306307307307307308308309310310310310310310311311311312313313312313312312312312312312312312312312312312312312311311311311310310310310310310310309310310309310309309308308307307307306306306307306306306306306306305305305305305305304305305304304304304304303303304304304303303302301301301301300300300299299299299299299299299298298297296296296295295294294294294295295296296296296296295295294294294295294294294294294294293292292294294293292292292291291291291291290291290290290290290290291291291291292292291291292292292292292291292292292291292292292291291290291290290290290290290290290290290290290290291290290290291291292292291290290289289288288288289289289289288288288288288287287287286286286286286286285285285285284285285284285285284284283283283282282282283283281281282282281281281281281281281281282281281280281281280280281281280281280281281281280281281280280281281282283283284285286286285286287286285284284284284284284284284284284284284285285286286286286286287287286287286287287287287287287287287287288288288288287288288288287287286286286286286286286286286286287286287287287287288288288288289289289289289289289289289289289289289289289289290290289290290289289289289288288288288288288288288288288287287287288287287287288287287287287287287288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286285285285285284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309306307308309310308309311312313999999999999306999999999999999999999999999999999999999999999999999999999308305306306306306307307306306305301302302301302303302306305305307307307310310309310311311311309309310310310310310311311310310310310310311311311311312312313313313313313313314314314314314314314314314314314314314313312312312312311312312312312312312312311311311310309309308307306305305304304304303304304303303302303303302303303304304304304304304304305304304304304303303303302303302302302303303303304304303303302302302302301301301302302302303302302302302302302302301301302302301302302302303303302302304304303303304304304304303304304304303304303303304304304305305305305305306307308307307307308308310310310310310311311311312311312313313312312312312312312312312312312312312312312312312311311311310310310310310310310310310310310310309309308308307307307306306306306306306306306306306306305305304305305305304304304304304304304304304304304304304303303302302301301301301300300299299299299299299299299298297297296296295295295295294294294295296296296296296296295295295295295295294295294293294294293292293293294293292292291291291291291291291291290290290290290291291291291292292292292292292292292292292292292292292292292292292292291291291290290290290290290290290290290290290290290290290290290291292292291290290289289288288288288289289289289289288288287287287287287286286285286285285285286285285285285284284284283283283282282283282283282282282282282282281281282282282281281281280281281281281281281281280281281281281281281281281282282282281281282282283283284284285285286286286286285284284284284284283284284283284284284285285286286286286286286287287287287287287287287287287286287288287288288287287287287287287287286286286286286286286286286286287287287287288288288288288289289289289289289288289289288289288289289289289289289290290290290289289289288288288288288288288288288288288288288287288287287287287287287287287287288288288288287287287287287287287287287287287287287287287286287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286285285285285285285285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308311306306306306308307306308309310309999999308306305306305302999999999999999999999999999999999307307306310309308307307307309308307307306307306307305304303304305305305305306307310309311311311310311310309310310310310310311311310310309310310310310311311311311312311311313312312312313314314313314314314314314314314314314314314313312312312311311312312312311311311312311311310309309308307306305305305305304304304304303303303302303303304304303303303303303303304303304304304303303303302302302302302302302302303303303304304304303302302301301302302302302301302302302302301301302301301301303302302302302303303303303304304304303304304304305305305305304304304304304304304303305305306306305304306306307307308308308309309310310311311311312312312312312312312312312311312312312311312312312312312312312312312311311311310310310310309309309309309309309309309308308307307307307307306306306306306305306306306306305305305305305305305304304304304304303304304304304304304303303302302302301301300300300299299299299299299298298298297296296296296295295295295294295296296297297297296296295296296295295295295294294294293293293293293293294294293293292292291291290291290290290290291291290290291291292292292292291292292292292292292292292292292292292292292292291291291291291291291291291291290290290290290290290291290290290291291292291291290289289288288288288289289289288288288288288287287287286286286286285285285285284285285285284284283283283283284283282282284283283282282282282283282283282281282282282281281281282281281281281280280281281281281281281281281282282282282282283283283283283284285285285285286286285285284283283284284284284284284284284285285285285285286286286287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286287287287288288288288288288288288289289289288288288289289289289289289289289289289290289289289289289289288288288288288288288288288288288288288287287287287287287287287287287287287287287288287288287288287287287287287287287287287287287286287287287287287287287287287287287287287287287287287287287287287287287287288288287287287288288287287287287287287287287287286286286286286286286286286286286285285285285284285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308307306305306307307307307308308306308308308307307305304306305302302999999999999999999999999304307304304306307309308308307307308307308308307307308306306306305305305306307306306308307310309310310310310310310309310310311311311311311310310309310310311311311311311311311311312312312312312312313313313313313313313313313313313313313313313313312311311310311311311311311311311311310310309308308307306305305305305304304304304303302303302303303303304304304303303303303303303303303303302303303302301302302302302302302302302303304304304303303303302302303302302301302301302301301301301302303302302303302302303303303304303303304305304304305305304305305305305305304304304304304304304304304305305305305305307307308309309310310310310310311311311312312313312312312312312312311311311312312312312312312312312312312311312311311311311310310309309309309309309309309308308307307307306307306306306306306306305306306306305305305305305305305305305305304304303303304305305304304304303303303302302301301300300300299299299299299299298298297297296296296296296295295295295295296297297297297297295295296296296296296295294294294293293293292293293293293294293292292292291291291291290290291291291291291292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291290290290290290290290290290290290291290291292291291289289289288288288288288289288288288288288287287286286287286286285284284285284283284284284283282282283283283283283283283283283283282284283283283283283282282282283281281282282281281280281281281281281281281281281281282282282281282283283283283284284284284284285284285285285284284284284283283284284284284284284284285285285286286286286286287287287287287287287287287287287287287287287287287287286287287286286286286286286286287286286287287288288288288288288288288289289289289288288288288289289289289289289289289289290290289289289289289288288288288288288288289288288288288288288288288287287287287287287287287287287287288288288287287288288287287287287287287287287287287286287287287287287287287287287287287287287287287287287287287287287287287287287288288288287288287287287287287287287287287287287286286286286286286286286286286285285285285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308307307308305304305306306307307307308309307308307308305307307305303999999999999999999999999306304306304305305305308307307306306306307307307307308308307306307306306305307307307309310311311309310309309310311311310311311311312312312310310310310310311311312311310311311312312312312312312312313312313312312312313313313313313313313313312312312311311311311311311311311311311311310310310309308307307306305305305304303303303303303302302302302303303304303303303303303303302302302302302302302302302301302301301301301302301302303302303303303303303303303303302301301302302302301301302302303302303303303303303304304304304304305305304304305305305304306307306305304304304305304304304304305304305305304306305307308308309309310310310311311311311311311312312312312312312311312312312312311311312312311311311311311311312311311310311310310310310309309309308308309308308307307307306306306305306306306306306305305305306305305306305305305306305305304304304303304304304304304304304303303303302302301301300300300300299299299299298298298297296296296296296296296296295296296297297297297297297296296296297296296296295295294294293293293293293293293293293293293293292292292291291291291291291291292291292293293292292292292292292292292292292292292292292292292291292292292292292292292292292291291291291291290290290290290290290290290290291291292292291290289289289288288289288288289289289288288287287286286287286285285284284284285284284284284284283284285284284283284284283283284284283284284283284284283282282283283282283282281281281281281281282281280280282281281281281282282283283283283284283284283284285285284284284285285284284283283283284283284284284284285285285285285286286286286287286287288287287287287287287287287287287287287286287286286287287286286286286286286287287286286287287288288288288289288289289289289289289289288288288288289289289289289289289289289289289289289289288288288288288288289289289289289289288288288289288288287287287287287287287287287287287287287288287287288287287287287287287287287287287287287287287287287287287287287287287287286286286287287287287287287287287287287288288288288288288288288288288288287287287287287286286286286286286286286286286285285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308306305306305305305305306305306306307308307308307303308307304999999999999999999999303999305305307305305304306304305305305304306307308307305308307307307307307307307308308308309310311311309308309309310310311311312311311311311311311311311311311312312312311311311311311311312312312312312313312313312312312313313313313313313313312312311311311311311312311311311311312311311310310309309308308307306306305305304303303303302302302302302301303302302303303303303303302302302301302302301302302301302302301301301301301302302301302303303303302303303303303302302302302302302301303302303303303303303303303302302302302303305305306305305305306306304305306306306306305304305305304304305304305304304304305306307307308309309309310310310310311311311311312312311312312311312312312312311312311312312311311311311311311311311310310310310310310309309309309309308308307307307307307306306305305306306306306306306306306306306306306306306306306305305305304305305304304304304304304304303303303302302301301300300300300300299299298297297297297297296296297296296296296296296297297297298297298297296296296297297296296295295294293294293293293293293292293293293293294294293292292292292292292292292292292292292293293293293293292292292292293292292292292292292292292292292292292292292292292292292291291291291291290290290290290291291290290291291292292291290289289289288288288288288288288288288288288288287287287286285285285284285285284284284285283283285285285284284284284283283285283283284283284283283283284283285283283283283282282281281281281280280281280281281281281281282282283283283284284283283284284284285285284285285285285284284284283284283284284284284284285285285286286286286286286286286287287287287287287288287287287287287287286286286287287287287287286286286287286287286286287288288288288289288288288288289289289289289289289288288289288289289288289289289289289289289289288288288288288289289289289289289289289289289289289289288288288287287287287287287287287287288288287288287288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288287288288288288288288288288288288288288288288288287287287287287286286286286286286286286286286285285285285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309309308307304305306307307307307308307307307306306306307308307307305999999999999999999999999305303304306306305306307305305305304305307307307308307308307307307308307307308306308307309310309309309310309309310311311312312312311310310310310311312311311311311312311311311311311312312312312312312313313312312312312312312312312313314313313313313312311311311312312311311311312311311310310309308308307306305305305305304304303303303302302301300301302302302302303303303302302301301301302302301302301301301302301301301301301301301302303303302303302301302302302302302302302302302302302302303303303303303303302303303304304304305306305305305305306306305305305305306305305305305305304304305305305305305305306307307307308309309310310310310309311311311310312312311311312311312312311312311311311312312311311311310310310310309309309309310310310310309310309309308307307307307306306305305305305305306306306306306306306306306306306306306305305306305305304304304303304304304304304303303303302302301301301300300301300299299297297297297297297296296297297297297297296297297297297297298297297297296297297297297297297296296294294293293293293293293293293292293294293293293293293293293293293292293293292293293293293293293292292292292292293292292292292292292292292292292292292292293292292292292291291291291291291291291290290291291291291290291291292291290290289288288287288288288288287287288288288287286286287286285285285284284283284284284284284285285286285285284284284284284284284283283284283283283284284284285283284284284283283282282282282282282282283283281281282282282283283284284284284284284284284285286286285285284284285285285284284284284284284284284285285285285286286286286286286286286286287287287288288288287287287287287286286286286286286286286287287286286286287287287287287288288288289289288288288288289289289289289288288289288288288288288289288289289289289289289288288287288288289288288288289289289289289289289289289289288288288288287287287287287288287288288287288288288288288288287287288287287287287287287287287287287287287287287287287287287287287287287288288288287288288288288288288288288288288288288288288288288287287287286286286286286286286285285285285285285285285285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311999311313311309306307307308307307308308308308309309309308306306309309308308307999999999999999305308307304304304304305305307306304304304304306308309308306306307307306306308309306306307307308310309309310310310309309310312312312312312311311309310311311311311311311311312311311311312312312312313313313313312313312311312313312313312313313313313313313313312311311311311311311311311311311310310309309309308307306306305305304304303302302302302301301300300301302302302302302302302301301301301300301301300301300301301301302302301301301301301302302302302302301302302302302302301302302302302302303303302303303302303303303303303303304304304305305306306306306306305305306306305305305305305305305305306305305304305306306307307308309309308308309310310310310311311311312311311311312312312311312311311311311312312311311310310309309309309309309310310310310310310309309307307307306306305305305305305305305305306306306306306306307307306306306306305306305305305304305305304304304304304304303303303302302301301301300299298298298297296297296297297297297297297297297297297297297297297298297297297297296297297298297297297297296295294294294293293293293293293293293293293293293293293293293293292293292293293293293293293293293293292293293293293293292292292292293293292292293293293292292292293292292292292291291291291291291291290290291291291291291291291292292291289289289289288288288288288287287288288288287286286286285285285285284284284284284285287286285285286285284285284284285284284284284283283283284283284284284283284284284284283283282282283283283283283284282282282282282282283283284284284284284284284284285286286284285284284284284285285285284284283284284284285285285286286286286285285285286286286287287287288288288287287287287287286286286286286286286286286286287286286287287287287288288288289289289289289289289289289289289289288289288288288289289289289289289289289289289288288288288288289289289289289289289289290290290289289289289289288288288288287287287287288287287287288287288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288288287288288288288288288288288288288288287287287287286286286286285285285285285285285285285285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306306309311312309308308308308308308308307308309307309310309308309309310309309309309999999999999999306308309306306307306306304305305304304304305307308308307307307309308307307308307307308308307308309310311310310309309310311312312312312312312311310310309310311312311312312312312312312312312312312313313313312312312312312312312313313313313313313314313313313312311311311310311311311310310310310309309309308307307306306305305305304304303302302301301300300300301301302302301302303302301300300300300301301300300301302302302302301301302301301302302302303301301302302302301302302301302302302302303304303303303302302303303303303302303304304304304305305305306306306306306305305306305306306305305305305306305305305305305306307307307309309309308308309310310311311311311311311311311311311311311311311311311311311311311310310310309308309309309309309309310309310310309308308307307306306305305305305305305305305305306306306307307307307307306306306305306305305305304304304304304304304304303302302302302302301301300299298298298298297297297297297297297297297297297297297298298298297298298298297297297297298298298297297297297297295294294294293293293293293293294294293293293293293293293293293293293293293292293293293293293293292292292293292293293293293293293293294293293293293294293293293293293293293293292292292292291291291291291291291291291291290291292292291289289289288288288288287287287287287288288287287286286285285285284284284285284285287287287285286285284284284284284284285283283284283284284284283284284284283283284284283284283283283283283283284283283282282282283282282282284284284284284284285285285285285285285285284283283284284285285284284283284283284284285285285285285285285286286286286286287288288288288288288287287287287286286286286286286286286286286287287287287288288288289288289289289289288289289289289289289289289289289289288289289289289289289289289289289289288288288288288289289289289289289289290289289289289289289288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286287287287287287287288288288288288287287288288288288288288287288288288287287287287286286286286285285285285285285285285285285284285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307303305305310312310309309310310310308309308308308308310308308309309309309307309309309308308999999999999999999312310308307307306304304305305304306307307307308308309306310308308309308308305307307308309310309310310311311310310312313312312312312311311311311312312312312312312312313312313312313313313312312315312312312312312313313312312313313313313313314313313313313312311311311311311311310310310309309309308307307307306306305305305304303303302301301301300300299300301301301301301301300300299299299300301300300302301301301302302300301301301302302302301301301301301301302302302302302302302302303303303302302301301301302302302302302303303304305305304305305305305306306306306306306306306305305305305305305305305306305306306306307307308309309309309310310310311312311311311311311311311311311311311311311310310310311310311310310309309309308309309309309310309309309309308308306306306306306306305305305305305305305306306306307307307307307307306306306305305305305304304304303303304304304302302302302302301300299299299298299298298298298298297297297298297297297298297297297298298298298298298299299297297297298298298298298297297295294294294294293293293293293293293294294293294294294293293294294293293293293293293293293293293292292292292293293294293294294294294294294294294294294294294294294294294294294293293293293292292291291291291291291291291290291292292291289289289288288288288288288288287287287287287286286286286286285285284284284285285287288288285285285285284284285284284284284283283283284284285284284284284283284284284283283283284283283283284284284283283283283283283282283284284284284284285285286287285285285284285284284283284285285285285285284284284284285284284285285285286286286286286286287287288288288288288288287287287287287287287286286286286286286287286287287288288289289289289289289289289289289289289289289289289289289289289288288288288288289289288288289288288288288288288288288288288288289289289289289289289289289288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287288288288288287287287287287287287287287287287287287287287287287286286286285285285285285285285285285285284284284285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307309311308309311310309309309309309309309309309310309309309308310309309310310308308310308310999999999999999312312311308308306304305304304305303305306306305308309309308309310309307309309307306307308310309310309310311311311310312312311311311311312311311311311311312312312313313313313314313313313312311313314312311311310312312313313313313312313313314314314314313313312311312311311311311310310310309309308308308308307307306305305305304304303302301301302301299299300301301301302302301301301300300301300301302302302300301301301300299301301301302302300300300301301301302303302302302302302303302303303303302302301301302301301302303303304305305305305306305305306305306306306306305306306306305305304305305305305305306305306305306307308309309309309310310310310311311311311311311312311311311311311311311311311310311311310310309310309309309309309309309310309309309308309308307307306306306306306306305305305305305305305306306306307307307307307307306306305305305304304304304303303303303303302302302301300300299299299299299299299299299299298298298298297297297298298298298298298298298298298298299298297298298299298298297298297296295294294295294293293293293293293293293294294293293294294294295295294294294294294293294293293293293293293293294294294294294295295295294294295295295295295295295295295295294294294294294293293293292292292292291292292292291291292291291290289289289288288288288288287286286287287286286286286285285285285284285284285285286287287286285285285285284285284284284284283283284284285285285285285284284284285285284283283284283283284284284284284284284284284284283284285284286284285285286286285285285285285286285284284283284285285285285285284285285285285286286286286286286285286286287287287288288288288288288288287287287287287286286287287287286287287287287287288289289289289289289289289288289289289289289289289289288289289288289289288288288288288288288288288287287288288288288288288288288288289289289289289289289288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287286287287287287287287287287287287287287287287287287287288288288288287287287287287287287287287287287287287287287287287286286286285285285285285285285284284284284284284284285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308310312312310310311310309309309309309309309309309310310308309309310310309309308309308309310309999999999999999999999310307307304305305304304304304305306307307308308310309310309309309310308307307308309309309309310310311312311311312312311311311312312312312312313313313313312313313313313312313312312311311310311311311311311311312313312313312312313312312313314313312312313312312310311311310310310310310309308308308308307307306305305304304304303302301301301300300299300301301302301301301301301301302301302301301301301301301302302301300301302302302303299299300302302303302302303303304304303302302302303302302301301302301301301303303304304305306306307307306306306306306306306306306306307305306305305306306305306305306305306307307308308309310309310310310310310311311311311311311312312311311311311311311311311311310310310310309309309309309309309309309309308308309308308307308307307306306306306306306306305306306306306306306306306307307307307307306306305305304304304303303303303303302302302302301300299300299300300300300299300299300299298298297298298298297297298298298299299299299298298298298298297298299299299298298298297296296295295294294293293293292293293293293293293294293294294294295295295295295295294294294294294294294294294294295295295295295295295295295295295295296296296296296296296296295296296295295295294294294293292292292292292292291292292292291290290289289288288289288288288287287287285286286286286286285286284284285286285286287288287286286286285285285285284284284283284284284285285285285284285285285285285284285283283283283284283284284284284284283284283284284284284285285285284285285285285285285285286286285284284284284285285285285284284285285285285285285286286286286286287287287287288288288288288288288287287288287287287286287287287287287286287287287288289289289289289289289289289288289289289289289289289288288288289289288289288288288288288288288288288287287288288288288288288288288288288289289289289289289289288288287288288288287287287287287287287287287287287287287287287287287287287287287287286286287287287287287287287287287287287287287287287287287288288288287287287287287287287287287287287287287287287287287287287287286285285285285285285284284284284284284284284284285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312313313311311310310308308309310309308308308310309310310309309309309310310309309309310310311311312314999999999999999310308306304302305304305305303305306307307308309310309309310308309309310307307307309307309309310311312311311311312312311312311312312312313313312312312313313312313313312312312311311310311311311310310310310311312311312311312312313312313312313313313313313312311310311310310309309309309309308308307307307306305305304304303303303302302301300300299297300301302301302301301300301302301301300302301301301302302302301302302301302301303303303303301302302301301301303304304304304303302302300301300300300302302302302303302304304305305306307306305306306306306306306306306307306306306305306306305305306306306306307307307308309310310310309309309310311310311311311311311312312311311311311310310311311311311311310310310309310309309309308309309309308309309308308307307306306306306306306306306306306306307307307307307307307307307307307307306305305305305305304303303303303303302302301301300300300300300300301300300300300300300299299298298298299299299298298299299299299300300299299299298297298299299300299299298298297297296295295295294294293293293293294294293293294293293294294294295295295296295295295295295295294294294295295295295295295295295296296296296296296296296296296297297296296296296296296296296296295295294295294294293293293292292292292292291291290289289288288288288288288287286287286285286286285285285285285284285286286287287288287286286286286285286285285284284285284285285286286286286285285285284285285285283283283283283283282282283284284284283284284284284284284284284286285285285285285285285285286286286285285284284284284285284285285285285285285285285286286287286286287288287288287287287287287287288287288288287287287287287287287287287287288288288289289289289289289289289288289289289289289289289289289289289289289289289289288288288288288288288288287287288288288288288288288288288288288288288289289289289289288288288288288288287287287287287287287287287287287287287287287287287287287287287287286286287287287287286287287287287287287287287287287287287288288288287287287287287287287287287287287287287287287287287287287287286286285285285285285284284284284283284284284284285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313313313311312310309310309310310309309309308309309311310310310309310309309310310311311311311311312999999999999999310310309307304304304305306305305305308309307310310310309309308308308309308308309309309309308309310311312311310311311312312312311312313312314314313312313313313313312312312311311311311311311311311310310310310311312312311311312312312312313312312312314313313312313313311310309309309309309308308307307307306305305305304303303303302302302301300299297298300301301302301301301300302302301301300301302301302303302302302302303302302302302302302304302301301300302303303303302304302301302301301301302300300302301302302301302302303304306305306306306305306306306306307305306306306306306306306306305305306306305306307307308308309309309310309309310310311310310310311311311311311311311311311310310310310310311310310310310310310309309309308309308308308308308307307307306306306306306306306306306306306306307307307307307307306307307307307306306305304304305304304303302303303303301301301301301301301301300301301301301300300300299299299299299299299299299299299299300300300299300299299299298298298299300299299298298298297297296295295294294293293293293293294294294294293293293294295295295295295295295295295295295295295294294294294295295295295295295296296296296296296296296296296297297296296296296297297297297297296296296295295295294293293293292292291291291292290289289288289288288288287287286286286286285285285286286285285285285286287287288288287286286286286285285285284284285286285286286285287286286285285285284285285285284283283283284283282282283284284285284284284284284284284285285285285285285284286285286286285285286285284284284285284285285285285285285286285285285286286286286287287287287287287288288287287287288288288289288288289289289289288288288288288288289289289289289289289289289289289289289289289289289289289290290290289290289289289288288288288288288288287287287288288288288288288288288288288289288289289289289289288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287286287286287287287287287287287287287287287287288288288288288288287288287287287287287287287287287287287287287287287287287286285285285285285285284284284283283284284284284285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313313313312311311310310309310309310310310311311310311311312311312310310311311311310311311312312313313312312999309311310310310308304303305307305305305308309309309310309309309309309310309310310309308309309309311310310312312313311311312312312313313313314313313313313313313313313312311310311310311311311311311310311311311310310312313312312312312312312312313312312313313313313313313313311310310309309309309308308307307306306305305304303303303302303302302302301300300300301301301302301301301301302301301301300301302302302302303303302302303302302303302302302303303301299301302302302303302304302300301300300301301301301301302300301301302302303303306305305304304304304304306306306305306306306306306306306305305305306305305306306307307307308308309309309309310310309311310311310310311311311311311311310311310310311311310310310310310309309309309309309308308308308307307306306306306306306306305306306306306306306307307306306306306307307307307307306305305304304304304303303303302302302302301301301301301301302301301301301301300300300300299300299299299299299299300299299299299299299299300300299299298298299299300299299298298298297296296295295294294294293293293294293294294294294294294294294295295295295295295295295296295295295295295294294294294295295295296296296297297296296296296296297297297296297297297297297297297297297296296296295295295294294293293293292291291291290289289289289288288287287287286285286286285284285285285286285285285286287288288288288287287286286286285284284285285286286285285285286286286286285285285284285286285285284283284282283283284284285286285285285284284284285285286285285285285285286286285285285285284286285285284284284285285285285285286286285286285285286286286287287286286286287287288288288288289289289289289290290290290289289289289289289288289289289288289289288288288288288288289289289289289289290290290290290290290290289289288288288288288287287287288288288288288288288288288288288288288289289289288289289289288288288288288288287287287287287287287287287287287286286287287287287287287287287287286286286287286287287287287287287287287287288288288288288288288288287287287287287287287287287287287287287287287287287287286286286285285285285284284284284284284284284284284285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313314312313312310311312312311311311309309310311310310311311310311311310310311310311311310311312313313314314311312311310311312311309306305304305305305305307308310309309310310309309309309309310310310310309312309309311310311311311312311311313312313313314314313312313313313313313313312312311311310310312312312311311311310310311311310312312313313312313311311312313313314314314313313313312312312311310310309308308308308307307306305306305304303303303302302302302302302301301301301302302301301301301301301301302301301302302302302302303302301302303303303302303302304303304302302302302301302303303302303300301300300300301302302302303303300302302302303302303303305305305305305305305306305306305305306306306306306305305306306306306306306307307307307308308309309310309309309309310310310310311311311310311310310310310310311311311310311310310309308309309309308308308307307307307306306305305305305306305305305306306306306306307306306306306307307307306305305305304304304304303303303302302302302302302301301301301301302301301301301300300300300299300299299299299299299299299299299299299299299301300300299298298299299300299299299298298297297296295295295294294294294293294294294294294294294294294295295295295296295295295296296296295296295296295295295295295295295296296296297297297297296296296296296297297296297297296297296297297297297296296296296295295295294293293292292291291291291291289289288288288287287286286285286284285285285284285285286286286286287288288288288288288287286286285285285286286286285286286285286287286286285286285285286286286284283284284283283284285285285286285285285285285285285286287286285285285285285285285285285285285285285284284284285285285286285285286286286286286286286286286286286287287287288288289290289289290290291290290291291290290290290290289289289289289289289288289289289288289289288288288289289289289289289290290290290290290290290289288288288288288287287288288288288288288288288288288288288288289289289289289289289289289289288288288288288287287287287287287287287287287287287287287287287287287287287287286287287287287287287287287287287288288288288289289289288288288288288287287287287287286286286286286287287287287287287286286286286285285285284284284283283284284284284284284285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313312314313312311311312312312312312311310311311311311311311311310311312310311311310310310310311312312314313313312311310309311312311999305304303304304304306308308310309309309310309310309309309310310309309309309309310311310311312311311311312313313313314314314314313314314314314313311312312311311310311311312312311311311311311311310311312312313313313313312312313313313314314314313313313313312312311311310310309308308307307306306306305305303303303302302301302302302302302302302302302302302302301302300301301302301302303302302303303302302302302302304302302301302304303302301303302302302302303303302301299300299301299299301301300301301302301302302302302303304304304304305305305304305305305306305305306306306305305305305305305306306306307308307307307308309310310310310309309310310311311311311311310311311311310311310311311310311310310309309309309309308307308308307307306306306306306305305305305305305305306306306306307307307306307307307307306306305305305304304303303303302302302302302302302302302302302302302302301301301301300300300300300300300299299299300299300299300300300299299300300300300299299299299299300299299298298298298297296295295295294294294294294294294294294294294294295295296296296296296296296296296296297297296296296296296296296295295295296296297297297297296296296296296297297297297297297297297297297297297297296296296296295295295294293293293292292291290290291289288289288287287287286286285285284285285285286285285286286287286287288288288287288288287287287286287286286286286286286287286286287286286286286286285286285285285284284286285284286285285285286286286286285285285287287286286285285285285285285284285285285285285285285285285285285285286286286286286286286286286286286286287287287288288289288289289289290290292292291291291291290291290290290290290289289289289289288289289289289289289289288288288289289289289289290290290290291290290290290289288288288288288288288288288288288288288288288288288288288289289289289289289289289290289289289288288288288288287287287287287287287287287287287286287287287287287287286286286286286287287287287287287287287287288288288288288288288288287287287287287287286286286286286286286286286287287287287286286286285285285284284284284284284284284284284284285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311314312312313312311311311312312312311312311310312311311312311311311310310312309310311309310309308309311313999999999311999999999999999999999999999301303303304307309310309310310309310311309309310310310309309310310310310310311311310311311312311312313312313313314313313314314313314314313312312312311311311311312311311311310310312312311311311312312313312313313313313313313313313314314313313313312312312312311311310309309308307306306306306305304303303303302301301302302301302302302302302302302302303302302301301301302302302302302303303303304302302304303304303302303303303302302302302302303303302303303304300299299301299300301301301301300302302300302302302303303304304305304304305304305305305305306306306305306305305305305305305305306306306306306306307306308308309309309310310310310310309310311311311310310311310310310311311311311311310309309309309308308307307307307306306306306306306306305306305305305305306306306306306307306307307307307307307306305305305305305304303303303302302302302302302302302302302302302302301301301301300300300299300300300300300300300300300300300300300300300300300300300299299299299299299299300299299299299298297296296295295295294295294294295295295295294294295295295296295296296296297296297296297297297297297297296296296296296295295296296297297297296297297296296296296297297297297297297297297297298297297297297296296296295295294294294293293292291290291290289288288287287287286286286286286285285284284286286286286286287286286287288288287288287289289288286287286286286286286286286286286287286286286286285285286286285285284285285285285285285285285286286286286285285286287287286286286285285285285285285285285285285285285286285285285286286286287286287286285286286286287287288288287287288288289289289289290290290291291291291291291290290290290289290289289289289289289289289289289289289289289289289289289289289289289290290290291291290291291290289289288288288288288288288288288288288288288288288288288288289289289289289289289289289290289289288288288288288287287287287287287287287287287286287287287286286286286286286286286286286286286287287287287287287288288288288288288288288288287287287287287286286286286286286286286286287287287287286286286285285285284284284284284284284284284284284285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999315314314311311312312311311311313312312314313312313313311312312311310310310309309309310310309308307999999314999999999999999999999999999999999999999999999300303304307310310310310310309310310309309310310310310310311310310310310311311310310310310312313313313313314315314314314314315314314313312312311312312312311311311311310310311312311311311311312313314314313313313313313313314314314314313313313312312312312312311310310309309308307306306305305304303303303302301301303302302302302302302302302302302301302302302302302302302303303302303303304304303304305304304303303304303302303302303303303304302302302303302301301302301299299300300301302300302303300302302302303303303303304304305304304304304305305305306306306305305305305305305305305306306305306305307307306308309309309310310310310310310310310311310310310310310310311311310311310311311310309309309308308308307307308307307306306306306305306306306305305306305306306306306306306306306306306306307306306306305305304304304303302302302303302302302302302302302302302301301301300300300300300300300300300300300300300300300300300300300300300300300300301300299300299300300300300300299299299299298297296296296295295296295295295295295295296295295295295295296296295296296297297297297297297297298297297297297297296297296296296296297297297297297297297297296296297297297297298298297298297298297298298297297297296296295295294293294293293292292291289289289289288287287287286287286286286285285285286286287286286287286287287288288288288289289288287286287286286285286287287288287287288287286286286286286286286285285285285285285285286285286286286286287287286286286287287286286286286286285285284286286285285285285286285285285286286286287287287286287286287287287287288287288288288288288289289289290290290290291291292291291291290290290290289290290289289289289288289289289289289289289289289289289289289289289289290290290290290290290290289289289288288288288288288288288288288288288288288288288288288288288288289289289289289289289289289289288288288288288287287287287287287287287287287286287287286286286286287286286286286286286286287287287287288288288289289289288288288288287287287287287286286286286286286286286286286286287287287286286286285285285285284284284284284284284284284284285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999314314313312313312312312311311312312313313313314313313311312311311311311309309310310310308309309309999999999999999999999999999999999999999999999999999999300302306309311310310310309309310310309310310310310310310310310310310310310310311311311312312313314314314313313314313314314314313314312311312312311310311311310310311311312311312311311312312312313314313314314313313314313314314314314313313313312312312312312311311310309309308307307306306305304304304303302302301302302302302302302303303303303303302301302303303303303303304303303304304305304305305304304304304304304303302304304304303303303303300303303303303303302300300300301301303302302303303302302302302303304303303302305304304305304305305305303305306305305305305305306305305305306306306306306305307307307308308309310309310310310310310311311311310310310310311311311311311310310310310310309308309309308307308308307307307306306305305306306306306305306305306305305306306306306305306306306306305305305305304304304303303302302303303302303302302302302302301301301301301301301300300300300300300300301301300300301300300300300300300300300300300300300300299299300300300300300300299299299298297296296296295296296295295295295295296296296296295295295296296296295295297297297297297297297298298297297297297297297296296296296297297297297297297297297297297297297297298298297298297298298298298297298297296296297296296294294294293293291291290289290289289288287287287286287286287286285285286287286287287288287286286288288288288289288289288287287286286286286286287287288287288288288287287287286287286286286286286285285286286285286286286287287287287287286286286286286286286286286286286285286286285286286285285285285286287286287287286286287287287286287287288288288288288287288289289290290291290291290291292291291291290290290290290289289289289289289289288289289289289289289289289289289289289289289289289289289289289289289290289289288288288288288288289288288288288288288288288288288288288288288288289289289289289289289289289289289289288288288288287287287287286286287287287287287287286286287286287287287286286286286287286287287287287288288288289289289288288288287287287287287287287286286286286286286286286286286286287286286286286285286285285284284284284284284284284284285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999314314313312312312313313313312312313312313313313313313312312312311311312311310310311310310310310309311999999999999999999999999999999999999999999999999999999301304307309310310310310309309310310309309309310310311310310310310310310310310311313312312313313314314314313313312313313312313313314313312312312312310310310311311312312311312312311311311312312313313313312314314314314314313313313313312312312312312312312311311310310310309308307307306306305304304303303302302302301301302302302302302304304304304304304303305304303303304304304304305305304305305305305305306305304303303304305305305303302303304303304304304303303300301301301301301303303302302302301301301301302303303303303303304304304304305305305305305305305305305305306305305305305306306306306306306307307307308309309310310310310311310310311311311310311311311311311311311311310310310310309309309308308308308308308307307306306306306305305305306306306305306305305305306306306305305306306305305305304304304304303303303303303303303303303302303302302301302302301301301301301301300301300301300300300301301301300300300300300301300301300301300300300300300300301300300301301301299299299299298297296296296296296296296295295296295296296296296296295295296296296295296297297297297298298298298298298298298298298298297297297296297297297297297297297297297297297297298298298298298298298298298298298298298297297297297296295296295294293292292291291291290289289288288287287287287287286286286286287287287288288287288287287288289288289289289288287288287287286286285287288288288289288289288287288287287287287286286286286287287287286286286286287287287287287287286286286286286286286286286286286286285286286286286285286286286286286286286288288287286287286287287287287288288288288288288289289290290291291291291291290290290290290290289289289289289289289289289289289289290290289289289289289289289289288289289289289289289289290290290289289289288288288288288288288288288288288288288288288288288288288288288289289289289289289290289290289290290289289289288289288288288288287287287287287287287287287287287287286287286286286286287287287287287288288288289289289289289288288288288287287287287287286286286286286286286286286286287286287286286286286286285285285285284284284284284284285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313313313312312313313312312312313313313313314314314314313313312310311311310312312312311310309310999999999999999999999999999999999999999999999999999999999301302306308309310310311310310309309308310310310310310310309310309310310310311311311313312311312313313314314313313312312312313314314314312312312311311311311311311312312312311312312312312311311312313314313313313313313313313313313313313312312312312312312312311311310310309308308307306306305304304303303303302302301300300302303304302301303305304304304305304305305305304304304304305305306305305306306306306305306305305304304304305304302303303303304304303302303303301300300300300301301301302301302301300300301301303303303303303303303304304305305305305305305305305306306306306305305305306306306307306307307308308308309309309310311311311311311312312312311311310311311311310310311310311310310309309309308308308308308308308307306306306306306306306306306306306306305305305306306306305305305304305304304304304304304303303303303303303303304303303303302302302302302301301301301301301300300300300301300301301301302301302300301301301300300300301301300300301301301301300301301301301300300299299298297297297297297297297296296295296296296296297296297297297297297297297295298298298299299298299299299298299298298298298298298297297297297297297297298297297298298298298298298298298298298298298299298298299298298298298297297296296296294294294293292291290289289289290289288288288287287287287287286287287287288288288288287287287288288289290289288288288286287287286287287288289287289289289288287287287286287287286286286286287288286286287287287287287287287287286286285286286286286287286286287286286285286286286286286286286287287286286286288288288286286286287287287287287287288287288288289290290290290291290290291290290290290290289289289289290289289289289289289289290290290290290289289289289289289289289288289289289289289289289290290289288289288288288288288288288288288288288288288288288288288288288289289289289289289289289290290290290290290290289289289289289289289288289288288288288288287287287287287287286286286286286286287287287288288288289289289289289289288288288288287287287287287287287286287286286286287286286287287287287286286286286286286285285285284284284284285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312311311311312312314313314314314314314314313314313312313312310309310310310311312308309310310999999999999999999999999999999999999999999999999999999999303304305307309310309309310310310310309309310310310310310310310309309310310310311311312313310311312312313313313312313312312312313313313312312311311311311311311311311311311312311311312312311311310311312312313312312312311312312312312312311311311311312312312312311311311310309308308307307306304303304303302302301302301300299302303304305303304304304305306305306305305305305304304305306306306306305306306307306306307306306305305305304304303304304304304303304304302301300301300300301299300301301301301302302302302302302303303302303303301303304304304304304304305305305305305306305306305305305306307307307308308307308308308309310309310310310310310311311311311311311310311310310310310310310309309307309308308307307308308308307307306307306306306306306305305305305305305305305306306305305305304304304304303304303303303303303303303302303303304303303302302302301301301301301301301301300300301300301301301301301301302301302301301301301301301301301301301300301301301301301301301301300300300299299298298297297297297297296296296296296296296297297297297297297297297297297297298298298299298299299299298298299298298298298298298297297297297297297298297298298297298297297297298298298298298298298298299299299298298298298297297296296296295295294293292292291290290289289289289288288288288287287287287287287287288287288288288287288288289288288289289288287287287286287287287287288289289290290289288288288288287287286286286288287287287287286288288288287287287287286285286286287286286287287286286286286287286286286286286286286287287287286287288288288287286287287287287287287287287287288288288289289290291291291291291290289290290290290289289289289289289289289290290290290290290290290290290290289289289289288288289288288289289289289289289288288288288288288288288288288288288288288288288288288288289289289289289289289289289290290290290290290290290290290289289289289290289289289289289290290289289288287287287287287286286286287287287287288288289289289289290290290289289288288288288287287287287287287287287286286286286286286286287286286286286286286286286285285285284284284284284285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312311309311312313313314315313314314314314314313312311312311310309308309309310309307308999999999999999999999999999999999999999999999999999999999999303305307308308309311309309309310310311310309310311311311310309310309310310310311311310312311311311311312312312312313312313312314313313313312313311310311311311310310311311311312312311312312311311310311312312311311312311312312312312312312312311311311311311312311310310310310309307307306306305304304305303302302302302300298999303304305305305305304305305306306307306305306306306304305306306307306306307307307308307306306306306305305305305305305305304305304304304303302300300300300301301301300301302301301302302302302302302302302302302302302303303304304305305305305305305305305305305306305306305306306307307307307308307308309309309309310310310310310310309309310310310310310310310310309309309309308308308308307307308308307306306306306306306306306306306305305305305305305305305305304305304304304304304303303303303303303303303302303302302303302301302302302301301301301301301301301300301301301301301301301301302302301301301301301301300301301301300301301301301301301301301301301300300300299299299298298297297297297297297297297297297297297297297297297297297298298297298298298298299299299299299299298299299299299298298298298298297297297298298298298297298298298298298298298298298297298298298299298299299298298298297297297296296296295295293293293292291290290289288289289289288288288288288288288287287288289289288288288288288289290289290289289288288288286287287288288289289290289289288288288288288288288288287287287287288288286287287288287287287287287284285286287286286286287287287286286287287286286286286286286286287287287286286288288288287287286287287287287287287287287288287287288289290291291291291291290290290290290289289289289289289290289290290291290290290290290290290290290290289289289288289289289289289289289289289289288288288288289288289288289289288288288289288289289288288289289289289289289290290290290290290290291291290291290290290290290290289290289289290290290290290290290289288288287287287287287287287287288288288289289289289290289289289288288288288287287287287287287286286286286286286286286286286286286286286286286286286286285285285285285285285285285285286286285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312309311312312315314314314313314313314314313312311311311311310307307309308308308306999999999999999999999999999999999999999999999999999999999999302303306307309310309310310309309310311310310310310311311310310310310310310309311311311311311311311311312312312313313314314313313313313313313313313312312311310310309310310311311312312312312312311311311311311311311312312312312312312312311311311311311311311311311310310310309309309307306306305304304304304304303303302301299298299301303304305305306305305306306306307307307307307306306306306307307306307307307307307307307307307307305305306306306305305306304305304303303301301302301299300300301299301301301301302302301302302302301301302302302302302303303304305305305305304304304304304305305304305306305306307306307308307307308309308309309308309310310311310310310309310310310310310310310309309308309308308308307308307307308308306306306306306305305306306306305305305306306305305305304305305304305304304304304303302303302303302302302302302303302301301302302302302302302302301302302301301301302302301302302302302302302301301301301301301301301301301301301301302301302301301301302301300300299299299298298299298298298298298298298298297298298298298298298298298298299298298299298299299300300299299299299299299299299299299298299299298298298297298298298298298297298298298298298298298298298298298298299299299299299297297297297297296296296295294294293293292292291291290289288288289288288288288288287288287288289289288288289288288288289289289290290289288288289287287287289289289290290289288288289288288289288288288287287287287287288287287287288287287287287286284286286286286286286286286287287287287287287286286285286286286286287288287286288287288287286286287287287287287287287288288287287288289289291291291292292291290290291290290289290289290290290290290290291291291291291291290290290290290290290290289289289289288289289289289288288288289288289289289289289289289289289289289289289289289289289289289289290290290290290290290291291291291291290291291290290290290289290289289290290290291290290290290290289288288287287287287287288288288288289289289289289290290289288288288288287287287287287287287286286286286286286286286286286286286286286286286286286286286285285285285285285285286286286285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310311310311312313314314314314314314314314313313312312312312311309310308309308307305306310999999999999999999999999999999999999999999999999999999999302304307307309308309309309310310311310310310310310310309310310310310310311311311311311311311311311311312312313313313313313313313312313312312313313312312311310310310310311311312312312312312313312312311312311311311312311312312312312312312311310311311311310310310310310309308309308307306306306304306305305304303303302300299300301302302302304305306306306306307307307307306306306306306306306307306308308308307307308308307307307307306306306305305306306304304304304303303302301302300301300301302301301300301301301301301302302301302301301301302301302302303303304304305304304304304304304305304304305305305306306306307307307308308309309309308308310310311311310310309309310310309309309309310308308307308308309307308307307307307307307306306306305305305306306306306305305305306305304305305305305304304304303303303302302302302302303302302302302302302302303303303302302302302302301302302301301302302302301302302302302302302301301301301301301301301301301301301302301302302301301301301300300299300299299299299298299298298299298298298298298298298298298298299299299299299299299299299299300300300300299299299299299299299299299299299299299299298298298298298298298298298298298299299298298298298298298298298299298298298298298298297297297296296295294294294294293291291291290290290290289289289289288288289289288287288290289289289290289289289288290290290288288288288288288288289289290289290290289289289289288289288288287287287287288288288287288289288287287287287286286285286287286286287286286286287287287287287287287287287287288288288288287287287287287287287286287287288287287287288288287287288289288289290291291292291290291291291290290289289290290290290290291291291291291291291290291291291290290290290290290289289289288288288289288288288288288288288288288288288288288288289289289289288288289289289289289289289289290290290290290290291291290291290291291290290290290290290290290290290291291291291291291290290290289289288288288288288289289289289289290290290290290289289288288288288288288287287287287287286286286286286286286286286286286286286286286286286286286286285285285285286286286286285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309312313311312312313313313314314314314314313313312312312312312311311311308308308307304306999999999999999999999999999999999999999999999999999999999301303306306307308308309309309310310309310310310310310310310310309311310310310310310309310310311311312311312311312312312311312312312312312312312312312312312311309309309310311312312312311311312312312312312311311311312312311311311312312312311311311311311311310310310310310310310310308307306306306306306305305304304303303301298300301302301302302303305307307307308308307307306307306307307307308307307308309308309308309309308309308308308307307305305306305305305304304303302303302302300300301301302300300301300301301300301302302302302301301301301302302302303303304305304304304304304304305304305304305305305305305305306306307308309309309308308308309310310311311310310309309310309309309309308308308308308308309308308308307307307307307306306305305305306306306306305305305305305305305305305305305304303303303303302302302303302302302302302302302302302302303303303303302303302302302302302302301302302302302303303302302302301301301301301301301301301301301301301302301302302301301301301300300300300300299299299299299299299299299299298298299299299299298299299299299299300300300300299299300300300300300299299299299299300299299299299299299299299298298298298298298299298299299299299299299299299298298299299298298298299299298298298297297296297296295295295295294292293292292292292291291290291290291289290289287289290291290290290290290289288288290290289289289288289289289289290290290290291291290290290289289289288288287288288288288288288289288287287288287288287287287287288287286286286287287287287287287288288287287288288288287288288288287287288287287287287287287287287287287287288288287287288288289289291291291292292291290290291290289290290290290290290290291291291291291291290290290290290290290290290290290290289289289289288288288288288288288288288288288288289289288288288289289289288288289289289289289290290290290290290290290290290290291291291291290291290290290290290290290290291291291291291291291291291290290290290289288288289289289288289289290289290290290289289288288288288288288287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309310311312310313312313314314314314313314313312312313312312311311311311310308308306305307311999999999999999999999999999999999999999999999999999999300304306305308308309308309308309310310310310311310310309310310310310310310310310310310310310311311311312312312311311312312312312311312311311311312312312312311310310310311310312311311311311312312312311310310310311311311312311311311312311311311311311310311311311311310310310309309307306306306306306305305305305305304303301299300300302302302302999306306306306307308308308308307307308307308308308308308308308309309309309308309308308309308307305306306305304303303303304304304303303300302302301301300301301302302301301300301302301302302302301301302302302303303304304304303304303303304305304304305305305306306305305306306307309310309310309309310310309311311311310310309310309308308309308309308307308307307308308308308308308308307307306306305305305306306305306305305305305305305305304305305305304304303303303302302303303303303302302302302303302303303304303303303302303303303302303302302302302302303303303303303302302301301301301301301301301301301301301301301301301302301301301300300299300300299300300300300300299299299299299299299299299299299299299299300300300301301300300300300300300300300300300300299300300300300300300299300300300300299298299299299299298299299299299300300300299299299299298298299299298299300299298298297297297298297296295296296295294294293291293293293292292292292293292291292291290290291292291290291291290290288289289289289289289289290289291290290290292291290289289289289288288288289288288288288287288288288288287287287287287287286287288288288287286287287287287288288288288288288288288288288288287288288288288287287286287286287287287287287287287287287287287287288288289290290291291292291290290290289290290290290290290290290290290290290290290290290290290290290290289290290290290290290289289289289289288288288288288288288288289288288288288288289289289288289289289289290290290290290290290290290290290290290290290291290291291291291291291291291290291291291291291292291291291291291291290290290289289289289289289289290289289290290290289289288288288288288288288287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308311309311312312313314314313313314314313312312313312311311311312311311311309307305305312999999999999999999999999999999999999999999999999999999301305305306306307308309309309309310309310311311310309310309310309309309309309310310310310310311311311312313312312312312313313313312311311312311311312311310311311310310311310311311311311311311312311311311311311310311311311312310311311311311310310310311311311312311311310309309307306306306306306305305305305306306305303302301303303302303302303306307308308308308309308309307308309308308308308308309308308308308309308308308308308308308309306306307307304304303303303303304305302301301301301302301299300300301301300300300299300301301301301301301302302301303304304304303303304303304304303304304305305306306306306305306307307308309309310310309309310310311310310310309309309309310309308308308308308307307306307308308307307308307307307306306306306305305305305305305305305305305305305305305305305304304304303302302302302303303303301301303302302303303303304302303303302303303303303302303303302302302302302302303303302302302301301301301301301301301301301301302302302302301301300300300300300300300300299300300300299299300299299300300300300300300300300300300300301301300300301300300300300300300300300300300300300300300300300300300300300300300299299299299299299299300300300299300300299300300298298299299299299300299300299299298298298298298297297296296296296295295293293293293294293294294294293293293293292291290291292291291291291291291289290290289289289288290290290290292291291292292290289289288288288288288289288288287288287288287288288287287287287287286286286287287287287286286286287287287288288288289289289289288288288288288288288288287287286286286287288287287287287287287287288288287287288289289290290291292291291290290291291290290289290290290290291290290290290289289290290289290290290290290290290290290290290290290289289289289289288288288289288288288288288289288288288288289289289289290290290290290290290291290290290290290291290291291291291291291291291291291291291291291292292292292292291291291291291291290290290290289290289289290290290290290290290290289289289288288288288288287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306311311312312313313313314313313314314313313313313312312311312311311310310310308305304310999999999999999999999999999999999999999999999999999301302303305307307307307307307309309309310310310309309309309310311309310309309309310310310311311311310311311312312312312312313312313311311310310310310310310310311312311310310311311311311310311311311311311311311310312311311311311312311311310310310310310310311311312311311310310309308307306306306306306306305306306305304305305304305305305305305304306306308309309309309309309309308309309308308308309308308309309309309308308309309309309309308308307307307307307305305304303305304302301302302302302301301300301300300301300300299299299301302301301301302301301302303303303302303303303304304303304303304304306306305306306307307307308308309309309309309310310311311309309309310309309309309308308308308308307307307307307307308307307307307306306306305305305305304304305305305304305305305304305305305305304303303302302302302302302303302302302302303303303302302303302302302302303302303302303302302301301301302302302302302302301301301301301301302302302302302302301302302301301300300301300300300300300300300299300299299299299299300299300300300300300300300300300300300300300300300301300300301300300300300300300300300300300300300300300300300300300299300299299299299299299299300299300300300299298300298298298298299300299299299298299298298298298298298297296296296295294294293293293294294294293293293294294293293292292291292291291292292291290290291290290290290290289291291291292291290290291291290289288288289288289288288288288288288288289288288287288288287287287287286286288288288286287287287287287288288289290290289289290289289289289289289288289289287287287286287288288287287287287287287287287287287288289290290290291291291291290291291290290290290290290290290291290289289290289289290289289290289290290290290289289290290290290290290290289289289289289289289288288288288288289289288288288289289289289289290290290290290291291291290290290290290290290291291291291291291291292291291291291292292292292292292291291291291291290290290290290290290290289289290290290290290290290289289289289288288288288287287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311311312312312312312312312313313313314313312312312311311311311311310309310308306306307999999999999999999999999999999999999999999999297298301302305305306307308306308308309309309309310309310310309310310310309309309308310310310310310311311311311311311311312312312312312311311311310310309310311311311311311311311311311310310311311311311311311311310311311311312311311311311310310310310310310310311311311311311311311309308309307306307306307307306305305305304305305304304306305307307307306306306307309309309310309309309310310309309308308309309309309309309309309309309309310309308308308307308308308307305305305305305304304305305304301301302301300300300299301300300300300300300300301301302302301302303303303303303303303303302303303304304304304304305305306307307307308307308308308309309310310310309308308310309309309309309308309308308308308307308308308307307308307306306307306306306305305305305305305304305306305304305305305305304304304304304304303302302303301302302302302303302303303303302302303302303303303302302302302302302302301301301302302301301301300301301301301301301301302302301302302301302302301301300301300301300300299300300300300299299299299299300300300300300300300300300300301301301300301301300300300300300301300300301300300300300300300300300300300300300300300300300300300299299299300299299299300300300300300299299299299299300299300299300299299298300298298298298297297297297296296296295295294295293293293295294294293294294294294293293293292291292291291291291292292291291291291290291292291292292290290291291291289288289289288288289288288289289288288288288288288288288287287287286287286286287288288288289288289289289289290290290290290290290290290289289290289289289288287287286286287288287287287287287287287288288288288289290291291291291292291290290291290291290290290290290290290289289289289289290290290290290289290290290290289289289290290290290290290290290290289289289289289288288289289289288288289289289289289289290290290290290290291291291290291290290290290290291291291291291291291291292292292292292292292292292291291291291291291290290290290290290290290290289289290290290290290290289289289288288288288288287287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309311311312310312311311312314313313313313313312312310311311312311309310310308308305305999999999999999999999999999999999999999999295296299301303304305304306306306306308308309309310309309309309309309309309310310310310310310310310310311311310310312312311312312312312312312311310310310310310310310310310311311311310311311311311311311311311311311311311311311311311310310310310310310310309310310310311310311311311311308308309307307307307307308307306305307999999999999304305304307308307307307306305307309311310309309310309309309309309309308309309309308309309308309309310309309309309308308308308307307306306306306305306305304303304302300301302300300300300300300299300300300299300300300302302301302303303303304303303303303302302302304304303304304304305306307307307307308308308308309310310309309309309308309309308309310309309309309309308309309308308308308308307307307306307306306306305306305305305305305305305305305306306305304305304304304304304304303303302303302302302302303303303303303302302302303303302302302302302303302302302301301301301301301301301301302301301302301301301302301301302302302301301302301301301301301300300300300300300300299299299300300300300300300300301300300300301301300301300301301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300299299300300301300301301300300299299299299299299300301299300300300300299299298298298298297297297297296296296296295296293294295296294295295295294294295294294294292293293292292292292291291292292292291291290291291292292292290290292292289289289289288288289288288288289289288288289288288287287288287287287287288288288289289289289289289290289291291291291291291291291291290291290290290289289288288287286286287288287287287287287288287288288289289291291291291292292292291291291291291291291290290290289289289290289289289289290290289290290289290290290290289290289290290290290291290291291290289290289289289289288288289289288289288289289289289289290290290290290290291290290290290290290290290290291291292291291292292291292292292292292292292292292291291291291291291291290290290290290290290290290290289289290290290290289289289289288288288288288288287288287287287286286286286286286286286286286286286286286286286286286286286286286286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309311312311311311310312312313313314314313312311311312310312312311311311310309306304304999999999999999999999999999999999999300295298301302303304304304305305305306306307309310310309309309309308308309309310311311310310309310310310309310311310311312310312312311311312310310310309309310310310310310310310311311311311311311311310311311311311311311311311311310311310310310309310310310309310310310311311311311311310309309309308308308308308307306307999999999999999999999999305305306306305305305999308309311310309309309309309309308308308307309309309308309308308308309309310310310309309309309308308307307306306306306305305303304304303301301301300300301301301300300300300301300299300301302302302302303303303302302302303302302303303302303303304305305305305306306307308308308308308309310309309309310309308309308308310309309309309309308308309308308308308308308307307306306306306306306306305305305305305305306306305305306306305305305304304304304303304303302302301303303303302302303303302303303303303303302302302302302302302302301301301301301301301301301301302302302302302302301301302302302302302302302302302302301301301301301300301301300300299299299300300300300300300300301301301301300301301300301300301301301301301301301301301301301300300300300300300300300301300301300300300300300300300300300300300300301300301301301300301300300299299300300300300300300300299300300299299299299298297298296296296296297295295295294295295296296295295294295295294294295294294294294293293292291292292292291292291291291290292293291291290290290291290288289289290289289289288288289289289288288288288288288288288288288287289288288289291289290290290290290290291292291291291291291291291290291290290290288288288288286286287287286286287287287287287288289289290291291292292292292292292291291292291291290290289289289289289289289289289289291290290290290290290290290290290290290290290290290290290291291291290290290290289289289289289289288289289289289289289290290290290290290290290290290290290290290290290290291291292292291292292292292292292292292292292292292291291291291291291291291291290290291291291290290290289290290290290290289289289289289288288288288288288288287287286286286286286286285285286286286286286286285286286286286286286286286286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310310311312310309310312313314313313313312311312310310312312311311310310310309308306304305302999999999999999999301297297298300302304305305305305304304306305305305306307308308308309308308307310309309309310310310310310309310309309310311310311310310312311311311311309310310310310310310310310310309310311311311311311311311312311311311311311311311311311311310310310309309310310310310310310310310310311310310309310309309308308308308308308308309999999999999999999999999999999308308308308307999999309310310310309309309310309308308308308309309309309309309308308308310310310310309309309308308307308307307306307307305304304303302303302302302300299301302301301300299300300300301301301302302301301303302302302302302302302303304304303303304305305305305305306306307308309308308308309310309309308309309308308308308310309309310310309309308309309309308308308308308307306306306306306306305305306306306306306307306306305305306306306305305305304304303303303303302302302302302302303303303303302303303303302302302302302303302302302302301301301301301302301302302302301302302302301301302302303302302302302302302303302302302302301301301300300300299300299300300300300300300300301301302302302301301301301301301301301301301301301301300300300301300300301300300300301301301301301301301301300301300300300301300301301301301302301301300300300300300300300300300300300300300300300299299299298298298298298297296296296296296296296296295296296296296296295295296296296296296295295295294292293292292292292292291292292292291293293292291292290291290291289289289289289289289289288289289289289289288288288288289288288288288289289290289290288289290290290290290290291291291291291291291292291291290290289289288287287287287287288287287287287287287288289289289290291291291292292292292292292291292292291290289289289289290289289289289289290290290290290290290290290290290290290290290290290290290290290291291291291291290290290289289289288289289289289289289290290290290290291291290290290290290290290290290290290291291292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291290290290290290290289290289289288288288288288288288288288287287287287286286286286286286285285286285285286286285285286286286286286286286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304306308309309311312313313313312312311311309309310311310311310311311309309309309306306303302301299299999999300300300302303304305306307307307305305306306306306307307308308308308308307308309309309309309309310310309309310310310310310311310310311311311311310309309311310310310310310310310310310311312311311312311311312311311311311310310310311311310310309310309309310309310310309309309310310311311311310309309308307308309308309308308309310999999999999999999999999999999999999999999999999999309310310310309310310309310309308308308308308309309309308308309309309309309309309309309308308308307307307307307306306304304304303303303302302301301301301301301300300300300299299300301301301300301301301302303302302302302303303303304303305305305305306305306306307308308308309309309309309309308309309308309309309310310310310310310310309308309308307308308307307307307307306306306306305306306306306307307306306306306306306306306306306305304304303303303303303302302302302302302302302302302302302302302302302302302302302302302302302301301302302302301302302302302302302302301301303303303303302302302302303303302302302302302302301301301301301300300300301300300300300301301302302302302302301301302302301301301301301301301301301301301301301301300301300300301301301301301301301301301300300301301301301302302302302301301301300300299300300300300300301300300300300300300299300299299299298298298297297297297297296297296296296296296297297296295296296295296296295296295295293292294293293292292291292294293292292293293291291291291290290290290289289289289289289289288289289289289288289289289287289289289289288289290291290291289289291290290290291290291291291291291291292291291291290290289289289288288287287287287287287287286287288289290290291291292292292292292293292293293292292292291290290289289289290289289289289289290290290290290290290290291290290291290291291290291291291291292292292292292292291292291290289289288289289289289289289290290290290290290291290290290290290290291290291290290291292292292292292292292292292292292292292292292291291291291291291291290290291291291291291291291290290290290290290289289289288288288288288288288288288288288287287287287287287286286286286286286286286285285285286286286285286286286286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309311312310312313311311310311311309310309309309311312311310310310309309308306306305303302302302300300301302303305305306307308308308308308307307307308308308308308308308309309309309309309309309309309309309309308309309310310310310310311311311311310309309308310311310310310310310311311311311311311311312312312311310310311311310310311310310310310309309309309309310309309310309310310310310310309309308308308308308308309308307309999999999999999999999999999999999999999999999999999308310310310311310310309309309309310309308307308308308308308308308308308308308308309308308309308307307308307307306306306306304304304304304304303304302301301300300299300298300300300300301301301301301301301302302302302302302304304304304303304304306306306306306306307307307308309309309309311308309309309308308309309310310310310310309309308308307307307307307307307307306306307306306306306306306306306306306307306306306305306306306305305304304304303303304303303302302302302302303303302302302302302302302302302302302302302302302302302302301302301301301302302302302302301302302302302302303302302302302302303303303303303302302302301301301301301301300300301300300300300300301302302302302301302302302302302301302301300301300301301301301300301301300300300300300301301301301301301301300301301301301301301301301301301302302301301300300300300300300300300300300300300299300300300300299299298298298298298297296297297296296297296296296297297297296297296297297297295296295293294293295293293292291291292293293293292292292292291290290291290289289289289289288289289288288289289289289288288289289288289289289289291290290291291290290290289289291291291291290291291291291292292292291291290290289288288288288287288287288288287286286287289289290291292292293292293293293292292292293293292292291291290290289290291290290289289290290289290290290290290290290290291291291291291291291291291291292292292292292292292292292291290290289289289289289289289289290290290290290290290290290290290290291290291291291292292292292292292292292292292292292292292292292291291291291291291291290290290291291291291291291291291291290290290289290289289288288289288288288288288288288288287288287287287287287286286286286286286285286286286285286286286286286286286286286286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308310311311312311311310311309310309309309310310311311311311310310309310309308307306305306306304304304304305307306306307308309309309309310310310309310309310309309308309309309309309309309309309309309308307309309308310309310310310311311310311310309309309310310310310309310310310311311311311310310312312312312312310311311311311310311310310310309309309308308308308308308309309309310310309310309308309308308308308308308308309308999999999999999999999999999999999999999999999999999309310310311312310310309310310310309308307307307308308307308308308308308308309308308309308308309307308308306306307306306306304303304305304304302303303302301301299298300298299300300300301301301301301301301302302302303302303302303304305304304304305305306305306306307307307308308308308309309308308309308308308308308309309309309309309309308307308307307307308307307307307307307307307307307307307307307306307307306306306306307306306305306305304304303303302303302303303302302302302302301302302302302302302302302302302302302302302302302302301301301301301302301302302303302302302302302302302301302302302303303304303303302303303302302301301301301301300301300300301300300301302302302302302302303302302302302301302301301301301301301301301301301301301300300301301301301301301301301301301301301301301301301301302301302301301301301300300300301300300300300300300300300301301300300299299299299298298298298298297296298296297297296296297297297297298298297296295296295295295293294293293294293293292291292293293291292293293292290290290290289289289289289288289289289288288289289289289289289289289289290290290291292291290290291291290290290290290290290290290291291291291291291292291291290290289288288288288288289288288288287287288289289290291292292292292292292293293293292292293293293292292291291290290290289289289289289290290290290290291290291291291291291291291291291291291292292292292292293292293292293293293293292290290290289289289289290290290290290290290290290291290290290291291291291291292292292292292292292292292292292292292293292292292292292291291291291291291290290291291291291291291291291290290290289289289289289288289288288288289289288288288288288288288288287287287287287286286286286286286286286285286286286286286286286286286286286286285286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308311311310310311310309310309309311311310310311311311311311311312311311310309307306306307307307307308308308308308308310309309311311311312311311311310311310310309309309309309310309309310309309310307307309309310310309310311311310310310309310310311311311311310310310310310310310311311311312312311312311311311311311311310310310310310310310310309309308308308308308308309309308309309310309308308308307307307307307308306307309999999999999999999999999999999999999999999999999999307309310311310310310310310308309309308308307308307307307307307308307308308309308308308308309308307307307306306306306306305305304305303304303302303303301301301299300302300299300300300301301301301301301301301302302302302303304303304304305304305305305306306307306306307308308308308308309308309309308308308308308308309309309309309309309309308307307308307308307307307307307308308307307307307307307308307307307306306307308306305305305305305304304302303302302302303303303302302303302302302302302302303302302302302302302302302302302302302302301302301301302302303303303303303303303303303302302302303302302303304303303303303303303303301301302301301300300300301301300301301302302302302302303302302302302302301302302302301301301301301301301301301301301301301302302302302302301301301301302301301302302302302302302302302301301300301301301300300300300301300300300300300301300300300300299299299298299299297298297298296297297296297298298297297297297297296294296295295294294294294294293294292292292293293294293293294292292293291290290289289289289289289289289288289289289289289289289289289289289290291291292292291290290290290290290290290290290290290290291291291291291291291292291290289288288287288287287288288288288288287289290290291291291292292293292293293293293293293293293293293293292291292290290290290289289290290290290290291291291291291291292292292292292292292292292292292292293293292293293293293293293293291291290290289289289290290290290290290290291290291291291291291291291291292292293293293292292292293293292292292292292292292292291292291291291291291291291291291291291291291291291291290290290290289290289289289288288288288289289289288288288288288288288288287287287286286286286286286286286286285286286286286286286286286286286286286286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305308310310310310310309308309310310310311311309310311310310311312312311311311310309309310308308308309309309310309309311311312312313312312312313312311311311311310310310309310310309309310309309309309310309309308309309310310310311310310308309309310310310309311311310310310310309309310311311311312312311311311311311311311311310310311310310310309309309309308309308308309308309309308308309308308308308307307306306306307306307999999999999999999999999999999999999999999999999999999307310310311310310311310310309309308308308307307307307307307307307307308308307308308307307307308308308307305308306306306305305306305303304303302301303302303302300300300299299299300301301301302301301301301301301302302302303302303304304305304304305305306306306306307307308308308308308308308308308307308308308308308309309309309309309308308307307307307307308307308308307307308308307307307307307307307307307307307307307307307306305304304305303305304302302302303303303302302302302303303302302302302302302302302302303302302302302302302302302302302301301302304304304304304304304303303303303302302302302302303303303303303303303303303302302301302301301301301300301301301301302302303302302303302302302302302302302302302302301302301302301301301301301301302301302302302302302302301301301302302302303302302302302302302301301300300300300300300300300300300300300300300300300299300300300299299299299299298298298298298296297297298298298297297297297298295297295296296295293293293294294294294294292294292292293292293293291291291290290289289289289290289289289289289289290291289290289290289290290290291290291292291291291291291291290290290290290290290290290291291293292291291291292292290289288288288288287288287288288288288289290290291291291292293293293293293293293293293293293293293293293292291291290291290290290290290290290290290291291292292292292292292293292293292292292293292293293293293293293293293293293294293292292291291290289289290290290291291290290290291291291291291291291291292292293293293292292292292292293292292292292292292292292292291291291291291291290290290291291291290290291290290290290290289289289289288288288289288289288289289289288288288288288288288288287287287286286286286286286286286286286286286286286286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307309311312310309308308308310310310311311309310309311311310311311311311312311310311310310310310311310310311311311312312313312312313312313312311310310310310310311311310310309308309309309308308308309308309309308308308309310310309311308308308309309309310310311311310310310309311311310311311311311311310311311311311311311310310310310310310309309308308308308308309308308308308308308308308308307307307307306306306306306307999999999999999999999999999999999999999999999999999306308309310311310310309311310310310309308308307307307307307307307306306307307308308308308307308308308307307306307307308307306305306307304303302302302302301301301301301301300302299300300300301300301301301301302301302302302302303304304304305304304305305306306307307308307307308308308308308309308308307307308307308308310309309309309309308309308308308308307308308309308307307307308307307307308307307307307307307307308307307307306305305305305305305304303302302303303302302302303303303303303303302302302303303303303302303303302302302303302302302302302302303303304303304304304304304304304303303302302303303303303303303304303303303302302302302302302302302301300300300301301302302302302302302302303302302303303302301302302302302301302302301301302302302301301302302302302302302302302301302303303303302303303302303302302301300300300300299300300299299299300300300300300300299300300300300300299299299298299299298298298297298298297297297297298295296298297297296295295295293293295294294294292294294292293293292293293290290290289289290289289290290289289289289289290290291290290290291291291291291290291291291291292291291292292291291290290290290290290290291290292292291291290292291289288288288289288287287287287288288287289291291292292291292292292293293293293294293293293293293294293293293292291291290291290290290290290290290291291291292292292292292293293293293293293293293292293292293293293293293293294293294294293292291291290291290290291291291291291291291291291291291291292292292292293293293293293292292293293293292293292292292292292292292292291291291291291290290290290290290290290290290290290290289289289289289288288288289289288289289289289289289288288288288288288287287287287286286286286286286286286286286286286286286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308309309308307308307309310309311311311310309310310312312310310311311311311311310310311311311312311312312312313313312312313313312313313313310311311310310311311311311310309309309308310308309308308308308309308307308309308308309309309309309309309310309310310310310310310309310310310311311311311311311311311311310311310310310310310309309309309308308308308308308309308308308308308307307307307307307306307306305306307307999999999999999999999999999999999999999999999999999307308308309310311310309309310311311310309308308307307307307307307307307308307308309308308308307308308307307307307308308307308307305305305304303303302303302303301301300303303303302301300299300300301300301302302301302302302303303304304305304304305304305306306307307308307307308308308308308309308308308308308308308308309309309309309309309309309309309308308308309309309308308308307307307308307307307307307307307308308308307306306305305305304305305303303303303302302302303302303303303303303303302302302303303303303303303303303303303303303303303303303303304304304303305304304304304304304304303302303303303303303304304304303304303303303303301302302302302301300301301302302302302302303303303302303303303303302302302302301302302301302302302302302302302302302301302302302301302302302301303303303303303303303302302301301300300300300300299299298299298299299300300300300300299300300300299299300299299298299298297297297296297297296296296297296296296296294296297294295295294293293294293292291293293292294295291294291291291291290290289289290290290290290290290289290290290290290290291291292291290290291291290292292292292292292292291291290291290290291290290291291291292290290291291291288288288288288288288287287287288289291291291292293292292293293293293293293293293293293293293293292292292292292291291290290290290290290290290291291292292292293293292293293293293293293293293293293292292293292293293293294293294293294293293292292292291292291291291291291292292292292292292292293293293293293293293293293293293293293293293293293292292292292292292292292291291291291290290290290290290290290290290290290290290290289289289288288288288289289289289289289289289289288288288288288287287287287286286286286286286286286286286286286286286286286286285286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307308308308308309309310311311310310309311310311311310311311311311311311310310310311311311313313313313312314314313313312313312313312312312311311311311311311310311309310310308309309309309310310309309308309308309309308308309308309309309309310309309309310310310310310310310310310310310310311310310310311310311310310310310309309309308308308308308308308307307308308308308308307307307307307307307306306306305305306306999999999999999999999999999999999999999999999999999999307307308309311310309309311311311311309308307307307307307306307307307307307308308308308309308308308308308308307307308307307306306306305304304304303303301302302302303300300301301301299300300300301301301301302300302302303303303303304304304304305305305306306306306307307307307307307308309308308308309309308308308309310309310309310309309309308309309309309309309309309309308308308308307307307307308308308308307308308308307307306305306306305304304303304304304303302303303302303303303303303303303302302303303303303304303303303303303303304303304303304304304305304304305304304304305305304304304304304303304304304305304305304304303303303302302303302302301301301301301302302302302302302302302302303303303302302302302302301301302301302302302302302302302302302302302302302302302302301302303303302303304303302302301302301300299299299298300299298298299300300300300300300299300299300300299300300299299299299298298296296297297295295296297296296295295296296296295293294295294294294294291292291291291292292294292293292292291289290289291291290290290291290290290290290290290290290291292291292290290289291291291292292292292291291291291291292291292291291291290290291291291291291291290290288288288288288288288287287287289290291292292292293293292292293293293293293293293293293293293293293292292292291291291290290290290290291290291291292292293293293293293293293293293293293293293293293293293293293293294293294293294294294293293293292292293292292292292292292292292292293293293293293293293293293293293293293293293293293293293293292292292292292292291292291291291291290290290289290290290289290290290290290290290289289289288288288289288289288289289289289289289289289289289288288288287287287286286286286286286286286286286286285286286286285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305308309308309309309311311311311309309309310310311310311312311311311310310312312312311313313313312313313313313312312313314314314314312312312312311311311311310310310310310309310309309308310309309309309308309308308308309309309309309309309310309309309310310310309310310310310309310310310310310310310310309309310310309310309309309309308308308308308308307307308308308308308307307307307307307307306306306305305305306999999999999999999999999999999999999999999999999999999306308308309310310310311311311309310308308307307307306307307306307307307307307308308309309309309308308308308308308307306307307307306305304303302304303302302302302302301299301300300301301300300300301301302302302303303304303303303304304304305303305306306306306306306307307306307307308308309309308309309309308309310310310310310309309309309309309309309309309309309309309309308308308307308307308308309308308308308308307307306306307307304304304304304304304304303303304304304304303303303303303303303303303303303303304303303303303303304304304304304303304304304304304305304305305306305304305305304304304304304304305304305305304304303304302303302303302302301301301301301302302302302302303302303303303303303302302302302302302301301302302302303302302302302302303303302302302303302302302302304303302303302301301302301301301299300299300298299299299298300300300300300300299299299299299299300298298298300298299298298298296296296296297297296296293293293295295293293292292293291294292290291290292293293293291292291292292290291289290290292291290291291291290290290290290290290290291292291290291291292291291291291291292291292292292291291292291291291290291291291291291290290292291290290290288288288288288288288287288290291291292292293293293293293294294294293293293293293292292293293293292292292291291291291290290290290290290290292292293293293293293293294293293293293293293293293293293292293293293293294294295294294294293294293293293293293292293292292293293293293293293293293294293293293294293293293293293293293293293293293292292292292292292292292291291291291290290290289289289289290290290290290290290290290289289288288288288289289289289289289289289289289289289289289288288287287287287286286286286286286286286286285285285285285285285285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306307308309310311311310311311310310310311311312312312311310310310313314313313312313312313313312314314314313314314315314314313313313312312312310310311311312312311310310310310310310310309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309309310310310310309309309309308308308308308308308308308307307308307307307308308308308307307307307307307307305305305305305305304307999999999999999999999999999999999999999999999999999999306308308310310311310311310309309308308308307307307307306306307306307307307307307307308308308308308307308309308307306307307307306305304305304304303303303303302302302301300302302301300300301300301301301302302301302303303303304304304304305305305305305306306306306306307306307308308308308308308309308309309309310309310310310309309309309309309308310310309309309309309308308308308308308307307308308308308308308308307307306306306306304304304304304304304303303303303303303304304303303303303303303303303303303304303303303303303303303303304304304304304304305305304304304305306305304304305305304304305304304304304304304304304304304304304303302303302302301301301302301302302302303303303303303303303303302302302302302301301301302302302302302302301302303302302303303303303303302303303303302302301302301302302301301300300299298299300300299299299299299299300300300300299299299299300299300298298298299299299298297296296295296295296295296296295295296296296293294293294292292294293293291292292293292295294293292293291290290291291291292292291291291291291291291291291290290291291293292291290290291291291291292291291292292292292292291292291291291291291291291290291290290291291290290290288288287287288288288288289291291292292293293293293293294294294294293293293293293292293292292292292291291291291291290290290290290290290291292293293293293293294294293293293293293293293293293293293293293293293293294294294294294293294294293293293293293293293293293293293293293293293294294294294294293293293293293293293293293293293293292292292292292292292292291291291291291290290290289289289289289290290290290290290290289289289289288289289289289289289289289289289289290290290289289289288288288288287286286286286286286285285285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305307309310311311310311311310310312313312313312311311312312313315314313313313312312314313313314314314314314314315313313313311312312312312312311311311311312311311311310311310310310309309309309309309309309309309309309309309309309309309309309309308308309308309308308308308308308309309309309309310309309309308308308308308308308307307307307308307308307308307307307307307307306306307307306305304304304305306999999999999999999999999999999999999999999999999999999999999308308309309310310310310308308309308308307306307306306306306306306306307307307307308308307307308308308309307307307308308306306305305305305304303303304305304302302302303302302301301301302301302301301303303302303303304305304305305305305305305305306305305305306307307307307307307307308308308309309309309309309309310310309309308308308309309309308310310309309308308308308308308308308308308308309309308308308308307307307306306305304304305305305305304303303303303303304304303303303303303303303303302303303303303303303303304304304304304304305304304304305305304305305305305305305305305305304304304304304304304304304304304304304304303303303303303302301301301301302302302302302302303303303303303303302302302302302301301301302302302302302303302303303303302303303303303303303303304303303303302302302302302301301301300299299298299299299300300299299299300300300299300299299299299299300300298298298298299298296296297295296296296297296297296296295297296294293293293293293294293294290292293292292292294294293293292291292291291292292292292292292291291292291291291291291291292292292291291290291293291291291291291291291292292292292291291291291291291291291291290290291289289289289288287287287287287287289289290291291292292293294293294293293293294293293292293293293292293293292292292292291291291291291290290290290290290291292293293293293293293293293293293293293293293293293293292293293293293293293293294294293294294295293294293293293293293293293293293293293293294294294294294294294293294293294293293293293293293293292292292292292292292292292292291291291291290290289289289289289290289290289289290289289289289289289289289289289289289289289290290290290290290290290289289289288288287287286286286286285285285285286285285285285285285285284285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306308308310311311311311311312312313313313313312312312312313314314313314314313313313314314314314314314314314314313312312312311312312312312312312311311312312311312311310309310310309309309309308309309309308309309309308309308308309309309309308308308308308308307307307307308307308308308309309308310309308309308308308308308308308308308308308308308307308308307307307307307307306307306306305304304304301305999999999999999999999999999999999999999999999999999999999999306308309309310310310309308309308308308307307307306306306306306306306307307308308308308308307307307307307307307307308306306306306305305305305305304304303304304302301304302303302301301300301301301302302304304304304304305305305305305306305305306306305305306306306306306307307307308308308309309309309309309309309309309310309308309309309309309309309309309309308308308309309309308308308308308309308308308308308307307307306306305304304305304305304304303302303303303303303303303303303303303303303303303303303303303304304304304304305305304304304304304305305305306305306305305305305306305305304305305304304304304304304303304304304303303302303302302301301301300301301302302301302302303303303303303302302302301302302302302302302302302302303303303303303302303303303302303302303303302303303302302302301301301301302301300300300300300300300300299300299300300300300299300299299299299299300298298298299298297297297296295295298297297296297297298295295295294296293294293296294294294294292291293294293293293293293293292292292291292292293292292293292292292291291291291291291291291291291291291290290291290291291291291291292292293291291291292291291292292292291290290290290290289287288287288288289288288290290291291292292293293294293294294294294294293293292292293293293293292292292291291291291291291291290290290290290291291292293293293293293293294293293293293293293293293292293292293293293293293293293293293293293294294293294294294293293294293294294294294294294294294295295295295294294294294294293293293293293293293293292292292293293292292292292292291291291290290290289289290289289290289289289289289289289289289289289289289289289290290289290290290290290290290290290289289289288288288287286286286286285285285285285285285285285285284285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305307307308310311311312311312313314313313313311312312314314314313313313314313314314314314313314314314313312312312311311312312312312312312313312313312311311310310310310310309309309309309309309308308309309309309309309307308308309309308309308307307308306307306307306307307307308308308308308307308308308309308308308307308308308308308308307307307308307307307308307307306306305305305305304304305304304305999999999999999999999999999999999999999999999999999999999999999307308310310309309309309309309308308308307306305306306306306305306306307307307308308307307307307308306307307307307306306305306306306307306305305304303305305304304302303302302301302302302302302302302305306306306306306306305306305305305305305305305305306307306307306306306308307308309308308308308309309308309309309309308308309309309309309309309309308308308309309309309309309309308308309309308309309308308307308307306305305304304304304303303303303303303303302303303303303302303302303303303303303303303303304304304304304304305305305304304304304305306306306306305305305306306306305304304305305305304305305304304304305304304304303302302302301301302302301301301301301301303302302303303303302302302302302302302302302302302302302303302302303302303302303303303304304303304303303303302303303301302302301301301301300300300300300300300300300301300300301300301300300300300300299300299299298298299298295298296295295297298296296297296298298295296295294294295295295295296296296294296296294294294293293294293294294292292291292291294294293292292292292290291292291290291290292290290290291290290291292291291290291291292292292292293292292291291291292292292290290290289290288287288288289289288289288290291291291291292293293293294294294294294294293293293293293293293292292291291291292291291291290291290290290290291292292292292293293293294293294294294294294293293292293293293293293292292292292292293294293293293294294294294294294294293294293294294294294294294294295295295295295295294294294294294294294293293293293293293293293293293293292292292292292291291291290290290290290290290289290289289289289289289289289289289289289289289289289290290290290290290290290290290290289289289288288287287286286286285285285285285285285285285284285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302305306308309310311312312312314314313313312313312313314314315315314314314315314314314314314314313312313311310311311311311312312312312312312312312311311310309310310309309309309309308308308308308308308309309309308309308308308309309308308307307307307306306306306307306306307307307307307308307308308308309308308307307308308308308308308309309308307307307307307307307306306306305305305305305305305304305999999999999999999999999999999999999999999999999999999999999306307309308310310310309309309309308308307307306306306306307306305306307307307307307307308307307307307307307307307307306306306307307307306306305306306305306305304304303303302303303302303303303303303306306307307306306306306306306306306306306306306305306306307306307306306307307307308308308308309309308308308308308308308309308308308308308309308309309309309309309309309309309309309309309309309309309308308307307307306306306305304304304303303303304304303303303303303302303303303303302303303303303303303303303303304304303303304304305305304304305304304305305306306305305306306306306305305304304305305305304304304304304305304304304303304303302302302301302301301301301301302302302302303303303302302302302302302302302302302303302303302303302303303303303303303303303303303303303303303303302303302302302301301301301301300301301301301301301301300300300300300300300300300300301299299299299299298297296297298298295295296297298295295296298296295295294294294295295295295295294296294293296293292293292295293292294295295294292293292294293292293293292292291291291291290293291292291291289290290290290291290290291292291291292292292292291291291292292292292291291290289290290288287288289289290289289289290291291291292292293293293294294294294294295294294294293293293293293292292292291291291291291291291291291291291291292292292293293293293293293293293293293293293292292292292292292292292292292292293293293294294294294294294294293294294294294294295295295295294294294295295295295295295295295295294294294294293293293293293293293293293293293293292292292292292292291291290290289290289290290290290289289289289289289289289289289290290290290290290290290290290290290290290290290290289289289288288287286286285285285285285285285285285285284285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305307308310312312313314313313314313313313313315315315315314316314314314314315314315315314313311311310309310310311312312312312312312312311312311311312309308310308309309308308308308308308308308309309308308308308309308308308309309307307307307307306306306306306306306306306307306307307307308308308308308307307307308307308308308309308308308307307307307307306307307306306305306307305305306306304306999999999999999999999999999999999999999999999999999999999999305308309309309310309309309309309308308307306306306305306306306306306306306307307307307307307307307307308307307307308306306307307307307305305305306306305306305304303304303302303302302303303303304306305306307307307306306306306306306306306306306306306306306306307306306306307307307307308308308309309308309308309308308308308308308308308308309309309309310309309309309309309309309309309309309309309309308308308307306306306306305305305304304303303303303303303303303303303303304304303304303303303303303303303303304303304304303303304305305304305306305304305306306305305306307306306305305305305304304305305305305304304304305304304304303304302303303301300302301302301301301303302303303303302302302302302302302302302302302301302303302303304302303303303303303304304304303303303303303303303303303302302301301302302301301301302302301301301301300300300300300300300300300300300299299298298298298298298298297297296296296297297297296297296297297296297295295294294294294295294294294295294295291291292293294294295295296296295296295293293294292293293293293292291291291292290291292292291290289290291291290290290293292291291292292292292292291291292293293292292292291290290290288288289289289289289290290291291291292292293293293293294294295295294295294294294293293293293292292292292292291291291291290290291291291291291292292292293293293293293293293293294293293293292292292292292292293293293293293293293293294294294294294294294294294294294294294295295295295294295295295295295295295295295295295294294294293293293293293293293293294294293293293293293293292292292291291290290290290289290290290290290290289289289289289289289290289290290290290290290290290290290290290290290290290289289289288288288287286286286285285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307310311314314313313313313314314314314315316315315314314314315314316314314314315314314312311311310311312312312312312313312312312312312311312311311310310309308308308308308308308308309308308308308308308308308308308308308309308307307307306306306306306306306305305305305306306306307306307307307308307307308308307308308308308308307307308307306307306307306306306306306305305306306306306307308999999999999999999999999999999999999999999999999999999999999999306309309309309310310310309309309309308307307306306306306306306306306306306306307307307307307307306307307307306306307306305306307307306306305306306306307307306304303304303303303302304303303303304305305306307307307307307307307307306306306306306306306306306306306306306307307307307307308308309309310309309308309308308309308308308308308308308309309309309309309309309309309309309309309309309308308308308308308306306306306305305305305304304304304304304304303304303303303303304303304304304303302303304303303304304304303304304304304304305305304305305305305306306306306306306305306306305306305305304305306305304304304304304305304304304303303303302301302302302302302301302302303302303302303302302303302302302301300301301302302301302302302303303303304304304304304304304304304304303303303303302302302302303303302302302302302302302301301301299301301301300299300299300300301300299300299298298298298297298297299297295298297297297296295296296295295295295295293292294294294294295293294294295293291293294296296296296295296295295296294294293293294294293292292293292293292291291292291291291292290290290290290291292291291292292292293293292293293293293292293291292292292290289290289289289288290290291291291292291292293294294294294294295295294295295294294294294293293293293292292292292292291291290290291291291291291292292292293293293293293293293293293293292292292292292292292292292293293292292293293293294293294294294294294294294294294294294295294295295295295295295295295295295295295295295294294294294293293293294294294294294294294293293293293293293292292292291291290290290290290290290290290290289290289289289290290290289290290290290290289289290290290290290290290290290290289289289288288288287286286285285285285285285285285285285285285286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313314315315314315313313313315315316315315316317314315315315316315314315314315314313312311311312313312312313313313312312312311312311311311310310310309309308307308307308308308309309308308308309308308308308308309308308308307307307306306306307306306306305305305305306306306306307307307307307307307308307307308308309308308307307307307307307307307306306307306306305305305306306306306306307999999999999999999999999999999999999999999999999999999999999306308310309309309309310309309308308308307308308306306308307306306306306307307307307307307307306306306307307307306306305307306306306307306307306306306306307306305305304303303304303304304305305305305305306306306306307307307307306306305306306306306306306306306306306307306307307307307307308308310309309309309309309309309309308308308308309309309309310309309310310309309309309308308308308308308307308307307307307307307307306305306305304304304304304304304304303304303304304304304304304304304303303303303303303304304304304304304304304305305305304305306306305305307307306306307305306305305305304305305305305306305304304305305305305305304303304303302302301302302302303303303304302303302303303302302302301302302301301301301302302302302302302302304304304304304304304304304304304304304304304303302302303304303303302302302302301302302301300300300300301301301300300299300300300300300299300300298300300300300300295298296297297297297297298298296295295295295294294295294294294294294293295294295295292292292293296296297296296295294294295294292292294294293293294292293293294292291292291292291292290291291294291292292291292294293292293292293293293294293293293292291292292292290290289291290290290291291292292292293293294293293294294294295295295295295295295294294294294293293293293293293293292291291291291291292292292292292293293293293294294294293293293294292293292292292292292292292293292293293293293293293294293294294294295295294294294294294295295295295295295295295295295295295295295295295294294294294293293294294294293294294294294294293293293293293293292292292291291291290290290291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289288288287286286286285285285285285285285285285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999315315315315316315314314314315314314315316316315315314315316315314315315314314312311311311312312311311312312312312311311311311311311311311310309309309307307307307308308308308309308309308308308308308308308308308308307307307306306306306307306306305304305305305305306306306307307306307307306307307308307307308308308309308307307308307308308308308307307306306305304305305305306307307307999999999999999999999999999999999999999999999999999999999999307309309308309309310310310309309308307308307307307306306306307307307307307307307307307307307307306306306306306306306306306307307306306305306306306306307307306305305304304304304304304305303306305305306306306307307307307306306306306305305307306306306306306306306306307306306307307308308308308309309309310309309309308308308308308308308309309310310309309310310310309309309309308308308308308308308307306307307307306306306306306306304304303304303304304304303304304304304304305304304304304304303304303304304303302303304304304304304305305305305305305306305305305306306306306307306305305305305305305306305305305305305305306306305306305304303303303303302302302302302303303303303303303303303302302302301302302302301301301301302302303302303303303303303304303304304304304304304304304304304304304303303304304303303302303303303302302301301301300300301301301300301300300300300300300300300299300300300300301300299298296296298297297298297296296295295295294294296295294293295295294294295299297295296295294292292297296299296296295294294294294292293292293293293292293293292292291290290292291291290292291290291292291293291291293293292293293293294293294294293293292291293293292290289290291289290290291292292293292292293294293293294294294295296295295295295295295295295295294294294294293293293293292292292292291292292292292292292293293293293294294293294294293293293293293292292292292292292293292292293293294293293293293294294294294294294294294295295295295295295296295295295296296295295295295295295294294294294294294294294294294294294294294294294293293294293293292292292292291291291291291291290290290291290290290290290290290290290290289289290290290290290290290290290291290290290290289289289289289288287286286286286286286285285285286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999316316316315314315314314315314315315315316315316316315316316315314314313312311311312312312311311310311311311310310310311311311311311310310308308307307307308308308308308308309308309308308308308308308307308308307307307305305305306306306306305304305304305306306306306306306306307307307308308307307307308307308307309308307308308307308308307306306305305305304304305305305306306307999999999999999999999999999999999999999999999999999999999305308310310309310310310309310310309307307308307307307306307307307307307307307307307307308309308308307306306306307307307306305306306306306306306306307307306306306305305304303304304304304305305305306305305306307306307307307306306305305306306306306306307306307306307307307306306307307308308308308309309309309309308308308308308308308308308309309310309310310310310309309309309309309308308309308309308307307306307306306306306306306306305304304303303304305304304304304304304305304304304304303303304303304304303303304304304304304304304305305305304305305305305305306306306306306306305305306305305305305305306305305305306306306306304305305304303303304303303303303303303304303303302304302302303302302302302302302302301301302302302303303304304303303303303304304304304305304305304303304303304304304303303303303304304304304302302302302301301301300301301301301301301300299300299299300300299300300300300298297297298297295295296296296295297297296295295295294295295294293295294294293294296296297296297295295293294296295298296294296293292293293292292291292293292294294292292292292289290291291290292292291291291291291291291292293293293293293294294294295294293292292292292291291292290289291290291291291292292293292292293293293294294294294295296296295295295295295295295295295295295294294293293293293292292293292293293292292293293293293294294293294293293294294293293292292292292292292292292293293294293293294293293293294293294294294294294294294295294295295296295295295295295295296296296295296295295295294294294294294294294295294295295295295294294294294294294293293293292292292292292292292291291291291291291290290290290289290290290290290289290290289290290289290290290290290290290290290289289289289288288287287286286286286286286286286286286286286286286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999323316315316314314314313313314315316315315316315317316316315316315313312312312312313312312312311311311311310310310310310310310310310310309308308307307307308308308308308308308308308308308307307308308307307307307307306305306305305306306306305304305305305306305306305305306306305305307306307307307308307307307308308308307307307307307307305306305305305304305304305999307306308307999999999999999999999999999999999999999999999999999999999306309310310309309310310309310309308308308308307307307306307307307307307307308308306307308309308308307307307306306306306305306307307306307307305306306305305306306305305305304304304305306306305305306306305306306306306306306305305304305306305306306306306307307306306306306306307307307307308308308309309308309308308307307308307307308308308309309310310310309309309308309309309309308309308308308307307308308307306306307306306305306306305305304305305305305304304304304305304304304305304303303303304304304303303304305305305306304305305305305304304305305305306305306306306306306306305306305305305305306306305306305305305306306306305305304305304304303303303304303304304304303303303303303303302303302302302302301301301302302302302303303303303303302303303303303304304304304304303303304304304304303303304304304304304304302301303303300301301300300301301301301301300301299300300300301299298299298298298298297297297296295295297296296295295296298297297296295294295296295296295295295295295296296297296295295295296295296295295296296295295295294294292291292295294294293295292291292292291291290290291292291291290291291291292292293293293293293294295295294293293293294292291292292293291291291290290290290291292292293293293293293294294294294295295295295295295295295295295296295295295294294294294293293293293293294294293293294293294294293294294294294294294293293293293292292292292292292292293292293293293294293294294294294294294294294293294294294294294295295295295295295295295296296296295296296296295295294295294294294295294294294295295295295294294294294294293293293293293293292292292292292292291291291291291291290290290290290290290290290289290290289289289290290290290290291290290290290289289290289289289288287287287286286286286286286286286286287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999317312312313313313312312314315315315316316316317316315314314313313313313312312312312312312312311311310310310309310309309310310309307308307307307308308308308308308308308308308307307306306306306307307307307306306306305305305305305305304305305304305304305305306306306305306306306306307307307307307307308308308309308308307307307306306306306305306306305304304999999306309309308999999999999999999999999999999999999999999999999999999307309310310309309310310310310309308309309308308309308307307307308308309308308308307307308309306306306306306306306305306306305306305305306306307306305305306304304305305304304307306305305305305305305305305305306306306306305305305305305305305306306305306306307307306307306307307307307307308308308308308308308308307307307308307308308308309309309310309309309309309309308309309309308309308308308307307307307308307307307306306305306306306305304305304304304302303304303304303304304303303304303303303303303304304305303305304305305305305305305305304305305305305305305306306306306307307306305305306306305305305306306305306306306306305305304305304304304304304304304303304303303303303303302303303302303303302302302303302302302303303303302302303303303303304304304303304304304304304304304303303304303303305304305305305304303302301302301301301301301301302302301301301300300300300300299299299299298299298297297297298297295298294295296297296298300297297296295295296297297296296295295297296297297298297297297297297296295297296295297296296295294295295293294294294294293295294294290289291291291292291291292291290290291291292292293293293294294294295295295294294294294293294293293293292293292291291291290291292291292293293293294294294294294294295295294295295295295296296296295295295295294294294294294294294294294294294294294294294293293294294294294294294293293293292293292292292291292292292292293294294294294294294294293294293294294294293293293294294294294294295294295295295295295295296296296296295295295295295295295295294294295295295295295295294295294294294293293293293293293292292293293293293292292292291291291290290290290290290290290290290289290290290290290290291291290290290290290290289290290289289288287287287287287287287287287287287286287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312310311312313312313313315316317315316316316315314314313314314314313313313312312312312311311311310310309309309310309309309308307307308308308308308308308307306306307307306306306306306306306306306306306305305305305305305305305306306305306304303304304305306305306306306306306307307307307307307307308308307308308307307307307306306306306306305305304303304999999307309309308999999999999999999999999999999999999999999999999306305307308310308310310310310310309308309309308308308309309309308307308308308309308308309307308308306306306305306306305305305305304305306306306306305306306305305305305305305305305306305304305305305305305305305305306306306306305305305305305306306306306306306305306306306306307307306307307307308307308308308309309308307308308308308308308308308309309309309309308308309309309309308308308309308308308307307307307308307307307307306306306306306306305305304304304304305304304305303304304303302303303303303304304305304305304305305305305305306305305305304305305305305305305305306305306306306306306306306306306306306306306306305304305304305304305304304304304303304304304304304304303303303303303304304302302302303303303302302302302303303303304303303304304303302304303303304304304304303303303303304304304304304304305306303303302302302302301302301302301302302301300302301300300299299297299299299299298299298298297299297296296296296298298297298299301297297297297296298299299296296296298297298298298298298298298297297298297297296296297297296295296295295293295294295294294291292292294291294293291291291291291290291291291292293294294293294293295295295295295295294295293295294294293292292292291292292291291291292292292293293294294294293294294294294295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294293293293293293293292292292292293293293293293294293293294294294293294293293293294294293293293293293294294294294294294294294294294294296295296295295296295295295295295295295295295295295295295295295295294294294294293293293293293293293293293293293293292292292292291291291291290290290290290289289290289290290290290290290290290290290289289289289289289289288288287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310310310311312313313315317317317316316315314314314314315314314313313313313312312312311311310310309309309309309309309308308308309307308307308307307307306306306306306306306306305306305305305305305305305306305305306305305305304305305305304304305304305305305306305306306306306307307307307307307307308307307307306307307307306306305306306305304304303303999999999311311999999999999999999999999999999999999999999307306305304306308308309309310310310310310310309309309308308308309309309308308308308308308308308308309308308308306306306305306307304305305304305306306305306305306306306306304305305304305305305305305305305305305305305304305305305306306305305305305305306306306305306305305305305306306306307307307307307307307307307308308308308308307308308307307308308309309309309308309309308309309308308309308308308308308309308308308307308307306306307306307307307306305305304304304304304304304304304304304305304304304304304304305304304305304305305305305306305306305305305305305304305305305305305305305306306306306306306306306306306306306305306305305304306305305305305304304304303303303305305304303304303303303303302303302301302302302302302302302302302302303303303303304304303302304303303303303304304303303303303304305304303304305304304305303303303303303302302301302303302301302302300299300299300300299299298299297297298297295296296296296296296296297296299298299299299298296297297296298299297299297298299299297298299298299298299298299296296297297296296294297294297297292291294296294294293291292293293290292292292292292291291291291292291292293293293294294295295295295295295294294295295294294293293292293293292291292292292292292293293293294293294293294294294294294294295295295296295295295295295296295295295295295295294295294294294294294294294294294294295294295295294294293293293293293293292292292292293293293293293294294294295294294294294294294294293293293293293293293293293293293293293293293294294294294295295296296296296295295295295295295296295295296295295295295294294294294293293293293293293293293293293293293293292292292292291291291290290290289290290289289289289289290290290291290290290289289290289289289289289289289288288288288287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309309310311312313314316315315316315314315315315314314314314313313312312312311311310310310310310309309309309309309309308308308308308308307307307306306306307306306306306305305305305305305305304305306305305306306306305305305306305305305305305305305305306306306306307307307307307307306306307307307306306306306306307307306306305305306305304303304304999999999999999999999999999999999999999999999999999999305306307306305307309309309309309309309310311311311310311309309309308309309308306306306307308308308309309309309308307306305305306304306305305304306306305305306306306306306306305305306305304304305305305304305305305305305305305306306306306305305305305305305306306306305305305306305306306306306306306306307307307306307307308308308307308309309307308308309309309308308309309309308308308307308308308308307306307307308308307307307306306306306307307307306306306305305305304304304305304304305305305305305304304304304305305304304304304305305305305305305306305305305305304305304305305305305306306306306306305306306306306307307306306306305305305306305305305304304304304304304305304304304304303303304304304303302303303302303303302303302302302302302302303303303303303303303303303302303303303303303303303303303303303303303304305304304305303303301302302301303302301303302301301301301300299299298299300299298298297297298297296295296296296296297295296297300299299300297298298298297299299300300300299298299298298299299299299299298298298298298296298296299297298298298297295294292294295295294293293293293291293294292291293290290290291291293292292295293294294295295295295295295294294295295294294293294293293292291292292292292292292293293293293294294294294294295295294295295296295296296296296296296296296296295295295295295295295295294295295295294295295295295295295295295294294294293294293293293292292292293294294293294294294294295294294294294294294294294294293293293293293293293293293293293293293293293294294294295295295295295295295295295295294294294295295295295295294295294294294293293292293293292292292293293293293293293292292293292291291290290290290289289290289289289290290290291290290290290290289289289289289289289289289288288288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311310310313313315314315315315315315316316316315314314314313313312312311311311311311310310310310309308309309308308307307307308307307307306306306306306306306305306305305305305305305305306305305305305305306305306305306306306306305306305305305305306307307306305306306307307306307307306306306307306307306306307307307307306306305305305305304303304303304999999999999999999999999999999999999999999999999305304306306306307308309309310310310309308309310311310310310310310310309309308308307307307307308309309309309308309309307306306306305305304305306307306305305307306306307306306304306306306305305305304304304303304305305305305305305306306305306305306306305305305305306306305305306305306305306306306306306306306306307306306307308308308309309308308307308308308308309308308308308308308308307308307308308307307307307307307306307307306306306307307306306306306306306305305305304305304305304304304304305304304304305305305305305304304305305305305305305305306305305305305304304304305305305305305304306307306306306306306306306306307306306306305305306305305304305304305304305304304305304305304304303304304305304303304303303303304302303302302302302302303302302303303303304303304304304303303303303303303304304303303302303304304305303303304304303304302302301300302301300301301301301301301300300299300299298297297297298298298297297297297297298297296296296297298299300300298298298297299300298299301300299299298299300299300300299300299298300299299298299298300298299300298296298295294293293294294295295292293295296293291293293294291291291291293293293294294295295295296295296295295295294294295295294293294294294293292292292292292293293293294293294294294294294295295295296295296296296296296297297296296296296295295295295295295295295294295295295295295296295295295295295294295294294294293293293293293292292292293293293293294294293294294294294294294294294294294294293293293292293292292293292292292292293293293293293294294294294294295295295295295295294295295295295295295295294294294294294293293293293292292292292293293293293293293293292292292292291291290290290290290290290289290290290290290290290290290290289289289289289289289289289289288288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309311313314314314314315316317317316316315314314313313312313312311311311310311310310310310309309309309309308308308307307308307306306305306306306306305306306305305305304304305305305305305304304304305305305305305305304305305306305305306306304305305306305305306305305306306306306306305306306306306306306306306306305306305305305304304304303303301303999999999999999999999999999999999999999999999999999305306307307309308309309310310309309309310310310310310311311311310310309309309309308308308309308307307308309309308308307306306306306307307308306306306306306305306305306305306306306306306306305304304305304304305305305305305305305306305306306306306306305306306306306305307307306305307306306306306306306306306306306307307308308308308309307308308308308308308308309309308308308308308308308307307307307307307307307307306306306307306307307307306307307306306306306305304304305305305304304304304304305304305305305305305305305304306306306305305305305306305304304305304304304304305305305305305306306306306306306306306306306306306306306306305306305305305305304306304305305304304304304304304304304304305304304304303303303303303303303302302302303303303303303302304304304305304303303303302302302303304304304303304303304304304304302303303303303303302301302301301301301302302302302301301300300298299299298299299299297298298298298297297296297296298297298300299302301300300299299300300300300302301300299299300300300299301299298301299300300300300300300298298298297298299297296295294295295295295296294293295296295292293293293292292291292292293292295295296295295296296295295295294295295295295294294294294293292292292292291292291292293293293293294294294293295295295295295296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295295295294294293293293294294293293293293293293293293293293294294294294294294294294294294295295295294293293293293292292292291291292291292293293293293293294294294294294294294294295295294295295295295295295295295295294294294294293293293292292292292292293293293293293292292292292292291291291290290290290290290290290290290290290290290290290290289289289289289289289289289289288288288288288288288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311313315314314315316316317316316315315314314314313312311311311311310310310309309309309309308309309308308308308307307307306306305305305305305305305305306305304304304304304304304304304304304304305305305305305305305305305305304305305305305305305305305305306305306306307306306306306305306306306306307306306306306305304304305303303303302301301302999999999999999999999999999999999999999999999999999304306307307307309310310309309309309309309309309309310311311311311311310309309308309308309308308307308308309309309308307307306306307306305304305305306306306305306306306306306306307303304304304305303304304305304304305305305305305305305305306306306306305306306306306306306306306307307306307306306305306306306306306306307308308307307308307307307308308308308308308308309308308307307308307307307307307307307307307307307307307306307307307307307306306306306306306305306306306306306305305304304305306305305306305305305305306306306306305306306306306306306305304304304305305305305305305305306305306306306306307306306306307306306306306306305304305304305305305306305306305305304305305305305305305305305304305304304304304303303303303302303303303303303303303302303304304303303303302302302302302302303304304303303304304304303302302302303301302302302301301301301301301302302302302301300300299299298298298300300299298298296296297296298297297296298298297297299299301300300300299301300300299301301301300300301300299299299298300298300300300298300298300298298298299296297297297295295295296296294294296296296296295296295292292293294293292293294293294295296295295295296295295295295295295295295294294294294294293293292293292293293293293293294293294293294294294295295295295296296296296296296296296296295296295296295295295296295295295295295295295295295295295295295295295295294293293294294293293293293293293293293293294294294293294294293294294294295295295295295294293293293293293293292292292292291292292293293293294294294293294294294294294294294295295295295295295295295295295295294294294293293293292292292292292292293293293293293292292292292292291291291291290290290290290290290290290290290290290290289290289289289289289289289289289289288288288288288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999313314313313313315315315315315315315313313313312312311311310309309310310309309309308308308309308307307307307307306306306305305305305305305305305305305305305304304304303303303303304304304304304304305305305305305306306305304306306305305305306306306305305305305306305305306306305305306306305306306305305305305304304303303303302302301301300299999999999999999999999999999999999999999999999999306306307307307307309309308308308309309309309309309309309309309309310310309310309309309309309308308308308309308309309309308307307307305304303304305305305305306306306306306306306306304304304303304303303304304304304304304304305304305304305305306305306306305305305305305306306306306306306306306306305305305305306306306306306307307307307306307306307307307307307307308308307307307307307307307307306306306307307307306305306306307306307307307306306307306306307307306305306306306306306305305305305305306306306306305306305306305305306306307306306306306305305305304305305303304304305304305305305306306306307305306307306306306306305304305304305305305305304304306305304304304304305305305304305305305304304304304304304305303304303303303302303303303304303302302302303303303303303303302302302302301301302304303303303304304304303301301301302302301301301301300301300301301301301301302301300300299299297298299299299299299296295295295295297298298299299299299298298300302302303302300301300300301301301301301300299299300299300299299299299300298298300301299299300299299298296298297297294293298296295296296294294296293293295293293294293294291293292293294295296296295296295296295296295295295295294294294294294294293293293292292292293293294293294294294294294294294294295295295296296296296296296296296296295296296296296295295297295294295295295295295295295295294295294294294294294294293293293294293293293293293293293293293293293293293293294294294294295294295295295294293293293292293292292292292292292292292292292293293293294293294294294294294294294294294294295295295295295295295295294294293293293293292292292292292292293293293293293293293292292292292292291291291291291291290290290290290290291291290290290290289289289289289289289289289289289288288288288288288288288288288287287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999312312311311314315315315315315314314312312312312311311310309309309309309308309308308308308308307307307307306306306306305305305305306305305305305305305305304304303303303303303304303304304304304304305305305306306305306306306305306306306305305306306305304305304304304305304304305305304305306305304304305305304304303303302302301300300299298999999999999999999999999999999999999999999999999307308307307309309308308308308308309310309309309310310309310310310310309309309309308308308308308308308309309309309308309308308307306306305306306305306305306307306306306306305305305303302303304303304302304304304304304304304304305305305305305305305306306306306306305306306306306305305306305305305305305305305306306306306306306306306306306306306307306306307307307307307306307306307307307307307306307307307306307306305306306307306307307307307307307307306307307305305306306305305305306305305306306306306306306306306306306306306307306306307307306305305304305305305305304304304305305305305305306305306305306306306306306305306304304304304303303305304304304305305304305304305305305305305304304304305305304303303304304305303303303303303303303303303303303303302303303303302302302302302302302302302302302303303303302302303301301301301302301302301302301301301301301300300301301301300300299299298298298298299299299298297296295295295298299299299301301300300298300301302302299300300300300301302302301301300299300300299300299299299299300299300300300300300299300299298296297297297295295294296294294295295294295294292294294292292294294294293294294294295296297296296297297295295296295296295294294294293295293293292292293293293293293293294295294294294295294294295295295296296296296296296296296296296296296296296296296296295295295295295295295294294296294294294294294295294293294293293293293293293293292293293293293293293293293293293294294294294294294294294294293293293292292292293292292292292292292292292292293293292293293294294294294294294294294294294294294295295295295295295294294294294293293293292292292293292293292292293293293293293293292292292292291291291290290290290290290290290290291290290290290289289289289289289289289289289289289289289288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310309311312314314315315315314313312312311311310310310309309309309308308308308308308308308308307307307307306306306306306305305305305305305305305305304304303303304303304304304303304304305305304304305305305305306304305306305307306305306306306305305304304304303304304303303304304304304305306305305305305304304303303302301300299299298296999999999999999999999999999999999999999999999302306308308309309309308309308308308308309308308309308308308309310310309309309308309309308308307308309309308308308309309308308307307307307305305307306306306306307306306306306305305305303302303304303303303303303304304304304304305305304305305305305305305305305306306305306306306305305305305305305304304305305306305305305305305306306306306306307306306306305306306307306306306306306307307307306307307306306306306306306306306306306306306306306307306306305306307306305305306306304306306306306306306306306305305306306306306306305306306308307307307306305305305305305305305304303304304304304304304305305305304306305305304305306305304304304304304304304305304304304305305305305305305304304304304304305305305304305304304304304303304302302302301302303303303303302303302303303302302302301302302302302302302301302302302302302301302302302302302301301301301301301301300301301302301301300300300299299299298299298299299299299297297296298297297298299299301301300300299301300300302302302303301301301301302301300300301301300300300300300299300300299299299300299301300300298299296297298297296295295295295296294295294295295295294295294295295295295294294295294296296297295296296296295295295296295295294293293294294293293293292293293293293294294294294294294294295295295295295296296296296296296297297296296296296296295296296296296296296296296295295295294294295295294294295294294294294293293293293293293293293293292293293293293293293293293293294294294294294294294294294294293293293293292292292292292292292292292292292292293293293293294294294294294294295294294295294295295295295295295295294294294294293293293292293292292293293293293293293293294293294293293292292292292291291291290290290290290291291291291290290289289289289289289289289289289289289289289288288289288288288288288288288287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308309312314315315314314313312312312311310309309309308308308308308308308308308308308308308307307307307306306306306306306306305305305305305306306305304304304304303304304303303304304304305305304304305306306305305306305306304305306306306305304304304304303303303303302303304305305304305304304305305305305304303303302301300299298295296296999999999999999999999999999999999999999999303306308310309310308308307308308309307308307308308307307308308308308308308308308308310308308308309310309310309310309309308308308307307308307307307306306306306307306305306305304304302301303305304304305304303304304304304303304304304304304304305305305305306306306305304306306305305305304305305304304304304304305305305305305305305306305305306306306306306306306306306306306305306306306306306306307306306306307306307306307306306306306305307306305305305305305305306305306306306306306306306306306306306306305306306306306305305307307307308308307307306305305305305305304304304304304305304305305305305305305305306305305305305305305305304304304305305305305305305304305305305305305304304304304304305305305304305304304304303304303304302302301301301302303303303303302302303303302302302302302301301301302302301300303302302301301302301302302302301301302301301301301301301300300301301300299299299299299299299298298299298297298296297298298299298299299300300301301301299300301300302303303301299300301301301301301300300300301301301301301300300300300300300300300301300301299298298296295297296295295295294295295295295296295294294294295294296295295295295295295296295295295296295295296296295295295295294293293294294293293293293294293293294295294294294294295295295295295295296296296296296296296296296296296296297296296296296295295296295295295295295295295296295295295295295294294293293293293294293293294293294293293293293293293293292293294293293294294294294293293294294294293293293293292292292292292292292292292292293293293293293294294294294294294295295294295295295295295296296296295295295294294293293293293293293293293293293293293293293294293293293293293293293292291291291290290290290290291291291290290289289289289289289289289289289289289289289289288288288288288288288288288287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309310311314315314313313313312311311309309308308308307307307307307308308308308308308308308307307307307306306306306306306306305305305305305305305305305304304305303304304304305304305305304305304305305306305304304305305306306305306306305305305304304304303303303303303303304304304304305305304305305305305304303304303302300300299298299298999999999999999999999999999999999999999999999305308309309309308306307307308308307308307308307307307307308308307308308308308308309310308308309309310310309309310309308308307306307307306306305305306305304304305305305304304303303303303304304303303302303305304304303304304304304304304305305305305305306306305305305306305305305304304304304304303304304304304305305305305305305306306305305305306306306305306306306306306306306306306306306306306306306306306306306307306306306307307306306305305305304305305305306306305305305306305306306306306306306306306306306306306306306307307307308307307307305304305305305305304305305304305305304305305305304305305305306306306306305304305304304305305305305305305305305305305305304305305305305305304304304305305304305306305304304304304303303301301999302302302302303302303302303303302302303302302301301301301301301301302302301302301301302301301302301301301301301300300300300300300300300300299300300300299299299298299299299298299299296298298299299301301301302301302301301301302301300302301302299301301301299300301301299300301301300301301301301300300301300300300300300300300299299297297298297296296295295296296295296296296295294295295295294296296296295295295296295295295296295295296296296296295295294294294295294294294293293294293294294294295295295295295296296295296296296296296297296296296296296296295296296297297297296296296296296295295295295295295295295295295294294295294294294293293294294293293293294294293293293293293293293293293293293293293294294294295294294294294294294293293293292292292292292292292293293293293293293294294294294294294294295294294295295295295295295295295295294294294294293293293293293292293293293293293293293293293293293293293292292292292291291291291290290291291291291290290290289289289289289289289289289289289289289289288288288288288288288287288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308310312313311311311310310310309307306307306306305305305305304305305306307307307307307307306306306306306306306306306305305305305305304305305305305304304304302304303305304304304304304304304305305305304304305306305307305306306305305304304304304303303303303303302302302304304304304305305304305305305304304304303302300300299299299299297999999999999999999999999999999999999999999305307308309307305306307308307308308308308307307307307307307308308308308309309309309309309309309309310310309310309309309309308307306306307305305305305305305303304304305305305306305305304304304304303302305304303304304304304304304305304304304304306306306306306305306305306306305305304304304304303303303304304305305305305305305306305304305305305305305305306306306306306306306306306306306306306306306306306306306306306306307306307306305304304305305305305305305305305305305305305305305306306306306306306306306305305306306306307307307307307306304304305305305304305304305305305305305304305305305305306305306306306306305304305305304305305306306305305305305306305305305305304305305305304305305305305305305305305304304303303304302301301300302302303303303302303302303303302302301302302302301301301300301301300301300301301301301301301301301301300300301300300300300301300300300300300301300300300300300300300300300299299299299299300300301300299301303300302301302303301301302301301301300301300301300301301301300301300301299301301301301301299300300301301300301300299299298298297297298298297295296297296296296294295295295296296296296296296295295295295295296297296296295296296296297296296294294294293295293294294294294295295294294294294295296296296296296296296297297297296297297297297296296296295297297297296296296296296296296296296295295295296295295295295295295295294294294294294294294294294294294293293293293293293293293293293293293293294294294294294293294294293293293293293293292292292292292292292293293293293293293293294294294294294294294294293294294295295295296295295295294294294294293294293293293293293293293293293293293293293293293293293293293292292291291291291290290291291291291291290290290289289289289289289289289289289289289288288288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304307308309311311310310309309308308307306306306305304304304304303303303303304304305306306306306306305305305305305305305304304304304305304303304304304304304304303303304303304305304303304303304304304304304305305305305304305305305305304304305304304303303303302302303303302304304304304302305305305305305304304304303302301301301300300298297999999999999999999999999999999999999999999999306309999999303306308309308308309308308307307307308307308308309309309308308309309309309309309309310310310309309308310309307307307306307307305304304305305303303304305305305305306304305304305305302303303302305304304303304304305305305305305305306305305306306306306306305305304305304303304304303303304304305305305305304304305305305304305305305305305306306306306306306306306306306306306306306306306306306306306306306306306305306305305304305305305305305304305305305305305305305306306306305306306306306306306306306306306306306306307307306306305304304304305305305305305305305305305305305305305306306305306305306305305305304304304305305305305305305305305305305306305306305305305304305305305305305305305304304304304304303302302301301301302302303302302303302302302302302302301302302301301301302301301300301300301301301300301301300300301301301300301301301301301302301300301301301301300301300301301300300300300300300300299299300300301300300299300302301302303303301299301302302301300301300299300300300300301300301299299300301301301301301300300301301299300301300300299297297296298298298297297298298298298296296296295297297296297297297297296296296296296296297297297296297296296296296296295295294294294294293294293294295294294294294296295295296297296296296297297297296296297297297296296296295296296295295295296296296296296296295295295295295295294294294294294294294294294294294294294294294293294293293293293293292292292293292293293293293293293293293293293293293293292293293292292292292292292293293293293293293293293294294294294294294294294294293294294295295295295295295295294294294294294294293293293293293292293293293293293293293293293293293293293292291292292291291291291291291291291291290290290289289289289289289289289289289289289288288288288288288288288287288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307308310310309309308307307307305305305304305304304304303303303303302302302303303304304304305305305305305304304304304304303304304304304304304303304304304303303303304304304304304303303303303303304304304305305306305303304305304305304304303303303303302302302302302303304304304305304305304305305304304303303303302302302301301301300299999999999999999999999999999999999999999999999305306306999303307306305307307307307308307307307308307308309308308309308309309309309309309309309309310311309312309310309308308308307307305304306306305305304305304305305305306306304304304304304304303301300303304304304305305304305305305306305306305305305306306306305305305305305304304304303304304304304304304304305305305305305305305305304305305305306305306306306305305305306306306306306306305305305306306306307306306306305306305305305305305305305305305305305305306305305306306306306307306306306306307307306306306305306306306306307306305306304304306306305305305305305305305305305304305306306306305305306305305305305305305305305305305305305305306305305305305306306305305305305305306305305305306305305304304304303303302302301301302303304303302303303303303303303302302302302302302301302301301302301302301301301301301301302301301301302302302302301301302301302301301302301301302301302301301301300300300300300300300300300301300302301300301301302300303302302303302303304302299301300300301300300300300301301301299299300300300301301301301301299299300300299300300299298298298297299300298297297297297298296297297297297297296296297296297296295295296295295296296297297297296296295294293295295295294293295294294295295295294294295295295295295296296296296296296296296297297297297296296296296296295296296296296296296296295295296296295295295295295295294294295294294293294294294294293294294293294293293293292293292292292292292292293293293293293293293293293293293292292292292292292292292293293292293293293293293293294294294294294294294294294294294294294294295295295295295295295294294294294294293293293293293293293293293293293293293293293293293293293292292292291292291292291291291291291291291290290290289289289289289289289289289289289289288288288288288288288288287288287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306307309309308308306307306305304304304303303304304304304302303302302301301301302302303303303304303304304304304304304303303303303303304303304304304304303303302304304303304303304303304303303302303304304304305306303304304305304304304303303303303303302302302302303303303304303304304304304305305304304303303303302302302302302301300301301302999999309309308999999999999999999999999999306307999303304304303305305307307307307305307307308308308309309308309309308309309309309309310310309309310310309309309309308308307307307304306304303304305305305306305305305305304303304304302302303303301303303303304304305304305305305305305304305305306306305305305305304304304304303303303303305304305304304304305304304304305305304304304305305305305305306306305305305305305306306306305305305305305306306306305305306306305306305304304305305305305304304304304304306306305305306306306307306306306306306306307305305305305305306306306306306306305305305307306305305305305305306306306305306306306306305305305305304304305304304306305305305306305305305305305306306306306305305306306306306306306306305304304304304304303302301301302302303303304303304303303303304302302301301302302301301301301300300301301302301301300301301301301302301301301302302301301302301301301302302301302301300301301301300301300300301300300301300299300301300301301301300300300299300300301302301300300299299300299299299299300299300300300300299299300300300300300300300300301301299301300299300300298299298298299299298298299299297297298298297298298297296297297297297296297297296295296295295297297297296296296296294296294295294294295295295294294295295294295295295296295296296296296296296297297297297297297296296296296296296297296296296295296296295295295295296295296295295294294295295295294294294294293294294293293293294293293292292293293292292292292292292292293293293292293293292292293292292292292292292292292293293293293292293293293293293294294294294294294294293294294294294294295295295295295295294294294294294294294293293293293293293293293293293293293293293293293293292292292292291292292291291291291291291291290290290290289289289289290290289290289289289289289289289288288288288288288288287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306308309307308307307307306305305304304304303303303302302302301301301300300300301301301302302303303303303303303303303303302303303303303303303303303303302302302304303303303303303304303303302303303303303303304303303303304304304303303303303303303303302302302302302303303303304303304304304304304303303303303303303302303302302301301302303304999999999307308308999999999999999999999303305307999302301302304304304305305306307307308306307308308308309308309309309309309309309309311310309311310310309309308307308308308307306305307304304305305306306306306305305303303303302302302302301303301302302304304304304304304302305305305305305305305305305305304304304304304304303303303303304304304304305304304304304304304304304304304304304304304305305305305305305305305306306305305305305305305305306306305304305304305305305304304305305305304303303303303303304305305305305306306306306305306306306306306304305305304305305306304305305306306305305306305305305305305305305305305305306306305306305305304305305304304304305306305305305305305305305305305306305305305305305305305306306306305305305304304304304304303303302302302303303303303303303303303303302302301301301302302301301300301301301301300301301301300300300301301302302301301300301300301302302301301302302303302302301301301301302301301301301301301300301300300302301301300300299299300300300300300301301300299299300299298298299299300299300300300300298300300301301300301301301301300299299300300300301299299299299299299299300299299299298298299298298298298297298297297298298297297297296297295295296297297296297297295297297296295296295296296295295295295295296295296296296296296296296296296297297297297296297296297297296295295296296296296296296296296296296295296296295296295296295295295294294295294293293294293293293293293293293293293293293293293292292292293292292292293293295293292293292292292292292292293293292293293293293293293293293293293294294294294294294294294293294293294294294294294295295295295294294294294294293294294293293293293293294294293293293293293293293293293293293292292292292292292292292292292292291291290290290290290289289289289289290290289289289289289288288288288288288288287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305306308308308308307307306305305304303303303303302302302301301300300300299300300300300300301301302302302302303303302302302303303303302304303304302303302303302302302303303303304303303302302303303303303303303303303302303303303302302302302302303302302302302302303303303304304304304303304303303303303304303303303302302302302302301302302303302999999308306306308999999999999999999303305305304302303303303304305304305305307308308308308308309308308309308308309308309309309310310310310310309308309307307308308306307307305305306306305305305306306306306304303302303303303303303302302303303303305305305305304304303303304304305305306305304304305305305305304304304303303303303303304304304304304304304304304304304304304305304304304304304305305304305305305305305306305305306305305305305305305305304304305305305305305304304305304305303303303303303305305304304304305305306305306306306306306305305305304304304304304305305305304305305305305305305306306306306305305306305305305306305306305305304305305304304305305305305305306306306305306306306305305305305305306306305306305305304305305305304304304304304303303302303303303303303302303303304303303302302302301302302301301300301301300300300301301302301301300301302302302301301301302300301301302301301302303302302301301301301301302302301302302301301301301302302302301301301300299300300300300300300300300301301300300299299299299299298298299299298299298299299300301301300300302302301301301301301300301299299299299298298299299299299299298298298298298298298296298298297297297296297297296295296295296296296296296296295296296296295294296296296296296296297296297297297297296296296296296296296296297297296296296297297297297297296296295296296296296296295295295295296296295296296296295295295295296295295294294294294294293294293294293293294294293293293293293292293292292292293293293292292292292292292292292292293293293293293294293294294294294294294294294294294294294294294294294294294294294294295295295295294294294294294294294294293293294293293293294293293293293293293293293293293292293292292292292292292292292291291291291290290290290289289289289289289289289289289289289289288288288288288287287287287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303306308308308308308308307305305303303303303303302302301301300300300299299299299299300300300301300301302302303303302302302303303303303303303303302302302301301302302302303303302303303303301303303303303303302303303302303303303303302303303302302302302301301302302303303303304303303303303303303302303303303302302302302303303302302302303302302999999306305304999999999999999999999300302304304303303303303303303303305306309308309308309308309309309309309308308309310310310309310310309309308308308307308308307307307306306305306306305305306306307306305305302303303302303303303303302303303302304304305305305304304304304304305305305305304304304303304304304304303303303303303303303303303303304304304304304304304304304304304304303304304304305305304305304304304305305305305304305305305305305305304305305304304304304304304304304304303303303303303304304304304304304305305305306305305305305305305305305304304304304305305305305304305305304305305305306307306305305305305305305304305304304304304304304304304304305305305305305306306306305305306306305305306305306305306305304305304305305304304304305304304303304303303303303303303304303303303303303303302302302302301301301301301301300300300301301301301301300300300301302301301301302301301301302301301302302301302301302301301302302302301302302302301302301300301301302302299299300300300300300299300301300301301301301300299299299299298298298298297297298299299299300300300300301301301301301301301301301300300299299299298299299299299299299299299299299299299298298298298297297297298298297295296296296296296296295296296296296297296296296297296296297297297298298297297297297297297296296296296296297296297297297296296296297297297296296296297296296296295296296296296295296296296296296295296295296295294294294294294294294294294294294294294294293293293293293292293293293292293293293293293293293292292292292293293293293293294294293294294294294294294294294294294294294294294293293294293294293294294294294294294294294294293293293293293293293293293293293293293293293293293293293292292293292292292292292292292292291291291291291290290290290290290289289289289289289289289289289288288288288288287287287287286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303306307308308309308306305305304303303302301302301300300299299299299298298298298298299299299300300301301302301301301302303302302302302302302302300300301301301302302302302303303303302303302303303303303303302303302303303302302302302302302302302301301301302302303303303303303303303303303303302303303302303303303303302302302302302303302303303303304305999999999999999999999999999301304303303303303304304302303305307308308308308308308309310309310310309309309310311310310309310311308309308307308308307308308308307307305306306306306305306305304304304303303303303303303303303303302301302304304304304304305305304304304305304304304304304304303303304304304303304304303303303303303303304304304304305304304305304304303304304304304304304304304304303304304304305305304305305305305304304304304304304305303303303304304304304304304303302303303303303303303304304303304304305305305304304304305305304304305305304304306306306305305304304304304305306306304305305305305305305304304305304304304304304304304304305305305304305305306305305305306306306305305305305306306306306305304305305304305304304304304303303303303303302303303304303303302303303303301302302303302302302301301301301301301301301301301301299300300300300301301301301302301302301302302302302302301301302301301302302301302302301302302301301301301301302302301300300300299300300301301301301301300300301301301300300299299298298299298297298298299299299299300301301302302301302301301299301301300300299299298299299298299299299299299299299299299299298299298298298298298298297297296298297297296297296296295297296296297298298298297297298298299298299298298298298298298297297297297297297297296297297297298297297296297297296296296297297296296296295296296296296296296296296296296295295295295295294295294294294294294294294294294294293293293293293293292292292292292292292292292292292292292292292292292293293293293293293293293293293293294294294294294294294294293293293293293293293293293294294294294294293294293293293293293293293293293293293293293292292292293293293292293293292292292292292292292292292292292291291291290290290290290290290289289289289289289289289289288288288288288287287287287286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304306307307307307306306306305303303302301301300300299298298298298298297297297297297298298299299300301301301300300301301301301301301301301301299301300300300301301301301302302302303303303303302302302302302303302302302302302301301301301301301301300301301302303303302302302302302302302303302302301302302302303302303302302303302302303303303302303999999999999999999999999999999301302305304305302302999999999999307306308307309308309309310311310310310309310311311312310310311310309309306306306308307307308308308307306307306305306305304304305304303304303303303303303303303303303303302303303305304305305304304304304305303304304305304304303303303304304304304304303303303303303304304304304304304304304304304304304303303304303304303304304304303304304304304304305304305304305304304304304304303303303303303304304304304303302303303303302302303303304304304303304303304304304304304305305305304304306305304304305305305304304304304304304304304305305305305305305305305304304304304305304304303304304304304305305304305306306306305305305305305305306306306306306306306305305305304304304304303303303302301302303302303304303303303303303302302302302302301301302302302301302302301301301301301301301301300300301300300301301301301301301302302302302302302302302302302301301301301302301301301301301301301301301301301302300300300300300300301301301301301301300300300300299299299300300300299299298298298298298298298299300300302302301301301301302301301300299301299299299299298298299299298298299298299298299299299299299298298298297299298297296296298298295297296297297298298296297297298298298297298298298298298300298299298298297298297297297297297297296296296297297297297296297296297296295296297296296296296296296295296295295296295295295295295295294295295294295294294294294293294294294294293293293293293293292292292292292292292292292292292292292292292292292293293293293293293293294293294294294294294294294294294294294294293294294293293293294294294294294294294294294293293293293293292293293293293293292292292292292292292292292292293292292292292292292291291291291291291290290290290290290290289289289289289289289289289289288288288287287287287287286286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300304306307307307308307306306305304302302301301300300299298298298297297297297297297298298298298299300300299300300300301302301300300300300300300298298300300299300300301301301301302302302302303303302301301302302301300301302301300301301301300300301301301301302302302301301302302301302302301301302300301301301301302302302301302302302301302303302999999999999999999999999999999999300300302302303301999999999999999999305306307307307308309310311310310309308309311312310310310310309309308306305306307307308308308308308306306306306305304304304304304303303303303303303303303303303303303303304304305305304304305305305304304304304304304303303303303303303304304304303303303304303303303304303303304303304304304304304304304303303303304304304304304303303304304304304304304304304304304304304304304303302303303304303304304303303301302303303303302303303303303303303304303304304304304304305305305304306305305304305305304304305304304304304304304304304304304304304304304304304304304304305305304304304304305305305304304305305305305306306306305305306306306306306306306306305305305303304303302304304302301301303303302303302302302304303303302302302303302301302302302301301302302301301301302302301300300301300301300300300301301300301301302302302302302302302302301302301301301302302301301301301301300301301301300300301299300301300300300300300300301301301300300300300299299300301301300300299298299299299299298298298298300300301301301301301300300300299299300301297297298298298299298299298299298298298298299299299298298298297298298297298297297297298297296296298298298298297296297297297297297298297298298298298298298297298297297297297297296296296296296296297297297297296297295296296296296296296296296296296296296296296296295295295296295295295294295295294294294295294294294294294294294294294294294294293292292292292292292292292292292292292292292292292293293293293293293293293293293294294294294294294294294294294293294293293293293293293294294294294293293293293293293293293292293292292293293292292292292292292292292292292292292292292292292292292291291291291291291291290290290290290290290290290289289289289289289289288288288288287287287287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302304306307308308307307306305304303301301301300299298297297297297297297297297297297298297298298298298298299300300300299299299299298299299299298299299298299299300300300300300301301301300302303302302301301301302301299301301301301301301301301301300301302302303302302301301302301302303302302302302302301301302302302302301301301301301302302300999999999999999999999999999999999999300301304303999999999999999999999999308306307307308309310310310310308309308310310310308309309309308307306305306307306307308308307307306306304304306305305305305304304305305304304303303302303303303304304304305305305304304305305304304304304304303303302303303303303303303303303303303303303303303303303303303303303303303303304303303303303303303303303303303303303302303303304303304303304304304303303303303303302302302303304303303302302303303303302303303303303303303302302303303303302304304303304304304303303303304304305305305303304304304304303303303303303304304304304304303304304304304303304305305304304304305305304304304303304305305305305305305305305305305305305305306305305304303305303303303302302301301301301302302300301302302303302302302302302302302302301302302302302301302302302301301302301301301301301300300300300299300300301301301302302302302301302302302302301301302301301301301300300300301301301301301300301300299300301300299300300300301301301301301301300300301301302301301301300300300300299298298299299300300300300301300300301300299299299300300299300299298299298298299299300299299298299298298298299298298297299298298298297298297297297298297297297297298298297297297297297297297297298298298298298298298298297298298298298297297297297297297297297297297297297297297296296296296297297296297296296296296296296296296295296296296296295296295295295295295295295295294294294294294294294294294294294293293293293293293292292293292292292292292292292292293293293293293293293293294293294294293294294294294293293293293293293293293293293293294294294293293293293293293293292292292292292292293292292292292292292292292292292292292292292291292291292291291291291291291291291290290290290290290290290289289289289289289289288288288288288288287287287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299303306307307307307307306306305303302301301300299298297297296296297297297297297297297298297298298298299299299298299299299298297297297298297297297298298298298298299299300300300300300301301301302301299301301301301300301301301300301301301301301301302302302302302302302301302301302303302302302302301301301301301301301300301301300300301301300999999999999999999999999999999999999999999301302999999999999999999999999999306309999306308309310308309309999999308308308309309308306307307305306306307307307307307307307307304304306307304305305305304304304304304304303303303303304304304306305304305305304304304304304304304303303302302302303303303303303303303302302302303303303303303303303302303303303303303303302303302302303303303303303303302303303303302303303304304303303304302303302303303302302302302301303303303302302303302303303303303303302302302302301303302302303302303303303303303303303304304304305305304304304303303303303303303303302303304304304304303303303304304304304304304304304305305305305304304305305304304304305304305305304305305305305304305305305304303303303303301300300300301301302301301302302303303302303302302302302303303302302301302301302302302302301302302301302302301301300299300300299300300301301301301302301301302302302302302302302302302301301301301300300301300301300301300301300300301300300300300300301301301301302302302302302301302302301302302301300300300299299299300299301301301300301301302302301300301301301300300299300298299299299299299298297298298298298299299299298298299298298297298298298297298297298297298297297298297296297298298296297297297298298298298298298298298298298298297297297297297297297296297297297297296297296297296297297297297297297297296296296296295295296296296296296296296296295295295295295295295295295295295295295295294294294293293294294293293293293293292293293292292292293292293293293293293293293293293294294293293294294293294294294294294294294294293293293293293293293294294294294294293293293293293293292292292292292291292292292292292292292292292291291291291291291291291291291291291291291291291291290290290290290290290290289289289289289289289288288288288288288287287287287286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300304306307308308307307307307305303302301300299299297297297296296296296296296297297297297297297298298299299299298298299298297296296296296296296296296296297298298298298299299299299300300301301301301299300300301300301302301301300300301302301301301302301302302301301301302301302302302302302302300301301301301302302301300301299299299299301301302301300999999999999999999299301302300999999999999999999304304999999999999305307999999999999999309306309999999999306307308308306305304305306306307307306307305305306306305305307307306305305305304303304304304304304303304304304303303304304304304305304304305305304304304304303302302302303302303303303302302302302302303303303303303303303303302302303303303303303303302303302302303303303303303302303303303303303303303303303303303303303303303302302302301302302303303302302302303303303303302304303302302301301301301302302302302303303303303303303303304304304305304304303304303303303303303302303303304304304304304304304303303304305304305304304304306306305305305304305305305304304304305304304305305304304305305305304304304304303303302302302301300301301302301302302302303302303302302302302302303302302302302302303303302302302302301302302301302301301301300300300300300301302302301301301301302303302302303303303303302301302301301301301301300300301301302300301300300300301300300300301301301301301301302302302302301302302301302300301301300300300300299300300300301302302302303301301301302301301299300299299298301300298299299297297298298298298298298298299300299299298298299299299298298299298298297297297296298297297297297296297297297297298298298298299299298298298298298298297297297297297296297297297297297297296297297297297297297297297297297297297297296296296296295296296296296296296296296295295295295295295295295295295295295295295294294294294294294293293293293293293293293293293293293293293293293293293293294294293293293293294294294294293294294294294294294293293293293293293294294294294293294293293293293293292292292292292292292292292292292292292291292292292291291291291291291291291291291291291291291291291290290290290290290290289289289289289289289288288288288288288288288287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301304305307307308307306307305305304302301300299298297297297296296296296296296297296296296297297298298298298298298298298296296296297296296296296296297297297298298298298298298299299300300300301300301300300300301301301301301301301301301301301301302302302302302302301301302302302302302302302301301301300301301302302302301301300999999300301302302301301299999999999999298298299300298299301999999999999304304303999999999303305999999999999999999309308999999999307307306306305304303304305304306306306306305305305306306307305305305305304303305304305305304304303303303303304303305304304304304304305305305305305304304303303302302302303303301301302302302302302302303303303303303303303303302302302303302302302302302302302302302303303303303302303303303302303303303303303303303303303303302302302302301301301302302303302303302303302302300301301301301301301302302302302302302303303302304303304303304304303303303304304303303303303303303303302303302302303303303303304303304304304305304304304305305303306305304304304305304304304304304304304305305304304304304304304304303302302300301301301299301301301301301301303302302302302302302302302302302302301302302302302302302302301302302302302302301301301300300300301300300301302301301301302302302302302303303302302302301302301302301300300300300300300300301300300299300300300300300300301301301302301301302302302302301302302302302302301301300299301301301300299300301303301301301301300301303301300301301300300299299300299299299297298298298298298298298298299299299299299299300299299299299298298298298295297296297298298297296297297298298298298298298299299299298298298299298298297297298298298297297297297297298297297297297297297297298298298298297297297297297296296296296296296296296296296296296295296295295295295294295295295295295295295295294295294294294294293293293293293293293293293293293293293293293293293294293293293293293294293294293294294293293293293293293293293293293293293293293294294293293293293293292292292292292292292292292291292292292292292292291291291292291291291291291291291291291291291291291291291290290290290290290290290289289289289289289289288288288288288288288287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300303305305306307307306306305304303302301300299297297296296296295295295296296296296297297297297297298298298297297298297295296295295296295296296296297297298298298298299299299299299298298300301299300301301299300300300300301300301301300301301301301302302302301301302301302302302301302302302302301301301302302302302302301300300299298298299302302302302300299999999299299300300299299300300299999999999303303305999999999999999999999305306308309308306999999999308307305305303303302303304306306306306305305305306306306305305304305305304305305305305305304304303303304303304303303305304304305305305305305305305305303303303302302302303302302302302301301302302303303303302303302302302303302302302303302303302302302302302302302303302302302303303303303303303304303303304303302302302302302301301301301301301302302302301301302302300300302301301302301301302301302302302301302302303303303303303304304303303303302303303303302302303302302302301301301302302302302302303303304304305304303304305305305306304304305304304304304303304304303304304304304304304303304303302302302302301301300300300299301301301300301301301301302302302302301302301301301301301301301301302302302301301301302303301300301300301301300301301301301301301301301301302301302302302302302302302302302301301301301300300300301301300301301301301301300301300301301301301302301301301301302301302302301301302302303302300301300300301301300300299301302302300301301301302300300300301300301301301300300300299300299298298299298298299299299299299299299299299299299298299299299299299300299298299298298298298298298298298298298298298298298299298299298298298298298298297298297297298297297297297297297297297297296298297298298298298298298297297297297296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295294294294294293293293293293293293293293292293293293293293293294294293294294294294294293294294294294293292293293293293293293293293293293294294294293293293293293292292292292292292292292292292292292292292292292292292291291292291291291291291291291291291291291291291291290290290290290290290290290289289289289289289288288288288288288287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296300303304306306307306306305304303302301300299297297297296296295295296296296297297297297297297297297298297297297296296295295293294295295295296296297297297297297298299299299299298298298299300300300300300300300301301300300301300301300300300301301301301302302302301301301301301301302301301301301301301301302302302301301300300299298299300301301302301302299298298299300300300300299300301300302999999999301304304999999999999999999307306307308308306999305305306306304304304303303301305305306305305305304303303305304306306305304304305305304304303304304304303303303303305305304304305305304304305305305305305304304303302302302302302303302302301301301301302302302302303303303302303303302302302302302302302303302302302302302302303303302303303303303303303303303303302302302302302302302301301301301301302302301301302302301301300300301301301301300301302301302303303303302302303302303303303304303303303303303302303302302302302302302301301301300301301302302302302303303304304304304304305305305305305304303303302303304303303303303303303303304303304303304303302302301301301300299298999298301301300300300300301303302302302301301301301300301301300301301301301301302301301301302302301301301301301300300300300300300301301301301301302302302302302302302302302301301301301301300301300301301301301301301301300301301301301301302301301301301301301301301302302302301302302303303302301301301301301302301300301301301301301301301301302302301301301301300300300301300301299300298298298298299299299299298298298298299300300300300299299299299299299298297297298298299299298298298298297298298298298298298298298298298299299299299298298298298298298298297297297297297297297297297297298298299298297297298297297297297297296296296296296297296297296296296296296296296296295295295295295295295295295295295295295295294294294293294294294294294293293293293293294293293294294294294293294294294294294294293293294293293293293293293293293293293294294294294294294294294294292293292292292292292292292292291292291292292292291292291291291291291291291291291291291291291291291291291290290290290290290290290290290289289289289289288289288288288288288288288287287287287287287287286286 999999304304305305305303304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293297301303305306306305305305305303302300299298297297297296295295295296296297297297297297297297297297297297297297296296295295295295295295296296296297297297297297298298299299299299299298298298299300300300300301301301301301301300300300301301300301301301302302301302301301300301301301301301301301301301301301301301301300301300300298999999999999999999999298298298299299300299299999999999299299301999999301303303303302301999999999999999306309308309306305306306305304305303303301301304305306305304304302301304303305306305304305306305305304304303303303303303302303303303304304304305305304305305305304304304303302302302301301301301302302301301301301302302302302302302302303302303303302302302302302302302302301301301302302302302303302303302303302303303302302302303302302302301302301301300300300300300300301301301301301302302301302301300301301301302301301302301302302302302303302303303303303303302302302302302301301301301301300300300301300300300301302301302302303303303304304305305305304304304303304303303303303303303303302303303302303303303303303302303302301301300299299999298298300300300301299300301301301301301302301301300301300300300301302302301301301301301302302301302301302301300301300300301300301301301301301301302302302301301302302302301301301301301300300301300300301302302301301301301301301300301301302301301301301300301301302302302301302303303303303302301301300301300302302301301301301300301300301301303301302301301300300300300299301301300300298299299300298300300299299299299299299299299299298300300300299300299298297298299299299299299298299299299299299299299298298298298298298298299299299299299298298298299299298298297297298298297297298298298298298298298298298298298297297297297297296296297297297297296296296296296296296296296296296296296295295295295296295295295295295294294294294294294294294294293293293293294294294293294294294293294294294294294293293293293293293293292293293293292293293294293294293293294294294293293293292292292292292292292292292292291292292292292292292292291292291291291291291291291291291291291291291291290290290290290290290290290289289289289289289289289288288288288288288288287287287287287287286286 307305305305305306306304304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293295299302303305305305305305304303301300298297297296296296295295295296296297297297297297297297297297297297296296295295294295295294294295296296297296297297297297298297298298299299298298298299298299300300300301300300300300301301300301301301301301301301302302302302301301301301301301301301301300301301301301301301301301301300300299298301999999999999999999999299298299300300299999999999298299302302999999302304303302300999999999999999306308308307307307306306305305304303303302302305304305304304303303303302303305305304304305306305305304303303303302303303303303305305305304304305305305305304305304304303303303302302302303303301301301301301301302301302302302302302302302302303302302301302302302301301301301301301301302302302302302303302302302302302302303303301301302301301301301300300300300300300300300300300300301301300300300300300301301301301302302302302302302302302302303302302302302302302301302302301301301300301300300299299300300300300301302302302301302303303304305304304305304304304304304304303303303303304303301302302302302302303302302302302301302301300299999999298300299300300300301301301301301301301301300300300300300300301302302302301301301301302301301302303302302301301301301301301300300300299301300301301302302302301302302301301301301301300301301301300301301302302302302302302302302301301301301301301302300300301301302302302303303303303304304302301301302301301302301301301302302301301300301302303302302301302300301300300300300300301300300300300301300299299299300299299300299299298298300300300300300300299298298298298299298300300299299299300299299299299298298298299298298300299299299299299298298298298299298298297297297297297297298298298298298298299299299298297297298297297297297297297297297297297297296296296296296296296296296296296296296295296296295295295295295295295294294294294294294294294293293294294294294294294294294294294293294293294293294293293293293293293293293293293293293294294294294294294294294294293293293292292292292292291292292292292292292292292292292292292292291291291292291291291291291291291291290291290290290290290290290290290289289289289289289289289288288288288288288288287287287287287287287286 307306306307306306303305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294299302303304305305304304303302300299297297297296296295295295295295296296297297297297297297297297296296296295295294294293293294294295296296295296297297298298297297298298298298298297298298297298299299300300300300301301301301301301301301301302301302302302302302302301300300301300300301300300300301301301300301301300300300299299299299999999999999999999999999301298299299299299999297298299301301999999301301301301300299999999999999999307302306306305305306306304304303304304304304304304304304304303303303304304304304304306306305305303303303303303303303303304305304305305305306305305304304304304303303303302302303302302302301301301300301302302301302302302302302302302302302302302302301301301301301301301301301301301301302302302302302302302302302302302302302302301301301301301300299300300300300299300300300300300301300299300299301301301301302302302302302303302301302302302301302301301301301301301301301300301300300300299299299300300301301301301302301301303303305305305305305304304304303304303303303303303303303303302301302302302302302302302302301302302301300299299299299299300300300300300300301300301301300300300300300300301301301301301302301301302302302301301301302302302301301301301301301301301300301301301301302301301302301302302302302302302302301301301301300301301302301302302302302302301301302302301302302301300301300301302302303304303303303304303303302302303303302302301301301301302302301301301302301301301301301301301300300301301300301300301301300300300300300299299299298299298298298299300300300299300300300299298299299298300300299299299299298299299299299298299298299299299300300300299298299299299298298298298298298297297297297297298298298298298298298298299298298298298297297298297297297297297297297297296297296296296296296296296296296296296296296296296296296296296295295295295295294294294294294294294294293294294294294294294295294294294294294294293293294293293293293294293294293293293294294294294293294293294294293293293292292292292291291292292292292292292292292292292292292292292292291291291291291291291291291291291290290290290290290290290290290289289289289289288289288288288288288288288287287287287287287287286286 999307307308307307306304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295297301303304305305304304303302299298297297297296296295295295295295295296297297297296297297296296296295295295295294294294294294295295296296296296297298298297298298298298298298298297298298298298299299299299300300300300300301301301301301301302301302302301301301301300300301300300299300300299300301300301301301301301300300299299299300299300999999999999999999307999299299300299299298298299298300300300300300300300300302999999999999999302304305304306305305305304303303304304304304304303304302303303303303304304304304304305305305303303304303303303303303304305304304304306306305305304304304304304303302302302302301302302301301300300301301301301301302302302302302302301301301302302301301301301301301300301301301301301301301302302301301301303301301301301301302302301301301301301300299299299300299299299300299299299300300300300300300301301301301301301302301301301302302301301301301301300300300300300299299299299299299299299298299300301301301301301302302302303304304304303304304303303302302303302303303303302302302301302302302302302302301300302301302301301300300300299299300300300300300300300300300301300301301300300301300301301301301301301302301302302302302301302301302302302301302301301301301301301301301301300300301301301301301301301302302301302301302301301301301301302302302302301302302302303302302302302302302302301301301302302302303303303303303304303303302303303302302301300300300300301301301301301301302302302301302302301300300300301300300300300301300301300300300299299298298298299298299299300300300300300300300300300299299299299300299300300300299299299298299299298299300300300300300300300299299298298299299298299298298298298298297297297298297298298298299298298299298298298298298298297297297297297297297296296296296297297297297297296297297297296297296297296296296296296295295295295295294295295294295294294294294294295295295294294294294294294293293294294294294293294294294293293293293293293294294294294294293293293293293293292292292292292291292292292292292292292292292292292292292292291291291291291291291291291291291291290290290290290290290290290290290289289289289289288288288288288288288288288287287287287287287287286287 999306307307306304305304305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293298301302303304304304304302300298297296297297296296295295295295295295296296296296296297297296296296295294294294294295294294294294295295296296297297297297297297298297298297297298297298298298299299299299299299300300300301301301301300301301301301301301302301301300300300301300300300300300299299299300300300300300301300300300300300300299298999999999999999999999999300300300300299298299299299299301299300299300999300301999999999999999999999305304304304305304302302301303303303303304303303303303303303304304304305304304304304304304304304303303304304302303302303304304304304304305304304304303303302301302301301301301301300300300300301300301301302302302302302302302301301301301301301301302301301301301300301301300300301301302301301301302302301302302301301301301301301300300300299299299299299298298298298298298298299299300300300300300301301301300301300301302301301302301301301300300300300300300299299299299299299299298298299299299300301301301302301302303302303303303303304302303302302303302302302303303302302302301301301302302302302301302301302302301301302300300300300301300301301300300299300300300300300301301300300301300301301301301301301301300301301301302302302302303302302302302301301301301301301301301301300300301301301301301301302302302301301302302301301301301302302302302301301302301302302301302302302303302301301301302302302303303303303303304303303302303302302301301300301300301301301301301301301302302301301302303302302301301301301300300301301300300301301300299299300298298299300300299300300300300299299300299300300300300299299300300300300299299299299299300300300301300299300300300300300299299299299298298299299298298298298298298298297297297298298298299299298298298298297298298297297297297296297297296296296296297297297297297297297297297297297297297296296296296296296295295295295295294295294294294294295294294295294295295295294294294293293294294294294294294293294294294293293293293293293293293293293293293293293292292292292292292292292292292292292291292292292292292292292292291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289288288288288288288288288288288287287287287287287286 999304305305303304305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293299301303303304304304303301299297297297297296296295294295294294294295295295296296296296296296296294294293294294295295294293294294294295296296296296296296296297297297297296297298298298298299298298298298299298299299300300299300300300300300300300300300300300300300301300300299299299299299299299299300299300300300300299300300301301301300299300999999999999999999999302301300301299298298299299299299300301300300299299300300302999999999999306999304303303304304302302302302303303303303302302303303303304304304304304304304304304304304304304303304304304303303303304304304305304303303303303303303302301301301300301301301301300300300300300299300301301302301301302302302301301301301301301301301301300301300301301301300300301301301302301302302302302301301301301301301300300300300299298298298298298298298298299298297297297298298299300299299300300301300300300301301301301301301301300301300300300299300299299299298299299299298298299299300300301301301301302302302302303302302302301303302302302302302302302302302302301301301302301301301302301301300301303301302302302302301300300300300300300299300299300300300300300301300300301300300301300300301300300301301301301302302303302302302302302302302302301301301301301300301301300301301301301301301301302302302301301303302302302301301302302301301301301302302302302302302302303303303301301301302302302304302302302302303304303302303302302302301301301301301301301301301301301301301302301302302303303302301302302300299300300300300300300300299299300298298298300299300300300299299300301300300301301301300300301301300300300299298298299300299300300300300299299299300301300299299299299299299299298298298298298298297298298297297297298297298299298298297298297298297297297297297296297296296296296296297297297297297297297297298297297297297297296296296295296295295295295295295294294295295295295295295295295295295295295295294294294294294294294293293293293293293293293293293293293293293293293293293293292292292292292292291292292292292292292291292292291291292292292291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289288288288288288288288288287287287287287287287286 302305303305303304304303301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300302305304304304303302300298297296297297296296295294295294294294295295295296296296296296296295294293293294294295295294293293294294293295295295296296295296295296297297297298298298298298298298298298298298299299299300298298299298299299299299299299299300300300301301300300299298298298298298299298298299300300301300300299300301301300300299300999999999999999999999303302299300300298298299299299300300301300300299300303303303304303302303308999302303303303303302301302302303302303302303303304304304304303304304304304304305304305304304303303303304304302304303303304304305304303303303303302302301301301300300300300300300300300300300299299300301301300301301301301301301301301300301301301301300300300300300301300300300300301301301301301302301301301301301301300301300300299299298298298298298298298298298297297297297297298298299299299299299299300300301301301301301301301301301300300299299299299299299299299299299299299299299299299300300300301301302301301301302302301302302301302302302302302302302302301301301301301301302301301301301301301301301302302302301301300301300300301299299300300300300300300300300300300299300300301301300300300300301301300300300301301301302302302302302302302302302301301301301301301301301300301302301301301302301302302302301301301301301302302301302301301301302301301303303302302302303302303303302301302302302301302303302302303303303302302303303302302302301301301302301301301301301301301302302302302303303302302302302301300299299300300300300299299299299300298298299299299301300300299299300301301300301301302301300301300301300301299299299300299300300300300300300300299300300299299299299299299299298298298299299298298298298298297297297298297298299298298297298298297297297297297297297296296296297297297297297297297297298298297298298297297297296297297297296296296295295295295295295295295295295295295295295295295295295295295294294294294294294294293294294293293293293293293293293293293293293293293293292292292292292291291291292292292292292292292292292291291291291292292292291291291291291291291291291291290290290290290290290290290290290290290289289289289289289288288288288288288288288287287287287287287287287286 301303303303303303303302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308300302304305305305303302301297296296296296296295295295294295294294295295295295296296296296296295294294294294294293294294294293292293293294294295296295295296296296297297297297300299297297298299298298298298298298299298298298299299298298299299299299299300299299300300299299299299298298297298297297298298299299300301300300300300300301300300299299999999999999999999999302302299299299297299299298299299300299300299300302301302302301303300999999999300300300301303302302303303303301302303303303304304304303303303304304304304304304304304303303303303304303302304303302302304304304303303302303302301301299301300300300300300299300300299299299299300300300300300300300301301301301301301301300301300300300300300300300300300300301301301301301301301301301301300301301301300300300299298298297297298297298297298297297297297297297298297298298298298298299299300300300301301301301301301301300300300299300299299298299299299299299299299298299299299300301301300301301301301301302301302301302301302302302302301301302301301301301301301302301301301301301300300301301301300300300300300300300300300301301300300300300299299299299299300299300300301300301301301300301300300301301301301301302302302302301302302302302302301302301300300301301301301301301301301301301302300301300300301300301300300300300300301302301302302302302302303302302302303302302301301301301302303301302303302302301301301301302302302302301301301301301302302301302301302302303302303302303302301302301301301300300299300300299299299299300299299299300300300300298300300300300302301301301302303301301301302300300300300300300301300300300300300301300300299299299299299299299299299299299298299299298298298298298298297297297298298298298298298298298298297297297297297297297296297297297297297297297297297298298298297297297297297297297297296296296296295295295295295295295295295295295295296295295295295295295294295294294294294294294294293294293293293294293293293293293293293294293293293293293292292292292291292291292291291291292292292291292291291291292291291291291291291291291291291291291290290290290290290290291290290290290290289289289289289289288288288288288288288288288287287287288287287287287 300302303300301302299299299999297301299999999999300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300309303304305305305304303301298296295295295295295295295294294294295295295295295295295295295296295295294294293294294294293293293293292292292293293294293294295295296296295295297298298298298298298298297298298298299298297298298298298298299298299299298299299300298300299300299299298298296297297297297297298298298299299300300300300300300300300299300298299999999999999999999299299299298298297298298299299300301299300300300301300302302301301299298999999297296296301302302303302303302301301303303303304304304304304304304304304304304304304303303303303303304303303303303303303304304303302303302302301300301299300300300300299299299299299299299299300300300300299299300300300300300300300300300300299299299299299299299299301300300300301301301301301300301300301300300300300300300299299298298297297296297297297297297297297297296297298297297298298298298299299299300300300300300300300301300300299300300299299299298299299299299299299299299298298299299300300300300300301301301301301301301301301302301301301301301301301301301302301301302301301300301301301300300301300300300300300300300300301300300300300300300300300299299299299300299300300300300300300300300300301301301301301301302302302301301302302302302302301300301301300300300301301301301301301301302301301301300301301300300300300300301300300300301301301301302302302302302302302302301301302301302302303302302302302302302301300301302302302302301301301300301302302302301302302302303303303302302303301301302301300300300300300300299299300299299299298300300301301301299299300300301301301301301301303303301301301301300300301300300301302301301300300301300300300300299300299299299299299299299299299299300299298298298298298298297297298297298298297298298298298297298297297297297297297297297297297297297297297297297297298297297297297297297297297296296296296295295295295295295295295295295295295295295295295295295295294295294294294294294294294294294294293294294294294294294294293293293293293293293293293292292291291291291292291291291292291292291291291292291291291291291291291291291291291291291291291291290290290290290290290290290290290289289289289289289288288288288288288288288288288287287287288287287287 301302301302299299299298298298298298298298299299300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999310306305304305306305303301299297295295294294295295294294293293294294295295295295295295296296295295295295294294293294294293293292292292292292293293293293294295295294294295296297297297298298298297297297297297297297297297297297298297298298298298299298299299300299299299299299298298297297298297297297297297297298298299299299299299300299300299300299299298999999999999999999299298298298298999298298298298299300300302300301301301302303302999297298296999295294297299302303303303303999300302303303303303304304304303304304305305305304304304303302304304304303304304303303303303303303303302302301301301301300300299300300299299298298298298298299299299299300299299300299299300300299299299299299299299299299299299299298299299300299300301301301301301300301299299300300300300300300299299298298297297296296296297297296297297297298298297296297297297297299298299299300300300300300300300300300300299300299299299299298298299299299299299298298298298298299299300300299300300301301301301300300300300301301300301301301301301301301301301301301301301300301301301301300300300300300300300300301301301300301300300300299300300299299300300299300300300300300300300300301300300300301301300301301301302301302301301302302301301300300300300300301301301301301301301301302301301301300301301301301300301299300301301300301301301301302302303302301302302302301301301301302302302302302302302302302301301301301302302302301301301300301303303302302301301302302302302303302303302301301301300300299300300298299299299300299300300300300300301301302301299301301301302303301301301302301301301299301301301301301302302301301301301301301300300300300300300300299299299299299300299299299299299299299299298298298297298297298298298298298298299298298298298297297297298298298298297297297297297297298298298298298298298297297297297297296296296296296295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294293294293293294294294293293293293293293293293293292292291292291291291291292292292292292291291292292291291291291291291291291291291291291291291291290290290290290290290290290290289289289289289289289289288288288288288288288288288288287287288288288287287 300300301300299299298300298297296298298298298298299300299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304304305305304302300297295294294294293293293293293292292291292293293294294294295295295294294295295295295294295294293293292291291292292292292293293293294293293294294294296298298298299298297297297297297297297297296296296296296298298298298299299298298299299299298299299298298298297296297296296297297297298298298299299299299300300299300300300300298299999999999999296298298297297297999298298298298999301301301301302301302999999301300999299297294292291999999999999999999999999999999301302303303304304304304304304305305304305304303303303303304303304303303304303303303302302302301301301300301300300300299300300299298298298298298298299299298299300300299299299299299299299299299298298298298298298298298299299299299299299300300300301301300300300299300300300300300300300299298298298297297297297296297297297297297296297297296296296296297297298298297299299299299298299299299299299299299299299299299298297299299299299299298299298298298298298298299299299300299299299299300300300300300300300300300301300300300300301301301300301300300300300300300300301300300301300301299300299300300299300301300300300300300299299300300300300300300300300299300300300300299300300301300301301301301301301301300301301300300301300300300301301301302302302301302302301300300300300300302301301300300301300301301301301300301301301302303302301301301302302301301302302303302302302302301301302302302301302302302301301301299300301302303303301301302302302302303302303303303302301301301301299300300299300300300300299300300300300300301300301302300300302302301302302301302303302302301301301301302301301302302301301300301301300300300301300300300300299299299299299299299300300299299299299299298298298298297298298298298298299298299299298298298297297297298298298298298297297297298297297297298298298297298297297297297297297296296296296295295295295296295295295295295295296296296295295295295295295295295294294294294294294294294294294293294294294294294294294294293293293293292292292292292292292292292291291291291291291292291291291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289289288288288288288288288288288288287288288288288287 297299300299299298297298297298296297297298297298298300300300300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307303302304305305303301298296294294294294294293292292291291290290290290291292292293293294293294293293294295295295295294293293292292291291292292292292292292293293293294293294295297298298298297296297297297297297297296297297295295296296297297298297298298298299298298298299298298297296296296296296296296296297297297297297298297298298298298298299300300299298299999999999294296296296297999999297298298301999999300301301300301303999999999300299298297294292295999999999999999999999999999999300301302303304304304304305305305305305304304303303304303303303303302302303302303302302301302301300300300300300300300299300300299299299299298297298297298298297298299298298298298298298299298297298298298298299298298298298298299299300300300301302301301301300300299299299300300300300299299298298298297298297297297297297297297297296297296297297297297297297298297298298299298299299299299299298298298299299299299299298298298299299298299299298299298299298298298298298299298299299299300299299299300300300300300300300300300301300300301301301301300300300300301301300300300301301300300300300300300300299300300300300300300299299300300301301300300300299300299299300300300299300300301301301300301301301301301301301301301301300300299300300300301301301301302301302301301300300301301302302301301300300300301301301300300301302301302303302301301301301301301301302301301302302302302302302302301301301301301302301300301301301301302302302302302302303301303303303303303303302301301301300300300301300300300300300300300300300299300300301301301301300302302303301301302301302303303300301301301302301302302302301301300301301300300301301300300300299298299299299300299300300299299299299299299299299298298297298298297298299299299298300299298298298298297298298298298297297298297297297297298298298298298298298297298297297297297296296296296296295295296296296295295296296296295296295295295295295295295295295295295295295295294294294294294294294294294294294294294294293293293293293292292292292292291291292291291292292291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290289289289289289289289289289288288288288288288288287288287288288288287 297298298298297297297297297297297296297297297296298299299300300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305301303303304303301299296294294294294293293292292291290289289289288288289290291291291291292293293291291292293294294294292292291291291291292291291292292292292292293293293293295297297298297297296297297297296296297295295294295296295296296296298298297297297297298298298298298297297297295295295295295296296296296297297297297999298298298297297299300300299299298999999294294295297297297296295298298299301300299300300301301301999999999999999298299297295295297298999999999999999999999999999999301301303304304304303303304305305305304303302302302302302301301302303302303302302301301301300299300300300300300299299300300300298298298297297297297297298297298298298298299298297297297297298298298298298298298298297297299298299299300300301301301301301301300299299300300300300299299299299298297298298297297297297297297297296297296297297297297297297297297297298298298298298298299299299298297296299298298298299298298297298297298298298298299298298298298298298298298297298298298298298298298299299299300300300299300300299300300300301301300300300300300300300300300300300299299299300300300300300301300300300300299300300300300301301301301300301300300299299300299300300300300301301301301301301301301301300300301301300300299299300299301301301301301301301302301302302301301301301301301301300300301300301301301300300301302302302301301301301301301301301302303302301301301302302302301301300300300301301301302301301301303303302303303303303303303303303303303303302301301302301300300301300300300301300300300300300300301301301301301302302302302302303301301303303302303302302301301302302302302302301302302302301301301301301301301300300300299299299300300300300299300299299300300299299299299298298297298298299299300300298299299299298299298298298298298298298298298298297298298298298298298298298298298297297297297297296296296296296296296296296296296296296296296296296295295295295295295295295294294295295295295295295294294294294294294294294294294294294294293293293293292292291291291291291292291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290289289289289289289289289289289288288288288288288288288288287287287288287287287 296297297298297294295297296297296296296296297297298297298299300300299299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299301303303303300297295294293293294293292292292292291289288288287287288288288290290290291291291291290290291291291292291291291290291291291292292292292291292291292293293294296296296297297297297296297297296296296296296295295296296296297297297297296296296297297298298298298298297296295295295295295295296296296296296296297999999299299298298298298298299297296296293294294294295296295295297297298299299300299300300300300301999999303303999999999297296296296299999999999999999999999999999999999299301303304303304303304305305305304302302302302302302302302303302302302302301301301300300300300300300299299299301301300300298298298297297297296297297298298297298298297297297297297298297297297297297298298297297298299299300300300299301301300300301300300299299299300298299299299298299298297297297297297297298297297297297297297297297297297296297297297297297298298298298298298298298298298298297298298297298298298298298297298298298297298298298298298298298297297297297298298298297298299299299299300300299299299299299299300301300300300300300300300300299300300299299300299300300300300300300300300300300300300300300300300300301301300300300300300299299299300300300300301301301301302301301301300300300301301300300300300300299300299301301301301300301301302303302301301301301301301301301301301300301301301301301301302302302301301301302301301301302301301301302302302302302303303300300299300301300302302301302303302302302302303303303303304303303303302302302301301301301300300299300300300301300300300299301301301301301301302301302302302301302301302302303302303303302302302302303303302302302302302302303301301302301302300300300300300299299300300301300300300300299300299299298299299298298299299299299299299300300299299299298299298298298298298298298298298298298297298298298298298297297298298297297297297297297296296296296296296296296296296296296296296297296296296296295295295294295295295295295295295295294294294294295294294294294294294294294294293293293292292291291291291291291292291291291291292291291291291291291291291291291291291291291290290291290290290290290290290290290290290289289289289289289289289288288288288288288288288288287287287287287287287287 296296295296295294296295295296296296296297297297297297297299298299299999300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300302303302299296294293292292292292292292292292292291290289289288288288288289289289290290291291291291290290290290290290290290290291291292292291291291292292292292293294295295295295295296297297296296296296296295295295296296296296296297296295295294295295296298298297297297297296295295296296295296295295295296296296296295999999999298297298298297297297297297295296294294296296295295296298298298298299300300300301301301999300301301999999999999296296297298300300999999999999999999999999999300301303303303304304303304304304303303303302301301303302302302303302301301301300300300300299300300300299301300301301299299299298298297297297297297297297297297297297297297296297298298297297297298298299298297297297298299299299299299300300300300301301301300299299299298299299299299298298298298296297297296298297297297297297297297297297297297298298298297298297297298298297298298298298297297298298298298298298298298298298298298298297298299297297297297297296297297296296297297297298298299299299299299299299299299299299299300300300300300300300300300300300299299300300299299299300299300300300299300300299300300300300300301300300300300300300300299299299300300300301300301301301301301301301301301301301300300300300300300300300301300300301301300300302302302301302301301301301302301301301301300301300301301301302302302302301301301301301301301301301301301301301302302303303301301301301300302301303303301302302300301302302303303303303304304303303303302302301301300300300299299300300300301300300300300301301301301301302302302302302302302302302301302302303303303302302302303303303302303302302302303302301301301301302300300300300300299300300299300300300301300300300299300299300299299298298299298299299300300300300300300299298298298298298298298298298298298298297298298298298298298298298298298298297297297297296296296296296296296296296297297297296296296296296296295295295295295295295295295295295295295295294295294295295295295295294294294294294293293292292292291291291292291291291291291291292292291291291291291291291291292291291291291291291291291291290290290290290290289289290289290289289289289289289289288288288288288288288288288287287287287287287287287 296296296295295294294296294294295295296296296296297298297298298299299299300301302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297300301301300298295293292291291291291291291291291291291291290290289289290290290290290290290290291290290290290291290290289290290290290291292292292291291291291292292293292293294294295295295296298297297296296296296295296297295295296296296297296294295296296296298298298297296296296296296295295295296295295295296296295296298298299297297297298298298298298297297297295295295296296295294297297298298298299299300300300300300299300301301301999999999295298298299298300301999999999999999999999301300301302303304305305304303303303303303302301302302302303302303303302301301301300301300299299299300300300301300301299298299298297298297297297297296296297296297296296296296296297297297297297298298298297298298298298298299298299299299300299300300300301300300299299300300299299299298298297297297298298298298297297297297298297297298297297297297298298298298298297298297298298298298297297297297296298297298298297298298298297297297297298298298297298298297297296297296296297297297297297299299300299299299299299299298298299299299299299300300300300300300300299299299300299300299299299299300300300300299299300300300300300300301300301300300300301300299299299300300300300300300301301301301301301301300301300300300300300300300300301301301300301301301301302302302302302301301302302302301301301300301300300300301301302302302302301301301301301301301301301301301302301301301301300301301301300301302303302302301301301301301301302303303303303303303303302302302301300300300300299299299300301300300300300301301301301302302302301302302302302301301303302300302303303303303302302302304303303302302303302302303303302302302301301301300300300300299301301299300300300300300300300299299299299299299299299299299299299301300300301300300299299298298298298298298298298298297298298298298298298298298298298297297298297297297297297297297297297297297297297296297297297297297296296296296295294295295294295295295295295295295295295295295294295295294294294294294294294293293292292292291291291291291291291291291291291291291291291291291291291291292291291291291291291291291291290290290290290290289289290290290289289289289289289289288288288288288288288288287287287287287287287287287 296296296295295295294294294295295295295295296296297297297297298298299300300301302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297300298299300299298297295293292290290290290290290290290290290290289289289289290290289290290290290290291291291291290290290290289289290290290290291291292292291291291291292292292293293294294295296296295297296297296296296295294295295294294295296295296294294296296296297296297296296296295295295295295295295295294295295295295295999297297297298298298297298298298298298298297295296296296296999297297298299299300300301301300300298300299300300300300300999294295296296298299300300999999999999999999301301301302303304305305303302303304303303302302303302302302302302302302301302301300300299299299300300300299300298298297298298297298298298298297297296296296296296296295296296295297296297298297297297298298297297298297298297299298298299300300299299300300299300299298299299298298298298298297297298297297296297297297297297297297297298297297297297298298298298298297298298298298298298297297298297298297297297298297297297297297297297297297297297297298297297297297296296296297297297297298299299299298299299299299299299299299299299299300300299299300300299300299299300300300299299299299299300299299300299299299300300300300300301300300301301301301301301300300299299300300300300300301301301301301301300300300301300300300300300300300301301301301301301301302302302303302302302302302301301301300301301302301300301302302302302301301301301301301302301301300300301301302301301301300302301300300301302302303302301300301301301300301302302302303303303303302302302301300300300299299299299300300300299300301300301301300302302302302302302302302301302302302301302303303303303302302302303304302302302303303302303302302302302302301301301300300301300300300300300300300300300300300300300298299299299299299299299299300300300300300299299299298298298298298299299298298298298297298298297298298297298298298298298297297297297297297297297297297297297296297296297297297297297296296296295295295295295295295295295295295295295295294294295295294294294294294294294293294293293292292292292291292291291291291291292292292291291291291291291291292292292291291291291291291291290290290290290290290289289290290290290289289289289289289288288288288288288288288287287287287287287287287287287 294294296296295295294294295295294294295295296296296296296297297297298299300299300299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297298298297297296294293292290290289289289289289289289288288288288288289289290290291291291291291291291292292292291290290290290289289289290290291292291291291290292292292292293293294294295294294295296296297296297296295294295294294294295295295296295294296296296296297296296296295295295295294295295295294295294295296297295999297297297298298298298298298298298297298297296297296296296296999999999300300300301302301301300300300300301299299300299299295295297297297301300302303302999999999999300301302302303305303303302302305304304303302303302302302302302303302302301301301300300298299299298300298298298298297297297299297297296298297295296296296296296296296296296296296296297297298298297297297297298297298297298297298297298299299299299299299299299300300298298298297297298299298297298298297297297297297297297296298297297298297298297297297297298297298297297297298298298298298298296296296295296297297297297297297297297297297297297297297297297297297297296296297297297297297298298299298299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299300300300300300301301300300301300300300300300300299299299300299300300300300301301301301301301301301301301300300300301300301301299300300301301302302302301302302301302301301302302302302302302302301301301302302302301301301301301301301301301301300300300301302302302301301302302301301301302302302302300301300301301301300301301301302302303302302302302301300299299299299299299300300300300300300300300301300301301302302302302302302302302303302302303303302302303303304304303303303303302303303303303303302302303302302302301301300301301301301301301301301301301300300300300299300300300300300299299299300300300300300300299299299298298298299299298298298298298298298298298298298298297298297298298297297297297297297297297297297297297297297297297297297297296296296295295295295295295295295295295295295295295295294294294294294294294294294294294294294293293292292292292292292291291291291291291291291292291291291291292291291291291291291291291291291290290290290290290290289289290289289289289289289289289289289288288288288288288287287287287287287287287287287287287 294295295296296295295294295295295296296295296296296297297297297298297299299999300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294295294295294294293292291289289289289289289289288288288289289290290290291291291292292292292292292292292293292292291291290290289289289290290291291291291291292292292291291292293293293294294294295296295295296295295295294294293293293295294295295294295296296296296296296295295295295294294294295295294295295295295296296297295296297298299298298298298298297298299299298297297297297297297295999999999303302302302302302301301301301301298299300299298297297297299999302302303302303999999999999300300301301302304304304302303304303303303303303303302302301302302301301301301300300299299298299298299298298297297297297297297297297297294295296296296296296296296295296296296296296297297297297297297297297297297297297297297297298298298297297298298297297298298298296297297297298298299298297297297298297297296297297296296297298298297297297297297297297297297297297297297298298298298298298297297296295295297297297297297297297297297297297297298297297297297297297297297297297297297297297298298298299299299299299299299299299299299299299299299299299299299299299299299298299299299300299299299300299299299300300300300300300300300301300302301300300300300300300300300300300300300300300301301301300301301300300300301300300300301300300300300301301301302302301301302302301301302302302302302302302302302302302301302302302302301301301302301301301301301301301301300300301302302301301301301300301302302302302301302301301300301300301301300300301302302302301302302301300299299300299299300301300300300301300300300301301301301302302302302302302302302302303302303303302302303303304302302302302303303302303303303303303302302302303302301300301301300301301301301301301301300301301301300300299300300300300300300300300300300301301300298299299299299299299298298298298298298298298298298298298298298298297297297298297297297297297297297297297297297297297297297297297297296296296295295295295295295295295295295295294294294294294294294294294294294294294294294294294294293293292292292292292291291291291291291291292291291292291291291291291291291291291291291291290290290290290290290290290289289289289289289288289289289288288288288288288288287287287287287287287287287287287287287 294295296296296296296295295296296296296296296296297297298298298297297298299300300300298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292291292292293293293292291290289288289289288288289289290291291292292292291291292292293293293293293293293293293293293292292292291291290290290290290290291291291291291292291291292292292292292293294294294294295296294295295294294293294293294293293293293292294296296296296296296296296295295294295295295296295296295295296297296297297298298298299298298298297298297298299299298297297297297297297296999999999999303304999302302303302299299300300299298298298296298298300999999301301301999999999999999301300301302302304305302302304304303302302304304302302302302302301301300301300300300300299298299298298297297297297297297297297297296296296294294296296296296296296296296296296296296296297297296296296297295296295296297297296297297296297297297297297297297297297297297297298297297297298297297297298297297297296296297296297298298298298297297297297297297297297297297297297298298298298298298298297296296296296296296297297297297297297298297298298297297297297297297297297296296296297297297298298299299299299298299299299299298299299299299299299299299299299299299299299299300300300299299299299300299299299300300300299300300300300301301301302301301300300300300300300300300300300300300301301301301301301301300301301301301300300300301301301301301301301302302302301301302301302302303302302302302301302302302302302303302302302302302302302302302301301300300301299301300301302301301301301300302303302302303302302301301301301301300301300300301302302301301302301301300300300300300301301302301301301301301301300301301301301301302302303302302303303302302303303303303302303303304302302303303304303303303303303303302303301303304303302301301301300300301301300301301301300300301301300300300300300301301300300301300301300300300300299299299299299299299299298298298298298298297297297297298298298298298297297297297297297297297298297297297297297297297297297297297297296296296295295295295295295294294295294294294294294294294294294294294294294294294294294294294293293293293293293292292292291291291291291291291292291291291291291291291291291291291291291291290290290290290290290290289290289289289289289289289289288288288288288288288287287288288287287287287287287287287287287 294296296296297296296297297297298297297297297298298298299298298298297297298300300300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290290291292291292292291291289289287287288289290291292293293292292292292292292292292293293294293293293293294294293293293293292292291290290291291290290291291291291291291291291292292292292293293293293293293294293294294293294294293294293294295294295295296295294295296295295295295295295294295294294294294295294293294296295296297296298298299299299297298298298298299300299298297297298299298298298999999999999999999999999999999300298299300299299298299298299299300999999300300300304999999999999999999300301301302302304304302304305302301303303303303302302301300300300300300300299300299298298298298296297296297297297297297296296295296295296296296295296296296295295296296296296296296296297295295296296295295295296296295296297296295296297297297297297297297297298297296296296296297297297297297297297297298297297297298297298298298297297297297297297297297297297297297297297298298297298297297297297296296297296296297297297297297297298297298297297297297297297297296297296296297297297297297298298299299299299299299299299299298298299299299299299299299299299299299299299299299299300299299299300300299299299300300300299300300301301301301301301301300300300300300300300300300301301301301301301300301301301300301301301301301301302301301301301301301302301302302302302302302302302303302302301301301302302303303302303303302302302301301301302302301301300301301301300299300301302302301300301302301302302302302302302302302301301300301301300301301301301300301301301301301300300301301301301301301301301301301300301301301301301302302302302301303302302303302302303302303303303303303302303304302303303304303304304303303302302302303301301301301301301302301300301301301301301301301301301301300300301301301300301301301300299299299299299299300299299299299299298298298299298297298298298298298298298297297297297297297298298297298298297297297297297297297297297297297297296296295295295295295295294294295294294294294294294294294294294294294294294294294295294294293293293293293293293292292292292292291291291292292291291291291291292291291291291291291291291290290290290290290290290289289289289289289289289289288288288288288288288287287287287287287287287287287287287287287286 295296297297297297297298298298298297298297298298297298297297297297297297297298299300299299302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283288289290292291291291290289289289289291292292293293293293293293293293293293293293293293294294294294295295294294294294294293293292292291292292291291291291291290291291291291291292291292292292293292293292293293293293293293294294294294294294295294294295296294295293295296295295295295294294295295295293294292295293295295297296298298299298298298298297297299299299299300300298296298298299299298299999999999999999999999999999999296300300299298298299299300300301302999999299301301999999999999999999999999299299301302302304304303304303303303303303302301301300300299300299300299299298298298297297297296296296297297296297296296296295296295295295295296296296296295295296296296296297297296295295296295295295295295295295296296296296296296296297297296296297297296297296296295295295296297297296296296296296296297297297297297298298298297297297297297297297297297297297297297297297297297297297297297297296296295296296297297297297297297297297297297297297297297297297297297297297297297297298298298298298298298299299299299299299298298298299299299299299299299299299299299299299300300300300299300300299300300299299300300299300300301301301301301301301301300300300300300300300300301301301301301300301302302301300300301300301301301302301301301302302302302302303303303303302303302302302302301301302302302302302302302303302302302302301301301302302301300301301301300300300301300301301302301301302302302302302302301302301302301301300300301301301301301301300301300301301301301300301301301301301301301302302301301301301301301301302302302302302302303302302302302302303303303303302303302302303303303304304303304303303303303302302302301301301301301301301301301301301301301301301301301301301301301301301301301300300300300299300300299299299299299299299299299299298298298299298298298298298298298298298298298298297298298298298298298298298298298298297297297297297297297296296295295295296295295295294295294295294294294294294294294294294294294294294294294294294294293293293293292292292292292292291291292291292292291291291291291291291291291291291291290290290290290290289289289289289289289289288288289288288288288288288287287287287287287287287287287286287286286286286286286 295296297297298297298298299298298298298298298298298298298297298297297297297298299300299299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285286290292292292292291290290291292294293293294294294293294294293293293293294294293292293294294294294294295295295295295295294294294293293293293293292292291292292291292292291291292292291291292293293293293294293292294293293293293295294293295294294294294295296296295295297295295295295295296295294294294294293295295295293999294295296298299299298298297296296300299299300300300300298298299299298299298999999999999999999999999999999999297298300300299300300300300300301302302999999999999999999306305999999999999300300300302302303303303303303303302302303302301301300299299299300299299298298298297297297297297296297297297296296296296295295295295295295295295296295296296295295296296296296296296296295295295294295294294294294295294295295295295297296296296295296296296295295295295296296296296297296296296296296296297297297297298298298297297297297297297296296297297297297297297297297297297296297296296296296296296296296297297297297297297297297297297297297297297297297297296296296297297296297297298298298299299299299299299299299298298298298299299299299299299299299299299299299300300300300300300300300299300300299300300300300300301301301301301301301301301301301300300300300300300301301301301301300301301301301300301301301301301302302301302302302303303302302303303302303302302302302302301302302302303302302302302302302302302302301302301301301301300301301299299301300301301300301301301301302301301302302302301302302301301301301301302300301301301301301300300300301300301301301302302301301301301302302302302301301301302301301302303302302302302302303302302303303303304303304304303302302302302304304303303303303303303303304302302302301300301301302301302302301301302301301302301301301301302301301301302301301301300300300300300300299299299299299299299299299299298299299298298298298298298297298298298298298298298298298298298298297297297297297297297297296296296295295295295295295294295294294294294294293293293294294294294294293294293293293293294294293293293293293293293292292292292291291291291291291292291291291291291291291291290290290290290290290289289289289289289289289289288288288288288288288288288287287287287287287287287287287287287286286286286286286286286 295297297297298298299299299298298298298298298298298298298298297298297297297297298298299299299999999999999304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280283283286288290291292292291291292292294295295295294294294294294294294293293293293294294294294294294295295295295295295295294295295295294295294293293293293292292293292291291291291291292292292292292292292293294294294294294295293294293294294294294294294293293294294294296295296296296295295296295296295294295294294294295295293297999297297298299299301301298297297301301301301302302303301300299299299299299297999999999999999999999999999999296297298301301301303303301302302303304303999999999999999999303303999999999999304301302302302303304303303303303303302302302301300300299299299300300299299298298298297297297297297297297297297296296296296295296295295295295295295296295295295296296296296296296295295295295295294294295295294294295294294294294295295296296295295296296296295295295295295295296296296296296296295295296297297297298298298298297297297297297296296296296296297296297297297297297296296296296296296296296296295296297297297297297297297297297297297297297296297297297296297297296296296297297298298298299298299299299299298298298298297298299299299299299299299299299299299300300300300300300300300300300300300300300300300300300301301301301301300300301300300300300301301301301301301301301301300300300301301301301301301302301301302302302303303304303304303303303303304303303303302303303303302303303303302303303303303303303302302302302301302301302301301300300300301300300300300301301302302302302302302302302302302302302302302302302302302302302301301301301301301302302303302302302301302302302302302302302302302301301302302302302303303302302303302302304302303303302304304304304303303303303303304303303303303304303304303303303302301302301301301301302302302301301301302302301301301301301302301301301301300300300300300299299299299299299299298298298299299299298298298298298297297297297297297298297298297298298298298298298297297297297297297297297297297296296296295295295295295295295294294293294294293293293293294294294294294293293293293293293294294293294293293293292292292292292291291291291291291291291291291291291291291290290291290290290289289289289289289289289289289289288288288288288288288288288287287287287286287287287287287287287287286286286286286286286286 296296297298298298298299298298298298298298297297298298297298298298297297297297297298298298297999999999302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280284286288291293294295295295295295295296296296295295295295295295294294294294294293293295294294294295295295295295295295296295295295295295295295294294294293292293293292292291291291291292292291291292292291292292293294294293294293293292294294293294293293293293293294294294294295295296296296296295294294293293294293293296295294295999297296297298299300299298298298300299300298300301300299300299299299299298297300999999999999999999999999300297299300301302302303303302999302304304303999999999999999999302303300298299301303303302301302302303303304303303303303303303301299299299299299299299299299298298298298298298298298297296297297296296296296296296296295295295296296296295295295296295295296295295295295295295294294294295294294294294294294294294295295295296295295296295295295294295295294296296296295296295295295296296297297297297298298298297297296296296296296296296296296297297297297296296296296296296296296296295296296296296296297297297297297297296297297297297297297297296296296297296296297297297297298299298299299299299299298299298298298298298299299299299300300300300299299300300300300300301300300300300300300300300300300301301301301301301301300301301301301301301301301301301301301301302301301301301302301301301301301301301302302303303303304303304304303304304305303303304304303303303303303303303303302303303303303303303302302302302301301301301301301300300301300300300301301301301301302303301301301301301302302302302302302302302302302301302301301301301301302302301302302302302302302301302302301301302302301301301301302301302302302302302301301301302302303303303303303303302304303302303303304304303303303303303303303302302302302302301301301302302302301301301301301301301301300300301301301301301300299300300300300299299299299299299298298298298298299299298298298297297297297298297297297297297297297297297297297297297297297296297297297297297297296296296296295295294294295295294294294294293294294293293293293293294293293293293293293293293294294294293293293293292292292292292291291291291291291291291291290291291290290290290290290289289289289289289289289289289289289288288288288288288288288288287287287287287287287287287287287286286286286286286286286286286286 296296297298298298298298298297298298297297297297298298298298298298297297297297297297298298297999999999302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283286289292293295296297297297297296296297297296296296295296295295295295295294294294294294295294294295295295295295295295296296295295295295295296295294295294294293293293292291292291291290290290291291291291291292293294293294293293294294294294294294293292293293293292292293294293294295295296295295294294293293293294293294294294293999999298297299298299301300299298297295297298300299300299298299298299300300300297999999999999999999999299300299299999999299300302303303301999302303303305999303305999999999301301301299299299301302300301302302303303303302303303302302301300299299298298298298298298298298297297298298297297297296296297297296296296296296296296295295295295295295295295295296295295295295295294295294294294293293293294294294293293293293294294294295295295295294295295295295294294294294295295295295295295295295295296296297297297297297297296296296295295295295296296296296296296296296296295295296295295295295295296296296296296296296296296296296296296296296296296296296296296295296296296296296297298297298298298298298298298298298298298298298298298299298299299299299300300300300300300300300300300300300300300300300300300301300301301300301301300300301301301301301300300300300300301301301301301300301301301300301301301301302301302302302303303304303303304304304304304304304304304304303301302302302303303302303303303303303303302302302302301301300301301300300300300300300300300301301302302302301302301301301301301302301302302302302301301302301301301301301301301301302302301302302302303302301302302302301302302302301301301301300301302302302302302302302302302303303302302304303303303303302302303304303303302303302302303303302302302301301301302301301301301301301302301301302301301300301301301300301300300300300300300300300299299299299299298298298298298298298298298298297298297297297297298299298298298297297298297297297297297297297297297297297297296296296296295295295294294294294294294294294294294294293293293293293293293293293293293293293294294293293293293293292292292292292292291291291291291290291291291291291291290291290290290290289289289289288288289289289289288288288288288288288288287288288287287287287287287287287287287286286286286286286286286286286286286 296297297298298298298298298298298297298298298298298297297298298298297297298297297297298297298297297300302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290279281284287291293295296297297297296296296297297296297297296296295296295295295295295295296295294294295295295295295295295294295295295295295295295295295296294294294294294294294293293292292292291290290290290291291291292292293293293294294294294294294294294294293293294294292292293295294295296295295295294295295294294293293293293294294294294295999298299299300300300300298297294298299298299299299298298297298298298297298298999999999999999999999302300301999999999999999301301300300999302303304305305305304999999999299301300300299298298298298300301302302302302302303303301301301300299298297298298298298298298298297297298298297297296296296296296296295296296296295295295295295295295295295295295295295294294295294294294294293294294293293294294293293293293293294294294294294295294294295295294294294293293294294295295295294295295295296296296297297296297296296296296296296295295295295296296296296296296296295295295296295295295295295295296296296296296296296296296296296296296296297296296296296296296296296295296297297297297297298297298298298298298298298299298298298298298298298298299299300300300300300300300300300300300300299300300300300300300301301300300300300300300300300300301300301300301300301301301301301302301300301300301301301302301302302302303303303304303303303303305304304304304303303303303303301301302302302302302303303303303303302301302302301301300300301301301300300301301301301301302302303302301302301301301300301301301301301302301302301302302302301301301301301301301301301301302302301301301301301302302302302302301301301301301301301300302301302301302303302303303302303302304305303303303302302302304303303303302302302302302303303302301301302301301301301301301301302300300300301301301300300300300301300301300300299299300300299299299299298298298298298298298298298298298298298299298298298299298298297298297297297297297297297297297297297297297297297296296296296296295295295294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291291290290290290290290290290290289289289289289288288288289289288288288288288288288288288287287287287287287287287287287287287286286286286286286286286286286286286286 296297298298298298298298298297297297297298298298298298298298298298297297298297297298298298298297297299301302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281285288290293294296296296296296296295295296296296296296296296295295296296296296296296296296295295295294295295295295295294295295294294295294295295294294295295295295295294294294294293292291291291291291290291291291292291292292292293293294294294294294294295294294292293293292294294295293295295294294295295295294294294294294295294295294293298999999999298300300300299298298296295298298297298298298298297296297297297296298999999999999999999999300300300301999999999999999299300300999999303304304304305305304304999999300301301300299298298298298299300301302303303302302302301301301300298297297297298298298297298297297297297297296296296296296296296295295295295295295295295295295295294295295295295295294295294294294293293293293293293293294293293293293293293293293293294294294293294294294294294294294293294294294294295294294295294295296296296296296296296296296296295295295295294294295295296295295295295295295295295295295295295295295295295295295295295295295296295295295295295296296295295295295295295296296296296297297297297297297297298298298298298298298298298298297298298298298299299299299299300299300300300299299299299300299299300300300300300300300300300300300300300300300300301301301300300300300300301301301301300300301301301301301301302302302303302302303304304304304303304303304304304303303302303303302302301301301302302302303303303302302301301301301301300300300300301300300300301300301301303302302301302302301301301302301301301301302302301301301302302301301301301301301301301302301301301302302301301301301302302301302302301301301301300301301300301300301300301303302303303303303303303303303303302303303303303303303303302302302301302302302302302302302301301300300301301300301300300300301301301301301300300300300300300300299299299299299299299299299298298298298298298298298299298298298299299298298298298298297298297297297297297298297297297297297297297297297296296296295296295295295294294294294294294294294294294294294293293293293293293293293293293293294293293293293293293293292292292292291291291291291291291291290291290290290290290290290289289289289289289289288288288289289288288288288288288288288287287287287287287287287287287286287286286286286286286286286286286286286286 296297298298298299299298298298298298298298298298298298298298298298298298298298297297297298298298297297300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285287290293295296297297297297297297297296297297297297297297297296296296296296296296296295295295295295295294294295295295294295294295294294295295294294295295294295295294294294294293294294293292291291291291290290291291292292292293293294294293293293294294295295295295294293293293294294294294296294296295296296296295294295296295296294296295296299999999999298298299300300298297297298297298297298298299299299296295296296297297299999999296296297999999298298999999999999999999298299300999999302303303303304304304303999999999301300299298298298298298299300302302302302302302301300300300299298298297297297297298297298297296296296296296296296296296295295295295295295295294294294294294294295295294294294295294294294293293293293293293293293293293293293293293293294294294294294294294294293294294294293293294294293293293294294294294294294295295296296296295295296295295295295295295295294294294295295295295295295295295295294294295295295295295295295295295295295296295296295295294295295295295295295295295294294295296296296297297297297297297297297297298298298298298298298297297298297298298298299299299299300299300300300300300300300299300300300299300300300300300299299300300300300300300301300301301301301300300300301301301301301300301301301301301301301302302302302302302303304304304303303303304304303302303302303302302302301301301302302303302302302302301301301301301300300300300301301300300300300301301302302302302302302301301301301301301301301302301301301302302302301301301301301301301301301301301301301301301301301300301301301301301301301301300300301300300301300302301301301303302303304303305304302303303303304302303302302303302303302302302302302302302302302302302301301301301301301301301301301301301302301301301300300301300300299300299300300300299299299299298298298298299299298298298298298298298298299298299298299298298298297297297297296297296297297296296297296296297296296296295295295295295295294294295294295294294294294294294293293293293293293293293293293293293293293293293293292293292292291291291291291291291290291291291291291290290290290290290290289289290289289289288288288288288288288288288288288288288288288288288287287287287287287287287287287286286286286286286286286286286286 295296298299299299298297297297297297297297298298298297297298298299298298298298297297297298297298298298300300999999301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999999999999999999999289289289290292294296297298298298298298298297297298298298298297297297297297297297296296297297296296296295295294294295295294294294294294295295295295295294294294294294294294295294294294294294294293293292291291291292291291291291291292293293293293294294294294294294294295295294295294294295295295295294295295296296296295295296295296296296295295297297297299999999999999296999999297299298299299299298298299299298299300299296296296295296295999295296296296999999298299999999999999999999298299999999999301303302303304304305304999999999999300299297297298298300300300302302302301302302301299299299299298298297297297297298298297297297296296296296296295296296295295295295294294294294294294294294294294294294294293293293293294293293292292292292292293292293293293293293293293294294294294294294294294294294294294293294294293293293293293293293293294295295295295295295295295295294294294294294294294293294294295295295295295295294295295295295295295295295295294295295295295295296296295295295295295295295295295295295294294295295295296296296296297297297297297298298298298298298298298297297297298298298298298298298298299299300300300300300300299300300300299299299300300299300300300300300300300300300300300300301301301300300300301301301301301300301301301301301302302302303303303303303303303304304303303303303302301303302303302302302302301301301301301301302302301302301302301301301300300300300301300300299300301301302302302301301301301302301301302301300301301302301301302302301301302302301301301301302301301301301302301301301301301301301300301301301301300300300300300301300301301301301302303303305305305304304303303303303303303303303302303302302302302302302302302303302302302301302301301301301301301301301301301301301301301301300300299300300300300300299299300300299299299299298298298299299299298298298298298298298298298298298300299298298298298298297297297297297296296296296296296296297297296296295295294295294294294295294294295294295294294294294294294294294293293293293293293294294294293293293293293293292292292291291291291291291290290291291291291290290290290290290290289290290289289289289288288288288288288288288288288287287288287287287287287287287287286286286286286286286286286286286286286286286286 296297298299299298298297297297297297297297297297298297298298298299298297298298298298297298297297298298299299298298299298298298298298999999999999999999999999999999999999999999999999999999999999999999999999999298299999999294293292292292293294295296297298298298298298298298298298298298298298298298298297297298298297297297297297296295295294295296295295295294295294294295295295295295295294294294294295295295295294294294294294294293292292292292292290291291291291292292293294294294294294295294294294294294294294294294294296294294294295295294294293295296296296296296296295296297297298999999999999298299297295298298299299299300300299299299299298298297297295295294297999294296296297295999299298999999999999999999297298298999999999300301302303304305305999999999999999299298295294296299300300301301302301301301301300299299299298298298298298297298298297298297297297296296296295296296295295295295295294294294294294293294294294294294294293293293293293292293292292292292291291292293292293293293293293293293293293293294294294294294294293293293293293293293293292292293293294293294295295295295295295294294294294294294294294294293294294295294295295295294294295295294295295295295294294294295295295295296296296295295295295295295295294295295295295295295295296296296296297297297297298297297298298298298297297297297297297297297297298298299299299299299299300300300300300300300300300299299299299299299300300300300300300300300300300301301301301301301301301301301301300300300301301301301301302302302303303303303303303304304303303303302302303303304303303302302302302301301301301301301301302302301301301300300301301301301300300300301300300301300300301301300301300301301302301301301301301302302301301302302302302302301301301302302302302302302302302302301302302302300300300301300300300301300299299300300299301301301302302303304304304304304304304303304303304304303302302303303302302302302302302303302302302302301302302301301301301301301301302301301301301301301301300300300300300299299299299299300299299299299299299299299299299299298298298298299299298299299299299299299298299298298298297297297297297296297297297297297297297296296295294294294295295294295294294295294294294294294294293293294293293293293293293293293293293293293293293292292292292291291291291291290290290290290290290290290290290290289289289289289289289289289288288288288288288288287287287287287287288287287287287287287287287286286286286286286286286286286286286286286286286 297298299299299298297298298297297297297297297297298298298298298298298298298298298298298298298298298298298298299298297999999299299298298999999999999999999999999999999999999999999999999999999999999999999999297298297295297296296295295295295295296297297298298298298298298298298298298298297297297297297297297297297297296296296295295294294294294295295295295294294294294294294294294294294294294294294294294294294294294294294294294293293293292292291291292291291291292293293293294295295295294295294294294294294294295294295296295296296295293293293294294296297296297297296297296296999999999999298297297296298299299298299299299300300299298299300299299297298297297297296296296296295296295297298299302999999999999295298299999999999999301302303304304304303303999999999999297297296294298299300301300300301301301301301300298298298298298298298298298297298298298297297296296296295296296295295295295295295294294294294294294294294294294294294293293294293293292292293292292292292291292293292293293293293293293293293293293294294294294294293293293293293293293292292292292293293293293294294294295295294294294294293293293293293293294294294294294294294294294294294294295294295295295295294294294295295295295295296296295295295295295295294294294295295295295295295296296296296297297297297297297297297298298297297297297297297297297297298298298298298299299299299300300299300300300300300299299299299299299299299299300300299300300300301300301301301301301300301301301300300300300300300300301302302302302302302303303303303304304304303302303303303303303303303303302302301302301301301300300301301301302302302301301301300300301300300301301300301301301300301302301301300301301301301301301301301301301301301301302302302302301301301302302302302302303303303302302302302302301301300301300300300300300300300300301300300301302301303302302304305305305304304305303303304304304303302303303303302302302302302302302302302302302301302301301301301301301301301302302301301301300301301300299300300300299299298299299299299299299299299299299299298298298298298298298298298298298298299298298298298299298298298297297297297297297296296296296296296296296295295295294294294294294294294294294294294294294293293293293293293293293293293293293293293293292292292292292292292292291291291291291291290290290290290290290290290290290289290290289290289289289289288288288288288288288287287287287287287287287287287287287287287287286286287287286286286286286286286286286286286286 297298299299298298298299298297298298298297297297297298298298298299299298298298298298298298298298298298298297297298298999999298299299298299999999999999999999999999999999999999999999999999999999999999999295298299298298299298298297296296296296297297297297297297297297297297297297297297297297297297297297297297297296296295295294294294294294294295295294294294294294294294294294294294294293294294294294294294294294294294294293293292292292292291291291291291291291291292293293293294294294294294294294294295295295295295296296295296295295294294295295295297296296296296296297297298999999999298298298297298298299299299299299299299299299298299299299299298298296297295296296296294295295296296298299300999999999999297299298999999300300300303304305305304302300999999293294295297296999297297299301301300300301301301300299299298298298298298298297297297297297298298297296296296296295295295295295294294294294294294294294294293293294294293294293293293292293292291292292292292292291293293293292292293294293293293293293293293294294294293293294293293293293293293293292292293293293293294294294294294294294294294293293293293293294294294294294294294294294294294294294294294294295294295295295294295295295295295296296296296295296295295295295295295295295296296296296295296296297297297297297297297297297298298297296296297297297297298298298298298299298299299299299300300299299300300299299299299299300299299300300300300300301301301301301301301301301301301301301301301300300300301301300302301302302302302302303304303303303304305304302302303303303303303303302302302301301301301301301301301302301302302302302302301301301300300300301301301301301301301301301301302302301302300301301301301301302301302301301302302302302302301301301302302302302302303303302302302302302301300300300300299299299299298299299300300301301301300301301301303304304304304304304304304304303303303302302302303302302302302302302302301302302302301301301301301300300301301301301301301300300300300300299299299299299298298298298299299299299298299298298298299298299298298298298298298298298298298298298299298298298298297297297297297297297297297296296296296296296296295295296294294294294294294295294294294294294294293293293293293293293293293293293293293293293293293292292292292292292291291291291290290290290290290290290290290290290290290290289290290289290289289289288288288288288287288287288288287288287287287287287287287287287286286287286286286286286286286286286286286286286 297298299299299299299299299298298298298298298298298298298297298299299298298298298298298298298299299297297297297297296297295299299299299298298297999999999999999999999999999999999999999999999999999999999999298300299299299298297297297296296297297297297297297297297297297297297297297297297297297297297297297296296296296295295294294294294294294294294294294294294294294294294294294294294295294294294294294294294294294294293293293293292292292292291292291292292292292292292293293294294294294294295295295296296295295295296295295295294294294295295295295296296296297297296296999999999999298296298298298298299299300299299299299299297297297299299299299298298297298296295295296294294296296295297298299999999999999294297999999298299300301302999304305304301300999999295295296297295999296297298299300300301301301301300300298298298297297297297297297297297297297297296296296296295295295295295294294293294294293293293293293293292293293293293293292292291292292291291291292291292292292293291291292293293293293292292293292293293293293293293293293293292292292292292292292292292292292293293293293293293293293293293292292292292293293293293293293294293294294293294294293294294294294294294295295295295295294295296295295295296295294295294294295294295295295295295295295295296296297296296296297297297296296297296296296296296297297297297297298297298298298299299299299299299299299299299299299299299299299299300299299300300300300300301301301301301301301301301301301300300300300300300301301301302302302302302301302302302302302303302301302302302303303302301301301301301301301301301300300300300300301301301301301300300300300300301301300300301301301300301301301301302302301301300300300300301301301301301302302301302301300301300301300302302302303303302302301302301301302301301301300299299299299299299298300300300300301301300301302303304304304304304304304304303303303303303303303303302302303303302302302302302302302301301301301301301301301301300301301300300300300300300299300299299299299299298298299298298298299299298298298298299299298298298298298298298298298298298297298298297298297297297297297297297297297296296296296295295295295295295294294294294294294294294294294293294294293293293293293293293293293293293293293293293293292292292292292292292292291291291291291290290290290290290290290290290290290290289289289289289289289289289289288288288288288288288287288288287288287287287287287287287287287287287286287286286286286286286286286286286286 297298299299300300300300299299299298298298298298298298298298299299299299298298299298298298299298299298298296297298297298296297298298298298299299298298999999999999999999999999999999999999999999999999999298298298298298298298298297297296297297297297297297296296296296296296296296297297297297297297297296296296296295295294294294294294294294294293294294294294294294294294294294294294294294294294294293294294294294294294294294294293292292292292291291291293292292292293293293293294295295294295295295295296295295295293296295295295295295294295295295296296295296296297297297999999999999296296297297298298299299299300299297298297296297297298298298298298297298298296295294295294294294295296296298999999999999294295999999297298299301301999999999999301301299296295295295296296295294999296298298299300301301301301301300298298298297298297297297297297297297297297297296296295295295295295295294294294293293293293292292293292292292293292292292292291291291291292291291291292292292292292291291292291292293293293292292293293293293293293293292292293293292291292292292291292292292292293292292292292292292292292292292292292293292292292292292293293293293292292293293293293294294294295295295295295295294294294295295294295295294295295295295294294294295295295295296296295297294296297296296296297296297297296296296295296296296296297297297297298298298298298298298298299299299299299299299299298298299299299299299299299300300300301301301301301301301301301301301301300301300300301301301301301301302302302301301301301302302302302302302302302302302302302302301301301300301301301301301300300300300301300301301301300300300300301301300301301302300302301301301301301300302302301300301300300300301301302301302301301302301301301302302302302302302303302303302302301301301302301300300300300299300299299299299299300299300300300301302302303304304304304303303304303304303304304303304303303302302303302303303303301301302302301301302301301301301301301301301300300300300300300299299299299298299298298298299299299299299298298298298298299298298298298298298298298298298298297298297297298297297297297298296297297296296296296296295296295295295295294295294294294294294294293294293293293293294293293294293293293293293293293293293293293293292292292292293292292292292292291291291291290291291290290290290290290290290290290290290290289290289289289289289289288288288288288288288288288287287287287287287287287287287287287287286287287286287287287287286286286286286 297298299300301301300300300299300299299298298298298298298298299299299299299299299298298298298299299298298298298298298298297297298298298298298299299300301999999999999999999999999999999999999999999999296298299299298298298298297297296297297297297297296297296296296296296296296296297297297296297296296296296296295295295294294294294294294294294294294293293294294294294294294294294294294294294293294293293294295294294293293293294293292291292291291291292293292292293293293294294294295295295295295295295295295295294294295295295294295294295295295295296296295296297298298999298298297297298297297297298298299298298297297297297298297297296295297297297297297297296295295294296295294295294999999999999999999999294294999999298298298301999999999999999297299298296296294294294296295295297296297299999300301301301301301299298298298298298297297296296297297296297297296296295295295295294294294294293293293293292292292292292292292292292293292291291291291291291291291293291292292292292292292292292292292293293293292293293293293294293293293293293293292292293292292292292292292291292292292292292292292292292292292292292292292292292293292292293293293293293292292293294294294294295295295296295295294294294294295294294294295295294295295295295295294295295295295295296296296296296297296297297297297296296296295294295296296296296297297298297297298298298298298299298299298299299299298298299299298299299298299299300300300300300301300301301301301301301301301300301301301300300301301301301301301301301301301301301301301301302303302302302302301302302302301301301301301301301301301301301300300300300300300300300300300301300300301301301301302302301301301301301300301302300302301301300300300301301301301302302301301301302302301302302302303303303303303302302301300300301301300300300300299299299299299299299300300300301300301301302303304303303304303303303304303303303304303303303303303302303303303302302302302303302302302302301301301301300300301301300300300299299299299299299299299298298298299299299300298299298298298299299298298298298298298298298298298297298297297297297298298298297297297297297297296296296297297296296295295295295295295294294294294294294294293293293294293293293294293293294294294293293293293293293293293292292293293293292293292292292291291291291291291291291290290290290290290290290290290290290290290290289289289289289289288289288288288288288288288287288288288288287287287288287287287287287286287287287286287286286286287286 297298299301301301301300300300299299299299299298298298299298299299299298298299298298298298298298298298298298298298297297298298297297298298298297299301999999999999999999999999999999999999999999999999297298299298298298298298297297297297297297297297296296296296296296296296296296296297297297297296296296296295295295295294294294294294293294294294294294294294294294294294294294294294294294294294294294294294294294294294293294294294292292291291291291292293293293293293294294294295295295295294295295295294295295295295295295296295294295295296295296296296295296297297999299298298297296297298297298299298297297297297297297298297296296296296298296298296296296294294295294295294294294999999999999999999999295294293999999297297999999999999999999999298298298297296296295294295295294297297299301999299301301301301301300299298299298298297296297297297296296296296296295295295295294294294293293293293293292292292291292292291291292292292291291291291290291291291291291291292292291291291292292292292291292292292293292293292293293293293293293293293293292292291292292292292292292292292292292292292292291291292292291291291291292292292292292292293293293293293292292293294294294294295294295295294294294294294294294294294294294294294294294294294295295295295295295295295295295295295296295296296296295295295295295295296295296296297297297297297297297297298298298298298299299299298298298299297297299299299300299299299300300300300301300300301301301301301301301301300300300300301300300300301301301301301301301301301301302302302302302301301301302302301301301301302301301301301301301301301300300300300300300300300300300300301301301301302300302301301301301300301300301302301302300301300300301300301301302301301301301302302302302303302303303303302301302301300300300300300300300300300299299299298299298298300301302301301301302302303304303303303303303303304303304304304304304304304303303303303304303303303303301301302302302301301301301301300300300300300300299299299299299299299299298299299300298298299298298298298298299299298298298298297298298298298297297297298298297297297298298297297297297296297296297296296296296296296295295295295295294294294294295295294294294294294294293293293293293294294293293293293293294293293293293293292293293292292292292292291291292291291291291291290290290290290290290290290290290290290290290289289289289289288289289288288288288288288288287288287287288288287287287287287287287287287287286286286286286286286286286 299299300301302302301301301300300299299299299299299299299299299299299298298298298298298298298298297298297297298297297297297297297296297297297296298999999999999999999999999999999999999999999999999297298298299298298298297297296296296296296296296296295295295295295295296296296296297297296297296296296295295295295294294294294293293293294294294293294294293294294294294294294294293294293294294293294294294294294294294294293294294293293292292292292292292293293294294294294295295295296295295295295295294295295295295295295295295295295295294295296296297296296297298999999297297297297297297297298298297297297297297297297297298297296298297296297298296297296296297294295295294293294294999999999999999999999293294999999297296296999999999999999999999999294295296296296295295296999999298299299300302301301301301301300300299299299298298297297297297297297297296296296295295295295295294294293293293292292292292292292292292291291291291291291291291291291291291291291291291291291291291291292292292291291292292294293292292292292293293292292293293293293292292292292291291291292292292292292292291292292292291291291291291291291291292291293292292292293293292292292292292293294294295295295295294294294294293293293294294293294294294294294294294294294295295295295295295295295295295295295295295295295295295295295295295296296296296297297297297297297297297297297298298298299299299299298298299299299299299299300299299299299300300300300301300301301301302301301300300300300300300301301300300301301300301301301301301301301302301301302302302302302302302301301301301302301301301301301301301300300300300300300300300300299300300300300301300301301301300300300301301300300301301301301301301301301301301301302302302301301302302302302302303303303303303302302302302300300300300300300300299300299299299299299300300300302302303301301302302305304303303303303304303304303303303303305305304304304303304303304303303304303302302302302302302301301301301301301301300300300300300300299299299300299299299299300299299299299299299299299299299299299299298297298298298297297297297297297297297296297298297296297296296296297296296295295295295295295295295294294294295294294294294294293293293293293293293293293293293293293293293293293293293292292293293292292292292292292292292291291291291291291291291290290290290290290290290289289290289290290290289289289289289289289289289288288288288288288288288288288288288288287287287287287287287287287287286286286286286286286286 298299300301302302301302301301301300300300300300299299299299299299299298298298298299298298298297298298298298297297297296297297296296297297297296297999999999999999999999999999999999999999999999999999298298298298298297297296296296296295296295295295295295294295295295296296296296296296296296295295295295295295294294294294293293293293293293293293294293293293294294294293294293293293293294293293293294294293294293293293293293293293293291291292292293293293293294294294294295295295294294294294294294294295295295294294295295294295295295295296296297297297297296999999999297297297297297297297297298297298298297297297297297297295297299298297298297297296297296296296296295294292294295999999999999999999999294294999999296297297999999999999999999293293294294294294295296297297999999298299300999302302301302303302302302300299299298298297297297297297297297296296295295295295294294294293293293293293293292292291291292291291291291291292291291291291291291291291291291291291291291291291292291292291293292293294293292292292293292293292292292293293293293293292292292291291292292291292292291291291292291291291291291291292291291292292292292292292293293292292292292292293294295295295295295295295294294293292293293294294294294294294294294294294294294294295295295295295295295295295295295295295295295296295296295295296296296297297297297297297297297298297298298298299299299299298299299299299299299300299300299299300300300300301301301300301301301301301301300300300300300300300301301300300301300301301301301301301302302302302302302302302302302302302301301301301301301301301301301300300300300300301300300300301300301301301301301301302301301299299300300301300301301301301301302301301301302302301301302301301302302303303303303303303302302302302302302301300300300300301300299300300300298299299300300299300301300300301301302302304304303304303303303303303303303303304305305305303303303303303302303303303302302302301302302301301301301301301301300300300299299299299299299299299299299299299299299299298298299299299298298299298298298298298298298298297297298297297296297297297296297296296296296296295295296295296296296296294295295295294294295294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292291291291291291291291290290290290290290290290289290290290290290290290290290290289289289289289289289288288288288288289288288288288288288288288287287287287287287287287287286286287286286286286 300300301301302302302302301301301301300300300300299299299299299299298299298299299299298298297297298298298297297297297296296297297297297297297297999999999999999999999999999999999999999999999298999299298298298298297297297296296296296296295295295294295294294295295295295296296296296296295295295295295295295295294294294294293293293293293293293293294293294294294294294294294293293293293293293293293293293294293294294292292293293293293291292292293293293293293294294294294294294294294295295295295294295296296296296295295295295296295295296296296297298297297999999999999296297297296296297296296296296296296297297297297296296297298298297297297296295296296296296296294294292291293294294999999999999999999293293999295296296295293295293293292293293293294294294295296296298300999999999299299299302303303303304302302301299299298298298297297297297296296296296295295295294294294294293293293293293293292292292291291291291290290290291291291291291291290290290290290290290290290291290291291292292291293292293293292292293292292292292291290291292292293293293292291291292291291291291291291291291291291291291291291291291291290290292291292293292292292292292292292292292999293294294294294294294295294294293293292294294293294293293293293294293294294294294295295295295295295295295295295295295296296295295295296295295296296296297297297297297297297297297297297298298299298299299298299299299299299300299299300299299300300300300301301300300300301301301301300300300301300300300300300300300299301300300301301301301301301302302302302301301301301302301301301301301301301301302301300301300300300300300300300300300300300300300300300301300301300300300299299300300299300302301301301301301300301301301301301301302302301302301302303303303302302301301301301301301300299299300300300300300299299298298299300300299300301299300301301302302304303303303303303302302303303302303303303304305303303303303303303302303303303302302301302301302301301301301301301300300300299299299299299299299299299299299299299299299299299299299299298299299299299298298298298298297298298297297297297296297296296296296296296295296296295296295295295296295294294295295295295295295295294294295294294294294293293294293293293293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291290290290290290290290290289289290290290290290290290290290290290290289289289288288288288288289288288289289288288288288288288288288288287287287287286286286287286286286 301302302302303303303303303302302301301301301300300300300299298299299299299298298298298298298298298298298298298297297296296297297298297297297297999999999999999999999999999999999999999999297299299299299298297296296295295294294295294294294294294294294294294294295295295295296296296296295295295295295295295294295294294293293293293293293293293294293293294294294294294294294293293294293293293293293293293293293293293292293293293293291292292292293293293293294294293294294294294295294294295295295295295295296296295295295295295295295296295297297298299299999999999999295295296296296296296295296297296295296296297297297297297298298298298297297296296296296295296294293293293293293295295294999999999999999999290999295296295295294294293293293293293294294295294296296297298299300304999999999302302302302303304302302301299298298297298297297297297296296296296295294294294293293293293293292293292292292292291291291290290290290290290291290290289290290290290290290290290290290290290290291291292291292291291292292292292292292292292292291292292292292292292291292291291291291291291291290291291291291291291291291290291290290292291292291292292292292292292292292291292292293293294294294294294294293293294294294294293293293293293293293293294294294294294294295294294295294294295295295295295295295295295295295295295295296296296297297296297297297297297297297298297298298298298299299299299299299299299298299299299299299299300300300300300300301301301300300300300300300299299300299299299300300300300300300300300301301302301301301301301301302302301301301301300301301302302301301300300300300299299300300299300300300300300300301301300301300300299299300299299300300300300301302302301300301302302301302302302302301301302302302302302302301301301301301301300300300300300300300300299298299298298299300300302301300299300301301302302303304303303303303303303302303303303303303304304304303303303303303303303303303303303303303302301302301301301300301300300300300300299298299299299299299299300299300299299299299299299299299299299299299299299298299298297297297297297297296296296296296296296296296296296296295295295294294294294294295295295295296296296296295294295294294294294294294294294293293293293293293293293293293293293293293293293293292293292292292292292291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287286 301303303304304304304304304303302302301301301300300300300299299299299298298298299299299299298298298298298297297298297297297297297297297297298298999999999999999999999999999999999999999999298298298297297296296295295294293293293293293293293293293294294294294294295295295295295296296296295295295295295295295294294294294293293293293293293293293293293294294294294294293293294293293293293293293292293293293293292293292293293293292292292292293292293292293293293293293293293294293294294294294294295295295294294296296296296295295296295295296297298298298999999999999297296296297296296297297297296296297296296295296298296298298298298299298298298297297295295295294295296295294294294295297297295296999999999999999294295295295295295295294294293293294294295295297297297298298298302999999999999304302302301303303303302300299298298297298297297297296296296296295294294294294293293293293293292293292292292291291290291290290290290290290290290289289289290290289289289290290290290290290290291292291290290291292291291291292291291292292292292292291291292292292291291291291291291291291291291291291291291291291291291291290290291291291292291291292292292292292292292291292293293294294294294294294293293293294294294294293293293293294293294293293293294294294294294294295294295294294295295295295295295295295296295295295295296297297297297297297297297297297297297297298298298298299299299299299299300299299298298299299299299299300300300300301300300300300300300299300300300300299299299300300300300300300300300300300300301302301302301301301301301301301301301301301301301301301301300301301300300300300300300299300300300300300300301301301300300299300299300300301301301301300301301301300300301302301302302302303303302301302302302302302301302301301302301301301301301300301301300300299299299298299299301300301300300300300301301303303302303303303303303302303303303302303303303303303304303303302303303303303302303303303302303303301301301301301301301301300300299299300299300299299299300299299299300300300299299299299299299299299299299300298298298297297297297297297297297296296296296296296296296295295295296295295295294294294295294295295295295295295295295295295295295295294294294294294293293293293293293293293293293293293293293293293293293293292292292292292292292291291291292292291291291290291290290290290290290290290290291290290290291290290290290290290290289290290290290289289289289289289289289288288288288288288288287287287287287287287287286287 303304305305305304304304303303302302301301301301301300300299299299299299299299298299299298299298298298297297297297297297297297297297297297298297999999999999999999999999999999999298298297297297296296295295295295294293293293293293293293293293294294294294294294295295295295295295295295295295295295295295295294294294294294293293293293293293293293293293293293293293293293294293293293293293292292293293293293293293293293293293292292292292292292293293293293293293293294294293293294294294294295294294294295296296296296296296295296296296296297297299999999999999296296296295296297297297296296296296295296296296296297297297298297297298298298297297297297295296295295295294295294294296294297295293294999999999999294294294294294294294294294294294295295295295297296296297298299301999999999999999300999301301303302300299298298298297297297297296296296296295294294294293293293293293293292292292292291292291291290290290289289289289290289289289289289289289289289289289289289289290290290290291291291291291291291290291291291291292292292291292291292291291292291291291291291291291291291290291291291291291291291291291290291290291292291291292292292293293293292293292293293294294294294294294293293293294294294293294293293293294294294294293293294293293294294293294294294294295294294295295295294294295295295295295295295296296297297297297297297297298298297297297298298298298298298299299299299298299299298299299299299300300300300300300300300300300300300300300300300300299299299299299300300300300299299300300300301300301300300300301301301301300300300301301301301301301301300300300300300300300299300299299299300300300300300300300301301300300300300300300301300300301301301301301302300301301302302302302303303302301302302302301301302301301301302301301301301301301301299300300300300300299299300301300302301301301300302301302302302303303303303302303303303303302302301303303303304304304303303302302302303302303303303303303302301302301301301302300300300300300300300300300300300300299299299300300300299299299299299299299300300299299299298298298298297297298297297297296296296296296296296296295295295294294294294294295294295295294295295296295295295296296295295295294294294294294294294294293293293293293293293293293293293293293293293293293292293292292292292292291292291292292291291291291291291290290290290290290291291291290290290291290290290290290290290290290290290290290290290290289289289289289288288288288288288288287287287287287287287287287 304305306307305305304303304303303303302302303302302301301300300300299299299299299299298298298298298298297297297297296297297297297297297297297298999999999999999999999999298298297297296296295295295295294294294294293293293293293292293292293293294294294294294294295295295295295295295295295295295295295295295294294294294294293293293293293293293293293293293293293293293293293293293293293293293292293293293293294294293293293293292291292292292292293292293293294294294294294293294294294294295294294294294295295296296296296297296296297297297297999999999999297296296296296296295295295296296296296296296296297296296297297297298298297298298297297297297297295295296295295295295295296297295295296293292999999999293294293999999293294294294294295295294295297999296297297298300300301999999999999999999999301301301301299299298298298297297297297296296296295295294294293293292292292292292292292292291291291290290290290290289289289289289289289289289289289289289289289289289289289289289290290290291290291291291291290292291291291291291291291291291291291291292291291291291291291291290291290291291291291290290290290291291290291291291291291291291291292292292292293293293293294294294294294293293293293293293292293293293293293294294293293293294294293293293293293294295295294294294294294295294294294294294295294294294295296296296296296297297297297298298297298298298298298298298298298298298298298298298298299298299299300300299299299299300300300300300299300299300300299299299299299300299299300300300299300300300300300300300300300300300301300300300301301300300300300300301300300300300300300300300300299299299300300300300300300300300301300300299300301301302300300301301300300301301301302301302302302302302302302302302303302302302302301302302302302301301301302302301300300300300300301300301301301301300300300301301301302301302303303302303302302302303303302302302304303303303304304304303303303304303303303303303304303303303302302301301301301301301301300300300301300300300300300300299300299300300300300300300300299299299299298299299299298299298297298297298297297297296296296296296297296296296295295294294294294294294294294295295295295295295295296296295295295294295295294294294294294294293293293293293293293293293293293294293293293293293293292292292292292292292291292292291291291291291291291291290290291291291291291291291291291290291290290290290290290290290290290290290290289289289289289289289289288288288288288288287287287287287287287287 304306307307307306305305303304304304304303303303302302301301300300300299299299299298298298298298298297297297297296296296297297297297297297298298999999999999999999999297297297296295295295295295295294295294294294293293293292293293293293293293294294294294294295295295295296295295295295295295295295295295294294294294294293293292293293293293293293293293293293293293293293293293293293293293293293293294293293294293293293293292292291292292292292292293293294294294294294293294294294294294294294294294294295295295295295296296296297297297297999999999999297296296294294296296296296296297296296295295296296297296296296296297298298298298298298296297297297296296296295295296295295296296296295297294293291291291292293293293293294295295294295294294295296297297297298297298300299302999999999999999999999301301300300298298298298297297297297297296296296295294294293293293292292292292293292292291291291290290290289289289289289289289289289289289289288289289289289289289289289289289289289290290290290291291291290291291290291291291291290290291291291291291291291291290291291291290290290290291291291291290290290290290290290291290290290291291291291291292292293292293292293294294294294294293293293293293293293293292293293294294292293292294294294293292292293293294295294293293294294294294294294294294294294294294294295295295296296296297297297298298298297298298298297298298298298298299298297297297298298299299299299299299300299299299299300299299299299300299299299299299299300299300300300300300299299300300300300300300300300300300300300300300300300300300300300300300301300300300299300299299300300299299300300300300299299300300300300300300300301301302302301301301301301301301301301301302301301301301302301301301302302302302302302303302303302302302301302301301301301300301301301301302302302301299301301301301301301302301301302302303303302302302303303303302302302303303303303304304304304304303303303303303303303303303303301302301301301301301301300300301301301300301300300300300300300300299300300300299299300299299299300299299299299298298298297297296297297297297297296296297296296296296296295295295294295294294295295295295296295295295296296296296296295295295295295294295294294294294293293293293293293293294293293293293293293293293293293293292293292292292292292292292292292292291292291291291291290291291291291291291291291291290291291291291291291290290291291291291291290290290290289289289289289289289288288288288288287288287288287287287 305306307307307307306306305305305305304304304303303302302301301301300299299299299299298298298298297297298297297297297296297297297297297297297298999999999999999999297297296295295295294294294294294294294294293294293293292292292293293293293293293294294294295295295296296296296295295295295295294294294294294294294294294293293293293293293293293293293293294294293293293293293293293293293293294293293293293294294293293293293292292292292292292292293293294294294294294294294294294294294295295295295295295295295295296296296297297297297297999999999999296296295295295294295296295296297296297297297296295295295295296294295295296296297297297297297298298298297296296296297296296296296295295296297296293292292292293293293294294294295295295295294295295296297298999297298297999999999999999999999999999999999299300300298298298298297297297297296296295295294294293293293292292292292292292292292291291290290289289290289289289289288289289288288289289289289289289289289289289289289289289289289289289289290290290291289290290291291290290290290290290290290290290290290292291291290291290290290290290290290290289290290290290290290290289290290291291291291292292292292292292293293293294294294293293292292293293293292292292292293293292293292293294294294293293293293293293294293293293294294294294294293294295294295294294295295295295296296297297297297298297297297298298298297298298297297298298298298297298299299299299298298299299299299299299299299299298298299298299299299299299300300299299299299299299300300300300300300300299300300299299299299299300300300300300300300300300300300299299299299299300299299300300300300300300300300300300300300300300301301302302301301301301302302301302302302301301301301300301301302302302302302302302302302303302302302302302301302302301300301301301301301302302302302300301301301301302303302302302302302303303302302302302303302303303303303303303302304304304304304304302303303304303304303303303302303301302301301301301300300301301301301300300300300300300300300300300300300300300299299300300299299299299299299298298297298297297297297297297297297297296296296296296296296294295296295295295295295295295295296296296296296297296296296296295295295295294294294294294293294293293294293294293293293293293294293293293293293293293293292292293292292292292292292292291291291291291291291291291291291291291291290290291291291291291291291291290291291290290290290290290290289289289289289289288288288288288287288287288287287287 305305306307307307307306306305306306305304304304303303303301301300300299299299299299298298298298297297297297296296296297297297297297297297297298999999999999999297296295294294294294294294294294294294294293293293293292292292292293293294294293294294294294295295295296296296295295295295295295295295294294294294294294293293292292293293293293293293293293293293293293293293293293293293294293293293294294294294294293293293293293292292292292292293293293294294294294295295294295294295295295296295295295296295295295296296296297297298297999999999999295295296296295296295296296295294296296297297296295294295296296295295295297297297297297298298298298298297296296296296296295296295297298297298297295294293293293294294294295295295295295296296296296296297298299999999302301999999999999999999999999999999999299300300298298298297297297297297296296296295294293293293293292292292292292292291291291291290290289289289289289288288288288288288288288288289289289289289289289288289289289289288289289289289289290290290289290290291290290291289290290290290290291290290291290290290290290290290290290290290289289289289290290290290290290291290290291291291291291292292291292292293293293293294293292293292292292293293293292292292293293292293292293293293294294292293293293293293293294292293292293293293294294294295295295295295295295295296296296296297297297297297297297298298298298298297298298298298298298298298298299299298299299299299299299299299299299299299299299299300299298299299299299299299299299299299300300300300299299299300300299299300299299299299300300300300299300300300299299299299299299299299299299300300299300300300299300300300300300300301302302302303302302302302302302302302302302301301302302302301302301302302302302302302302302302302303302302302301301302302301302302302302302302302301301301301302301302303303302302303302302303302303302303303303303303303303302302303304303304304303304304303304304304304303303304302302303302302302302302301301301302302301300301301301300300301301300300300300301301300300300300299299299299300299299298298297298298298298298298297297297297297296296297296296296296296296296295296295296296296296297296297296296296296296295295296296295294294294294294293293293294294294294293293294294294293293293293293293293293293292293293292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290291291290290289289289289289289288288288288288288288288287287287 306307307307306306306306305305305305305305304303303303302302301301300299300299299298298298297298298297297297297297296296297297297297297297298299298999999999999296295293293293294294294294294294294293293293293293293293292292292293294294294294294294295295295295295296296296296295295295295295295294294294294294294294293293292292293293293293293293294293293293293293294293293293293293293293293294293293293293293293293292292292292293292292292293293293293294294294295295294295295295295295296295295296296296295295296296297297296297999999999999294294295295294295295296296295295296296296296297294296294295295295295296297297296297297297298298298298298297296296296296296296296294297296298297297295294294294295295295294295295296297297296296296296296298300301999999999999999999999999999999999999999999298299299299299298298298297297297297296296296295294293293292292292292292292291291291291291290290290289289289289289288288288289288289288288289289289289289289289289289289289288288288289289289289289290289289289290289289289290289289289290289290290290290290290290289290290290290290290290290290289289289290290290290290290290290290290291291290291291292292292292292292292292293293293293293293293293293293293292291292292292292292292292293292293294292293293293293293293293293292293293292293294293295294296294296296296295296295295296296297297297297297297297298298298298298298298296297298298297298298298299299299299299299299299299299299299299298299299299299299299298299300300299300299299299299299299299300300300300300300300300300300300299299299300299299299299300300300299299299299299299299299299299299300300300300300299300300300300300300301301302303303302303303302303302303302302302302302302302302302302302302302302302302303302302302302302302302302301302303302301301301302302301303302302302302301301302303302302303304302302303303302303303303303303303304303303303304303304303304304304304304303304304304303303303304303303302303302302302302302302302302302301301301302301300301300300299300300301301301301300300300300300300300299299298298298298298299298297298297297297298297297297297297297297297296297296296296297296296296296297297296297297297297297297296296297297295294294295294294294293294294294294294293294294294294293293294294294294293293293293293293293293293293293292292292292291292292292292292292292292292292291291291291291291291291291291291291291291291291291290291290290290290290289289289289289288288288288288288287287287287 308308306305306305305305305305305305305304303303303302302301301301301300299300299299298298297297297298298297297297297297296297297297297298301297999999999297297295293293293294294294294294294294294293292292293293293293293293293294294294294294294294295295295295296296297296296295295295295295295294294294295294294294293293293293293293293293293294294293293293293293294293293293293293294294294294294294294293293293293292292292292292292292292292293293294294294295294295295295295295296296296296296296296296296296296297296296297999999298295296296296296297296296296296296295296297296296297296296295295295296295296296297297297297298297298298298297297297296296296297296296295295295297297296298297297296294295295296999297296296297298297298297297297299301302999999999999999999999999999999999999999299298299299299299298298297298297297296296296295295294293293293292292292292291292291291291290291290290289289289289289288288288288288288288288288288289289289289289289289288287288288289289289289289289289290289289290289289289289289289289290290290290290290290290290290290290290290290290290289289290289289290290290290290290290290290290290291291291291292292292292292293292292292292292293293293293293293292293292292292292291292292292292292293293293293293292292293292293294293293293293293293293294294294294295296296296295295295295297296297297297297297297298297297297296297297297297297296297297297298298299299298299299299298299298299299300299298298298299299298298298299299299299299299299299299299299300299299299299299299299299299299299299299300299299299299299299300299299299299299298298298299299299299299299299300299300300300300300300300300302303303303303303303303302302302303302302302302302302301302301302302302302302302302302302303302302302302302302302302302302302301302302302302303302302302302302302302302303303302302303303303303303302302303303303303303303303303303303304304304305304304303304303304304304304304304304303302302303302302302302302303303302301302302302302300301299300300301301301301300300300300301300300300299299298298298298298298298298297297297298297298298298298297298297297297297297297296297297297297296296296296297297297297297297297296296297296295295295295294294294294294293294294294294293294294294293293294294294294293293294293293294293293293292293292292292292292292292292292292291292292292291292292292292291291291291291292291291291291291291291290291291291290290290290289289289289289288288288288288288287287 310308304304305305305305305305306305305305304303303302302302301301302300300299299299298298297297297298298298297297297296297297297297297297300300299298298296294293293293294295295294294294294294294293293293292293293293293294294294294294294294294295295296296296297296296296296296295295295295295295295294294294294293293293293293293293293293294294293293293293293294294293293294293294294294294294294294294293293293292293293293293292293292293293293294294294294295295295295295296296295295295296296296297297297297297297298298999999999295296297295295296296297296296297297297297297296296296296295296295295297296297296297296298298297297298298297297296297297297298297297296295295295295296296295298297296294294294999999999999296297298298298299299999300300302999999999999999999999999999999999999999299299299299299299298297297297297296296295295295294294293293292292292292292291291291291291291291290290289289289289289289288288288288288289289288288288288288288288288288289288289288289289289290289290289289289289289289289289289289289289289289289290289289290290290290290289290290290290290290289290290290290290290290290290290290290290290290290290290291292292292291292292292292291292292292293293293293292292292292292291292292292292291292293292293293293293292292293292293293293293293292293294294294294294295296296295295295296295296296297297298297297297297297297297296297297297297297296297297297298298298299298298298298298298298298298299299298298298298298298298298298299299299299299299299299299299299299299299299299299299299299299299299299299299299299299300299299299299299298299298298299299299299299299299299300300299299300300300301300301301303302302303303303303303303303303303303302302302302302302302302302302302302302302302301302302302302302302302302302302302302302302301302302303302303303302302302302302303303303302303303303303302302303303303303303303304303303303303304304304305304303304303304304304304304304303304304303303303303304302302303303303302302303302302301300301300300300301301301300300300301301300300299299299299298298299298298298298298297298298299298298299298298298297298298298297298298298297297297297297297297298298297297297297297297296296296295295295295294294294294294294294294294294294294294294294293294294294294294294294294294293293293293293293293292292292292292292292292292292292292291291292292292292292292291292292292292292291292291291291291291291291291290290290290289289289289289288288288288288288288288 999308304303303304305305305305305305305304303303303303302302301301301300300300299299298298298297297297297297297297297297297296297297297297297297297296294293292293294294294295295295294294294294294293293293293293293293293293294294294294294294295295296296296297297297297296296295295296296295295295295294294294294294293293293294294293293293294294294294294294294294294294294294294294294294294294294294293293293293293293293293293293293293294294294294294295295295295295295296296295295296295296296296296296296297297297298298999295297297297296296296296296296297297297296297297297296296296295296296295295297297297297297297297297297298298296295297296295299297297297296296295296296296295295295298294294999999999999999999999999296298298298298999999999999999999999999999999999999999999999999999999999999999298299299298297297297297297296296295295294293293293292292292292291291291291291291291291290290290290290289289288288288289289289289289288288288288288288289288288288289289289289289289290289290290289289289289289289289289289289289289289290289290289290289290289290290290290290290290290289289290290290290290290289290290290291291290290290290291291292292292292291292291292291292292292293293293293292293292292292293292292291291292292292292292292293293293293293293292291293293293292293294294294294294295295295295295295295296296297297297297297297297297297297297297295296297297296296297297297298298298298299298298298298298298298298298298298298297298297298298298298298298298298298298298298299299299299299299300300300299299299299299299299299299299299299299299299299299299298299299299299299299299299299300300300300300300300301300300301302303303303303303303302302303303303303303303303303301303302302302302302302302302302302302302302302302302302302302301302302303302302302302302302303302302302303303303303302302302302303303303303303302302303303303304304304304303303304304304304303304305303302304304304305304304304303304303303303302303303302302303303303303303304302302302301301300302301300300301300301301302301300300300299299299299299299298298298298298298298298299299299299299298298297297298298297297298298297297297297297297297298297297297297298297297297296296296295295295295295295294294294294294294294294294294294294293294294294294294294294294294294293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291290289289289289289289288289289289288288288 999999302302303304305306305305305304304304303303303303302302301301301300300300300299298298298297297296297297297297297297297297296297297297297297296295294294294294295295295295295295294294294294294294293293293293293293293294294294294294294295295296296296297296297296296296296296295295296296295295295294294294294294293294294294294294293294294294294294294294294294294295294294294294294294294294294294293293294293293293293293294294294294295295295295295295295295295295295296296294295296296296297297296297298298298298299298297298297296296297296296297297297297297297297297297297296296297296296296296295296296297297297297297297297297298296295296296296298297297297297296298297296296295296296296295295999999999999999999999999296297299299298999999999999999999999999999999999999999999999999999999999999300299299299298298297297297297296296295295293293293292292291291291291291291290291291291291290290290290290289289289289288288288288288287288288287288287287288288288288289288289289289289289289289290289289290289290289290289289290289289289290289289289289289289289290290290290290290290290289289290290290290290290290290290291291291290291290290291291292292292292292292292292292292293292293293293293293292292293293292293292291292292292293292292293293292293292292292292291292292292293293293294294295295295296296295295295297297297296296297296297297297297296297297296295296296295296297298297297298298298298298297298298298299298298299298299298297297297297297298298298298298298299298298298298299299299299299299299299299299299299299299299299299299299299299299298299299299299299299299299299299300299299298299299300300300300301301301300301301302303303304302302302303303303303303303303303303303302302302302302301302302302302302302302302302302302301302302302302302303302302302303302303303302303303303303303303303303303304303303303303303303302302303303303304303303303304304304303304304305304305305304304304305304304304303304303303303303303303302303303303303303303302302302302301301302302301301300301301301301301301301300300299299299299299299299298298298298298298298298299299299299299298298298298298298298298297298297297297297297296297297297297297297297297296296296296296296295295295294295294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292293292293293293292293292292292292292292292292292292292292292292292292292292292292292292292292291291290290290289289289289288289289289289289288 999999999302303304305305305304304304304304303303303302302302301301301301301300299299298298297297296296297297297297297297297297297297297297297297297296296296295295295295295295295295294294294294294294293293293293293294294294294294294295295295295296296297297297297297296296296296296296296296295295295295294294294294294294294294294294294294294294295295294294295295295294295294294294294294294294294294294294293294294294294294294294295295296296296296296296295295295296296296296295295296296296296297297298298299299299299298999298296297297297297297297297298298297298297296297296295296297296296296297296297297297297297298298297297297297297295297298299298297297297296297297297295295296295296297296296999999999999999999999999297298299300999999999999999999999999999999999999999999999999999999999999999299297299299298298297297297296296295295294293293292292292291291291291291291291290290290290290290290290290289290289289289288288288288288288288287287287287288288288289289289289289289289289289289289289289290290289290290289289289289289289290290290289289289289289290290290290290289289289289290289290290290290290290290290291291291291290291291291291291292291292291292292292292293292293293293293293293292292293293292292291292292292292292292292292292292291291291292292290292293291292292293293293294294295295295294296296296296297297296296296296297297296296296296296296295296296296297297297298296298298298299298298298298298298298298298298298297297297297297298297297298298298298298298298298298298298299299299299299299299299299299299299299299298299299299298298298299298299299299299299299299299299299298299299300300300300300300301301301301301303303304302302303303303303303303303303303303303302302302302302302302302302302302302302302302302302302302302302302302302303302302303303303303303303303303303303302303303303304303303303303303303302302303303303303304304303304304304304304304304305305306304304304304305304304304304304303303304303304303303303303303303303303303302302302302301301301301301301301301301301301301300300300299299299299299299298298298298299299299298299299299299299299299298298298298298298297297297297297296296297297297297297297297296297297296296296296296296295295295295294294295294295294294294294294294294294294294294294295294294295294294294294294294294293293293293293293292293293293293293292292292292293293292293293292292293293292293293292292292292292292292292291291291290290290290289289289289289289289289289289 999999999301302303304304304303303303303303303303303302302302301301301301300300300299299298297297297297297296297297297297297296297297296297297297297297296296296296296295295295295294294294294294294294294294294294294294294294294294295295295295296296296297297297297297296296296296296296296296296295295295294294294294294294294295294294295294294295295295295295295295295295295294294294294294294294294294295294294294294294294294294295295295295296296296296296297296296295296295296296296296296297297297298299300300300299298298297298297298298297298298297298298298297297297296297297296297297297297296297296297297297297297298298297297298296297296297297297298298297296296296297295295295295295295295294999999999999999999999999999297297999999999999999999999999999999999999999999999999999999999999999999999999297298299298298298297296296296295295294293293292292292291291291291290290290290290290290290289289289290289289290289289288288288288288288287287287287287288288288288288288288289289289289289290289289289290290290290290289289290289289289289290290289289289289289289290289289289289289289290289289290290290290290290289290290291291291291291290291291291291291292292292292292292293293293293293293293293293293293293292292292291291291292292292292293292291292291292292292292291290291292292293292294294294295295295296295296296295296296296296296296297296296296297297296294295295296295296296296297297297297298298298297297298298298298298298298297297297297297297297297297298298298298298298298298298298298298298298299299299298299299298299299299298299299299299298298298298298299299299299299299299299299298299299299300300300301301301301302302302302302302303302303303303303303303303303304303303303302302302302302302302302302302302301302301302302303302302302302302302303303302303303303303302302302302302303303303303303303304303303303303302303303303303303304303304304303303304304304304303304304305305305304304304305304304305304304303304303303304303303303303303302302303303302302303302302302302301300301301301300300301300300300299300300299299299299299299299299299299299299299300299299299299298298298298298297297297297297297297297297297297297297297297297296296296296296296296296296296295295295295294294294294294294294294293294294294295295295295295295295295294294294294293294294293294293293293293293293293293293293293293293292293293293293293293293293293293293293293292293293293292292292292292292291291291290290290290290289290289289289289 999999999302302303304303303303302303303303303303302302302302301301301301300300300299299298297297297296296296296297297297297297297297297297297297297296296296296296295295295295295295295295295294294294294294294294294294294294295295295295295296296296297297297297297297296296296296296296296295295295295295294294295294294294294294294295294294295295295295295294294295295295295294294294294294294294294294294294294294294294294295295295296295296296296296296297297296295296295295296296296296297296297298298300301300300301298297299298298299298298298298298298299298297297297297296296296296297297297297296296296297297297297296297298298298298299297297297297296296296296296295296294294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299299298298297296296295295294294293292292291291291291291291290290290290290289289290290289289289289289290290289289289288288288288288287288288288288288289289288289288289289290290289289290290290290290290290290290290290289290290289290290289289289289289289290289289289289289290290289289290290290290290290289290290291291291291291291291291291292292291292292292292292293293293293293293293294293293293293292292292291291291292293293293293291291292291291292292291291292291291291293293293294294295295295296296295295296296296296296296296296296297296295296296296296296296297296296295297297297296298298297297297297298298298298297297297297297297297297297297297298298298299298297297298297298298298298298299298299299299299299299299299298298299299299299298298298299299299299299299299299299301299299300299300300300300300300302301301301301301302302302303303303303303304303303303303303303301301302302301301302302302302302302303302302303302303302302302302302302302303303303303303302303302302301303302303303303303303303303304303303303303303303304303303304304303304304304304304304304304304304304304304304304304304304304304304303303303303303303303302303302302302303302302302302302302302301300301300301301301300300300300300300300300300300299299299299300299299299299299299300299299299299299298298298298298297297297297297297297297297297297297297296296296296296296296296296296295295295295295295294294295294294294294294294294294295295295295295295295295295294294294294294294294294294294292294294294294293293293294293293293293293293293293293293293293293293293293293293293293292292292292292292291291291291290290290290290290290290289289 999999999302303304303303303303303303303303303302302302301301301301301301301300300299299298298297296296296296296297296297297297297297297296296296296296296296296295295295295295295295295295294294294294294294294295294294295295295295295295296296296297297297297297297297296296296296296296296296295295295295295294295295295294295295294294295295294294294294295295294294294294294294294294294294294294294294294294294295294294295296295295295295296297297296296296295296296295296295296296296296297297297298299301301301301302999298300301299299299299299299299298300298297297296297296297297297297296296296296295297297297297297297298298298298298298296297297297297297297297295295294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299299298297296296296295294294293292292292291291291290291291291290290290289289290289289290289289289290289289290289289288288288288287288288287288288288289289289289289289289289289290290289289289290290290290289290290290289289289290290289289289289289289289289289290290290290289290290289290290290290290290290290290290290291291290290291291291292291291291292291292293293293292293293292293293293293293293292291292292291292291292293292292291291291291292292292292292291292292293293293293294294295295295295295296296296295295296296295295296295296295294294294294295296296297296296296296296297297297297297297297297297298297298297297296297296297297297297297297297297297297297297297297297297298298298298298298298298298299299299298299298298299299299299298298299299299299299299299298299299299299299299300300300300300300300301301301301302302302302303303303303303303304303303304303303302302302302301301302302302302302302302303302302302302302302301301302303303302303303303303303303303303302302303303303303302303303304304304303303303304303304304303303303304304304304304304304305305305305304304304304305304304304304304303303303303304304303303303302303303303303303302302302302302302301302301301301302301301301300300300300300300301300300299299299299299299299299299300299299299299299298298298298298298298297297297297297297297297297297297297297297296296295296296296296296296296296296295295295295295295294295294294294294294295295295295295295294295295295294295294294294294294294295294294294294294294294294294293293293293293293293293293293294293294294294294294294293293293293293293292292292292292291291291291291290290290290290290289 999999999305305304303303303303303303303303303303302302302302302301301301300300300299298298298297297297297297297297297297297297296297297297297296296296296296295295295295295295295295294295294295295294295295295295295295295295295296296296296296296297297297297297297297296296296296296296296296295295295295295295295295295295295295295295295295295294294295294294294295295295294294294294294294294294294294294295295295295295295296296296296296297297297297296296295296296295295295296296296296297297298299300300300301302303299300301301302300299300299299298299298297297296296297297297297295297297296295296296296297297297297298298298298297298299297298298297295296296296297294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299298297296296296295295294293293292292291291291291290290290290290290290290290289289289290289289290290289289289289289289288287287288288288289289288289289289288289289289290289289289289290289289290290290290290290290290290289289289289289289289288288289289289289289290290290290290290290290290290290290290290290290290290290290290290290291291291291293291291291291293293293293293293292293293293292292292292292291291291292292292292292292292291291291292292292292292291292292293293293294295294294295295295295295295295296296296296295295295295295295294295295295295296295296296296295296296296296296297297296297297297298297297297297297296297297296296296296297297298297297297297297297296297297298298298298299299298298299299299298298299298299299298298298298299299299298298299299299299299299299299299300299299299299300300301301302301301303303303302303303302303303303303303303303302303303302302302301301302302302302302303302302302302302302301302302302303303303304304303304303303303303303303303303302302303303303303303303302303303303303303303304303303304304304304304304304304305305305305305305305304305305304305304304304304304305303304303303303303303302302302302301301301302301302301301301301301301301301301300300300301301301300300300300299299299299299299299299299299299298299298298298298298298298298298298297297297297297297297297297297297296296296296296296296296296296295296295295295295295295295294295294295294295295295295295295295295295295295295294294294294295295295295295294294294295295294294294294294293293293293293293293293294294294294295295294294294294294294293293293293293292292292292292291291291291290290290290290 999999999999305305305304304303303304303304304303303302303302302301301300300300300299299298298297297297297297297297297297297296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295296296296296296297297297297298298298297297296296297297296296296296296295295295295295295295295295295295295295295295294295295294294294294294295295295295294294294295295294295294294295295295295296295296297296296296297298297297296297296296296296295295296296296296296298298300302302301301301301301301301302301300300300300299299297297297297296296297297298297297297296296296296296296297298297297297298298298298298297297297297296296296296296294296294999999999999999299301999999999999999999297296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298297296296295295294294293292292291291291290290290290290290289290290290289289289289289290290289289290289289289289289288288288288289289289289288289289289289288289289290289289289289289289290290290289290290290290290290289289290289289289288288288288289289289289290290290290290290290290289290290290290290290290290290290290290290290290291291292292290290291291292292292292292292292293293292293293293292292292292291291292292292292292292292291292292292292292291292292293293294293294294294295295295295295295295296295295296295295295295295295295295295295295296296296296296296296295296296296297297296296297297297297297297297296297297297296296296296296296297297297296296297297296296297297298298298298299299298299299299299298299299298299299298298299298299299299298298299299299298298299299299299299300299299299300300301301301301302302302303303303303303302303302303303303303302302302302302302302302301301302303303302301302302302302302302302302303303303304304304303304304302303303303303303303302302303303303303303302303302303303303303303303304304303304303304304304304304305305305305305305305305305305305305304305304304304305304304304303303303303303303302302301302301302302302301301301302301301301301301301301301301301301301301300300300300300299299299299299300299299299299299298298298298298299299299298298298298298298297297297297297297297296297296297296296296296296296296296296296296296296295295295295295295295295296295295296295295295295295295295294295295295295295295295294295295295295294295294294294294294294294294294293293294294294295295295295295294295294294294294294294293293293293292292292291292291291291291290290 999999999999306306306305305305304304304304304304304303303302302301301300300300300299299298298297297298298298297297297296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295296296296297297297297297297298298298298298297297297297297297297297296296296296296296295295295295296295296296295295295295295295295294294295294295295294294294294295294294295295295295295295295295295296296296295296296297297298297297297297297297297297296296296296297296298298299301301301301302302302302301301301301301301300300299299298298297297297297297297297297297296297296296296296296297297297297297298297297297297297297296297297297297296296295296294999999999999297298300999999299298999999297296297296297298999999999999999999999999999999999999999999999999999999999999999999999999999297297297296296295295295294293293292291291291290290290290290290290290289290289289289289290289289289289290289289289289289288288288288289289289289289288289288288289289289290289290290289290289290290290290290290290290290290289290289289290289289289288289289289289290290290290290290290290290290290290290290290289290289290290290290290290290291291291291291291291291292292291292292291291292292293292293293293293292292292292292292292292291292292291292292292292292292291292293293293293294294293294294294294294295295295296295295295295295295295295295296295295295296296296296297296296296296295295296296296296296296296296297296297296296296296296296296296296296296297297296296296296296297296297297297297298298298298298298299299299299298298298299298299299299299299299298298298299299299299299299299299299299299300300300300301301301302302302302302302302303303303302302302303303302302302301301302302302301302302302303303302303302301302302302302303303303303304304304304304304304304303303303303303302303303302303302303303303303303303303303303303303303303303304304304304304304305304305306305305305305306306305306305305305304304304304304304304304303304303304303303303302302302302302302302301302302302301302301301301301301301301301301301301301300300300300299299299300299300299299299299299298299298298299299299299299298299298298298298297297297297297297297297297296297296296296296296296296296296296295295295295295295295295295295295295295296295295295295295295295295294295296296295296295295295295295295295295295295295294294294294294294294294294294294295295295295295295295295295294294294294294293293293293293293292292292291291291291290 999999999999306305305306306305305305304304304305304303303302302301301301300300300299299299298298298298298298297297296296295295295295294294294294294294294294294294294294294295295295295295295295295295295295295295295296296296296297297297297297298298298298299298298297297297297297297297297296296296296296295296295295295296296296295295295295295295295295295295295295295295295295295295295295295295295295295295296295295296297297296296297297297298297298297296297297297297297297296297297298298298299299300301301301302303303303302302301302302301301300299299298298297297297297297297296296296297297297296296296297297296297297297297298297297297297296296297297297297297296296293999999999298299299299999999295999999999296297298298299298295999999999999999999999999999999999999999999999999999999999999999999999999999297297296296295294294293293292292291291290290290290290290290290290290289289289289289289289289289289289289289289289289288289288288288289289289289288288288289289289289289290290290289290290290290290290290290290290290290290289290290290290289290288289289289290290290290290289289289289290289290290290290290290289290290290291290290290290290290290290290291290292292292292292292291292292292292292293293293293292293292292292292291291292292292292292292292292292292292292293293293294294294294294294294294294294294294295295294295294295295295295295295295295295296296296296296296296295296295295296296296296296296296296297296296296296296296297297296296296296296296296296296296296296296296297297297297297298298298298298299299299299298298298298298299299299298298298298298298298299299299299299299298299299299299300300300300300301302302301302302302303302303304303303303302302302302302302302302302302302302302302303303303303303302302302302303303303303303304305304304304304303304303303304303304303303303302302303303303302302303303302303303303303303303303304304304304304304304304305305305306305306306306306305305306306305305305304304304305304304304304303303303303302303303303302302302302302302302302301301302302301302301301301301301301301301301300300299299299300300299300299299299299299299298298299299299299299299299299298298298298298298298297298297297297297297296296296296296297296296296296296296295296296296296295296296295295295295295295295295295295295295295295296296296296295295295295295295295295295295295295295295295294294294294295295295295295295296295296296295295295295295295294294294293293293293293292292292292292291291 999999999999999305306306306305305305304304304305304303303303302302302301301301300299299299299298298298298298297297296295295294294294294294294294294294294294294294294294294294295295295295295295295295295295295296296296296297297297297297298298298298298298298298298297297297297297297297297296296296296296296296295295295296296295295295295295295295295295295295295295295295295295295295296296295295295295295296295296295296297297296297297298298298298297297297297297296296297298297298298298297298300300301301302303303304303303303302302302303302301301300299299298297297297297297296296296296297297297296296296296296296296296296297297297297297298296297297295296296296296295293999999296298299297299302298296297297999295297299299299297295999999999999999999999999999999999999999999999999999999999999999999999999999297296296295295294294293292292291291291290290290290290290290290290290289289289289289289289289289289289289289288289289288288288288289289289289289289289289289289289289289290290290289290290290290290290290290290290290290290290290290290290289999288289289289289290290290290289289289289289290290291290289290289290290290291289290290290290290290291290290290290292292292292292292291292292292292292293293292293292292292292292292292292292292292292292293293293293293292293293293293294294294294294294294295294294295294295295295295293295295295295295295295295295295295296295296296296296296296295295295295295295296296296296296296296296296296296297296296296296296296296296296296296296296296297297297298298298298298298298299299299299298298298298298298299299298298298297297298297298298298299299299299299299299299299300299299299299301302301301303303301302303303303302302302302302302302303302302302301302302302302303304304303302302302302303303304303303304304304304305304304304304304303304303303303303302302302303303304303303302303303303303303303303303303303303304304304304305304305305305305306306306306306306306305306305305305304304304305304304304304304304304303304304303303302302302302302302302301302302303302302302302302302301301301301301301300300300300299299300299300299299299299299299299299299299299299299299299299299299299298298298298298297297298298297297296296297296296297296296296296296296296296296296296296296296295295295295295296295295295295295295295295296296296296295295295295296295295295295295296295295295295295295295295295295295295295295296295295296296296296296295296295295294294294294293293293293292292293292292 999999999999999304305306306305304304304305304304304304303303303302302301301301300300300299299299298299299298297296296295295295294294294294294294294294294294294294294294294294295295295295295295295295295295296296296296297297297298297297298298298298298298298298297297297297297297297297297296296296296296296295295295296296295295295295295295296295295295295295296296296296296296296296296296296296296296295295296295296297297297297297297297297298297297297297298297297297298298298298298299300301301302303302304304303303303302302303303303303302302300300299299298298297297297296296296297297297297297297296296296297296296296297297297297297297297297296295295295296295295294999999999999297298297298999297297298297296296298298298298297296298999999999999999999999999999999999999999999999999999999999999999999999999297296296295294294293292292292291290290290290290290290290290290290289289289289289289289289289289289289289289288289289288288288288289289290289289289289290290290289289289289290289290290290291290291290290290290290289290290291290290289289287287288289289289289289290290290290290289290290290291291291291290290290290290292291291290290290290290291290291292292292292292292292292292292292292292292292293293292293293293293292292292291292292292292292292292292293293292293293294294294294294294294294295294294294295295295295295294294294295295295295295295295295295295296296295295295296296296295295295295295295295296296296296296295296296296296296296296296296295295296296296296296296296296297296296297298298298298298299299298298298298298298298298298298298298298298296297297297298298299299299299299299299299299298300300300301301301302301301301302301302303302303302303303303302302302302302302302302302303302302303303304303302302302303303303303303304304304304304304304303303304304304303304303303303302302303303304304303303303303302303303303302303304304303304303304304305305305305306305305305306306306306306305305305306304305304304305304304304303304305304304304304304303303303302302302302302302301302302302302302302302302302302302302302301301301301300300300300300300300300300299299298299299299299299299299299299299299299299299299299299298298298298298297297297296296296296296296296296296295295296296295295296296295297297296296295296296296296295295295296295295295296296296295296295296295295295295295296296295295295296295295295295295295295295296296296296295296296296296296296296296296296295294294294294294294293293293293292292 999999999999999304304305305305305304304304304304304304304303303302302302302301301300300300300300299299299298297296296295295294294294294294294294294294294294294294294294294295294295295295295295295295295296296296297297297297298297298298298298298298298298298298298297297297297298297297297297296296296295295296295295296296296295296296296296296296296295296296296296296296296296296296296297297297296296296296296296296297297297298297297297297297297297297298298298298298298298297300301300303302303304303304306305305304303999999304303303303303301300300299299298297297298297296296296296296297297297297297297297297297297298298297297297297297297296296296296297295296295294999999999296298295296297296296296296299296296297297297297297296299999999999999999999999999999999999999999999999297999999999999999999999999296296295295294293293293292291291290290290290290290290290289289289289289289289289289289289289289289289289289288288288288288289289288288289289289289289290289289289289289290290290290290290290291291291290290290290290290291291290289289288288288289289290290289289290290290291291290288289290291291291291291291290290291292291291291291290290290291290291291291292292292292292293292292292292291292292293293293293293293292292292291291292292292292292292293293293293293294294294294294294294294294294294293293294294295295295295295294295295294294295294295295295294295295296295296296296296296295295295295295295295295295295296295295296296297296296296295296296295295296296296296296296296297297296296297297298298298298298298298298298298298298298298298298298298298297297297297297298298299299299299299300300300300300300299299300301300301301301302301302302302303303302303303302302302303303303302302303302302303303302303302302302302302302303303303304304304304304304303303303303303304303304304304303302302303303303303303302303303303303303303303303303303303303304304304305305305303305305305305305306306307305306306305306305305305305305305304304303304304304304304303303303303303302302303302302302301301302302303303302302302302302302302301301301301300300300300300300300300300300300299299299299299300300300299299299300299300300299299299299299299299298298298298297297296296296296296296296296296295296296296295295295295296296296297296296296296296295295295296296296296296295295296296296296296296295296296296296296296296296296295295296295295295295296296296296296296296297296296297296296296296296296296295295295295294294294293293293293 999999999999306306304304305305306304304304304303304304304303303303302302302301301301301301300300300300299298297297295295294294294294294294294294294294294294294294294294294295295295295295295295295296296296296297297297297298297297297298298299299299299298298298298297297298297297297297297297296296296295296296296295296296296296295296296296296296296296296296296296296296297297297297297298297297297297296296296296296297298298298298297298299298298298298298299299300299299299299301300301304303304305306307307307305305305999305305303303303303301301300299299298297297297297296297297297297297296296296296296296296297297299298297297300297297296296296295295297295296296999999999295295295296295296296296296297298297296296297296297297296999999999999999999999999999999999999999999999999295295999999999999999999295296296295294294293293292292291290290290290289289289289290290289289289289289289289290289289289289289289289289289288288288289288288288288289289289289289289289289289289289290290290290290290290291291291291290291290290290290290290290289288289289290289289290290291290291291291290290290289291291291291291291291291291291292291291291290291291291291290291291291292292292293293293293292291292291292292292293294292292293293293292292292292292292292292293293293293293293294294295294293295294294294295294294295293294294294294294294293295294294295295294294294295294295295295296295296296295296295295295295295295295295295295295295296296295296296296295295296296294296296295296296295296296296296296297297297298298298298298297297297297298298298298298298298298298298298298297297297297298299299298299300300300299300300299299299300300300300301301302303303302302303303303303304303302302302302302302303303303302303302302302302303302302303303304303303303304304304304304303303303303303303303303303304302301302303302303303302303303303303303303303303303303303303303304304304304304305304305305305305305305306306305305305305305305305305305304305304304304304304304304304303303303303303302302302302302302302301302302303304303303303303302302302302302301301300300301300300300300300300300300300299299300300300300300300300300300300300300299299300299299299299299299299298298297296296297297297297297296296296296296296296296296296295296297296296296296296296295295296296295296296295295296296296297296296296296296296296296296296296296296296296296296296296296296297296296296296297296297297297297296296297297296296296296296296295295295295294294294 999999999999999999999304304305305304303303304304304304304304303303302302302302301301301301300300300299299298298297296295294294295295295295294294294294294294294294295295295295295295295295295295295296296296296297297297297297297297298298298298299299299298298298298297297298297297297297297297297297296296296296296296296296296296296296296296296296296296296297296297296297297297298298298298298298297298298297297296297298298298298298298298298298299299299299299300300301300300301301303304304306306306307307306306306307306306306304305304303302302302301299299298297296297297297298299297297297297296296296296296296296297298297297298299297297296297297296296297296297296999999999295295296296297297297295296297297297298297298296296296999999999999999999999999999999999999999999999999297999296298999999999999294295296295294294293293292292291291290290290289289289289289289289289289289289289289289289289289288289289289289289289289289288288288289288289288289289290290290289290290290290289289290290291291291291292291291291291291291291291290290290288289289289290290290290290290291291291291291291291290291291291291291292291291290291291291291290289291291291291291291291291292292292292292293293292292292292292292292294293292292293292292292291292292292292293293293293294294293293294294294294295294295294294294294295294293294294294294294294294295294295295295294293295295295295296296296295296296295295295295295294295295295295295295295295295295295295296296295295295296295295296295296295295296296296296296297297297298297298297298297298298297298298298298298298298298298298298297298298298298298299299299299300299299299300300300299299300300300301301301302303302302303303303303303303303303302302302302302303303303302302302303302302302302303303303304304303303303303304303303302302302303303303303303302303302303301304303302303303303303303304304304304303303303303303303304304304304305304304304305306305305305305306305305305305305305305305305304304304304304304303304304305304304303304304303302302302302302302301302302303303304303303302302302302302301301301301301300300300300301300300300300300300300300300300300300300300300300300300300300300299300299299300299299299298298297297297297297298297296296296296296296296296296297297296296295296296297296296296296296296296296296297296296296296297297297296296297296297297297296297297297296296296296296296296296296296296296296297297297297297297297297296297296297296297296296296296296296295295295294 999999999999999999999999304304305305304303303303303304304304304303303302302302302302301301301301301300300299298297296295295295295295295295295295295295295294295295295295295295295296295296296296296296297297297297297297297297297297297298298298299299299298298298298297298297298298297298297297297296296296296296296296296296296296296296296296296296296296296297296297297297297297297297298298298298298298298297297297297298298299299299299299299298298299299299300300301301301302303303304306305306306307307306305999304305306999307306306305304303302302301300299299298297297297297298298298297296297296296296296296296296297298297297297298298297297297297297297297295296296292999999294295296296296297297296296296297297299298298298297296999999999999999999999999999999999999999999999296296999298300999999999295294294295295294293293292292292291291290290290289289289289289289289289289289289289290290289289289289289289289289289289289289288289289288289289289289290289290289289289289290290290290290290291291291291292292291291291291291291290290290289289290290289290290291290291291291291291290291291291291292292292291292292292291291291292292291290292292292292292291291291291291291292291292292292293292292292292292292294293294294293293293292292293293292293293294293293294293294293294294293294294294294294294294293292294293294294294294294294294294294295295295295294295295295295296295296295295296296295295295295295295295295295295295295295295295295295295295296295296295295295295295295296296295296296296296296296297297297297298298298298298298298298298298298298298298298298298298298298298298298299298299299299300299299300300300300299300300300301301301301302302303303303303303303303302303303303302302302302302303302302303303303303303303303304304304304303303303304304303302302302302302303302303303303303303304303302302303303303303303303303303303303303303303304303304303304303303304304304304305306305305305305305305305305305305305305305304304304304304304304303303304304304304304304304303303303302302302302302302303303304304303302302302302302302302301301301300300300300301300301301301300300300300300300300300300301300300300300300300300299299299300300300300300299298298298298298297297297297297297297297296297296296296297296296296296296296297297297297296296296296297296296296296297297297297297297297297297296297297297297297297297296296296297296296296297296296297297297297297297297297298298297297297298297297298297297297297297297296295295 999999999999999999999999999999305306307999303304304305305305305304303303303303303303302302302302301301300300299297296295296296296296296295295295295295295295295295295295295295295296296296296296296296297297298297297298298298298298298298299299299299299298298298298298297298298297298298297297297297297297297297296296296296296295296296295296296296296296296296297297297296297297297297297297297298298299297297297297298299299299299299298298299298298299300300301301301303303303302303304305306307307306306305304999305304999999308306306305305304303302302300300299299298298298297297297297297297297297296296296297297297297298299299298298297297297297297297296295294296296293293292291293295297298298297297297298297298298298298298297297999999999999999999999999999999999999999999294295296297299300301999297294294295294294294293293292292292291291290290289289289289289289289289289289289289290289289289289289289289289288289289289289289289289289288289289289289289289289289290290289290290290290290290290290291292292292292291291291291291290290290290290290290290290290291291291291291291291291291292291292292292291293292292291292292292291291291291292292292292291291291291291291292292291291292292293293292292292292292294293295293293294293293293293293292294294294293294294294294294293293293295294294294293294294294293292293294293293294293294293294294294295295295295296296295295295295295295295295296295295295294294295295295295295295295295295295295295295295295295295295295295296296295295295295295296295296296296297297297297297297298298298298298298298298298298298298298298298298298298298298298298299298299299299299299300300300300299300300300300301302302302302302302302303303303303302302302302302302302302303303302302303303303303303303303303305305304303303303304304303303301999999303302302302303303303302302302302302302303303302302302302303304303303303303304303303303303303303304304304304305305305305304305305306305305304305306306305305304304304304304304304304304304304304304304304303304303303303303303303303303302303303303303303303302302302301301301301301301301301302301301301301301300301301300301301301301301301301301301300300300300300300300300300300300300299299299298298298298297297297297297297297297297296296297297297297297297297297297297297297297296296297297297297296297297299298297298297298297297298298297298297298297297297297297297297297297298298298297297298297298298299299299298298298298298299299298298298298297298297297296 999999999999999999999999999999999999999999999999304304304304304304303302303303303304304303302302301301301300299297296296296296296296296296296296296296296296295295295295295295295296296296296297297297297297298297298298298298298298298299299299299299299299299298298298298298298298298298298297298297297297297297296296296296296296296296296296296296296296296296297297297297297297297297298298298298298297297298298298299299299299299299299299299299299299300300302303304304304304304304305305306307307306306304999999305303999999308307306306305305304302302301300299300300299299298297297297297298297297297297297297298298297298298297297298298297297297295294294294295295295293292290290292294297297298297297297298298298298297298299299298999999999999999999999999999999999999999999295295296297299300299999295295294295294294293293293292292291291290290290289289289289289290289289289289289289289289289289289289288289289289289289288289289289288289289289289289289289289289289290290290290290290290290290290291291292291291292292292292291291291290291290291291290290291291291291291291291291291292292292292291292291291292292291291292292292291292291291292292292292291291291291291291292292292292292292292293292293292292292294294295294294293293293293293293293294294293293293293294294294293294293292294294294292292294293293292293293294294293293293293294294295295295295295295296296296295295295295295296296296295295295295294295295295295295295295295295295295295295295295295295295295295295296295295296295295295295295296297297297297297297298298298298298298298298298298298298298298298298298298298298298298298299299299299299299300299300299300300300300301301302302302303302302303303303303303302302302302302302302302302303303303303303303304304304304304305304304304304304305304305304302303303303302302303303303303303303301303302303303303303302302303302303303303303304304304303303303303304304304304305304305304304305305306306306306306306306306306305305304304304304305304305305305304305305305304304304304304304304303303304304303303303303303303303302302302302302301301301301301302302301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300299299298298298298298298297297297297296297297297297297297298298298298298298298298297297298297297298297297298298299298298298298298297298298298297298298298298297297297297297297297298297298298298298298298298298298300298299298299298298298298298298298298298298297297296 999999999999999999999999999999999999999999999999999303304304304304303303303303303304304303303302302302301300298297296296296296296296296295296296296296296295295295295295295295295295295296296296296297297297297297297298298298298298299299299299299299298299299298297298298298298298298298298297297297297297296297297296296296296296296296296296296296296296296296296297297297297297298298297297298298298297298298299299299299300299298299299300300299299299301301302303303304304304305304305305306306306306306305999999305999999999999307306307306305304303302301300300300299299299299297298299299297298298298297297298298298299298298298297298298297295296294294294294294294294999999999288293296297298298298298298299299297299298298299299297999999999999999999999999999999999999999999295295296297299299298999294294294295295294294293293292292291291290290289290289289289290290290289290290289289289289289289289288289289288289288289289289289289289288289289289290289290290290290290290290291291291291291291291291291292292292292293293292292292291291291291291291291291291291291292292291291291291291292292292292292292292291292291292293292292292292291292292293292292293292292293292292292291292292292293293293293292292292293294294293293294294294294294294294294295294295294294293294294294294293293294294292293292293294293293293293293294294294293293293294294295294295295295295296296296296295295295296296296296295296295295295295296296296295295295295295295295295295295295295295295295295296296296295295295295296296296296296296297297297298298298298298298298298299298298298298298298298298298298298298298298298298299299300300300300300300300301301301301302301302302302302302303302303303303303303302302302303302302302303302303303304304303303304304304305305305305305304304305304305304304303303303302303303303303304303303303303303304303303303303303304304304303303304304303304304304303303303304304304305305305304305305306306306306307307306306306306305304304304305305305305305305305305305305305305305305304305304304304303304303303303303304303303302302302302301301301301301302302301301301301301301301301301301301301301301301302301301301301301301301300300300300300300300300300300300300299299299298298298297297297297297297297297297297297297298298298298299298298299298298297298298297298298298298298298298298298298298298298298298298298298298298297297298297297297297298298298298299299298298299299299299298299299298298299299299299298299299298298298298297 303999999999999999999999999999999999999999999999999305304304304304304304304304304305304304303303302301301300299297297296296296296296296296296296296296296296296296296295296296296296296296296297296297297297297297297297298298298298299299299299299299299299299299298298299299299298298297298297297297297297297297296296297297296296296296296296296296296296296296296297297297297298298298298298298298297299299299299299299299299299299298298299300299299300301302302302303303303304304304305306306306306305306999999999999999999999999999999305305305303303302301301300299299299300299299298299298298298298298297298298297298299298297297298297296294294295295295295294294292291999999999290292295297299300299299300299298298298299299300299297295999999999999999999999999999999999999999999294296298298298297999294294294295294294294293293292292291290290289289289289289290290290290289289290290290290289289289289289289289288289288289289289289289289289289289289289289290290290290290290290291291291291291291291292292291292292293293293293292292291291292292291291291292292291291292291291291291291292292292292292292293292292292292292292292293293292292292293293293292292292293293293293293292292294293293292293292293292293294294294294295293295295293293295294295295295294294295295295295294294294294295294293293292292292293293293293293294293293293293294294294294294294295295295295296295296296296296296296297296296296295295295296296296295295295295295295295295295295295295295295295295295295295295295295295295296296296296296296297297297297298298298298298298298298299299298298298298298298298298298298298298298298299300299300300300300300301301301301301301301302302302302303302302302302302302302302302302302302302302303303304304304304304304304304304304305306305305305305305305306306305303303303302303304304303303302302302302303303303303303303304304303303303303303303304304304304303303303304304304304304304303305305305306305306306306306305305305304304304304304305304304305305305305304304305305305305304304304304304303304303303303303303303302302302302302301301301301301301302302301301301301301301301301301301301301301302302302301301301301301301301301300300300300300300300300300300299299299299299298298298297297297297297297298297297298298299299299298298299299299299298297298298298298298298299299299298298299298298298298297297298298298298297298298298297297297298298298299299299299300299299299299299299299299299299299299298299299299299298298298298 304999999999999999999999999999999999999999999999999999304304304304304304304305305305304304303303302301301300299297297297297296296296296297297297296296296296296296296296296296296296296296297297297296297297297297297297298298298298299299300299299299299299299299298298298299298298297298298298298297298298297297296297297296296296296296296295295296296296296296296296297297298298299299299299299298298299299299299300299299298299300299298300300299299301302302302303304304304304305304305305305306306307304999999999999999999999999999999999999305304304303302302301300300300300299298298299298298299298298298297297297298298297296296296294292292293295294295295294293292291999999293292294296298299300300299298298299298298297297297298297999999999999999999999999999999999999999999999999295297297297295999293294294294294293293293292292291290290290289289289289289289289289289289289290289289290289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290291291291291291291291292292292292293293292292291291292292291291292292292292291291292292292291291290292291292292292293292293292291292292292292293293292293293293292292292292292292293293293293293293293294293293293293293293293293293294294294293293293293292295294294294294294295294294295294295293295295295293294294293291292292293292292293293293293293294294294294294293293294295295295295295295296296296296296296296295295295295295295295295295295295295295294294295295294295295295295295295295295295295295295295296296296296296296296296297297297297298298298298298298298298298298298298298298298298297297298297298298298298299299299300299300300301301301301300301301302302302302302302302301301302302302302302302302302303303303304304304303303303304304305305305306305305305306305306306305305304304304303303304303304302302302302303302303303303303303302303303304304303303303303304304304303304304304304304303304304304303303304305304305306306306305305305305305304304304305304304304305305305305304304305305305305305304304304304304304304303303303303303303302302302302301301302302302301302301301301301302301301301301301301302301302302302302302301301301301301301301301301301300300300300300300300299299300299299299299298298297297298298297298298298298298299299299299299300300300299299299299298298298299299299299299299298299298298297297298298298298298298298298299298298298298298298298299299298299300299300299300300300300299299300299300299299299298299298298299299 304999999999999999999999999999999999999999999999999999999305305305306305305305305305304304304303303302302301300298297297297297297297297297297297296296297296296297296296296296297296296297296297297297297297297298298298298298298298299299299300299300300299299298298298298298298297298298298297298298298298298297297296297297296297297296296296296296296295296296296297297298297298298299299299299298299298299299299299300301300300300301299300301302302301302302303305304304304305305304305305305305305999999999999999999999999999999999999999999306305305305304304302302301300300299299299300299299299298297298298298298298297296296295292292292292293295295296295294293294293290290292294296296298300301300299298299299298298297297297297296295999999999999999999999999999999999999999999999295296297296294294293293294293293293293292292291291291290290289289289289289289289289289289289290289289289289289289289288289289289289289289289290289289289289289290289290290290290289290290290290290290291290290291291292292291292292293293293292291291292292292291291292292292292292291292292291291291290290290291291292293293293293293293293292293293292292293293293293292292293292293293293293293292293294294294293294293293293293293294294293293292294294294296295295294294294294294294295294294294294295295294293294294293292293292293293293293293293293294294294294294294294294294295294295295295295295296296296296296295296295295295295295295295295295295295295295294295294295295295295295295295295295295295295294295296295295295296296296296296297297297297298298298298298298298298297297297298298298297297297298297298298298298298298299299299300300300301301301301301301301302302301302302301302301302301302302302302302302303302303303303303303304304304305304305305305306305306306306305305306305304304303303304304304303303302301303301302303303303303302302303303304303303304303303304304304303304304305304304304304304304304304305304305305305305305304304304305305305304304304304304305305305305305305305305305305305304305304304304304304304304303302302303303303302302302302302301301302301301302302302302302302301302302302301302302302302301302302302301301301301301301301301301301300300300300300300300300300300300299300298297298298298298298298298298298298299299299300300301301301302301300299298299299298299299299299299299299299298298298298299298298298298298298298298298298298298299299299300300300300300301300301300300300300300299299300299299300299299298299299299 305305999999999999999999999999999999999999999999999999999999307306306305306306306305305305304303303303303302300299298297297297297297297298297297297297297297297297297296297297297297297297297297297298298298297298298298298299298299299300300300300300300300299299298298298298298297297298298297298298297298297297297297297297297297297296296296296296296296296297296297298298298299299300299299298299300299300299299299300300301300301302300301302301303302302302305304305306304304305305305306307305999999999999999999999999999999999999999999999308308307306306305303303301300300299300299300299299299298298298298298298298297296295293291292291293294295294295295292290290288290291294295296297298299300300299299299299299298297297297296297295294999999999999999999999999999999999999999999999296296295294293293294294293293293292292291291290290290289289289289289289289289289289289290289289289289289289289289289289289289289290290289289290290289289290290290290290290290290290290290290290290290290291291291292292292291292292293292292292292291291291292292291291293291292292292292291290291290292291291292292293293293293293293293293293293292293292292292293292292292292292293292293292294293294293294293294294293293293294294294294293294295295296295294294294294294294295294294294293294294294294293293293293293293293293293293294293293293293293293293293293294294294294295295295295295295296295296296296295295296295295295295296295295295295295295295294294294295295294295295295295295295295295295295295294295296296296296296296296296297297297297298298297298297297297297297297297298298297297297297297297297298298298297297298298298299299299301301300300301300301302301301301301301301302302302302302302302302302302303303303304304304304304304304305305305306305306306306306305306307305303304303304304303303303304302303302303302301302302302303302302303303303303303303303304304304303304305304304304304304304304304304305304304304305305305304305305305305305304304305304304305305305305305305305305305304304304305304304304304304305304303303303303303303302302302301302301302301301302302302302302302302302302302302301302302302302302301302302302301301302302302301301301301301300300301300300300300301301300300300299297299299298298299299299299299299299300300300301301301302304301300299299300300299299299298299299300299299298298299299298298298298298298298299298299299298299299299300300300300300300300300299300300300300300299299299299300299299299299299298299 305305305999999999999999999999999999999999999999999999999999999999999307306306306307307306304304304303303302300298297297297297298298298298298298298298297297298297296296296297296297297297298298298298298298298298298298299299299300300300300300301301300300299299298298298298298298298298298298298297297297297298297297297297297297297297297296296296296297298297296297298298299299299299299297298298300299300300299300300300301301300301300301302302303303302302304303305305305305305306306306307307999999999999999999999999999999999999999999308309309308307305305303303302301301301300300299299299299298299298298298297298297295293292292292290290291292293294293290289288287290293296296297298298299300299299299300299299299299298296296296296295294999999999999999999999999999999999999999999294294294293292293294293293293293292291291291290290289289289289289289289289289289289289289289290289290290289289289289289289289290290289289291290290290290290290290290290290290291291290290290290291291291291291292292291292292292292292292293293292291291292292293292292292292292293292292291291291291291291291292292293293293293293293293292292292292293293293292293293293292293293292291293293293294294293293294293292293293293293294293293293295295295295295295294294294294293294294294293293294293294294293294293293293293293293293294293293293293293293293292293293293293294294294295294295296296296295295295295295296296295295295296296295295295295295295295295295294295294295295295295295295295295295295295294295295296296296296296296296297297297297298297297297297297297297297297297297297297297297297297297296297297297297296298299298298298299299299299300300300301301301301301301301301301301301301302302301301301302302302303303304304304304304305304306305306306306305306306306306307306305304304303303303302302303303302302302302302302302302303303303303303303304303304303304304304303304304305304304304304304305304304304305305305305305305305305305305305305306305305305304305305305305305305305305305305304305304304304304304304305304304303303304303303303303302302302301302301301301301302301302302302301302302302302302302303302301302302302301301301302301302302302301301301301301301301301301301301301301301300301301300300299299300299299299299300300300301301301301302302304304302301301300300300300300300300300300300299299299299299299299298299299298298299299299300299299299300300300300300300300300300301301300301301301300299300300300300300300300299300299299 305305305999999999999999999999999999999999999999999999999999999999999999306305306307307306305305304303303302299298298298297297298298298299298298298298298297297297297297296296297297297298298298298298298298298298298298298299299300301301301301301300301300300300299299298298298298298298298298298298298298297297298297297297297296296296296296296297296296296296297297297298298299299300298298298299299298300301299300301301301303301302302302303303304304305304305306305305305306306307308306304999999999999999999999999999999999999999999999307309309307307305305304303302301300300299299300299300299299299299299298298298295293293291292291289287999289290292289289288292290293295296297298299300300300300299298299298298298298297297297297297296295296296999999999999999999292294999999999999293293292292293293293293293292292292291291291290290290290289289290290290289290289290290290290290290290290290290289290289290290289290290291291290291290290290290290290290290291291291290291290291291291291291291291292292292292292292292292293293292291292291292293292293293292292292292292291291291291291291292291292293293293293294293293293292293294293293293293293293293292293293292294294294294294294294293293293293293293293294293294293295295295295295295295294294294294294294294293294293294294293294293293292292293294294294294294294293293292292293292292292293293294294294294294294295296295295295294294295295296296295296296295295295295295295295295295295295295295294295295295295294295295295295295295295295295296296296296296296297297297297297298297297297296296296296296297297297297297297297297297297296297297297297297297298298298298298298298299299300300300300300301301302301301301301301302302301302302301302302303303304304303304305305305305305306306306305305306305305305305306304304304303303303302302303302303303302302302303303303303303303303303303303303304303304304304304304305305305305305305305304305304305305305305305305305305305305305305305305306305304305305304304305305305305305305304305305304305304304304304304304304304304303304303304303303302302301301301301301301301302302302302303303302302302302302302302302302302302301300301302301301302302301301301301301301301301302302302301301301301301301301301300300300300300300301301301301301301301302302303303303302302302301301301300300301300300300300300299299299299299299299299299299299300300300300300300300300300301301300301301300300301301301301301301301301301300301301301301301300300301300 305306306306999999999999999999999999999999999999999999999999999999999999308306305305305306306305304303302301299298298298297298298298298299299299299299298298297297297297297297297298298298298299299299299299299298299299299299300300301301301301301301301301301301300300299299299298298298298298298298298299298298298298297297297297296296297296296296296296297297297298298298297299299298298299299299299300301302301301300301301301302302302303302303303304304305305305308307305306307307308309305999999999999999999999999999999999999999999999999308308999306306307305304302300300301301301300299299299298298298299297295294293292292292293292289999999999999999292291292296296296298298298299299299300300299298298298298298298298297297297297298297297296295294294999999999999292293999999999999292292292292293293294293293293292292292291291291291291290289290290289290290290290290290290290290290290290290290289290290290290290290291291290290290290290290290291291291291290291291291291291291291291291292292292292292292292292293291292293293292292292292292293293293293293293293293292291291292291291291291292293292293293294294293293293292293293292293292293291291293294293293293292293293293294293293293293294293293293293294293293294294295295295294295294294294294293294294294294293293293294294294292292293293293293294294294294294293293292293293293293293293293294294294295295295295295295295294294293295295296296295296296296295296296296295295295295295295295295295295295295295295295295295295295295295296296296296296296296296296297297297297297297297297296296297296296296296297297296297297296297297296297296296297296297297297298299298299299299299299299299299300300300300301301301301301301301302302301302303303303303304305305305305305305305306306305306306306305305305306305305305304304303303303302302303302302303302302301302302303303303303303303303303304304304304304304304305305305305305305305305305305305304305305305305305305305305305305305305306306305305306305305305305305305305305305304304304305305304304304304304304304305304304304303303303303302301302301301302301301301302302302302303302302302302302302302302303302302302302301301302301301301302302302302302302302301301302302302302303303303303302302302301301301301301301301301302302302302302302302303303303302302303302301301301301301301300301301301300300300300300300299299299299300300300300300300300300300300301300301301301301301302301301301300301301301301301301301302301300300299300300 306306306306999999999999999999999999999999999999999999999999999999999999999306305304305305304305304303302301299298297297297298298298298299298298298298298298297297297297297297297297297298298298298298299298299299298299299299300301301301301301301301301301300301300300299299299299299299298299299299299299299299298298298297297297297296297297297296296297297296297297298297298299298300299300300299300300302302301302302301300302301302303303304304304303304305305307307307307306307308307308999999999999999999999999999999999999999999999999999999999999999307308306302301300301301301300300300299299298299298297294294294294294294295295292290288288289295296295298297298299299299299299300300299300300299299299299299299298298297298298296298297296297297295295295293293292292999999999999291292292292293293294292293293294292293291291291291291291290289290290290290290291290290290290290290290290290290290290291291290291291291291291291291290290291290290290290291291291291291291291291291292292292292292292292292292292292292292293293293293292292292292293293293293293293293293292291291292292291291292292292293293294294294294294293294293294294292293292293293292293294293293292292293294294293294294294294294294293293294293294294294295294294295295294292293293294294294293293293294293294294294293293293293294294294294294294294294293293293293293293294293294294294294294294295295295295294294294294295295295295295296296296296296296295295295295295295295295295294294295295295295295295295295295295296296296295296296296296296296297297297297296296296297296297297296296296297297297297297297297297297296297296297297297296297297298298298299298299299299298298299299299299300300300300301301301301302301302302303302303303305305305305305305306305305306306306305307305306305306306305305305305305303303302302302303303302301301302302303302303303303304303304304304304304304305305305306305305305305305305305305305305305305306305306305305305305305305305306305306306306306305306305305305305305305305305305305304305305304304304304304304304304304304304303303303302302301301302302301301301301302302302302302302302302302302303303302302302302301301301301302301301301301302302301302302302302302303302302303303303303303302302302301301301301301301301302302302302302302301302302302302302303302301301301301301301301301301301301300299299299299299299299299300300300300299300300300300301300301300300300301301301301301301301300300301301301301300301301300301301300300 306306306306999999999999999999999999999999999999999999999999999999999999999999305304304304303304304303302300297298298297298298298298298298299298298298298298298298297297297297297297297298298298298298298298298298299299299299300301301301301301301301300301301301301300300299299299299298298299299299299299299299299298297298297297297296296296296296296297296296296297298298297299299299300300300301301302301301301302301301301301301302302302303304304304305306306307307307307306307308308999999999999999999999999999999999999999999999999999999999999309308309999999302300302302301300299298298299298296296296297295294294294295295297295293290288291294296297298298298299299299299299299300300300300300300300299300300298298299299299299298298297298297297296296296296295293292999999999290291292292293294294294293294294294294293292291291292291291291290290290290290291290290290290290290290290290290291291291291291291291291291292291290291291291291290290290290290290291291291292292292292292292292293292293292292292292293293293293293293293293292292293293294294294294294293293292292292292292292292293293293293293293294294294294294294295295295294293294294295294293293293293294294293294294293294294294293294294293293294294294294294294294295294294294294295294293294294294294294294293294294294294293294294295294294294295294294294294294293293294294294294294294294294294295294294294294293294294294294295295295295296296296296296296296295295295295294295294294294294294295295295295295295295295296296296296295296296296296296296297297297296296296296296296296297296296296296296296297297296297296296296296297297297296296297297298298298298298298299298298298298299299299300299300300301300301301301302302302302303303303305305305306305305306305306305306306305306306306306305305305305305304304302302303303303303302303302301301302302302302302303303303304303304304305305305305305305305305305305305305305304304304304304305305305305305305305305305305306305305305305305305305305305305305305304305304304305304304304304304304304304304304304304304304303303303303302302301301301300301301301302301301301302301302301302302302302302303302302301301301302301301302302302301302302302302301301302303303303304303303303303303303302302302302302301301301302302302302302302302302302302303303303302302302302303302302301301301301301301300299300300300299300299300300300300300300300300301301301301302301301301301301301301301301301301301300301301301301300300301301301301 306307307308999999999999999999999999999999999999999999999999999999999999999999999303303304303303303303301300298298297297298298298298298299298298298298298298298298298298298298297297297298297298298298298298298299299299299299301301301301301301301301301301301300301301300300300299299299299299299299299299299299299298298298298297296295296296296296296296297296297297297297298299299300301301301301302302302301301302300302302302303304303303303303305305307307308307307306306306307308306999999999999999999999999999999999999999999999999999999999999999999999999999999999301301300299300299298298297298298297297296296293293294296296294291288289295296296297297299299298299299299299299298299299299300301300300300299299298299299298298299298297298296296295296296295295295294294999291291292292293294293294294294294293293293292291292292292290290291290290290290290291290290290290290290290290290290291291291290291291291292291291291291291291290290290290290290290291291291292292292292292292292292293292292292292292292292293293293293293293293293292293293293294293294293293292292292292292292291292293293292293292293294294294293293294293293294293294294294293293293292292293294293294294294294293293294293293293293293293294293294294294294294294295295295294293293294293294293294294293293294294294293294294295294295294295295294294293293293293293294294294294294294294295294293293293293294293294294294294295294294295295296296296296296295295295295295294294294294294294295295295295295295295295296295295295295295295296296296296296296296296296296296296296296296296295296296296296296296296296296296296296296296296296297296297298298298297297297297297297297298298299298299299300300300300301302302302302302302303303304305305306306305305306305306305305306305305306306306305305305305305305304304302302303303303302303303301301302302302302302303302304303304304305305305305305305305305305305305305305305305305305305305305305305305305306305306306306306306305305305305305305305305305305305304304304304304304304304304304304304304305304304304304304304304303303302303302301301301301301301301302301302301302302302302301302301302302302302302302302303302302302302302302302302302302302302303303303304304304304304304303303303303302302303302301302302302303302302303302302302303303303303303302302301302302302302301301302302302301300300299299300300299300300300300300300300300300301301301301301301301301301300301301301301301301301301302301300301301301301301301 306307307306999999999999999999999999999999999999999999999999999999999999999999999999999303303302302301300299297296296297297297298298298299298298298298298298298298298298298298297298297297298298298298298298298298299299299300300300301301301301302301302301301301302301300300300300300299299299299299299298299298298298298299296297296296296297297296296296296296297298297298300300301301301302303302302302302302301301301302301303303303303303305306305306307308308308308306306306308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299298297297298298297298298297296296295295294293292292290298293296296297297298299299298298299299299299300299299300300300300300300300299298298298297298299298299297297296295295296296295295294294293292293292292293294293293293293293292292291291291291291291291291290290290290290290291290290290290290290290291290290291291291290290291291291291291291291291291291291291291290290291291291292292292292292292292292292293293293292292293293293293293293293293293293293293293293293293294294293293293293292292292292292292293293293293293294294294293294294294296293294294294295294294294294294294294294293293293293294294293294294293293294295294293294293293293293294294295294293294293293293293293294294294294294294294295295295294295295296295295295295294294294294294293294294294294293293293294293294293293293294294294294294294294294295295295295295295296296296295295295295295295295294294295294295294295295295295295295296296296295295296296296296295295296296296296296295296296295296296296296296296296296296296296296296296296296296296296297297297297298298297297297297297298297297297298298299299300300300301301301301302302302303303304304305306306305305305303304305304305306305306304305305305306304304304304304304302302303302303302302302302301301302302302303303304304304305304305305305305305305305305305305305305305305304305305305305305305305305305305305306306306306306306305305305305305305305306305305305304305304304304305304304304304304304304305304304305304304304304303303303303302302302301301301301302302302302302302302301301302302301301301302302302302302302302302302302302302303303302303302303303304304304304304304304303304304303303303303303302302302303303303303303302303303303303303303303303303302302302302302302301302302302300299300300301299300300300300301301300300300301300300301302301301301301301301301301301301301301301301300301301300300301301301301301 307307999307999999999999999999999999999999999999999999999999999999999999999999999999999999302302301301299298296296296296296297298298299299299299299298298298299299299298298298298298297297297298298297298298298299299299299300300301301301301302302301301301301302302302301301301300300299299299299299299299299298298298297298297296296296296298298296296296297298297298299301301301301302302302302301302302303302301300302303303303304305304305305305307307305308307307306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298296296298298297298298296296296294293291291289290292295296296297298298299299299298299298299299299299301300300299299300299299299298298298299298299299299299298298297295296296296295296296295294292292292292292293293293293294293292292292292291291291290292291291290291290290290290290290290290290290290290290290290290290290290291291291291291291292292292291291292291291290291292292292292292292293292292292293293293293293292293293293293293293293293293293293293292292293293293294293293293293293292293293293292293293293294294294294294294294295294294294294294294294293294294295294294295294294294294294294294295294294295295294294294294294294294294293293293293294294294293294294294293294294294294294294295294295294295295295295296295295295295294294294294294294293293293293293294294294293293294294294295295294294294294295294295294295294295295295295295295295295295295295295294295294294294295295296295295295295296296295296296296296296295295295295296295295295295295295295296296296296296296295296296296296296296296296296296297296297297298298297297297297298298297297297297298298299299300300301301301301302302302302302303304304305305305305304304304303304305305306305304305305306305304304304304305304303303303302302302302301302302301301302302302303303303304304305305305305305305305306305305305305305305305305304305305305305305305305305305305306306306306306306306305305305306305305305305304305305304304305305305305304304304304304304305305305305305304305304304304304304304303303303302302302302302302302302302301302302302302302302302302302302303302302302302302302302302303303302304303303303303305304304304304305304304304304304304304304303303303303303303303303303303303303303304304304304303303304304303302303302301300301301299300300300301300301301300301301301301301301301300301301301302302301301302302301302301302302302302302301300301301301301301301301301 307307999308999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300300297296296296296297297298298299299299299299299299299299299299299298298298298297297297297298298298298299299299299299299300301301302302302301302302302302302302302301301301301300300300300299299299299299299298298297297297297296298298298299299298297297298298299301301302302302301302301301301301302302302302302302303304305305306305306306306306306306308308306307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297299298297297296295295293291290290290291295296296297298297299299299298299299299299299300300300300300299300299299298298298298298297296297298298299298297296296295296296295297297296295294292292291292293293293293292293293292292292291291291291291291291291291290290290290290290290290290290290290290290290290291290291291291291291291291292292292292292291291291291291292292292292292293292292292292293293293293293293293293293293293293293293293294293293292293292293294293294294293293293293293294293293293293293294294294293294293294294293295295294293294294294294294294294294295294294294293294294294295295295294294294294294294294294294293294293293293294294293293293293293294294294293294293294294294293294295295295295295295295295295295295294294294294294294293293293294294293294294294294294294294295294294294294294294294294294294294295295295295295295295295295295295295295294294295295295295295295296296296296296296296296296296295296296295295295295295295295295295296296296295296295296296296296296296296296296296296296297297297298298297298297298299298297297298298298299299300300300301301302302303303302303303303304305305305305304306305304304305304305305304305305304304303303303304304303303303302303302302301302302302301302302302303303303303304304304304305305305305305306306306305306305305306305305305305305305305305305305305304305306306306306306306306305306305305305305305305305305304305305305305305305304304304304304305305305305305304305305305304304304304303303303303303303303302302302302301302302303303302302302302303303302302302302302302302303302303303302303303303303303304305305305305304306305305304304304304304304304304304305305304304304304304304304304305305305305304305305304304303303301302301301300299300302300301300301300301301301301301301301302301302302302302302302302302302302303302302302302303302301301301302302302302302301302 307307307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298296295295296296296297297298298299299299299299299299299299300299299299298298297297297297298298298298299299299299299300300301300301302302302302303303303302302302302302301301300300300300300299299299299299299299299298298297297298299297297298298298298299302303303302302302300300302302301301301301302301302302303304304305306306308307307306306306307308308307306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297298297297297296294293999294292291290293295297297298299299299299299299300300299300300300300301299300298299299298298298298298298298298298297298298298297296296295294295296297295295295294290292292292293292293293292292293292292292292292292292292291290291291291291290290290290290290290290290291290290290290290291291291291291291291291292292292292292291291291291292292292291292293292292292292293293293293293293293293293293293293293293293293294293293293293293293293293293293294294293293293294293294294294294295293294295294294294295294295295295295294294294294295294295295295295295294294294294294295295295294295294295294293293294294294293294293293294294294294294293295293294294293294295295294295293295295295295295295295295295296296295295295294294295294293293294293294293294293293294294294295294295294294294294294294294294294294294294294294295295295295295295295295295295295295295295295296296296296296296296296296296296296296296296296296295295295295295295296295295296296296296296296296296296296297297296297297297297297298298298298298298298298298298298298298298299299300301300300301301302303303303303303303304304304305304304305305304305305305305304305305305304304304303304304304304302303303303302302302302302302302302303303304304303304304305305304305305305305305306305306306306305305305305305305305306305306305305306305305305306306306306306306306306306305305305305305305305305304305305305306305305305305305304304304305305305306305305305305304304305304304303303303303303303303303302302302302303303302303302302302302302303303303302302303303302303303302303304304304304304305304304305304305305305305305305305305304304304305305305305306305305305305305305306305305305305306305305305304304303302302301300301299300300300300301301301300301301301301302302302302302302302302301302302302302302302302302301301302302302302302302301302302302302302 307306306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298296294294295295296296297298298298299299299299299299299299299299299299298298298297297298298298298298298299299300299299300300300301301302302303303303303303302302302302301301300300300300300300300300299299299299299298299299299300298298299298298299299302301302302301301302300301302302301301301300301301302303303304304305305306307306306306305305307306307309308308308307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297297297296293999296297296295296294295296297298298299299299299300299299299299300301301301301299299299299299298299299298298298298297297297296297296296296295295294294295295294293294293291292293293293293293293292293292292292292291292292292293292291291291291291290291290291290290290290290290290290291291290291291291291291292292292292292292292292291291292291293292292292292292293293292293292293293293293293293293294293293293293293294293293293293293293293293294293293294294294294294293294294294294294294294294294294295294295295295295294294294295295294294294294295295294295294294294293294294295295295295297295295295293294294293293293293293294293294294293294293293293292292293294294294294294294295295295295296296296295296296296295296295295294295294294294294294294294294293293294295294294294294295295294295294294295294294294294294294294294294294295295295295296296296295296295295295296297296296296296296296296296296296296296296296295295295295295295295296295295296296296296296296296297297297297297297296297297298297298298298298298298299298298299298299298299299299300300301301301302302302303302302303304304304304305304303303303304304304304305304304304305304304303304303304304303303303303303303302302303303302302302302304304304304305305305305304304305305305305305306305305306305305305305305305305306306306306305305306306305305306305306306306306306306305305304304304305304305305304305306306305305305305305304304304304304305304305305304304304304304304303303302303303303303304303303303303303302303303303303302302302303303303302303302302303303303304302303304303304303304304304304304304304304306305305305305305305305305305305305305305305305305306305306306304305305305305305305304303303303302302301300301300300299299300301301301300301301301302301301302302302302301302301302302302302301301302302302302302302302302302302302302302302302303 306306306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295294295294295295296297298298299299299299299299299299299299300299299298298298298298298298298299299299299299299300299300301301302302302302303302303304303303302302302302301300301300300300300300300300300299299299300300299299299299298298298298298300300301301301301301300300302301302301301300301301302303304304303304305305305305305305305305306306306306307308308309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297296296296296296294295296295295295295296296297298298297298298299299298299299299300300300300300300299298298298298297298298298297297296296296295297296296295294295294293293293293294293292293292293293293293293293293293292292292292292291292291291292292290291291291290290289291290291290290290290290291290290291291291291292291291291291291291291291291291290291291292292293292292292292292293293293293293293293293293294294293293293293293293293294293293293293293293292293293293293294294294294294294294294294293294295295294295295294295295295296294294294294294294293293294294294294294293294295294294294295295295294295294294295295293294294293294293293293294293293293293295295294293294293293293293293293294294295295295295295296296295295295296295296295295295294294294294294294294293293294294294294294294294294294295295295294294294294294294294294294294294294294294294295295295295295295295294295295296296296296296296296296296296295295295295295295295295295294295295295295295295296296296296296296296297296296296296297297297297298297297297298298298298298298298298298298298298299300300300300300301302301302302302302303303304304304304303303304304304303304304304304303305305304304303303304303303303303302302303303303303302303302303303303303303303304304304304304304304304304304304305305305305306305305304305305306306306306306306306306306305305305305305306306305305305305305305305304305305305305304304304305304305304304304304304304304304304304304305305305305304304304304303304303303303303303303303303303303303303302302303303303302303303303303303303303303303303304304304303303304303303304304304305304304304304305305304305305305305305305304304305305306306305305306306306306305304305306305305304303302302302302302302301301301300300300300302301301302301301302302302302303303302301302302302301302301302302302302302302302302302303303303303303303303303302303 307306306305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294294294294294295295296297298298299299299299299300300300300300300299299298298298298298298298298299299299299299300300300301301301301302302303303303304304303303303303303302301301301300300301301301301300300300300300300300300298298299298299298298298299301300300300299300300299303301301301300300300301302304304304304305305305305305305305304304304999999308309307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304999999301300298297296296296296296296293293296295295296297297297297298298298298299299299299299299299300300300300300300298298298298298297297297297297296296296296295296296295294294294293293293294294293293293293292292293293293293293293293292292292291291291291291291291291291291291290290290290290291290290289289289290290290291292291291291292291291291291291291292292291290290291292292292292292292292293293292293293293293293293293293294294293293293293292293293293293293293294293293293293293293294293294294294294294294294294293294294295293295295295295294295295293294293293293294293293293294293293293295294295296295294295296295295295295294294292294293293293293293293294293293293294293293294294294294293294293293293293293293294294294295295296296296295295296295295296295294294294293293294294294294294294294294294294294294294294295294295294294294294294294294295294294294294294294294294295295295295296295295295295296296296296296296296296296296296296295295295295295295294295295295295295295295295296296296296296296296296297296297297297297297297297298298298298298298298298298298299299299299299299300300300300300302302302302302302303303303303304303303303304304304303304304305304304305305305304304304303304303303303303303303303303302302302302303303303303303304304305304304304304304304304304304304304305305305304304304305305305305306306306306306306306305305305305306306305305305305305305305305305305305304305305304305305305305305304304304303304304304305306305305305305305304304304303303303302303303303303303303303303303303303302303303303302303303303304303303303303303303303303304304305305305305304304304304304304304304304305305306305305305305305305305305305305305306306306306306306305305305306305305305305304302303302303301302301300300300300300302301302302302302301302303303303303303302302302302302302302302302302301301302302301302302303302302303303303303303303303 307307306307306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294294294294295296296297298299299299299300300300300299299299299299298298297298298298298298299299299299299300300299300300301301301301301303303303303303303303302302302301301300301300300301301300300300300299299300299300301299298299299299300300300300300300300300299301301302300300300300300300303304304305305304305305305304305305305305304999999999310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301302302302304302299298296296295298295296296294294295296296297297297297297298298298299299299299299299299300299300300299299298298298298298297296297297296297296296296296296296295296294294294293293293293293293294293292292293293293293292292293293292292292292291292291291291292291290290290290290290290290290289290290290290290291291291292291292291291290291291291291292292292291291292292293292292293293292293293293293293293293293293293293293294294293294293293293293293293293293293293294293293293293293294294294295294294294294294295295294294294294295295295295295294295295294294294294294293293294294294294294294294294295295294295295295295295294294294293293293294293294293293293294294294294293294293294293293294294295294294293293295294294294295294295295295295295295295295296295295293294294293293294294294294294294295294294294294294295295295295294294294294295295295295295294294294295294294295295295295296296296296296296296296296296296297297297297296296296296295295295295295295295295295295295295295296296296296297297296296297297297297297298297298297298298298298298298298298298298299298298299299300300300299300300300301302301302302302302303303303303303303304304304303304303304304304304304304304305304304304303303303303303303303304303303303303302303303303303303303303303303303303304304304304304305304304304304305304304304305305305305305306306306305305305304305305305305305306305305304304305305304305304305305305305305305304304304304304304304303304304304304305304304305305304304303303303303302302303303303304303303303302302303302302302303303303303303304304304304304304303303303304304305305305304304304304304303304304304304304304305305305305305305305305305305305306306306306307307307306306306306306306306305304304304303303302301302302300302301302301302302301302302303302302303303303303303303303303303303303302303303302302302302302302302303303303303303304303303303303303 306306306307307308999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293294294294294295295296297298298299299299300300300300299300299299299299298299298299298299299299299299299300299300300301300301301301301302303303303303303303303302302302302301301301301301301300300300300299300299299299300301300299300299300300300301301300300300303303302304301303301300301301301303303303304303304306306304303307307306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300301300300300298296296295295299296295296294294295296296297297297297298298297297298299299299298299299300300299299299299297299299298297297296296296297296296296296295295295295294294293293293292293293292293294293293293293293293293293292292292292292291291291291291290289291290289290291290290290290289289289290290290291291291291291291291291291290291291291292292292292293291292292292293294293293293293293293293293294293293293293294294294294293293293294293293293293293294293293293294293293294293293293294294295294294294294294294295294294294295294294294295294294294294295295295294293292293294294294294294294295294294294294294295296295295294293294294293293294294293294293294294294294294294293293294294294295294295293293293294294294294294294295295295294294294294294294295295294293294294294293294294294294294295294294294294294294295295295295295294294295295294295294294295295295295295295295295295295295296296296296296296296296296296297297297296296296296296296296296295296295295295295295295295295296296296296296296296297297297297296297298297297297298298298298298298298298298299298299299299299299300299299300300300301302301301302302302303303303303302303303304304303303304303303304304304304303304304304303303303304303304303303303303303303303303302303303303303303303304303303303303304304303304304304304304304303304304304305305305305305306306306306305305305305305305306306306306305305305305305305305305305305305304305305304304304304304303304304304304304304304304305305304304304304303303303302302303303303304303303303303303302302302302303302303304303304303304303304304303304304304305305306305304304304304303304304304303304304304305304304305305306306306305306305306306306307306307306306306306306305306306305305304303304303302303302303302302302301302302303303303303303303304303303303303303303303303303303303303303303303303303302303303302303303303303304303302303303303303 307306306306306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293294294294294294295296296297298299299299300300300299299300300299299299298299298298299299299299298299299300300300300300300300301301302302302302302303303302303303303302302301301300300300300300301302300301301300300301300302302301300301300301301302299299300301304302304299300300302302301301302302303302302304304305307305305307306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302300299298296296295294294299298296296295295296297297297297297297297297297297297299299300299299299299299300299299299297298298297296296296296296297296296296297296296296294293294293293292292292293292294294293293293293293292292293292292292292292291291290291291290290290289290290290290290290289289289290290290290290291292291291292291291291290291291291291292292292293293293292293293294293293293294294294293295294294293293294294294294294294294294294293293293293293294293293293293293293293294294293294294294295294293293294294294294295295295295295295295294294294294293294293295294294295295294294294294295295294294294293294295294292294295294294293293293293292292294293294295295295294294293294294295295295294295294293294294294294295295295295295295294295295294292294294294294293294294294294294294294294294295295294294294294295295295295295295295294294295294294295294295295295295295295295295295295295295296295296296296296296296297297296297297296297297296296296296296296296296296296296296296296296296296296296296296297297297297297298298298298298298298298298298298298298298298298298299299299299300300300300300301301302301301301302302302302302302302303303304304304304304304304305305305304304305305304304304304304304304304303303303303303303303303303303303303303303304304302303303304304303304304304304305304303303303304304304305304305305305306306306306306306306306306306306307306305305305305304305305305305305304304304304303303303304303304303303303304304304303304304304303304304303303303303302303303303303303303303303303303302302302302303303304303303303304304304303303304304304305305305305304304303304304304304303303303304304304303304305305305305306305306306305306305306306306306306307306306306306305305304304304303303303302303303303302303302303303303303303303303304304304303303303303303303304304303303304304303304303303303303303303303303303302303303303303303303303 306305305305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293294294294294294295295296297298298299299299299299299299300299299299299299299299299299298299299299299300300300300300300300300301301301302302302302303303302302301302301301301301300299300300300301302301301300301302302301302301302301302302301301305304302305302302302304302303302302301302302301302303302303303303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299296295295294294294297294295295294295296296297297297297297298298298298298299300300299298298298298298299298298298298297296296296296295296297296295296297296294295294293293293293292292293293293293293294293293292293292293292292293293292292291291289289290291291291290289290290289290290289289289289290290290291291291290291291291291291291290292292292292292292293293293293293293294294294294294294294294294294294294294294294294294294294293294294293294293293292293292293293293293293294294294294294294294296293293294293293294294294295296294294294294295295295294294293293294294294295296295294295295294295294295295294294294294295295295294294294293293292292293293294294294294294294294294294294294295295294294294294294294295295294294295294295294294294294294294295294294294294293294294294294294294294294294295295295295295295295295295295295295295295295295294295294295295294295295295295295295295295295295295295296296296296296297296297297297296297296296296296296296296296296296296296296296296296296297297297296297297297297297297298297298298298298298298298298298298299299299299299299298299299299300299299300300301300301301301299301302302302302302303304303304304305304303304304305304303305305304305305304304304304304304303303303303303302303303303303303302302303303302303303303303304304304304304304303304303302303303304304304304304305305305306306306306306306306306307307306306305305305304304305305305304304304304304303303303303303303303303303303303304304303303304304303303303303302302302302302303303303303302303303303302302302303303303304304304304303303304304303303303305304305305305304304304304304303303303303303303303304304304304304305305305306305305305305305305306307306305306305305305305305305305304304304304303303303302303304304304303304304304304304304304304303304305305303303303303304304303304305304304304304303303303303303303303303302303303303304304303303 305304305305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294294294294294294295295296297298298299299299299299299299299299299299299299299299299300299299300299300300300300300300300300300301301302302302302303303302302302301301302301301301300300300300301301301301301301302301302303303303303302302302303303304305304306305303302303302301301302301301302302302303303303303303302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304299295294294293292292294295295294296296297297297297297298298297298299298298299299299298298298299298299299298297297297296296296296295296297297297296296295295297294294294293293293293293293294293293293293293293293292293292292292292291291290289999289290290289290289289289289290289289289289289289289290290291290290290290291291291291291292292292292293293293293294293293293293294293293294294294294294294294294294294294294294294294294294293294294293293293292293293293293293293293293294295295294293294295294293293293293293293293295294294294294294295294294294294294295294293296296296296297296295295295295296295295296296296294294295295295295293293294293294294294294295294294294294295295295295294295295295294295295294295294294294294294294294294294294294294295295295294293294294294294294295295295295295295295295295295295295295295295295295295295295294295295295295295295294295295295295295294294294295295295296295296296296296297297297297297297297296296296296296296296296296296296297296296296297297297297297297297297298298298297298297298298298298298298298298299299299299299299299298299299299299299300300301301300300301301301301301302302302302302303304304304305304304304305305305305305305304305306305305304303304304303303303303302302302303302302302302302303303303303304303303302303303304303304304303302302303302304303304304304305305305306305305305306306306306306307305305305305305304304304305305304304304304304303302302302302303302303303303303303303303303304304303303303302301302302303303303302304303303303302302304303302303303303304304304304304304304304303303303303304304304304304304303303303303303303303303303303303304304304304305305304305305305306306306306307307306305305305305305305305305305304304305304303304303304304304304304304305304304305305305304303304305305305305304304305305305304305305305305305304304304304304303303303303303303303303304304304304 305304305305305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294294294294295295296297297298298298299299300299300300300300300299299299299300299300299300300300300299300300300300300301301301301301302302303303303302302301302301301301300300301301301301301301301301302302303302303303302302302304303303304306306304306304303302303302301301301302302303303302303303303302302301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999999999999999999999999300301298294294294293292293295295295296296297297297298297298298297297298298298298298298299299298297298299298298298298297296296296297296296296297298298296295295296295295294294294292293293293293293294294293293294294293293292292293292292291290290290999288289289289289290289289289289289289289289289289289290290290290290290290290291291292292292292292293293293292293293293293293294293293293294294295295294295295295295295294295294295295295294294294293294293293293293293293293293294294293294294294294294294295294294293293293294293294294294295295294294294294295295295295295295295297296296296296296295296295295296296296294296297295295295295295295294294294294294295294295295295294295295295295295295295296296295295295295295295294294294294294293294294294294293294295294294294294295294294295295295295295295295295296295295295295296296295295295295295295295295295295295295295295295295295295295294294294294295295295295295296296296296297297297297297297297297297296296296296297297297296297297297296297297298297298297297297297298298298297298298298298298298298298298298299299299299299299299300299299299299299300300301300301300301301301301301302302302302302302304304304304304304304305305305305305305305305306305305304304304303303304304302303302302302302302301302302303303303304303303303303303303303303304304303303303303302303303304304305305305305305306305305306306306306307306306306306305305305305304304304304304303303303303302302303302302303303303303303303303303303304304303303303303303301302303303303303303303304303302302303303303303303303303303303304304304304304303303304304303304304304304303304304303303303303303303303303303303303304304304305305305305306306306306306307306307306306305305305305305305305305304304304304304304304305305304304304304304304304305304306305305305304306306304304305305304305305306305305305304304304304304304303304303303303303303303303304304 305305305304304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296294294294294295295295296297297298298299299299300300300300300299299299300300300300300300300300300299300299300300301300301301301300301301302302303303302303303303302302300300301301301300301301301301301301302303302302301302301302302303303305305305306305303302301302303302302302303303303303303303303303302305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305999999303302300298297295295300295294294293294295295296296297297297297298298298298297297297297297297297298299298298298297298297298297297297296297297297297296296297298298296295296296295294294294293293294293293293292292294293293294294294293292293292291291291291290290288999288289289289289289288288289289290289290290290290290290290290290290290291291291292293293293292291293293293294293294293294294293293293293294295295295295295296296295294294294295295295294295293294295294294294294294294294294294294294294294295294294294295294293293294294294295294294295295295295294295295295295296296295295297297297297297296296297297295297297297296295295296295295296295295295294294294295296295294295295295294295296296296297296295296295295295295295295295294294294294294293295295294295293295295295294295295295294295295295295295295295294295295295296296295296296296295296295295295296296295295295295295295295295295295295295295294294294295295295295295295295295296296296296297297297297297297296296296297297297297297297297296297297297297298297297297297298298298298298298298298298298298298298298298299299299299299299299299299300300300300301300301300300301300301301301302301301302302302303303304304305305305305305305305305305305305305305304304303303303303304303302302301301301302301302302302303303302302302303303303303303302302303304303302303304303302303304304304304305305305305305305305305305306306306306305306305305305304305305304304303303303303303302302303303302302302302302302302303303303303303303303303302302302302303302303303303303303303303303303303303303304304304303303304304304304304304303303303303304304304304304304304303303303303303303303303303303304303304304304304305305306306306306306306306306306306305305306305305305305305304305304304304305306306306305304304304304305305306305305305305304305305305304305304305305304305305305305304304304304304304304303304303303303303303303304304304 305305305304304305306999999999999999999999999999999999999999999999999999999999999999999999999999999999297298296294294294294294295295296297297297298299299299299300300300300300300300300300300300300300300300300300300300300301301300300300299300300301301301302302303303303303302302301301301301301301301301301301301300301301301301302301300300304305302300302303303303302302301302304303303302303303303302301301303303302306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306999999304303301300298297296295295296294294294294294295296295296296297298297297297298297298296296296296297296296297297297297298297297297297297296296296297297297297296296296296296295295295295294294293293294295294294294294294293295294294293293294292291291291291291290290289289288289289289289289288289289289290290290290290290290290290290291291291291291291292292294293293294293294293293294294293293294294293293294295296295295295295296296296296296296295295295295295295295295295294295295294294294294294294294294294294293295294293294294294294294294294294294294295295294295294295295296295295296296296297298297297296296296297297296297296297296295296295295295295296294295294294294295295295294294296295295296296296296296296296296296296296296295295295295294294294294295295294295295295295295295295295295295295295295295296296295296296296295295296295295296296296295296296296296296295295295295296295295295295295295295295295294294294294294295295295295295296295295296296297297297297296297296296296297297297297296297296296297297297297297298298297297297298298298298298298298298298298298298298298298299299298299299299300300300300300300301301300300300300300300301300301301301301302302303304304304304304304305305305305305305305305305305304304304303303303303302302302301301301301302302302302302302302303303302303302303302302302303303303303303303303303304303303304304304305305305305305305305304305305305305305305305305305304304304303303303303303302303303303303303303302302302302302302303303303303303303303303303302302302303303302302302302303302303303303303303304304304304303304304304305305304304303303303303304304303303304303304304304304303303303303303303303303304303303304304304305305305306306306306305306306306306306306306305306305304304305304304305306306307306305304305304305305305305305305305305305305305306305305305305305305305305305305305304304304305304304304304303303303303304304303304304 305305305305304304305305999999999999999999999999999999999999999999999999999999999999999999999999999999298298297294294294294295295295296296297297298299299299299300300300300300300301301301301300300300300300300300300300300300300300300300299300300999999300301303302303302302301302301301302302301301301301301300301301300300300301302302302303302302302302301302301303303303302302302302301301302302302302303303305303302307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309999307307304302301299298297297296295295294294294294295295296296296296297297297297297297296297297297297297297297297296296296297297297297296297296296296296296296296296297296296296296295296296296295294294295295295295294295295295295295295295295294293292291291291292291290289288999288288288289288289288289288290290289290290290290291290291291291292291291291292293293294294294294293293294294294293293293294295294294295295295296296296295296296296296296296296296295296296295295294295295295295295294294294294294294294294294295294295295295295295294294294295295296296296295295294295295295296295296296296296297297297298298296298297297298297297296296295295295295295295294294294295294294294294295295294294296296297297297297296296297296297297296295295295295295295295295294295295295295294295294295295295295295295295295294295296295296296296296296295295295296296296296296296296296296296296296296296295295295295295295295295295294294294294294294295294295295295295295295296296296297297297297297296296297297297296297297297297297297297298297297298298298298297298298298298298298298298298298298298298298298299299299299299299300300300299300300301301300300300300300299300300301301301300301302303303304304304304304304304305305306306305305305304305304304303303303303302302302301301301301302302302302302302302302303302302303302302302302303302303304303302303303303303303304304304304305305305305305304304304304305304304305304305305304304304304303303303303302303304304304303302302302302302302302302303303303303303303303303303302302303303302302302302303302302303304303304304304304305304303304304305304304303303303303303304305304303304305305304304304303303303303303303303303304304304304304305305305305305305306305306305305305306305306305306305305305305305305306306306307306306306305305306307306307306306304305305305306305306306305305306305305305305305305304304305305304304305304305304304304304304304304304304 305305305304304304305999999999999999999999999999999999999999999999999999999999999999999999999999999999300298296294294295295295295295295296296297297298298299299299300300300300301301301301301301301300300300300300300300300300300300300300300300999999999999301302302301301302302301301302301301301302301300301302299299301301301302302303302303302303303302302302303303303303303303303303302302303303303303303303303300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308306306304300298297297297296295295295295294294295295295296296297297297298298297296296296297297297297297296296296296295295296296298296296296296296297295295295295295296296296295295295295295296295296296296296295296296296296296296295296294294293292292292291291290290289288286288288288287288288289289289290290290290290290291290290290291291292291292292293293293294294293293294293294294294294294294293295295295295295295296296297297297296297297296296297296295295296296296295295296295295295295294294294294294294295294294294295295295295295295295295295295295295296294295295295295295294296296297296297297297297298298297296295297296296296296295296295296296295296295296295294295294294295295296295295296297297297296296295297297298297297297295295295295296295294295295295295295295296295296295295296296295295296295295295296296296295296297296296296295296296296296296296297297297297297296296296296296295295295295295295294294294294294294294295295295295295295295295295295296296296296296296296297297297297297297297297297297297297297297298297298298298297298298298298298297297298299298298298298298298298299299299299299299299299299300300301301300300300300299300300300301301301300301302302303303304304304304304305305305305305305305305304304304303304303303303302302302302301301301301301301302302302302302302302303303302302302302302302303303303302303303303303303304304304304304304304304305305304304304305304304305304304304304304304303303303303303304304304304303302302302302302302302303302303302303303303303302302302302302302303302302302302302302302303305304304304304304305303303304304304304304304303303303304304303304303303305305305305304303303303303303303304303303303304304304303305305305305305305306305305305304305305305306306306306306305305306306306306306307306306306305306306306306307305305305305305305306305305305305306305305305306305304305304305305305305305305305304305304304304304304304304 305304304304304304304305999999999999999999999999999999999999999999999999999999999999999999999999999999300298296294294295295295295295295295296296297297298298299299299299300300301300300301301301300300300300300300300300300300300300299300299299301999999999302301301302302302302302301301301302302301301300300300300300301302302302302302303303303304302302302303302303303303304303304303304303303304303303302303303301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307306305305300298297297296296295295295295295295295295295296296297297297298297296296296296298297297297297295295295295295296297297297296296296296296295295295295295295296296296296296296296296296297296298296296296296296296296297297296295294293293292292291291291290290289288287286288287288288289289290290290290289290290291290290290290291292291292292293294293294293293293294294294295295295294294294294294294295295295294295296298296296297297297297297298296295296296296297296296296296295296295295295294294294295294294294294295296295295295295295295296296295295295295295295295295296296297297298297296297298297296296296297297296295295295294295295296294295296296296294295295295294295295295296298297296297297296295296296297297297297295296295296295295295295294295295295295295295295296295296297296296296296296295295296297296296296296297296296296296297296297296296296297297297297297297297297296296295295295295295295295294294295295295294295295295295294295295295295296296295296296296296297297297297297297297297297297298297297297297297297298298298298298298298298298297298297299298298298297298298298298299298299299299299299299301301301300299299300299299300301301300300301301301301302302303303303304304304305305304304304305304304303304304303303303302302302301302301301301301301301302301301301302302302303303302302302301302301301302302302302302303303302302303304304303303303304304305304304304304304303303303304304304304304304303303303303304304303303303303302302302302302302302302303303303303303303303303303302302303302302303303302302302302302303305304304304304303303303304304303304304303304303302302303303304303303303304304304305304303303303303303303304304304304304304304304304305305305306306305305305305305305305306306306306306306305305306306307307307307306306307307307306306306305306305305305306305306306305304305305305306306306305304305305305305304305305305306305305304304304304304305304 305304304304304304304304306999999999999999999999999999999999999999999999999999999999999999999999999300299298296295295295295295295295295295296296296296297298298299299299299300300301300301301300300300300299299300300300300301300300300300300300300301999302301301301301302302302301302301302302302302302300300300300301301302302302300303303302303303303303304302303303305304304305305304304304302303303304303302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306302299297297297296296295295295295295295295295295296296297297297297297296296296295297298297297297296295295296295296296296296295295295295296295295295295295295296296296297296296295297296295296296296296296295296296296296296297294292292292292292291290290290289289289288288288289289290290290290289289289290290290291291290290290291291291292292293293294294293293294294294294294294294294295294295294295294295295296295296296297297297297297297297297296297297296297297297296297296296295295294295294294294294294294295295295295294295295295296297296296295295295295296295295294295297297297297297297297297296295296296297296296295294295295295298296294296295296295296296296296294295295295297298297297296296296296296296297298296295295295296297296295294294295295295295295295295295295295295296296296296295296296296296297296296296296297297297296297297296297297297297297297297297297297297297296296296296295295295295295295295295295294294295295295295294295295295295295295296296296296296296296296296297296297297297297296296296297297297297298298297298297298298298298298298298298298298298298298298298298299299299299299298299299300300300300300299299299299300300300300300300301301301302303303302303303303304304304303304303304304303303303303303303302302302302301301301301301301301301301301301302302302302302303302302302302302301300301302301302302302302302303303303304303303303303303304304304304303303303304303303304303303303303303304304303303303303303303303301301301302302302303302303302303303303304304303303303303303303303303302302301302302303303304305304305304303303303303303303303303303303303303303303304304304304304304304304306304304304304304304304304304304304305304304305304305304305305305305305305305305305306307306306307306306306306307307308308307307307307307307306307306306306306306306306306306307305305305305305305306306306305305305306305305305305305305304304305305304305305305303304 304304304304305305304304304305999999999999999999999999999999999999999999999999999999999999999999999999299299297295295295295295295295295295295296296296297297297298299299300300300300301301300299299300299299299300300301301301300300300300300300299299300302301300301301302303302302302302303303303301301302300301303302301301300299301301303302302302302303303303303303305305305305305304306306305304303303303301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304304301298297297296295296296295295295296296296295295296296297297297297297297296295296296298298297297296295295296296297296296296296296295295296296296295296296296296296296296297297296296296296297297298297297297296297297297297297999292292292292291291291291290290290289290289289289289290290290289288289290289289290290290290290290290291291292292293293294294294294294294295294295295295295295294294294295294295296296296298297299298297297297297297297297297297297297296297296296296296295295295295295294294294294294295295295295295295294294295295295296296296296296296295294295295296297296296296296296297296297296296298296295296294295296297298296295295295295296297297298298295296298298298297297297296296297296296294294296297296295297296295295295295295295295295295295295296296296296296296296296296296295296296297297297297296297297296297297297297297297297297297297297297297298298297297297296296296295295295295295295295295295295295295295295294295294294295295295295296296296296296296296296296296296296296296296296296296297297297297297297298298298298298298298298298298298298298298298298298298298299299299299298299299300300300299300300300299299299299299299300300300301301301302302302302303303303303304304304303304303303303302302302302302301302301301301301300301300301301300301301301301301302302303303302301301301301301301301301301301301302302303303303303303303303303303303304304304304304303303303302303302303303303303303303304303303303302302303303301301302302302302303303303303303303303304304303303302303302302303303302302302302303303304304304303304303303302303302302303303304303303303302302304304304304305304305305305305305304305305305304304304304304305304304304305304305305305305305306306306305306306306306306307307307307306307308308308309308307307307307308307307307306306306306306307306307307307305306306305306305306306305304305305305305305305305304304304304304304305304304303304 304303304304304304304304305305305999999999999999999999999999999999999999999999999999999999999999999999300300297295295295295295295295295295295295295295296296296297297298299299299299299300299299299299299300300300300300300300301301300300301300300300300300301300300301303301303301301302303302302301301301302302301300301302301302302303304304302303303305304304304304307307305305305306307306305303303302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309307306305302300300298298297296296296296295295295296296296295295296296297296297297297296295295296296297298298297296296296296296297296296296296295295295296296295296296297298297296296297296296296296296295296298298298298297297297297298298297296999292291291291291291290290290290290290289289289289289290289289289289289289290290290290290290290290292292292293293293294294294293294295294295295294296295295295295295294295294295296297297297299298297297297298298297297297297297297297297297297297296295295295295294294294294294294294294294295295296295294295296296296296295296296296295294295295296296296297298296295295296295295296297295297297295296296296296295298298297296297299299297299296296297297297297297297296295296295295296296297296295295295295295295295295295295295296296296296296296296296296297297297297296296297298297297297297297297297297297297297297297297297297297298298298298298297297297297296296296296296296295296296296295295295295295295294294295295295295295296295296296295296296296296296295295296296296296296296296296296297297297297297298298298298298298298298298298298298298298298298298298298299299299298298299299300300299300300300300299299300299299299299300300301301301302301302302302302303303304304303303303303303302302302302302301300301300300300300300300300300300300300301301301301302302303303302301301300300300300301301301302301301302302302302302302303303303303303303304304304304303303302302302302303302303303303303303303303303303302302302302302302302302303303303302302303303303304304303303303302302302303302302302302302302303303304303302303302302302302302302302303303303303303303303305305304305304304304305306305306306305305305304304304304304304305304305304304304304305305305305306306306306306307306307307308307306306307307308308308308308308308308308308308308306307306306307308307306306306306306308307306306306306306305306305305305306305305305305304304305305304304304303304 303303304303304304304304303304304999999999999999999999999999999999999999999999999999999999999999999999300299297295294295295295295294294295295295295295295295296297297297298298298298298298298298299299299299299300300300299300300301300300300300300300300300300299300300301300301302300302301301302302302301301300301301301302302302303304304303303305305305304305305306307306306306306306306305304304302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304305305302301300298297296296296296296296295296296296296296296296296296297297297297296296296295296296297297297296296296296297297297296296295296296296296296296297297297296296296297297296296296296295298299300298298298298298298298298297297297999292290290290291290290290290290289289290289289288289289288289289288289289290290290289289290290291291292292293293294294294294293294294295295295295295295295296295294294294295295296297297296298298298298297297297297298298297297298298297297297297296295295295294295294294294294294294294294294294295295295295295295297295295296296295295294295295296297297296295295295296294297295296297296297296296296298299298297299298297296297298297296297299296297296298298296295297295296296296296297295296295295295295296295295295296296295296296296296296297296297296296297297297297297297298298297297297297297298297297297297297297298297297298298298298297297297297297297296296296296296296296296295296296296296295295295295294294295295295295295295296296296296296296296296296296296296296296296296296296296297297297297297298298298297298298298298298298298298298298298298299299299298299299299299299299299299299299300300301300300299299299299300300301300300301301302302302302302303303304304303303303303303302302302302301301300300300300300300300300300300300300300300300301301302302301302302301301300300300300301301300301301301300301301301302302302303303302302303303303303303303303302302301302302302303303303303303303303304303303302302302301302302302303303303303303303303302304304303303303303302302302303302302302302303303303304304304303303302301302302302303303303303303303303304304305306307305305305306306306306306305305305305305304304305304304304306305305304304305305305305305306306306306307307308308307307307307307308307309309308308309308308309308309308308307307306307307307306306306306306306307306306305305305305305305306306306305305306305305305305304305305304305306 303304304303303304304304304304303302999999999999999999999999999999999999999999999999999999999999999999299298297295294294295295295294294294295295295295295295295295296297298298298298298297296298298299299299299299300299299300300300300300300300300299300299299299299299302301300300302302302303302302301301300299300300301302304304303304304305305304305305306306306307306305306306307306305304303303302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304303302299297296297296296295296296295296296296296296296296296297297297296296296296296296296296296297297296297296296296296297296295296296296296296296296296296296296297297296296297296296297298299300299299297299298299299298298298298297295293292291291291290289289290290289289290289289289289289288288289288288289289291290289290290290291292292293293293293293293294294294294294294294295295295295295295295295296295296296297297297297297297297297298297297298298298298298298298298298297296296295295295295294294294294294294295294295294295294295295296295297296296297297295296296295296296296295296297296294295296298296296296296296296296298300297297298299298297297297297297299297298299296295298297296295297295296297296297296296296296296296296296296296296296296296297296296297296297297297297296297297297297297297297297297297297298297298297298297298298297297298298298298298298298297297297297296296296296296296296296296296296296296295296295295295295295295294295295295295295296296296296296296296296296296296296296296296296296296297297297297297298298298298298299298299299299298298298298298299299299298298298299299299300300299299299299299300300300299299299299299300300301300300301301301301301301302303303304303303303303303302302302302301300300300300300300300300299300300300300300300300300301301302301302302301301301301301301300300300300301300300300300300301301301302302302302302302302302302302302302302301302301301302302303303304303302302303303302303302302302302301302303303303303303303303303303303303303303303302302303303303303303303303303303303304304304303303302302302302303303304304304304304305306305305306304304305305305306306306306305305305305305306305305305306306304304304304306306306305306306306307307307307307308307307307308308308309310309308308309309309309308308309308308307307307306307306305306306306305306306306306305305306305306307306306306306306305306306305305305305305306305 302303303303303304305304304304302303302999999999999999999999999999999999999999999999999999999999999999299298297295295295294295295294294294295294294294294294295295296296298298297297297297297297298298298298299300300299299300300299299300300300300300300300298298299299300301300301302301301302302302302301303302301301302303304305305303305305306305305306306306306306305305305305306306304303302303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305302303303301298296296296297296297297297296296296296296296296297297297297297297297297297296297296296297298298297296296296297297296296295296296296296297297297296296296297297297296296297296298298299301300299299300300299299299299299298298296296295293292292292291291289291290290289290289289288289288288288288288288288288290290289289290291292292293293293293293294294293294294294294294295295295294294294295295295296295295296297297297297297297298298298297297297297297298298298298298297296296295295295295294294294294294294294294294294296295295295295297297298295296297297296295296296296296296295297297296296295296298298297296296296296297297297298297299299297297298298297298298300298298299299297296295295296298297298296297297297296296296296296296297296296296296296296296296296297297297297296296297297297297297298298298297297297298297297298297297297297297297298298298298298297297297298297297297296296296296296296296296296296296295295296295295295295295295295295295295295296296296296296296295295295296296296296296296296296297297297297297297297298298298298299299298299298298298298298298298298299299299299299299300300300300299299299300300300300300299299299299299300300300300300300301301301301302302302302303303303303303303302302302302301300300300301300300300300300300300300300300300300301301301301302302303302302301302301301301302302302302300300300299300301300300301301302302302302302301301301301301302302301301301302302302303303303303303303303302303302303303303302302303303302303303303304302302303303303303302303303303303303303304303304304304304303304304303302302302303303304303303304304304304305305305306305304306306305306306306306306306306305305306305306306306305306305306305305306306306306306306306307307307308308308307307308308308308309310309308308309309309308308308308308308307307307306306306306306306306305306306306306306306306307306307306307306306307306305305305305306306305305305 302302303302303304305304305305305303303999999999999999999999999999999999999999999999999999999999999999298298297296295295295294294294294294295294294294294294294295295296297297297296296297999297297298298298299299299299299299298298298298299299299300300299300299298300299300300302301302302302302302302302301302301302303304304303303304305306305306307306307307307306304305305305306305303305302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302305304303302300298297296297297298298297297297296296296296296296295296296297297297298297297297297297297296298299298297296296297297297296296296296297296296296296296296296296296295297296298299300300300301301301301300300300300300299299299298296295295293292292291291291290289289288288288288288288288287287288288288289289288290290288289290291292293293293293293294294294294294293294294294294295295294295294294295295295295296296296297297297297297297298298298298298298297297297297297296296296296296295295296294295294294294295294294294295296296295296295296296296295296296296296296296296296296296296296296296298297296299296297297296295296296296299299299298298298298297297297298297295296298297297298297295296295298298298296296296295296296296297297296297297296296296297296297297297297297296297297297297297297297297298297297297297298297297297297297297297298298298297298298298297297297298297297297297297296296296296296296296296296296296295295295295295294295295295295295295296296296296296296296296295295296296296297296296297296297297297297297297297298298298298299299299298299298298298298298298299299299299299299300300300300300299300300300300301300300299299299299300300300300300300300301302302302302302302302303303304303303303302302302302301300300300300300300300300300300301300300300300300301301301302302302302302302301302302301302302302302302301301300300301300300301300301301301302302302301300300301301301301301301302301301302302303303303303303303303303302302303303302302302302302304303303303302302302302303302302302302303302303303303303303304304304304304303303303303303303303303305304304304304305305306306306306306306307306306307306306307306306306306306306307306306305305306306306305305306306306307307308308308309309309308308308308309308308309309308309309309309309308309308307308307308307307306307307306307307306306307306307306306306307307307307307307306306307306306306306305305305306305305 303302303303303304305305304305305304302999999999999999999999999999999999999999999999999999999999999999299298298297295295294295295294294294294293294293294294294294295296295296296296297297297297297298298298299299298298298298297297297298298299299299300299300301301299298297300300300301301302301300300302303303302304304305304304304307306305305306306306306306306305305304305306306309306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303301300298297297297297297296296296297297296296297296296296296297297297298298297297297297297297298298299299298297296297297297296296297297296296295296295296295296296296297296298300300301300301301302301302301301300300300299299298297296295294292292291291291290290290290288289288287287287287286286288287288288289289291291289289290291292292292293294294293293294294293295295294294295294294294294294294294295295295295296296296296297297297297299298298298298298297298298298296296296296296296295295296295295294295294294294295295295296295296296296295296296296296296296296296296295296296295297297296297297297298296299297298296296295295297297298299300299298298297297296296295295295296298298298297296296296297297296296296296296296297297297297296297297296296296296297297297297297297297297297297297297297297297297297297297297297297297297297297298297298297297297298297297297297297298297297297297297296297296296296296296296296295295295295295295295295295295295296296296296296296296296296296295295296296296296297297296296297297297297297298298298298298298298298299298298299299299298298298299299299299299299299300300300300300299300300300300301300300300300299299300300300301300301301301301302302302302303303303303303303303303302302302301301301300300300301301300300300300300301301301301301301301301302302302302301302302302303302302302301300302301301301302302302301301301301301301301301301301300300301301300301301301301301301302302302302302302302303303302303303302303302302302302303303303303303302302302302301302303302303302302302302304304303303305305304304303303303303303303303304304304305304305305306306306307306307307307307307308307308306306306306306306305306306305305305305305306306306307307307307308308309309310310310308309309309308308309309308309309309308308309308309308308308308308307307307307307307307307306307307307306306306307307306306307306306306306306307307306306305305305306305305 303303303304304304305305305305305304302999999999999999999999999999999999999999999999999999999999999999298298298297296295294294294294294294294294293293293293293294295296295999296296296296297297297298298298299298298298297297297295297297297299299300300299300299300299298300299299301301301301302301301301302303303303304304305305306305305305305306307307308306307307307306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302299298297297297297296297296296296297296296296296296296297297297297297297296297297297297297298299300300299297297298297297297297297297295295295296296296296297297299299299299300300301301301300301301301302302300300300299299298297296294293292291292292291289291290288288288286286286286286285286287287288288287289291293291289290291292292292293293293293293294294294294294294293294294295294294294294294295295295296295296296296296297297297297298298298298298297298298298296296296296296296295295295294295295295294294294295295295295295296295295295296296296295295296296295296296296298296296296296296296297297297296296297296297296297297296298300299299299297297297297296296295297298298298298298298297297298297297297296297296296297296297296297297297297297297297297297297297297297297297297297297298297297297297297297297297297297297297297297297298298298297298298297297297297298297297297297296297297296297297296296296296296296296296295295295296295295295295295296296296296296296296296296295295296296296296297296297297297297297298298298298298298298298299299299299299299299298298298298299299299299299300300300300300300299299300300300301300301300300300300299300300301301300301301301301301302303302303303303303304304302302302302302301301301301301301301301301301301301301301301300300301301301301302302302302302301302303303303302301301301301301301301302302301301301300300300301301301301300300300299299299299300300300301301302302302302302302302302302303303303303303302302302302303303303303303303302302302301301302302303302303302303303303303304304304304304303304304303303304304303305304304305305305306306306306308307307307308308307308307307307307306306306306306306305305306306306306306306306307307308308309309309309310310309310309309308309309308309308308309309309309309309308308308308308307307307307308307308308307307307307307307306306307306307307307307306307306307307307306306306305305305305 303304303303304303305306306306305305304999999999999999999999999999999999999999999999999999999999999999297297298296295295293292293293293293294294293293293293293293294295294294295295295296297298298298297298298297297298297298298298298299298299301300300299299300300300299300300299301301300300300301302302303303303304305305305305306305304304304305306306305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297296296296296297297296296296297297296295296296296296296296296296297297297298296298297297298299300299298297296297297297297297297296296296295297296298298298298300300300301300300300301300301301302301301301301301300300299298297295292291291291291292292290289289289287286285285284284285285285286286286288289289291290291289290291292292291292292293293293293294294294294294294295294294294294293294295295295295295295296296297296297297297297297297297298298297299298296297297297296296296296296295295295294295295295295295295296295295296296295294296296297296297296297296296296297297296295298297295295298296296297296296295296296297296296297297299298298297298298297298298297299299299298298297298298297299298297296296298297297297297296296297297297296296297297298297297297297297297297297297297297297298298297297297297297297297297297297297297297298298297297298298298297297298297297297297296297297297296296296296296296296296295295295295295295295295295295295295296296296296296296296295295296296296297297296297297297298298298298298298298298298298298299299299299299299299299299298299299299299299300301300300300300300300300300301301300301301300300300300300300301301301301301301301301302302302303303303303303303303303302302302302301301301301301301301301301301301301301301301301301301301301302302302302302302302303303302301301301301302301300301300301300300301301299299300300301300300300300299299299299299300300300300301301302302303302302302303303302302303303303303302302303303303303303303303303302301301302302302302302302301302303304303303303304304304304304304303303304304304305305305305306306306306306306307307307308307307308308308307307307307307307307307307307306306307307306306306306307308308308309310309309309309309309309309309308308309309308308309309309309309309309308308308308308308307307307308308309308307307307307307306306307307306307307306305307306307307306306307307306306305305 302301304304305305304305306306305305304304999999999999999999999999999999999999999999999999999999999999999297296296294293293999293293294293294294293293293293294294294295295295295296296296296297297296296297296297297297298298299299299299298300300300300299301300300301300300299301301301302302302302302302303303304305305305304303305305303303303304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298295295295296296296296297297297297297296295295296296297296296295295296296297297297297297298298300300299298297297297297298298297296296296296297296299300298299299299300299299300300300300300300300300300300301301301301300298298298295291291291291291290290288288287286285285284284283283283283286285285287289290288289290290291290291291292292292293292293293293294294293294294294294294295294295294294295295295295295295295296296295297297297297297297297298297297297297297297297296297297296295295295295294296296295295295295295296296295296296295295294296296297297296296296296297296297296297297297296295297297296297297296295296295298297296297297297296296296298297297299298298297298298297299299299298299298297297297298297297297297297297296296297296296296297298298298297297297297297297297297298298298298298297297297297297297297297297297297297297298298297297297297298298298297297297297297296297296296296296296296295295295295295295295295295295295295295295295295295296296296296296296296296296296296297297297297297297298298298298298298298298298298299299298299300299299299299298299299300300300300300301300300301301301301301300301301300301301300300301301300301302301302301301302302302301303302303303303303303302302302302302302302302301301301301302301301301301301302301301301301301301301302302302302301302302302302303302301301301301301301300301300301300300300300300299299300300300300300300299299298299299300300299299300301302302302302302303302303303303303303303303303303303303303303304303303302302302301301301302302302302301302303304303303303303303304303304303304304304304304304305305304305305306307307307307306307307308308308308308308308308308308308309308308307308308308307307307307307307307308309309309309309309309310310310310310309309309309308309309309309309309309309308308308308308308307307308308309308307307308308308307306306307307307307307306306306307307307307306306307307306305305 999999304304305304304305306306305305305305304304999999999999999999999999999999999999999999999999999999999999999295294293293294293293294293294294293293293294294294295295295295296296296297296297296296295296297297298298297298298299298300300300299300301300300300300299298299298302302302304303302302303303304305305305305305305303304304303303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295295295296296296297297297296297296295295295295295296296296296295296296297296296297297298300301301300299298298298297297297297297297296297298297298298298298299299299299300300300301300300300300300300301301302302301300299298298295294294293291290289289289287286285283285283282282283283283284284286288288289287288289290290289290292292291291292293293293293294294294294294294294294294294295294294295295295296296295295296296296297297297297297297296297297296296296296297296296296296296296295295295295296296295295295296296297296296297296295296297296297297297297297296296297297297296295296298296297296295295296295294295297297297297297296296296296294296298298299299298298298298298298299297297298299297297297297298299297298297297297296296297297297296297297298297297297297297297298297297298298298298297297298297297297297297297297297297297297298297297297297296297297297297297297297297297297296296296296296295295295295295295295295295295296295295296296295296296296296296296296296296296296296297297297297297297297298298298298298298298298298298299299299299300300300300300300300300301301301300301301301300301301302302301301301301301301301300300300301302302301301301301301301301301301302302302303302302302303302302302302302302302302302301301302302302302301302302302302302302302302302301302302302301301301302302302302301301301301301302301300301300299300300299300298299299299300300300300299299299299299300299299300300301301302302303303303303303303303303303303303303303303303303304303303303302303302302302302302302302303303304303303303302302303303303304305304304304304304304305306306305306306307307307307307307307307308308308308308308308309309309309310309309309308308308308308308308307308308308308309308309309309309309309310310309309309309309309309309310309309309308309309309307307307307307307307308308308308308308308307308307307307307307307307307307307307307307307306307307307307305306 999999999304304305306305307306306306306305305305305304999999999999999999999999999999999999999999999999999999999999294293293294294294293293293293293293293293294294294295295296296296296297297295296296296297297297297298298298298298299299299299299300301300300300300300299299299301302304304305303304305305306305305305305305305304305304303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296295296296296296297297297296295295296295295295295294294294294295295295296296296296298299301301301300301298298299299299298297297298297297297297297298298299299299300299300300300300301301301300301301301302303302301300299298298296294293292291289289287287286285283285283283282282282282283284285287287290290288287288288289999291292292291292292293293293293293294294294293294295295295294295294294294295295295296295295296296296297296297296296296296296296296296296296296295295295295295295296295294295296296296296296296296296297296296297296296297297297298297298297295296296296296295297297296296296297296296296294294295297297297298297296296297298295297298299298299298298299298300297298297297298299300298298298298298297297298297297296296297297297297297297298297297297297298298298298298298298298298298298298297298297297297297297297297297297298298297297297297297297297297297297297297297296296296296296296296295295295296295295295295295296296296296296296295295295296296296296296296297296297297297298297297298298298298299298298299299299298298299299299300300300300300301301300301302301301300301301301301301301301301301302302301301302301300300301301301301301302301301302302301301302302302302302302302303303302302302302302302302302302301302302302302302301302302302302302302302302302301302302302301301301302302302302301301301301301302300301301301300300300300300299299299299299299299299299299299299300300300301301302301301302302302302303303303303303303303303303303303303303303303303303303303303302302303302302302302303303304303303303303303303303303304305305304304305305305305306306306306306306307306307306307307308307308308308309308309309309309311311309309309309309309309309308309309309308308308309308309309310310309309309309309309309309309309310310310309308308308308308308307307307307307307307308309307308308309309308308308308308306307307307307307307306306306306307306307306306306305 999999999304305307306306306307306306306306305305305305304999999999999999999999999999999999999999999999999999999999295294293294295293293293293293293292292293293294294295295296296296297297296295296296296296297298298298297298297298299299298299300300299299299300300300302301301303303305305305304305304305306305305304304305305304305304303302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297298297297297297297296296296295296295296296294293293293294294295295296296296297298299300301301301301299300300300299298298297298297298297297297298299299299299299299300300300300301301301301301301302302302302302300299298297295293292291290288287287285285282283283283283282282282283284284285285288290289287287288999999999999291291291292292292293293293294294294294294294294294295295294294294295295296296295296296296296295296296296297297296296297296296296296295295296296296296294296296295295296296296296296296296296297296297297297297298298297297297298298297295297296296296297296296296295295296296297295296296296296297297297298297296298298299299299300300299298299299299299299299297298298299299299299298298297298298297297297297297297297297296297297297298297297298298298298298298298298298298298298297298297297297297297297297297297297298298297297297298297297297297297297297297297296296296296296296296296296295295296295295295295296296296295295296296296296296295296296296297297297297297297297298297297298298298298298298298299299299298299299299300300301301300301301301301300301301300300301301302301302302301301302302302301301299299301301301301301302301301301301300301302303301302303302302302303302302302302302302302302302302302302302302302302302302302302302302302302302302302302302302302301301302301302302302301301301301301300301301301301301300300300300299299299299299299299299299300300300300301301302302301301301301302302302303303303303303303303303303303302303303303302302302303303302302302302302302302303303304304303303303303303303304304305305305304305305306306306306306306306306306306307306307307307308308307308309309310310310309310310309309309309309309309309309309309309308308308309308308309310310310309309309309309309309309309309309309309308308308308308307307307306307307307308308308308308307308308307307307308307306307306307307306306306306306306307306306306306306305 999999999999306306307305305305305305305306306305305305305304999999999999999999999999999999999999999999999999999999999294293293294294293293293294293293293293293294294295295295296296296297296297296296297296296297298297298297297298298299298298299298299298299300301302301302301302303305304305305304305306306305306305304305305305304304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299297297297296296295295295296297296295295294293293294294294294295296296296297299299300301302302301301302301300300299299298298298297297298298299300300300299299299300300301300301300301301301302303303303303302300299297296292293292290289287287285284282282282282282281282282282283283284284286287289290289288288999999999291291291291291292292293293294294295294294295295295294295294294294295295295295295295295295295295295295295296295296296296296296296296296295294296297296296296295296296296295296297297297298297297297297298298298297298298297297297297298296297297296296297299297296295298297297295297296296296296296297297298298296297297297299299300299300299298298298298298299299298298298298299298298298298298298298297297297297297298297297296297297298298298298298298298298298298298298298298298298297298297297297297297297297297297297297298298297297297298297297297297297297297297297297296296296296296296296295295295296295295295295296295296296295296296296296296296296296296296297297297297297298298298298298298298298298299299299299299299299299300300301301300300301301300300299301301301301302301301302302302302302302303303302301302301300300301301301302301301301302301302302302302302302301301302301301302302302302302303303303303303303302303302302302302302302302302303303303303303303302302302302302302302302302301301301301301301301301301301301300300300300299300299299299299299299299300300300300300300301301301301301301301301302302302302303303303303303303303302302302302302302302302302302302302302302302302303303303303303303303303303303304304304305304305305305305306306306306306306307307307307307307308307308308308308308308309309309309309310309309310311311310309310309309309309309309308309308308310310310309309309309309309309309309309309309309309309308308308307307307307307307307307308309309309308307308308307308307308307307306307307307307306306307306307307307307307306306306 999999999999999305304299311999304305306306305305305305305305304999999999999999999999999999999999999999999999999999999999294293295294294294294293293293293293293294294294295296296296296296296297296296296297297298298298298298299299298298298298299299300300300301301302301301302302303303304303304305305306305305306304305304304304304303303301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300296295295296295295296296298296295295294294294295294295295296296296297299300300301302302303303303303303301299299300299298298298298298299300300300300299299300300301302301302301301301302303305304304303303301299298296295294292289288287285285283281282282282282282282282282283282284284286285288290290291999999999999291292291291291291292293293294294295295294295295295295295295295295295295296296295295296296295296295295295295296295295295295295295295295296296296296297296296295296296295296296297298298298297297296297298298298299299298297296296295297296297296295297298299299296296298297297297297298296296297297297297297297298299298298299300299300299299299298297298299298298298299299298299298298298298298298298298298297297298298298297297297298298298298298298298298298298298298298298298298298297297297298298298297297297297297297298298297297297297298297297298297297297298297297296296296296296296296295295295296296296296296296296296296296295296297296296296296296296297297297297298297298297298298298298298298298299299299299299299300300300300300301301300300300301300300300301302301302302302302302302303304303303303303303302302301301301302301301302302301301301302302301301302302302302302302302302302303303303303303303303304303303303303303303302303303303303303303303303303303302302302302302302302302302302301301301301301301301301302302300300301301300300299300299299299299299300300300301302301300300301301301302302302302302302302302302303303303303303303302302302302302302302303303303303303303302302303303303303303303303303303303304304305305304304305306306307306307306306307307306307307308308308308309309309309309309308309308310310309310310310310311311310310310309309310310309309309309310309310310310310309309309309309309309309309309309309309309308308308308308307308308309308308309310309309308309309309309309308307307307307307308307307306306307307307307307307307306307307 999999999999999999303303999999999305305306305303304304305305305304303301999999999999999999999999999999999999999999999999295294295295294294294293293293292292293293294294295295295296296296297297297297296297298298297298298298299299298298298298299299300301301301301302304302303302302302303303304304304305306306306305304304304304305304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304303300296295294296295295296296296295295294294294294294294295296296296297298300301301302303303303303305304303302300301300300300299299298298299300300301301300299300300300302302301301301302303304304305305304303301299298296293292291289287286284282282282282282282282282282281283283284285285286286288999294294294999999999293292292291292292293292294294293294295295296295295296296295295296295295296296296296297296296296296295296296296296296296295296296296296297297297297297296296295297297297298298300299299299299298298299299299298300299300299297297296297298297295296296299297297297298298298294296297296298298298298298297298298297299299300299299299299299299299299298298299299299299299299299299299299299299298299298299299299298298298298298298298299298298298299299298298298298298298298298298298298299298297298298298297298298297297297298297298297298298298298298298298297297297297297297297296296296296296296296296296296296296296296296296296296296297296296296296296296296296297297298298298298298298298298298298299298298299299299300300300300300300300300300300300300301301300300301301302302302301302303303302303303302303303303303302302300301302301302302303302301302301301302302303303303303303303302302304303303303303304304304303303303303304304303303303303303303303304303303303302302302302302301302302301301301302302302301301301301301301301301301301301301301300300299299299299300300300300301302301300300301301302302302302302302302302302302302302302302302303302302303302302302302303302303303303303302302302302303304303303302304303304304305306305305304305305306307306306307307307307306307307308307308308309308308309309309309309309309310309311311310310311311310310309309309310309310310310309309309309310309309309309309309309309309309309309309309308308308308307307307308308307308308308309308309308308308308307307308308307307307307307307307307306306307307307307306307307306306306 999999999999999999999999999999999999999304304301999303305305304304303302301999999999999999999999999999999999999999999999295294294294294294293293293293292292292292294294295294295295296296296296296296297297296299297297298298297298297297298298298298300300299301302303303302303303302301302302303305305306306306305305303304304305304304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305306302300297295294293295295295295296295294294293293294294294295295296296297299300300301302303303303303304304303302301301300300300300299298298298299300300300299300299300301302302301301301302303303303304304303303302298296294293292289287285285283283281281282281282282282281282282283284285285286286999999295295294999294294294292291291291292293293293293293293295295295295295295295295295295295295295295296296297297296295295295296296296296296295296296296296296296297297297297296296296296297298298299300300299300299298298299298298300301300300299297296296298298297296296297297297295298297298297295297298297297298299298298299298298299297299299299299299300299299300300298298299299299299300299299299298299299298299298298299298297298298298298297297298298298298298299299298298298298298298298298298298298298297298297297297297297297297297298297298297298297298298298297298297297297297297297296296296296296296296296296296296296296296296296295296295295296296296296296296296296296296296297298297297297297297298298298298299298298298298298298299299299300300300299299300300300301301300301300301302302301301302301302301303303302303303303302302301300301301301301302302302301302302301301302303303303303303303302303304303303303303304304304304303303303303303303303303303303303303303303303303302303302302302301301302302301301301301301301300301301301301300301300301301300300300299300300300300300299299300301300301301300301301301301301301301301301302302302301302302302302302302302302302302302302302302303302302302301301302302303304303304304304305305305305306305305304305306306306307307307307307307306307308308308308308308308308308309309309308309310310310311311311310311311310309309309309308309310310309309309309309309309309309309309309309308309309309308308308308308308307307307308308308308309308308308308308308308308307308307308307307306307306307307307308307307307307307306306306306306306307 999999999999999999999999999999999999999302999999999999304305304303303303303301999999999999999999999999999999999999999999999294294295295294294293293292292292292292293293294294295295296296296296296297297297298297296297296296297297297297298298299298299299300301302302301302303303302301999999303304306306305304304305303304306306306304302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304303301298297294293293294296294294294294294294294294293295295296296297297298299300301302303303303304304304305303302302301300301301300299299298298299299300300300300300300301302302301301301302302303303304303301302300296294293292290287284283281282281281282281281282282282281282283284285285283284999999293295295294296295296294292292291291292292292292293294294293294295294295295296296295295295295295295296296296297295295295296296295296296296295296297296297297298297297297297297297297297298298299300300300300300299298299298299300300300300299301297296297297297298296296297296297297296296298297296298298298297298298299298298298299298298298298299299299300299299298299298298299299299299299299299299298298299298299299299299299299298298298297297298298298298298299299298298298298298299298298298298297298297297298297297297297297297297297298297297297297297297297297297297297297297297296297296296296296296296296296296296296296296296296296295295296296296296296296296296295296296296296296297297297297297297297298298298298298298298298298298299299299300299300299299299300300300300300301301300301301301301301302301301301303303303303302301301301301301301300301301301301301302303302301301302302303303303303303304303304303303303304304304304304304304304304304303303303304304303303303303303303303302302301301302302302302301300300300300301301300300300301300301301301300300300300300300300300299299300300301302302301300301302301301301301301301302301302301302302301301302303302302303302302302302302302303302303302302302302303303304305304304305304304304305305305305305305305305306306307307307307308306307307308308308308309308309308309309309309310310310310310311311311310311309310309309309309310310310310309309308308308308309309309309309309309309309308308308308307308308307307307307308308308309309308308308307308307308308308307307307306307307307307307307308307307307307307306307306306306306307 999999999999999999999999999999999999999305999999999303304304304303303304304303302302999999999999999999999999999999999999999293294295295295294292292293292291291292292292293293294295294295295296297297298297296297297296296297296296296296297297298298299299299298298298300301303303302999999999999303305306304304304303302303306306307306302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302299298296294293293293294294292292293293294294295295296296296298298298299299300301301303304304304304304304304303303302301301301301300299299298299299299300300301301301300300301301301302302302302302303301299299297292292291289287283283282280280281281281281281281282282282282282283285285284284999292294295294293296296298294292292291291292292292293293293294293294294294294295295296296295295295295296296296297296296295296296296296296296295296296297297297298298298298296297297297298298298298299300299299300300299298300300299301302300301299300299299297298298299296296295297296297295296297297297298298297298297298297298298298298297298298299299299299300299299298298298298298299298299298298299299298299299299299299298298299298298298298297297298298298297297298299299298298297297298298298298298297298297297297298297297297298297298297298297297297296297297297296297297297297297296296296296296296296296296296296296296296296295295295295295295296296296296296296296296296296296296296296296296296297297297297297298297297298297298298298298298299299299299299299299300300300300300301301302301301301301301301302301302302302303303303301301301300301300300301301301301302302303302302302302302302302303303303303303304304304304304304304304304304304304304304304303303304304304304303303303303303303302302302301302302302303302301301300301301301300300301300301301300300300299299299300300299299299299300301302302302301301302301301301301301301301302302301302302301302302302303303303303303303303303303303303303303303303303303303303304304304305303304304304304304304304304305306306306307307307307307307306307307308308308308309309308309309309309309310310310310310311310311310310309310310309309310309309310310309309308308309309309308308309309308309309309308307307307307308307307307307307307308308308309308308308307308307308308306307308307307307307307307307307307307307308307307306306307306306306307 999999999999999999999999999999999999999999999999999302304304302302302303303304303302302999999999999999999999999999999999999999295295296295294293292292292291291292292292293294294294294295295296296296296297296296296296296296296297296296297297298298298298299299299300300301301302302999999999999999306305305305305303302302306306307306305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298296295294293292293293293292292293294294294295295296297297297298298299300300301301303303302303303304304304303303302302302302302301300299298298298299300301301301301300300300301301301301302301301301298294295292288288287285283281281281280281280281281281280281282282282281282283285285285999999999999293293294295297297294291291291290292292292292293293294293293294294295295295295295296296296296296296297296297296295295295296296296296296296297298297298297297297297298297298298298298298299299300299299299299298298299299299300300300300300299299296298299298298298297297297296296296295296296296298299298299299299299298298298298298298298298298299299300300298298298298298298299298299299298299299299299299299299299298298298298298298298298298298297298298299299298298298298298298297298298298297297298298297298297297298297298297297297297297296296296297297297296296297297296296296296296296296296296296296296295296296295296295295294295295295295296296296296296296296296296296296296296296296296296296296297296297297297297297297298298298298298298299299299299299300300300300300301301301301301301301301301302302301303303303303302301300300301301300301301301301302302302301302301300302302302303303303303303303303304304304304304304304304304304304304304304304303304304304303304304303303303303303302303302302302302302302301301301301301301301301301301301301301300300299299300299300299299299299300300302303301301301302301301301300301301301301301302301302302302302302302303303303303303304303304303303303303304304304304304303303304304304304304304304304305305304305305305306306306307307307307307307307308308308308309309308310309309309310310311311310310310310310311310310310310308307308309309309309309309308309309309309308308308309309308309309308308307307307308307307307307307308307308308309308309307308308308308308308307307307306307307307307307307307307307307307307307307307306306306307307 999999999999999999999999999999999999999999999999999302303303300301302303303304304303303302301302999999999999999999999999999999296296295295294294292292292291291292292291292293293294294295295295295296296297296295296296295295295296295296296297297298298298298299300299300301301301302999999999999999999999999999999999999304304307307305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295295293292292292292292292293293293293293294295296296298299299300300301301301301302303303303303304304304303302302302302303302301300299299298299299301301301301301301301301300301301301301300299298295293999999287286283281281281280280280279281281281281280281281282282282283283284286284999999999999292292293295295295293291291290291291292292292293293293294294294294295296295295296296296296296297296297297296296296296296296295295295296296297296298297298298298297297298297298299300299299299299299299299299299300300299299299300300300299299300297299299298297297298297296295296295296297297297299298298299299298299298298298300300298298299298298298299298298299299297298298298299299298298298298298298298298298299298298299298298298298298298298298298298299299298297297298298298298298298297297297297297298297298297298298299297297297297296296296296297297297296296297296296296297297297296296296296296296296296296296296295295295295295295295295295296296296296296296296296296296296296296296296296296296297296296296297297297297298298297297298298298299299299299299300300299300300300300300300300301301301301302302303302301302302301301301300300300300300300301301301301301301301301302303303303303303304303303303304304304304304305304304304304305305304304304304304304303303303304303303303303303302302302302302302302302303302302302302302302301301301301301301301300300301301300300299299300300300301301301301300301301302302301301301301301301301302302301301302302302303303303303302303303304304304304304305304304304304304304304304305305304304304305305304304304304305305306306307307307308308308310310308308309309309309309309310309309309310311311310310310311311311311310309310308308308308309309309309308308308308308308308309309309308308309308307307307307308308308307307307307307308308308308308308308308308308308308307307307306307307307307307307307307307307306307307306306307306306306307307 999999999999999999999999999999999999999999999999999999999302999999301302303303304304304303304302301999999999999999999999999999297296296296295294292292292291292291291291291292293294294294294294295296296296295296296296296295295295295296296297298298298297297298299300300301301999999999999999999999999999999999999999999999999305306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293294291291291290290292294293293293294295296297298299300300301302301302301302302302302302303303303303302302302303302303302301300298298299300302302301301302301301301301301301301300299298297293999999999999284280280279279279280280280281281281280281282282281281282283283285285999999999999999292292292294294295999290291290291291291292292293292293294294294294295295295295296296296296296297297297297296296296296294296295295296296296296297297298298300297297297298299300301300300300300299300300300299299299300300300299299299298299299299298299299297298298297297296295296297296297297298297298299299298297298298299299299299298298298298297298298297298298298297298298300299299298298298297298298297298298298298298298298298298298298298298298298298298298298297298298298298298298298297297297297298297298298298298297297297297297297297296296296297297296296297296296296297295296296296296296296296296296296295296295295295295295295295295295295295296296295296296296296296296296296296296296296296296296296296296297297297297298297297297298298298298298299299299299299300300300300301300301301300301302301302303302301302302301301301300300300301300300300300301301301301301301301302303303303304304304303303304304304304305305305305304305305304305304305305305305304304303303304303303303303303303303302303302302302303303303302302302302302302301301301301300301301302301301301301300300301301301301301301301301302301301301301301301301302301301301301301302302302302303303303303303303303304304304304305305305305304304304304304304304304304304304304304304304304305306305306306306306306307307307309308308309308309309309309310310309309309310310311311310312311311311311309309309311309307307308308309308308308308308307308308308309309309308309307307307307307308308308307307307307308308308309309308307307307308308308308307307307306306306306306307307307307306307306307306306307306307307307307307 999999999999999999999999999999999999999999999999999999999999302304999999999302304304303303303303302300999999999999999999299999999297297296295294293293292292292291290291291291292292293294293294294294295295295295296295296296295295295296296297296297297296297297299300300301299999999999999999999999999999999999999999999999999999999999310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292289288289291292293293293293294295296298298300300301301302301301300300301301301301301302302302303303303303302302302301300298298298300302303302302302301301300301302301300299298296293291999999999999279279280279279280280281281281281280281281282281282281282282284284285999999999999999292291291999999999999289290290290290291292292293293293293294295295295295296296295296296297297297298297297297297296295295296296296296296296297297297299299299297298298298300300301300301301301300301301300301300300301301300299300299299300298299300298298301298298296296297297297296296301300298297299299299298298298298299299299298298297297297297297297297297298298298298298299299299297297298298297297298297298297297297298298297298298298298297297298297298298298298298298297298298298298297297298298298298298298298298297297297296296297296296296296296296296297297297296297296296296296296296296296296296296295295295295295295295295295295295295296295295295295296296296295296296296296296296296296297297296296296297297297297297297297297297298298298298299299299299299300300300300300301300300300300300302302301302303302301301300301301301300300300300300300300300301301301301302302302303303304304304304304304304304304304305305305305305305305305304304304305305305304304304304304304304304304304304303303303303303302302302303303303302302302302303302301301302301301302302301301301301301302301302301302302302302302302301302301301301302302302302302302301302302303303303304303303304303303304304304305305304305304305304304304304303303303304304304305305305305305305306306306306307306306307307308308308309307308308308309310310310309309309309310311311311311311311312310309309309311310308308308308308308308308308308308308308309309309309309308308308307307308308308308307307307309308308308308309307308309307308308308308307307307307307307307307307307307307307307307307307307307307307308307308308 999999999999999999999999999999999999999999999999999999999999999304999999999303303303303303303303302301999999999999999999301999299298297297296294294293293292292291290291291290291292292293293293294293294294294294295295295296295295295295295296296296296297296297299300301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291290289290291291292293294294296296297298299300301301302302301301299299300300300299298299301302303303302302302302303301300299298298301302302301302302302302301300301300299298296296999999999999999280279279279279279280281281282281282280280282282282281282283284284286286999999999999999291293999999999999999289290289289290292292294293293294294295295295296296296296296296296297297298297297297297297297295296297298297297297297297298297299299299299299300299301301302302302302302302301302300300302302301300301300299299299300299299300300300300299300298298299299298297299301300298299299300300300299298299300299299299298297297298298298297297297298297298298298299299299297297298298297297297297297297297297298298298298298298298297298298298298298298298299298298298298298298298298297298298298298298298297297297296296296296296296297296296296297297296296296296296296296296296296296296296296296295295295295295295295295295295296295295296295296296297297296296296296296296296296296296296296296296296296297296296297297297297297297298298298299298299299299300300300300301301300300300300301301302302302302302301301301301301300301301301301301301301300301301301302302302303303303304304304304304304304304304304305305305305305305305305305304304304304305304304304304304304304304304304304304304304303304303303303303304303303303303304303302302302302302302302302302302302302302302302302302302302302302302302303302302302301302302302302302301301302303304304304303303303304304304304304305305305305305304304304304304304304304304304304304304305305305305306306306306306307307307307307307307308307306306308308308309309310309310309310310311311311310312311312309309309309310310307307307307307307307307308308308308308309309309309309308307307307308308309308307307307308308307307307307308308307308307307307307307307307307307307307307306307306306306307306307307307306307307307307307307307 999999999999999999999999999999999999999999999999999999999999999301999999999301302301301301302303302301301301301302301301300299298297296296295294294293293292291291290290290289290290291292291292292293293293293293293293293294294293293293295295295295295296295297298299300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289289290290291293293294295297297299299301301301301301301301999999999999299297297298300301302302302301301301302301299298297298301301302301302302303301301299299298297295294293999999999999278279278278278278279280281281281281281280281282282282281282283283284285999999999999999298295999999999999999999288290288291292291292292293293294294295295295296295295296296295296297297297297297296297297296295297297297297297297297298298298299300299299299300300301301302301302302301301301303299299300302302301301301299299299299300299300300302300300300298297297297297299300299300299299300300300300299299299299298297296297295297299297297297297297298297297297297298298297296297297297297297297296297297297297297297297297297296297297297297297298298297297298298298298297298297297298298298298298297298297298297297295295295296296296296296296296296296295296296296296295296296296296295295295295295295295294295294294295295295295295295295295295296296296296296296296296296296296296296296296296296296297296296297297297296297297296297297298298298298298299299299299299300300300300300300300300300301301301302301301301300300301300300300301301301301301301301301301302301301302302303304304304304304303304303304304304305305305304304304305304304304304304304304304304304303303303304303303304304303304303304303302303303303303303303303303303303302302302301302302303301301301301301302302302303302302302301302302302302302302302302301302302301302302302303303303303303303303303303304304304304305304305304304304303303303303303304304304304304304305305305306306306307307306306307307307307307307307307307307307307307308309309309310310310310310310310310310310310309308308308307307307307306307307306307307307307308307308308309308308308307307307307307308309308307307307307308307307307307308308307308307307306307307306306307307307306306306306306306306306306307307307307306306306307307307308 999999999999999999999999999999999999999999999999999999999999999999999999999300300298299299301302301300300300301300299299299298297999999999296295294294293293292292290289289289290290291291292292292292292292292291292293293292292293293293293293294295295295296297298299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290290291292294294295296297298299300300300300300299299301999999999999999999298298299300300300300300300300300301299298297298300300300301301302302301301299297298296294999999999999999999277278278278278279280280280280280280280281282282282281282282282283284284999999999999298298296296999999999999999289289289290292291292292292293294294294296295295295296296295295296296297296297298297297298297297298298297298298298298298299299299301300300300300301301302302302302302302303304303302300301303303302301300301300299303299301300301301300299299298298299299298299298299300300300300299299299300298297298298297298297296298299297297297297298297297297297298297297297296297297297297296296296296296296296297297297297297297297297297297297297297297298298297298297298297297297298298298298298298298298298297297296296296297297297296296296296296296296295295295296295295295296295296295295295295295295294294295295295295295295295295295295295295295296296296296296296296296296296296296297296296297296296297296296296296296296297297297298298298298298299299299299299299300299299300300300300300301301301302301302301301301301300300300300300300300301301301301301301301301302302303303303304304304304304303304303304305305304304304304304304304304304304304304304303304303304304303303304304305304304304303302303303303303304304303303303302303302302302301302302302301302302301301302302302302303303302302303302301302302302302302303302302302302302302303303303302302303303303303304304304304304305304304304304303303303303304304305305305305305305305305306306306307307307307307307306307307307307307307306306307307308308308308309309309310310309309309309309309309308308307307306306306306307306307307307307307307307307308308308308307307308307308308308309309308307307307307307306308308308308308308308307307307307307306307306307307307306307306307306306306307307307307306306306307308307307 999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999298299300999299300300299299999999297999999999999295295294294294293293292291290289289289289290290290291290291291291291291291292291290291291292292293293293294295295295296297298299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290292293295295296297298298299299299298298299299298299999999999999999999999298298299999299299299298299298299298297296298299299299299300300300300300298296296295999999999999999999276277277277278278279279280281280280279281282282281281282282283283284284284999999999298298298999999999999999999290289290290291291291292292292293292295295296296295296296295296296296297296297296297296298297297297298298297298298298299299300300299300301301300301301302303303304302303303303305304303303303302303304302301300300301302300300300301300302300299297298299300297299300299300299301299299299299299297297298298298297297298298296297298298298298297298297297297297297297296297296296296296296296296295295295296297297296296296296296296297297296297297298297297297297299298297298298298298298299299298297297297297296296296296297297295296296296296295295295295295295295295295295295295295295295294294294294294295295295295295295295295295295295295295295296295296296296296296296296295296296296296296296296296296297296296296296297297297298297298298298298298298298298299299299299299300300300300300301300301301301300300301301300300300300300300301301301301301301301300301301302302303303304304304304304304304304303304304304303303303304304304304304304304304304304304303303303303303304304304304303303303303303303302302303302302303302302302302302301301301302301301301302301302302302302302302302302302302302302302302302302302302303303302303302302303303303303303303303303303304304305304304305304304304304303304304305304304305305306305305305306306305305306306307307307307307307306306306306306306306306306307308308308308309308308310309310309309308309309309308308307306306305305306306306306306306307307306307307308308308308308308308308308308309308308308308307308307306306307307308307307307308307307307307306306307307306306306306306306306306306306306307306306306306306306307307307 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299297299300299298999298297297297999999295295294293294293293293292291290289289289289289289289289290290290290289290290290289290289290291292293293294294295295296297297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293295296296297298298299298298297296297297297999999999999999999999999999999999999999999999999999999999297295295295298297297298298298298298298297295294999999999999999999277276276277277277278279280280280280280279281281282282281283282282283284285286287999294296295999999999999999999293290290290291291292291291292292292292294295295294295295295295295296296296297297298298297295296297296298297298299298298299299300301300300301300300301301302303303303302303303303302304303304301302304302301300299300301302302301302300301302301300297299299299299299300299300301300299300299299300299297297297296297297297296296297297297298297297297297297297297297296296296296296296296295295296295295295296297296296296297297296297297297296296297297297297296297297298298298298299299298299298298297297296296296295296296296295295295295295296295294295295295295295295295295295295295295295295295294294294294295295295294294294294294294295294295295296296296295295296296296296296296296296296296296296296296296296296296296297297297297297297297297298298298298298298299298298299299300300300300300300300300300300300302301301301300300300300301300301301301301301301301302302303303303304304304304303303303303303303304303303303303303303303304304303303304304304303303303303303303304304304304303303303303303303303302302302302302302302302301301301301301302301301302302302302302303303303303302302303302302302302302302302302302303303303303302302303303302302302302303302303303303304304304305304304304303303304304305304304304305305305305305306305306306305306307306306307306306306306306306306305306306307307307307307308308308308309310309309309309309309309308308307309307305306306305306306306306306306306307307307308308309309308308308308309308309308308308308307307306306307307308307307308307308308307306306306306306306306306306306306306306306306306306305306306306306307307307308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299297999299299299298299299999298297297999295295295294294294294293293291291290289289289289288288289289289289289289289290290291290290291292292293294294295295295296297298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294999999999999999291291292293294295296296297298299298298298999296297296999999999999999999999999999999999999999999999999999999999999999999295999999999999999999999999298297298999999999999999999999275276275277277278278279280280280280280279280280280282282283283283283283285285286286286999293298999999999999296294294291290290291291291291290291291293293294293294293295295295295295296297297298298298298296297296297298298298299299298299300300301301301301301301302302302303304303302304304304302302302302303304300300300301300299300301303304302302301302301300300300301300300300299300300301301301300300300299300299298298297297296297296296296296296295297297297297297296297296296296296296296295295296295295295295295296296296296296297297297297297297297297296296297297297297298298298298298298299298298299298298298297297296296296295296295295295296296295294295295295295294294295295295295295295295295295295295294294295295295295295295294295294295294294295295295296296295296295295296295296296296296296296296296296296296296296296296297297297297297297297297298297298298298297298299298299299299299300300300300300300300300300301301301301301300300300301301301301301301301301301301302302303303303303304303303303303303303303303303303303303303303303303303303303303303303303304303303304303303304303304304304303304303304303303303303303303303303302302302302301302301301301301301302302302302303303303303302302303302302302302303302303302303303302302302303303303303302303302302303303303303303304304304305304304305304304304304304304303304305305305305305306305306306305305306306306306306305306306306305305305306306306307307307307307308308309308309308309310309309309309308308307308306306306306306306306306306306306306307307307307308308309309309308308309309308309308308308307307307307307308308307307307308308308307307307307306306306306306306306306306306306306306306306306307307306307307307308 999999999999999999999999999999999999999999999999999999999999999999999999999999298298298999999298299298999298299298299299299299298298298297296296295296295295294294293292291290289289288288288288288288288288289288289289290291291291292292293293293294294294295296297297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292292292292292291291292292293293294295296297297297298298298297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276277278278279279280280280281281280280279280281281281282283283283283283284284284287284999999999999999999290292292293291291290290290290291291292292293293293294294294295295295295296296297297298298297298298296297298298298299299299299300300302301302302302302303303303303303304303303304304303303302302302302301299301300301301301301303301302302302303301301300300300301302300300300300300300301300301300299300299299299298298296297296297296296295295297297297297297297296296296296296296296296296296295295295295295295295296296296297296297297297297297297297297297297297297297297297298297298298298298298298298298297297297296296296296296295295295295295295295295295295295294294295294295295295295295295295295295295295295295295294294294294294295294294295295295296296296295295295295295296296296297296296296297297297296296297296297297297297297297297297297298298298298298298298298298299298299299299299300300300300300300300301301301301301300300300300301301301301301301301301301301302302302303303303303303303303303303303303303303303303303303303303304303303303303303304304304304304304304304304304304305304305304303303303303304303303303303303303302302302301302302302302301302302302302303303303303303302303303303303303303303303303302303303302303303303303303303303303302302303303304304304304304303304304304304304304304304304304304304305305305305306306305306305306305305306306306306305306306306306306306306306306306307307307308308308309310310309309308310309309308308307307307306306306306306306306306306305306307307307307307307307308308308308308308308309309309308308308307308307307308308308308307307307307307307307307306306306306306306306306306305305306305306305305306306307307307308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296298297298298299299300300299298298298298297296295295296296295294294294293292290290288288288288287287287288287288288288288289290291291292292292293293293293294294295296297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292292292292292292292293293293293294295295296296297298298297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277279279279280279279280280281280279279279280280280282283283283282283284284285284283999999999999999999999999289289291290291290289290290290291291291292292293293293294295295295295295296298298298299297297298296297297298299299299300300300301302302302302304303304303304304304303303302303304303302302302303302302301300299299302302301302301304303302303302301301301301302302302300301299299299300300299299299299299298298298297298297296296296296296296296296295296296296296296296296295295295294295295295295295294294295295295296296296296296296297296297296296296296296296296296296296298297297298297298297298297298297296295295296295295295295294295295295295295295295295295295294295295295295295295296295295295295295294295294295294294294294294294294294294295294295295295295295295294295295296296297297296296297297297296296296296296296297297297297297297297298297297297297297297298298298298298298299299300299299299300300300301301301301300300300300300300301300300301301301301301301300301302302302302302302302302302302302303302302303303303303303303303303303302302303303303303303303303303303303303304304304304303303302303303303303302303302303302302302302302301301301301301301301301302302303303303303302303302303303303302303302302302302302302302302303303302303302302302302302303303303303303303303303303303304304304304304303303303304304304305305305306305305304305305305305305305305305305305305305306305305305306306306306307307308308309309309308308309309308308308307307306306306306305306306306306306305305306306307307306306307308307307308308307308308308309309308308308308308308308308308308307307307307307307307307307307306306306306306306306306305305306305305305305306306305306307307307 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999297298299299299300300300299297297297297296296296296296295295294294293292291290289288287287287287287287287287287287288289290290290291292292292292293293293294294295295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292291291291292292293293294294294294295295295296297297298296296296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278279280280280280280279281280281280279279279279280281282282281282283283283284284284284999999999999999999999999999999999289289289290290290290290290291291292293294294294295295296295296298298298297298298297297297297298298299299299300300301301303303302304305304304304304304303303302302301302304301301302302301301301300300300301301301302301302303302302303302302302302302302302300301299299300300300298298297298297298297297297296296297296296296296296296296296296295295296296296296296295294295295295295295294294294295295295296296296295296296297296296296296296296295295295296296297297297297298297297298297297297296296295295295295295295294295294295295295295295296295294295295294295295295295295295295295295295295294294294294294294294293294294294294294294294294294294295294295294295295295296297297296296296296296296295296296296297297297297296297297297297297297297297297297297298298298298298298299299299299299300300300300301301300300301301300300300300300300300300301300301301301300301301301301302302302302302302302303302302303302303303303303303302302303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302301301301301302301301301301302302302302302302302302302303303303303303302302302302302302302302302302302303302302302302302302302303303302303303303304303303303303304303304303303304304304304304304304305305304304304304305304304305305304304305305305305305306306306307307308308308309309309309309309309309309308307307307306306306305305306306305305305305305306306306307307306307307307307307307307307308308308308308308308308307308308308308308307307307307307307307307307307307306306306306305306306305305305306305305305305306305306307307307 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999298299299300300299298297297297297297296296296295295295295294293293292290289288288287287287287287287287287287288288289290290291291291291292292293293294294295295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292291292292293292293293294295295295295295296297297297296295294999999999999300300300301300999999999999297296296295295294999293292292292291291291291290290290289999999999999999999999999999999999999999281280281281281281280280280280280280281280279279279280280280281282282281282283284284283283286284999999999290288999999999999999999288289289289289290289289290291291292293294295294295294295296298299298298298298297297297298298299300300299299301301302303303303303304304304304304304303303302302302302303301302302302301302301300300301302302302302301303304303302303303303303302302302301301300300300300300299298297298296297297297297296296296297296296296296296296296296296296296296296296296296295295294295294295295295295294294295295296296296297296296296296296296296296295296295295295296297297296297297298298297296296297296296296296295294295294294294294295295295295295296295294295295295295295295295295295295295295294294294294294294294294294294294294294294294294294295295295295294295295295295296296296297296296296296296296296296296296297296296297297297297297297297297297297297298298298298298297298298298299299298299300300300300300301300301300301301301301301301301301302301301300300300300301301301301302302302302302302302302302303302302302303303303303303303303303303303303303303303303303303302303303303303302303303302302302303303303303303303303302302302302301301302302302302302302301301302302302302302302303303303303303303303303302301302302301302302302302302302302302302302302302303303303303303303303303303303303303304303303303304304304304304305304305305305305304304303304304304304304304305305305305306306306307307307307307308308308309308308309309309308308307307307307306307306306306306306306305307306306306306307307307307307307307307307307308308308308308308308308307307308308308308308307307307307307306307306307306306306306305305305306306305306305306305306306306306306306307308307 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295999999999999999298298299299299299298297297297297297296296295295295295295294293292291290289288287287287287287287287287287287288289290290291291291291292292293293293294294295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292291292292292294293294295294296296296296296297297296296295294294999999999999299301301300300299298298296296295295294294293293293292292292292292292292292291291289288999999999999999999999999285284281283283282282282281281282280280280281281280280279279279279280280281282282282282283284284284284287286285999999288289289288287286999999288289288289289289289289289289290291291293294294296294295297300300299300298297297297298298299299299299299301301302302303303303303303302303304304304303302302302302302302301301303302302301300300300302303303303303302303303302302303303304302303302301301301299300299300299298298298298297297297297297297295297296295295296296296296296296296296296296296295296295295293294294294295295295294294294295295295295296296296296296295295296295295296295296295295296296296296297297296296296296296296296295295295295295294294294294294294294295294294295295294294294294295294294295295295295294294294294294294294294294294294294294293293293294294294295294294294294295295295295295296296296296296296296296296296296296296296297297297297297297297297297297297297297298298297297298297297297298298299299299300299300300300301300300300300300300301301301301301301301300300300300300301301301301301301302302302301302302302302302302303303303303303303303303303303303303303303303303302302303303303303303303302302302302303302303303303303302302302303302302301301301302302302302302302302302302302303302302302303303303303303303303302301302302302302302302302302302302302302302302303303303303303303303303303303303302303303303303303304304304305304304305305304305304304304304304304304304304304304305305306306306307306306307307307307307307308308308308308308307306306306307306306307306307305305306306305306307306306306306306306306306307307307307307307308308307308307307308307308308307308308308308307307307307307306307307307307307306305305305305305305305305305306306306306306306306307308308 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298299299298297297297296296296296296295295295294294293292291290289288288287287287287286286286287287288288289290290290291291291292293293293293294295296298298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292292293293293293295295295296296296297297298298297297296295295294999999999299300300301300300299300299298297297296295295294294294294294294293293293293292292291290289287286284283286284284282282280281282282283283283282281281280280280281281280280279279279279280280281281282282283283283283285285287285283999999287290289288288284288287287286288289288289289289289288290290291293293294295293294297298299300300298297297296297298298298299299300301301302302302302302302302302302305304304303303302302302302303303301302301300301301300301302302304303301303303304302303302302303304302302301300300300300300300299299298298297298297297297297296297297296296295296296297297296296296296296296296296294295293294295294294295294294294294294295295295295295295295295295295295295296296296296296295296295295295297296297296295295295295295295295295295295295294294294294294294295295295295295294294293294294294294293295295294294294294294294294294294294294294294294294294294294294293294294294294295295295295295295295296295296296296296296296296296296296297297297297297297297297297297297297297297297297297297297297298298297298298298299300300300299299301301300300300300300300300301301301301301301300300300300300301301301301301301302302302301301302301302302302303303303302303303303303303303303303303303303304303303303303302303302302303302302303303303303302303303303303303303303302302302302302302302302302302302302302302302302302302302302302302302302302302301302302302301301301301301301302302302301302302302303302303303303302302303302303302302303303303303303304304304304305305304304305304304304304304304304304304304304305305306306306306307307307307307307307307307307307307307306306306306306306307306306305305305305306307306306306306306306306305306307307307307308307307307307307307307307307307307307307307308308308308307307307307307307307307306306306306306305305306305306305305305306306306306306306306307307 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298299299298297296297296296296295295295295295294294293293293292291290289288287287287286286286287286287288288289290290291291291292292293293293293294295298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292293293293295295295295294296296297297297298298298297297296295295999999999298299299301300300300300300300299298298298297297296296296296296296296295295294294293292292291290288287286286284283282282281281281281282282282281280280280281282282281281280279279279279280280281281281282282282283283284284285283282999999287289289288287287287287288287287288288289289289289288289289289290292294294294295296297298299300299298297297297298298299300300301302302303303303303302302303303304304303304305304302301301302303303301300301301300301301301301303304302302302302303303302302302303303302300300301300300300300300299299298297297297297296296297296296297296297296296297297297297296297297296296296297294294295295295294296296295295295295295295295295295295294295294295296296296295296295294295294295295295295296296296295295295294295295295295295295295295295295295295294294295295295295295294294294294294294294295294294294294294295294294295294295294295295295295295295294294294295295295295295295295295295295295295296295295295295295295296295296296296297297297297297297297298297297297297298297297298298298298298298298298297298299300300301300300300300300300300301300300301301301301301301301301300300300300300300300301301301301302301302302302302302302302302303303303303303303303303303304304304304304304303303303303303303302302303303302302302302302302302303303303302302303303303302302303303302303302302302302302302302302301301302302302301301302302302301301301301301301301301301301301302302302302301302302302302302303302303303302302302302303302303303303304304303304304304304304304305304304304304305304304304304304304304305305306305306306306306306307306307306307307306307306306305306305305306307307306306306305305305306307306307307306306306306307307307307307307307307308308308308308308307307307307307307307308308308307307308308308307307307307307306306306305306306305306306306306306306306306306307307307307 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297298299298298296296296295295295294294294294294294294293292291290289288288287287287286286286286287288288288289291291291292292292293293292293293294296299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293293295296294295295296296298298298299299298298297296293294293999999297298300300300300300300300299299300299300299298298298299299299299298298297296295294293293292291289287286285282281279278277278277278280280280280280280281281281282281281281280280280280280281280279280281281282282282284285283284284999999286288287288287288287287289288288287288288288288287287288287288289290290292293291294295295296298299298297297297297298300300301302302303304304303303303303303303303303303303304304303303302302302303302300300300300301301301303302302302301301302301301301301300301302300301301301300300300300300299298297297296296296296297297296298297297298296296296297297297296296297296296296296296296296295295295296295296296296295296295296296295294295295295296296296296295295295295295294295295295297295295294295294294294294294295294295295295295295295295295294295295295295295295294294294294294294294294294294294294294294294294294294294294295295294294295294294295295296295295296295295295296295295296295295295295295295295295295296296296297297297297298297297297297298298297297297297298298298298298298298298298298298299299300301301300300300301300301301301301301301301300301301301301301300300300300300300300301301301301301301301301301302302302302302302302303303303304303303304304304304304304303303303303304303303303303302302302301302302302302302302302302302302302303303303303303303302302303302302302302302302301301301301300300301301302301301301301301300300301300301301301301301301301301302301302302302302302302302302302302302302302302303303303303304303303304304305306305304304305305305304304304304304304304306306305305305305305305305306307308307307306306306306306305306305305306306306305307306306306306307307307306307307307307308307308307307308308308308307308308307308308308308308307307306307307307307307307307308308307308307307307307307306305306305305305306306305306307306306306307307307307